scoping estimates of the ldef satellite induced radioactivity · 2013-08-30 · a : m k = e scoping...
TRANSCRIPT
a :
m
k =
E
Scoping Estimates
of the
LDEF Satellite Induced Radioactivity
Scietce Al_ications International _tion
An Employee-Owned Company
by
T. W. ArmstrongB. L. Colborn
Report No.SAIC-90/1462
INu
r
Work Performed for
NASA Marshall Space Flight CenterSpace Science Laboratory, Astrophysics Division
Huntsville, AL.
Contract No. NAS8 - 38427
September 1990
Route 2, Prospect, Tennessee 38477
https://ntrs.nasa.gov/search.jsp?R=19910006743 2020-04-28T22:21:24+00:00Z
r
m
i
!l
II
B
B
mmB
m
II
m _
I
IL
zmmi
m
m
if_[]
i
m iiii !
IB
Table of Contents
1. Introduction ........................................................................................ 1
2. Calculational Method .............................................................................. 6
3. Results of Transport Calculations ............................................................... 12
w
4. Approximate Estimate of Activation Anisotropyand Comparison with LDEF Data ............................................................... 18
5. References .......................................................................................... 22
L_
w
Appendix A
Appendix B
Appendix C
Appendix D
Appendix E
Appendix F
Sources of LDEF Ionizing Radiation Exposure
Dose Response Functions
Activation Cross Sections
Additional Fluence Results
Additional Dose Results
Results for Radioisotope Production from Stainless Steel
D
W
J
J
I
II
I
m
iIg
lie
W
mB i
gl '
U
o
m!
m
i
w,
Lw
1. Introduction
The Long Duration Exposure Facility (LDEF) satellite was recovered in January 1990 after
almost six years in space. LDEF was well-instrumented with ionizing radiation
dosimeters, including thermoluminescent dosimeters (TLD's), plastic nuclear track
detectors (PNTD's), and a variety of metal foil samples for measuring nuclear activation
products, l In addition, the induced radioactivity produced in various spacecraft
components provides information on the radiation exposure. 2 Analysis of these LDEF
data by several groups is in progress under coordination of the LDEF Ionizing Radiation
Special Investigation Group:
The extensive LDEF radiation measurements (Fig. 1) provide the type of radiation
environments and effects data needed to evaluate and help resolve uncertainties in present
ionizing radiation models and calculational methods (Fig. 2). The LDEF data are
particularly important to improving models for addressing radiation issues associated with
Space Station Freedom since LDEF had the same altitude range (_. 350 - 500) and orbit
inclination (28.5 °) as planned for the Space Station. In conjunction with the LDEF data
analysis, a calculational program has been established at the NASA MSFC to provide
calculational support to aid in LDEF data interpretation and to utilize LDEF data for
assessing the accuracy of current models. A summary of the calcuiational approach is
given in Fig. 3. The present report describes some initial results from this LDEF
calculational study.
The purpose of the calculations reported here is to provide some initial results to aid in the
LDEF data interpretation -- namely, to obtain a general indication of: (a) the importance of
different space radiation sources (trapped protons, galactic protons, albedo protons, and
albedo neutrons), (b) the importance of secondary particles, and (c) the spatial dependence
of the radiation environments and effects expected within the spacecraft. These are only
seoping estimates because several important approximations have been made in this initial
work -- e.g., a one-dimensional (aluminum slab) model of the LDEF spacecraft is used,
and the angular variation of the incident radiation (particularly the trapped proton
anisotropy) is not accurately simulated. Subsequent calculations are planned which will
remove these approximations.
The calculational method (described in Sec. 2) uses the High Energy Transport Code
(HETC) 4 to estimate the importance of different sources and secondary particles in terms
Fig. 1. Ionizing radiation measurements aboard the LDEF satellite.
Radiation Quantity Dosimeters Employed
Total Absorbed Dose
Dose in MicroscopicVolumes
LET Spectra
Neutron Fluence & Spectra
Heavy Ion Fluence & Spectra
Proton l_uence & Spectra
Trapped Proton Direcfiona/ity
i
TLD's(a)
Microspheres
PNTDCO)
Fission Foils, Activation( c)
PNTD
PNTD, Activation(c)
TLD's, Activation(c)
(a)
Co)
(c)
Thermoluminescent Dosimeters
Passive Nuclear Track _t___rs _
ActiV_onma_eriaisinclude specific me'samples for activation meas_ements (e.g,
Ni, Co, V, Ta) and selected spacecraft components (e.g., Al structure, stainless steeltrunions)
Him
I
lira
R
n
II
roll
W
I 2
m
k
m
mwm
m
m
iI
2
m
lit
Iill
r
=
!
v)
-J
0 Q
ra_
o_
G)';=> 0
"_-_ -_,
__oi_._._o._ _m-'2
l"cE _
_ _-_
o-!?_ •
_.,
|
"1" ',* _ _ , ,
(,'3
,,_.0
o__
u r_
m
"_ t: >,
_o.c
x VLI_ v
.=
m
w
r_
e_
E
3
4
_#
w
of fluence, absorbed dose in tissue and silicon, and induced radioactivity as a function of
depth in aluminum. Radioisotope production from aluminum and stainless steel is
computed for varying aluminum shielding thicknesses. Results from these transport
calculations are given in Sec. 3.
3 ¸
!
w
As indicated earlier in Fig. 2, the LDEF spacecraft had a fixed orientation, which allows
measurement of the trapped proton anisotropy in the South Atlantic Anomaly region
because the anisotropy is not "averaged out" by spacecraft motion as is usually the case. A
model describing this anisotropy has been developed recently by Watts, et al. at MSFC. 5
LDEF data should enable a definitive test of the model, and detailed transport calculations
using a 3-D spacecraft model and anisotropic trapped proton spectra are planned to compare
with the LDEF data. However, the induced radioactivity very near the spacecraft surface
should be relatively insensitive to spacecraft geometry, and some approximate 1-D
calculations have been made of the anisotropy of near-surface activation and comparisons
made with preliminary LDEF data. These preliminary anisotropy comparisons are given in
See. 4.
5
rli
r_
Wl
g
m
m
w
g
z
m
ill
R
mz
I
Im
m
m
B
U
U _
mm
J
m
t
m
i
IIIR
nlB
u
2. Caiculationai Method
Radiation transport calculations have been performed to obtain Scoping estimates of the
depth dependence of fluence, dose, and induced radioactivity produced in the LDEF
spacecraft due to ionizing radiation exposure.
The radiation sources considered are trapped (Van Allen belt) protons, galactic protons, and
"albedo" neutrons and protons emanating from the earth's atmosphere due to cosmic ray
bombardment. The source spectra used as input for the transport calculations are shown in
Fig. 4, and the procedure used in estimating these spectra is described in Appendix A.
(The trapped electron spectrum is shown in Fig. 4 for comparison only. Since the trapped
electrons axe of low energy and produce effects very near the spacecraft surface, they are
not considered in the transport calculations here.)
h •
w
Spectra for the different sources were assumed incident isotropically on one side of a slab
of aluminum 100 g/cm 2 in thickness. This is, of course, an important approximation, not
only because it neglects the 3-D shielding effects of the spacecraft but also because the
actual angular distribution of the incident radiation is very different for the different
sources, as illustrated in Fig. 5.
The transport calculations were carried out using the SAIC version 6 of the HETC code. 4
This code uses Monte Carlo methods to obtain a detailed simulation of the radiation
transport (Fig. 6). At each nuclear collision during the transport process, a calculation of
particle transport inside the nucleus is performed using a high-energy intranuclear-cascade-
evaporation (ICE) model 7 to obtain the multiplicity, direction, and energy of all secondary
particles (Fig. 7). For low-energy neutron (< 20 MeV) transport the high-energy ICE
model is not applicable, but various experimental data libraries and transport codes are
available in this low-energy region. For the calculations here, the low energy neutron
source computed by HETC is coupled to the MORSE Monte Carlo s code for low-energy
neutron transport (Fig. 8).
