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Refractive Index and Dispersion of Fluorides and Oxides
Robert D. Shannon a…
Geological Sciences/CIRES, University of Colorado, Boulder, Colorado 80309
Ruth C. Shannon118 Left Fork Road, Boulder, Colorado 80302
Olaf Medenbach b…
Institut fur Mineralogie, Fakultat fur Geowissenschaften, Ruhr-Universita¨t Bochum, Universita¨tsstraße 150, D-44780 Bochum, Germany
Reinhard X. Fischer c…
Fachbereich Geowissenschaften, Universita¨t Bremen, Klagenfurter Straße, D-28359 Bremen, Germany
~Received 19 September 2001; accepted 13 May 2002; published 25 October 2002!
The refractive indices of 509 oxides and 55 fluorides were analyzed using two forms ofa one-term Sellmeier equation:~1! 1/(n221)52A/l21B, whereA, the slope of theplot of (n221)21 versusl22 in units of 10216 m2, gives a measure of dispersion andB,the intercept of the plot atl5`, gives n` 5(111/B)1/2 and ~2! n2215EdEo /(Eo
2
2(\v)2), where\v5the photon energy,Eo5the average single oscillator~Sellmeier!energy gap, andEd5the average oscillator strength, which measures the strength ofinterband optical transitions. Form~1! was used to calculaten at l5589.3 nm (nD) andn at l5` (n`), and the dispersion constantA. The total mean polarizabilility for eachcompound was calculated using the Lorenz–Lorentz equation:ae53/4p @(Vm) (n`
2
21)/(n`2 12)], whereVm is the molar volume in Å3. Provided for each compound are:
nD , n` , Vm, ^ae&, ^A&, ^B&, ^Ed&, ^Eo&, the literature reference, the method of mea-surement ofn and estimated errors inn. Results obtained by prism, infrared reflectivity,ellipsometry, and interference methods are compared. Consistency of dispersion valuesamong like compounds and structural families is used to evaluate the accuracy of refrac-tive index data. Dispersion values range from 40 to 260310216 m2 with the majority ofvalues in the range of 60– 100310216 m2. High dispersion is associated withs2, p6, d10,and transition metal ions, H2O, and crystalline hydrates, whereas normal dispersion val-ues are found in borates, aluminates, gallates, silicates, germanates, phosphates, andsulfates not containing H2O or any of the above ions. Exceptionally high dispersion isobserved in liquid H2O, Fe2O3, Y3Fe5O12, FeOOH, Fe2(SO4)3 , UO2, Cu2O, V2O5,MgCrO4•7H2O, and Cs2Mg~CrO4)2•6H2O. © 2002 American Institute of Physics.@DOI: 10.1063/1.1497384#
Key words: ellipsometry; infrared reflectivity; interband optical transitions; interference method; opticaldispersion; oscillator strength; prism method; refractive index; Sellmeier equation; single oscillator energy gap
Contents
1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9322. Presentation of Data. . . . . . . . . . . . . . . . . . . . . . . . . 932
2.1. Composition, Characterization, and Source... 9322.2. Method of Measuring Dispersion orn`. . . . . 9332.3. Sellmeier Analysis. . . . . . . . . . . . . . . . . . . . . . . 933
2.4. Error Limits. . . . . . . . . . . . . . . . . . . . . . . . . . . . 9593. Results and Discussion. . . . . . . . . . . . . . . . . . . . . . . 960
3.1. Comparison of Data Using DifferentMethods.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 960
3.2. Comparison of Dispersion Values. . . . . . . . . . 9613.3. Analysis of Dispersion Values. . . . . . . . . . . . . 963
3.3.1. Transition Metal Ions. . . . . . . . . . . . . . . 9643.3.2. d10 Ions. . . . . . . . . . . . . . . . . . . . . . . . . . 9653.3.3. p6 Ions. . . . . . . . . . . . . . . . . . . . . . . . . . 9663.3.4. s2 Ions. . . . . . . . . . . . . . . . . . . . . . . . . . . 9673.3.5. H2O and Hydrates. . . . . . . . . . . . . . . . . 9673.3.6. Summary of Effect of Electron
Configuration andEo andEd on
a!Electronic mail: [email protected]!Electronic mail: [email protected]!Author to whom correspondence should be addressed; electronic mail:[email protected]© 2002 American Institute of Physics.
0047-2689Õ2002Õ31„4…Õ931Õ40Õ$35.00 J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002931
Dispersion. . . . . . . . . . . . . . . . . . . . . . . . 9674. Acknowledgments. . . . . . . . . . . . . . . . . . . . . . . . . . 9685. References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9686. References for Tables 1 and 3. . . . . . . . . . . . . . . . . 9687. Appendix 1. List of Codens. . . . . . . . . . . . . . . . . . . 9698. Appendix 2. Alternative Forms of the Sellmeier
Equation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 970
List of Tables1. Refractive index and dispersion data. . . . . . . . . . . . 9342. Comparison ofn` values determined by prism
methods and reflectivity methods. . . . . . . . . . . . . . 9573. Inconsistent dispersion values. . . . . . . . . . . . . . . . . 9594. Dispersion parameters for oxides and fluorides:
Transition metal. . . . . . . . . . . . . . . . . . . . . . . . . . . . 9605. Dispersion parameters for oxides and fluorides
d10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9616. Dispersion parameters for oxides and fluorides
p6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9627. Dispersion parameters for oxides and fluorides
s2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9648. Dispersion parameters for H2O and crystalline
hydrates. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9659. Dispersion parameters associated with ions. .. . . . 966
List of Figures1. Mean dispersion valuesA& vs frequency of
occurrence. . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . 9592. DispersionA vs average Sellmeier energy gap
Eo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9593. DispersionA vs average oscillator strength. . . . . . 960
1. Introduction
Refractive indices (n) and their dispersion are useful forthe characterization of synthetic materials and minerals andfor the prediction of linear and nonlinear refractive indices(n2). Nonlinear refractive indices are defined by:n5no
1n2^E2& wheren5observed refractive index at wavelength
l, no5the linear refractive index, andE5the applied opticalelectric field @Adair et al. ~1989!#. For example, nonlinearrefractive indices of crystalline and glassy optical crystalshave been related to linear refractive indices and their dis-persion@Boling et al. ~1978!; Adair et al. ~1989!; Dimitrovand Sakka~1996!#. Also, in conjunction with dispersionstudies and derived values ofn` , sets of empirical electronicion polarizabilities ae have been derived from~1! theLorenz–Lorentz~LL ! equation:
ae51/b@~Vm!~n`2 21!/~n`
2 12!#, ~1!
where Vm is the molar volume in Å3, b54p/3 @Lorentz~1880!; Lorenz ~1880!; Tessmanet al. ~1953!; Kip ~1962!;Anderson~1974!# and n` is the value ofn extrapolated toinfinite wavelength from a Sellmeier equation and~2! theadditivity rule for the compound M2M8X4. The additivityrule states
ae~M2M8X4!52ae~M21!1ae~M841!14ae~X5!, ~2!
where ae(M2M8X4) is the total polarizability of the com-pound M2M8X4 andae(M
21), ae(M841), andae(X5) are
the electronic polarizabilities of M21, M841, and X5, re-spectively. Using these relations, sets of ion polarizabilitieswere derived from data on the alkali halides and alkalineearth chalcogenides by Tessmanet al. ~1953!; Pirenne andKartheuser~1964!; Wilson and Curtis,~1970!; Boswarva~1970!; Coker ~1976!; Raghurama and Narayan~1983!; andfrom data on a variety of minerals by Lasaga and Cygan~1982!.
During the course of the determination of an improved setof electronic polarizabilities, it was necessary to obtain arelatively complete database of refractive indices and disper-sion over the visible part of the spectrum~400–700 nm!.Although dispersion data such as those given in the compi-lations of Hintze ~1897!, ~1933!, ~1938!, ~1960!; Doelter~1914!, ~1917!; Li ~1980! and the Landolt-Bo¨rnstein~1962!,~1969!, ~1979!, ~1981!, ~1996!, ~hereafter referred to as LB!series have been published, there was no central location forthese data and it was frequently necessary to go to originalpublications to obtain dispersion data. Often there is no in-dication of the reliability of the data. In order to obtainn`
and dispersion constants, it is convenient to use Sellmeieranalyses. Sellmeier constants have been provided for manycompounds in these publications, but because of the largevariety of Sellmeier equations@Tropf et al. ~1995!#, analysisusing a common Sellmeier equation was not available.
To remedy this situation a literature search from the mid1800s to the present was done to provide a relatively com-plete list of refractive indices and dispersion for minerals andsynthetic fluorides and oxides~509 oxides and 55 fluorides!.To be of use in the LL analysis, it is necessary that compo-sition and unit cell volumes be available. Using the disper-sion data and the one-term Sellmeier equation described byDiDomenico and Wemple~1969!, we calculate dispersionparameters, the long-wavelength indexn` , andnD, the in-dex of refraction at the NaD line. Using estimated experimen-tal errors inn, comparisons of data on like compounds andtrends inn and dispersion in structural families, we make acritical evaluation of the data. Finally, from the values ofn` ,the unit cell volumes, and the LL equation, we calculate thetotal mean polarizabilityae& for each compound.
2. Presentation of Data
2.1. Composition, Characterization, and Source
This publication provides the composition, the refractiveindices atl5` (n`), and 589.3 nm (nD), molar volume ofthe compoundsVm, volume per anionVo , total mean elec-tronic polarizabilities^ae&, the mean dispersion parameters^A&, ^B&, ^Eo&, and^Ed&, along with documentation provid-ing an indication of the method of measuringn, the precisionof the measurement ofn, and source reference in an easilyaccessible form. Molar volumeVm is the unit cell volumedivided byZ, the number of molecules per unit cell. Volume
932932 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
per anionVo is defined as the molar volume divided by thenumber of water molecules and anions (H2O1O51OH2
1F2). In the text the values ofA&, ^B&, ^Eo&, and^Ed& foruniaxial and biaxial compounds, although writtenA, B, Eo ,and Ed , are mean values. The compositions of syntheticcompounds are generally accepted as correct. In the case ofsynthetic compounds, we give, when known, the crystalgrower. Almost all of the data reported here are from singlecrystals. Exceptions are PLZT (Pb–La–Zr–Ti–O3) compo-sitions. In this case the data from PbTiO3 ceramic withn52.523 (ae59.668) was found to compare well to singlecrystal data where one paper~Singh 1971! reported no
52.5218 andne52.5226 (ae59.665) and another@Nomuraet al. ~1973!# n52.5617 (ae59.792). In those cases wheresingle crystal data were not available, ceramic or polycrys-talline sample is specified.
In the case of minerals we give the mineral name, thecolor, and where available, the source of the specimen. Min-eral compositions are generally those given by the originalauthor. Following the composition, the symbol* refers towell known compositions, either as-grown synthetic crystalsor analyzed compositions of minerals. Many values ofn anddispersion for oxides and minerals have been reported in theliterature but we have only included those for which the unitcell is known and the composition is relatively certain. Insome instances such as phenacite (Be2SiO4), even though noanalysis was reported in the original papers, the data wereincluded because of the high probability of the compositionbeing correct. Many compositions, especially those reportedin LB ~1962!, ~1969!, ~1979!, ~1981!, ~1996!; Hintze ~1897!,~1933!, ~1938!, ~1960!; and Doelter~1914!, ~1917! are un-certain or questionable. In the case of the minerals, narsar-sukite, leucosphenite, and sodalite, even though the analysisor unit cell dimensions are not well known, we have includedthe data because the refractive index was well determined.For these entries, we have used in parentheses the nominal orideal compositions. In some cases, data from LB was omittedif the composition was uncertain and there were other ex-amples available where the composition was known, e.g.,garnets, cordierites, and beryls. In some instances such as forKH2PO4, where a number of accurate determinations ofnhave been made, we have included only 1 or 2 of the moreaccurate measurements.
Finally, we give the source of the data. In many cases, wegive the compilation from which the data were taken, e.g.,Palik ~1991!; Hintze ~1897!, ~1933!, ~1938!, ~1960!; orLandolt-Bornstein ~1962!, ~1969!, ~1979!, ~1981!, ~1996!.When convenient, we give the original reference using theCASSI ~Coden listed in the Chemical Abstracts ServiceSource Index! ~1999!. Appendix 1 lists the Codens used inthis paper. The effective cutoff date for literature search isJanuary 2000, whereas the earliest source was around 1850.Although Table 1 lists many of the dispersion data publishedbetween 1850 and 2000, it is not meant to be a completetabulation. Overall, we present data for 509 oxides and 55fluorides.
2.2. Method of Measuring Dispersion or n `
Although prism techniques have been used in the majorityof dispersion determinations, a variety of other techniqueshave also been used. We include a code describing themethod used to measure the refractive indices. The prismmethod using either minimum deviation or perpendicular in-cidence@Tilton ~1935!; Tilton et al. ~1949!; Werner~1968!;Tentori and Lerma~1990!; Medenbach and Shannon~1997!;Medenbachet al. ~2001!# has been used most often~about60% of the data given here! and can give the refractive in-dices accurate to the fourth or fifth decimal place. The im-mersion method@Werner~1968!; Verkouterenet al. ~1992!#~about 10% of the data given here! is less accurate but cangive values accurate to the 4th decimal place. Infrared reflec-tivity ~IR! measurements in conjunction with Kramers–Kronig analysis or the Lorentz oscillator model and classicaldispersion theory@Barker ~1964!# give the long wavelengthdielectric constant,«`5n`
2 , from fitting the parameter«` tothe reflectivity data. In general, data obtained in this manner~about 10% of the data given here! are accurate to the thirddecimal place. Some papers use an independent measure-ment ofn` and it is not always possible to distinguish thesevalues from the fitted values. When both IR and minimumdeviation measurements have been made, they have bothbeen tabulated for comparison. Ellipsometer methods@Jelli-son ~1997!; Jellison and Modine~1997!# have been usedmore recently and give results somewhat less accurate thanprism methods. We have compared several sets of data usingboth ellipsometer and prism methods and find agreement to60.02– 0.05. Critical angle methods including the use of theAbbe–Pulfrich refractometer@Straat and Forrest~1939!; Til-ton ~1942, 1943!; Hurlbut ~1984!# have been used often butnot in determining dispersion. Finally, interference methodsusing a Michelson-type interferometer have also been usedfor determining dispersion@Grehn ~1959!; Werner ~1968!;Moskalev and Smirnova~1987!; Shumate ~1966!#. Themethod of measuringn is not always given. Values quoted tofour decimal places in LB were assumed to be obtained byprism methods and therefore to be accurate to60.0001– 0.0005, except when indicated otherwise.
2.3. Sellmeier Analysis
There are many dispersion formulas that have been devel-oped to fit the refractive index over a wide range of frequen-cies. Many of the most common formulas are described byTropf et al. ~1995!. However, the single-term Sellmeierequation used by DiDomenico and Wemple~1969! andWemple and DiDomenico~1971! has the advantages of sim-plicity and of providing derived parameters that have physi-cal significance. In the form
1/~n221!52A/l21B, ~3a!
A, the slope of the plot of (n221)21 versusl22 in units of10216 m2 gives a measure of dispersion andB, the intercept
933933REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Sim
ple
Flu
orid
esLi
F*
11.
3858
1.38
581.
3858
1.39
161.
3916
1.39
1616
.21
16.2
10.
909
0.00
641.
0863
16.4
715
.16
51JR
NB
AG
4725
11
NaF
*1
1.31
961.
3196
1.31
961.
3255
1.32
551.
3255
24.8
824
.88
1.17
70.
0096
1.34
8914
.97
11.1
078
Ref
.7
7-10
51
2?
KF
*1.
355
1.35
51.
355
1.36
01.
360
1.36
038
.07
38.0
71.
981
0.00
741.
1977
16.0
413
.39
76JP
CR
BU
532
91
3
RbF
*1.
389
1.38
91.
389
1.39
81.
398
1.39
845
.13
45.1
32.
548
0.01
011.
0770
13.0
312
.10
76JP
CR
BU
532
91
3
CsF
*al
pha
1.46
91.
469
1.46
91.
479
1.47
91.
479
54.0
554
.05
3.59
40.
0074
0.86
4213
.69
15.8
476
JPC
RB
U5
329
13
CsF
*be
ta1.
566
1.56
61.
566
1.57
81.
578
1.57
854
.38
54.3
84.
235
0.00
580.
6884
13.7
820
.02
62R
ef.
1R
f18
91
4
AgF
film
1.73
1.73
1.73
29.7
729
.77
2.83
772
JCP
SA
656
3735
45
MgF
2*1
1.37
221.
3722
1.38
381.
3774
1.37
741.
3892
32.5
516
.28
1.78
30.
0062
1.11
9316
.97
15.1
678
Ref
.7
7-95
11
MgF
2*1.
381.
381.
3832
.55
16.2
81.
800
64P
RVA
AH
136
1290
35
CaF
2*1
1.42
551.
4255
1.42
551.
4336
1.43
361.
4336
40.7
420
.37
2.48
90.
0074
0.96
8914
.47
14.9
363
AP
OP
AI
211
031
1
CaF
2*1.
430
1.43
01.
430
40.7
420
.37
2.51
262
PH
RVA
O12
719
503
4
SrF
2*1
1.43
061.
4306
1.43
061.
4377
1.43
771.
4377
48.6
024
.30
3.00
10.
0064
0.95
5515
.51
16.2
380
JPC
RB
U9
161
11
SrF
2*1.
441.
441.
4448
.60
24.3
03.
058
62P
HR
VAO
127
1950
35
BaF
2*1
1.46
551.
4655
1.46
551.
4742
1.47
421.
4742
59.4
429
.72
3.92
70.
0066
0.87
1414
.52
16.6
664
JOS
AA
H54
628
11
BaF
2*1.
471.
471.
4759
.44
29.7
43.
959
62P
HR
VAO
127
1950
35
MnF
2*1.
462
1.46
21.
491
1.47
21.
472
1.50
139
.30
19.6
52.
626
0.00
630.
8547
14.7
617
.27
73P
SS
BB
D57
681
85
FeF
2*1.
498
1.49
81.
509
1.51
41.
514
1.52
436
.56
18.2
82.
574
0.00
950.
7961
11.5
714
.54
73P
SS
BB
D57
681
85
FeF
2*1.
508
1.50
81.
512
36.5
618
.28
2.60
880
JOP
QA
G41
543
54
NiF
2*F
L1.
493
1.49
31.
529
1.52
61.
526
1.56
133
.35
16.6
72.
361
0.01
980.
7909
8.00
10.1
173
PS
SB
BD
5768
18
5
ZnF
2*1.
486
1.48
61.
517
1.49
51.
495
1.52
534
.75
17.3
82.
425
0.00
590.
8076
14.8
318
.37
73P
SS
BB
D57
681
85
ZnF
2*1.
451.
451.
6134
.75
17.3
82.
454
64P
RVA
AH
136
1290
35
CdF
2*1.
491.
491.
4939
.14
19.5
72.
701
65P
RVA
AH
139
1211
37
PbF
2*1
1.72
481.
7248
1.72
481.
7668
1.76
681.
7668
52.3
826
.19
4.96
40.
0114
0.50
428.
4116
.67
86R
ef.
428
11
PbF
2*1
1.72
721.
7272
1.72
721.
7680
1.76
801.
7680
52.3
826
.19
4.97
70.
0125
0.50
638.
0515
.90
78R
ef.
77-
941
1
PbF
2*1.
581.
581.
5852
.38
26.1
94.
162
65P
RVA
AH
139
1211
37
EuF
2*1.
555
1.55
51.
555
48.9
824
.49
3.75
366
JPC
SA
W27
621
24
LaF 3*
11.
5954
1.59
541.
5910
1.60
581.
6058
1.60
0454
.77
18.2
64.
436
0.00
460.
6490
15.0
323
.15
66A
PO
PA
I5
1966
11
LaF 3*
11.
5934
1.59
341.
5860
1.60
391.
6039
1.59
6854
.77
18.2
64.
418
0.00
490.
6532
14.5
922
.34
83P
MA
BD
J48
203
12
CeF
3*1
1.60
501.
6050
1.59
851.
6183
1.61
831.
6113
53.1
417
.71
4.35
70.
0058
0.63
7413
.23
20.7
683
PM
AB
DJ
4820
31
2
PrF
3*1
1.60
771.
6077
1.60
171.
6207
1.62
071.
6146
51.9
417
.31
4.27
50.
0057
0.63
3613
.36
21.0
983
PM
AB
DJ
4820
31
2
NdF
3*1
1.60
741.
6074
1.60
161.
6191
1.61
911.
6132
51.3
517
.12
4.22
50.
0051
0.63
3914
.08
22.2
183
PM
AB
DJ
4820
31
2
TbF
3*1
1.59
311.
5768
1.55
101.
6034
1.58
681.
5603
49.6
416
.54
3.90
80.
0049
0.67
8214
.94
22.0
381
PR
BM
DO
2363
071
2
Com
plex
Flu
orid
esN
aCoF
3*IR
1.47
01.
470
1.47
059
.11
19.7
03.
937
73P
SS
AB
A16
419
34
NaN
iF3*
IR1.
442
1.44
21.
442
57.1
319
.04
3.60
973
PS
SA
BA
1641
93
4
KM
gF3*
11.
3975
1.39
751.
3975
1.40
301.
4030
1.40
3064
.00
21.3
33.
683
0.00
581.
0494
16.9
616
.16
75O
PS
UA
339
390
11
KM
gF3*
1.43
1.43
1.43
64.0
021
.33
3.94
767
JAP
IAU
3846
163
5
KM
nF3*
1.45
1.45
1.45
73.4
521
.33
4.71
267
JAP
IAU
3846
163
5
KM
nF3*
1F
L1.
4382
1.43
821.
4382
1.44
691.
4469
1.44
6973
.45
24.4
84.
605
0.00
750.
9360
14.1
715
.14
75O
PS
UA
339
390
11
KM
nF3*
FL
1.43
91.
439
1.43
973
.45
24.4
84.
612
72O
PS
UA
333
973
4
KC
oF3*
1.50
01.
500
1.50
067
.32
22.4
44.
727
72O
PS
UA
333
973
4
KC
oF3*
1.50
1.50
1.50
67.3
222
.44
4.72
767
JAP
IAU
3846
163
5
KN
iF3*
11.
4827
1.48
271.
4827
1.49
291.
4929
1.49
2964
.67
21.5
64.
407
0.00
710.
8344
13.6
916
.41
84S
PH
JAR
5913
166
1934934 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—
Con
tinue
d
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
KN
iF3*
1.52
1.52
1.52
64.6
721
.56
4.69
467
JAP
IAU
3846
163
5
KZ
nF3*
1.53
1.53
1.53
66.6
822
.22
4.91
767
JAP
IAU
3846
163
5
RbM
nF3*
11.
4745
1.47
451.
4745
1.48
371.
4837
1.48
3776
.20
25.4
05.
117
0.00
660.
8516
14.3
216
.81
84S
PH
JAR
5913
166
1
RbM
nF3*
1.59
1.59
1.59
76.2
025
.40
6.13
967
JAP
IAU
3846
163
5
CsN
iF3*
11.
4681
1.46
811.
4983
1.47
841.
4784
1.51
0287
.98
29.3
35.
947
0.00
770.
8447
13.2
615
.70
82P
RB
MD
O25
6474
11
BaL
iF3*
1.50
1.50
1.50
63.6
621
.22
4.47
089
JCO
ME
L1
5613
34
LiY
F4*
11.
4464
1.44
641.
4684
1.45
361.
4536
1.47
6375
.67
18.9
24.
890
0.00
590.
8988
15.5
517
.30
75A
PO
PA
I14
2056
11
LiT
bF4*
11.
4648
1.46
481.
4934
1.47
351.
4735
1.50
2973
.33
18.3
34.
923
0.00
660.
8529
14.4
016
.89
78JA
PIA
U49
3464
51
NaB
F 4*1
1.29
731.
3035
1.29
711.
3009
1.30
711.
3006
72.8
918
.22
3.24
70.
0067
1.45
3218
.64
12.8
286
ZE
KR
DZ
174
313
11
KB
F4*
1av
ogad
roite
~syn
thet
ic!1.
3193
1.31
971.
3200
1.32
431.
3248
1.31
1383
.42
20.8
53.
947
0.00
821.
3706
16.3
611
.94
38R
ef.
10C
481
2
BaM
gF4*
1F
E1.
4660
1.44
111.
4585
1.47
241.
4490
1.46
5786
.93
21.7
35.
633
0.00
570.
8953
15.7
917
.64
77A
PH
YC
C14
403
11
BaM
gF4*
FE
1.46
51.
435
1.45
51.
471
1.44
71.
465
86.9
321
.73
5.59
50.
0075
0.90
3413
.85
15.3
375
JAP
IAU
4646
451
3?
BaZ
nF4*
1F
E1.
5107
1.48
711.
5037
1.52
141.
4967
1.51
4489
.38
22.3
56.
281
0.00
670.
7994
13.8
017
.27
75JA
PIA
U46
4645
12
Na 2
SbF
5*1.
441
1.46
31.
422
1.46
71.
476
1.43
512
3.63
24.7
37.
809
0.01
420.
9276
10.2
311
.078
JSS
CB
I23
187
55
Na 2
SiF
6m
alla
drite
1.30
901.
3090
1.30
531.
3124
1.31
241.
3088
114.
4419
.07
5.23
00.
0061
1.40
7819
.26
13.6
62R
ef.
1R
f14
31
2
Rb 2
SiF
6*1
1.34
841.
3484
1.34
841.
3534
1.35
341.
3534
150.
9425
.16
7.72
20.
0068
1.22
2116
.96
13.8
82IN
OM
AF
1857
02
2
Cs 2
SiF
6*1
1.37
931.
3793
1.37
931.
3847
1.38
471.
3847
177.
3729
.56
9.79
20.
0062
1.10
8116
.90
15.2
82IN
OM
AF
1857
02
2
Cs 2
SiF
6*1.
382
1.38
21.
382
1.39
11.
391
1.39
117
7.37
29.5
69.
854
0.00
981.
0985
13.3
912
.135
ZP
CB
AL
3129
22
3?
Na 3
Li3A
l 2F 1
2cr
yolit
hion
ite1.
3337
1.33
371.
3337
1.33
951.
3395
1.33
9522
2.82
18.5
710
.963
0.00
871.
2841
15.4
012
.062
Ref
.1
Rf
181
2
Na 2
GeF
6*1
1.33
111.
3311
1.32
521.
3376
1.33
761.
3317
121.
0120
.17
5.88
00.
0101
1.30
4714
.40
11.0
82IN
OM
AF
1857
02
2?
Rb 2
GeF
6*1
1.39
041.
3904
1.38
391.
3961
1.39
611.
3898
147.
1324
.52
8.29
30.
0064
1.07
8616
.47
15.2
82IN
OM
AF
1857
02
2
Cs 2
GeF
6*1
1.39
211.
3921
1.39
211.
3985
1.39
851.
3985
183.
5330
.59
10.4
360.
0068
1.06
6015
.80
14.8
82IN
OM
AF
1857
02
2
Cs 2
GeF
6*1.
417
1.41
71.
417
1.43
01.
430
1.43
018
3.53
30.5
911
.018
0.01
170.
9918
11.6
711
.735
ZP
CB
AL
3129
22
3?
LiC
aAl .9
9Cr .0
1F6*
11.
3869
1.38
691.
3854
1.39
231.
3923
1.39
0910
4.71
17.4
55.
877
0.00
611.
0845
16.9
115
.595
Ref
.13
599
11
BaY
2F 8*
11.
5149
1.52
661.
5063
1.52
351.
5356
1.51
4515
4.39
19.3
011
.131
0.00
530.
7707
15.2
819
.895
Ref
.13
600
11
MgS
iF6•
6H
2O
*1
FL
298
K1.
3372
1.33
721.
3532
1.34
401.
3440
1.36
0125
5.66
21.3
012
.880
0.00
971.
2470
14.3
411
.574
AC
PH
AA
15
12
MnS
iF6•
6H
2O*1
FL
223
K1.
3492
1.34
921.
3663
1.35
681.
3568
1.37
3826
5.60
22.1
313
.816
0.01
011.
1974
13.7
811
.562
Ref
.1
Rf
189
12
FeS
iF 6•6
H2O
*1F
L?1.
3556
1.35
561.
3780
1.36
381.
3638
1.38
4525
7.70
21.4
713
.681
0.00
971.
1667
13.8
911
.962
Ref
.1
Rf
589
12
NiS
iF6•
6H
2O*1
FL?
1.37
991.
3799
1.39
621.
3902
1.39
021.
4060
240.
6520
.05
13.4
740.
0112
1.08
8512
.45
11.4
74A
CP
HA
A1
51
2
CuS
iF6•
6H
2O*1
FL?
1.39
981.
3998
1.40
171.
4092
1.40
921.
4090
235.
1019
.62
13.6
190.
0089
1.04
0213
.66
13.1
62R
ef.
1R
f27
371
2
ZnS
iF6•
6H
2O*1
FL?
1.37
471.
3747
1.38
761.
3823
1.38
231.
3954
245.
3020
.44
13.5
330.
0089
1.10
9314
.14
12.7
62R
ef.
1R
f27
371
2
PbF
Cl*
mat
lock
ite~C
rom
ford
,D
erby
shire!
2.05
82.
058
1.94
42.
145
2.14
52.
006
61.0
030
.55
7.37
80.
0106
0.32
607.
0121
.50
62R
ef.
1R
f30
01
4
Chl
orid
esLi
Cl*
11.
6580
1.65
801.
6580
33.9
433
.94
2.98
476
JPC
RB
U5
329
11
NaC
l*1
halit
e1.
5260
1.52
601.
5260
1.54
431.
5443
1.54
4344
.86
44.8
63.
287
0.01
060.
7527
10.6
414
.14
62R
ef.
1R
f39
051
1
KC
l*1
sylv
ite1.
4732
1.47
321.
4732
1.48
981.
4898
1.48
9862
.31
62.3
14.
174
0.01
200.
8546
10.6
812
.50
62R
ef.
1R
f23
71
1
RbC
l*1
1.47
601.
4760
1.47
6071
.26
71.2
64.
798
76JP
CR
BU
532
91
1
CuC
l*1.
884
1.88
41.
884
1.97
31.
973
1.97
339
.72
39.7
24.
356
0.01
610.
3919
6.25
15.9
428
ZE
KR
DZ
6882
23
AgC
l*1
1.99
111.
9911
1.99
112.
0615
2.06
152.
0615
42.7
242
.72
5.06
90.
0103
0.33
737.
2421
.46
62R
ef.
1R
f27
491
2
TlC
l*2.
112
2.11
22.
112
2.24
92.
249
2.24
956
.72
56.7
27.
253
0.01
480.
2888
5.59
19.3
762
Ref
.1
Rf
121
4
SrC
l 2*1.
691
1.69
11.
691
84.9
042
.45
7.75
674
PS
SB
BD
6251
13
4
Sim
ple
Oxi
des
H2O
*1
ice
1.30
111.
3011
1.30
251.
3091
1.30
911.
3105
32.1
432
.14
1.44
20.
0146
1.44
0812
.57
8.72
62R
ef.
1R
f28
351
1
H2O
*1
ice
1.30
071.
3007
1.30
211.
3090
1.30
901.
3105
32.1
432
.14
1.44
00.
0152
1.44
2812
.31
8.53
62R
ef.
1R
f28
351
1
H2O
*w
ater
1.31
91.
319
1.31
91.
333
1.33
31.
333
0.02
251.
3536
9.80
7.24
91R
ef.
910
598
3935935REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Li2O
1.63
71.
637
1.63
724
.51
24.5
12.
100
84S
SC
OA
451
421
35
LiO
H*
1.44
911.
4491
1.44
081.
4639
1.46
391.
4518
27.4
427
.44
1.74
80.
0110
0.91
6011
.53
12.5
933
ZP
CB
AL
2065
21
Cu 2
Ocu
prite
film
2.54
2.54
2.54
38.9
138
.91
5.99
263
JCP
SA
639
1789
35
Cu 2
Ocu
prite
poly
xtal
2.55
2.55
2.55
38.9
138
.91
6.01
273
JPC
SA
W34
2201
35
Cu 2
Ocu
prite
poly
xtal
2.57
2.57
2.57
38.9
138
.91
6.05
166
PH
RVA
O14
180
33
5
Cu 2
Ocu
prite
2.27
2.27
2.27
2.67
2.67
2.67
38.9
138
.91
5.39
30.
0267
0.24
013.
7915
.80
62R
ef.
1R
f27
498
5
Cu 2
Ocu
prite
@pol
yxta
lrefl
ecta
nce
data#
2.68
2.68
2.68
2.88
2.88
2.88
38.9
138
.91
6.25
40.
0086
0.16
165.
4833
.90
79JJ
AP
A5
1810
438
5?
BeO
*1
1.70
501.
7050
1.72
011.
7184
1.71
841.
7342
13.7
913
.79
1.28
60.
0043
0.51
9713
.94
26.8
266
AM
MIA
Y51
141
11
MgO
*1
1.71
471.
7147
1.71
471.
7355
1.73
551.
7355
18.6
718
.67
1.75
00.
0064
0.51
5411
.35
22.0
252
JRN
BA
G49
249
11
Mg~
OH
! 21br
ucite
~Woo
dM
ine,
Lanc
aste
r,P
A!1.
5501
1.55
011.
5728
1.56
651.
5665
1.58
5340
.90
20.4
53.
146
0.00
790.
7014
11.9
417
.03
62R
ef.
1R
f69
71
2
CaO
*1
1.80
531.
8053
1.80
531.
8396
1.83
961.
8396
27.8
327
.83
2.85
40.
0080
0.44
269.
3821
.19
66JA
PIA
U37
2450
11
SrO
*1
1.82
771.
8277
1.82
771.
8710
1.87
101.
8710
33.1
633
.16
3.46
90.
0095
0.42
728.
4819
.85
66P
HR
VAO
143
595
11
BaO
*1
1.91
671.
9167
1.91
671.
9841
1.98
411.
9841
42.4
842
.48
4.77
90.
0116
0.37
407.
1719
.17
75JA
PIA
U46
443
11
MnO
*2.
112.
112.
1122
.00
22.0
02.
810
69S
SC
OA
47
977
35
MnO
*2.
222.
222.
2222
.00
22.0
02.
978
69S
SC
OA
47
109
35
MnO
@pol
yxta
lrefl
ecta
nce
data#
2.07
2.07
2.07
2.15
2.15
2.15
22.0
022
.00
2.74
50.
0099
0.30
507.
0223
.02
79JJ
AP
A5
1810
438
5
CoO
*2.
302.
302.
3019
.30
19.3
02.
711
65JA
PIA
U36
2446
35
NiO
*2.
392.
392.
3918
.21
18.2
12.
656
65JA
PIA
U36
2446
35
NiO
*2.
322.
322.
3218
.21
18.2
12.
581
59P
HR
VAO
114
1507
35
ZnO
*1
1.91
021.
9102
1.92
452.
0222
2.02
222.
0256
23.5
523
.55
2.64
60.
0159
0.36
906.
0916
.51
65JA
PIA
U36
1674
11
ZnO
*1.
901
1.90
11.
911
2.00
82.
008
2.02
323
.55
23.5
52.
624
0.01
850.
3808
5.74
15.0
854
ZA
PH
AX
625
71
3
ZnO
*1.
898
1.89
81.
914
2.00
42.
004
2.02
123
.55
23.5
52.
622
0.01
820.
3814
5.79
15.1
998
PR
BM
DO
5835
864
3
ZnO
@pol
yxta
lrefl
ecta
nce
data#
1.90
1.90
1.90
1.99
1.99
1.99
23.5
523
.55
2.61
60.
0152
0.38
136.
3316
.61
79JJ
AP
A5
1810
438
5
CdO
film
2.37
2.37
2.37
25.8
825
.88
3.74
560
ZE
PYA
A15
851
18
5
PbO
*re
dlit
harg
eF
L20
0K
2.53
52.
535
2.66
538
.35
38.3
55.
979
77JC
DT
BI
1977
1096
34
EuO
*1.
960
1.96
01.
960
34.0
034
.00
3.94
868
PK
OM
A3
880
14
EuO
*2.
302.
302.
3034
.00
34.0
04.
777
69JP
CS
AW
3014
033
7
B2O
3*~e
stim
ated
n`
valu
es!
1.63
51.
635
1.60
245
.26
15.0
93.
815
38A
JSC
AP
3514
32
5
B2O
3*~n
Dva
lues
!1.
648
1.64
81.
615
45.2
615
.09
3.87
838
AJS
CA
P35
143
25
Al 2
O3*
11.
7520
1.75
201.
7449
1.76
731.
7673
1.75
9842
.45
14.1
54.
127
0.00
420.
4851
13.5
327
.89
58JO
SA
AH
4862
91
1
Al 2
O3*
11.
7504
1.75
041.
