tables of 3pacings for angle 20 cuka, cukt*!, cukot2, … · i , tables op d spacings for angle 20...

22
CIRCULAR 29 UNITED STATES DEPARTMENT QF TKt >'- J. A. Krug, INTERIOR . GEOLOGICAL SURVEY W. E. Wrather, Director '31 ' ' ' August 1948 TABLES OF d 3PACINGS FOR ANGLE 20 CuKa, CuKt*!, CuKot 2 , FeKa, FeKa lt FeKa 2 By George Switzer, Joseph M. Axelrod, Marie L. Lindberg, and Esper 8. Larsen 3d OB

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CIRCULAR 29

UNITED STATES DEPARTMENT QF TKt>'-J. A. Krug,INTERIOR

. GEOLOGICAL SURVEY W. E. Wrather, Director '31' ' '

August 1948

TABLES OF d 3PACINGS FOR ANGLE 20 CuKa, CuKt*!, CuKot2 , FeKa, FeKalt FeKa2

ByGeorge Switzer, Joseph M. Axelrod, Marie L. Lindberg,

and Esper 8. Larsen 3d

OB

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TABLES OP d SPACINGS FOR ANGLE 20

CuK<* FeKa

CuKa . FeKa

, BySwitzer, Joseph M. Axebrod, Marie L. Lindberg,

and Esper S. Larsen 3d

These tables differ from previously available tables in two ways: (1) d values have been calculated as Angstrom units rathe"? than kX units, and (2) d values have been calculated for an average Ka wave length foi? values of 0 up to 75°.

Calculation in terms of true Angstrom units has been made possible by use of the x-ray wave lengths agreed upon at the July 1946 conference of the X-ray Analysis Group of the Institute of Physics (Great Britain). Because the adoption of the revised wave lengths has also been recommended by the American Society for X-ray and Electron Diffraction, it. is desirable that kX units (1A = 1.00202 kX) no longer be used for calculations of this sort.

The average values of Ka for copper and iron were used in calculating the average d values because the lines due to Kai and Ka% are not "resolved until the high angle region of a Debye-Scherrer type diffraction pattern is reached* It is therefore more convenient to have a table calculated for the average wave lengths for angles up to 0 « 75°. For high angles (6 r 45° ( to 9 = 87.5°) separate tables are given for Kai and Kao for copper and iron.

The following wave lengths have been ilsed^ for calculating these tables:!/

CuKa « 1.5418A

= 1.54050A

FeKa 1.9373A

1.93597&

CuKa2 = 1.54434& FeKa2 a 1.939S1A., .

The d spacings have been tabulated in terms of 20 in order to facilitate their use with powder cameras having an effective diameter of 114.59 mm. With 114.59 mm. diameter cameras, centerHo-liae N measurements on the film in millimeters are equal to the angle 20, hence the d spacings may be lookfed . up directly from the film measurements. If cameras having a diameter of 57.3 mm. are being used, the film distance in millimeters must ,be > doubled.

As a check on accuracy, each table has been calculated completely and independently twice; la - > the calculations, seven-place tables of natural trigo­ nometric functions were used, and the calctilafeetl values rounded off to five significant figures;

For a complete list of the new x-ray, wave lengths, see either the Jqur.-a Instr.. Jan. 1947. p. 27; or America Mineralogist, vol. 32, p. 292, 1847.

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