The main output obtained from the transport calculations is depth-dependent fluence
spectra. These spectra are folded with the response functions given in Appendix B to
estimate the absorbed dose in tissue and silicon as a function of aluminum shielding
thickness. While HETC provides radionuclide production directly as a natural outcome of
6
1 013
" 1011
10 9
10 7
10 5
10 3
101
; t = ;;;_;] i t J J===,l
ir
-r
-r
-r
I I ; 1 I Ill I I
I ! I xl IIII I
Trapped Protons
10 1 10 o
DIFFERENTIAL Spectra
(Cummulative over LDEF Mission)"I
!-
I-
1-
!-
Albe_ _
J [ ,,=_,1 , , , ,,,,,I = j , =,,,,I , =I = = =_,,I , _ , ,,,,=!
1 01 1 0 2 1 0 3 1 0 4 1 05
Energy (MeV)
1010 -
10 9 -
_ 10 8
_ 10 7
-- 10 6
10 5
10 4 L A , ....... I ...... I ,
1 01 1 0 2 1 0 3
Energy (MeV)
:- 'I '" _ i _ J t It I = i , , , ,,, I i _ ' ' _ *''1 _ ' '
INTEGRAL Spectra
--- _Protons (Cummulative over LDEF Mission) -
Galactic Protons
Albedo Neutrons ', \ Albedo Protons
I
I l I I I l l i I I i I I I i [ i i
10 4 10 5
Fig. 4. LDEF exposure to ionizing radiation. Shown are cummulafive, orbit-average differential and
integr_ fiuence spec_a over _e 5.8 yr. duration of file LDEF nfission.
7
m
m
W
I
m
m
mI
m
U
m
m
m
J
I
i
m
i
i
W
i
===iW
II!
E
_==i
Mi
il
E
w
TrappedProtons
ZENITH
tGalactic Protons
(conehalf-angle= 110° at 450 kin.)
i
Atmospheric Neutrons
(conehalf-angle= 70°at 450 km.)
TrappedProtons
m
Fig. 5. Illustration of the nonuniform angular variation of LDEF exposure to ionizing radiation. Trappedproton exposure occurs in the South Adantic Anomaly region where the flux is highly anisotropic at LDEFaltitudes, with protons confined mainly in planes perpendicular to magnetic field lines and with in-plane
asymmetry due to the East-West effect. Galactic protons are blocked out from below by the shielding effect ofthe earth. The angular distribution of albedo neutrons emanating from the earth's atmosphere is also
geometrically constrained clue to earth shielding.
Input
I Nuclear Data Files
* partlcle-partlcle crosssections [ n-p, p-p, etc. )
• nuclearmasses
Target ConflguraUon ]• geometry (1-D. 2-D. 3-D]* materials (arbitrary)
Sour_ Description
partlcle.type.: _ distribution
• angular distribution• svaUal distribution
Fig. 6.
I!IIHlgh Energy Transport Code
Geometry Modules
• 3-D combinatorial• 3-D surfaces* special purpose I-D
"Physics" Modules
Nuclear CollisionModel I i
• intranuclear cascade
evaporationhtgh-ener_ fissionheavy projectile algorithm
: elastic scattering
Atomic Collision Model
• ionization•range s_gl_g• multiple scatterlr_
Transport Algorithms'!
* partmles transported:- p. d. t..... (A._10)- high-energy neub'ons- plons,muor_
.-...J
Overview of the High Energy Transport Code (HETC).
m
tJl
m
mm
m
iW
PROTON
Atomlc __L .Spa, ation.____ inter.Nudear Casted e _-Pr0c6moses
oIonization
° Coulomb Scattering J J _#,j
P
I c.... / = vForwardDirected
(n,p, d, t3He, _,7)Evaporation Approx. IsotropicEmission(or Fission)
mm
I Residual Nucleus
(Stable or Radioactive)
7 .';" t#_ii_.:.-.:.:__!_i{.-<'::;, ?_tiii__i_i:#i!-!i:-"
Fig. 7. Illustration of the two-step intranuclear-cascade-evaporation model used in the HETC transport
code for computing secondary particles from high-energy Cspalladon") nuclear collisions.
9
I
U
lib
II
m
W
mm
II
i
m
u
tammmm
m
=1
i
m
nm
w
m
m
Q
i
III
Jb
II I
I C •
,p
C)
LJ .:._?_?._._
J
ci=
it !
i! !'
c
°1n | ,
i
ai
II
m
f
t_L_f
6
Z
W
(I!,t ]ti
\ J
@
I
i
1=
/=
@
IO
the ICE model calculation, the statistical accuracy is generally poor when the product
nucleus mass is far removed from the target nuclear mass. Since large target-product mass
differences are of interest in the present problem (e.g., 7Be from Fe in stainless steel), we
have used an alternate procedure in which the I-IETC (and MORSE) computed fluence
spectra are folded with available activation cross sections to estimate radionuclide
production. Radioisotope production from aluminum and stainless steel were calculated
using the cross sections given in Appendix C.
I
w
II
u
m!
m
!I
m
I
m
m
11
m
m
mI
i
II
u
u
3. Results of Transport Calculations
Results from the transport calculations are arranged to show the contributions of different
radiation sources and the contribution of secondary particles in terms of various effects. A
summary of the results are given in this section, with additional results given in
Appendixes D-F. The table below is a guide to the location of various results in the report.
Fluence Tissue Silicon Aluminum S. SteelFluence _ Dose Do_ _ Activation
• Radiation SourceContribution Fig. 9 App. D Fig. 10 Fig. 10 Fig. 11 App. F
• Secondary ParticleContribution App. D App. D App. E -- Fig. 12 App. F
The spatial dependence of the results are in terms of the areal density depth in aluminum
from 0 to 100 g/cm 2. To roughly relate these thicknesses to LDEF, the spacecraft diameter
is 32 g/cm 2, and the length is 68 g/cm 2. (This is based on an average density obtained
from the overall dimensions of 14 ft. diameter x 30 ft. long, a spacecraft structure weight
of 8,000 lb., and a weight of 13,400 lb. for the experimentsl.)
m
FIuence
Figure 9 compares the proton and neutron fluences (over all energies) for all sources. For
the trapped proton environment, the fluence from secondary neutrons exceed the proton
fluence for penetration depths _> 10 g/cm 2. The magnitude, and spatial dependence, of
secondary neutrons from galactic protons is comparable to the secondary neutrons from
trapped protons.
Dose
Figure 10 compares the importance of different sources in terms of the absorbed dose in
tissue and in silicon. The trapped proton source dominates for penetration depths <_5 0
g/cm 2. The albedo sources contribute at most a few percent. Additional results for
secondary particle contributions to the absorbed dose are given in Appendix E.
12
"- 0 0 0
(_.wo) eouenl..-Iuo!ss!R -13C17
13
Q
g
>_-__
,__
_._
-- [!
0
0
i
!
m
m
i
mg
I
I
i
!W
w
i
w
m
iW
m
m
mm
u
m
mRI
Ill
==l,=
u
8v
14.LLI
C_
103
102
101
10 °
10 -1
10 "2
0
Trapped Proton Source
0
Source
A/bedo Proton Source
,&
Albedo Neutron Source
20
Contribution to Dose by Source
Absorbed Dose In Tissue.... Absorbed Dose in Silicon
40 60
Depth in Aluminum (g / cm2 )
8O 100
w
100%
810%
i
i%
Trapped Proton Source
Ga/actic Proton Source:
Per Cent Contribution by Source
Absorbed Dose in Tissue.... Absorbed Dose in Silicon
Neutron
" Proton Albedo SourceI
i
0 20 40 60 BO 100
Depth in Alumlnun, ( g / cm 2 )
Fig. I0. Impocumce of various radiation sources in terms of absorbed dose in _sue and silicon forthe total dose over the duration of the LDEF mission (top graph) and as a per cent of the total dose at
each depth from all sources (bottom graph).
14
Activation
Figure 11 compares the contribution of different sources to _Na and to 7Be production
from aluminum. The galactic source contribution exceeds the trapped source contribution
for depths _ 50 g/cm 2 for 22Na production and > 25 g/cm 2 for 7Be production. The
relative importance of the galactic source, which has a harder spectrum, is expected to be
higher for the higher threshold activation products, which is consistent with these 7Be
vs. _Na results. Figure 12 shows that for the trapped proton source and the case of 22Na
production the secondary neutron contribution becomes important at depths _ 30 g/cm 2 .