7430
42.4
514
.15
4.12
094
JAP
IAU
7680
324
2
Al 2
O3*
1.79
1.79
1.76
42.4
514
.15
4.25
263
PR
VAA
H13
214
743
5
Al 0
.99F
e .01
OO
H*
1di
aspo
re~T
urke
y!1.
6881
1.70
701.
7325
1.70
281.
7233
1.75
0329
.51
14.7
52.
750
0.00
510.
5209
12.7
724
.51
97JO
BP
DE
1432
991
1
Sc 2
O3*
1~W
.Y
en!
1.95
361.
9536
1.95
361.
9943
1.99
431.
9943
59.6
419
.88
6.89
40.
0066
0.35
509.
2426
.03
01JO
AO
F8
317
41
1
Cr 2
O3*
2.49
02.
490
2.47
048
.10
16.0
37.
265
65P
HVA
AH
138
A53
03
4
Mn 2
O3
@pol
yxta
lrefl
ecta
nce
data#
2.81
2.81
2.81
2.62
2.62
2.62
52.1
517
.38
8.67
60.
1453
5.16
35.4
79JJ
AP
A5
1810
438
5?
Fe 1
.98F
e~2
1! .
02O
3*he
mat
ite~E
lba!
2.60
22.
602
2.44
63.
190
3.19
02.
912
50.3
216
.77
7.77
40.
0226
0.18
243.
5919
.68
62R
ef.
1R
f68
58
3
Fe 2
O3
@ave
rage
n,
poly
xtal
refle
ctan
ceda
ta#2.
502.
502.
503.
103.
103.
1050
.32
16.7
77.
645
0.02
550.
1898
3.45
18.1
779
JJA
PA
518
1043
85
FeO
OH
goet
hite
2.12
32.
209
2.22
02.
274
2.40
32.
409
34.6
517
.33
4.60
60.
0162
0.26
585.
1219
.28
62R
ef.
1R
f35
628
3
FeO
OH
lepi
docr
ocite
1.86
12.
011
2.19
41.
938
2.20
02.
515
37.3
418
.67
4.52
20.
0215
0.33
234.
9714
.96
19A
JSC
AP
4731
12
5
Y2O
3*1
1.89
151.
8915
1.89
151.
9311
1.93
111.
9311
74.5
024
.83
8.22
00.
0075
0.38
799.
1123
.50
68JJ
AP
A5
740
48
2
Y2O
3*1
1.89
621.
8962
1.89
621.
9294
1.92
941.
9294
74.5
024
.83
8.25
00.
0062
0.38
539.
9325
.78
91R
ef.
910
791
2?
Y2O
3*1
1.89
031.
8903
1.89
031.
9301
1.93
011.
9301
74.5
024
.83
8.21
20.
0075
0.38
869.
0923
.38
91R
ef.
910
791
2
Y2O
3*1
1.88
151.
8815
1.88
151.
9489
1.94
891.
9489
74.5
024
.83
8.15
40.
0126
0.39
377.
0717
.95
91R
ef.
910
791
2?936936 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Y2O
3*1.
884
1.88
41.
884
1.91
21.
912
1.91
274
.50
24.8
38.
171
0.00
530.
3921
10.8
427
.65
56A
NC
HA
M28
2023
23?
In2O
3fil
m2.
002.
002.
0064
.72
21.5
77.
725
86JA
PIA
U60
R12
33
5
As 2
O3*
1ar
seno
lite~
prob
ably
synt
hetic!
1.71
851.
7185
1.71
851.
7537
1.75
371.
7537
84.9
628
.32
7.99
80.
0105
0.51
198.
8517
.28
97JO
BP
DE
1432
991
1
As 2
O3*
arse
nolit
e1.
725
1.72
51.
725
1.75
51.
755
1.75
584
.96
28.3
28.
053
0.00
870.
5059
9.63
19.0
362
Ref
.1
Rf
2565
83?
Sb 2
O3*
1se
narm
ontit
e~A
lger
ia!
2.00
002.
0000
2.00
002.
0817
2.08
172.
0817
86.6
828
.89
10.3
470.
0116
0.33
346.
7820
.33
97JO
BP
DE
1432
991
1
Sb 2
O3*
sena
rmon
ite2.
032.
032.
032.
092.
092.
0986
.68
28.8
910
.551
0.00
800.
3209
8.03
25.0
262
Ref
.1
Rf
204
85?
Bi 2
O3*
alph
a2.
344
2.43
72.
530
2.57
22.
660
2.78
582
.60
27.5
312
.268
0.01
380.
2034
4.85
23.8
676
MR
BU
AC
1115
511
3
Bi 2
O3*
@IR
data
,no
tac
cura
te,
not
cubi
c#
2.0
2.0
2.0
82.6
027
.53
9.86
070
PS
SA
BA
2K
149
85
Bi 1
2SiO
20
*2.
370
2.37
02.
370
2.55
82.
558
2.55
851
4.80
25.7
474
.494
0.01
260.
2167
5.25
24.2
71JA
PIA
U42
493
14
Bi 1
2GeO
20*1
2.38
62.
386
2.38
62.
561
2.56
12.
561
521.
3026
.07
75.9
200.
0115
0.21
305.
4425
.583
JOS
AA
H73
495
86
Bi 1
2TiO
20*1
2.40
652.
4065
2.40
652.
5873
2.58
732.
5873
526.
5426
.33
77.3
010.
0115
0.20
875.
3925
.897
JNO
MF
V6
235
12
Bi 1
2TiO
20:G
a*1
2.40
052.
4005
2.40
052.
5945
2.59
452.
5945
526.
5426
.33
77.1
210.
0123
0.21
005.
2224
.896
JOB
PD
E13
908
12
Bi 1
2TiO
20*2.
419
2.41
92.
419
2.58
82.
588
2.58
852
6.54
26.3
377
.673
0.01
060.
2060
5.58
27.0
93P
SS
AB
A14
027
31
3
Bi 1
2Ga .
72B
i .28O
19.5
2.40
32.
403
2.40
32.
611
2.61
12.
611
526.
6026
.33
77.2
050.
0130
0.20
945.
0724
.296
JOB
PD
E13
908
14
Pr 2
O3*
cubi
c1.
881.
881.
881.
941.
941.
9486
.87
28.9
69.
497
0.01
190.
3947
7.28
18.4
473
JST
CA
M13
871
25?
Nd 2
O3*
cubi
cF
L29
3K
1.86
1.86
1.86
1.92
1.92
1.92
85.0
128
.34
9.14
30.
0126
0.40
857.
2117
.65
73JS
TC
AM
1387
12
5?
Nd 2
O3
hexa
gona
l
~n`
from
extr
apol
atio
nof
avs
at.
no.!
2.06
72.
067
2.06
776
.78
25.5
99.
563
01JO
AO
F8
317
48
3
Sm
2O
3m
onoc
linic
~n`
from
extr
apol
atio
nof
avs
.at
.no
.!
2.05
22.
052
2.05
274
.87
24.9
69.
240
01JO
AO
F8
317
48
3
Eu 2
O3*
1.90
11.
901
1.90
11.
969
1.96
91.
969
80.0
526
.68
8.89
80.
0121
0.38
257.
1118
.58
73JS
TC
AM
1387
12
5?
Eu 2
O3*
cubi
c
~n`
from
inte
rpol
atio
nof
n`
vsat
.no
.!
1.94
01.
940
1.94
080
.05
26.6
89.
163
01JO
AO
F8
317
48
3
Gd 1
.98N
d .02
O3*
@Sci
.M
at.
Cor
p
~ass
umen
y5n
z!#
2.02
12.
055
2.05
52.
065
2.10
22.
102
72.4
124
.13
8.89
00.
0062
0.31
519.
0128
.61
01JO
AO
F8
317
41
3
Gd 2
O3*
cubi
c1.
901.
901.
901.
961.
961.
9679
.01
26.3
48.
775
0.01
220.
3847
7.10
18.4
473
JST
CA
M13
871
25?
Gd 2
O3*
cubi
c
~n`
from
inte
rpol
atio
nof
n`
vsat
.no
.!
1.93
51.
935
1.93
579
.01
26.3
49.
011
01JO
AO
F8
317
48
3
Tb 2
O3*
1.90
1.90
1.90
1.96
1.96
1.96
77.1
925
.73
8.57
30.
0122
0.38
537.
0918
.41
73JS
TC
AM
1387
12
5?
Tb 2
O3*
~n`
from
inte
rpol
atio
nof
n`
vsat
.no
.!
1.93
51.
935
1.93
577
.19
25.7
38.
804
01JO
AO
F8
317
48
3
Dy 2
O3*
1~W
.Y
en!
1.93
321.
9332
1.93
321.
9757
1.97
571.
9757
75.8
625
.29
8.64
00.
0073
0.36
538.
9724
.54
01JO
AO
F8
317
41
1
Dy 2
O3*
1.89
51.
895
1.89
51.
963
1.96
31.
963
75.8
625
.29
8.39
30.
0123
0.38
587.
0918
.38
73JS
TC
AM
1387
12
4?
Ho 2
O3*
1.89
21.
892
1.89
21.
960
1.96
01.
960
74.5
724
.86
8.23
10.
0124
0.38
757.
0818
.27
73JS
TC
AM
1387
12
4?
Ho 2
O3*
~n`
from
inte
rpol
atio
nof
n`
vsat
.no
.!1.
928
1.92
81.
928
74.5
724
.86
8.46
101
JOA
OF
83
174
84
Er 2
O3*
~n`
from
inte
rpol
atio
nof
n`
vsat
.no
.!1.
923
1.92
31.
923
73.3
324
.44
8.28
901
JOA
OF
83
174
83
Er 2
O3*
1.93
01.
930
1.93
01.
959
1.95
91.
959
73.3
324
.44
8.33
30.
0050
0.36
6810
.82
29.5
156
AN
CH
AM
2820
232
3
Er 2
O3*
1.88
81.
888
1.88
81.
956
1.95
61.
956
73.3
324
.44
8.06
80.
0125
0.38
987.
0718
.14
73JS
TC
AM
1387
12
3?
Er 2
O3*
1.95
1.95
1.95
73.3
324
.44
8.45
587
SP
SS
A7
2919
044
5
Tm
2O
3*1.
882
1.88
21.
882
1.95
01.
950
1.95
072
.07
24.0
27.
892
0.01
260.
3933
7.05
17.9
373
JST
CA
M13
871
23?
Tm
2O
3*~n
`fr
omin
terp
olat
ion
ofn
`vs
at.
no.!
1.91
81.
918
1.91
872
.07
24.0
28.
116
01JO
AO
F8
317
48
3
Yb 2
O3*
11.
9088
1.90
881.
9088
1.94
681.
9468
1.94
6870
.98
23.6
67.
937
0.00
690.
3782
9.38
24.8
197
JOB
PD
E14
3299
11
Yb 2
O3*
1~W
.Y
en!
1.90
961.
9096
1.90
961.
9470
1.94
701.
9470
70.9
823
.66
7.94
20.
0068
0.37
789.
4424
.98
01JO
AO
F8
317
41
1 937937REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Yb
2O
3*1.
879
1.87
91.
879
1.94
21.
942
1.94
270
.98
23.6
67.
754
0.01
190.
3953
7.27
18.4
173
JST
CA
M13
871
23?
Lu2O
3*1
~W.
Yen
!1.
8997
1.89
971.
8997
1.93
491.
9349
1.93
4970
.10
23.3
77.
784
0.00
660.
3833
9.67
25.2
301
JOA
OF
83
174
11
Lu2O
3*1.
867
1.86
71.
867
1.93
01.
930
1.93
070
.10
23.3
77.
583
0.01
230.
4024
7.24
17.9
973
JST
CA
M13
871
23?
SiO
2*1
1.53
241.
5324
1.54
111.
5435
1.54
351.
5526
37.6
618
.83
2.80
00.
0063
0.73
6913
.62
18.4
978
Ref
.7
7-82
11
SiO
2*1
smok
yqu
artz
1.53
061.
5306
1.53
931.
5439
1.54
391.
5530
37.6
618
.83
2.79
30.
0076
0.73
9912
.47
16.8
697
NJM
IAK
1125
91
1?
SiO
2*1
amet
hyst
~Zam
bia!
1.53
301.
5330
1.54
181.
5444
1.54
441.
5535
37.6
618
.83
2.80
30.
0065
0.73
5913
.45
18.2
897
JOB
PD
E14
3299
11
SiO
2*1
amet
hyst
~Par
a,B
razi
l!1.
5330
1.53
301.
5415
1.54
441.
5444
1.55
3337
.66
18.8
32.
803
0.00
650.
7360
13.4
618
.28
97JO
BP
DE
1432
991
1
SiO
2*1
~G.
Ros
sman
,X
-O!1.
5327
1.53
271.
5412
1.54
411.
5441
1.55
3137
.66
18.8
32.
801
0.00
650.
7364
13.4
518
.26
97JO
BP
DE
1432
991
1
SiO
2*1
~G.
Ros
sman
,X
-13!
1.53
261.
5326
1.54
131.
5441
1.54
411.
5531
37.6
618
.83
2.80
10.
0065
0.73
6513
.41
18.2
197
JOB
PD
E14
3299
11
SiO
2*1
~A.
Bal
lman
!1.
5328
1.53
281.
5416
1.54
421.
5442
1.55
3337
.66
18.8
32.
802
0.00
650.
7362
13.4
518
.27
97JO
BP
DE
1432
991
1
SiO
2*1
~G.
Ros
sman
,X
-488
-3!1.
5327
1.53
271.
5416
1.54
411.
5441
1.55
3337
.66
18.8
32.
802
0.00
650.
7363
13.4
418
.26
97JO
BP
DE
1432
991
1
SiO
2*1
smok
yqu
artz
1.53
311.
5331
1.54
171.
5443
1.54
431.
5534
37.6
618
.83
2.80
30.
0064
0.73
5813
.52
18.3
797
JOB
PD
E14
3299
11
SiO
2*1.
535
1.53
51.
544
37.6
618
.83
2.81
261
PH
RVA
O12
113
243
3
GeO
2*1
1.92
501.
9250
2.01
381.
9577
1.95
772.
0454
27.6
213
.81
3.19
50.
0054
0.35
5510
.30
28.9
700
Ref
.14
11
GeO
2*te
trag
onal
1.92
71.
927
2.01
81.
960
1.96
02.
048
27.6
213
.81
3.20
10.
0052
0.35
4010
.40
29.3
782
MR
BU
AC
1713
131
3
GeO
2*te
trag
onal
2.02
2.02
2.10
27.6
213
.81
3.39
772
JPC
SA
W33
293
37
TiO
2*1
rutil
e~s
ynth
etic
?!2.
4252
2.42
522.
6666
2.61
902.
6190
2.90
3131
.21
15.6
14.
751
0.01
130.
1911
5.21
27.2
565
JAP
IAU
3616
741
1
TiO
2*1
rutil
e~s
ynth
etic
?!2.
4096
2.40
962.
6515
2.60
982.
6098
2.89
7631
.21
15.6
14.
725
0.01
190.
1940
5.11
26.3
597
JAP
IAU
8299
48
1
TiO
2*ru
tile
min
eral
2.42
22.
422
2.66
62.
613
2.61
32.
900
31.2
115
.61
4.74
70.
0111
0.19
155.
2427
.37
28Z
EK
RD
Z67
485
13
TiO
2*2.
382.
382.
632.
652.
652.
9331
.21
15.6
14.
680
0.01
520.
1987
4.57
23.0
097
OP
LED
P22
1808
45?
TiO
2*@a
vera
gen
,po
lyxt
alre
flect
ance
data#
2.41
2.41
2.41
2.54
2.54
2.54
31.2
115
.61
4.58
80.
0084
0.20
706.
2730
.29
79JJ
AP
A5
1810
438
5?
TiO
2*br
ooki
te,
brow
n2.
411
2.42
22.
504
2.58
52.
584
2.70
232
.30
16.1
04.
813
0.01
070.
2010
5.49
27.2
928
ZE
KR
DZ
6748
51
3
TiO
2*1
anat
ase,
yello
w~B
inne
ntal!
2.38
522.
3852
2.33
862.
5621
2.56
212.
4889
34.0
717
.03
4.92
90.
0114
0.21
685.
5225
.46
28Z
EK
RD
Z67
485
11
TiO
2*an
atas
e~B
inne
ntal!
2.37
812.
3781
2.33
302.
5621
2.56
212.
4891
34.0
717
.03
4.91
60.
0119
0.21
825.
4224
.82
16N
JGA
AY
4134
21
1
TiO
2*an
atas
e~B
inne
ntal!
2.37
402.
3740
2.32
942.
5608
2.56
082.
4879
34.0
717
.03
4.90
80.
0121
0.21
915.
3724
.53
08Z
EK
RD
Z44
313
11
TeO
2*1
FL
9K
BA
R2.
1614
2.16
142.
3024
2.27
302.
2730
2.42
8843
.85
21.9
35.
902
0.01
080.
2591
6.20
23.9
490
ZP
SB
AX
5179
01
1
TeO
2*1
FL
9K
BA
R2.
1690
2.16
902.
3070
2.27
532.
2753
2.43
1043
.85
21.9
35.
921
0.01
030.
2571
6.32
24.6
071
PLR
BA
Q4
3736
12
TeO
2*F
L9
KB
AR
2.27
2.27
2.43
43.8
521
.93
6.22
373
PLR
BA
Q8
768
83
SnO
21ca
ssite
rite~
Ara
ca,
Bol
ivia!
1.94
621.
9462
2.04
712.
0004
2.00
042.
0971
35.7
717
.87
4.21
20.
0081
0.34
368.
2223
.93
62R
ef.
1R
f35
01
1
SnO
2*1
cass
iterit
e~sy
nthe
tic!
1.94
421.
9442
2.04
491.
9982
1.99
822.
0942
35.7
717
.87
4.20
60.
0081
0.34
468.
2423
.92
62R
ef.
1R
f28
101
1
SnO
2*1
cass
iterit
e~sy
nthe
tic!
1.93
191.
9319
2.02
981.
9871
1.98
712.
0817
35.7
717
.87
4.16
70.
0086
0.35
088.
0823
.04
76JC
RG
AE
3225
91
1
SnO
2*1.
945
1.94
52.
043
35.7
717
.87
4.20
668
JAP
IAU
3937
623
4
ZrO
2*cu
bic
2.25
62.
256
2.25
634
.97
17.4
84.
816
86JA
CTA
W69
277
83
Zr .8
69Y
.131
O1.
934
*1
2.10
822.
1082
2.10
822.
1581
2.15
812.
1581
33.8
617
.51
4.32
10.
0059
0.29
038.
8930
.64
82A
PO
PA
I21
2978
11
Zr .6
71Y
.329
O1.
835
*1
2.01
802.
0180
2.01
802.
0691
2.06
912.
0691
34.4
618
.78
4.16
20.
0072
0.32
558.
5026
.13
90A
PO
PA
I29
2485
11
Zr .8
94Y
.095
Hf .0
11O
1.95
*1
2.11
932.
1193
2.11
932.
1698
2.16
982.
1698
33.9
817
.42
4.36
30.
0058
0.28
638.
9131
.14
97JO
BP
DE
1432
991
1
Hf .9
04Y
.096
O1.
952
*1
2.06
902.
0690
2.06
902.
1109
2.11
092.
1109
33.6
417
.23
4.19
50.
0053
0.30
479.
5631
.38
90A
PO
PA
I29
604
11
Hf .8
5Y.1
5O1.
925
*1
2.04
862.
0486
2.04
862.
0881
2.08
812.
0881
33.9
017
.61
4.17
50.
0053
0.31
289.
7431
.14
77IN
OM
AF
1317
471
2
CeO
2*2.
362.
362.
3639
.61
19.8
15.
708
87S
PS
SA
729
1904
45
CeO
2*2.
312.
312.
3139
.61
19.8
15.
589
82P
SS
BB
D11
418
93
5
ThO
2*1
~syn
thet
ic!2.
0679
2.06
792.
0679
2.11
132.
1113
2.11
1343
.90
21.9
55.
471
0.00
560.
3052
9.37
30.7
097
JOB
PD
E14
3299
11
ThO
2*~s
ynth
etic
,N
orto
nR
efra
ctor
ies
!2.
070
2.07
02.
070
2.10
52.
105
2.10
543
.90
21.9
55.
478
0.00
440.
3043
10.4
934
.46
64O
PA
CAT
1128
71
3
ThO
2*2.
072.
072.
0743
.90
21.9
55.
478
66P
HR
VAO
151
676
13?
ThO
2*2.
202.
202.
2043
.90
21.9
55.
884
66P
HR
VAO
151
676
37
938938 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
UO
2*cr
ysta
lline
FL
31K
2.12
2.12
2.12
2.39
2.39
2.39
40.8
720
.43
5.25
00.
0264
0.28
764.
1714
.51
64JO
SA
AH
5426
58
5
UO
2fil
mF
L31
K2.
162.
162.
162.
402.
402.
4040
.87
20.4
35.
366
0.02
100.
2715
4.54
16.7
459
JOS
AA
H49
1107
85
UO
2*F
L31
K2.
302.
302.
3040
.87
20.4
35.
742
66P
HR
VAO
151
676
85
UO
2*F
L31
K2.
352.
352.
3540
.87
20.4
35.
866
66P
HR
VAO
151
676
37
V2O
5*2.
071.
972.
1289
.52
17.9
011
.057
66JP
CS
AW
2712
378
5
V2O
5*2.
201.
982.
292.
892.
102.
5589
.52
17.9
011
.732
0.02
640.
2796
4.12
14.7
355
JAC
TAW
3830
62
5
Ber
ylla
tes
BeA
l 2O
4*1
chry
sobe
ryl
1.72
541.
7270
1.73
251.
7397
1.74
171.
7473
56.9
914
.25
5.42
10.
0043
0.50
3313
.61
27.0
580
IEJQ
A7
QE
-16
1302
11
BeA
l 2O
4*1
chry
sobe
ryl
1.72
911.
7309
1.73
541.
7442
1.74
691.
7528
56.9
914
.25
5.44
10.
0047
0.50
0212
.98
25.9
462
Ref
.1
Rf
1838
11
La2B
e 2O
5*1
1.94
901.
9820
2.01
801.
9897
2.02
432.
0629
102.
9020
.58
12.1
430.
0065
0.34
159.
1426
.776
JAP
IAU
4714
961
1
BeA
lSiO
4O
H1
eucl
ase
1.63
801.
6412
1.65
801.
6509
1.65
481.
6713
78.0
515
.61
6.76
10.
0051
0.58
5413
.58
23.2
062
Ref
.1
Rf
4106
11
Be 1
.00A
l .99S
i 1.0
0O4O
H*
1eu
clas
e
~San
Seb
asta
ode
Mar
anha
o,M
inas
Ger
ais
!
1.63
821.
6425
1.65
891.
6524
1.65
581.
6730
78.0
515
.61
6.76
80.
0053
0.58
4613
.28
22.7
197
JOB
PD
E14
3299
11
Be 1
.00A
l .99S
i 4O
H*
1eu
clas
e
~Dia
man
tina,
Min
asG
erai
s!
1.63
881.
6422
1.65
881.
6523
1.65
571.
6727
78.0
515
.61
6.76
80.
0052
0.58
4513
.42
22.9
697
JOB
PD
E14
3299
11
Be 3
Al 2
Si 6
O181
bery
l~no
indi
catio
nof
H 2O
cont
ent
orm
etho
dof
prep
arat
ion
!
1.56
501.
5650
1.55
891.
5774
1.57
741.
5708
338.
4018
.80
26.2
360.
0062
0.69
3113
.33
19.2
87R
ef.
530
51
2
Be 3
Al 2
Si 6
O181
bery
l,co
lorle
ss
~San
taR
ita,
Min
asG
erai
s!
1.55
621.
5562
1.55
201.
5684
1.56
841.
5640
338.
4018
.80
25.9
220.
0064
0.70
5613
.27
18.8
62R
ef.
1R
f42
41
1
Be 3
Al 2
Si 6
O181
bery
l,lig
ht-b
lue
~Kle
inS
pitz
kopj
e,S
WA
fric
a!
1.55
911.
5591
1.55
451.
5715
1.57
151.
5667
338.
4018
.80
26.0
290.
0064
0.70
1213
.25
18.8
62R
ef.
1R
f42
41
1
Be 3
Al 2
Si 6
O181
bery
l,em
eral
d,
light
-gre
en~C
olum
bia!
1.56
171.
5617
1.55
651.
5738
1.57
381.
5684
338.
4018
.80
26.1
210.
0062
0.69
7613
.39
19.2
34N
JGA
AY
6840
11
1
BeS
O 4•4
H2O
*11.
4585
1.45
851.
4233
1.47
131.
4713
1.43
2817
0.86
21.3
610
.894
0.00
950.
9164
12.4
113
.578
AP
PLA
B33
413
11
NaB
eSi 3O
7O
H1
eudi
dym
ite1.
5380
1.53
831.
5424
1.54
571.
5461
1.55
1215
8.02
19.7
511
.828
0.00
460.
7298
15.9
921
.962
Ref
.1
Rf
2537
11
NaB
e 4S
bO71
swed
enbo
rgite
1.75
501.
7550
1.75
271.
7732
1.77
321.
7704
113.
4616
.21
11.0
820.
0050
0.48
1412
.47
25.9
24Z
EK
RD
Z60
262
11
Ba .
98C
a .02
Be 2
Si 2
O7*
1ba
rylit
e
~Lan
gban
,S
wed
en!
1.66
191.
6659
1.68
201.
6921
1.69
771.
7029
134.
3719
.20
11.9
820.
0096
0.55
929.
6317
.262
Ref
.1
Rf
743
11
Bor
ates
BO
~OH
!*5
HB
O2
I
~est
imat
edn
`va
lues
!
1.61
1.61
1.61
29.2
214
.61
2.41
938
AJS
CA
P35
143
24
BO
~OH
!*5
HB
O2
I~n
Dva
lues
!1.
619
1.61
91.
619
29.2
214
.61
2.44
738
AJS
CA
P35
143
23
B3O
4~O
H!•
H2O
* 5H
BO
2II
~est
imat
edn
`va
lues
!
1.42
1.56
1.57
35.4
817
.73
2.56
138
AJS
CA
P35
143
24
B3O
4~O
H!•
H2O
* 5H
BO
2(n
Dva
lues
!1.
434
1.57
01.
588
35.4
817
.73
2.61
938
AJS
CA
P35
143
24
B~O
H! 3*
5H
3B
O3
sass
olite
~est
imat
edn
`va
lues
!
1.33
1.44
1.45
68.5
222
.84
4.02
457
AM
MIA
Y42
562
5
B~O
H! 3*
5H
3B
O3
sass
olite
~nD
valu
es!
1.34
01.
457
1.45
968
.52
22.8
44.
128
57A
MM
IAY
4256
23
B~O
H! 3
*5
H3B
O3
sass
olite
~est
imat
edn
`va
lues
!
1.32
1.45
1.45
68.5
222
.84
4.02
438
AJS
CA
P35
143
025
B~O
H! 3*
5H
3B
O3
sass
olite
~nD
valu
es!
1.33
71.
461
1.46
268
.52
22.8
44.
140
38A
JSC
AP
3514
302
3
LiB
3O
5*1
1.56
251.
5889
1.60
261.
5752
1.60
231.
6172
80.0
916
.02
6.40
50.
0064
0.66
2412
.89
19.4
689
JOB
PD
E6
616
11
Li2B
4O
7*1
FE
863
K1.
5943
1.59
431.
5502
1.60
751.
6075
1.56
2011
5.47
16.4
99.
169
0.00
610.
6699
13.2
719
.885
JAP
ND
E24
251
1
CsB
3O
511.
5190
1.53
761.
5654
1.53
081.
5615
1.58
9212
1.37
24.2
79.
100
0.01
070.
7291
10.4
514
.393
AP
PLA
B62
2614
11?939939REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
CsB
3O
5*1
1.52
981.
5480
1.57
461.
5416
1.56
051.
5879
121.
3724
.27
9.24
20.
0067
0.71
2813
.06
18.3
00JJ
AP
A5
39L1
164
11
CsL
iB6O
10*1
1.48
251.
4825
1.43
231.
4943
1.49
431.
4421
246.
1024
.61
16.2
650.
0084
0.87
3512
.93
14.8
98JC
RG
AE
191
492
11
Zn 4
O~B
O2! 6*
11.
7257
1.72
571.
7257
1.74
641.
7464
1.74
6420
9.08
16.0
819
.834
0.00
610.
5055
11.4
822
.782
ZE
KR
DZ
161
157
11
Be 2
BO
3~O
H! .
96F .
04*1
ham
berg
ite
~Ant
sira
be,
Tana
rive,
Mad
agas
car
!
1.54
351.
5759
1.61
431.
5546
1.58
861.
6285
66.0
616
.51
5.23
30.
0061
0.67
3413
.26
19.6
997
JOB
PD
E14
3299
11
Be 2
BO
3O
H*
1ha
mbe
rgite
1.54
341.
5760
1.61
481.
5545
1.58
851.
6288
66.0
616
.51
5.23
40.
0060
0.67
3213
.36
19.8
462
Ref
.1
Rf
2969
11
Be 2
BO
3O
H*
1ha
mbe
rgite
~Mad
agas
car!
1.54
331.
5764
1.61
471.
5542
1.58
851.
6284
66.0
616
.51
5.23
50.
0059
0.67
3113
.48
20.0
311
ZE
KR
DZ
4847
31
1
SrB
4O
7*1
1.72
101.
7222
1.72
471.
7340
1.73
531.
7377
100.
3514
.33
9.48
90.
0040
0.50
8314
.35
28.2
95O
MAT
ET
466
91
1?
PbB
4O
7*1
1.89
791.
9013
1.90
321.
9304
1.93
511.
9368
102.
4514
.64
11.3
860.
0062
0.38
279.
9425
.995
OM
ATE
T4
669
11
PbB
4O
7*1.
897
1.90
11.
902
1.93
01.
934
1.93
610
2.45
14.6
411
.379
0.00
620.
3829
9.95
25.9
97O
MAT
ET
818
51
4
BaB
2O
4-a
lpha
*1
1.65
61.
656
1.54
41.
676
1.67
61.
558
96.1
524
.01
8.04
90.
0072
0.62
3111
.76
18.8
883
ZE
KR
DZ
165
911
3
BaB
2O
4-a
lpha
*1
1.65
041.
6504
1.53
901.
6699
1.66
991.
5523
96.4
624
.11
8.01
80.
0073
0.63
0311
.73
18.6
187
JAP
IAU
6219
681
1
BiB
3O
6*1
piez
oele
ctric
1.74
731.
7724
1.90
251.
7806
1.81
111.
9518
111.
3418
.56
11.4
400.
0093
0.44
538.
7319
.699
SS
CO
A4
109
249
51
LiG
eBO
4*1
1.66
821.
6682
1.67
251.
6857
1.68
571.
6914
69.9
017
.47
6.23
10.
0063
0.55
9411
.89
21.2
501
CR
TE
DF
3611
91
1
Mg .
98F
e .02
AlB
O4*
1si
nhal
ite~R
atna
pura!
1.65
291.
6826
1.69
041.
6664
1.69
671.
7047
60.7
315
.18
5.44
90.
0049
0.55
3913
.48
24.3
497
JOB
PD
E14
3299
11
KN
bB2O
6*1.
759
1.73
11.
731
1.80
61.
777
1.77
713
2.10
22.0
312
.723
0.01
270.
4930
7.88
15.9
97O
MAT
ET
821
56
4
RbN
bB2O
6*1.
720
1.73
71.
756
1.75
81.
778
1.80
413
7.94
22.9
913
.249
0.01
170.
4952
8.24
16.6
97A
PO
PA
I36
8587
63
RbN
bB2O
6*1.
754
1.73
71.
719
1.80
21.
777
1.75
713
7.94
22.9
913
.235
0.01
170.
4962
8.25
16.6
97O
MAT
ET
821
56
3
Ca 4
YO
B3O
9*1.
6613
1.69
261.
7098
1.68
151.
7137
1.72
6822
3.79
22.3
920
.372
0.00
650.
5415
11.5
321
.200
CR
TE
DF
3513
611
1
Ca 4
GdO
B 3O
9*1
1.67
471.
6995
1.70
791.
6957
1.72
161.
7300
226.
2422
.62
20.7
380.
0071
0.53
5111
.00
20.5
97JO
BP
DE
1422
381
1
KB
e 2B
O3F 2*
1.47
11.
471
1.39
31.
479
1.47
91.
401
106.
0421
.21
6.73
80.
0068
0.92
6814
.78
15.9
96O
MAT
ET
510
58
3
Mg 3
BO
3F 3
fluob
orite
,lig
htbr
own
1.50
041.
5004
1.47
981.
5086
1.50
861.
4858
104.
0717
.34
7.22
70.
0050
0.81
3016
.07
19.7
62R
ef.
1R
f68
81
1
Mg 3
B7O
13C
l1bo
raci
teF
E53
8K1.
6553
1.65
531.
6553
1.67
131.
6713
1.67
1322
0.62
15.7
619
.334
0.00
590.
5747
12.4
621
.662
Ref
.1
Rf
250
12
Mg 3
B7O
13C
l1bo
raci
teF
E53
8K1.
6608
1.66
081.
6608
1.67
531.
6753
1.67
5322
0.62
15.7
619
.462
0.00
530.
5687
13.1
223
.062
Ref
.1
Rf
250
12
LaG
eBO 5*
1F
E80
5K
1.79
481.
7948
1.83
141.
8201
1.82
011.
8593
97.8
719
.57
10.0
520.
0062
0.44
1710
.70
24.2
191
PS
SA
BA
125
671
11
Y.9
9Nd .
01A
l 3B
4O
12*1
1.74
721.
7472
1.68
031.
7743
1.77
431.
7023
180.
6215
.05
17.1
190.
0075
0.50
7610
.40
20.4
90O
PC
OB
877
221
11
Gd .
99N
d .01
Al 3
B4O
12*1
1.77
321.
7732
1.70
051.
7886
1.78
861.
7122
181.
6915
.14
17.6
530.
0040
0.48
7114
.03
28.8
98C
HS
CB
U43
1973
11?
Na2
B 4O
5~O
H! 4•8
H2O
*1bo
rax
1.43
561.
4573
1.46
051.
4467
1.46
931.
4723
370.
9621
.82
23.8
510.
0093
0.90
5012
.46
13.7
62R
ef.
1R
f25
781
1
Na 2
B4O
5~O
H! 4•3
H2O
*1
tinca
lcon
ite~s
ynth
etic!
1.45
181.
4518
1.46
381.
4625
1.46
251.
4746
250.
1820
.84
16.2
290.
0085
0.89
3612
.98
14.5
00C
RT
ED
F35
1151
11
KB
5O6~
OH
! 4•2
H2O
*15
KB
5O8•
4H
2O1.
4745
1.42
381.
4121
1.48
631.
4336
1.42
1127
9.40
23.2
817
.468
0.00
880.
9437
13.1
213
.976
JOS
AA
H66
721
2
K2B
4O5~
OH
! 4•2
H2O
*11.
4528
1.45
561.
4690
1.46
321.
4658
1.47
9926
0.42
23.6
717
.000
0.00
810.
8859
13.1
914
.800
CR
TE
DF
3511
511
1
CaB
3O4~
OH
! 3•H
2O1
cole
man
iteF
E26
6K
1.57
341.
5792
1.60
021.
5861
1.59
191.
6139
140.
5617
.57
11.2
350.
0061
0.66
2613
.13
19.8
56N
JMM
AW
1956
265
11
Cs .4
4K.3
1Rb .
16N
a .03
Al 4
Be 4
B11
O25
~OH
! 41
rhod
izite
~Man
jaka
,M
adag
asca
r!
1.67
771.
6777
1.67
771.
6932
1.69
321.
6932
391.
7413
.50
35.2
490.
0054
0.55
1012
.83
23.2
62R
ef.
1R
f22
61
1
Alu
min
ates
LiA
lO2*
1ga
mm
a-te
trag
onal
1.60
481.
6048
1.58
841.
6223
1.62
231.
6038
42.0
221
.01
3.42
90.
0075
0.64
2111
.73
18.2
781
JCR
GA
E54
546
11
Y.9
9Nd .
01A
lO3*
1F
L?1.
9030
1.91
731.
9249
1.95
251.
9432
1.92
8550
.09
16.9
55.
628
0.00
480.
3749
11.2
129
.89
78JA
PA
IU49
4223
11
Y.9
9Nd .
01A
lO3*
1F
L?1.
9035
1.91
661.
9252
1.95
231.
9432
1.92
8550
.09
16.9
55.
628
0.00
480.
3749
11.2
329
.96
90A
PO
PA
I29
1281
11
YAlO
3*1
FL?
1.90
251.
9162
1.92
461.
9277
1.94
231.
9515
50.0
916
.95
5.62
60.