W
mB
Results from calculations of radioisotope production in stainless steel are given in
Appendix F.
I
w
g
m
J
mm
u
m
I
11
I
15
i
L
106 ' I ' I ' 1 ' I ' I ' I ' I • I ' I '
_, 22Na from AI
104Albedo Neutron Source
- _ Al_o Proton Source
103 _ J _ I , I .... _ I J I J I , I _ I a I ,0 20 40 60 80 100
Depth in Aluminum (g / cm 2)
105
_-- 104
103
102
Trapped Proton Source
7Be from AI
Galactic Proton Soume
Albedo Neutron Source
A/bedo Proton Source
0 20 40 60 80 100
Depth it1Alumi_rn _ g / _ 2
Fig. 11. Importance of different sources in terms of 22Na and 7Be production from aluminum.
The production is normalized for the total lifetime of the LDEF mission.
16
gJ
1_ [_ ' I ' I ' I ' 1 ' I ' _t ' I ' I ' I ' _
"_ 22Na from AI ]
10
10 2 , _ J _. I _ | J I ., J , J , J ,.. J J- J ,0 20 40 60 80 00
Depth in Aluminum (g / cm 2 )
w
IBII
I
mll
!
m
BI
II
BII
100%
90%
80%
"_ 70%
i 60%
50%40%
30°/°
20%
c 10%8
o%
primary protons
22 Na from AI
Trapped Proton Source
0 20 40 60 80
Depth in Aluminum ( g / cm 2 )
secondary neutrons
Fig. 12. Contribution of secondary particles in producing 22Na from aluminum by incident
trapped protons; top graph for production over LDEF mission, bottom graph as percentage oftotal production from primary and-secondary particles by tra_ pr0tons.
17
100
mmt
Ill
m
II
=--
!1
ii
Bl
am
mm
m
i!
l
R
gl
i
=1
m
o Approximate Estimate of Activation Anisotropy
and Comparison with LDEF Data
We consider here the directional dependence of induced radioactivity near the LDEF
spacecraft surface due to anisotropy of the trapped proton exposure.
The results for 22Na production from aluminum shown previously (Figs. 11 and 12)
based on a 1-D geometry (with irradiation from one side) indicate that the dominate
production mode near the surface is from primary gapped protons. While for the actual
spacecraft geometry there may be some contribution from radiation entering the "opposite
side", we neglect this contribution for now and assume a 1-D geometry model of
effectively infinite thickness.
We have used anisotropic trapped proton spectra based on the Watts, et al. 5 model (Fig.
13) and modified the 1-D MSFC straight-ahead proton transport code of Burrell Il to
compute activation products (using the activation cross sections of Appendix C) and to
estimate the anisotropy of 22Na production at small depths in aluminum. The results
(Fig. 14) show a West/East anisotropy ratio for 22Na production that varies from about
a factor of 2 near the surface to a factor of 3.5 at 10 g/cm 2 depth.
These results are compared in Fig. 15 with recent preliminary measurements by Harmon, et
al. 1° for the 22Na activation of LDEF aluminum clamp plates. (These plates are
relatively thin, 1.29 g/cm 2, and located on the surface of the spacecraft.) Based on an
approximate fit we have made to the data points (Fig. 15), the measured West/East
anisotropy is 1.8 compared to a calculated ratio of 2.0. In comparing absolute
magnitudes, the calculations are higher than the measurements by about 30% for directions
in the vicinity of East, and higher by about 50% for directions in the vicinity of West.
18
!
u_
iIll
Ill
II
A
6O
.i
i
12
v
i</)x
,'1-
i0-1
10 "2
10 -3
10 -4
10-5
Anlaotropy of Trapped Proton Spectra
) '*" i i c i i 1 , | 1 , ,
Spectrum Looking West
Spectrum Looking East
10 -6 _ ' ' ' .... 1
101 102 103
Proton Energy (MeV)
100
¢n
10 _ .
3
rn
Fig. 13. (Top) Predicted anisotropy of trapped proton flux > 100 MeV , from Re£ 9, using theanisotopy model of Watts, et al 5 (Bottom) Trapped proton spectra in a differential solid anglelooking West and looking East and the West/East ratio of the two spectra. Both graphs for orbit-average spectra (283 ° inclination, 450 kan.altitude, solar minimum).
19
M
iw
m
m
B
m
!
I
w
IB
M
i
w
u
w
L :
5
.> e-•_._o ,4<_
2
Predicted Directionality of 22Na Production in Aluminum Due to Trapped Proton Anisotropy
Orbit Parameters:
• 450 kin., circular• 28.5 ° inclination
• solar minimum
• 5.8 yr. mission
4._; _ : I I I
EastL I
0 = 45 •
0.01
North West SouthI I I I I I
90 ° 135 ° 180 ° 225 o 270 ° 315 °
Angle from East
5.0
: : -_ 10.0
. EastI
360 °
m
w
4.0 - Magnitude of Predicted 22Na Activation DirectionalityBased on 1- D LDEF Spacecraft Model
3.5C
._ 3.0b
2.5
2.0
1.5 [ i I , [ = I i I i . I i I . I , 1 . I
1 2 3 4 5 6 7 8 9 10
Dep_ in Aluminum (g / cr_
Fig. 14. Approximate calculation of 22Na acfivadon of aluminum from LDEF exposure to trapped protons in the
South Atlantic Anomaly using a I-D spacecraft model. The anisotropy of the trapped proton spectra ts taken into
account using the model of Watts. et alS. The top graph shows the depth dependence of the activation as a function
of angle in the horizona] plane (90 ° from zenith) perpendicular to the spacecraft axis. The bottom graph shows the
predicted increase in directionality with depth in terms of the activation on the West vs. East side of the spacecraft.
20
m
i
I,
22Na Activation of LDEF Aluminum clamp Plates
8 / ' ' I ' ' I , , i , , 1 , , i , , I " ' I ' '
• Measured (Preliminary);Harmon, et al., MSFCApprox. CalculationUsing MSFC Anisotropy Model of Watts, et al. i
_, 7 (1-D LDEF Geometry Model, 0.64 g/cm 2 Depth, 450 km.)
LL_
|
e- c 3
2(. I
1
East North West South East iI , = I = , I , , I l , I = J I I l I , i I i , I
#
00° 45° 90° 135° 180° 225 ° 270 ° 315° 360 °
Angle from LDEF Leading Edge (East) i
w
BIB
Fig. 15. Comparison of approximate calculations for 22Na activation of LDEF aluminum Clamp plates (used on outer
surface of spacecraft to secure experimental trays) with the preliminary measurements of Harmon, et al.10 The
calculated activation is at the mid-depth (0.64 g/cm 2) of the clamp and based on a : -D model of the spacecraft. The
measured anisotropy (activation on West vs. East side of spacecraft) based on the aproximate data fit shown is 1.8;the calculated anisotropy at this depth is 2.0.
21
!
IR
i
_=
i
--..2
t =
w
.
o
.
.
.
,
o
.
.
10.
11.
5. References
Lenwood G. Clark, William H. Kinard, David J. Carter, Jr., and James L. Jones,
Jr., "The Long Duration Exposure Facility (LDEF), Mission 1 Experiments", NASA
SP-473, 1984.
G. J. Fishman, T. A. Parnell, and B. A. Harmon,,_'Long Duration Exposure Facility(LDEF) - Induced Radioactivity Analysis Plan , Proc. LDEF Ionizing Radiation
Special Investigation Group Meeting, NASA Marshall Space Flight Center,December 1989.
T. A. Parnell, "Overview of LDEF Ionizing Radiation SIG", Proc. LDEF Ionizing
Radiation Special Group Meeting, NASA Marshall Space Flight Center, December1989.
T. W. Armstrong and K. C. Chandler, "The High-Energy Transport Code HETC",
Nucl. Sci. Engr. 49, 110 (1972).
J. W. Watts, T. A. Parnell, and H. H. Heckman, "Approximate Angular Distribution
and Spectra for Geomagnetically Trapped Protons in Low-Earth Orbit"; SanibelIsland, FL 1987 Conf.: "High-Energy Radiation Backgrounds in Space", A. C.Rester, Jr., and J. I. Trombka (Eds.), AIP Conf. Proc. 186, Am. Inst. Phys., New
York, 1989.
T. W. Armstrong and B. L. Colborn, "A Thick-Target Radiation Transport Code forLow Mass Heavy Ion Beams, HETC/LHI", Nucl. Instr. Meth. 169, 161 (1980).
T. W. Armstrong, "The Intranuclear-Cascade-Evaporation Model", Chapter 20 inComputer Techniques in Radiation Transport and Dosimetry, Walter R. Nelson andTheodore M. Jenkins (Eds.), Plenum Press, New York, 1980.
E. A. Straker, P. N. Stevens, D. C. Irving, and V. R. Cain, "The MORSE Code - A
Multigroup Neutron and Gamma-Ray Monte Carlo Transport Code", ORNL-4585,
September, 1970.
T. W. Armstrong, B. L. Colborn, and J. W. Watts, "Trapped Proton Anisotropy",Minutes of SSF Ionizing Radiation Working Group Meeting, NASA Marshall Space
Flight Center, May 1-3, 1990.
B. A. Harmon, G. J. Fishman, and T. A. Parnell, "LDEF Induced Radioactivity
Analysis", Proc. LDEF Ionizing Radiation Special Investigation Group Meeting,
NASA Marshall Space Flight Center, July 1990.
Martin O. Burrell, "The Calculation of Proton Penetration and Dose Rates", NASA
TM X-53063, August 1964.
V
22
ul
II
m
II
IV
IR
m
II
II
II
_ k_iz _ _ , ml
II
zzt
m
II
!
I
_ _ i • _!_i_m
!m
I
m
m
iI
u_wl
mmmlU
Appendix A
Sources of LDEF Ionizing Radiation Exposure
uTrapped Protons (Omnidirectional)
The omnidirectional trapped proton spectrum calculated by Watts t was used as the trapped
proton source for the HETC transport calculations. These spectra are based on the
AP8MIN and AP8MAX trapped proton environment models 2 and the IGRF 1965.0 80-
term magnetic field model projected to 1964, the epoch of the proton models. The
cumulative flux over the duration of the LDEF mission was estimated by Watts by
performing orbit average calculations (28.5 ° inclination, circular) at altitudes of 258.5,
255.0, 249.9, 230.0, and 172 nautical miles, which took place on mission days 0, 550,
1450, 1950, and 2105. A linear variation is assumed between time points. At altitudes of
230 and 170 nautical miles, the solar maximum model (AP8MAX) was used, with the solar
minimum model (AP8MIN) usedfor other altitudes.
The resulting omnidirectional, altitude-average differential and integral cumulative trapped
proton flux spectra over the duration of the LDEF mission are shown in Fig. A- 1. For the
one-dimensional transport calculation, one-half of this fluence was assumed to be incident
isotropically on one side of the slab of material. While isotropy is a reasonable
compromise for use in a one-dimensional approximation, the actual angular distribution is,
as shown in the Sec. 4, highly anisotropic.
Trapped Electrons
The trapped electrons are of such low energy that they contribute significantly to the dose
only at small penetration depths (< 0.5 g/cm 2) (Ref. 1) and do not contribute at all to
radionuclide production. Thus, transport calculations for trapped electrons have not been
made here, but the trapped electron spectra are given in Fig. A-2 for comparison with
trapped protons. These trapped electron spectra were computed by Watts I using the
AE8MIN and AE8MAX trapped electron environment models 3'4 and the same mission-
averaged method as for the trapped protons given above.
A-1
Galactic Protons
For the galactic proton spectrum we start with the analytic fit given by Adams, et al. 5 for
the exomagnetospheric, time-dependent spectrum, which at solar minimum and solar
maximum reduces to ............... _:
F(E) = 10 m (E/117500) a
where m = 6.52 exp{- 0.8 (logl0E) 2} - 4.0
a = -2.2{ 1 - exp [-b (logl0E) 2"75])
b = 0.1 !7 at solar minimum and b = 0.079 at solar maximum. Here F has units of protons
m'2 steradian" 1 MeV x and E is in MeV. This fit to the galactic Spectrum (multiplied by
4x steradians, converted to cm "2, and multiplied by the LDEF mission duration of 2114
days) is shown as the "exomagnetosphere" spectrum in Fig. A-3. "
I
tim
Ill
mmtim
mm
,7
To take into account the effect of geomagnetic shielding at the LDEF orbit, we have used
the geomagnetic field "transmittance fraction" given in Adams, et al.6 for 30 ° inclination at
400km altitude, which is based on the cosmic ray trajectory tracing calculations of Shea
and Smart for effective geomagnetic cutoffs over a world-wide, longitude-latitude grid at
400 km altitude and the orbit averaging method of Heinrich and Spill 7. This fraction of the
exoatmosphedcgalacticprotons transmitted through the geomagnetic field is sh6wn fia Fig.
A-4, and the result of applying this transmission factor to the exomagnetospheric spectrum
gives the curves labeled "LDEF orbit" in Fig. A-3.
Another factor influencing LDEF's exposure to galactic protons is the shielding effect of
the earth's "shadow". The solid angle occulation is
__ 2ST _ :
An=2x{1-[(Re+h) 2-Ri]It2/(Rea , e+h)}
where Re is the earth's radius (6371 km) and h is the orbit altitude. For an average LDEF
altitude of about 450 km, A D./4x = 0.32. Thus, 32% of the 4x solid angle is blocked by
the earth, and the incident proton directions are within + 110 ° about the zenith direction. In
the transport calculations, the incident galactic proton flux was assumed incident
isotropically over 5:90 ° about the target surface normal.
A-2
mz
II
m
I
2
===.
It
ZI
!
The galactic proton integral and differential energy spectra over the LDEF mission duration
are given in Fig. A-5.
Albedo Protons*
Secondary protons produced in the earth's atmosphere by cosmic rays can escape upward
as "splash albedo" and become trapped in the earth's magnetic field when the proton energy
is below the geomagnetic cutoff. These protons are guided by the field to impact with the
atmosphere in the hemisphere opposite to their formation, providing a "re-entrant" albedo.
The splash albedo spectrum has been measured by several balloon flights at different
latitudes. In particular, Wenzel, et al.s and Pennypacker, et al 9 measured the albedo
spectrum in the 4 MeV to 1 GeV energy range at about 4 g/cm 2 residual atmosphere over
Palestine, TX (42 ° N geomagnetic latitude, 4.5 GV geomagnetic cutoff). Measurements of
the proton albedo by the Cosmos-721 satellite (polar orbit, 210-240 km) have been
reported by Kuznetsov, et al.10 For a 4.5 GV cutoff they find a similar spectral shape as
for the balloon flights but a factor of 4 higher intensity, which Kuznetsov, et al. attribute as
possibly due to the dffferent angular distribution of albedo protons at satellite vs. balloon
altitudes.
For the splash albedo calculations in the present work we have used a fit to these satellite
and balloon measurements, with the magnitude of the balloon data increased by a factor of
4 and the reported measurements per steradian multiplied by 2Ir to obtain an
omnidirectional flux. These data and the fit used are shown in Fig. A-6, with the fit being
= 0.00113 exp (- 0.0095E), 10 < E < 115 MeV
= 0.79 E - 1.61 115 < E < 2000 MeV
where _ has units cm -2 s- 1 MeV - 1 This differential flux multiplied by the LDEF
mission duration, together with the corresponding integral fluence, is shown in Fig. A-7.
* We wish to thank J. Adams, Naval Research Laboratory, for providing background material on albedoproton measurements.
A-3
w
Neutron Albedo
Some of the neutrons produced in the earth's atmosphere by cosmic-ray
bombardment escape the top of the atmosphere to constitute a neutron albedo. Several
measurements and calculations of the neutron albedo near the top of the atmosphere have
been made -- e.g., Fig. A-8. The results of Fig. A-8 are for the upward moving flux at 45
km altitude, 42 ° N geomagnetic longitude, and solar minimum. We have fit the calculated
spectrum as:
_(E) = 0.047E" 2.88,i0 5 < E <0.1
= 0.40 exp (- 0.97E), ........... O:!:_:E <!:0 ..........
where _ has units cm'2 s" 1 MeV-1
- 0.15 E" 1.34 1.0 < E < 10
= 0.0086 exp(- 0.tN5E),+ 0.0021 exp(- 0.0085E), 10 _< E < 200
= 1.95 E 1.61 200 < E N 3000
arid E is in MeV.