0047
0.37
5311
.26
30.0
273
AP
OP
AI
1294
11
1
LaA
lO3*
2.00
2.00
2.00
54.4
418
.15
6.49
894
JOB
PD
E11
2252
35
Mg 1
.02A
l 1.9
8Fe .
01O
4*1
spin
el,
purp
le
~Sri
Lank
a!
1.69
791.
6979
1.69
791.
7153
1.71
531.
7153
66.1
416
.53
6.08
90.
0056
0.53
1112
.27
23.1
097
JOB
PD
E14
3299
11940940 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Mg
1.00
Al 1
.98F
e .02
O4*
1sp
inel
,bl
ue-g
ray
~Sri
Lank
a!
1.69
911.
6991
1.69
911.
7164
1.71
641.
7164
66.1
416
.53
6.09
70.
0056
0.52
9912
.33
23.2
697
JOB
PD
E14
3299
11
Mg 1
.00A
l 1.9
9Fe .
02O
4*1
spin
el,
pink
~Tan
zani
a!
1.69
811.
6981
1.69
811.
7151
1.71
511.
7151
66.1
116
.53
6.08
70.
0055
0.53
0912
.44
23.4
397
JOB
PD
E14
3299
11
Mg 1
.00A
l 1.9
9Fe .
02O
4*1
spin
el,
pink
~Tan
zani
a!
1.69
761.
6976
1.69
761.
7146
1.71
461.
7146
66.1
116
.53
6.08
40.
0055
0.53
1412
.41
23.3
697
JOB
PD
E14
3299
11
Mg .
97A
l 2.0
1Fe .
01O
4*1
spin
el,
colo
rless
~unk
now
nso
urce!
1.69
741.
6974
1.69
741.
7142
1.71
421.
7142
66.1
116
.53
6.08
30.
0055
0.53
1612
.47
23.4
697
JOB
PD
E14
3299
11
Mg 1
.00A
l 2.0
0O4*
1sp
inel
,co
lorle
ss
~Uni
onC
arbi
de!
1.69
781.
6978
1.69
781.
7150
1.71
501.
7150
65.9
816
.49
6.07
30.
0056
0.53
1212
.32
23.1
997
JOB
PD
E14
3299
11
Mg.
98F
e .01
Al 2
.01O
4*1
spin
el~S
iber
ia!1.
7002
1.70
021.
7002
1.71
731.
7173
1.71
7366
.31
16.5
86.
120
0.00
550.
5288
12.4
123
.47
97JO
BP
DE
1432
991
1
MgA
l 2O
4*1
spin
el~L
inde
!1.
7008
1.70
081.
7008
1.71
791.
7179
1.71
7966
.00
16.5
06.
095
0.00
550.
5283
12.4
223
.51
78R
ef.
77-
106
11
MgA
l 2O
41sp
inel
,re
d~C
eylo
n!1.
6989
1.69
891.
6989
1.71
651.
7165
1.71
6566
.00
16.5
06.
082
0.00
570.
5301
12.2
323
.07
62R
ef.
1R
f24
41
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
7045
1.70
451.
7045
1.72
191.
7219
1.72
1966
.00
16.5
06.
120
0.00
550.
5249
12.3
223
.47
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
6985
1.69
851.
6985
1.71
541.
7154
1.71
5466
.00
16.5
06.
080
0.00
540.
5305
12.4
823
.53
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
7014
1.70
141.
7014
1.71
871.
7187
1.71
8766
.00
16.5
06.
099
0.00
550.
5277
12.3
423
.38
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
7010
1.70
101.
7010
1.71
791.
7179
1.71
7965
.93
16.5
06.
090
0.00
540.
5282
12.4
623
.59
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
7006
1.70
061.
7006
1.71
741.
7174
1.71
7466
.00
16.5
06.
094
0.00
540.
5285
12.5
023
.66
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,da
rk-r
ed~C
eylo
n!1.
6992
1.69
921.
6992
1.71
601.
7160
1.71
6066
.00
16.5
06.
084
0.00
540.
5299
12.5
023
.59
62R
ef.
1R
f26
71
1
MgA
l 2O
41sp
inel
,br
own~
Cey
lon!
1.69
941.
6994
1.69
941.
7161
1.71
611.
7161
66.0
016
.50
6.08
60.
0054
0.52
9712
.52
23.6
562
Ref
.1
Rf
155
11
MgA
l 2O
41sp
inel
,br
own~
Cey
lon!
1.69
971.
6997
1.69
971.
7167
1.71
671.
7167
66.0
016
.50
6.08
80.
0055
0.52
9412
.43
23.4
762
Ref
.1
Rf
155
11
MgA
l 2O
4*1
spin
el~0
.001
%C
o!1.
7108
1.71
081.
7108
1.72
741.
7274
1.72
7466
.00
16.5
06.
162
0.00
520.
5189
12.6
524
.37
62R
ef.
1R
f17
31
1
MgA
l 2O
4*1
spin
el~0
.1%
Co!
1.71
021.
7102
1.71
021.
7271
1.72
711.
7271
66.0
016
.50
6.15
80.
0053
0.51
9612
.51
24.0
962
Ref
.1
Rf
173
11
MgA
l 2O
4*1
spin
el~1
.15%
Co!
1.71
301.
7130
1.71
301.
7285
1.72
851.
7285
66.0
016
.50
6.17
70.
0048
0.51
7013
.11
25.3
662
Ref
.1
Rf
173
11?
MgA
l 2O
4*1
spin
el~S
chot
t!1.
6994
1.69
941.
6994
1.71
611.
7161
1.71
6166
.01
16.5
06.
087
0.00
540.
5297
12.5
423
.68
91R
ef.
988
31
1
MgA
l 2O
4*1
spin
el~K
odak
!1.
6977
1.69
771.
6977
1.71
541.
7154
1.71
5466
.01
16.5
06.
075
0.00
570.
5313
12.1
722
.91
91R
ef.
988
31
1
MgA
l 2O
4*1
spin
el~G
ener
alD
ynam
ics!
1.69
861.
6986
1.69
861.
7153
1.71
531.
7153
66.0
116
.50
6.08
10.
0054
0.53
0512
.50
23.5
791
Ref
.9
883
11
Mg .
41A
l 2.3
9O4*
1sp
inel
,co
lorle
ss
~A.
Mel
lor!
1.70
951.
7095
1.70
951.
7261
1.72
611.
7261
63.4
415
.86
5.91
50.
0052
0.52
0212
.65
24.3
397
JOB
PD
E14
3299
11
Mg .
41A
l 2.3
9O4*
1sp
inel
,da
rk-b
lue~
A!
1.71
071.
7107
1.71
071.
7269
1.72
691.
7269
63.6
615
.92
5.94
30.
0051
0.51
9012
.80
24.6
697
JOB
PD
E14
3299
11
Mg .
38A
l 2.4
1O4*
1sp
inel
,bl
ue~B
!1.
7086
1.70
861.
7086
1.72
511.
7251
1.72
5163
.71
15.9
35.
934
0.00
520.
5210
12.7
024
.38
97JO
BP
DE
1432
991
1
Mg .
348A
l 2.4
35O
4*1
spin
el1.
710
1.71
01.
710
1.72
71.
727
1.72
763
.35
15.8
35.
910
0.00
550.
5201
12.2
623
.58
61A
CE
LAZ
612
08
3
Mg .
66Z
n .34
Fe .
04A
l 1.9
6O4*
1sp
inel
,bl
ue
~Cey
lon!
1.72
821.
7282
1.72
821.
7465
1.74
651.
7465
66.0
216
.50
6.27
90.
0054
0.50
3312
.21
24.2
637
MN
LMB
B24
547
11
Zn .
92F
e .07
Mg .
01A
l 1.9
7Fe .
03O
4*1
gahn
ite
~Jos
,N
iger
ia!
1.77
251.
7725
1.77
251.
7944
1.79
441.
7944
66.4
016
.60
6.60
30.
0056
0.46
6711
.50
24.6
497
JOB
PD
E14
3299
11
Y3A
l 5O
12*1
1.81
131.
8113
1.81
131.
8352
1.83
521.
8352
216.
5018
.04
22.3
230.
0056
0.43
8411
.19
25.5
65JA
PIA
U36
1674
11
Y3A
l 5O
12*1
1.80
871.
8087
1.80
871.
8326
1.83
261.
8326
216.
5018
.04
22.2
710.
0056
0.44
0311
.18
25.4
86R
ef.
312
01
1
Y3A
l 5O
12*1
1.80
931.
8093
1.80
931.
8323
1.83
231.
8323
216.
5018
.04
22.2
830.
0054
0.43
9811
.39
25.9
89S
PH
CA
634
712
11
Y3A
l 5O
12*1
1.80
951.
8095
1.80
951.
8328
1.83
281.
8328
216.
5018
.04
22.2
870.
0054
0.43
9511
.39
25.9
97JO
BP
DE
1432
991
1
Y3A
l 5O
12*1
1.80
841.
8084
1.80
841.
8324
1.83
241.
8324
216.
5018
.04
22.2
650.
0057
0.44
0611
.12
25.2
81IN
OM
AF
1730
81
1
Dy 3
Al 5
O12*
11.
8363
1.83
631.
8363
1.86
131.
8613
1.86
1321
8.00
18.1
722
.980
0.00
550.
4216
11.0
826
.297
JOB
PD
E14
3299
11
Ho 3
Al 5
O12*
11.
8327
1.83
271.
8327
1.85
671.
8567
1.85
6721
6.80
18.0
722
.782
0.00
530.
4239
11.2
826
.697
JOB
PD
E14
3299
11
Er 3
Al 5
O12*
11.
8279
1.82
791.
8279
1.85
221.
8522
1.85
2221
5.00
17.9
222
.498
0.00
550.
4271
11.1
826
.181
INO
MA
F17
308
11
Lu3A
l 5O
12*1
1.81
841.
8184
1.81
841.
8423
1.84
231.
8423
211.
3017
.60
21.9
260.
0055
0.43
3511
.22
25.8
81IN
OM
AF
1730
81
1941941REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Y1.
5Er 1
.5A
l 5O
12
*1
1.81
981.
8198
1.81
981.
8432
1.84
321.
8432
215.
5017
.96
22.3
900.
0054
0.43
2611
.33
26.2
97JO
BP
DE
1432
991
1
Y2.
93N
d .07
Sc 2
Al 3
O12*
11.
8515
1.85
151.
8515
1.87
951.
8795
1.87
9523
0.90
19.2
424
.658
0.00
590.
4119
10.5
525
.697
JOB
PD
E14
3299
11
Gd 3
Sc 2
Al 3
O12*
1.87
1.87
1.87
1.90
1.90
1.90
238.
6019
.88
25.8
740.
0066
0.39
999.
8124
.573
JAP
IAU
4413
956
5?
CaY
AlO
4*1
1.87
671.
8767
1.89
901.
9077
1.90
771.
9290
78.8
819
.72
8.65
20.
0059
0.39
2210
.27
26.1
997
JOB
PD
E14
3299
11
CaY
AlO
4*1
1.87
571.
8757
1.89
781.
9068
1.90
681.
9280
78.8
819
.72
8.64
50.
0060
0.39
2910
.24
26.0
597
JOB
PD
E14
3299
11
CaN
dAlO
4*1
1.92
661.
9266
1.95
131.
9620
1.96
201.
9867
82.3
020
.57
9.38
50.
0061
0.36
469.
8026
.87
97JO
BP
DE
1432
991
1
SrL
aAlO
4*1
1.93
161.
9316
1.95
161.
9663
1.96
631.
9865
89.1
522
.29
10.1
920.
0059
0.36
289.
9027
.28
97JO
BP
DE
1432
991
1
SrL
aAlO
4*1.
921.
921.
951.
951.
951.
9789
.15
22.2
910
.130
0.00
390.
3646
12.2
533
.59
96P
SS
BB
D19
562
58
5?
SrL
aAl .7
5Ga .
25O
4*1.
921.
921.
941.
961.
961.
9990
.06
22.5
110
.208
0.00
730.
3694
8.97
24.2
796
PS
SB
BD
195
625
85
La.8N
d .2M
gAl 1
1O19*
1.77
11.
771
1.76
41.
791
1.79
11.
783
296.
4415
.60
29.3
690.
0052
0.46
9612
.04
25.6
83S
JQE
AF
1310
825
3
Gal
late
sLi
GaO
2*1
1.70
611.
7061
1.73
391.
7350
1.73
501.
7654
43.0
821
.54
4.04
20.
0090
0.51
509.
5718
.58
70JA
PIA
U41
3008
12
LiG
aO2*
1.70
51.
730
1.73
41.
735
1.76
31.
765
43.0
821
.54
4.07
50.
0092
0.50
809.
3918
.48
65A
PO
PA
I4
1036
53
LaG
aO3*
IRF
L2.
022.
022.
0258
.70
19.5
77.
099
94JO
BP
DE
1122
5203
5
NdG
aO3*
IRF
L2.
022.
022.
0257
.56
19.1
96.
962
94JO
BP
DE
1122
5203
5
CoG
a 2O
4*@I
R,
not
accu
rate#
2.00
2.00
2.00
72.5
018
.12
8.65
478
SP
SS
A7
2014
5103
5
Y3G
a 5O
12*1.
878
1.87
81.
878
1.91
91.
919
1.91
923
1.31
19.2
725
.247
0.00
800.
3960
8.90
22.4
87R
ef.
531
48
3?
Y3G
a 5O
12*1.
882
1.88
21.
882
1.91
61.
916
1.91
623
1.31
19.2
725
.328
0.00
650.
3933
9.83
24.9
74P
LRB
AQ
1097
11
3
Nd 3
.01G
a 4.9
9O12*
11.
9470
1.94
701.
9470
1.98
711.
9871
1.98
7124
4.70
20.3
928
.154
0.00
670.
3583
9.28
25.9
97JO
BP
DE
1432
991
1
Nd 3
Ga 5
O12*
11.
9476
1.94
761.
9476
1.98
721.
9872
1.98
7224
4.49
20.3
728
.142
0.00
660.
3580
9.33
26.0
84S
PH
CA
629
704
12
Sm
3.02
Ga 4
.98O
12*1
1.94
521.
9452
1.94
521.
9840
1.98
401.
9840
240.
5020
.02
27.6
340.
0065
0.35
929.
4326
.297
JOB
PD
E14
3299
11
Eu 3
.02G
a 4.9
8O12*
11.
9407
1.94
071.
9407
1.97
941.
9794
1.97
9423
8.80
19.9
027
.349
0.00
650.
3615
9.40
26.0
97JO
BP
DE
1432
991
1
Gd 3
Ga 5
O12*
11.
9328
1.93
281.
9328
1.96
981.
9698
1.96
9823
7.30
19.7
727
.020
0.00
640.
3655
9.59
26.2
87R
ef.
530
71
1
Gd 3
Ga 5
O12*
11.
9330
1.93
301.
9330
1.96
981.
9698
1.96
9823
7.30
19.7
727
.024
0.00
630.
3654
9.60
26.2
78K
RT
EA
W13
K10
11
Gd 3
Ga 5
O12*
11.
9326
1.93
261.
9326
1.96
931.
9693
1.96
9323
7.30
19.7
727
.016
0.00
630.
3656
9.62
26.3
89S
PH
CA
634
712
11
Gd 3
.03G
a 4.9
7O12*
11.
9332
1.93
321.
9332
1.96
991.
9699
1.96
9923
7.30
19.7
727
.028
0.00
630.
3653
9.62
26.3
97JO
BP
DE
1432
991
1
Gd 3
Ga 5
O12*
1~B
TL
!1.
9334
1.93
341.
9334
1.97
021.
9702
1.97
0223
7.30
19.7
727
.032
0.00
630.
3652
9.62
26.3
90A
PO
PA
I29
3704
11
Tb 3
.04G
a 4.9
6O12*
11.
9325
1.93
251.
9325
1.97
071.
9707
1.97
0723
5.40
19.6
126
.798
0.00
660.
3657
9.45
25.8
97JO
BP
DE
1432
991
1
Tb 3
.04G
a 4.9
6O12*
1~A
llied
Sig
nal!
1.93
351.
9335
1.93
351.
9710
1.97
101.
9710
235.
4019
.61
26.8
180.
0064
0.36
519.
5426
.197
JOB
PD
E14
3299
11
Tb 3
Ga 5
O12*
1.93
21.
932
1.93
21.
971
1.97
11.
971
235.
4019
.61
26.7
880.
0066
0.36
599.
4025
.694
PS
SB
BD
182
K91
63
Dy 3
.05G
a 4.9
5O12*
11.
9311
1.93
111.
9311
1.96
791.
9679
1.96
7923
3.80
19.4
826
.588
0.00
630.
3664
9.61
26.2
97JO
BP
DE
1432
991
1
Ho 3
.06G
a 4.9
4O12*
11.
9281
1.92
811.
9281
1.96
381.
9638
1.96
3823
2.40
19.3
726
.370
0.00
620.
3680
9.73
26.4
97JO
BP
DE
1432
991
1
Tm
3G
a 5O
12*1.
9187
1.91
871.
9187
1.95
821.
9582
1.95
8223
0.00
19.1
625
.915
0.00
700.
3729
9.24
24.7
82JC
RG
AE
5760
01
3?
Y3S
c 2G
a 3O
12*1
1.90
681.
9068
1.90
681.
9417
1.94
171.
9417
229.
8019
.15
25.6
580.
0064
0.37
949.
7525
.697
JOB
PD
E14
3299
11
Nd 3
Sc 2
Ga 3
O12*
11.
9300
1.93
001.
9300
1.96
711.
9671
1.96
7125
4.80
21.2
328
.953
0.00
640.
3670
9.57
26.0
84S
PH
CA
629
704
12
Sm
3S
c 2G
a 3O
12*1
1.94
101.
9410
1.94
101.
9797
1.97
971.
9797
252.
4021
.03
28.9
130.
0065
0.36
139.
4126
.097
JOB
PD
E14
3299
11
Gd 3
Sc 2
Ga 3
O12*
11.
9315
1.93
151.
9315
1.96
871.
9687
1.96
8724
8.10
20.6
728
.223
0.00
640.
3662
9.56
26.0
87R
ef.
530
81
1
La3Lu
2G
a 3O
12
*1
1.91
871.
9187
1.91
871.
9564
1.95
641.
9564
274.
4322
.87
30.9
210.
0067
0.37
299.
4425
.389
SP
HC
A6
3471
21
1
La2.
7Lu 2
.3G
a 3O
12*1
1.91
861.
9186
1.91
861.
9561
1.95
611.
9561
273.
4022
.78
30.8
020.
0067
0.37
309.
4725
.389
SP
HC
A6
3471
21
1
La1.
3GdL
u 2.7G
a 3O
12*1
1.92
001.
9200
1.92
001.
9575
1.95
751.
9575
270.
2022
.52
30.4
740.
0066
0.37
229.
4925
.489
SP
HC
A6
3471
21
1
Nd 3
Lu2G
a 3O
12*1
1.92
951.
9295
1.92
951.
9695
1.96
951.
9695
0.00
690.
3672
9.22
25.1
084
SP
HC
A6
2970
41
2
Y2.
545E
r .455
Ga 1
.977
Cr .0
23G
a 3O
12*1
1.90
971.
9097
1.90
971.
9444
1.94
441.
9444
0.00
630.
3778
9.78
25.8
989
SP
HC
A6
3471
21
1
Gd 2
.96N
d .04
Ga 4
.8A
l .2O
12*1.
929
1.92
91.
929
1.96
41.
964
1.96
423
6.67
19.7
226
.873
0.00
610.
3676
9.79
26.6
88JC
RG
AE
9217
13
Gd 2
.964
Nd .
036G
a 4A
lO12*
1.90
91.
909
1.90
91.
944
1.94
41.
944
234.
1619
.51
26.1
890.
0063
0.37
799.
8125
.988
JCR
GA
E92
171
3942942 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEO
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Gd 2
.286
Er .7
14G
a 1.9
76C
r .024
Ga 3
O12*
11.
9319
1.93
191.
9319
1.96
841.
9684
1.96
840.
0063
0.36
609.
6426
.34
89S
PH
CA
634
712
11
Nd 2
.7Y
b 2.3G
a 3O
12*1
1.93
291.
9329
1.93
291.
9722
1.97
221.
9722
265.
6022
.13
30.2
450.
0068
0.36
559.
3125
.484
SP
HC
A6
2970
41
2
LaE
r 3S
cGa 3
O12*
11.
9422
1.94
221.
9422
1.96
681.
9668
1.96
680.
0042
0.36
0711
.71
32.4
684
SP
HC
A6
2970
41
2?
La2.
37N
d .07
Pb .
01Lu
2.54
Cr .0
1Ga 3
O12*
11.
9188
1.91
881.
9188
1.95
611.
9561
1.95
6127
0.20
22.5
130
.446
0.00
660.
3729
9.49
25.4
97JO
BP
DE
1432
991
1
La2.
37N
d .07
Pb .
01Lu
2.54
Cr .0
1Ga 3
O12*
11.
9239
1.92
391.
9239
1.96
161.
9616
1.96
1627
0.20
22.5
130
.564
0.00
660.
3702
9.47
25.5
97JO
BP
DE
1432
991
1
SrL
aGa 3
O7*
11.
7947
1.79
471.
7831
1.82
871.
8287
1.81
8217
3.45
24.7
817
.551
0.00
840.
4531
9.30
20.5
96JO
BP
DE
1319
411
2
SrG
dGa 3
O7*
1.79
31.
793
1.81
01.
836
1.83
61.
842
167.
5023
.93
17.0
730.
0094
0.44
758.
7119
.491
JOB
PD
E8
1668
13?
BaL
aGa 3
O7*
1.84
51.
845
1.85
017
8.40
25.4
918
.973
84P
HB
CD
Q12
321
58
6
La3G
a 5S
iO14*
11.
8712
1.87
121.
8829
1.90
431.
9043
1.91
5729
3.48
20.9
631
.958
0.00
650.
3975
9.88
24.8
83P
SS
AB
A80
387
12
La3G
a 5G
eO14*
11.
8875
1.88
751.
9005
1.92
491.
9249
1.93
7729
6.91
21.2
132
.767
0.00
710.
3878
9.38
24.1
87S
PH
CA
632
236
11
La3G
a 5.5N
b .5O
14*1
1.91
221.
9122
1.93
971.
9543
1.95
431.
9846
299.
5621
.40
33.8
200.
0075
0.37
168.
8823
.887
SP
HC
A6
3223
61
1
La3G
a 5.5Ta
.5O
14*1
1.90
551.
9055
1.92
981.
9434
1.94
341.
9699
300.
1321
.43
33.6
860.
0069
0.37
589.
3124
.787
SP
HC
A6
3223
61
1
Fer
rites
MnF
e 2O
4*2.
182.
182.
1876
.74
19.1
810
.181
89P
SS
BB
D15
265
73
5
CoF
e 2O
42.
480
2.48
02.
480
73.9
818
.49
11.1
6178
SP
SS
A7
2014
513
5
ZnF
e 2O
4*2.
162.
162.
1674
.96
18.7
49.
841
89P
SS
BB
D15
265
73
5
Y3F
e 5O
12*1
~BT
L!
2.12
872.
1287
2.12
872.
3266
2.32
662.
3266
236.
9019
.74
30.5
780.
0197
0.28
324.
8016
.997
JOB
PD
E14
3299
12
Y3F
e 5O
12*2.
165
2.16
52.
165
2.48
52.
485
2.48
523
6.90
19.7
431
.184
0.02
710.
2711
4.00
14.7
65B
JAP
AJ
1647
51
3?
Y3F
e 5O
12*2.
152.
152.
152.
312.
312.
3123
6.90
19.7
430
.936
0.01
590.
2767
5.27
19.0
74P
LRB
AQ
1097
16
5
Y3F
e 5O
12
*fil
ms
2.17
2.17
2.17
2.34
2.34
2.34
236.
9019
.74
31.2
660.
0157
0.26
965.
2419
.473
AP
PLA
B23
702
75
Sili
cate
sB
e 2S
iO4*
1ph
enac
ite1.
6403
1.64
031.
6559
1.65
381.
6538
1.66
9661
.73
15.4
35.
346
0.00
520.
5857
13.4
322
.93
62R
ef.
1R
f26
881
1
Be 2
SiO
4*1
phen
acite
1.63
921.
6392
1.65
611.
6536
1.65
361.
6693
61.7
315
.43
5.34
10.
0054
0.58
6413
.22
22.5
462
Ref
.1
Rf
2903
11
Be 2
SiO
4*ph
enac
ite1.
661.
661.
6661
.73
15.4
35.
440
73P
SS
BB
D55
143
34
Mg 2
SiO
4*1
fors
terit
e~s
ynth
etic!
1.62
111.
6353
1.65
301.
6358
1.65
061.
6687
72.4
818
.12
6.20
70.
0060
0.59
6212
.61
21.1
428
AM
MIA
Y13
559
11
Mg 2
SiO
41~F
ayal!
,co
ntai
nsF
e?1.
6529
1.67
171.
6902
1.67
021.
6897
1.70
8672
.48
18.1
26.
476
0.00
630.
5577
11.9
221
.38
28A
MM
IAY
1355
91
1?
Mg 1
.80F
e .22
5Ni .0
1SiO
4*1
perid
ot
~San
Car
los,
AZ!
1.64
071.
6569
1.67
581.
6569
1.67
441.
6934
73.0
618
.27
6.42
20.
0063
0.57
2312
.08
21.1
197
JOB
DE
1432
991
1
Mg 2
SiO
4*fo
rste
rite
~syn
thet
ic!1.
651
1.63
11.
668
72.4
818
.12
6.31
173
PS
SB
BD
5567
73
3
Mn 1
.98S
i 1.0
0O4*
1te
phro
ite~s
ynth
etic!
1.75
451.
7803
1.79
371.
7809
1.80
921.
8219
81.3
320
.33
8.11
60.
0071
0.46
4410
.21
21.9
997
JOB
PD
E14
3299
11
Mn 2
SiO
4*te
phro
ite~s
ynth
etic!
1.73
91.
768
1.77
81.
774
1.80
61.
816
81.3
320
.33
8.00
30.
0098
0.47
588.
8218
.53
32A
MM
IAY
1713
52
3?
Mn 1
.85M
g .15
SiO
4*te
phro
ite~P
ajsb
erg!
1.73
71.
760
1.77
01.
761
1.78
71.
799
81.3
320
.33
7.95
50.
0072
0.48
0510
.35
21.5
362
Ref
.1
Rf
1236
13
Fe 2
SiO
4*1
faya
lite
~Obe
rhar
z!1.
7918
1.82
891.
8429
1.82
461.
8662
1.87
8277
.53
19.3
88.
065
0.00
790.
4320
9.34
21.6
362
Ref
.1
Rf
1390
11
Fe 1
.72M
n .09
Mg .
16C
a .03
Si .9
8Ti .0
2O4*
1fa
yalit
e
~Cud
dia
Mid
a,Is
ola
deP
ante
lleria
,It.!
1.77
081.
8006
1.80
851.
8031
1.83
681.
8447
77.5
319
.38
7.86
30.
0085
0.45
169.
2420
.47
09Z
EK
RD
Z46
138
11?
Fe 2
SiO
4*1
faya
lite
~syn
thet
ic-O
.K
opp,
C.
Fin
ch!
1.79
331.
8311
1.84
141.
8258
1.86
641.
8752
76.9
219
.23
8.00
70.
0076
0.43
159.
5122
.04
97JO
BP
DE
1432
991
1
Fe 2
SiO
4*1
faya
lite
~syn
thet
ic-O
.K
opp,
C.
Fin
ch!
1.79
241.
8306
1.84
101.
8253
1.86
601.
8748
76.9
219
.23
8.00
30.
0077
0.43
199.
4821
.96
97JO
BP
DE
1432
991
1
Fe 2
SiO
4*1
faya
lite
~8A
118C
2!1.
7923
1.83
061.
8411
1.82
531.
8660
1.87
4776
.92
19.2
38.
003
0.00
770.
4321
9.46
21.9
097
JOB
PD
E14
3299
11
Fe 2
SiO
4*1
faya
lite
~8C
218B
1!1.
7927
1.83
061.
8406
1.82
541.
8660
1.87
4976
.92
19.2
38.
002
0.00
770.
4318
9.50
21.9
997
JOB
PD
E14
3299
11
Zn 2
SiO
4-a
lpha
*1
will
emite
~Alte
nber
gne
arA
ache
n!
1.66
611.
6661
1.69
401.
6893
1.68
931.
7179
87.0
221
.75
7.80
90.
0081
0.55
3710
.48
18.9
323
ZE
KR
DZ
5846
01
1?
Zn 2
SiO
4w
illem
ite1.
6728
1.67
281.
7020
1.69
391.
6939
1.72
3087
.02
21.7
57.
874
0.00
710.
5464
11.0
820
.28
62R
ef.
1R
f28
831
1943943REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
CaM
nSiO
4*~s
ynth
etic!
1.65
701.
6851
1.69
741.
6861
1.71
171.
7217
89.0
622
.26
8.03
30.
0090
0.54
939.
8617
.94
32A
MM
IAY
1713
52
3?
Ca 1
.22F
e .40
Mn .
24M
g .14
SiO
4*1
mon
ticel
lite
~Gut
e-H
offn
ungs
hXtte
!1.
6554
1.68
261.
6857
1.67
441.
7043
1.70
950.
0074
0.55
4610
.93
19.7
162
Ref
.1
Rf
843
11
Ca .
82F
e 1.0
2Mg .
10Z
n .06
SiO
4*1
oliv
ine
~Cla
usth
aler
Silb
erhu¨ t
te!
1.67
431.
7090
1.71
891.
6957
1.73
391.
7431
87.6
021
.90
8.08
90.
0075
0.52
8910
.64
20.1
162
Ref
.1
Rf
1082
11
Sr 2
SiO
4*m
onoc
linic
~syn
thet
ic!F
L36
7K
1.70
21.
707
1.73
61.
727
1.73
21.
756
97.5
924
.40
9.15
30.
0072
0.51
5510
.72
20.8
022
AJS
CA
P4
331
23
Eu 2
SiO
4-b
eta*
mon
oclin
ic1.
813
1.81
71.
841
1.88
91.
896
1.91
497
.77
24.4
410
.193
0.01
620.
4300
6.52
15.1
771
PK
OM
A3
1437
63
CaM
n 1.6
9Fe .
24M
g .07
Be 3
Si 3
O12*
1tr
imer
ite
~Har
stig
sgru
be!
1.69
901.
7020
1.71
001.
7155
1.71
921.
7255
214.
6117
.88
19.8
820.
0053
0.52
5812
.60
23.9
60R
ef.
10D
871
11
ZrS
iO41
zirc
on,
colo
rless
~Cha
ntab
oon,
Tha
iland!
1.89
111.
8911
1.95
081.
9239
1.92
391.
9838
65.9
416
.49
7.38
60.
0060
0.37
7610
.04
26.6
062
Ref
.1
Rf
514
11
ZrS
iO41
zirc
on1.
8819
1.88
191.
9433
1.91
951.
9195
1.98
0365
.94
16.4
97.
337
0.00
690.
3823
9.40
24.5
962
Ref
.1
Rf
514
11?
ZrS
iO4*
1zi
rcon
,bl
ue~C
hant
aboo
n,
Tha
iland
!
1.89
421.
8942
1.95
191.
9255
1.92
551.
9843
65.9
416
.49
7.40
00.
0057
0.37
6210
.24
27.2
262
Ref
.1
Rf
595
11
ZrS
iO41
zirc
on~u
nkno
wn
sour
ce!1.
8898
1.88
981.
9463
1.92
541.
9254
1.97
9665
.94
16.4
97.
373
0.00
640.
3788
9.75
25.7
403
ZE
KR
DZ
3723
51
1?
ZrS
iO4
zirc
on1.
8948
1.89
481.
9527
1.92
621.
9262
1.98
4165
.94
16.4
97.
404
0.00
570.
3759
10.2
927
.37
10Z
EK
RD
Z47
11
1
Zr .9
9Hf .0
1SiO
4*1
zirc
on~N
iger
ia?!
1.89
391.
8939
1.95
191.
9256
1.92
561.
9847
65.3
216
.33
7.32
90.
0058
0.37
6410
.17
27.0
297
JOB
PD
E14
3299
11
ZrS
iO4*
zirc
on,
red-
brow
n
~Nor
thB
urge
ss,
Ont
ario!
1.90
81.
908
1.95
61.
936
1.93
61.
990
65.9
416
.49
7.45
90.
0054
0.37
0510
.51
28.3
762
Ref
.1
Rf
647
13
Al 2
SiO
5*1
kyan
ite1.
6984
1.70
531.
7114
1.71
301.
7221
1.72
8773
.29
14.6
56.
800
0.00
510.
5244
12.7
724
.35
62R
ef.
1R
f40
851
1
Al 2
SiO
5an
dalu
site
~Bra
zil!
1.61
971.
6257
1.62
931.
6327
1.63
871.
6439
85.5
417
.11
7.21
90.
0056
0.60
9713
.24
21.7
208
ZE
KR
DZ
4431
31
2
Al 2
SiO
51si
llim
anite
,pa
le-b
lue
~Mog
ok,
Upp
erB
urm
a!
1.64
261.
6443
1.66
131.
6581
1.65
931.
6785
82.9
216
.58
7.21
50.
0060
0.58
1312
.45
21.4
162
Ref
.1
Rf
1520
11
Al 2
SiO
51si
llim
anite
~Cey
lon!
1.64
081.
6425
1.66
101.
6563
1.65
771.
6766
82.9
216
.58
7.20
40.
0059
0.58
2812
.61
21.6
462
Ref
.1
Rf
4038
11
Al 2
SiO
5si
llim
anite
1.64
071.
6426
1.66
001.
6576
1.65
921.
6797
82.9
216
.58
7.20
10.
0067
0.58
3211
.81
20.2
662
Ref
.1
Rf
4085
11?
Y2S
iO5:N
d*1
1.76
291.
7655
1.78
511.
7865
1.78
941.
8104
106.
9021
.38
10.6
170.
0063
0.46
8010
.88
23.2
90IE
JQA
726
1405
51
Al 2
SiO
4F 2*
1to
paz~
Sch
neck
enst
ein!
1.60
351.
6063
1.61
311.
6153
1.61
791.
6248
85.8
414
.30
7.08
30.
0051
0.63
1214
.07
22.2
862
Ref
.1
Rf
4046
11
Al 2
SiO
4F 2*
1to
paz
1.61
911.
6217
1.63
031.
6293
1.63
081.
6379
85.8
414
.30
7.23
30.
0037
0.61
1016
.31
26.6
962
Ref
.1
Rf
4071
11?
Al 2
SiO
4F 2
topa
z1.
6009
1.60
361.
6104
1.61
201.
6146
1.62
1585
.84
14.3
07.
058
0.00
490.
6346
14.4
422
.75
62R
ef.
1R
f18
331
1
Al 2
SiO
4F 1
.89~
OH
! .11*1
topa
z1.
5998
1.60
311.
6094
1.61
121.
6142
1.62
0885
.84
14.3
07.
049
0.00
500.
6357
14.2
922
.48
97JO
BP
DE
1432
991
1
Al 2
SiO
4F 1
.89~
OH
! .11*1
topa
z1.
5992
1.60
231.
6096
1.61
071.
6136
1.62
0985
.84
14.3
07.
046
0.00
500.
6363
14.2
022
.32
97JO
BP
DE
1432
991
1
Bi 4
Si 3
O12*
11.
9674
1.96
741.
9674
2.02
932.
0293
2.02
9327
3.10
22.7
631
.881
0.00
960.
3483
7.62
21.8
72JA
PIA
U43
5110
11
Bi 4
Si 3
O12*
11.
9559
1.95
591.
9559
2.02
172.
0217
2.02
1727
3.10
22.7
631
.623
0.01
040.
3539
7.37
20.8
95O
PS
UA
379
868
62
CaB
SiO
4O
H*
1da
tolit
e~S
erra
deiZ
anch
etti!
1.61
091.
6377
1.65
441.
6246
1.65
271.
6694
88.5
917
.72
7.56
60.
0058
0.59
9012
.89
21.5
162
Ref
.1
Rf
2950
11
CaB
SiO
4O
H*
1da
tolit
e~W
estfi
eld,
MA!
1.61
211.
6383
1.65
501.
6253
1.65
301.
6697
88.5
917
.72
7.57
40.
0056
0.59
8113
.04
21.8
097
JOB
PD
E14
3299
11
Ca .
95M
g .05
B2S
i 2O
8*1
danb
urite
~Oki
ra,
Japa
n!
1.61
671.
6200
1.62
261.
6302
1.63
331.
6361
136.
3017
.04
11.4
270.
0056
0.61
5913
.23
21.4
62R
ef.
1R
f10
441
1
Ca 1
.00B
1.99
Al .0
1Si 2
.00O
8*1
danb
urite
~Cha
rcus
,M
exic
o!
1.61
661.