The analytic fit of Fig. A-7 is scaled as follows to obtain an estimate of LDEF exposure to
albedo neutrons. The maximum geomagnetic latitude reached by the LDEF orbit is 2_n =
40 °, which is approximately the latitude corresponding to the spectrum of Fig. A-7. From
measurements of the i-10 MeV albedo flux dependence on magnetic latitude, the variation
of the albedo flux over LDEF orbits (ratio of flux at 7_m = 40 ° to flux at L m = 0 °) is about a
factor of 3, and the ratio of the maximum albedo flux to the 28" inclination orbit-average
flux is estimated to be a factor of -- 2. Thus, while a detailed orbit integration has not been
carried out to obtain the average LDEF exposure to albedo neutrons, the _'m - 42°
spectrum of Fig. A-7 is multiplied by 0.5 as an estimate of the orbit-average exposure. To
take into accouni aifitude differences, 1/r 2 scaling is assumed and the 45 km spectrum of
Fig. A-7 is multiplied by 0.88 to obtain the spectrum at 450 km, which is approximately
the average LDEF altitude. Finally, the flux of Fig. A-7 is multiplied by the LDEF on-orbit
time (2114 days) to obtain the albedo neutron fluence over the duration of the LDEF
mission. The product of these scale factors (8 x 107 ) times the analytic fit curve of Fig. A-
7 gives the estimate used for LDEF exposure to albedo neutrons (Fig. A-9).
I
mI
II
mI
m
m
|
Ill
mZ
I
Ill
II
I
m
I
mmI
m
Z
I
A-4 i
i
At altitudes of about 450 km the albedo neutron directions are restricted within a cone half-
angle of 70 ° about the zenith because the earth shields neutrons of other directions. Thus,
in the transport calculations only neutron directions within + 70 ° about the slab normal were
allowed.
=
m
Summary
Table A- 1 below summarizes the energy range and normalization for the different sources
used as input for the transport calculations. Also indicated is the angular distribution range
assumed in computing the source spectra per unit solid angle.
Table A-I. Source parameters used for transport calculations.
Source
Trapped Protons
Galactic Protons
Albedo Protons
Albedo Neutrons
MinimumIncident
Energy
15 MeV
3.2 GeV
15 MeV
1 keV
Maximum
Incident
Energy
600 MeV
100 GeV
3.5 GeV
3.0 GeV
Omnidirectional Integral
Ruence above E rr_
(crn" 2, over LDEF Mission)
4.3 X 10 9
2.8 x 10 7
2.3 x 10 7
7.4 x 10 7
Range ofAngular
Distribution
(steradians I
4_
2/¢
4/¢
1.3g
References for Appendix A
1. J.W. Watts, "LDEF Dose Predictions and Measurement", LDEF Ionizing Radiation Special Investigation
Group Meeting, NASA/MSFC, July 1990.
2. Donald M. Sawyer and James I. Vette, "AP-8 Trapped Proton Environment for Solar Maximum and Solar
Minimum", National Science Data Center, Goddard Space Flight Center, NSSDC/WDC-A-R&S 76-06,
1976.
3. Michale J. Teague and Iames I. Vette, "A Model of the Trapped Electron Population for Solar Minimum",
National Science Data Ceter, Goddard Space Flight Center, NSSDC 74-03, 1974.
4. Michael J. Teague, King W. Chart, and J. I. Vette, "AE6: A Model Environment of the Trapped Electrons forSolar Maximum", National Science Data Center, Goddard Space Flight Center, NSSDC/WDC-A-R&S 76-04,
1976.
5. L H. Adams, Jr., R. Silberberg, and C. H. Tsao, "Cosmic Ray Effects on Mieroelectronics, Part I: The Near
Earth Environment", N'RL Memorandum Report 4506, August 1981.
6. J.H. Adams, Jr., J. R. Letaw, and D. F. Smart, "Cosmic Ray Effects on Microelectronics, Part II: The
Geomagnetic Cutoff Effects", NRL Memorandum Report 5099, May 1983.
7. W. Heinrich and A. Spill, "Geomagnetic Shielding of Cosmic Rays for Different Satellite Orbits", J.
Geophys. Res. 84, 4401 (1979).
A-5
.
.
10.
11.
12.
13.
K. P. Wenzel, E. C. Stone, and R. E. Vogt, "Splash Albedo Protons Between 4 and 315 MeV at High andLow Geomagnetic Latitudes", J. Geophys. Res. 80, 3580 (1975).
C. R. Pennypacker, G. F. Smoot, A. Buffington, R A. Mu, H. Smith, "Measurement of Geomagnetic CutoffNear Palestine, Texas", J. Geophys. Res. 78, 1515 (1973).
S. N. Kuznetsov, Yu I. Logachev, S. P. Ryumin, and G. A. Trebuckhovskaya, "AIbedo of Galactic cosmicRays from the COSMOS-721 Data", MG-28, p.161.
T. W. Armstrong, K. C. Chandler, and J. Barish, "Calculations of Neutron Flux Spectra Induced in theEarth's Atmosphere by Ga/actic Cosmic Rays", I. Geophys. Res. 78, 2715 (1973).
A. M. Preszler, G. M. Simnett, and R. S. White, "Earth Albedo Neutrons from 10 to 100 MeV", Phys. Rev.Lett. 28, 982 (1972).
R. S. White, S. Moon, A. M. Preszler, and G. M. Simnett, "Earth Albedo and Solar Neutrons", Rept. IGPP-UCR-72-16, U.C. Riverside, 1972.
U
Ill
U
m
m
U
b
mU
i
u
im
g
z
m
U
m
m
I
A-6
i
m
mmm
U
1011i i , i ,ill] b = i _ _ i_ i , i i _ i i _, I i _ = p , i_
I Trapped Proton Spectra
Integral
i ......
10 5 ' ' 10 5
10 -1 10 0 101 10 2 103
Proton Energy (MeV)
Fig. A-1. LDEF exposure to uapped protons, averaged over LDEF altitudes and cummulative over the LDEF
mission duration, calculated by Wattsl using the APSMAX and APSMIN environment models.2 Shown
here are omnidirectional spectra; as discussed in the text, the trapped proton spectra at the LDEF altitude and
orbit inclination are actually highly anisotropic.
,. 1011
i
.,....
LL
==.u(:3
1014
1 0TM
1012
1 011
1010
lo9
lO8
lO7
lO610 -1
, i
Differential
Integral
Trapped Electron Spectra
10 0
Electron Energy (MeV)
1014
1013
10 TM 3"
1011
1010 "_
106101
Fig. A-2. LDEF exposure to trapped elecu'ons, averaged over LDEF altitudes and cummulative over the LDEF
mission duration, calculated by Watts 1 using the AE8MIN and AEMAX environment models.3,4
A-7
10 3 ......... I ........ I ' '
102
101
_'E I0°
_ I0 Iv
X
10 -2
3
10_3
10 -4
Outside Earth's
Magnetosphere
I _ ==¢ iii _ i i i i i,
Galactic Proton spectra
solermaximum
..... solarminimum
At .'_
10.5 .... ,,,,j. ..... ,,Jl ...... I j _ L., ,,,
101 102 103 104 105
Proton Energy (MeV)
Fig. A-3. Galactic proton spectra in interplanetary space (from Adams, et al.5) and at LDEF orbit
after attenuation by geomagnetic field.
m
i
i
i
I
i
i
m
1 , ' ' ..... I , t , , , , i
Geomagnetic Transmission0.9 (30 _, 400 kin.) 0.9
0.8 0.8
0.7 0.7
0.6 0.6
he 0.5 0.5
"6 0.4 _ 0.4
i 0.3 o.s
0.2 0.2
0.1 0.1
0 I i_"_, .... _ I I. I I I I , , , 0
10 3 10 4 105
Proton Energy (MeV)
Fig. A-4. Transmission factor for galactic proton penetration of geomagnetic fielcii averaged over 30 °
inclination, circular orbit at 400 Ion. altitude (adapted from Adams, et al. 6),
A-8
i
i!l
=
i
mzmm
m
m
!
i
=
m
m
i
m
i
i
=
1011
A
> 109:EI
tqE0
(/)t-
O 07
v
0t-
I1
105
a
103
101
%
i I I ] il,l i i i i I I Ill I
Integral,
Exomagnetosphere
%
\ ",,Differential, "
%
Exomagnetosphere "%
I I I ! IIII I I I I I I II
GalacticProton Spectra
Cummula_eoverLDEFMissionDuration
%
%_w _
/ • \
/iOi#orontial, ,
at LDEFOrbit _t
I
] I I [ll]lt t 1 J I IIIlt 1 I I ] I 11111 II
I
1011
109
107
o=
80
05 _0
3v
10a
I I I ] 1]1
lo1 lO2 lO3 lO4 lo5
101
E,Energy(MeV)
Fig. A-5. Cummuladve galactic proton spectra over the duratio, of the LDEF mission.
A-9
10 .2
10 _
i
O4
10 -4
X
n-10 5
10 -6
10 0
+ r I I I r +_1 t r 1 I I i II I * I ! I I I I , 1
Albedo Proton Data
• Cosmos 72i Measurements (Kuznetsov, et al.)
0 Balloon Measurements of Wenzel, et al. (x 4)[] Balloon Measurements of Pennypacker, et al. (x 4) \
-- Fit used here
I L I i t i i i I t i i • i IlL] I i i i i _ t I I
lo _ lo2 lo3Energy (MeV)
10 .2
I 0 -3
10 .4
10 -5
10-6
Fig. A-6. Measurements of the "splash" proton albedo specman at balloon '7, 8 and satellite 9 altitudes.
('The balloon data have been multiplied by a factor of four to get agreement with the magnitude of the
satellite data.) Also shown is a fit m the data used here as input for the Uansport calculations.
108
10 6
i 104
c_
102
• , , i i i + i i , i = _ _ i I , _ i _ , , = ,-
Albedo Proton SpectraCummulative over LDEF Mission Duration
Integral
Differenfial
I i i i i i i i [ i 1 t i i = I [ i i i i i i i i
101 102 103 104
Fig. A-7. Cummuladve albedo proton spectra over the duration of the LDEF mission.
10 8
lo 6 _--n
10 4 _
102
A-IO
I
l
zI
m
!
I
m
I
I
i
I
I
m
I
Ill
i
I
[][]
m
I
ZI
[]
mB
!
..j-- r-- PRESENT CALCULATIONS
• MEASURED UPWARD MovING
FLUX, PRESZLER, et <T/. (t972)• MEASURED UPWARD MOVING
CURRENT, WHITE, e/ oA (t972)
' i
J I
__L__
Fig. A-8. HETC code calculations of the neutron albedo spectra from cosmic-ray bombardment of the
earth's atmosphere. 11 Shown are flux (0) and current (J) spectra for the upward moving (21r) and
omnidirectional (4n) neutrons at 5 ,#cm 2 residual atmosphere, 42 ° N geomagnetic latitude, and solar
minimum conditions. Also shown are data from balloon flight measuremenL_ by Preszler, et al. 12 andby White, et al. 13.
A-11
W
1011
_" 10 9i
e-2
e-
8 10 7
U_
o_
._ I tlllU I
©\
.m
a
10 5
10 3 ' "'''''_
10 `5
I II,llll I i I lilill I i rilH_i I _ i _lli,i I r i1_Tiln i I i ,lhH I I I I_
Differential
0\
x
Q\
\
\
\
Integral
l ¢lJlilll I i llliliJ
10 -3
Aibedo Neutron SpectraCummulat_veover LDEF Mission Duration
Im
, _ ,Lm,l J ! ]iIiil[ | i illi|lJ [ i [l_il_ I I iIJilJl _ i i llml
%
1 0"1 101 1 03
Neutron Enemy {MeV)
1011
10 9 _
-13
3
lO70
o')
3
10 5
10 3
Fig. A-9. Cummuladv¢ neutron albedo spec_'a over the dura[lon of the LDEF mission. The points (open
circles) are from HETC code calculations of the differential spectrum at the top of the atmosphere (from Fig. A-
S), which have been renormal;zed for the LDEF orbit.
A-12
m
i
i
I
i
J
iR
iI
g
!B
m
g
B
i
m
m
I
mmm
J
m
u
m
m
mm
Dose
Appendix B
Response Functions
To estimate depth dependent doses the flux spectra at various depths from the transport
calculations were folded with dose response functions. The response functions used (Figs.
B-1 and B-2) are "surface doses" for protons or neutrons incident normally on a slab of
tissue or silicon.
For protons incident on tissue, the response function was estimated using the stopping
power approximation of Burrell I below 60 MeV and the transport calculation results of
Zerby and Kinney 2 in the range from 60 to 400 MeV, Alsmiller, et al. 3 from 400 MeV to
3 GeV, and Armstrong and Chandler 4 from 3 GeV to 100 GeV. For neutrons incident on
tissue, results from Irving, et al 5 were used below 60 MeV, from Alsmiller, et al 3
between 60 MeV and 3 GeV, and from Armstrong and Chandler 4 between 3 GeV and 100
GeV.
_mmr
For protons incident on silicon, the Burrell _ stopping power approximation was used
below 200 MeV with the HETC code kerma factor calculations of Zazula, et al. 6 used
above 200 MeV. The response to neutrons is based on the DLC-31 data library 7 below 20
MeV and the Zazula, et al. 6 calculations at higher energies.
References for Appendix B
1.
2.
3.
4.
5.
6.
.
Martin O. Burrell, "The Calculation of Proton Penetration and Dose Rates", NASA TM X-53063, August1964.
C. D. Zerby and W. E. Kinney, Nucl. Instru. Meth. 36, 125 (1965).
R. G. Alsmiller, Jr., T. W. Armstrong, and W. A. Coleman, "l'he Absorbed Dose and Dose Equivalent fromNeutrons in the Energy Range 60 to 3000 MeV and Protons in the Energy Range 400 MeV to 3000 MeV",Nuel. Sci. Engr., 42, 367 (1970).
T. W. Armstrong and K. C. Chandler, "Calculation of the Absorbed Dose and Dose Equivalent fromNeutrons and Protons in the Energy Range from 3.5 GeV to 1.0 TeV", Health Phys. 24, 277 (1973).
D. C. Irving, R. G. Alsmiller, Jr., and H. S. Moran, "l'issue Current-to-Dose Conversion Factors forNeutrons from 0.5 to 60 MeV", ORNL-4432, August 1967.
J. M. Zazula, P. Cloth, D. Filges, and G. Sterzenbach, "Secondary Particle Yield and Energy Release Datafrom Ia,.'ranuclear-Cascade-Evaporation Model Calculations of High Energy (20 - 1100 MeV) NeutronInteraction with Elements of Shielding and Biological Importance", Nuel. Instr. Melh. BI6, 506 (1986).
DLC-31, "37 Neutron, 21 Gamma Ray Coupled Multigroup Library", Radiation Shielding InformationCenter, r_ata Library Collection DLC-31/(DPL-1/q:EWG1), Oak Ridge National Laboratory, 1976.
B-1
10"5
10-6
E(3
(3•_ 10-7
10.8
0
10 -9
10 -1°
t0 -3
10 -5
0-7E I(3
cL
_. 10 9
o 10.11r',,
10 "13
10 .2
Protons
Neurons
10 -2 10 "1 10 0 101 10 2 10 3 10 4 10 5
Energy (MeV)
Fig. B-1. Flux-to-dose conversion factors used for absorbed dose in tissue.