6192
1.62
271.
6299
1.63
271.
6361
136.
3317
.04
11.4
250.
0056
0.61
6213
.26
21.5
97JO
BP
DE
1432
991
1
Cu 6
Si 6O
18•6
H2O
1di
opta
se1.
6338
1.63
381.
6800
1.65
731.
6573
1.70
9147
6.77
19.8
641
.475
0.00
940.
5822
9.96
17.1
62R
ef.
1R
f62
11
1
Cu 6
Si 6O
18•6
H2O
1di
opta
se~K
irgen
step
pe!1.
6291
1.62
911.
6720
1.66
111.
6809
1.68
8647
6.77
19.8
641
.181
0.00
660.
5711
11.7
920
.662
Ref
.1
Rf
2889
11?
Pb 9
Mg 9
Si 9O
24~O
H! 2
4m
olyb
doph
yllit
e~L
angb
ansh
utta
n,Va
rmla
nd,
Sw
eden!
1.78
361.
7836
1.73
091.
8145
1.81
451.
7609
1043
.38
21.7
410
3.10
60.
0080
0.47
269.
7020
38R
ef.
10C
368
11?
Pb 3
Al 2
CaS
i 10O
27•3
H2O
*1w
icke
nbur
gite
~Wic
kenb
urg,
AZ!
1.65
501.
6550
1.61
831.
6911
1.69
111.
6478
635.
1721
.17
54.8
200.
0127
0.58
938.
6214
.668
AM
MIA
Y53
1433
22944944 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Be 3
.0A
l 1.9
6Cr .0
7Si 5
.96O
18*1
bery
l~sy
nthe
tic-C
hath
am!
1.55
261.
5526
1.54
871.
5650
1.56
501.
5610
338.
4118
.80
25.7
870.
0066
0.71
1013
.14
18.4
97JO
BP
DE
1432
991
1
Be 3
.0A
l 1.9
6Cr .0
7Si 5
.96O
18*1
bery
l~sy
nthe
tic-C
hath
am!
1.55
111.
5511
1.54
771.
5633
1.56
331.
5598
338.
4118
.80
25.7
360.
0065
0.71
3013
.26
18.6
97JO
BP
DE
1432
991
1
Na .
02B
e 3.0
4Al 1
.95F
e .02
Mg .
01S
i 5.9
9O18•
~.32
H2O
!*1
aqua
mar
ine
~Nur
ista
n,P
akis
tan!
1.56
331.
5633
1.55
811.
5757
1.57
571.
5703
337.
8718
.77
26.1
420.
0063
0.69
5213
.27
19.0
97JO
BP
DE
1432
991
1
Na .
04C
s .02B
e 3.0
6Al 1
.96F
e .02
Zn .
01S
i 5.9
7O18•
~.41
H2O
!*1
aqua
mar
ine
~Nur
ista
n,P
akis
tan!
1.56
501.
5650
1.55
971.
5775
1.57
751.
5721
337.
9018
.77
26.2
080.
0063
0.69
2713
.21
19.0
97JO
BP
DE
1432
991
1
Na .
04B
e 3.0
6Al 1
.93F
e .03
Mg .
02Z
n .01
Si 5
.97O
18•(.
49
H2O
!*1be
ryl,
gree
n~P
adre
Par
aiso
,M
inas
Ger
ais
!
1.56
611.
5661
1.56
071.
5784
1.57
841.
5730
338.
0918
.28
26.2
630.
0062
0.69
1113
.30
19.2
97JO
BP
DE
1432
991
1
Na .
04B
e 3.0
6Al 1
.93F
e .03
Mg .
02Z
n .01
Si 5
.97O
18•(.
49
H2O
!*1be
ryl,
gree
n~P
adre
Par
aiso
,M
inas
Ger
ais
!
1.56
651.
5665
1.56
091.
5788
1.57
881.
5732
338.
0918
.28
26.2
760.
0062
0.69
0513
.32
19.2
97JO
BP
DE
1432
991
1
Na .
03C
s .04B
e 3.0
5Al 1
.97
Fe .
01S
i 5.9
7O18•~.
46H
2O!*1
gosh
enite
~Hun
za,
Pak
ista
n!1.
5653
1.56
531.
5600
1.57
771.
5777
1.57
2233
7.88
18.7
726
.218
0.00
630.
6922
13.2
719
.197
JOB
PD
E14
3299
11
Na .
20C
s .14B
e 3.1
5Al 1
.90
Si 5
.90V
.01O
18•~.
88H
2O!*1
mor
gani
te~B
razi
l!1.
5794
1.57
941.
5722
1.59
231.
5923
1.58
4833
9.38
18.8
526
.850
0.00
620.
6725
13.1
919
.697
JOB
PD
E14
3299
11
Li.3
7Na .
24C
s .11M
g .04
Be 2
.58B
.06A
l 2.0
2Si 5
.94O
18. ~6
7H2O
!*1be
ryl,
Max
ize
~Min
asG
erai
s!1.
5792
1.57
921.
5720
1.59
201.
5920
1.58
4433
9.00
18.8
026
.812
0.00
620.
6729
13.2
219
.635
ZM
GP
AS
1935
371
1
Na .
04M
g 1.7
2Fe .
27A
l 3.9
7F
e .03*
Si 5
O18•~H
2O! .
49~C
O2! .
07*1
cord
ierit
e,bl
ue~M
adag
asca
r!1.
5227
1.52
851.
5312
1.53
581.
5413
1.54
4238
8.39
21.5
728
.527
0.00
750.
7501
12.6
216
.897
JOB
PD
E14
3299
11
Na .
03M
g 1.9
7Fe .
03A
l 3.9
7F
e .0
3*
Si 5
O18•~H
2O! .
41~C
O2! .
07*1
cord
ierit
e,co
lorle
ss~u
nkno
wn
sour
ce!1.
5193
1.52
311.
5263
1.53
181.
5357
1.53
8938
7.67
21.5
328
.267
0.00
750.
7580
12.7
516
.897
JOB
PD
E14
3299
11
Mg 2
.04F
e .53
Ca .
43M
n .02
Al 1
.96C
r .03F
e .01
Si 3
O12*
1py
rope
~Nor
thea
stA
Z!1.
7219
1.72
191.
7219
1.73
951.
7395
1.73
9519
1.88
15.9
918
.129
0.00
530.
5089
12.3
824
.397
JOB
PD
E14
3299
11
Mg 1
.95F
e .99
Ca .
09M
n .01
Al 1
.98S
i 3O
12*1
pyro
pe~M
adag
asca
r!1.
7342
1.73
421.
7342
1.75
251.
7525
1.75
2518
9.74
15.8
118
.159
0.00
530.
4982
12.2
224
.597
JOB
PD
E14
3299
11
Mg 1
.64F
e 1.1
7Ca .
19M
n .03
Al 2
Si 3
O12*
1py
rope
~Sri
Lank
a!1.
7489
1.74
891.
7489
1.76
781.
7678
1.76
7819
0.85
15.9
018
.542
0.00
530.
4857
12.1
525
.097
JOB
PD
E14
3299
11
Fe 1
.45M
g 1.1
8Ca .
20M
n .04
Al 2
Si 3
O12*
1al
man
dine
~Nor
thC
reek
,N
Y!1.
7536
1.75
361.
7536
1.77
351.
7735
1.77
3519
2.04
16.0
018
.746
0.00
550.
4819
11.8
624
.697
JOB
PD
E14
3299
11
Mg 1
.23F
e .90
Mn .
56C
a .33
Al 1
.98V
.02C
r .01Z
n .01
Si 3
O12*
1py
rope
~Tan
zani
a!1.
7511
1.75
111.
7511
1.77
061.
7706
1.77
0619
3.28
16.1
118
.819
0.00
540.
4839
11.9
624
.797
JOB
PD
E14
3299
11
Mg 3
Al 2
Si 3
O12*
pyro
pe1.
730
1.73
01.
730
1.74
91.
749
1.74
918
7.89
15.6
617
.904
0.00
550.
5013
12.0
624
.062
Ref
.1
Rf
138
13
Mn 2
.80F
e .17
Ca .
01A
l 2.0
3Si 3
O12*
1sp
essa
rtin
e~Ram
ona,
CA!
1.78
161.
7816
1.78
161.
8028
1.80
281.
8028
195.
7916
.32
19.6
400.
0054
0.45
9911
.70
25.4
97JO
BP
DE
1432
991
1
Mn 2
.16C
a .14
Fe .
512
(21
) Fe .
123
(31
) Al 2
.01S
i 2.9
8O12*
1sp
essa
rtin
e~Ken
ya!
1.77
941.
7794
1.77
941.
8018
1.80
181.
8018
195.
7716
.31
19.5
970.
0057
0.46
1611
.37
24.6
78A
FS
LAO
2927
51
1
Ca 2
.92M
n .04
Fe .
135A
l 2S
i 3O
12*1
gros
sula
r~Asb
esto
s,Q
uebe
c!1.
7208
1.72
081.
7208
1.73
831.
7383
1.73
8320
7.89
17.3
219
.619
0.00
530.
5099
12.4
024
.397
JOB
PD
E14
3299
11
Ca 2
.95A
l 1.9
7Mg .
04M
n .01
Ti .0
2Fe .
01S
i 2.99
O12*1
gros
sula
r~U
mba
Riv
er,
Tanz
ania!
1.72
321.
7232
1.72
321.
7414
1.74
141.
7414
208.
0417
.34
19.6
830.
0055
0.50
7712
.18
23.9
97JO
BP
DE
1432
991
1
Ca 2
.98M
n .01
Fe .
01A
l 1.9
7Fe .
02S
i 2.9
4O12*
1gr
ossu
lar~J
effr
eyQ
uarr
y,Q
uebe
c!1.
7169
1.71
691.
7169
1.73
391.
7339
1.73
3920
8.04
17.3
419
.552
0.00
520.
5135
12.5
424
.497
JOB
PD
E14
3299
11
Ca 2
.66M
g .20
Fe .
14A
l 1.8
4Fe .
16S
i 3O
12*1
gros
sula
r~Pas
sode
lTer
min
e!1.
7444
1.74
441.
7444
1.75
651.
7565
1.75
6520
6.97
17.2
520
.017
0.00
350.
4895
15.0
330
.762
Ref
.1
Rf
235
11?
Ca 3
.00F
e 1.9
9Mg .
02A
l .01S
i 2.9
8O12*
1de
man
toid
~Val
Mal
enco
!1.
8344
1.83
441.
8344
1.88
631.
8863
1.88
6321
9.40
18.2
823
.089
0.01
100.
4226
7.83
18.5
97JO
BP
DE
1432
991
1
Ca 2
.99F
e 2.0
0Mg .
02A
l .01S
i 2.9
8O12*
1de
man
toid
~Ala
Valle
y!1.
8347
1.83
471.
8347
1.88
671.
8867
1.88
6721
9.40
18.2
823
.095
0.01
110.
4226
7.81
18.4
97JO
BP
DE
1432
991
1
Ca 3
.00F
e 1.9
9Mg .
02A
l .01S
i 2.9
8O12*
1de
man
toid
~Val
Mal
enco
!1.
8319
1.83
191.
8319
1.88
551.
8855
1.88
5521
9.40
18.2
823
.039
0.01
150.
4245
7.68
18.1
97JO
BP
DE
1432
991
1
Ca 3
Fe 2
Si 3
O12
andr
adite
1.84
11.
841
1.84
11.
889
1.88
91.
889
219.
4018
.28
23.2
210.
0101
0.41
838.
1319
.462
Ref
.1
Rf
244
16
Ca 3
Mn 1
.95
(31
) Al 0
.04F
e 0.0
1~S
iO4! 2
.07~
O4H
4! 0
.93
*1
henr
iterm
ierit
e,n
data
from
O.
Med
enba
ch
1.75
941.
7594
1.81
981.
7967
1.79
671.
8726
232.
1919
.34
23.2
460.
0105
0.46
238.
4018
.100
Ref
.14
11
Li1.
00A
l .97S
i 2.0
2O6*
1sp
odum
ene~N
uris
tan,
Afg
hani
stan!
1.64
621.
6504
1.66
061.
6601
1.66
481.
6755
97.3
116
.22
8.49
80.
0054
0.57
8013
.08
22.6
397
JOB
PD
E14
3299
11
Li.9
5Na .
05A
lSi 2
O6*
1sp
odum
ene,
rose~
Mah
aritr
a,M
adag
asca
r!
1.64
541.
6509
1.66
001.
6602
1.66
511.
6759
97.3
116
.22
8.49
50.
0056
0.57
8312
.85
22.2
213
ZE
KR
DZ
1329
41
2
LiA
lSi 2
O6*
1sp
odum
ene,
colo
rless
1.64
541.
6510
1.65
971.
6602
1.66
491.
6756
97.3
116
.22
8.49
40.
0056
0.57
8412
.88
22.2
713
ZE
KR
DZ
1329
41
2
945945REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,ref
ract
ive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,mol
arvo
lum
e,Vm
,vo
lum
epe
rO
-at
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Li.9
5Na .
05A
l 0.9
5Fe .
05(31
) Si 2
O6*
spod
umen
e,gr
een~M
ahar
itra,
Mad
agas
car
!
1.65
411.
6580
1.66
661.
6684
1.67
131.
6809
97.3
116
.22
8.57
20.
0051
0.57
0113
.35
23.4
213
ZE
KR
DZ
1329
41
2?
LiA
lSi 2
O61
spod
umen
e,co
lorle
ss1.
6454
1.65
101.
6597
1.66
021.
6649
1.67
5697
.31
16.2
28.
494
0.00
560.
5784
12.8
822
.27
62R
ef.
1R
f29
661
2
LiA
lSi 2
O6*
1am
orph
ous
spod
umen
e
~Cor
ning
ES
Igl
ass!
1.50
521.
5052
1.50
521.
5176
1.51
761.
5176
129.
3721
.56
9.16
40.
0079
0.79
0112
.66
16.0
97JO
BP
DE
1432
991
1
Li0.
90N
a .10
Al 1
.0S
i 4O
10*pe
talit
e~K
arab
ib,
SW
Afr
ica!
1.49
71.
502
1.50
81.
507
1.51
21.
518
211.
2121
.12
14.8
890.
0067
0.79
6113
.83
17.3
46A
MM
IAY
3151
23
CaS
iO3*
pseu
dow
olla
ston
ite~s
ynth
etic!
1.59
41.
594
1.63
11.
610
1.61
01.
653
66.4
122
.14
5.47
00.
0078
0.63
3411
.38
17.9
622
AJS
CA
P4
331
23
BaS
iO3*
~syn
thet
ic!1.
654
1.65
41.
656
1.67
31.
674
1.67
879
.87
26.6
26.
994
0.00
740.
5754
11.1
619
.39
22A
JSC
AP
433
12
3
BaS
i 2O5*
sanb
orni
te~s
ynth
etic!
1.58
71.
602
1.60
11.
597
1.61
21.
621
120.
5224
.10
9.79
90.
0060
0.64
5413
.11
20.3
22A
JSC
AP
433
12
3
Ca .
46M
g .35
Fe .
15M
n .01
Al .0
9Si .9
3O3*
1pi
geon
ite1.
6780
1.68
431.
7017
1.69
811.
7043
1.72
2854
.13
18.0
44.
928
0.00
680.
5408
11.3
120
.90
62R
ef.
1R
f21
731
1
Ca 1
.47M
n 1.4
4Mg .
09S
i 3O
9*1
bust
amite
~Lan
gban
!1.
6528
1.66
581.
6671
1.67
301.
6860
1.68
7918
4.04
20.4
516
.256
0.00
730.
5676
11.1
219
.531
AM
MIA
Y16
488
11
Mn .
8Ca .
2SiO
3*1
rhod
onite
~Bro
ken
Hill
!1.
7081
1.71
251.
7200
1.72
961.
7344
1.74
2458
.38
19.4
65.
467
0.00
670.
5165
11.0
621
.42
56H
AM
BA
61
137
11
Mn .
65F
e .13
Ca .
19M
g .03
SiO
3*1
rhod
onite
~Mor
occo
!1.
6980
1.70
211.
7101
1.71
881.
7231
1.73
1558
.38
19.4
65.
407
0.00
670.
5259
11.2
321
.35
56H
AM
BA
61
137
11
Mn .
80C
a .14
Mg .
05F
e .01
SiO
3*1
rhod
onite
~Har
stig
en!
1.69
911.
7030
1.71
071.
7219
1.72
621.
7338
58.3
819
.46
5.41
20.
0073
0.52
5110
.75
20.4
731
AM
MIA
Y16
488
12
CaM
g .94
Fe .
06(21
) Si 2
O6*
1di
opsi
de,
colo
rless
~Nor
dmar
ken!
1.65
491.
6618
1.68
211.
6712
1.67
811.
7003
109.
8318
.30
9.75
20.
0060
0.56
3112
.20
21.6
97R
ef.1
0A10
271
1
Ca .
99M
n .01
Mg .
92F
e .08(2
1) A
l .01S
i 1.9
9O6*
1
diop
side
,ye
llow
-gre
en~N
ordm
arke
n!
1.65
731.
6647
1.68
771.
6734
1.68
041.
7026
109.
9018
.32
9.80
00.
0055
0.55
9412
.74
22.7
97R
ef.1
0A10
271
1
CaM
gSi 2O
61di
opsi
de,
colo
rless
~Zill
erta
l!1.
6527
1.66
211.
6839
1.67
261.
6795
1.70
2410
9.90
18.3
29.
758
0.00
660.
5632
11.6
520
.662
Ref
.1
Rf
1697
51
Ca .
97N
a .02
Mg .
93F
e .03
Cr .0
2Al .0
1Si 2
O6*
1
diop
side
~Rus
sia!
1.65
521.
6621
1.68
311.
6715
1.67
851.
7001
109.
9418
.32
9.76
80.
0059
0.56
2612
.34
21.9
97JO
BP
DE
1432
991
1
Ca .
96M
n .01
Fe .
03
(21
) Mg .
42F
e .56(2
1) F
e .02(3
1) S
i 2O
6*1
diop
side
,bl
ack~
Nor
dmar
ken!
1.68
291.
6898
1.71
011.
6991
1.70
631.
7281
110.
9418
.49
10.1
720.
0055
0.53
4812
.42
23.2
97R
ef.1
0A10
271
1
CaM
g .92
Fe .
08(21
) Si 2
O6*
1di
opsi
de~A
laVa
lley!
1.65
521.
6620
1.68
281.
6705
1.67
751.
6995
109.
9018
.32
9.76
20.
0057
0.56
2812
.59
22.3
62R
ef.
1R
f17
671
2
CaM
gSi 2O
6*am
orph
ous~
Cor
ning
!1.
5968
1.59
681.
5968
1.61
251.
6125
1.61
2512
5.95
20.9
910
.242
0.00
710.
6453
12.0
718
.797
JOB
PD
E14
3299
11
Ca 2
MgS
i 2O
7*1
aker
man
ite1.
6152
1.61
521.
6237
1.63
261.
6326
1.64
0715
3.63
21.9
512
.850
0.00
720.
6181
11.7
118
.997
JOB
PD
E14
3299
11
Ca 2
MgS
i 2O
71ak
erm
anite
1.62
141.
6214
1.62
611.
6391
1.63
911.
6431
153.
6321
.95
12.9
330.
0072
0.61
2011
.70
19.1
62R
ef.
1R
f41
41
1
Ca 2
ZnS
i 2O71
hard
ysto
nite
1.65
301.
6530
1.64
311.
6723
1.67
231.
6610
153.
5521
.94
13.3
660.
0071
0.58
0911
.45
19.7
62R
ef.
1R
f41
41
1
Ca 2
ZnS
i 2O7*
1ha
rdys
toni
te~s
ynth
etic
-Lie
bert
z!1.
6542
1.65
421.
6440
1.67
351.
6735
1.66
1815
3.55
21.9
413
.384
0.00
700.
5797
11.4
919
.897
JOB
PD
E14
3299
11
Ca 2
Al 2
SiO
7*ge
hlen
ite~s
ynth
etic!
1.64
61.
646
1.63
91.
665
1.66
51.
657
149.
0921
.30
12.8
820.
0069
0.58
7211
.64
19.8
93JO
AO
D6
1022
461
3
Ca 2
Ga 2
SiO
7*1
1.69
981.
6998
1.69
091.
7251
1.72
511.
7135
155.
8322
.26
14.3
280.
0078
0.53
2110
.41
19.5
96JO
BP
DE
1319
411
2
Ca 2
CoS
i 2O7*
11.
5731
1.57
311.
6490
1.61
971.
6197
1.67
6415
4.60
22.0
812
.599
0.01
780.
6460
7.62
11.8
97JO
BP
DE
1432
991
1?
Sr 2
CoS
i 2O7*
11.
6174
1.61
741.
6510
1.64
871.
6487
1.67
6616
6.50
23.7
814
.117
0.01
170.
6057
9.10
15.0
97JO
BP
DE
1432
991
1
Na .
87K
.02C
a .02
Mn .
02F
e .92(3
1) A
l .05T
i .03
Fe .
03S
i 2O
5.95
~OH
! .05*
aegi
rine~
Qui
ncy,
MA
!
1.73
11.
758
1.76
91.
768
1.80
61.
823
107.
2817
.99
10.4
620.
0122
0.48
267.
9716
.527
AM
MIA
Y12
233
23
Na .
70C
a .18
Mg .
12F
e .78(3
1) F
e .09(2
1)
Al .0
4Ti .0
2Si 2
O5.
95~O
H! .
05*ae
girin
e~La
ven,
Nor
way
!
1.70
61.
729
1.74
01.
743
1.76
81.
782
107.
7517
.96
10.2
140.
0114
0.50
648.
4416
.627
AM
MIA
Y12
233
23
Ca .
90M
n .01
Na .
06K
.01M
g .63
Fe .
11
(31
) Fe (
2)
1.1
6
Ti .1
2Al .2
9Si 1
.71O
6*tit
anau
gite
~Sto
ffel,
Wes
terw
ald!
1.68
91.
703
1.71
21.
719
1.72
31.
742
111.
2818
.55
10.2
830.
0086
0.52
819.
9418
.834
ZE
KR
DZ
871
23
Ca .
87M
n .01
Na .
05K
.03M
g .69
Fe .
16(31
) Fe .
10(31
) Ti .1
0
Al .2
4Si 1
.78O
6*tit
anau
gite
~Sto
ffel,
Wes
terw
ald!
1.68
01.
682
1.70
01.
700
1.70
71.
728
111.
2818
.55
10.1
240.
0080
0.54
1510
.43
19.2
34Z
EK
RD
Z87
12
3
Fe 3
.0(31
) Mg .
8Al 1
7.2F
e .3(3
1) T
i .1S
i 7.7O
44~O
H!
3.2
*1
stau
rolit
e~S
t.G
otth
ard!
1.72
181.
7267
1.73
161.
7392
1.74
491.
7508
369.
9515
.41
35.1
310.
0054
0.50
4712
.19
24.1
23Z
EK
RD
Z57
310
12
‘‘Na
2T
iSi 4
O111
’’na
rsar
suki
te@c
omp.
not
cert
ain#
1.53
511.
5351
1.57
021.
5534
1.55
341.
5835
228.
6420
.78
17.3
050.
0090
0.71
8911
.28
15.6
62R
ef.
1R
f36
51
1946946 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
‘‘BaN
a 4T
i 2B
2S
i 10O
301’’
leuc
osph
enite
~Nar
sars
uk,
Gre
enla
nd?
!
1.62
771.
6461
1.66
711.
6441
1.66
071.
6877
593.
1519
.77
51.4
580.
0065
0.58
4411
.99
20.5
38R
ef.
10C
293
12
CaT
iSiO
5:F
e1tit
anite
1~P
fitsc
htal!
1.85
131.
8693
2.00
491.
9004
1.91
172.
0959
92.2
218
.44
10.3
100.
0104
0.38
137.
6620
.10
56H
AM
BA
61
285
11
CaT
iSiO
5:A
l,Fe1
titan
ite2
~Mut
tenh
oern
ern!
1.81
241.
8327
1.92
401.
8713
1.87
611.
9941
92.2
218
.44
9.88
80.
0115
0.41
067.
5618
.42
56H
AM
BA
61
285
11
Ca 1
.0T
i 1.0S
iO5*
1tit
anite
,lig
htgr
een
~Eis
bruc
kalp
,P
fund
ers,
Tiro
l!
1.87
311.
8785
1.93
451.
9057
1.90
901.
9913
92.2
218
.44
10.2
060.
0073
0.38
639.
1823
.76
97R
ef.
10A
1609
14?
Ca 1
.0T
i 1.0S
iO5*
1tit
anite
,lig
htbr
own
~Glim
mer
schi
efer
,S
t.Got
thar
d!
1.84
041.
8508
1.95
701.
8879
1.89
412.
0087
92.2
218
.44
10.1
040.
0091
0.39
498.
3221
.08
97R
ef.
10A
1609
12?
Ca 1
.0T
i .98M
n .02
SiO
5*1
titan
ite~V
alM
aggi
a,Te
ssin!
1.82
321.
8356
1.92
331.
8876
1.89
421.
9796
92.2
218
.44
9.92
40.
0120
0.40
767.
3718
.08
97R
ef.
10A
1609
12
Ca 1
.0T
i 0.9
6Fe .
04S
iO5*
1tit
anite
~unk
now
nso
urce!
1.85
951.
8752
2.01
991.
9097
1.91
782.
1145
92.6
018
.52
10.4
300.
0104
0.37
657.
6020
.18
97JO
BP
DE
1432
991
1
Ca 0
.85T
i 1.0
2Si 1
.04O
51tit
anite
~Sch
war
zens
tein
,
Zill
erta
l!
1.86
981.
8801
2.00
281.
9159
1.92
162.
0529
92.2
218
.44
10.3
820.
0081
0.37
578.
5922
.87
97R
ef.
10A
1609
13?
Ca 0
.75T
i 1.0
5Si 1
.07O
51tit
anite
~Wild
kreu
zjoc
h,P
fitsc
h,T
irol!
1.84
571.
8619
1.87
391.
9032
1.90
571.
9174
92.2
218
.44
9.92
20.
0097
0.40
648.
1720
.10
97R
ef.
10A
1609
13
Na 4
Al 3
Si 3
O12
Cl*
1so
dalit
e~T
iahu
anac
o!1.
4741
1.47
411.
4741
1.48
311.
4831
1.48
3134
9.92
26.9
123
.481
0.00
650.
8524
14.4
616
.962
Ref
.1
Rf
2597
52?
Na 4
Al 3
Si 3
O12
Cl*
1so
dalit
e~T
iahu
anac
o!1.
4710
1.47
101.
4710
1.48
261.
4826
1.48
2634
9.92
26.9
123
.350
0.00
850.
8592
12.6
914
.762
Ref
.1
Rf
2597
12
‘‘Na
4A
l 3S
i 3O
12C
l’’1
soda
lite~
Vesu
vius
!1.
4705
1.47
051.
4705
1.48
391.
4839
1.48
3934
9.92
26.9
123
.328
0.00
980.
8603
11.8
213
.797
Ref
.10
A88
51
2?
‘‘Na
4A
l 3S
i 3O
12C
l’’1
soda
lite~
Vesu
vius
!1.
4703
1.47
031.
4703
1.48
251.
4825
1.48
2534
9.92
26.9
123
.320
0.00
890.
8606
12.4
114
.497
Ref
.10
A88
51
2
Ca 1
9Mg .
1AlF
eMg 1
.7F
e .6S
i 18O
69~O
H! 1
0*1
vesu
vian
ite~A
laVa
lley!
1.70
201.
7020
1.69
921.
7224
1.72
241.
7209
1431
.09
18.1
113
2.20
30.
0067
0.52
8111
.25
2197
JOB
PD
E14
3299
11
Ca 1
8.1M
g .1A
l 4F
eAl 5
.2M
g 1.6F
e•
0.5T
i 0.8S
i 18O
69~O
H! 1
0*
1
vesu
vian
ite~V
alD
’Aos
ta!
1.70
991.
7099
1.70
511.
7314
1.73
141.
7275
1432
.70
18.1
313
3.40
30.
0068
0.52
1311
.06
2197
JOB
PD
E14
3299
11
Na .
69K
.16C
a .06
Al .9
8Si 1
.02O
4*ne
phel
ine
~Mon
teS
omm
a,M
t.Ve
suvi
us,
xtal
#2!
1.52
61.
526
1.52
21.
538
1.53
81.
535
90.7
922
.70
6.63
90.
0075
0.75
5212
.66
16.7
631
MN
LMB
B22
569
13
Na .
69K
.16C
a .06
Al .9
8Si 1
.02O
4*
neph
elin
e~M
onte
Som
ma,
Mt.
Vesu
vius
,xt
al#1!
1.52
41.
524
1.52
11.
537
1.53
71.
534
90.7
922
.70
6.62
10.
0075
0.75
7612
.69
16.7
631
MN
LMB
B22
569
13
Na .
68K
.17C
a .04
Al .9
3Si 1
.06O
4*ne
phel
ine
~Lar
vik,
#VII
!N
orw
ay
1.52
71.
527
1.52
41.
540
1.54
01.
536
90.9
022
.72
6.66
10.
0072
0.75
2412
.91
17.1
631
MN
LMB
B22
569
1
Na .
55K
.23C
a .06
Al .8
2Si 1
.16O
4*ne
phel
ine
~Mon
teS
omm
a,#V
II!M
t.Ve
suvi
us
1.52
81.
528
1.52
51.
541
1.54
11.
537
91.0
022
.75
6.67
90.
0072
0.75
0512
.88
17.1
731
MN
LMB
B22
569
1
KA
lSi 2
O61
leuc
ite,
cubi
cbu
tw
ithte
trag
onal
cell~R
ome!
1.49
701.
4970
1.49
701.
5087
1.50
871.
5087
146.
5924
.43
10.2
410.
0077
0.80
5812
.95
16.0
62R
ef.
1R
f27
911
2
CsA
lSi 2O
6.
xH
2O
1po
lluci
te1.
5117
1.51
171.
5117
1.52
461.
5246
1.52
4615
9.80
26.6
311
.442
0.00
790.
7780
12.5
216
.062
Ref
.1
Rf
2748
11
Na .
97K
.02A
lSi 3
O8*
1al
bite
~Am
elia
!F
L12
50K
1.51
671.
5203
1.52
651.
5285
1.53
241.
5386
166.
0020
.75
12.0
700.
0072
0.76
1113
.04
17.1
24Z
EK
RD
Z61
226
11
Na .
97K
.02C
a .01
Al .9
7Fe .
01M
g .02
Si 3
O8*
1
albi
te~R
isch
una!
FL
1250
K
1.51
681.
5208
1.52
671.
5291
1.53
301.
5388
166.
1520
.77
12.0
870.
0073
0.76
0712
.93
17.0
24Z
EK
RD
Z61
226
11
K.9
0Na .
10A
lSi 3
O8*
1ad
ular
ia~S
t.G
otth
ard!
1.50
601.
5097
1.51
201.
5163
1.51
991.
5216
179.
6022
.46
12.8
070.
0063
0.78
2614
.07
17.9
21T
TM
MD
Z35
231
11?
K.7
3Na .
24C
a .03
Al 1
.03S
i 2.9
7O8*
1or
thoc
lase
,
moo
nsto
ne~C
eylo
n!
1.51
031.
5147
1.51
681.
5224
1.52
691.
5289
180.
1022
.51
12.9
430.
0075
0.77
4012
.88
16.6
16M
NLM
BB
1725
31
1
KA
lSi 3
O81
orth
ocla
se~M
adag
asca
r!1.
5092
1.51
361.
5136
1.52
141.
5258
1.52
6118
0.10
22.5
112
.905
0.00
760.
7773
12.7
916
.416
MN
LMB
B17
253
11
K.9
2Na .
08A
l .97F
e .03
Si 3
O8*
1or
thoc
lase
~Mad
agas
car!
1.50
761.
5115
1.51
221.
5193
1.52
371.
5242
180.
1022
.51
12.8
680.
0074
0.78
0412
.96
16.6
97JO
BP
DE
1432
991
1
KA
lSi 3
O8
1m
icro
clin
e,gr
een
amaz
onite
1.50
631.
5082
1.51
021.
5184
1.52
211.
5247
179.
6822
.46
12.7
920.
0085
0.78
4412
.17
15.5
62R
ef.
1R
f29
661
1?
K.8
5Na .
15A
lSi 3
O8*
1sa
nidi
ne~E
ifel!
1.50
911.
5130
1.51
331.
5208
1.52
531.
5254
180.
8222
.60
12.9
490.
0075
0.77
7912
.92
16.6
16M
NLM
BB
1723
71
1947947REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
CaA
l 2S
i 2O
8an
orth
ite~V
esuv
ius!
FL?
1.56
131.
5666
1.57
401.
5743
1.58
241.
5877
167.
5120
.94
13.0
690.
0071
0.68
6612
.45
18.1
62R
ef.
1R
f17
511
1
CaA
l 2S
i 2O
81an
orth
ite~h
i-tem
pfo
rm!
FL?
1.55
911.
5680
1.57
141.
5737
1.58
201.
5871
167.
5122
.51
13.0
480.
0074
0.68
8412
.19
17.7
62R
ef.
1R
f41
511
1
CaA
l 2S
i 2O
8an
orth
ite~M
ijake
jima!
FL?
1.55
891.
5679
1.57
371.
5738
1.58
181.
5871
167.
5122
.51
13.0
610.
0070
0.68
7412
.49
18.1
78A
MM
IAY
6339
42
1
Ca 0
.96N
a .05
Al 1
.93F
e .02
Si 2
.04O
8*1
anor
thite
~Gre
atS
itka
Isla
nd!F
L?
1.56
001.
5689
1.57
291.
5743
1.58
291.
5876
167.
5120
.94
13.0
690.
0072
0.68
6712
.38
18.0
97JO
BP
DE
1432
991
1
CaA
l 2S
i 2O
8*1
amor
phou
s~C
orni
ng!
1.56
091.
5609
1.56
091.
5751
1.57
511.
5751
172.
0521
.50
13.2
990.
0073
0.69
6212
.35
17.7
97JO
BP
DE
1432
991
1
Na .
56C
a .36
K.0
8Al 1
.40
Si 2
.60O
8*1
ande
sine
~Mae
yam
a,S
hina
no,
Japa
n!
1.53
151.
5357
1.53
931.
5449
1.54
891.
5528
166.
9020
.86
12.4
140.
0075
0.73
6512
.50
16.9
23M
NLM
BB
2093
11
Na .
75C
a .24
K.0
1Al 1
.25S
i 2.7
5O8*
1ol
igoc
lase
~Haw
keM
ine,
Bak
ersv
ille,
NC!
1.52
751.
5317
1.53
541.
5403
1.54
471.
5480
166.
4020
.80
12.3
010.
0074
0.74
3312
.71
17.1
23M
NLM
BB
2093
11
Ca .
61N
a .32
K.0
5Al 1
.62
Fe .
01S
i 2.3
7O8*
1
labr
ador
ite~C
ount
yD
own,
Irel
and!
1.54
771.
5523
1.55
681.
5620
1.56
611.
5711
167.
0020
.87
12.7
440.
0075
0.70
9512
.32
17.3
23M
NLM
BB
2093
11
Ba .
98K
.02A
l 1.9
8Si 2
.02O
8ce
lsia
n~19
20!
@ano
mal
ous
disp
ersi
on#
1.61
331.
6168
1.62
271.
5885
1.59
271.
5984
183.
9522
.99
15.3
7820.
0109
0.61
869.
5115
.65
MN
LMB
B35
508
2
Ba .
93K
.04N
a .02
Mg .
01A
l 1.9
8Fe .
02S
i 2O
8*1
para
cels
ian
~Ben
allt
min
e,R
hiw
,C
arna
rvon
shire!
1.54
721.
5666
1.57
431.
5691
1.58
291.
5872
186.
5223
.31
14.4
550.
0087
0.69
3811
.32
16.3
42M
NLM
BB
2623
11
2?
Ca 3
Si 2
O6~O
H! 2
~OH
2! 2*
1af
will
ite
~Dut
oits
pan-
Min
e,K
imbe
rley!us
ed3n
’s
1.60
431.
6067
1.62
061.
6175
1.62
091.
6340
214.
8321
.48
17.7
940.
0059
0.62
7513
.08
20.8
25M
NLM
BB
2027
75
2
Ca 3
Si 2
O6~O
H! 2
~OH
2! 2*
1af
will
ite
~Dut
oits
pan-
Min
e,K
imbe
rly!us
edon
ly2n
’s
1.60
761.
6093
1.62
301.
6169
1.62
041.
6336
214.
8321
.48
17.8
590.
0044
0.62
4015
.01
24.0
25M
NLM
BB
2027
75
2?
Ca 2
Al 3
Si 3
O12
OH
1cl
inoz
oisi
te
~Sch
war
zens
tein
alpe
,Z
iller
tal
!