10 6
| r I I I IH I I ! i iiitl_ 1 I i I Jill I i _ _ i$iii i #" i i ii$ii_ "-F T_ i 'i if ii
p
Silicon
I I l i ii]lJ I I i Zlllll I i i IIlll| 1 I llZlll| 1 I I I III1| i ] I I I IIIj l LI ']llJ
10 "1 10 0 101 10 2 10 3 10 4 10 5
Energy (MeV)
Fig. B-2. Flux-to-dose conversion factors used for absorbed dose in silicon.
B-2
W
i
I
m
U
m
I
I
I
g
I
J
88
mg
I
i
iai
I
mmm
88
|
Appendix C
Activation Cross Sections
Michel and co-workers (e.g., Ref. 1) have developed a set of activation cross sections for
neutrons and protons incident on various elements by using a combination of experimental
data, semi-empirical methods, and nuclear models. Predictions of the spatial dependence
of radioisotope production in thick composite targets using the Michel, et al. cross section
set folded with flux spectra calculated by the HETC transport code are in very good
agreement with experimental data for high-energy proton irradiations 2. Thus, in these
initial calculations we have used the Michel, et al. 2 activation cross sections shown in Figs.
C-1 through C-3.
References for Appendix C
1. R. Michel and R. Sti/ck, J. Geophys. Res. 89, B673, (1984).
° D. Aylmer, et al., "Monte Carlo Modelling and Comparison with Experiment of the Nuclide Production inThick Stony Targets Isotropically Irradiated with 600 MeV Protons", CERN SC96 Experiment,Kernforschungsanlage Julich GMBH, Report Jul-2130, May 1987.
C-1
10 2
E
E 101c._o
10 °
101
22 Na from AI
1"4
L__ _L I i I | I i J t t
10 2
Energy (MeV)
I u n | t |
101
,__ 10 0
EE0
10-1
i !
7Be from AI
101 103
I I I I L I t | I i L I t. [ I
10 2
Energy (MeV)
Fig. C-1. Cross sections for 22Na and 7Be woduction _om aluminum; solid ]hie by Immms, dash_
line by neurons.
C-2
i
roll
i
Ii
i
_-J
=__
i
i
I
m
i
i
Ill
lib
I
i
!1
III
w
w
lO2
E
,oE
v
o
looU)
2o
10 -1
103
A
102
E01c: 1
o
_ 10°2
0
I 0 "1
s7 Co from
|
O1
p i
Fe
i i , i t i _ I ! 1 i i i
10 2 10 3
Energy (MeV)
1C
101
E
._ 100
E
co
®_ 10 -1
0
10 "2
54 Mn from
ix
s
, i , I I.]___ L l , i , t I i I i
101 10 2
Energy (MeV)
I
7 Be from Fe
i 1 i i i I , , , , i , , ,I 02
Energy (MoV)
,.
10 3
0 3
Fig. C-2. Cross sections for 57Co, 54Mn and 7Be production from iron; solid line by protons,
dashed line by neutrons.
C-3
10 2
JE
_1o 1 -
100 -
101
: ' ' ' ' ''1 ' ' ' ''
S4Mn from Ni
:'', / ",i " : ",
' "":t " ........
i ! ! I
102 103
En_gy (MeV)
103--
102-
1101
100-
101
SICo from NI
I 1%_.
.........
, , i i i l:l _
lO 2
Energy(MeV)
103
mm
BE
Ill
,,m
im
BE
m
IB
103- , , ,,,,,; , , , ' ''"l i -, , , ,,,
l 02-
100 I
10°
STCo from Ni ,'"
I
, ,,I
r I Ii
!
¢
i
iI
i
ei
i i i r i sml
lO 1
"l
I
103-_ ; ' ' '''''l
SlCo from Nl
I
#n
il 02
_ t
t
¢_ 101-
10 3
/, ,L .... I , 100 , ....... z
1_ 10 0 101
it° _,l _
°f i,.
7, ..... J i ....... t
Energy (MeV) Energy (MeV)
Fig.C-3.Crossmctionsfor54Mn,56Co,57Co and 58Coproductionfromnickel;solidline by protons,dashed
lineby neutrons.
C-4
lO 3
=
m
m
g
IB
Zm
m
m
lib
im
!m
lg
|
Appendix D
Additional Fluence Results
Figs. D-1 through D-4 compare the depth dependent fluences (over all energies) for
primary and secondary particles for LDEF exposure to trapped proton, galactic proton,
albedo proton, and albedo neutronsources.
Fluence spectra of protons and neutrons from all sources are compared for 10 and 50 g/cm 2
aluminum shielding depths in Figs. D-5 and D-6.
w
D-1
w
10 lo
t
8t-¢D
Tf-
.gt/)
LLUJ
..J
109
10 8
10 7secondary protons
I
Trapped
secondary neutrons
primary protons
Proton Sou rce
I
iu
I
I
i
106
0 2O
Fig. D-I.
40 60
Depth in Aluminum (g/cm 2)
8O
Secondary particle production for _apped proton source.
100
I
iI
m
I
1010
._. 109 _O4
l
E_o
8
I , ' -i l I ' ' T I ' a
Galactlc
I i t !
Proton Source
secondary neutrons
ii secondary protons
107-J
F1 06 f I 1., I , , , I • , ,
0 20 40
primary protons
[ i i i I
60 80
I I I
Depth in Aluminum (g/cm 2)
100
Fig. D-2. Secondary particle production for galactic proton source.
D-2
=
I
i
i
i
I
i
I
I
i
I
m
I
II
108 ' ' ' I "_ ' ' I ' ; ' I ' ' ' I ' ' '
Albedo Proton Source
'_ 107
10 6 _
q
105
secondary neutrons
I , , , I , ,.._, I. , , , I , , _ I , , ,
0 20 40 60 80
Depth in Aluminum {g/cm 2)
Fig. D-3. Secondary particle production for albedo proton source.
100
u
109
...,. 10804
Eo
ID_ 10 7U.
106
1 05
' ' ' l ' ' ' l ' ' ' J ' '
Albedo
g
I I I I ,
0 20
primary + secondary neutrons
secondary protons0
! | i g I
Neutron Source
O
, , I , L , I , i , I ,
40 60 80
Depth in Aluminum (g/cm 2)
I I
100
Fig. D-4. Secondary particle production for albedo neutron source.
D.3
I I " I I I_ [ IIIIII I I IIIIII I I IIIIII I I IIIIit I I IIIIII I |
®
//
o/
I
,,,,,,,,,p....,LI,,,,,,,,,,,,,,,,,, ........ ,.......,I I I I
( I. - Aal#I ;_.'w0 ) eJ|:::_d9 a0uanl-.l u0!ss!l_ :1:107
O
o
D-4
e,')o'v--
O.I vO >,
_)f-LU
'l"-"
O,r,,
O'i-'.'
,-;-,O
vl
o=",,,_iiii
_QI,)
ra.,
i
.Sl,e.,1
.5
III
IIII:
O
W
IE
lib
El
Ill
11
lib
BII
II
IE
!I
II
II
mmgmmllll
lie
imI!!
l
II
II
i.
,,,,,_, ......,,'_,,,_,?,,,,_,,,,,,,,_,,,,,,,,,......,, ,,,,,,,,, _,,,,,,,,,,,,,,,,,I I I I I I I I
0"_ r,,. 14") cO0 0 0 0
( L.^e_ __ uJ0 ) e_ods a0u0nl_-Iu0!sS!lAI=130"1
O
IDO
'T"
O
I.U
°O
,6
O,q,.,.
D-5
ul
z
!I
11!
II
Ill
111
IB
=_
Ill
nIII!
II
II
m
III
m
U
II
i
IIs
111
llr
ul
Ill
Appendix E
Additional Dose Results
Figs. D-1 through E-4 compare primary vs. secondary particle contributions to the
absorbed dose in tissue for each of the LDEF exposure sources considered.
L
.i,.m,
k=.
w
E-1
.... • • r
(IP
t-
.on
I=UJ
1 O3
io2
101
1 0 °
10-1
primary protonsTotal
/ protons
secondary neutrons
0 20 40 60 80
Depth in Aluminum (g/cm 2}
Trapped Proton Source
100
Fig. E-I. Secondary particle contribution to absorbed dose in tissue for capped proton source.
101
!1 00
' ' ' I ' ' ' I _ '" ' I ' ' * I ' _' '
GaJactic Proton Source
__ Total
secondary neutrons
, , a I • _ _ I , , , I z z , I
0 20 40 60 80
Depth in Aluminum (g/cm 2)
s i
100
Fig. E-2. Secondary particle contribution to absorbed dose in tissue for galactic proton source.
E-2
im
m
J
t
mUW
g
i
w
IB
III
i
m
i
IB
i
i
i
I
R
iQ
101
,.- 00
t.=
10 1
LL
LU
c)-,J
10.2
0
Fig.E-3.
Albedo Proton Source
Tota/
primary protons
secondary neutrons
secondary protons
i , I I , , I i ] L I
20 40 60 80
Depth in Aluminum (g/cm2)
Secondary particle contribution to absorbed dose in tissue for albedo proton source.
10C
A
!9
10°
10"1
I ' ' ' I ' ' ' 1 ' ' ' I
Albedo Neutron Source
Tota/Q 41, __
_ primary +secondary neutrons
__econdary protons
I , , , I , i s I , , ,= I ,
20 40 60 80
Depth inAluminum (g/cm2)
100
Fig. E-4. Secondary particle contribution to absorbed dose in tissue for albedo neutron source.
E-3
g
II
Ill
i
m_ii
!ll
II
m
II
m
II
II
iI
i
II
II
z
m
ill
m
qlll
_mII
!t!
II
imi
II
=il
w
Appendix F
=
Results for Radioisotope Production from Stainless Steel
Induced radioactivity measurements are being made for several LDEF components which
are made of stainless steel, and calculated results are given here for several radioisotopes
produced in thin stainless steel samples behind varying thicknesses of aluminum shielding.
The stainless steel composition used in the calculations (75.3% Fe, 15.4% Cr, and 4.3%
Ni, by weight) is based on post-flight x-ray fluorescence measurements (made at MSFC,
and provided by A. Harmon, MSFC/SSL) of segments of the LDEF trunion.
Figures F-1 through F-3 compare the contributions from different sources to each of the
radioisotopes considered. Figures F-4 through F-8 compare the primary vs. secondary
particle contributions to the production of each isotope for trapped proton and galactic
sources.
m
w
F-1
r0
0
"02
(3.
lO5
lO4
lO3
Trapped Proton Source
' I ¢ ' • I ' ' '
SSCo from S Steel
Galactic Proton Source
AlbedoNeutronSource
Al:_JdoProton Source
0 20 40 60 80 100
Depth in Aluminum (g/cm 2)
g
"102Q.
10 6 _- ' '--=7- ' ' ' I ' ' ' I ' ' ' I ' ' '
I S7Co from S Steel 1
104
10 3
10 2
0 20 40 60 8_) 100
Depth in Aluminum (g/cm 2)
Fig. F-1. Con_ibution of various space radiation sources to _e production of 5_Co (top graph) and
57 Co Cootmm graph) _om st_nless steel, normalized for LDEF mission duration.
w
I
all
ill
BI;
Ill
m
i
iI
l
m
B_
ii
i
m
mm
m
!
gB
m
u
i
1-2II
=_=
im
l!
= =
,05f 1S6Co from S Steel
o 103O. _ x -" u Albedo Neutron Source l
]
0 20 40 60 80 100.
Depth in Aluminum (g/cm2)
L
F
107
106
105
(3.
104
' ' ' I ' ' ' I ' ' ' I ' '' I ' ' '
54Mn from S Steel
Ga/actic Proton SourceC
x x x _A/Albedo Neutron Source
103 = _ i I , , , ! , , t I , , , I , l ,
0 - 20 40 60 80
Depth in Aluminum (g/cm 2)
100
Fig. F-2. Contribution of various space radiation sources to the production of 56Co (top graph) and
54 Mn (bottom graph) from stainless steel, normalized for LDEF mission duration.
F-3
j-
iJ
Jr
j"
qlm
!
m
IB
104
i 1 03 -
1 02
7Be from S Steel
ped Proton Source
Galactic Proton Source i-"
_ron Source N.----.--.
e--.... A/bedo Proton Source.-e---...
101 l I I 1 = L l I i * , I = = I I = A,
0 20 40 60 80
Depth in Aluminum (g/cm 2)
Fig. F-3. Conu'ibution of various space radiation sources to the production of 7Be from stainlesssteel, normalized for LDEF mission duration.
10(
z_
m
!II
II
II
!11
i
III
BI
==_==i
J
!11
F-4
11
lib
lib
=ail
=
los
lO4
A
t-O
lO2
101
primary pro tons
secondary protons
58Co from S Steel
Trapped Proton Source
I ' J
2O
I = ,= = I ,
40 60
Depth in Aluminum (g/cm 2)
8O 100
w
lOs
104-
At_
_o
lO2
' ' ' I ' ' ' ! ' I t I =
e
secondary protons
__..primary protons
! i I = _ =
58Co from S Steel
Galactic Proton Source
101 _ _ _ I _ _ , I = J = I i J [ I _ =0 20 40 60 8O
Depth in Aluminum (g/cm 2)
I
100
Fig. F-4. Secondary particle contribution to 58Co production from stainless steel by trapped
proton (top) and galactic proton (bottom) sources, normalized for LDEF mission duradon.
F-5
A
2t-O
106 I ' ' ' I ' ' ' I ' ' ° I ' i
io5
1o4
1o3
1o2
primary pro tons
57Co from S Steel
Trapped Proton Source
neutrons
protons
0 20 40 60 80 100
Dep_ in Aluminum {g/cm 2)
1 _v I i l a80 100
_, 57Co from S Steel -
Galacdc Proton Source
__ , , I , , i I , A,, _ I , i L
0 2O 4O 60
Deoth in Aluminum (o/cm2_
D
m
IB
BE
EB
i
IB
IB
lib
il
IB
B
mim
Fig. F-5. Secondary particle contribution to 57Co production from stainless Steel by _:appedproton (top) and galactic proton (bottom) sources, normalized for LDEF mission duration.
F-6
m
Ii
m
II
v
lo5
lo'
lo2
101
C
o.
primary protons
secondary protons
I Trappe56Cofrom S Steel
d Proton Source
0 20
neutrons
40 60
Depth in Aluminum (g/cm 2)
8O 100
w
104
lO3A
2CO
' ' ' I ' ' ' I ' ' ' I '
56Co from S Steel
Galactic Proton Source
I I I I I
20
0
a __ --
101 = , I , , _ I , , = I , ,0 40 60 80 100
Depth in Aluminum (g/cm 2)
Fig. F-6. Secondary particle contribution to 56Co production from stainless steel by trapped
proton (top) and galactic proton (bottom) sources, normaJized for LDEF mission duration.
F-7
1_ l ,. , , I , , ' ' ' ' ' ° ' ' J ' ' ' I
i lo_ _ neutrons
_o4
103 0 20 _80 10040 ..... 60
Depth in Aluminum (g/crn 2)
w
m
BB
i
=
IB
lm
IB
neutrons _ = • .
In3v , I i0 100
secondary protons _ o
54Mn from S Steel
Galactic Proton Source
I J = I J I , I , , L I J = I I
20 40 60 80
Depth in Aluminum (g/cm 2)
BIll
mi
BB
im
!!
lib
m
'i
m
m
IB
Fig. F-7. Secondary particle contribution to 54Mn product/on from stainless steel by _'apped
proton (top) and galactic proton (bottom) sources, normalized for LDEF mission duration.
F-8
m
R
m
I
=
m
R
w
104
lO3
A
102e-
101
lo0
primary protons
7Be from S Steel
Trapped Proton Source
neuVons
secondaryprotons
0 20 40 60 80
DepthinAluminum(_cm 2)
100
=
w
7Be from S Steel
Galactic Proton Source
101 _ = _ I _ , , I = = , I , = J I ,
0 20 40 60 80
Depth in Aluminum (g/cm 2)
100
Fig. F-8. Secondaryparticle contribution to 7Be production from stainless steel by trapped
proton (top) and galactic proton (bottom) sources, normalized for LDEF mission duration.
F-9
±
qP
U
U
HI
[]
z
g
IB
Ni
alp
mqP
U
RB
I
mm
II
m_
I
z
m