1.69
581.
6990
1.69
971.
7139
1.71
751.
7191
225.
8017
.37
20.7
930.
0060
0.53
0911
.86
22.3
17T
TM
MD
Z34
231
1
Ca 1
.99S
r .01A
l 2.9
9Mg .
01V
.01S
i 3O
12O
H*
1zo
isite
1
~Mer
elan
iHill
,Aru
sha,
Tanz
ania!
1.67
521.
6772
1.68
391.
6913
1.69
331.
7006
225.
8017
.37
20.3
420.
0056
0.55
0012
.53
22.7
97JO
BP
DE
1432
991
1
Ca 2
.00A
l 3.0
0V.0
2Si 2
.98O
12O
H*
1zo
isite
2
~Mer
elan
iHill
s,A
rush
a,Ta
nzan
ia!
1.67
541.
6775
1.68
461.
6914
1.69
371.
7010
225.
4017
.34
20.3
160.
0056
0.54
9612
.58
22.8
97JO
BP
DE
1432
991
1
Ca 1
.90M
g .04
Fe .
06A
l 2.4F
e .6S
i 3O
12O
H*
1
epid
ote~
Pfa
rreb
,Z
opta
u!
1.70
221.
7184
1.72
301.
7215
1.74
231.
7501
227.
8017
.52
21.3
540.
0071
0.51
5710
.74
20.8
62R
ef.
1R
f29
831
1
Ca 2
Al 2
FeS
i 3O12
OH
*1
epid
ote~
pist
azite
,
Rau
hbee
rste
in,
Zop
tau
!
1.70
531.
7438
1.76
171.
7287
1.76
321.
7794
227.
8017
.52
21.8
630.
0059
0.49
6511
.62
23.4
62R
ef.
1R
f29
831
1?
Ca 1
.94F
e .06
Al 2
.1F
e .9S
i 3O
12O
H*
1ep
idot
e
~Kna
ppen
wan
d,S
ulzb
acht
al!
1.69
571.
7293
1.74
791.
7266
1.75
731.
7742
227.
8017
.52
21.5
780.
0084
0.50
749.
8119
.362
Ref
.1
Rf
2983
11
Ca 2
.00A
l 2.4
6Fe .
52S
i 3O
12O
H*
1ep
idot
e~P
akis
tan!
1.69
501.
6969
1.69
931.
7147
1.71
911.
7236
227.
8417
.52
20.9
550.
0071
0.53
1910
.94
20.5
97JO
BP
DE
1432
991
1
Na 2
.67K
.28C
a 1.0
6Sr .0
1Al 3
.79S
i 8.1
9Fe .
02C
l .76
~CO
3! .
19~S
O4! .
08O
24*1
scap
olite
1.54
311.
5431
1.53
181.
5569
1.55
691.
5449
552.
1922
.09
41.3
180.
0076
0.73
0312
.42
17.0
97JO
BP
DE
1432
991
1
^~N
a,K
! 3C
a&@A
l 4S
i 8#~
Cl,C
O3!O
241sc
apol
ite1.
5694
1.56
941.
5391
1.58
331.
5833
1.55
160.
0069
0.69
9112
.72
18.2
062
Ref
.1
Rf
2852
11
scap
olite
11.
5713
1.57
131.
5419
1.58
581.
5858
1.55
490.
0072
0.69
5812
.47
17.9
262
Ref
.1
Rf
2852
11
scap
olite
11.
5754
1.57
541.
5457
1.59
041.
5904
1.55
900.
0072
0.68
9812
.34
17.8
962
Ref
.1
Rf
320
11
scap
olite
11.
5556
1.55
561.
5354
1.56
961.
5696
1.54
850.
0073
0.71
5112
.51
17.4
962
Ref
.1
Rf
496
11
scap
olite
1~L
ago
Tre
mor
gio!
1.57
141.
5714
1.54
121.
5850
1.58
501.
5531
0.00
670.
6960
12.9
318
.58
62R
ef.
1R
f41
71
2
Ca~
UO
2!~
UO
OH
!~S
iO4!~
SiO
3O
H!•
4H
2O*
beta
-ura
noph
ane~M
itche
llC
ount
y,N
C!1.
654
1.67
61.
676
1.66
31.
687
1.69
735
3.37
22.0
831
.464
0.00
500.
5608
13.4
423
.939
AM
MIA
Y24
324
23?948948 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEO
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Ca~
UO
2!~
UO
OH
!~S
iO4!~
SiO
3O
H!•
4H
2O*
beta
-ura
noph
ane~J
achy
mov
,Jo
achi
mst
al!1.
653
1.65
81.
665
1.66
11.
681
1.68
935
3.37
22.0
831
.093
0.00
660.
5711
11.7
920
.639
AM
MIA
Y24
324
23?
Ger
man
ates
Na 4
Ge 9
O20*
1.66
51.
665
1.67
51.
688
1.68
81.
699
417.
8220
.88
37.1
880.
0082
0.56
0510
.44
18.6
82M
RB
UA
C17
1313
13
K2G
e 4O
9*1
~syn
thet
ic-H
.W
eber!
1.70
261.
7026
1.73
261.
7273
1.72
731.
7591
198.
1922
.02
18.5
400.
0078
0.51
7610
.33
19.9
00R
ef.
141
1
K2G
e 8O
17
*1
~syn
thet
ic-H
.W
eber!
FL?
1.66
661.
6679
1.67
571.
6913
1.69
281.
7012
395.
5023
.26
35.2
730.
0087
0.55
8910
.13
18.1
95R
ef.
121
2
Bi 4
Ge 3
O12*
12.
0267
2.02
672.
0267
2.10
772.
1077
2.10
7729
1.60
24.3
035
.420
0.01
090.
3218
6.88
21.3
72JA
PIA
U43
5110
11
Bi 4
Ge 3
O12*
12.
0218
2.02
182.
0218
2.10
012.
1001
2.10
0129
1.60
24.3
035
.308
0.01
060.
3239
6.98
21.5
95O
PS
UA
379
868
62
Bi 4
Ge 3
O12*
2.02
22.
022
2.02
22.
097
2.09
72.
097
291.
6024
.30
35.3
130.
0103
0.32
377.
1021
.971
Ref
.6
510
83
Bi 4
Ge 3
O12*
12.
0338
2.03
382.
0338
2.10
832.
1083
2.10
8329
1.60
24.3
035
.581
0.00
990.
3189
7.17
22.4
96A
PO
PA
I35
3562
11
Ca 3
Ga 2
Ge 3
O12*
11.
8186
1.81
861.
8186
1.84
801.
8480
1.84
8022
9.89
19.1
623
.860
0.00
670.
4334
10.1
523
.497
JOB
PD
E14
3299
11
CaY
2M
g 2G
e 3O
12*1
1.81
371.
8137
1.81
371.
8410
1.84
101.
8410
233.
0019
.42
24.0
770.
0063
0.43
6810
.50
24.0
79P
RB
MD
O20
4343
11
Ca .
90Y
1.88
Mg 2
.27G
e 3O
12*11.
8065
1.80
651.
8065
1.83
411.
8341
1.83
4123
3.01
19.4
223
.921
0.00
650.
4418
10.4
123
.597
JOB
PD
E14
3299
11
CaY
1.92
Nd .
08Z
n 2G
e 3O
12*1
1.86
461.
8646
1.86
461.
8975
1.89
751.
8975
237.
5019
.79
25.6
410.
0067
0.40
379.
8424
.397
JOB
PD
E14
3299
11
Nd 2
.95M
g 1.4
8In.6
8Ga 1
.54G
e 1.3
2O12*
11.
9039
1.90
391.
9039
1.94
251.
9425
1.94
2525
3.10
21.0
928
.197
0.00
710.
3810
9.27
24.3
97JO
BP
DE
1432
991
1
Ca 3
Ga 2
Ge 4
O14*
11.
7701
1.77
011.
7954
1.79
961.
7996
1.82
3928
0.00
20.0
028
.006
0.00
740.
4624
9.99
21.6
87S
PH
CA
632
236
11
Sr 3
Ga 2
Ge 4
O14*
11.
7690
1.76
901.
7876
1.79
841.
7984
1.81
6629
9.28
21.3
829
.839
0.00
750.
4649
9.96
21.4
87S
PH
CA
632
236
11
Ba 1
.92N
d .04
Ce .
04M
gGe 2
O7*
11.
6833
1.68
331.
7211
1.70
891.
7089
1.74
7719
4.43
27.7
717
.859
0.00
840.
5335
10.1
018
.997
JOB
PD
E14
3299
11
Ba 1
.99N
d .01
ZnG
e 2O
7*1.
732
1.73
21.
735
1.75
21.
752
1.76
419
3.48
27.6
418
.494
0.00
660.
4990
10.9
621
.990
JOB
PD
E7
1190
13?
Pb 5
Ge 3
O11*
1F
E45
0K
2.03
322.
0332
2.06
612.
1304
2.13
042.
1662
325.
1229
.47
39.9
300.
0125
0.31
476.
3420
.172
JAP
IAU
4349
071
2
Pb 5
Ge 3
O11*
1F
E45
0K
2.02
752.
0275
2.05
792.
1262
2.12
622.
1606
325.
1229
.47
39.7
670.
0129
0.31
736.
2719
.797
PS
SA
BA
159
559
12
Tellu
rites
Bi 2
TeO
5*1
2.20
752.
2520
2.27
602.
3402
2.39
042.
4264
131.
8526
.37
18.0
650.
0119
0.24
775.
7723
.294
PA
OA
E1
383
91
1
Tita
nate
sLi
2T
i 3O
7*1
2.04
962.
2204
2.28
832.
1600
2.35
132.
4297
141.
1920
.17
18.7
900.
0122
0.26
765.
9222
.184
WLH
PA
R33
1301
11
CaT
iO3
1.55
541.
5554
1.33
041.
5849
1.58
491.
3358
56.0
318
.68
3.80
30.
0127
0.90
2610
.65
11.8
078
Ref
.7
7-80
17
CaT
iO31
2.26
12.
261
2.26
12.
407
2.40
72.
407
56.0
318
.68
7.73
40.
0120
0.24
305.
7023
.44
58JC
PS
A6
2882
47
5
SrT
iO3*
1F
EF
L10
0K
2.26
752.
2675
2.26
752.
4088
2.40
882.
4088
59.2
019
.70
8.19
60.
0115
0.24
155.
7823
.96
86R
ef.
429
11
SrT
iO3*
1F
EF
L10
0K
2.26
292.
2629
2.26
292.
4145
2.41
452.
4145
59.2
019
.70
8.17
90.
0124
0.24
275.
6023
.07
78R
ef.
77-
106
11
SrT
iO3*
1F
EF
L10
0K
2.26
472.
2647
2.26
472.
4152
2.41
522.
4152
59.2
019
.70
8.18
50.
0123
0.24
225.
6223
.21
79R
ef.
2BR
f72
b11
1
SrT
iO3*
1F
EF
L10
0K
2.24
852.
2485
2.24
852.
4053
2.40
532.
4053
59.2
019
.70
8.12
40.
0131
0.24
665.
5022
.29
95S
PH
CA
640
640
11
SrT
iO2.
929
*1
FE
FL
2.29
502.
2950
2.29
502.
4035
2.40
352.
4035
59.3
320
.25
8.31
70.
0087
0.23
436.
5828
.09
95S
PH
CA
640
640
11?
SrT
iO3*
FE
FL
100
K2.
268
2.26
82.
268
2.41
02.
410
2.41
059
.20
19.7
08.
198
0.01
160.
2414
5.77
23.9
265
JAP
IAU
3616
741
3
BaT
iO3*
1F
E40
3K
FL
393
K2.
2943
2.29
432.
2605
2.44
082.
4408
2.38
3364
.60
21.5
09.
007
0.01
100.
2375
5.87
24.7
171
Ref
.6
509
11
BaT
iO3*
1F
E40
3K
FL
393
K2.
2957
2.29
572.
2613
2.44
012.
4401
2.38
2964
.60
21.5
09.
012
0.01
090.
2371
5.90
24.9
086
Ref
.4
241
1
Ba .
77C
a .23
TiO
3*1
FE
FL
2.27
262.
2726
2.24
492.
4197
2.41
972.
3708
63.3
021
.10
8.74
70.
0115
0.24
265.
8123
.93
97P
SS
AB
A15
955
91
2
PbT
iO3*
1F
E76
3K
2.56
172.
5617
2.56
172.
7899
2.78
992.
7899
63.1
421
.05
9.79
20.
0112
0.17
985.
0628
.14
73JJ
AP
A5
1253
18
1
PbT
iO3*
1F
E76
3K
2.52
182.
5218
2.52
262.
6955
2.69
552.
6848
63.1
421
.05
9.66
50.
0092
0.18
655.
7030
.55
71R
ef.
651
31
2?
PbT
iO3*
cera
mic
2.52
32.
523
2.52
32.
693
2.69
32.
693
63.1
421
.05
9.66
80.
0092
0.18
645.
7130
.61
77A
PO
PA
I16
3210
13?
Pb .
88La
.08Z
r .80T
i .20O
3*ce
ram
ic2.
363
2.36
32.
363
2.49
82.
498
2.49
869
.73
23.2
410
.062
0.00
960.
2186
6.04
27.6
177
AP
OP
AI
1632
101
3
Pb .
85La
.10Z
r .65T
i .35O
3*ce
ram
ic2.
374
2.37
42.
374
2.50
92.
509
2.50
968
.22
22.7
49.
888
0.00
930.
2156
6.09
28.2
477
AP
OP
AI
1632
101
3
Pb .
97La
.02Z
r .65T
i .35O
3*ce
ram
ic2.
395
2.39
52.
395
2.54
32.
543
2.54
368
.67
22.8
910
.036
0.00
980.
2111
5.87
27.7
977
AP
OP
AI
1632
101
3
Pb .
76La
.16T
i .60Z
r .40O
3*ce
ram
ic2.
421
2.42
12.
421
2.57
52.
575
2.57
565
.89
21.9
69.
727
0.00
980.
2058
5.80
28.1
877
AP
OP
AI
1632
101
3
Pb .
64La
.24T
i .90Z
r .10O
3*ce
ram
ic2.
478
2.47
82.
478
2.65
62.
656
2.65
663
.09
21.0
39.
511
0.01
020.
1945
5.53
28.4
177
AP
OP
AI
1632
101
3949949REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Pb .
88La
.08T
i .90Z
r .10O
3*ce
ram
ic2.
500
2.50
02.
500
2.66
92.
669
2.66
963
.59
21.2
09.
661
0.00
940.
1905
5.69
29.8
677
AP
OP
AI
1632
101
3
Ba 2
TiS
i 2O
8*1
fres
noite
FE.
670
K1.
7379
1.73
791.
7390
1.76
411.
7641
1.76
1718
9.00
23.6
218
.164
0.00
710.
4947
10.5
321
.277
JCR
GA
E40
200
11
Pho
spha
tes
AlP
O4*
1be
rlini
te~s
ynth
etic!
1.51
401.
5140
1.52
261.
5244
1.52
441.
5335
77.3
419
.34
5.58
50.
0064
0.76
8713
.83
18.0
065
JAP
IAU
3616
741
1
AlP
O4*
1be
rlini
te,
20pp
mH 2
O~s
ynth
etic!
1.51
361.
5136
1.52
231.
5247
1.52
471.
5339
77.3
419
.34
5.58
10.
0068
0.76
9413
.41
17.4
297
JOB
PD
E14
3299
11
AlP
O4*
1be
rlini
te,
100
ppm
H 2O
~syn
thet
ic!1.
5136
1.51
361.
5224
1.52
441.
5244
1.53
3677
.34
19.3
45.
582
0.00
670.
7694
13.5
617
.62
97JO
BP
DE
1432
991
1
AlP
O4*
1be
rlini
te,
250
ppm
H 2O
~syn
thet
ic!1.
5137
1.51
371.
5224
1.52
471.
5247
1.53
3877
.34
19.3
45.
582
0.00
680.
7693
13.4
417
.48
97JO
BP
DE
1432
991
1
AlP
O4*
1be
rlini
te,
1000
ppm
H 2O~s
ynth
etic!
1.51
361.
5136
1.52
231.
5246
1.52
461.
5337
77.3
419
.34
5.58
10.
0068
0.76
9413
.49
17.5
397
JOB
PD
E14
3299
11
AlP
3O
9*1
1.54
881.
5488
1.54
881.
5606
1.56
061.
5606
161.
7317
.97
12.2
780.
0063
0.71
4913
.42
18.7
97JO
BP
DE
1432
991
1
GaP
O 4*1
1.58
621.
5862
1.60
361.
6008
1.60
081.
6189
76.6
519
.16
6.19
20.
0068
0.65
1812
.41
19.0
497
JOB
PD
E14
3299
11
ScP
O 4*1.
696
1.69
61.
894
1.71
81.
718
1.92
262
.57
15.6
46.
159
0.00
630.
4839
11.0
422
.82
00O
MAT
ET
1510
34
4
YP
O4*
1.63
61.
636
1.81
01.
652
1.65
21.
831
71.2
517
.81
6.53
10.
0059
0.54
4112
.12
22.2
700
OM
ATE
T15
103
44
TbP
O 4*1.
657
1.65
71.
842
1.67
71.
677
1.86
673
.07
18.2
76.
880
0.00
640.
5208
11.3
921
.87
00O
MAT
ET
1510
34
4
DyP
O4*
1.66
31.
663
1.84
41.
682
1.68
21.
861
72.1
018
.02
6.82
20.
0057
0.51
6312
.02
23.2
900
OM
ATE
T15
103
44?
HoP
O 4*1.
660
1.66
01.
843
1.67
81.
678
1.86
171
.35
17.8
46.
735
0.00
560.
5185
12.2
023
.53
00O
MAT
ET
1510
34
4?
ErP
O 4*1.
660
1.66
01.
837
1.67
61.
676
1.85
270
.65
17.6
66.
655
0.00
480.
5197
13.1
925
.37
00O
MAT
ET
1510
34
4?
Tm
PO 4*
1.66
01.
660
1.83
21.
678
1.67
81.
849
70.0
017
.50
6.58
20.
0055
0.52
1112
.26
23.5
400
OM
ATE
T15
103
44?
YbP
O4*
1.66
11.
661
1.83
71.
676
1.67
61.
853
69.3
017
.32
6.53
20.
0048
0.51
9413
.12
25.2
600
OM
ATE
T15
103
44?
LuP
O4*
1.65
91.
659
1.83
41.
675
1.67
51.
855
68.6
717
.17
6.45
70.
0054
0.52
1412
.39
23.7
600
OM
ATE
T15
103
44?
LuP
O4*
1.68
1.68
1.74
68.6
717
.17
6.33
676
JPC
SA
W37
321
74
Pb 3
P 2O
81~P
b 5P 3
O12
F?!
com
posi
tion
unce
rtai
n,F
L45
3K
1.91
441.
9144
1.88
731.
9701
1.97
011.
9363
301.
1023
.16
33.5
820.
0096
0.38
037.
9620
.923
ZE
KR
DZ
5822
61
2
Pb 3
P 2O
8:2
%C
ePO 41
~Pb 5
P 3O
12F
?!co
mpo
sitio
nun
cert
ain,
FL
1.91
571.
9157
1.88
321.
9696
1.96
961.
9323
301.
1023
.16
33.5
690.
0094
0.38
068.
0421
.123
ZE
KR
DZ
5822
61
2
Pb 5
P 3O
12C
l*1
pyro
mor
phite
,gr
een~E
ms,
Nau
ssau!
1.99
291.
9929
1.98
352.
0585
2.05
852.
0477
316.
5824
.35
37.5
300.
0096
0.33
797.
5122
.231
ZE
KR
DZ
7743
71
1
Pb 5
P 3O
12C
l*1
pyro
mor
phite
,br
own~
Hol
zapp
el,
Nas
sau!
1.99
441.
9944
1.98
412.
0587
2.05
872.
0476
316.
5824
.35
37.5
610.
0094
0.33
747.
5722
.431
ZE
KR
DZ
7743
71
1
NdP
5O
14*1
FL
419
K1.
5922
1.59
721.
6132
1.61
161.
6067
1.62
8525
6.90
18.3
521
.006
0.00
650.
6400
12.5
319
.597
JOB
PD
E14
3299
11
GdP
5O
14*F
L17
5K
1.61
351.
5883
1.57
781.
6298
1.61
591.
6097
250.
8117
.91
20.2
960.
0114
0.65
069.
5314
.687
WLH
PA
R36
823
81?
ErP
5O
14*1
FL?
1.60
801.
6022
1.58
801.
6128
1.60
761.
5954
248.
5417
.75
20.2
820.
0027
0.64
2019
.62
30.5
87W
LHP
AR
3682
38
1?
NaB
ePO 4*
1be
ryllo
nite
~Sto
neha
m,
ME!
1.54
041.
5459
1.55
311.
5519
1.55
781.
5620
75.1
018
.77
5.68
10.
0059
0.71
8713
.99
19.4
662
Ref
.1
Rf
2556
11
NaB
ePO 4*
1be
ryllo
nite
~Sto
neha
m,
ME!
1.54
101.
5477
1.55
091.
5523
1.55
901.
5624
75.1
118
.78
5.68
20.
0062
0.71
8513
.66
19.0
197
JOB
PD
E14
3299
11
KG
eOP
O 4*1
1.64
201.
6472
1.65
531.
6585
1.66
361.
6732
99.4
519
.89
8.64
00.
0064
0.58
2612
.07
20.7
294
CR
TE
DF
2958
31
1
KT
iOP
O4*
1pr
obab
leF
E12
07K
1.72
521.
7313
1.80
911.
7683
1.77
801.
8724
108.
8921
.78
10.6
460.
0133
0.48
227.
6215
.891
Ref
.8
103
81
KT
iOP
O4*
prob
able
FE
1207
K1.
732
1.72
91.
809
1.77
11.
777
1.87
410
8.89
21.7
810
.662
0.01
300.
4806
7.69
16.0
94C
RT
ED
F29
583
13
K.8
5Rb .
15T
iOP
O4*
11.
7304
1.73
371.
8117
1.77
221.
7794
1.87
6510
8.99
21.8
010
.692
0.01
310.
4794
7.66
15.9
94C
RT
ED
F29
583
12
RbT
iOP
O 4*1
prob
able
FE
1062
K1.
7508
1.75
671.
8300
1.79
431.
8057
1.89
4711
1.26
22.2
511
.135
0.01
280.
4631
7.62
16.4
93P
SIS
DG
1863
435
1
Li.9
5Ca .
03M
g .02
Fe .
59M
n .41
PO
4*tr
iphy
lite
~Gra
fton,
NH!
1.67
01.
670
1.67
81.
687
1.68
81.
694
73.2
418
.31
6.55
20.
0059
0.55
6012
.27
22.0
733
Ref
.10
B22
78
4
Ca 4
.91N
a .08
Y.0
4~P
O4! 2
.95~
SiO
4! .
03~S
O4! .
02F 1
.90C
l .12
*1
fluor
apat
ite1.
6218
1.62
181.
6186
1.63
631.
6363
1.63
2826
2.65
20.5
322
.046
0.00
600.
6147
12.8
120
.897
JOB
PD
E14
3299
11
Ca 4
.95M
n .03
Fe .
02~P
O4! 2
.96F
1.02
*1
fluor
apat
ite~u
nkno
wn
sour
ce!1.
6198
1.61
981.
6175
1.63
481.
6348
1.63
2326
1.57
20.3
221
.908
0.00
620.
6169
12.5
720
.397
JOB
PD
E14
3299
11
Ca 5
~PO
4! 3
~OH
.6F .
4!1
fluor
apat
ite~Z
iller
tal,
Tiro
l!1.
6313
1.63
131.
6275
1.64
611.
6461
1.64
1726
2.00
20.1
522
.255
0.00
590.
6035
12.8
121
.262
Ref
.1
Rf
2850
11
Ca 4
.98F
e .02
~PO
4! 3
F .99
Cl .0
1*
1flu
orap
atite
~Rot
enko
pf!1.
6318
1.63
181.
6283
1.64
621.
6462
1.64
1726
2.00
20.1
522
.272
0.00
570.
6028
13.0
621
.608
ZE
KR
DZ
4555
51
1
Ca 4
.98F
e .02
~PO
4! 3
F*1
fluor
apat
ite~K
napp
enw
and!
1.62
531.
6253
1.62
271.
6391
1.63
911.
6360
262.
0020
.15
22.0
970.
0056
0.61
0213
.22
21.6
08Z
EK
RD
Z45
555
11
Li.9
7Na .
03A
lPO
4~O
H! .
88F .
12*1
mon
tebr
asite
1.60
001.
6096
1.62
591.
6121
1.62
191.
6387
80.5
416
.11
6.68
20.
0053
0.62
6013
.73
21.9
354
NJG
MA
219
5425
71
1
Li1.
93N
a .04
K.0
1Mg .
02A
l 2P 2
O8~F
.9O
H1.
1!*
1m
onte
bras
ite
~Kar
ibib
,S
WA
fric
a!
1.58
41.
598
1.60
61.
594
1.60
81.
616
80.5
416
.11
6.54
20.
0047
0.64
6914
.83
22.9
246
AM
MIA
Y31
512
3?
Li1.
0Al 1
.0P 1
.0O
4~O
H! .
98F .
02*1
mon
tebr
asite
~Min
asG
erai
s!1.
6083
1.61
601.
6347
1.62
111.
6290
1.64
8080
.54
16.1
16.
751
0.00
540.
6162
13.4
721
.85
97JO
BP
DE
1432
991
1
KH
2P
O4*
1F
E12
3K
FL
220
K1.
4972
1.49
721.
4587
1.46
821.
4682
1.50
9296
.85
24.2
16.
619
0.00
760.
8596
13.4
615
.65
69R
ef.
2AR
f93
11950950 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
KH
2P
O4*
1F
E12
3K
FL
220
K1.
4975
1.49
751.
4587
1.50
931.
5093
1.46
8296
.85
24.2
16.
622
0.00
760.
8322
13.1
915
.85
64JO
SA
AH
5412
151
1
RbH
2P
O4*
1F
E14
7K
FL
144
K1.
4936
1.49
361.
4662
1.50
541.
5054
1.47
6410
5.60
26.4
07.
218
0.00
780.
8315
13.0
715
.767
SP
HC
A6
1171
11
1
RbH
2P
O4*
1F
E14
7K
FL
144
K1.
4937
1.49
371.
4660
1.50
541.
5054
1.47
6410
5.60
26.4
07.
218
0.00
780.
8316
13.0
315
.667
SP
HC
A6
1171
11
1
RbH
2P
O4*
1F
E14
7K
FL
144
K1.
4874
1.48
741.
4661
1.50
521.
5052
1.47
6710
5.60
26.4
07.
165
0.01
070.
8398
11.2
113
.367
SP
HC
A6
1238
38
2?
PbH
PO 4*
FE
310
K1.
782
1.78
21.
846
1.82
21.
822
1.88
589
.30
22.3
29.
141
0.00
930.
4447
8.73
19.6
388
JPS
OA
W21
1661
14
NaH
2PO
4•H
2O*1
1.44
331.
4720
1.47
381.
4556
1.48
521.
4873
111.
0222
.20
7.30
00.
0099
0.87
7811
.93
13.5
62R
ef.
1R
f25
771
1
NaH
2PO
4•2
H2O
*11.
4296
1.45
071.
4679
1.44
001.
4628
1.48
1413
6.80
22.7
98.
766
0.00
960.
9097
12.2
813
.562
Ref
.1
Rf
2577
11
Na 2
HP
O4•
7H
2O*1
1.42
901.
4304
1.44
041.
4411
1.44
231.
4525
264.
6024
.05
16.4
260.
0105
0.94
8712
.03
12.6
62R
ef.
1R
f25
771
1
Na 2
HP
O4•
12H
2O*1
1.41
931.
4231
1.42
391.
4320
1.43
611.
4373
386.
2524
.14
23.4
370.
0119
0.97
8211
.45
11.7
62R
ef.
1R
f25
771
1
Na 4
P 2O
7•10
H2O
*11.
4376
1.44
031.
4484
1.44
991.
4524
1.46
0340
7.50
23.9
725
.745
0.01
010.
9263
12.0
913
.062
Ref
.1
Rf
2577
11
Cu~
UO
2PO
4!2•
8H
2Om
etat
orbe
rnite
1.59
41.
594
1.60
31.
624
1.62
41.
626
421.
0721
.05
34.2
500.
0121
0.64
479.
2414
.362
Ref
.1
Rf
317
24
Vana
date
sY
VO
4*1
1.93
871.
9387
2.13
912.
0022
2.00
222.
2285
79.7
019
.93
9.54
80.
0102
0.33
497.
2621
.67
90R
EK
ED
A18
616
11
YV
O4*
11.
9330
1.93
302.
1322
2.00
112.
0011
2.22
4679
.70
19.9
39.
510
0.01
090.
3376
7.05
20.8
797
JOB
PD
E14
3299
11
Y.9
76N
d .02
4VO
4*1
1.94
071.
9407
2.14
311.
9996
1.99
962.
2269
79.7
019
.93
9.56
50.
0095
0.33
387.
5122
.51
78JA
PIA
U49
5517
81
Y.9
5Tm
.05V
O4*
1.90
11.
901
2.24
92.
003
2.00
32.
419
79.7
219
.93
9.62
30.
0164
0.33
705.
7417
.03
93JA
PN
DE
3216
518
3?
YV
O4*
1.99
1.99
2.01
79.8
019
.95
9.50
476
JPC
SA
W37
321
34
Gd .
987N
d .01
3VO
4*1
1.94
681.
9468
2.15
472.
0164
2.01
642.
2563
82.6
120
.65
9.96
60.
0109
0.33
046.
9521
.03
95S
JQE
AF
2511
621
1
Gd .
96T
m.0
4VO
4*1
1.94
211.
9421
2.15
502.
0145
2.01
452.
2566
82.3
920
.60
9.92
00.
0113
0.33
206.
8520
.65
95S
JQE
AF
2511
621
1
Gd .
7Er .3
VO
4*1
1.95
211.
9521
2.15
762.
0223
2.02
232.
2594
81.4
920
.37
9.86
00.
0109
0.32
846.
9421
.14
95S
JQE
AF
2511
621
1
LuV
O4*
1.97
1.97
2.00
76.9
019
.27
9.05
676
JPC
SA
W37
321
35
Ca 3
V2O
8*1
prob
able
FE
1380
K1.
8376
1.83
761.
8177
1.89
191.
8919
1.86
8218
3.28
22.9
019
.231
0.01
140.
4252
7.72
8.1
78O
PC
OB
827
393
51
NaC
a 2M
g 2V
3O
12*1
1.87
411.
8741
1.87
411.
9342
1.93
421.
9342
241.
5120
.12
26.2
770.
0115
0.39
817.
4218
.697
JOB
PD
E14
3299
11
NaC
a 2M
g 2V
3O
12*1
1.87
201.
8720
1.87
201.
9339
1.93
391.
9339
241.
5120
.12
26.2
320.
0119
0.39
937.
3218
.397
JOB
PD
E14
3299
11
Sr 5
V3O
12F*
11.
8067
1.80
671.
7911
1.85
761.
8576
1.84
1632
2.12
24.7
832
.919
0.01
180.
4454
7.77
17.4
95R
ef.
1360
45
2
Pb 5
V2.
63A
s .30
P .07
O12
Cl*
1va
nadi
nite
,ye
llow
~Hill
sbor
o,N
M!
2.24
772.
2477
2.21
322.
4051
2.40
512.
3427
338.
9626
.07
46.2
430.
0126
0.25
005.
6222
.431
ZE
KR
DZ
7743
71
2
Pb 5
V2.
96A
s .02
P .02
O12
Cl*
1va
nadi
nite
,re
d~G
ilaC
ount
y,A
Z!2.
2596
2.25
962.
2190
2.41
122.
4112
2.34
6933
8.96
26.0
746
.461
0.01
210.
2473
5.71
23.1
31Z
EK
RD
Z77
437
11
Ars
enat
esYA
sO4*
1.70
1.70
1.76
78.5
019
.62
7.40
276
JPC
SA
W37
321
35
Sm
AsO
4*1.
721.
721.
7382
.94
20.7
37.
848
87JP
CS
AW
4850
93
5
LuA
sO4*
1.83
1.83
1.85
75.1
718
.79
7.92
676
JPC
SA
W37
321
74
KT
iOA
sO4*
11.
7664
1.77
011.
8458
1.81
391.
8206
1.91
3711
6.42
23.2
811
.816
0.01
290.
4520
7.48
16.5
93P
SIS
DG
1863
435
1
KT
iAsO
4*1
1.76
791.
7708
1.84
701.
8150
1.82
101.
9144
116.
4223
.28
11.8
290.
0128
0.45
117.
5116
.695
JOB
PD
E12
794
11
KT
iOA
sO4*
11.
7692
1.76
541.
8488
1.81
411.
8193
1.91
9411
6.42
23.2
811
.820
0.01
310.
4518
7.42
16.4
94C
RT
ED
F29
583
12
RbT
iOA
sO4*
11.
7883
1.79
341.
8591
1.83
581.
8450
1.92
7911
9.31
23.8
612
.328
0.01
240.
4378
7.51
17.1
93P
SIS
DG
1863
435
1
RbT
iOA
sO4*
11.
7892
1.79
401.
8596
1.83
651.
8455
1.92
7611
9.31
23.8
612
.335
0.01
230.
4373
7.53
17.2
96JO
BP
DE
1319
351
1
CsT
iOA
sO4*
11.
8341
1.84
411.
8953
1.88
661.
9023
1.96
9812
3.62
24.7
213
.272
0.01
220.
4084
7.31
17.9
93P
SIS
DG
1863
435
1
KH
2A
sO4*
1F
E97
K1.
5485
1.54
851.
5016
1.56
711.
5671
1.51
7810
4.12
26.0
37.
713
0.01
000.
7425
10.8
714
.664
Ref
.11
B18
78
1
KH
2A
sO4*
1F
E97
K1.
5446
1.54
461.
5016
1.56
301.
5630
1.51
6410
4.12
26.0
37.
681
0.00
980.
7467
11.0
514
.887
FE
RO
A8
7295
11
RbH
2A
sO4*
1F
E11
0K
1.54
111.
5411
1.50
641.
5583
1.55
831.
5211
113.
6528
.41
8.37
50.
0094
0.74
7511
.29
15.1
87F
ER
OA
872
951
1
CsH
2A
sO4*
1F
E14
3K
1.55
111.
5511
1.53
101.
5688
1.56
881.
5472
125.
7531
.43
9.48
30.
0093
0.72
2211
.14
15.4
87F
ER
OA
872
951
1
Pb 5
As 3
O9C
l1fin
nem
anite
2.17
862.
1786
2.18
142.
2977
2.29
772.
2866
317.
2124
.40
42.0
730.
0111
0.26
666.
1923
.262
Ref
.1
Rf
288
11
Pb 4
.95C
a .05
As 3
O12
Cl*
1m
imet
ite~W
heal
-Alfr
ed,
Cor
nwal
l!2.
0619
2.06
192.
0459
2.14
692.
1469
2.12
8233
8.63
26.0
541
.910
0.01
060.
3097
6.84
22.0
31Z
EK
RD
Z77
437
11
Pb 4
.92C
a .08
As 2
.93P
.07O
12C
l*1
mim
etite
~Tsu
meb
,S
WA
fric
a!2.
0584
2.05
842.
0433
2.14
342.
1434
2.12
6133
8.63
26.0
541
.828
0.01
070.
3109
6.82
21.9
31Z
EK
RD
Z77
437
11
NaD
2AsO
4•D
2O*1
1.52
121.
5362
1.54
231.
5381
1.55
351.
5606
117.
2523
.45
8.69
10.
0099
0.74
0610
.95
14.7
62R
ef.
1R
f25
771
1951951REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
O-
atom
,VO
,an
dm
ean
valu
esof
elec
tron
icpo
lariz
abili
ties
^ae&
,m
ean
disp
ersi
onva
lues ^
A&
and
^B&
acco
rdin
gto
Eq.
~3a!
,an
dav
erag
eofE
Oan
dE
dac
cord
ing
toE
q.~3
b!.
Sou
rce
refe
renc
esus
eC
oden
sfr
omth
eA
mer
ican
Che
mic
alS
ocie
ty,
Che
mic
alA
bstr
acts
Ser
vice
Sou
rce
Inde
x19
07–
1999
Cum
ulat
ive~
Am
eric
anC
hem
ical
Soc
iety
,W
ashi
ngto
n,D
C,
2000
!.~S
ymbo
ls*
and
1an
dnu
mer
ical
valu
esfo
rm
etho
dan
der
ror
can
befo
und
atth
een
dof
the
tabl
e.!—
Con
tinue
d
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Na 2
HA
sO4•
7H2O
*1.
4475
1.45
121.
4632
1.46
221.
4657
1.47
8127
4.40
24.9
417
.739
0.01
160.
8978
11.1
412
.462
Ref
.1
Rf
2577
11
Mn 6
.5C
a .25
Mg .
25A
s 2O
8~O
H! 8*
1al
lact
ite~L
angb
ansh
utta
n!1.
7300
1.74
941.
7490
1.77
441.
7786
1.77
8733
6.14
21.0
132
.456
0.00
810.
4865
9.82
20.1
33R
ef.
10B
1181
11
Ant
imon
ates
Ca 1
.0N
a .8M
n .2S
b 2O
7*1
atop
ite~M
igue
lBur
nier
,M
inas
Ger
ais!
1.80
161.
8016
1.80
161.
8384
1.83
841.
8384
135.
8019
.40
13.8
790.
0087
0.44
529.
0520
.333
Ref
.10
B39
21
1
Nio
bate
sLi
NbO
3*1
FE
1483
KF
L14
70K
2.20
932.
2093
2.13
112.
3036
2.30
362.
2113
53.0
317
.68
7.04
70.
0088
0.26
596.
9426
.11
67JA
PIA
U38
1941
11
LiN
bO3*
1Li
:Nb
50.
946:
1~p
oled
crys
tal!F
E14
93K
FL
1470
K2.
2040
2.20
402.
1314
2.30
022.
3002
2.21
4453
.08
17.6
97.
041
0.00
910.
2669
6.86
25.6
974
JAP
IAU
4536
881
1
LiN
bO3*
1~v
apor
-gro
wn
crys
tal!F
E14
93K
2.20
752.
2075
2.12
182.
3010
2.30
102.
2000
53.0
817
.69
7.03
80.
0088
0.26
736.
9826
.10
90IE
JQA
726
135
11
LiN
bO3*
1~c
ongr
uent
mel
t!F
E14
93K
2.20
442.
2044
2.13
162.
2998
2.29
982.
2138
53.0
817
.69
7.04
20.
0090
0.26
686.
8925
.81
76O
PC
OB
817
332
11
Li.9
7Mg .
03N
bO3*
1F
EF
L2.
2011
2.20
112.
1235
2.29
492.
2949
2.20
3553
.03
17.6
87.
018
0.00
890.
2684
6.94
25.8
691
SJQ
EA
F21
225
11
Li.9
5Mg .
05N
bO3*
1F
EF
L2.
1994
2.19
942.
1219
2.29
462.
2946
2.20
2753
.03
17.6
87.
012
0.00
910.
2689
6.89
25.6
392
CP
LEE
U9
427
11
KN
bO3*
1F
E69
1K
2.18
792.
2196
2.09
312.
2968
2.35
042.
1824
64.7
221
.58
8.52
80.
0109
0.27
156.
3223
.29
92JO
BP
DE
938
01
1
KN
bO3*
1F
E69
1K
2.09
232.
1877
2.21
802.
1810
2.29
572.
3487
64.7
221
.58
8.52
40.
0106
0.27
126.
3923
.58
74JJ
AP
A5
1313
621
1
KN
bO3*
1F
E69
1K
2.09
232.
1877
2.21
802.
2952
2.34
782.
1810
64.7
221
.58
8.52
40.
0108
0.27
186.
3523
.36
74JJ
AP
A5
1313
621
1
Sr 2
Nb 2
O7*
FE
1615
K2.
092.
002.
092.
172.
062.
1614
9.35
21.5
318
.523
0.00
880.
3088
7.49
24.2
97F
ER
OA
820
375
15
Sr 2
Nb 2
O7*
FE
1615
K2.
092.
002.
092.
172.
062.
1615
0.95
21.5
618
.721
0.00
880.
3088
7.49
24.2
89JU
PS
UA
5839
81
5
LaN
bO4*
FL
792
K2.
136
2.05
32.
036
2.20
02.
105
2.08
783
.29
20.8
210
.424
0.00
690.
3032
8.37
27.6
170
OP
SU
A3
2838
13
Cs 8
Nb 2
2O59*
2.13
2.13
2.08
2.25
2.25
2.18
1408
.40
23.4
718
0.23
60.
0124
0.28
936.
1221
78JC
RG
AE
4311
52
5?
Ba .
25S
r .75N
b 2O
6*1
FE
333
K2.
226
2.22
62.
167
2.32
62.
326
2.32
212
1.45
20.2
416
.329
0.01
100.
2587
6.14
23.7
68JA
PIA
U39
343
13
Ba .
25S
r .75N
b 2O
6*F
E33
3K
2.21
72.
217
2.20
52.
328
2.32
82.
316
121.
4520
.24
16.3
830.
0102
0.25
656.
3424
.784
SP
HC
A6
2964
11
3
Ba .
39S
r .61N
b 2O
6*F
E34
8K
2.22
02.
220
2.19
12.
327
2.32
72.
297
122.
3820
.40
16.4
870.
0099
0.25
746.
4525
.084
SP
HC
A6
2964
11
3
Ba .
39S
r .61N
b 2O
6*F
E34
8K
2.21
82.
218
2.19
52.
330
2.33
02.
299
122.
3820
.40
16.4
870.
0101
0.25
756.
3824
.796
PS
SA
BA
154
K5
13
Ba .
5Sr .5
Nb 2
O6*
1F
E40
3K
2.22
32.
223
2.19
32.
327
2.32
72.
287
123.
0020
.50
16.5
920.
0093
0.25
666.
6425
.868
JAP
IAU
3934
31
3
Ba .
54S
r .46N
b 2O
6*F
E2.
220
2.22
02.
186
2.32
82.
328
2.28
612
3.25
20.5
416
.590
0.00
980.
2579
6.50
25.2
84S
PH
CA
629
641
13
Ba .
67S
r .33N
b 2O
6*F
E2.
220
2.22
02.
182
2.32
92.
329
2.28
012
4.08
20.6
716
.691
0.00
970.
2582
6.52
25.2
84S
PH
CA
629
641
13
Ba .
75S
r .25N
b 2O
6*F
E47
3K
2.21
92.
219
2.22
82.
330
2.33
02.
265
122.
1420
.36
16.5
490.
0079
0.25
407.
1628
.268
JAP
IAU
3934
31
4?
K3Li
2N
b 5O
15*1
FE
703
K2.
1697
2.16
972.
0857
2.29
542.
2954
2.17
5531
7.10
21.1
441
.223
0.01
180.
2793
6.17
22.0
71R
ef.
651
78
2
Sr 4
.25N
a 1.2
5Li .2
5Nb 1
0O30*
1F
E41
8K
2.22
372.
2148
2.19
112.
3347
2.32
282.
2994
587.
3019
.58
79.1
020.
0101
0.25
766.
3924
.881
WH
LPA
R30
1259
11
Ba 3
LaN
b 3O
12
*2.
187
2.18
72.
049
2.27
02.
270
2.10
426
8.97
22.4
134
.953
0.00
790.
2804
7.55
26.9
86IN
OM
AF
2240
11
3
Ba 2
NaN
b 5O
15*1
FE
833
KF
L2.
2251
2.22
382.
1454
2.33
892.
3376
2.22
9530
9.63
20.6
441
.459
0.00
980.
2614
6.53
25.0
70P
LRB
AQ
227
091
1
Ba 6
Ti 2
Nb 8
O30*
FE
518
K2.
219
2.21
92.
190
2.33
32.
333
2.29
462
9.56
20.9
884
.771
0.01
020.
2577
6.35
24.6
73JP
CS
AW
3416
391
3
PbN
b 4O
11*1
FE
813
K2.
2637
2.26
712.
2908
2.38
192.
3844
2.41
0324
2.96
22.0
933
.735
0.00
970.
2398
6.28
26.1
71R
ef.
651
38
2
PbM
g .33
3Nb .
666O
3*F
E26
5K
2.42
22.
422
2.42
22.
581
2.58
12.
581
66.3
822
.13
9.80
30.
0101
0.20
565.
7127
.78
74S
PS
SA
715
2006
13
PbM
g .33
3Nb .
666O
3F
E40
0K
2.49
2.49
2.49
66.3
822
.13
10.0
4976
SP
SS
A7
1818
513
5
PbZ
n .333
Nb .
667O
3*F
E40
0K
2.42
12.
421
2.42
12.
563
2.56
32.
563
66.9
722
.32
9.88
70.
0091
0.20
576.
0229
.26
81R
ef.
2CR
f78
K13
84
Pb 2
KN
b 5O
15*1
FE
723
K2.
3134
2.27
122.
3230
2.44
862.
3883
2.46
2331
3.02
20.8
744
.025
0.01
010.
2326
6.06
26.0
75JA
PIA
U46
2361
12
Tant
alat
esLi
TaO
3*1
FE
938
KF
L89
5K
2.11
562.
1156
2.11
932.
1859
2.18
592.
1902
52.8
517
.62
6.77
70.
0080
0.28
737.
5826
.38
65JA
PIA
U36
1674
11
LiTa
O3*
1F
E93
8K
FL
895
K2.
1167
2.11
672.
1204
2.18
622.
1862
2.19
0452
.85
17.6
26.
781
0.00
790.
2869
7.63
26.5
896
JAP
IAU
8065
611
1
LiTa
O3*
1~m
elt-
grow
n!F
E93
8K
2.11
592.
1159
2.12
032.
1863
2.18
632.
1912
52.8
517
.62
6.77
90.
0080
0.28
717.
5726
.38
77JC
RG
AE
4257
91
1
LiTa
.92N
b .08
O3*
1~m
elt-
grow
n!F
E2.
1263
2.12
632.
1223
2.19
862.
1986
2.19
5052
.97
17.6
56.
823
0.00
810.
2845
7.50
26.3
877
JCR
GA
E42
579
11
LiTa
.81N
b .19
O3*
1~m
elt-
grow
n!F
E2.
1320
2.13
202.
1266
2.20
572.
2057
2.19
8752
.97
17.6
56.
843
0.00
810.
2827
7.48
26.4
877
JCR
GA
E42
579
11
KTa
O3*
1F
E2.
1413
2.14
132.
1413
2.24
252.
2425
2.24
2563
.40
21.1
38.
240
0.01
070.
2789
6.47
23.1
876
JUP
SU
A41
888
11
KTa
.66N
b .34
O3*
FE
2.19
12.
191
2.19
12.
302
2.30
22.
302
63.4
121
.14
8.46
00.
0107
0.26
326.
2923
.88
66JA
PIA
U37
388
13952952 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
SnT
a 2O
6*th
orea
ulite
2.26
82.
309
2.37
22.
388
2.41
82.
499
115.
6416
.52
16.3
620.
0091
0.22
946.
3427
.660
Ref
.10
D39
01
3
La.2
94S
r .706
Al .6
47Ta
.353
O3*
1~s
ynth
etic
-Mat
eika!
1.98
461.
9846
1.98
462.
0256
2.02
562.
0256
57.8
919
.19
6.83
90.
0062
0.34
029.
3327
.43
97JO
BP
DE
1432
991
1
La.2
72S
r .728
Al .6
48Ta
.352
O3*
1~s
ynth
etic
-Hu!
1.98
381.
9838
1.98
382.
0243
2.02
432.
0243
57.7
719
.26
6.82
10.
0062
0.34
079.
3727
.51
01C
PLE
EU
1827
81
1
Nd .
390S
r .610
Al .6
95Ta
.305
O3*
1~s
ynth
etic
-Mat
eika!
1.99
221.
9922
1.99
371.
8212
1.82
121.
8224
56.7
618
.91
6.74
20.
0074
0.45
289.
8821
.81
97JO
BP
DE
1432
991
1
Pb 2
Sc 0
.5Ta
1.5O
6.5
*py
roch
lore
2.29
22.
292
2.29
22.
477
2.47
72.
477
150.
5623
.16
21.0
770.
0139
0.23
485.
1922
.198
CR
TE
DF
3311
91
4
Ba 3
LaTa
3O
12
*2.
100
2.10
01.
972
2.16
12.
161
2.02
126
9.13
22.4
333
.324
0.00
730.
3108
8.27
26.6
86IN
OM
AF
2212
081
3
SbN
b .43T
a .57
O4*
1st
ibio
tant
alite
,pr
obab
lyF
E67
3K
2.26
242.
2835
2.33
442.
3744
2.40
452.
4575
80.2
820
.07
11.2
460.
0095
0.23
506.
3026
.83
06A
JSC
AP
2261
12
SbN
b .69T
a .31
O4*
1st
ibio
tant
alite
,pr
obab
lyF
E67
3K
2.27
972.
2907
2.33
192.
3976
2.41
932.
4592
78.0
319
.51
10.9
660.
0098
0.23
306.
1826
.52
06A
JSC
AP
2261
12
Sul
fate
sN
a 2S
O4*
1th
enar
dite
~syn
thet
ic?!
1.45
731.
4635
1.47
681.
4669
1.47
301.
4809
88.5
722
.14
5.85
50.
0074
0.87
5013
.78
15.7
534
ZE
KR
DZ
8743
11
K2S
O4*
1ar
cani
te~s
ynth
etic
?!F
L?1.
4843
1.48
551.
4879
1.49
341.
4947
1.49
7310
8.76
27.1
97.
453
0.00
640.
8279
14.3
717
.362
Ref
.1
Rf
2742
11
Rb 2
SO
4*1
1.50
311.
5031
1.50
421.
5131
1.51
331.
5144
122.
1330
.53
8.62
60.
0065
0.79
3313
.96
17.5
62R
ef.
1R
f15
671
1
Cs 2
SO
4*1
1.54
741.
5517
1.55
341.
5598
1.56
441.
5662
141.
2835
.32
10.7
580.
0067
0.71
1713
.02
18.3
62R
ef.
1R
f27
421
1
Tl 2
SO
4*1
1.81
241.
8188
1.83
491.
8604
1.86
761.
8857
123.
5630
.89
12.8
630.
0109
0.43
117.
9718
.408
ZE
KR
DZ
4413
81
1
CaS
O 4*1
anhy
drite
1.55
861.
5640
1.60
111.
5698
1.57
551.
6137
76.4
019
.10
6.02
30.
0057
0.67
6913
.74
20.3
011
ZE
KR
DZ
4914
11
SrS
O 4*1
cele
stite
1.60
921.
6109
1.61
741.
6214
1.62
311.
6303
76.7
919
.20
6.37
70.
0053
0.62
5013
.69
21.9
111
ZE
KR
DZ
4914
11
BaS
O 4*1
barit
e1.
6229
1.62
401.
6340
1.63
621.
6374
1.64
8086
.66
21.6
67.
333
0.00
550.
6072
13.2
721
.85
62R
ef.
1R
f40
461
1
PbS
O 4*1
angl
esite
1.84
141.
8465
1.85
661.
8780
1.88
341.
8945
79.5
919
.90
8.47
50.
0078
0.41
409.
2122
.25
11Z
EK
RD
Z49
141
1
PbS
O 4*1
angl
esite
~Mon
teP
oni!
1.84
031.
8451
1.85
601.
8775
1.88
271.
8943
79.5
919
.90
8.46
80.
0079
0.41
469.
1422
.05
23Z
EK
RD
Z58
460
11
Fe 2
~SO
4! 3*
1.70
11.
701
1.69
21.
770
1.77
01.
760
217.
1718
.09
19.9
940.
0206
0.53
076.
4112
.022
JAC
SAT
4419
652
3
Fe 2
~SO
4! 3*
orth
orho
mbi
cin
LBbu
tpr
obab
lym
onoc
linic
1.72
71.
738
1.74
21.
802
1.81
41.
818
205.
8017
.15
19.7
260.
0203
0.49
676.
2612
.622
JAC
SAT
4419
652
3
KLi
SO
4*F
L19
0,90
0,94
0K
1.46
341.
4634
1.46
231.
4722
1.47
221.
4717
98.9
424
.74
6.50
60.
0069
0.87
6814
.26
16.2
629
ZE
KR
DZ
7114
11
1
RbL
iSO
4*1
Pha
seIV
,R
TF
E43
9K
1.47
001.
4718
1.47
001.
4796
1.48
181.
4804
105.
1026
.27
7.00
80.
0074
0.86
0213
.63
15.8
94O
PS
UA
375
473
82
K2M
g 2~S
O4! 3*
1la
ngbe
inite
1.52
431.
5243
1.52
431.
5341
1.53
411.
5341
243.
9720
.33
17.8
290.
0058
0.75
5514
.42
19.0
87S
PH
CA
632
761
1
K2C
o 2~S
O4! 3*
1F
L1.
5886
1.58
861.
5886
1.60
741.
6074
1.60
7424
4.25
20.3
519
.640
0.00
870.
6563
11.0
116
.787
SP
HC
A6
3276
11
K2C
d 2~S
O4! 3*
FL
430
K1.
575
1.57
71.
577
1.59
01.
592
1.59
326
6.89
22.2
321
.095
0.00
750.
6737
11.9
917
.784
SP
SS
A7
2622
221
3
Rb 2
Cd 2
~SO
4! 3*
1F
E12
9K
FL
129
K1.
5795
1.57
951.
5795
1.59
361.
5936
1.59
3627
9.60
23.3
122
.199
0.00
670.
6689
12.6
018
.887
SP
HC
A6
3276
11
Tl 2
Cd 2
~SO
4! 3*
1F
E12
9K
FL
128
K1.
7029
1.70
291.
7029
1.72
961.
7296
1.72
9627
9.96
23.2
625
.915
0.00
840.
5264
10.0
018
.987
SP
HC
A6
3276
11
FeS
O 4O
H*
1.72
71.
734
1.82
51.
783
1.80
51.
917
84.0
216
.80
8.27
00.
0181
0.47
736.
4913
.60
22JA
CS
AT44
1965
23
Li2S
O4•
H2O
*1
1.45
221.
4672
1.47
611.
4615
1.47
651.
4863
103.
6320
.73
6.84
10.
0072
0.87
2513
.87
15.9
67JA
PIA
U38
4365
11
MgS
O4•7
H2O
*1
epso
mite
1.42
251.
4440
1.44
861.
4326
1.45
551.
4607
243.
4722
.13
15.2
690.
0096
0.93
6412
.51
13.3
62R
ef.
1R
f25
331
1
CaS
O 4•2
H2O
*1
gyps
um1.
5094
1.51
131.
5190
1.52
071.
5227
1.53
0412
3.65
20.6
18.
876
0.00
700.
7754
13.2
817
.162
Ref
.1
Rf
2652
11
FeS
O 4O
H•2
H2O
*bu
tlerit
e~s
ynth
etic!
1.55
71.
633
1.68
11.
587
1.67
81.
749
132.
7518
.96
11.1
850.
0180
0.61
677.
4011
.922
JAC
SAT
4419
652
3
Fe 2
~SO
4! 3•7
H2O
*co
rnel
lite
~syn
thet
ic!1.
545
1.55
31.
593
1.57
21.
586
1.64
038
7.47
20.3
930
.072
0.01
720.
6935
8.03
11.5
22JA
CS
AT44
1965
23
NiS
O4•6
H2O
*1
retg
ersi
te~s
ynth
etic!
1.49
731.
4973
1.47
461.
5107
1.51
071.
4870
210.
7221
.07
14.5
370.
0088
0.82
0612
.19
14.8
62R
ef.
1R
f27
371
2
CuS
O 4•5
H2O
*1
chal
cant
hite
~syn
thet
ic!1.
5008
1.52
251.
5288
1.51
401.
5367
1.54
3618
1.27
20.1
413
.100
0.00
850.
7683
12.0
415
.642
SM
PTA
822
11
1
Pr 2
~SO
4! 3•8
H2O
*1
1.52
581.
5348
1.54
501.
5399
1.54
931.
5608
419.
6820
.98
31.2
020.
0082
0.73
6812
.01
16.2
62R
ef.
1R
f17
691
2
Nd 2
~SO
4! 3•8
H2O
*1
1.52
741.
5360
1.54
671.
5412
1.55
031.
5619
417.
5020
.87
31.1
130.
0081
0.73
4712
.07
16.4
62R
ef.
1R
f17
691
2
Sm
2~S
O4! 3•8
H2O
*1.
5288
1.53
691.
5477
1.54
271.
5521
1.56
2941
7.03
20.8
531
.131
0.00
820.
7328
11.9
416
.362
Ref
.1
Rf
1769
12
K2U
O2~S
O4! 2•2
H2O
*1.
499
1.51
01.
545
1.51
41.
527
1.57
129
1.37
24.2
821
.078
0.01
140.
7681
10.3
613
.419
CIW
PAV
298
207
85
K2M
g~S
O4! 2•6
H2O
*1
1.45
001.
4523
1.46
411.
4606
1.46
281.
4754
330.
2023
.59
21.4
070.
0085
0.89
4312
.97
14.5
62R
ef.
1R
f27
431
1
K2F
e~S
O4! 2•6
H2O
*1
1.46
491.
4709
1.48
511.
4757
1.48
211.
4969
332.
6923
.76
22.3
060.
0082
0.85
3912
.89
15.1
13Z
EK
RD
Z52
433
11
K2C
o~S
O4! 2•6
H2O
*1
1.46
951.
4754
1.48
841.
4806
1.48
641.
5001
328.
8823
.49
22.2
150.
0081
0.84
5112
.92
15.2
62R
ef.
1R
f27
431
1
K2N
i~S
O4! 2•
H2O
*1
1.47
241.
4803
1.49
231.
4835
1.49
161.
5050
323.
4023
.10
21.9
980.
0080
0.83
6212
.93
15.4
62R
ef.
1R
f40
881
1
K2C
u~S
O4! 2•6
H2O
*1
1.47
131.
4738
1.48
911.
4835
1.48
631.
5019
327.
5023
.39
22.1
340.
0089
0.84
4312
.32
14.5
62R
ef.
1R
f27
431
1953953REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEO
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
K2Z
n~S
O4! 2•6
H2O
*1
1.46
671.
4720
1.48
441.
4774
1.48
321.
4967
327.
1323
.37
21.9
630.
0082
0.85
2212
.86
15.0
62R
ef.
1R
f27
431
1
Rb 2
Mg~
SO
4! 2•6
H2O
*1
1.45
671.
4583
1.46
711.
4672
1.46
891.
4780
344.
9424
.64
22.5
840.
0082
0.88
2213
.10
14.8
62R
ef.
1R
f27
431
1
Rb 2
Fe~
SO
4! 2•6
H2O
*1
1.47
011.
4760
1.48
591.
4815
1.48
731.
4977
346.
8024
.77
23.4
080.
0082
0.84
5812
.83
15.1
13Z
EK
RD
Z52
433
11
Rb 2
Co~
SO
4! 2•6
H2O
*1
1.47
501.
4806
1.48
971.
4858
1.49
151.
5012
341.
7624
.41
23.2
510.
0078
0.83
6513
.10
15.6
62R
ef.
1R
f27
431
1
Rb 2
Ni~
SO
4! 2•6
H2O
*1
1.47
801.
4845
1.49
321.
4895
1.49
601.
5051
339.
7424
.27
23.2
550.
0081
0.82
9412
.83
15.4
62R
ef.
1R
f27
431
1
Rb 2
Cu~
SO
4! 2•6
H2O
*1
1.47
671.
4785
1.49
101.
4886
1.49
061.
5036
343.
0024
.50
23.3
470.
0085
0.83
5912
.51
14.9
62R
ef.
1R
f27
431
1
Rb 2
Zn~
SO
4! 2•6
H2O
*1
1.47
231.
4771
1.48
571.
4833
1.48
831.
4975
343.
2424
.52
23.2
100.
0081
0.84
3612
.95
15.3
62R
ef.
1R
f27
431
1
Cs 2
Mg~
SO
4! 2•6
H2O
*1
1.47
391.
4743
1.48
021.
4855
1.48
571.
4915
364.
5026
.04
24.5
490.
0082
0.84
8212
.85
15.1
62R
ef.
1R
f27
431
1
Cs 2
Mn~
SO
4! 2•6
H2O
*1
1.48
301.
4847
1.49
031.
4946
1.49
641.
5024
373.
0426
.64
25.5
690.
0081
0.82
7712
.78
15.4
62R
ef.
1R
f27
431
1
Cs 2
Fe~
SO
4! 2•6
H2O
*1
1.48
871.
4917
1.49
741.
5003
1.50
351.
5093
368.
0626
.29
25.5
190.
0079
0.81
4512
.84
15.7
13Z
EK
RD
Z52
433
11
Cs 2
Co~
SO
4! 2•6
H2O
*1
1.49
381.
4967
1.50
101.
5055
1.50
841.
5130
363.
4025
.96
25.3
940.
0078
0.80
5512
.87
15.9
62R
ef.
1R
f27
431
1
Cs 2
Cu~
SO
4! 2•6
H2O
*1
1.49
201.
4934
1.50
241.
5047
1.50
611.
5152
363.
7025
.98
25.3
610.
0084
0.80
7912
.40
15.3
62R
ef.
1R
f27
431
1
Cs 2
Zn~
SO
4! 2•6
H2O
*1
1.49
041.
4930
1.49
711.
5021
1.50
471.
5092
363.
8925
.99
25.2
690.
0079
0.81
2712
.80
15.7
62R
ef.
1R
f27
431
1
Tl 2
Fe~
SO
4! 2•6
H2O
*1
1.57
111.
5866
1.59
181.
5930
1.60
931.
6166
346.
7924
.77
27.6
750.
0108
0.66
409.
9414
.962
Ref
.1
Rf
1572
11
Tl 2
Co~
SO
4! 2•6
H2O
*1
1.57
891.
5942
1.59
961.
6010
1.61
761.
6238
343.
1924
.51
27.6
830.
0105
0.65
349.
9615
.262
Ref
.1
Rf
1571
11
Tl 2
Ni~
SO
4! 2•6
H2O
*1
1.58
471.
6001
1.60
471.
6025
1.61
861.
6225
338.
7824
.20
27.5
380.
0081
0.64
5811
.32
17.5
62R
ef.
1R
f15
711
1?
Tl 2
Cu~
SO
4! 2•6
H2O
*1
1.57
671.
5866
1.59
581.
5997
1.60
971.
6191
344.
0024
.57
27.5
750.
0106
0.65
959.
9515
.062
Ref
.1
Rf
1572
11
Tl 2
Zn~
SO
4!2•
6H
2O*1
1.57
231.
5866
1.59
341.
5930
1.60
921.
6166
342.
8224
.49
27.3
940.
0103
0.66
2710
.16
15.3
10P
PS
AA
M83
211
11
NaA
l~SO
4! 2•12
H2O
*11.
4274
1.42
741.
4274
1.43
871.
4387
1.43
8745
5.43
22.7
827
.938
0.01
010.
9638
12.3
412
.862
Ref
.1
Rf
3797
11
KA
l~S
O4! 2•12
H2O
*11.
4447
1.44
471.
4447
1.45
621.
4562
1.45
6244
9.28
22.4
628
.530
0.00
960.
9199
12.4
013
.462
Ref
.1
Rf
3798
11?
KA
l~S
O4! 2•12
H2O
*11.
4453
1.44
531.
4453
1.45
601.
4560
1.45
6044
9.28
22.4
628
.563
0.00
880.
9183
12.8
814
.033
ZE
KR
DZ
8516
91
1
KC
r~S
O4! 2•12
H2O
1.46
851.
4685
1.46
851.
4813
1.48
131.
4813
453.
5122
.67
30.1
240.
0095
0.86
4612
.10
13.9
62R
ef.
1R
f18
98
1
KF
e~S
O4! 2•1
2H
2O1.
4657
1.46
571.
4657
1.48
151.
4815
1.48
1545
8.89
22.9
430
.325
0.01
180.
8708
10.8
812
.462
Ref
.1
Rf
189
81
KG
a~S
O4! 2•1
2H
2O1.
4538
1.45
381.
4538
1.46
531.
4653
1.46
5345
2.40
22.6
229
.236
0.00
910.
8981
12.5
413
.962
Ref
.1
Rf
189
81
RbA
l~SO
4! 2•12
H2O
1.44
531.
4453
1.44
531.
4565
1.45
651.
4565
458.
7822
.94
29.1
670.
0092
0.91
8312
.62
13.7
62R
ef.
1R
f18
98
1
RbC
r~SO
4! 2•12
H2O
1.46
821.
4682
1.46
821.
4814
1.48
141.
4814
462.
8423
.14
30.7
270.
0098
0.86
5311
.90
13.7
62R
ef.
1R
f18
98
1
RbF
e~S
O4! 2•12
H2O
1.46
621.
4662
1.46
621.
4822
1.48
221.
4822
467.
6023
.38
30.9
290.
0119
0.86
9710
.83
12.4
62R
ef.
1R
f18
98
1
RbG
a~S
O4! 2•12
H2O
1.45
411.
4541
1.45
411.
4657
1.46
571.
4657
462.
0523
.10
29.8
770.
0092
0.89
7412
.50
13.9
62R
ef.
1R
f18
98
1
RbI
n~S
O4! 2•12
H2O
1.45
171.
4517
1.45
171.
4637
1.46
371.
4637
479.
6623
.98
30.8
740.
0096
0.90
3012
.24
13.5
62R
ef.
1R
f18
98
1
CsA
l~SO
4! 2•12
H2O
1.44
731.
4473
1.44
731.
4585
1.45
851.
4585
471.
9423
.60
30.1
210.
0091
0.91
3512
.64
13.8
62R
ef.
1R
f18
98
1
CsC
r~SO
4! 2•12
H2O
1.46
821.
4682
1.46
821.
4809
1.48
091.
4809
477.
2323
.86
31.6
820.
0095
0.86
5412
.07
13.9
62R
ef.
1R
f18
98
1
CsF
e~SO
4! 2•12
H2O
1.46
791.
4679
1.46
791.
4836
1.48
361.
4836
480.
5924
.03
31.8
880.
0117
0.86
6110
.90
12.5
62R
ef.
1R
f18
98
1
CsG
a~SO
4! 2•12
H2O
1.45
341.
4534
1.45
341.
4648
1.46
481.
4648
476.
7223
.84
30.7
850.
0091
0.89
9012
.59
14.0
62R
ef.
1R
f18
98
1
CsI
n~S
O4! 2•12
H2O
1.45
311.
4531
1.45
311.
4652
1.46
521.
4652
492.
3924
.62
31.7
780.
0096
0.89
9712
.24
13.6
62R
ef.
1R
f18
98
1
TlA
l~S
O4! 2•12
H2O
1.48
271.
4827
1.48
271.
4974
1.49
741.
4974
457.
3222
.87
31.1
640.
0102
0.83
4511
.42
13.6
62R
ef.
1R
f18
98
1
TlC
r~S
O4! 2•12
H2
O1.
5060
1.50
601.
5060
1.52
261.
5226
1.52
2646
1.03
23.0
532
.700
0.01
050.
7887
10.9
713
.962
Ref
.1
Rf
189
81
TlF
e~S
O4! 2•12
H2O
1.50
431.
5043
1.50
431.
5234
1.52
341.
5234
466.
0023
.30
32.9
580.
0120
0.79
1810
.26
12.9
62R
ef.
1R
f18
98
1
TlG
a~S
O4! 2•12
H2O
1.49
161.
4916
1.49
161.
5066
1.50
661.
5066
463.
8523
.19
32.1
040.
0100
0.81
6511
.41
13.9
62R
ef.
1R
f18
98
1
Sel
enite
san
dS
elen
ates
LiH
SeO
3*1.
561
1.63
21.
643
1.58
01.
655
1.66
973
.80
24.6
06.
125
0.00
960.
6288
10.2
516
.30
84Z
EK
RD
Z16
924
91
3
K2S
eO4*
1F
E93
K1.
5212
1.52
471.
5301
1.53
521.
5390
1.54
4612
0.10
30.0
28.
791
0.00
840.
7539
12.0
015
.962
Ref
.1
Rf
2744
12
Rb 2
SeO
4*1
1.53
691.
5391
1.54
341.
5515
1.55
381.
5583
133.
2633
.31
9.97
80.
0081
0.72
9411
.98
16.4
62R
ef.
1R
f27
441
2
SeO
4*1
1.58
271.
5830
1.58
341.
5991
1.59
981.
6002
152.
4838
.12
12.1
660.
0078
0.66
4011
.65
17.5
62R
ef.
1R
f27
441
2
Tl 2
SeO
4*1
1.88
341.
8922
1.89
761.
9490
1.95
881.
9636
132.
1933
.05
14.5
800.
0121
0.38
827.
1618
.408
ZE
KR
DZ
4413
81
1954954 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
Oat
om,V
o,
and
mea
nva
lues
ofel
ectr
onic
pola
rizab
ilitie
s^a
e&,
mea
ndi
sper
sion
valu
es ^A
&an
d^B
&ac
cord
ing
toE
q.~3
a!,
and
aver
age
ofEo
and
Ed
acco
rdin
gto
Eq.
~3b!
.S
ourc
ere
fere
nces
use
Cod
ens
from
the
Am
eric
anC
hem
ical
Soc
iety
,C
hem
ical
Abs
trac
tsS
ervi
ceS
ourc
eIn
dex
1907
–19
99C
umul
ativ
e~A
mer
ican
Che
mic
alS
ocie
ty,
Was
hing
ton,
DC
,20
00!.
~Sym
bols
*an
d1
and
num
eric
alva
lues
for
met
hod
and
erro
rca
nbe
foun
dat
the
end
ofth
eta
ble.
!—C
ontin
ued
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&^E
d&Y
ear
Cod
enVo
lP
age
ME
Cs 2
NiS
eO4•6
H2O
*1
1.52
261.
5226
1.49
691.
5391
1.53
911.
5122
220.
8222
.08
15.8
720.
0098
0.77
4411
.22
14.4
62R
ef.
1R
f27
371
2
ZnS
eO4•6
H2O
*1
1.51
321.
5132
1.48
901.
5288
1.52
881.
5036
222.
9222
.29
15.7
880.
0097
0.79
0811
.43
14.4
62R
ef.
1R
f27
371
2
K2M
g~S
eO4! 2•6
H2O
*11.
4832
1.48
551.
4995
1.49
671.
4991
1.51
3834
8.42
24.8
924
.023
0.00
930.
8210
11.8
514
.462
Ref
.1
Rf
2112
11
K2C
u~S
eO4! 2•6
H2O
*11.
4954
1.50
341.
5161
1.50
981.
5182
1.53
1834
5.30
24.6
624
.449
0.00
950.
7909
11.5
314
.523
ZE
KR
DZ
5840
11
Rb 2
Mg~
SeO
4! 2•6
H2O
*11.
4876
1.48
941.
4991
1.50
111.
5030
1.51
3436
3.55
25.9
625
.181
0.00
920.
8156
11.9
014
.562
Ref
.1
Rf
2112
11
Cs 2
Mg~
SeO
4! 2•6
H2O
*11.
5036
1.50
391.
5093
1.51
771.
5178
1.52
3538
5.24
27.5
227
.306
0.00
890.
7894
11.8
915
.062
Ref
.1
Rf
2112
11
KA
l~S
eO4! 2•12
H2O
1.46
661.
4666
1.46
661.
4806
1.48
061.
4806
475.
0423
.75
31.4
440.
0104
0.86
8911
.54
13.2
33Z
EK
RD
Z85
169
51
KA
l~S
eO4! 2•12
H2O
1.46
631.
4663
1.46
631.
4800
1.48
001.
4800
475.
0423
.75
31.4
270.
0103
0.86
9611
.63
13.3
62R
ef.
1R
f18
98
1
Mol
ybda
tes
CaM
oO4*
11.
9287
1.92
871.
9345
1.97
891.
9789
1.98
9178
.03
19.5
18.
871
0.00
880.
3667
8.17
22.2
878
Ref
.7
7-79
11
CaM
oO4*
11.
9432
1.94
321.
9479
1.99
161.
9916
2.00
1278
.03
19.5
18.
963
0.00
830.
3594
8.35
23.2
265
JAP
IAU
3616
741
1?
CaM
oO4*
11.
9367
1.93
671.
9441
1.99
091.
9909
2.00
0578
.03
19.5
18.
927
0.00
910.
3623
7.96
21.9
877
SJO
TB
H44
542
11
SrM
oO4*
11.
8649
1.86
491.
8670
1.90
831.
9083
1.91
3286
.62
21.6
59.
359
0.00
880.
4032
8.54
21.1
765
JAP
IAU
3616
741
1
SrM
oO4*
11.
8628
1.86
281.
8654
1.90
781.
9078
1.91
2586
.62
21.6
59.
344
0.00
910.
4043
8.41
20.8
077
SJO
TB
H44
542
11
CdM
oO4*
12.
1292
2.12
922.
1062
2.21
902.
2190
2.19
1674
.37
18.5
99.
561
0.00
980.
2857
6.84
23.9
477
SJO
TB
H44
542
11
PbM
oO4*
1w
ulfe
nite
2.25
082.
2508
2.17
052.
4152
2.41
522.
2788
89.4
222
.36
12.1
280.
0126
0.25
385.
6722
.35
78R
ef.
77-
941
1
PbM
oO4*
1w
ulfe
nite
2.25
252.
2525
2.18
532.
4061
2.40
612.
2830
89.4
222
.36
12.1
640.
0117
0.25
195.
8823
.33
62R
ef.
1R
f35
31
1
PbM
oO4*
1w
ulfe
nite
2.24
912.
2491
2.17
562.
4103
2.41
032.
2795
89.4
222
.36
12.1
310.
0123
0.25
355.
7422
.62
62R
ef.
1R
f28
101
1
PbM
oO4*
1w
ulfe
nite
2.23
712.
2371
2.16
842.
4090
2.40
902.
2767
89.4
222
.36
12.0
700.
0132
0.25
655.
5721
.72
77S
JOT
BH
4454
21
1
Pb 2
MoO
5*1
2.08
482.
0936
2.19
442.
1885
2.19
652.
3260
137.
9727
.59
17.7
650.
0121
0.28
556.
1521
.570
JOS
AA
H60
1375
12
Bi 6
Mo 2
O15*
2.23
32.
222
2.19
72.
370
2.36
12.
323
366.
5924
.44
49.5
570.
0120
0.25
545.
8422
.874
MR
BU
AC
941
14
Bi 2
Mo 3
O12*
2.16
52.
187
2.26
52.
284
2.32
92.
478
240.
6220
.05
32.3
410.
0139
0.25
915.
4721
.174
MR
BU
AC
941
14
Bi 2
Mo 3
O12*
2.06
52.
047
2.24
52.
210
2.18
22.
424
240.
6220
.05
30.8
910.
0160
0.28
905.
3718
.599
Ref
.15
525
12
Ce 2
Mo 3
O121
1.96
571.
9657
1.95
672.
0347
2.03
472.
0221
0.01
050.
3506
7.29
20.8
023
ZE
KR
DZ
5822
61
1
Nd 2
Mo 3
O121
FL
1233
K1.
9622
1.96
221.
9618
2.01
862.
0186
2.01
6824
6.36
20.5
328
.652
0.00
880.
3509
7.97
22.7
23Z
EK
RD
Z58
226
11?
Gd 2
Mo 3
O12*
1F
E43
2K
FL
432
K1.
8014
1.80
181.
8492
1.84
451.
8449
1.89
8328
9.50
24.1
230
.016
0.01
010.
4346
8.29
19.0
71R
ef.
651
18
1
Gd 2
Mo 3
O12*
1F
E43
2K
FL
432
K1.
7990
1.79
901.
8461
1.84
271.
8427
1.89
6428
9.50
24.1
229
.942
0.01
040.
4365
8.21
18.8
79R
ef.
2BR
f69
N5
11
Tb 2
Mo 3
O12*
1F
E43
5K
1.80
901.
8095
1.85
561.
8538
1.85
421.
9063
286.
1723
.84
29.8
620.
0103
0.42
978.
1719
.086
Ref
.3
155
81
Li.2
86G
d .57
1MoO
4*1
1.99
221.
9922
1.98
382.
0567
2.05
672.
0489
77.4
419
.04
9.17
80.
0095
0.33
817.
5322
.27
77S
PH
CA
622
371
11
Tung
stat
esC
aWO 4*
11.
8816
1.88
161.
8951
1.91
961.
9196
1.93
5978
.10
19.5
38.
580
0.00
740.
3911
9.17
23.4
465
JAP
IAU
3616
741
1
CaW
O 4*1
1.88
121.
8812
1.89
481.
9184
1.91
841.
9347
78.1
019
.53
8.57
70.
0073
0.39
139.
2523
.65
63JO
SA
AH
5312
861
1
CaW
O 4*1
1.88
281.
8828
1.89
581.
9203
1.92
031.
9359
78.1
019
.53
8.58
70.
0073
0.39
059.
2323
.63
77S
JOT
BH
4454
21
1
SrW
O4*
11.
8289
1.82
891.
8368
1.86
181.
8618
1.87
1986
.91
21.7
39.
124
0.00
740.
4247
9.58
22.5
577
SJO
TB
H44
542
11
BaW
O4*
11.
8102
1.81
021.
8077
1.84
261.
8426
1.84
0510
0.90
25.2
210
.386
0.00
760.
4398
9.64
21.9
77S
JOT
BH
4454
21
1
ZnW
O4*
12.
1058
2.12
012.
2475
2.17
672.
1934
2.34
1266
.33
16.5
88.
698
0.00
820.
2747
7.31
26.6
065
JAP
IAU
3616
741
1
ZnW
O4*
12.
1018
2.11
982.
2467
2.17
402.
1925
2.33
8666
.33
16.5
88.
690
0.00
820.
2753
7.32
26.5
864
AP
OP
AI
310
841
1
ZnW
O4*
12.
1026
2.11
642.
2435
2.17
562.
1935
2.34
0366
.33
16.5
88.
681
0.00
860.
2759
7.17
26.0
089
WLH
PA
R38
670
11
PbW
O 4*1
stol
zite
2.16
222.
1622
2.10
092.
2704
2.27
042.
1817
88.9
222
.23
11.5
600.
0104
0.27
906.
5523
.49
77S
JOT
BH
4454
21
1
PbW
O 4*2.
155
2.15
52.
112
2.24
62.
246
2.17
088
.92
22.2
311
.553
0.00
860.
2794
7.23
25.8
797
NIM
AE
R38
520
98
4?
NaY
~WO
4! 2
1.94
1.94
1.94
1.94
1.94
1.95
0.00
090.
3620
25.7
671
.17
72IN
OM
AF
819
578
5?
NaL
a~W
O4! 2
1.93
1.93
1.92
1.94
1.94
1.96
166.
3520
.79
18.8
560.
0038
0.36
9212
.39
33.5
72IN
OM
AF
819
578
5
Chl
orat
esan
dP
erch
lora
tes
NaC
lO3*
11.
5022
1.50
221.
5022
1.51
521.
5152
1.51
5271
.08
23.6
95.
009
0.00
840.
7959
12.3
215
.48
10N
JGA
AY
2953
11955955REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TAB
LE1.
Ref
ract
ive
inde
xan
ddi
sper
sion
data
,lis
ting
refr
activ
ein
dice
s~n
x,
ny,
nz!
atl
5`
,re
frac
tive
indi
ces~n
Dx,
nD
y,
nD
z!at
l5
589.
3nm
,m
olar
volu
me,V
m,
volu
me
per
O-
atom
,VO
,an
dm
ean
valu
esof
elec
tron
icpo
lariz
abili
ties
^ae&
,m
ean
disp
ersi
onva
lues ^
A&
and
^B&
acco
rdin
gto
Eq.
~3a!
,an
dav
erag
eofE
Oan
dE
dac
cord
ing
toE
q.~3
b!.
Sou
rce
refe
renc
esus
eC
oden
sfr
omth
eA
mer
ican
Che
mic
alS
ocie
ty,
Che
mic
alA
bstr
acts
Ser
vice
Sou
rce
Inde
x19
07–
1999
Cum
ulat
ive~
Am
eric
anC
hem
ical
Soc
iety
,W
ashi
ngto
n,D
C,
2000
!.~S
ymbo
ls*
and
1an
dnu
mer
ical
valu
esfo
rm
etho
dan
der
ror
can
befo
und
atth
een
dof
the
tabl
e.!—
Con
tinue
d
Che
mic
alco
mpo
sitio
n,
sam
ple
desi
gnat
ions
n xn y
n zn D
xn D
yn D
zV
mV
o^a
e&^A
&^B
&^E
o&E
d&Y
ear
Cod
enVo
lP
age
ME
KC
lO4*
11.
4640
1.46
471.
4678
1.47
301.
4736
1.47
6890
.96
22.7
46.
009
0.00
680.
8713
14.3
516
.47
26P
PS
AA
M11
146
21
1
RbC
lO4*
11.
4606
1.46
161.
4645
1.46
911.
4701
1.47
3210
0.91
25.2
26.
626
0.00
660.
8786
14.6
416
.626
PP
SA
AM
111
462
11
CsC
lO4*
11.
4661
1.46
961.
4711
1.47
521.
4788
1.48
0411
5.97
28.9
97.
709
0.00
680.
8637
14.2
116
.426
PP
SA
AM
111
462
11
TlC
lO4*
11.
6186
1.62
021.
6288
1.64
271.
6446
1.65
4210
2.10
25.5
28.
590
0.01
000.
6126
9.90
16.1
34Z
EK
RD
Z87
431
1
Sr~C
lO3! 21
1.55
601.
5894
1.60
891.
5667
1.60
451.
6256
134.
3122
.38
10.7
420.
0066
0.66
2812
.69
19.1
62R
ef.
1R
f40
651
1
LiC
lO4•3
H2O
*1
1.47
111.
4711
1.42
811.
4832
1.48
321.
4384
140.
7320
.10
9.14
60.
0090
0.89
3312
.61
14.1
96JA
PIA
U80
6097
52
Bro
mat
esN
aBrO
3*1
1.59
541.
5954
1.59
541.
6168
1.61
681.
6168
75.1
425
.14
6.09
90.
0096
0.64
7110
.39
16.0
510
NJG
AA
Y29
531
1
AgB
rO3
1.78
91.
789
1.83
51.
847
1.84
71.
920
74.5
424
.84
7.63
70.
0149
0.44
366.
9015
.55
31R
ef.
11A
205
23
Ioda
tes
and
Per
ioda
tes
LiIO
3-a
lpha
*1
1.84
141.
8414
1.70
411.
8868
1.88
681.
7390
67.1
822
.59
6.82
80.
0100
0.45
398.
5118
.75
77O
PC
OB
823
279
11
LiIO
3-a
lpha
*1
1.84
391.
8439
1.70
651.
8870
1.88
701.
7394
67.1
822
.59
6.84
40.
0095
0.45
218.
7519
.34
76P
LRB
AQ
1416
931
1
KIO
3-a
lpha
*1
1.66
291.
7831
1.78
551.
6976
1.83
421.
8379
88.9
029
.63
8.59
30.
0124
0.49
417.
9716
.13
96R
ef.
2DR
f87
Y4
11
KIO
3-a
lpha
*1
1.66
271.
7812
1.78
341.
6968
1.83
341.
8363
88.9
029
.63
8.58
10.
0126
0.49
527.
9416
.04
92C
PLE
EU
977
11
KIO
4*1
1.59
171.
5917
1.61
291.
6205
1.62
051.
6476
103.
4625
.86
8.43
60.
0133
0.64
288.
7813
.662
Ref
.1
Rf
466
81
HIO
3*1
5al
pha
iodi
cac
id5
IO2O
H1.
7986
1.90
781.
9248
1.84
361.
9687
1.99
5662
.99
21.0
06.
870
0.01
110.
3986
7.57
18.9
968
AP
PLA
B12
186
11
KIO
2F 2*
1.58
91.
549
1.58
71.
615
1.56
51.
611
105.
1826
.29
8.29
80.
0104
0.67
6110
.22
15.1
74JC
PS
A6
6024
701
3
Chr
omat
esM
gCrO
4•7
H2O
1.54
51.
509
1.48
21.
568
1.55
01.
521
245.
9722
.36
17.6
200.
0209
0.78
007.
739.
931
Ref
.11
A22
82
5
Cs 2
Mg~
CrO
4!2•
6H
2O*1
1.58
671.
5910
1.59
971.
6376
1.64
321.
6555
381.
9527
.28
30.8
760.
0227
0.65
116.
7710
.412
MN
LMB
B16
175
11
Rb 2
Mg~
CrO
4!2•
6H
2O*1
1.57
151.
5782
1.58
761.
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956956 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
of the plot atl5`, givesn`5(111/B)1/2. In Appendix 2,we give alternative forms of this equation. Then` valuesderived from Eq.~3a! are necessary for the correct applica-tion of the Lorenz–Lorentz relation to obtain ion polarizabil-ities. The values ofn` derived in this paper from one-termSellmeier analyses of data from the visible region results inn` that comes only from electronic transitions. Thisn` isdistinctly different from the dielectricn` derived from thedielectric constant«o5n`
2 , obtained in the kHz–MHz regionwhere both lattice vibrations and electronic transitions con-tribute to the dielectric constant. This is shown graphicallyby Tropf et al. ~1995! in their Fig. 1, p. 33.13 and is illus-trated numerically by the value of refractive indices of quartz
where from optical data,n`&51.547, and from dielectricconstant data at 1 kHz,^n`&52.135~Shannon, 1993!.
An alternative form@Wemple and DiDomenico~1971!;Wemple~1973, 1977!# is
n2215EdEo /„Eo22~\v…
2!, ~3b!
where in a single oscillator model\v5the photon energy,Eo5the average single oscillator~Sellmeier! energy gap ineV, andEd 5 the average oscillator strength in eV, whichmeasures the average strength of interband optical transitionsand Ed is related to physical parameters by the expressionEd5bNcZaNe, whereNc is the cation coordination number,Za is the formal valence of the anion,Ne is the effective
TABLE 2. Comparison ofn` values determined by prism methods and reflectivity methods
Compound Space group Prism method Reflectivity Error Ellipsometer Error Interference method Deltaa Delta Delta^n`& ^n`& ^n`& IR-prism ellips-prism Interf-prism
MgF2 P42/mnm 1.3761 1.38 ..01 0.00CaF2 Fm3m 1.4255 1.430 0.01 0.00SrF2 Fm3m 1.4306 1.44 ..01 0.01BaF2 Fm3m 1.4655 1.47 ..01 0.00ZnF2 P42/mnm 1.4963 1.503 0.01 0.01PbF2 Fm3m 1.7248 1.58 ..01 À0.14
1.7272 1.58 ..01 À0.14KMgF3 Pm3n 1.3975 1.43 0.05 0.03KNiF3 Pm3n 1.52 0.05 1.4827 0.04KMnF3 Pm3n 1.4382 1.44 0.01 0.00
1.45 0.05 0.01RbMnF3 Pm3n 1.59 0.05 1.4745 0.12Cu2O Pn3m 2.27 2.54 0.02 0.27
2.55 0.05 0.282.57 0.05 0.30
ZnO 1.9150 1.903 0.003 20.0121.904 1.903 0.003 20.001
EuO Fm3m 1.960 2.30 0.08 0.34Al2O3 R3c 1.7496 1.78 1.7480 0.03 20.002Er2O3 Ia3 1.923 1.95 0.03
1.930 1.95 0.02SiO2 P3121 1.5353 1.538 0.005 0.003GeO2 P42/mnm 1.9546 2.05 0.09
1.957 0.09TiO2 P42/mnm 2.506 2.46 0.02 20.05
2.490 2.46 0.02 20.03ThO2 Fm3m 2.0679 2.20 0.01 0.13
2.07 2.20 0.01 0.13CeO2 Fm3m 2.31 2.36 0.05UO2 Fm3m 2.12 2.35 0.23
2.16Tb3Ga5O12 1.9335 1.932 0.002 20.001Y3Fe5O12 Ia3d 2.1287 2.15 0.02
2.165 2.15 0.02Be2SiO4 R3 1.6448 1.66 0.01 0.02
1.6455 1.66 0.01 0.01Mg2SiO4 Pmnb 1.6365 1.650 0.005 0.014Bi4Si3O12 1.9674 1.9559 0.001 20.011Bi4Ge3O12 2.0267 2.0218 20.005
2.0338 20.012YVO4 I41/amd 2.0055 2.00 0.01 20.01
1.9994 2.00 0.01 0.00PbMg.33Nb.67O3 Pm3m 2.422 2.49 0.07
aBoldfaced values refer to discrepancies greater than experimental values.
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TABLE 3. Inconsistent dispersion values
Compound Mineral Reference
^A& Eo Ed
Accuracy indexa ^A&10216 m2 ~eV! ~eV!
NaF 78 Ref. 7 7-105 96 15.0 11.1 2 highCs2SiF6 35 ZPCBAL 31 292 98 13.4 12.2 3 highNa2GeF6 82 INOMAF 18 570 101 14.4 11.0 2 highCs2GeF6 35 ZPCBAL 31 292 117 11.7 11.8 3 highBaMgF4 75 JAPIAU 46 4645 75 13.8 15.3 3 highCu2O cuprite 79 JJAPA5 18 1043 86 5.5 33.9 5 lowY2O3 91 Ref. 9 1079 126 7.1 18.0 2 highY2O3 91 Ref. 9 1079 62 9.9 25.8 2 lowY2O3 56 ANCHAM 28 2023 53 10.8 27.6 3 lowAs2O3 arsenolite 62 Ref. 1 Rf 2565 87 9.6 19.0 3 lowSb2O3 senarmontite 62 Ref. 1 Rf 204 80 8.0 25.0 5 lowSrB4O7 95 OMATET 4 669 40 14.3 28.2 1 low
Gd.99Nd.01Al3B4O12 98 CHSCBU 43 1973 40 14.0 28.8 1 lowMgAl2O4 ~1.15% Co! spinel 62 Ref. 1 Rf 173 48 13.1 25.4 1 lowSrLaAlO4 96 PSSBBD 195 625 39 12.2 33.6 5 lowGd3Sc2Al3O12 73 JAPIAU 44 1395 66 9.8 24.5 5 highY3Ga5O12 87 Ref. 5 314 80 8.9 22.5 3 highTm3Ga5O12 82 JCRGAE 57 600 70 9.2 24.8 3 highLaEr3ScGa3O12 84 SPHCA6 29 704 42 11.7 32.5 2 lowSrGdGa3O7 91 JOBPDE 8 1668 94 8.7 19.5 3 highY3Fe5O12 65 BJAPJA 16 475 271 4.0 14.8 3 high
SiO2 smoky quartz 97 NJMIAK 11 259 76 12.5 16.9 1 highZrSiO4 zircon 62 Ref. 1 Rf 514 69 9.4 24.6 1 highAl2SiO4F2 topaz 62 Ref. 1 Rf 4071 37 16.3 26.7 1 lowMn2SiO4 tephroite 32 AMMIAY 17 135 98 8.8 18.5 3 high
CaMnSiO4 32 AMMIAY 17 135 90 9.9 17.9 3 highFe1.7Mn.1Mg.2SiO4 fayalite 09 ZEKRDZ 46 138 85 9.2 20.5 1 highZn2SiO4 willemite 23 ZEKRDZ 58 460 81 10.5 18.9 1 highZrSiO4 zircon 03 ZEKRDZ 37 235 64 9.7 25.7 1 highAl2SiO5 sillimanite 62 Ref. 1 Rf 4085 67 11.8 20.3 1 highCa2.7Mg.2Fe.1Al1.8Fe.2Si3O12 grossular 62 Ref. 1 Rf 235 35 15.0 30.7 1 lowCa2CoSi2O7 97 JOBPDE 14 3299 178 7.6 11.8 1 highLi .95Na.05Al .95Fe.05Si2O6 spodumene 13 ZEKRDZ 13 294 51 13.3 23.4 2 lowCaTiSiO5 titanite 97 Ref. 10A 1609 73 9.2 23.8 4 lowCaTiSiO5 titanite 97 Ref. 10A 1609 91 8.3 21.1 2 lowNa4Al3Si3O12Cl sodalite 62 Ref. 1 Rf 2597 65 14.5 17.0 2 lowNa4Al3Si3O12Cl sodalite 97 Ref. 10A 885 98 11.8 13.7 2 highK.9Na.1AlSi3O8 adularia 21 TTMMDZ 35 231 63 14.1 18.0 1 lowKAlSi3O8 microcline 62 Ref. 1 Rf 2966 85 12.2 15.5 1 highBa.93K.04Na.02Al2Si2O8 paracelsian 42 MNLMBB 26 231 87 11.3 16.3 2 highCa3Si2O6~OH!2~OH2!2 afwillite 25 MNLMBB 20 277 44 15.0 24.1 2 lowCa2Al2FeSi3O12OH epidote 62 Ref. 1 Rf 2983 59 11.6 23.4 1 lowCu6Si6O18•6 H2O dioptase 62 Ref. 1 Rf 2889 66 11.8 20.6 1 lowPb9Mg9Si9O24~OH!24 molybdophyllite 38 Ref. 10C 368 80 9.7 20.5 1 lowCa~UO2!~UOOH!~SiO4!~SiO3OH!•4 H2O beta-uranophane 39 AMMIAY 24 324 50 13.4 24.0 3 ?Ca~UO2!~UOOH!~SiO4!~SiO3OH)•4 H2O beta-uranophane 39 AMMIAY 24 324 66 11.8 20.6 3 ?Ba1.99Nd.01ZnGe2O7 90 JOBPDE 7 1190 66 11.0 22.0 3? lowTiO2 rutile 97 OPLEDP 22 1808 152 4.6 23.0 5 highTiO2 rutile 79 JJAPA5 18 1043 84 6.3 30.3 5 lowSrTiO2.929 95 SPHCA6 40 640 87 6.6 28.1 1 lowPbTiO3 ceramic 71 Ref. 6 513 92 5.7 30.5 2 lowPbTiO3 ceramic 77 APOPAI 16 3210 92 5.7 30.6 3 lowThO2 64 OPACAT 11 287 44 10.5 34.5 3 low
RbH2PO4 67 SPHCA6 12 383 107 11.2 13.3 2 highDyPO4 00 OMATET 15 103 57 12.0 23.3 4 lowHoPO4 00 OMATET 15 103 56 12.2 23.5 4 lowErPO4 00 OMATET 15 103 48 13.2 25.4 4 lowTmPO4 00 OMATET 15 103 55 12.3 23.5 4 lowYbPO4 00 OMATET 15 103 48 13.1 25.3 4 low
958958 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
number of valence electrons/anion,b50.26 for ionic com-pounds, andb50.37 for covalent compounds. These param-eters were analyzed for more than 100 compounds by-Wemple and DiDomenico~1971!. The scheme was found towork well for simple single-bond halides and oxides as wellas a number of more complex multibond oxides containingtwo cations of differing coordination. However, it was nec-essary to assume covalent character (b50.37) for scheelite-type molybdates and tungstates and several iodates and car-bonates. In this paper we consider both single-bond andmultibond oxides and fluorides.
In general, dispersion parameters are not identical for lightpolarized along the different axes of uniaxial and biaxialcrystals. This results in dispersion parameters that vary withthe crystal orientation. However, for simplicity in the tables,we list only mean values ofA&, ^B&, ^Eo&, and^Ed&. In thetext following, although we omit the brackets, all values ofA, B, Eo , andEd are understood to be mean values.
When numerical values were given, we have used thosedata to determine the one-term Sellmeier parameters@Eq.
~3a!#. When data were presented in the form of differentSellmeier equations, we used the equations to calculate nu-merical dispersion data for use in Eq.~3a! and when datawere provided only in graphical form, the dispersion datawere taken from these plots.
2.4. Error Limits
Where possible, we have given error limits as reported;when no error limits were reported, we have either stated thator estimated the errors. Following the composition, thesymbol1 refers to compounds with the most reliable refrac-tive indices, generally withdn560.0001– 0.0005. When re-fractive indices are quoted to four decimal places in Landolt-Bornstein, as for example for the many sulfates studied byTutton over the years 1890–1930, we have assumed errorlimits of 60.0001– 0.0005. Estimated error limits are onlyvalid for the refractive index and do not take errors in com-position into consideration. Crystals studied before the early
FIG. 1. Mean dispersion valueA& vs frequency of occurrence. FIG. 2. DispersionA vs average Sellmeier energy gapEo .
TABLE 3. Inconsistent dispersion values—Continued
Compound Mineral Reference
^A& Eo Ed
Accuracy indexa ^A&10216 m2 ~eV! ~eV!
LuPO4 00 OMATET 15 103 54 12.4 23.8 4 lowGdP5O14 87 WLHPAR 36 823 114 9.5 14.6 1 highErP5O14 87 WLHPAR 36 823 27 19.6 30.6 1 lowLi1.93Na.04Mg.02Al2P2O8~F.9OH1.1! montebrasite 46 AMMIAY 31 51 47 14.8 22.9 3 lowY.95Tm.05VO4 93 JAPNDE 32 1651 164 5.7 17.0 3 highCs8Nb22O59 78 JCRGAE 43 115 124 6.1 21.1 5 highBa.75Sr.25Nb2O6 68 JAPIAU 39 343 79 7.2 28.2 4 low
KAl ~SO4)2•12 H2O 62 Ref. 1 Rf 3798 96 12.4 13.5 1 highTl2Ni~SO4)2•6 H2O 62 Ref. 1 Rf 1571 81 11.3 17.5 1 lowCaMoO4 65 JAPIAU 36 1674 83 8.4 23.2 1 lowNd2Mo3O12 23 ZDKRDZ 58 226 88 8.0 22.7 1 lowPbWO4 stolzite 97 NIMAER 385 209 86 7.2 25.9 4 lowNaY~WO4!2 72 INOMAF 8 1957 9 25.8 71.2 5 low
aAccuracy index defined in Table 1.
959959REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
1900s and for which four significant figures are quoted in theoriginal papers are assumed to be measured by prism meth-ods.
3. Results and Discussion
Table 1 provides 73 measurements on 55 fluorides, 9 mea-surements on chlorides, and 750 measurements on 509 ox-ides. In the table we give the specimen composition andsource, the refractive indices atl5` and 589.3 nm, molarvolumeVm, volume per anionVo , electronic polarizabilitiesae, the mean dispersion parameters,A, B, Eo, and Ed ,along with indices that provide an indication of the methodof measuringn, the estimated error inn, the reliability of thecomposition and refractive index data, and source referencein an easily accessible form.
3.1. Comparison of Data Using Different Methods
In Table 2 we compare the results of determinations ofn`
by prism, IR, ellipsometer, and interference methods. In gen-eral, results obtained for prism or interference and IR meth-ods are identical within experimental error. Exceptions arePbF2 , RbMnF3, Cu2O, EuO, GeO2, ThO2, UO2, andPbMg.33Nb.67O3 , as noted by boldfaced values in Table 2.The discrepancy inn`(PbF2) was noted by Axeet al. ~1965!and attributed to an inadequacy of the Lyddane–Sachs–
Teller ~LST! relation. Similarly, the high value forn`(RbMnF3) was noted by Perry and Young~1967!. Thethree IR values ofn`(Cu2O)52.54, 2.55, and 2.57, obtainedfrom the IR measurements, agree reasonably well and areprobably more accurate than the value ofn`(Cu2O)52.27obtained from prism data in LB. This value derived fromdata determined in 1871 appears systematically low com-pared with the IR values and the 643.8 nm value of 2.89determined by Medenbach and Shannon~1997!.
TABLE 4. Dispersion parameters for oxides and fluorides: Transition metal
Compound Chemical composition Mineral Atom~%!a
^A&b ^Eo &c ^Ed &c
10216 m2 ~eV! ~eV! Why low ^A&?
Fe31 3d5 Fe2O3 hematite 40 226 3.6 19.7FeOOH lepidocrocite 33 215 5.0 15.0FeOOH goethite 33 162 5.1 19.3Fe2~SO4!3 12 206 6.4 12.1FeSO4OH 14 181 6.5 13.6FeSO4OH•2 H2O butlerite 33 180 7.4 12.0Fe2~SO4!3•7 H2O cornellite 27 172 8.0 11.6Y3Fe5O12 garnet 25 197–160 4.8–5.3 17.0–19.0MFe~SO4!2•12 H2O M5K,Rb,Cs,Tl 54 120–117 10.3–10.9 12.6Ca3Fe2Si3O12 andradite 10 115–101 7.7–8.1 18.1–19.4Na.87Fe.92Al .05Ti.03Si2O6 aegirine 9 122 8.0 16.5Na.7Ca.2Mg.1Fe.9Si2O6 aegirine 9 114 8.4 16.7
Cr31 3d3 MCr~SO4!2•12 H2O M5K,Rb,Cs,Tl 54 105–95 11.0–12.1 13.8–14.0
Mn31 3d4 Ca3Mn1.95~SiO4!2.1~O4H4!.9 henritermierite 12 105 8.4 18.2
Co21 3d7 Ca2CoSi2O7 8 178 7.6 11.8Sr2CoSi2O7 8 117 9.1 15.0
Ni21 3d8 NiF2 33 198 8.0 10.1MNiF3 M5K,Cs 20 77–71 13.3–13.7 15.7–16.4 F
Eu21 4f 7 Eu2SiO4 - beta 28 162 6.5 15.2
U41 5f 2 UO2 33 264,210 4.2,4.5 14.5,16.7
aAtom % 5~total ‘‘soft ions’’1H2O!/~total cations1anions!.bBoldfaced values ofA& are relatively high.cBoldfaced values ofEo& and ^Ed& are relatively low.
FIG. 3. DispersionA vs average oscillator strength.
960960 SHANNON ET AL.
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
There is a large discrepancy between the EuO prism valueof n51.96 quoted by Wachter~1968! and the IR value of2.30 from Axe ~1969!. An alternative method of decidingwhich of these is more correct is to use the data fromb-Eu2SiO4 along with the additivity rule@Eq. ~2!# where thetotal polarizabilityae(b-Eu2SiO4) is 10.19 A3 ~see Table 1!.Subtracting ae(SiO2)52.803 A3, we arrive at ae(EuO)53.69 A3, which corresponds ton`51.87, much closer tothe prism valuen`51.96 than the IR value.
The large discrepancy between prism and IR data fromGeO2 is probably caused by poor data or IR analysis. This isevident from then`(GeO2) IR values ofno52.02 andne
52.10, which are improbably larger thann`(SnO2) prismvalues of no51.9442 andne52.0449. The IR values ofn`(ThO2)52.20 and n`(UO2)52.33 by Axe and Pettit~1966! are significantly larger than the value of 2.070 ob-tained by Ellis and Lindstrom~1964! for ThO2 and the UO2
value of 2.16 by Ellis~1964! using prism methods. Axe andPettit noted this fact and attributed the discrepancy to aninadequacy of the LST relation. The final example of thedeviation of IR results from prism methods concerningPbMg.33Nb.67O3 where IR data give 2.49~Karamyan, 1976!and prism method results in a value ofn`52.422~Kamzina,1974!. Here the results may be within experimental errorsince the errors were not given.
3.2. Comparison of Dispersion Values
An independent method of checking accuracy is to com-pare dispersion constantsA with values from like com-pounds and from trends in structural families. The value ofAis perhaps as sensitive a test for accuracy as estimated errorsin n. Table 3 shows a number of examples of inconsistencies
in A. Some examples of like-compound discrepancies areCs2SiF6 , Cs2GeF6 , Y2O3, SiO2 , TiO2 , ThO2, BaMgF4,Zn2SiO4 , Mn2SiO4 , Y3Ga5O12, Ca3Al2Si3O12, CaTiSiO5 ,YVO4, CaMoO4, PbWO4, and KAl~SO4)2•12 H2O. Ex-amples of deviations from structural family trends areNa2GeF6 in the M2GeF6 family (M5Na,Rb,Cs!, Y3Ga5O12
in the M3Ga5O12 garnet family ~M5Y,Nd,Dy,Ho,Tm!,Ba.75Sr.25Nb2O6 in the Ba12xSrxNb2O6 family,Tl2Ni~SO4)2•6 H2O in the Tl2M~SO4)2•6 H2O family~M5Fe,Co,Cu,Ni!, and KAl~SO4)2•12 H2O in the alumfamily MAl ~SO4)2•12 H2O ~M5K, Rb!. The samples whichshow values differing substantially from the values in likecompounds and values shown in family trends have beenmarked in Table 1 with a question mark following the accu-racy index, as defined in Table 1.
In the example of Y2O3, the value ofA575310216 m2 isconsistent with accurate RE2O3 values from Sc2O3 (66310216 m2), Lu2O3 (66310216 m2), Yb2O3 (68– 69310216 m2), and Dy2O3(73310216 m2). The measure-ments for the outliers Y2O3 of 125, 62, and 53310216 m2
probably resulted from systematic errors that influenceAmore thann` . The dispersion parameterA for Y.95Tm.05VO4
of 164310216 m2 @Ohtaet al. ~1993!# seems high in light ofthe values of 109 and 102310216 m2 for YVO4 @Kuwanoand Saito~1990!; Medenbach and Shannon~1997!# and 98310216 m2 for Y.98Nd.02VO4 @Lonheim and DeShazer~1978!#. Similarly, the dispersion value for Ba.75Sr.25Nb2O6
of 79310216 m2 seems inconsistently lower than the valuesof 102– 93310216 m2 observed for other members of thefamily Ba12xSrxNb2O6. The value 79 was derived from onlytwo values ofn at 633 and 1050 nm@Venturini et al. ~1968!#;the value at 1050 nm is perhaps out of range of validity forthe Sellmeier equation. Dispersion from eight samples of ti-
TABLE 5. Dispersion parameters for oxides and fluoridesd10
Compound Chemical composition Mineral
Atom ^A&b ^Eo &c ^Ed &c Why low
~%!a 10216 m2 ~eV! ~eV! ^A&?
Cu1 3d10 Cu2O cuprite 67 267b 3.8 15.8CuCl 50 161 6.3 15.9
Zn 3d10 ZnO 50 185–159 5.74–6.09 15.1–16.5ZnWO4 33 86– 82 7.2–7.3 26.0–26.6Zn2SiO4 willemite 28 71 11.1 20.3 SiCa2ZnSi2O7 hardystonite 8 71 11.5 19.7–19.8 Ca, SiBaZnF4 53 67 13.8 17.3 Ba, FCaY1.92Nd.08Zn2Ge3O12 10 67 9.8 24.4 CaZn4O~BO2!6 17 61 11.5 22.7ZnF2 33 59 14.8 18.4 F
As51 3d10 KH2AsO4 16 98–100 10.9–11.0 14.6–14.8RbH2AsO4 16 94 11.3 15.1CsH2AsO4 16 93 11.1 15.4Mn6.5Ca.25Mg.25As2O8~OH!8 allactite 8 81 9.8 20.2 Ca, Mg
I71 4d10 KIO4 17 133 8.8 13.7
aAtom % 5~total ‘‘soft ions’’1H2O!/~total cations1anions!.bBoldfaced values ofA& are relatively high.cBoldfaced values ofEo& and ^Ed& are relatively low.
961961REFRACTIVE INDEX AND DISPERSION
J. Phys. Chem. Ref. Data, Vol. 31, No. 4, 2002
TABLE 6. Dispersion parameters for oxides and fluoridesp6
Compound Chemical composition Mineral
Atom ^A&b ^Eo &c ^Ed &c
Why low ^A&?~%!a 10216 m2 ~eV! ~eV!
Ti41 3p6 TiO2 rutile 33 119–111 5.1–5.2c 26.3–27.4TiO2 anatase 33 119–114 5.4–5.5 24.8–25.5TiO2 brookite 33 107 5.5 27.3Li2Ti3O7 25 122 5.9 22.1CaTiO3 20 120 5.7 23.4SrTiO3 20 131–115 5.5–5.8 22.3–24.0BaTiO3 20 110–109 5.9 24.7–24.9Ba.77Ca.23TiO3 20 115 5.8 23.9PbTiO3 40 112 5.1 28.1MTiOPO4 M5K,Rb 12 133–128 7.6 15.8–16.5MTiOAsO4 M5K,Rb,Cs 12 131–122 7.3–7.5 16.4–17.9CaTiSiO5 12 120–104 7.4–7.7 18.1–20.1Pb1 –xLaxZr1 –yTiyO3 20–16 102–93 5.5–6.1 27.6–29.9Ba2TiSi2O8 fresnoite 8 71 10.5 21.3 Ba
V51 3p6 V2O5 28 264 4.1 14.7YVO4 17 109–95 5.7–7.5 20.9–22.5NaCa2Mg2V3O12 15 119–115 7.3–7.4 18.3–18.7Sr5V3O12F 14 118 7.8 17.4Ca3V2O8 15 114 7.7 18.2GdVO4 16 113–109 6.8–7.0 20.7–21.1
Cr61 3p6 M2Mg~CrO4!2•6 H2O M5Rb,Cs 42 227–244 6.6–6.8 9.9–10.4MgCrO4•7 H2O 61 209 7.7 9.9
Nb51 4p6 Cs8Nb22O59 24 124 6.1 21.1KNbO3 20 109–106 6.3–6.4 23.3–23.4MNbB2O6 M5K,Rb 10 127–117 7.9–8.2 16.0–16.7KTa.66Nb.33O3 20 107 6.3 23.9K3Li2Nb5O15 25 118 6.2 22.1Ba6Ti2Nb8O30 21 102 6.3 24.7Pb2KNb5O15 30 101 6.1 26.1Ba2NaNb5O15 43 98 6.5 25.0Sr4.25Na1.25Li .25Nb10O30 21 101 6.4 24.8Ba1-xSrxNb2O6 22 110–93 6.1–6.6 23.7–25.9LiNbO3 20 91–88 6.9–7.0 25.7–26.1 LiSr2Nb2O7 18 88 7.5 24.3 SrBa3LaNb3O12 31 79 7.6 26.9 BaLaNbO4 17 69 8.4 27.6 La
Mo61 4p6 PbMoO4 wulfenite 17 132–117 5.6–5.9 21.7–22.3Bi2Mo3O12 42 160–139 5.4–5.5 21.1Ce2Mo3O12 42 105 7.3 20.8Gd2Mo3O12 42 104–101 8.2–8.3 18.8–19.1Tb2Mo3O12 42 103 8.2 19.0CdMoO4 33 98 6.8 23.9Li2.86Gd.57MoO4 12 95 7.5 22.3SrMoO4 16 91–88 8.4–8.5 20.8–21.2 SrCaMoO4 16 91–88 8.0–8.2 22.0–22.3 Ca
Ta51 5p6 KTaO3 20 107 6.5 23.2LiTa1-xNbxO3 20 81–79 7.5–7.6 26.4–26.6 LiBa3LaTa3O12 16 73 8.3 26.6 Ba
W61 5p6 PbWO4 stolzite 33 104 6.6 23.5CaWO4 17 73–74 9.2 23.4–23.6SrWO4 17 74 9.6 22.6 SrBaWO4 33 76 9.6 21.9 BaZnWO4 33 82 7.3 26.6
Ba21 5p6 BaO 50 116 7.2 19.2BaBe2Si2O7 barylite 8 96 9.6 17.2BaAl2Si2O8 paracelsian 8 87 11.3 16.3 BaBa2MgGe2O7 17 84 10.1 18.9 Ba
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tanite with a nominal composition CaTiSiO5 showed an un-usually large variation with values ranging from 73 to 120310216 m2. This is perhaps not surprising in light of thepresence of twinning in most samples and a variation incomposition with analyzed compositions ranging fromCa.75Ti1.05Si1.07O5 to Ca1.0Ti0.98Mn0.05Si0.99O5 @Hintze~1897!#. However, we have judged the values of 73 and 91 inCaTiSiO5 from Eisbruckalp in Pfunders, Tirol and Glimmer-schiefer in St. Gotthard to be lower than expected for titan-ites.
Although many of the outliers, such as Cs2SiF6 ,Cs2GeF6 , RbH2PO4, Mn2SiO4 , PbWO4, Gd3Sc2Al3O12,and CaTiSiO5 have lower reported accuracies, others werereported to have good accuracy, i.e.,dn560.0001– 0.0005. Although the dispersion value forCaTiO3 (127310216 m2) quoted from Driscoll and Vaughn7
~Table 1! is consistent with the values ofA from SrTiO3 andBaTiO3 , the values ofn` of 1.5554 and 1.3304 are far toolow. The value ofn` of 2.261 obtained using the Chaulnesmethod by Linz and Herrington~1958! is more reasonable,suggesting either a calculation error or that the value ob-tained by Driscoll and Vaughn7 was from a compound otherthan CaTiO3 .
3.3. Analysis of Dispersion Values
Dispersion valuesA range from;40 to 260310216 m2.Their distribution is shown in Fig. 1. The largest number ofvalues is centered around 60310216 m2 with a second dis-tribution centered around 90– 100310216 m2 and muchsmaller numbers distributed over the range 140– 250310216 m2. For convenience we arbitrarily call the rangefrom 50 to 80 ‘‘normal dispersion,’’ and 80 to 250 ‘‘highdispersion.’’ In this section we make an effort to rationalizethe high dispersion valuesA. As a framework for the analy-sis of dispersion parameters, we use the analysis of Wempleand DiDomenico~1971! and Wemple~1977!. In this schemeA is proportional to 1/EoEd , whereEo5the average singleoscillator energy andEd5the oscillator strength which mea-sures the average strength of interband optical transitions.According to DiDomenico and Wemple~1971!, Ed is relatedto physical parameters by the expression
Ed5bNcZaNe, ~4!
whereNc is the cation coordination number,Za is the formalvalence of the anion,Ne is the effective number of valenceelectrons/anion,b50.26 for ionic compounds, andb50.37for covalent compounds. Using this scheme high dispersionvalues should result for compounds with:
~1! low energy gaps,~2! ionic character,~3! cations having lowNc ,~4! fluoride rather than oxide anions; and~5! cations with lowNe.
DiDomenico and Wemple~1969! and Wemple~1977! con-centrated primarily on optical dielectric constants~refractiveindices! and their relationships to the above variables butthey were not concerned specifically with dispersion, al-though DiDomenico and Wemple~1969! noted that the re-fractive index dispersion is approximately inversely relatedto the average single oscillator Sellmeier gapEo . In thissection we focus primarily on the dispersionA and the rela-tionship to chemical composition and electron configurationof the atoms involved and find that many of the trends inAcan be explained by the above five factors. Wemple and Di-Domenico~1971! and Wemple~1977! showed that low val-ues ofEo are associated with thed10 cations Cu1 and Ag1,and thes2 cations As31, Te41, I51, Tl1, Pb21, and Bi31.
Figures 2 and 3 show plots ofA vs Eo and A vsEd ,respectively. The plot ofA vs Eo shows a better fit to1/Eo than 1/Ed which we interpret to mean that variations inEo are more important in explaining dispersion than varia-tions inEd . We shall analyze this assumption in Secs. 3.3.1–3.3.5. A survey of the dispersion parameters of the com-pounds in Table 1 shows high dispersion valuesA associatedwith certain ions which we call ‘‘soft’’ ions, i.e.,s2, p6, d10
and transition metal ions, H2O, and crystalline hydrates. InTables 4–8 we have listed the dispersion parametersA, Eo ,andEd of compounds containings2, p6, d10, and transitionmetal ions. Normal values of dispersion (A550– 80310216 m2! were found in borates, aluminates, gallates, sili-cates, germanates, phosphates, and sulfates not containing
TABLE 6. Dispersion parameters for oxides and fluoridesp6—Continued
Compound Chemical composition MineralAtom~%!a
^A&b
10216 m2^Eo&
c
~eV!^Ed&
c
~eV! Why low ^A&?
BaO 50 116 7.2 19.2SrO 50 95 8.5 19.9CaO 50 80 9.4 21.2MgO 50 64 11.3 22.0
U61 6p6 Cu~UO2PO4!2 . 8 H2O metatorbernite 40 121 9.2 14.3K2UO2~SO4!2•2 H2O 18 114 10.4 13.5
Ca~UO2!~UOOH!SiO4~SiO3OH!•4 H2O beta-uranophane 33 66 11.8 20.6
aAtom % 5~total ‘‘soft ions’’1H2O!/~total cations1anions!.bBoldfaced values ofA& are relatively high.cBoldfaced values ofEo& and ^Ed& are relatively low.
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any of the above ‘‘soft’’ ions. It appears thatA depends onthe total concentration of ‘‘soft’’ ions where these ions mustbe in concentrations.10% – 15%. This number seems todepend on the ion, being lower for Fe31, Co21, Ti41, andBi31, and higher for Zn21, Nb51, Ta51, Tl1, and Pb21. InTables 4–9 values ofA& in boldface type are relativelyhigh, whereas boldface values of^Eo& and^Ed& are relativelylow.
3.3.1. Transition Metal Ions
Table 4 shows that many of the compounds containing thetransition metal ions Fe31, Co21, Ni21, Eu21, and U41
with A5150– 265 have some of the highest dispersion val-ues of all oxides. Fe2O3 ~hematite!, FeOOH~lepidocrocite!,and Fe2(SO4)3 all have dispersion values greater than 200310216 m2. The high dispersion values in transition metal
TABLE 7. Dispersion parameters for oxides and fluoridess2
Compound Chemical composition Mineral
Atom ^A&b ^Eo&c ^Ed&
c Why low
~%!a 10216 m2 ~eV! ~eV! ^A&?
As31 4s2 As2O3 arsenolite 40 105 8.9 17.3
Sb31 5s2 Sb2O3 senarmontite 40 116 6.8 20.3Na2SbF5 12 142 10.2 11
Te41 5s2 TeO2 33 108-103 6.2–6.3 23.0–24.6
I51 5s2 HIO3 25 111 7.6 19.0MIO3 M5Li,K 20 126–95 7.9–8.8 16.0–19.3KIO2F2 17 104 10.2 15.1
Tl1 6s2 TlCl 50 148 5.6 19.4Tl2SeO4 43 121 7.2 18.5Tl2SO4 28 109 8.0 18.5TlClO4 33 100 9.9 16.2Tl2Cd2~SO4!3 20 84 10.0 19.0
Pb21 6s2 PbMoO4 wulfenite 33 132–117 5.6–5.9 21.7–22.3Pb5Ge3O11 26 132–125 6.3 19.8–20.2Pb2Sc.5Ta1.5O6.5 33 139 5.2 22.1Pb3Al2CaSi10O27•3 H2O wickenburgite 13 127 8.6 14.6Pb5V2.5As.3O12Cl vanadinite 38 126–121 5.6–5.7 22.5–23.1Pb2MoO5 37 121 6.2 21.5PbTiO3 40 112–92 5.1 28.1Pb5As3O9Cl finnemanite 44 111 6.2 23.2Pb5As3O12Cl mimetite 38 107–106 6.8 21.9–22.1PbF2 33 114–125 8.0–8.4 15.9–16.7PbFCl matlockite 33 106 7.0 21.5PbWO4 stolzite 33 104 6.5–7.2 23.5–25.9Pb1-xLaxTi1-yZryO3 40 102–94 5.5–6.0 27.6–29.9PbNb4O11 31 97 6.3 26.2Pb2KNb5O15 30 101 6.1 26.1PbM.33Nb.67O3 M5Mg,Zn 33 101–91 5.7–6.0 27.8–29.3Pb3P2O8 23 96–94 8.0 20.9–21.1Pb5P3O12Cl pyromorphite 24 96 7.6–7.5 22.2–22.4PbHPO4 17 93 8.7 19.6Pb9Mg9Si9O24~OH!24 molybdophyllite 12 80 9.7 20.5 Mg, SiPbSO4 17 79 9.1–9.2 22.0–22.2 SO4PbB4O7 8 62 10.0 26.0
Bi31 6s2 Bi2O3 40 138 4.8 23.9Bi2Mo3O12 29 139,160 5.5, 5.4 21.1, 18.6Bi6Mo2O15 35 120 5.8 22.9Bi12MO20 M5Si,Ge,Ti 36 126–115 5.2–5.4 24.2–25.8Bi4M3O12 M5Si,Ge 21 109–96 6.9–7.6 20.8–22.5BiB3O6 10 93 8.7 19.6
aAtom % 5~total ‘‘soft ions’’1H2O!/~total cations1anions!.bBoldfaced values ofA& are relatively high.cBoldfaced values ofEo& and ^Ed& are relatively low.
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oxides correlate well with values of the parameterEo(4 – 8 eV) and, in general, low values of the parameterEd . Even with relatively low concentrations~10%! of Fe31
rather high dispersion values result. Note that although thereis only 4 at % of Fe in MFe~SO4)2•12 H2O and 8% in cor-nellite, Fe2(SO4)3•7 H2O, the total concentrations of ‘‘soft’’ions (Fe31) and H2O are 54% and 37%, respectively. Simi-larly, in MCr~SO4)2•12 H2O, both Cr31 and H2O contributeto the dispersion. It is apparently not necessary for the ionsto be linked, e.g., compounds with isolated Fe31 such asCa3Fe2Si3O12, Na.87Fe.92Al .05Ti.03Si2O6 ~aegirine!, andM2CoSi2O7 ~M5Ca, Sr! have high dispersion ~A5100– 175!. Hydrates such as FeSO4OH•2 H2O andMFe~SO4)2•2 H2O ~M5K, Rb, Cs and Tl! have higher val-
ues ofEo ~8–10 eV! but because of lowEd ~12–13 eV! asfor other hydrates~see below! still show high dispersion.
3.3.2. d 10 Ions
Table 5 shows the dispersion parameters for compoundscontaining Cu1, Zn21, As51, and I71. Among the oxidesCu2O has one of the highest dispersions (A5267), appar-ently because of the exceptionally low energy gap of 3.8 eV.Among the Zn-containing compounds only ZnO (A5159– 185) and ZnWO4 (A582– 86) have high dispersion.ZnO has both lowEo and Ed (CN5IV), whereas ZnWO4has lowEo but a higherEd caused by CN56 for both Zn andW. Note that the high dispersion of ZnWO4 results from the
TABLE 8. Dispersion parameters for H2O and crystalline hydrates
Compound Mineral
Atom ^A&b ^Eo&c ^Ed&
c Why low
~%!a 10216 m2 ~eV! ~eV! ^A&?
H2O ~liquid! 100 225 9.8 7.2H2O ~ice! 100 152 12.3 8.5H2O ~ice! 100 146 12.6 8.7
Na2HPO4•12 H2O 63 119 11.4 11.7Na2HPO4
. 7 H2O 50 105 12.0 12.7Na4P2O7•10 H2O 43 101 12.1 13.1NaH2PO4•H2O 14 99 11.9 13.6NaH2PO4•2 H2O 25 96 12.3 13.5
MAl ~SO4!2•12 H2O M5Na,K,Rb,Cs 60 101–91 12.3–12.6 12.8–13.8MGa~SO4!2•12 H2O M5K,Rb,Cs 60 91–92 12.5–12.6 13.9–14.0MIn~SO4!2•12 H2O M5Rb,Cs 60 96 12.2 13.6
MSiF6•6 H2O M5Mg,Mn,Fe 43 97–101 13.8–14.3 11.5–11.9MSiF6•6 H2O M5Cu,Zn 43 89 13.7–14.1 12.8–13.1
Cu6Si6O18•6 H2O dioptase 17 94 10.0 17.1
MgSO4•7 H2O epsomite 54 96 12.5 13.4BeSO4•4 H2O 33 95 12.4 13.6CuSO4•5 H2O chalcanthite 45 85 12 15.7LiSO4•H2O 14 72 13.9 15.9 LiCaSO4•2 H2O gypsum 25 70 13.3 17.1 Ca
LiClO4•3 H2O 43 90 12.6 14.1
M2Cu~SO4!2•6 H2O M5K,Rb,Cs 31 84–89 12.3–12.5 14.6–15.3M2Mg~SO4!2•6 H2O M5K,Rb,Cs 31 82–85 12.9–13.1 14.5–15.1M2Zn~SO4!2•6 H2O M5K,Rb,Cs 31 79–82 12.8–13.0 15.1–15.7M2Fe~SO4!2•6 H2O M5K,Rb,Cs 31 79–82 12.8–12.9 15.1–15.8Cs2Mn~SO4!2•6 H2O 31 81 12.8 15.4
Na2B4O5~OH!4•8 H2O borax 35 93 12.5 13.8KB5O6~OH!4•2 H2O 11 88 13.1 13.9CaB3O4~OH!3•H2O colemanite 8 61 13.1 19.8 Ca
32M2~SO4!3•8 H2O M 5 Sm,Pr,Nd 32 81–82 11.9–12.1 16.3–16.4
CsAlSi2O6•2 H2O pollucite 79 12.5 16.1 low H2OCa3Si2O6~OH!2•2 H2O afwillite 13 59 13.1 20.8 Ca
aAtom % 5~total ‘‘soft ions’’1H2O!/~total cations1anions!.bBoldfaced values ofA& are relatively high.cBoldfaced values ofEo& and ^Ed& are relatively low.
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combined presence of Zn21 and W61. All the other Zn-containing compounds have relatively high oscillator ener-gies and therefore lower dispersion. Arsenates which mightbe expected to have low dispersion because of their highEo
have relatively high dispersion resulting from tetrahedralAs51 and lowEd . KIO4 , the only example of an iodate, hashigh dispersion (A5133) because of both lowEo andEd (CN5IV for I 71!.
3.3.3. p 6 Ions
In Table 6 we list the dispersion parameters for titanates,vanadates, chromates, niobates, tantalates, molybdates, andtungstates. All titanium-bearing compounds with.10% Ticontent have high dispersion, and are associated withEo val-ues in the range of 5–8 eV. Between 12% and 33% Ti thereis no obvious concentration dependence. Fresnoite,Ba2TiSi2O8 , the one Ti compound with Ti,10% has normaldispersion.
Similarly all vanadates have high dispersion values withV2O5 having one of the highest values (A5264) and one oflowest values ofEo54.1 eV. Values of the vanadate param-eterEo are similar to those of the titanates, being in the range4–8 eV. Although chromate dispersions are augmented bythe presence of H2O ~see below!, we believe because of theexceptionally high values ofA, the primary contributor tothe high dispersion is the presence of the Cr61 ion. Mostniobates and tantalates have high dispersion but the valuesdepend on the concentration with significantly lower disper-sion for Ba3LaNb3O12 and LaNbO4, whereEo has increasedto 8.4 eV. Tantalates, because of slightly higherEo values,have slightly lower dispersion than niobates, e.g., compareLiNbO3 with A591– 88 and LiTaO3 with A581– 79. Allreported molybdates have high dispersion. Following thesame behavior as niobates and tantalates where thecompounds lower in the periodic table have lowerdispersion, the tungstates have slightly lower dispersionthan the molybdates. Among the uranyl compounds, meta-
TABLE 9. Dispersion parameters associated with ions.Nc is the cation coordination number,Ne the effective number of valence electrons per anion, andZa theformal valence of the anion
Ion
No. of ^A&a ^A&a ^Eo& ^Eo&b ^Ed& ^Ed&
b Ed
Beta Nc Ne Zacompounds 10216 m2 10216 m2 ~eV! ~eV! ~eV! ~eV! ~eV!
mean range mean range mean predictedd10 Cu1 2 161–267 214 4–6 5.0 16 15.9 17 .26 2 16 2
Zn21 8 59–185 91 6–15 9.7 15–26 21.0 17 .26 4 8 2As51 4 81–100 93 10–11 10.8 15–20 16.0 17 .26 4 8 2I71 1 133 133 9 8.8 13.7 17 .26 4 8 2
s2 As31 1 105–111 105 9 8.8 17.3 14 .26 3? 9? 2Sb31 2 95–142 129 7–10 8.5 11–20 15.7 14 .26 3? 9? 2Te41 2 103–119 110 6 6.2 23–25 24.0 19 .26 4? 9? 2I51 4 95–126 110 8–10 8.5 15–19 17.4 18 .26 3? 8? 2Tl1 5 84–148 112 6–10 8.1 15–16 18.3 .26 ;8 10? 2
Pb21 26 62–139 104 6–10 6.9 16–30 23.1 .26 ;8 10? 2Bi31 9 93–160 116 5–9 6.2 20–24 23.1 .26 ;8 10? 2
p6 Ti41 20 71–119 115 5–10 6.2 16–30 22.5 25 .26 6 8 2V51 6 109–264 124 4–8 7.5 15–22 19.6 17 .26 4 8 2Cr61 3 hydrates 209–244 227 7–8 7.0 10 10.1Mo61 8 88–160 107 6–8 7.3 19–24 21.4 17,25 .26 4,6 8 2W61 5 73–104 80 7–10 8.3 22–27 24.2 17,25 .26 4,6 8 2Nb51 15 69–124 99 6–8 6.8 21–26 24.6 25 .26 6 8 2Ta51 3 73–107 86 6–8 7.3 23–26 25.7 25 .26 6 8 2U61 3 hydrates 117 9.8 13–14 13.9 .26Cs1 11 58–107 82 14.9 14–20 17.8Ba21 16 53–116 78 10.9 17–22 17.1
d5 Fe31 12 114–225 159 4–11 6.4 17–20 17.0 19 .26 6 6 2d3 Cr31 4 hydrates 95–105 98 11–12 11.8 14 13.9d7 Co21 2 117 117 8 7.6 12 11.8 19 .26 6 6 2d8 Ni21 3 fluorides 71–198 115 8–14 11.7 10–16 14.1 13 .26 6 6 1f 2 U41 1 264 264 5 4.2 14.5 .26 8 6 2f 7 Eu21 1 162 162 6 6.5 15.1 19 .26 6 2
H2O 1 225 225 9.8 7.2ice 2 146–152 149 12.4 8.6hydrates 73 59–119 90.6 10–14 12.3 11–20 14.4
aBoldfaced values ofA& are relatively high.bBoldfaced values ofEo& and ^Ed& are relatively low.
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torbernite @Cu~UO2PO4)2•8 H2O] and K2UO2(SO4)2
•2 H2O have high dispersion but this high dispersion mayarise partially from the presence of water of hydration.b-uranophane, Ca(UO2)(UOOH)SiO4)(SiO3OH)•4 H2O,containing 4 H2O has, however, normal dispersion.
Cs1 and Ba21 compounds seem to be conditionally ‘‘soft’’ions. A few Cs compounds such as CsB3O5, CsLiB6O10,CsAlSi2O6•x H2O and Cs2SeO4, and Ba compounds suchas BaO, BaBe2Si2O7 , BaAlSi2O8, and Ba2MgGe2O7 havemoderately high dispersion.
3.3.4. s 2 Ions
Wemple~1977! noted the reduced average energy gapsEo
for thes2 ions Tl1, Pb21, and Bi31. We note in Table 7 thatall the lone-pair cations lead to high dispersion. In generalEo
values are low, varying from 5 to 9 eV. The highest disper-sion is observed in TlCl, Na2SbF5 , PbMoO4, Pb5Ge3O11,Pb2Sc0.5Ta1.5O6.5, Bi2O3 , and Bi2Mo3O12. As for othercompounds, the critical concentration of metal ion or combi-nation of ‘‘soft’’ ions appears to be;10%. BothTl2Cd2(SO4)3 (A584) and PbB4O7 (A562) with ;10%metal ions have reduced dispersion.
3.3.5. H2O and Hydrates
DiDomenico and Wemple~1969! and Wemple ~1977!noted the low values of the parameterEd for both liquid H2Oand ice ~9.5 and 8.6 eV, respectively!. We find a slightlylower value for liquid H2O of 7.3 eV. Table 8 shows thatalmost all hydrates have relatively low values ofEd , gener-ally in the range 12–16 eV. Exceptions are diop-tase (Cu6Si6O18•6 H2O), K2UO2(SO4)2•2 H2O, gypsum(CaSO4•2 H2O), and afwillite @Ca3Si2O6(OH)2•2 H2O#.The combination of moderateEo and lowEd results in mosthydrates having relatively high dispersion.
3.3.6. Summary of Effect of Electron Configuration and Eo andEd on Dispersion
Table 9 summarizes the mean and maximum dispersionparametersA, Eo , and Ed along with their range for H2O,hydrates and compounds containing thed10 ions Cu1, Zn21,As51, and I71, the s2 ions As31, Sb31, Te41, I51, Tl1,Pb21, and Bi31, the p6 ions Ti41, V51, Cr61, Mo61,Nb51, and Ta51, and the transition metal ions, Fe31, Cr31,Co21, Ni21, U41, and Eu21. High dispersion (A5;140– 250) is especially noticeable for H2O and the ionsCu1, Zn21, I71, Sb31, V51, Cr61, Fe31, U41, andEu21 and for the compounds having a high concentration ofH2O and these ions: liquid H2O, ice, CuCl, Cu2O, ZnO,KIO4 , Na2SbF5 , V2O5, Fe2O3, FeOOH, Fe2(SO4)3 ,FeSO4OH, Y3Fe5O12, UO2, and b-Eu2SiO4 . In additioncompounds containing combinations of these ions and others
associated with slightly lowerA values have high dispersion:PbMoO4, Pb2MoO5, Pb2Sc0.5Ta1.5O6.5, Pb5V2.5As.3O12Cl,Bi2Mo3O12, and Bi6Mo2O15.
As noted in Sec. 3.3, dispersion is controlled by the com-bined effects ofEo andEd. It is apparent from Fig. 2 that thelow Eo values associated with these ions go a long way to-ward explaining the high dispersion values of compoundscontaining these ions. Note for example the low energy gapsassociated with compounds containing Cu1, Te41, Bi31,Ti41, Fe31, U41, and Eu21.
However, it is clear that not only is lowEo necessary forhigh dispersion but alsoEd must be reasonably low. Al-though the plot ofA versusEd shows a poorer fit to 1/Eo
than 1/Ed , the effects ofEd can be clearly seen in manycases. The effects of formal valenceZa can be seen in lowEd
and the relatively high dispersion of CuCl, Na2SbF5 , TlCl,and NiF2 caused by loweredEd and the effects of cationcoordination can be observed in Cu2O, ZnO, arsenates,vanadates, iodates, molybdates, and the ions As31, Sb31,Te41, and I51. As we have shown above, all hydrates have arelatively low Ed . The effects of water of hydration are ap-parent in the high dispersion of FeSO4OH•2 H2O,Fe2(SO4)3•7 H2O, Cs2Mg(CrO4)2•6 H2O, MgCrO4
•7 H2O, Pb3Al2CaSi10O27•3 H2O, and Cu(UO2PO4)2
•8 H2O.It is tempting to try to complement this rationalization of
high dispersion values by correlating observed and calcu-lated values ofEd with dispersion. Using the Wemple andDiDomenico~1971! scheme for calculatingEd for single ioncompounds, it is not possible to calculateEd for most com-pounds in Table 1 because of uncertainty over what to usefor: ~1! covalency;~2! Ne for s2 and certaind10 compounds;and~3! cation coordination when there are two or more cat-ions with differing Nc , i.e., YVO4, CaTiO3 , CaMoO4,Y3Fe5O12, and more complex compounds such as crystallinehydrates. Indeed, Wemple and DiDomenico noted that thescheelite compounds MMoO4 with M5Ca, Sr, and Pb didnot fit the scheme withb50.27. On the other hand Wemplefound that ‘‘anion radical’’ groups such as phosphates, sul-fates, selenates, and chlorates resulted in good agreementbetween observed and calculatedEd but that a good fit wasobtained for the iodates HIO3 and LiIO3 only by usingb50.42– 0.44. We have comparedEd values calculated usingthe properties of the anion groups such as BO3
32 , BO452 ,
PO432 , VO4
32 , SO422 , SeO4
22 , MoO422 , and WO4
22 andfind that the counter ion almost always has an effect onEd .These uncertainties added to those aboutNe andNc make itdifficult to rely on calculatedEd values in the majority ofmultiion compounds. Thus, we make only the very generalobservation that the presence of H2O, halide ions, and cat-ions with low CNs such as Cu1, Zn21, As31, As51, Sb31,Te41, I51, V51, and Mo61 sometimes contribute to lowerEd and therefore higher dispersion.
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4. Acknowledgments
We gratefully acknowledge the use of the libraries at Uni-versities in Bochum, Bremen, Mainz, and Boulder, Coloradofor the literature search. We are especially indebted to Th.Armbruster, G. E. Jellison, and G. R. Rossman for criticalreviews of the manuscript, to H. Fluck of the Gmelin Insti-tute in Frankfort for the use of their library, E. Tillmanns forobtaining some of the earlier mineralogical references fromthe University of Vienna and Dr. U. Kalepky for use of thelibrary of the Schott Glaswerke in Mainz. We are also grate-ful to H. Spetzler and J. Smyth for encouragement and sup-port at CIRES/CU. We thank E. Eggers for the final format-ting of the manuscript. Finally, one of us~R.D.S.! is indebtedto the Humboldt Foundation for financial support.
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6. References for Tables 1 and 3
Ref. 1: Landolt-Bo¨rnstein,Band II. Teil 8. Optische Konstanten, edited by K.H. Hellwege and A.M. Hellwege~Springer, Berlin, 1962!.
Ref. 2A: Landolt-Bornstein,New Series, Group III. Crystal and Solid State Physics, Vol. 2, edited by K.N. Hellwege and A.M. Hellwege~Springer,Berlin, 1969!.
968968 SHANNON ET AL.
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Ref. 2B: Landolt-Bo¨rnstein,New Series, Group III. Crystal and Solid State Physics, Vol. 11, edited by K.N. Hellwege and A.M. Hellwege~Springer,Berlin, 1979!.
Ref. 2C: Landolt-Bo¨rnstein,New Series, Group III, Crystal and Solid State Physics, Vol. 16a, Oxides, edited by K.N. Hellwege and A.M. Hellwege~Springer, Berlin, 1981!.
Ref. 2D: Landolt-Bo¨rnstein,New Series, Group III, Condensed Matter, Vol. 30, edited by D.F. Nelson~Springer, Berlin, 1996!.Ref. 3: S. Singh, inCRC Handbook of Laser Science and Technology, edited by M.J. Weber~Chemical Rubber Co., Boca Raton, FL, 1986!, Vol. III,
Sec. 1. 1, p. 1.Ref. 4: M.J. Dodge, inCRC Handbook of Laser Science and Technology, edited by M.J. Weber~Chemical Rubber Co., Boca Raton, FL, 1986!, Vol.
IV, Pt. 2, Sec. 1.1.1.2, p. 26.Ref. 5: L.G. DeShazer, S. Rand, and B. Wechsler, inHandbook of Laser Science and Technology, edited by M.J. Weber~Chemical Rubber Co., Boca
Raton, FL, 1987!, Vol. V, Sec. 1, p. 307.Ref. 6: S. Singh, inCRC Handbook of Lasers, edited by R.J. Pressley~Chemical Rubber Co., Cleveland, OH, 1971!, p. 513.Ref. 7: W.G. Driscoll and W. Vaughn,Handbook of Optics~McGraw–Hill, New York, 1978!, pp. 7–94.Ref. 8: V.G. Dimitriev, G.G. Gurzadyan, and D.N. Nikogosyan,Handbook of Nonlinear Optical Crystals~Springer, Berlin, 1991!, p. 77.Ref. 9: Handbook of Optical Constants of Solids II, edited by E.D. Palik~Academic Press, Boston, 1991!, p. 1059.Ref. 10A: C. Hintze,Handbuch der Mineralogie, Band II. Silicate und Titanate~Verlag Veit & Co., Leipzig, 1897!.Ref. 10B: C. Hintze,Handbuch der Mineralogie, Band I. Abteilung 4~Walter De Gruyter & Co., Berlin, 1933!.Ref. 10C: C. Hintze,Handbuch der Mineralogie, Erganzungsband I. Neue Mineralien~Walter De Gruyter & Co., Berlin, 1938!.Ref. 10D: C. Hintze,Handbuch der Mineralogie, Erganzungsband II. Neue Mineralien und Neue Mineralnamen~Walter De Gruyter & Co., Berlin,
1960!.Ref. 11A: A.N. Winchell,The Microscopic Characters of Artificial Inorganic Solid Substances or Artificial Minerals~Wiley, New York, 1931!.Ref. 11B: A.N. Winchell and H. Winchell,The Microscopic Characters of Artificial Inorganic Solid Substances, Optical Properties of Artificial
Minerals ~Academic Press, New York, 1964!.Ref. 12: H.J. Weber~personal communication, 1995!.Ref. 13: M.J. Weber,CRC Handbook of Laser Science and Technology~Chemical Rubber Corp., Boca Raton, FL, 1995!.Ref. 14: O. Medenbach~unpublished data, 2000!.Ref. 15: V. Marinova and M. Veleva, inThin Film Materials and Devices: Developments in Science and Technology. Proceedings of the 10th
International School on Condensed Matter Physics, Varna, Bulgaria, Sept. 1–4, 1998~World Scientific, Singapore, 1999!, pp. 525–528.
7. Appendix 1. List of Codens
CHEMICAL ABSTRACTS SERVICE SOURCE INDEX1907–1999~CASSI6 1907–1999!AACELAZ Acta. ElectronicaACPHAA Ann. Chim. Phys.AFSLAO AufschlussAJSCAP Am. J. ScienceAMMIAY Am. Mineral.ANCHAM Anal. Chem.APHYCC Appl. Phys. v1~1973!–v25~1981!APOPAI Appl. Opt.APPLAB Appl. Phys. Lett.BBJAPAJ Br. J. Appl. Phys.~1950–1969! see J. Phys. D.CCHSCBU Chin. Sci. Bull.CIWPAV Carnegie Institution of Washington PublicationCPLEEU Chinese Phys. Lett.CRTEDF Cryst. Res. Technol.~formerly Krist.
Tech. - KRTEAW 1966–1980!FFEROA8 FerroelectricsHHAMBA6 Hamberger Beitr. Z. Angew. Mineralogie u.
Kristallphys.
IIEJQA7 IEEE J. Quantum Electron.
INOMAF Inorg. Mater.~Eng. transl.!
JJACSAT J. Am. Chem. Soc.
JACTAW J. Am. Ceram. Soc.JAPIAU J. Appl. Phys.~formerly Physics 1937–!JAPNDE Jpn. J. Appl. Phys., Part 1~1982–!JCDTBI J. Chem. Soc., Dalton Trans.
JCOMEL J. Phys. Condens. MatterJCPSA6 J. Chem. Phys.JCRGAE J. Cryst. GrowthJJAPA5 Jpn. J. Appl. Phys.~1962–1981!JNOMFV J. Nonlinear Opt. Phys. Mater.JOAOD6 J. Opt. Soc. Am. A~1984–!JOBPDE J. Opt. Soc. Am. B~1989–!JOAOF8 J. Optics A: Pure Appl. Opt.JOPQAG J. Phys.JOSAAH J. Opt. Soc. Am.~1917–1983!JPCRBU J. Phys. Chem. Ref. DataJPCSAW J. Phys. Chem. SolidsJPSOAW J. Phys. CJRNBAG J. Res. Natl. Bur. Stds.~1934–!JSSCBI J. Solid State Chem.JSTCAM J. Struct. Chem.~Eng. transl. of Zh. Strukt.
Khim!JUPSUA J. Phys. Soc. Jpn.KKRTEAW Krist. Tech.~1966–1980! now Cryst. Res.
Technol.MMNLMBB Min. Mag.MRBUAC Mater. Res. Bull.NNIMAER Nucl. Instrum. Methods ANJGAAY Neues Jb. Mineral. Geol. Pala¨ont. Beilageband
Abt. A.
969969REFRACTIVE INDEX AND DISPERSION
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NJGAAY Neues Jb. Geol. Pala¨ont., Abh. Abt. A.~1925–1950!
NJGMA2 Neues Jb. Geol. Pala¨ont., Monatsh.~1950–!NJMIAK Neues Jb. Mineral., Abh.~1950–!NJMMAW Neues Jb. Mineral., Monatsh. 1950–OOMATET Opt. Mater.~Amsterdam!OPACAT Optica Acta.OPCOB8 Opt. Commun.OPLEDP Opt. Lett.OPSUA3 Opt. Spectrosc.PPAOAE1 Pure Appl. OpticsPHBCDQ Physica B and CPHRVAO Phys. Rev. v1~1893!–v132~1963!PKOMA3 Phys. Kondens. Mater. v1~1963!–v16~1973!PLRBAQ Phys. Rev. B: Solid State~1970–1978!PMABDJ Philos. Mag. B.PPSAAM Proc. Phys. Soc. London, Sect. A.PPSBAP Proc. Phys. Soc. London, Sect. B.PRBMDO Phys. Rev. B: Condens. Matter~1978–!PRVAAH Phys. Rev., Sect. A. v133~1964!–v140~1965!PSISDG SPIE Opt. Thin Films Applicat.~1990!
~Proc. SPIE!PSSABA Phys. Status Solidi A~1970–!PSSBBD Phys. Status Solidi B~1971–!RREKEDA Rev. Laser Engineer. Jpn.~Reza Kenkyu!SSJOTBH Sov. J. Opt. Tech.~Eng. transl. of
Opt.-Mekh. Promysh.!SJQEAF Sov. J. Quantum Electron.SMPTA8 Schweiz. Mineral. Petrogr. Mitt.SPHCA6 Sov. Phys. - Crystallogr.~Eng. transl. of
Kristallogr.!SPHJAR Sov. Phys. - JETP.SPSSA7 Sov. Phys. - Solid State~Eng. transl. - Fiz.
Tverd. Tela Leningrad!SSCOA4 Solid State Commun.TTTMMDZ Tschermaks Min. Petr. Mitt.
WWLHPAR Wuli Xuebao5Acta Physica Sinica~Chinese!ZZAPHAX Z. Angewandte PhysikZEKRDZ Z. Kristallogr.ZEPYAA Z. Phys.~1920–1974!ZMGPAS Zbl. Mineral. Geol. Paleont., Abt. AZPCBAL Z. Phys. Chem., Abt. BZPSBAX J. Appl. Spectrosc.5Zh. Prikladnoi Spek-
troskopy
8. Appendix 2. Alternative Forms of theSellmeier Equation
The general form of the Sellmeier equation is usuallygiven as
n2511(j
Ajl2
l22l j2
with the wavelengthl of the incident light, and the wave-lengthsl j with the corresponding constantsAj representingthe wavelengths of maximum absorption at several absorp-tion bands. The refractive indices used in the current workare sufficiently approximated using a one-term Sellmeierequation with wavelengthsl far distant from the immediateregion of the absorption band atlo , thus yielding
n2511Aol
2
l22lo2 .
Rearranging this equation gives
1
n22152
lo2
Aol2 1
1
Ao
and finally
1
n22152
A
l2 1B
@Eq. ~3a!# with A5 lo2/Ao and B5 1/Ao or lo
25A/B. TheconstantAo is related to Eq.~3b! by the expressionEd
5Ao•Eo .
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