B. A. R. C.-I002
U
GOVERNMENT OF INDIA
ATOMIC ENERGY COMMISSION
MULTIGROUP RESONANCE SELF-SHIELDING FACTORS AND
CROSS-SECTIONS OF MAIN REACTOR ELEMENTS
by
S. B. Garg
Experimental Reactor Physics Section
BHABHA ATOMIC RESEARCH CENTRE
BOMBAY, INDIA
1979
B.A. R. C.-1002
GOVERNMENT OF INDIA
ATOMIC ENERGY COMMISSION
O
ei
MULTIGROUP RESONANCE SELF-SHIELDING FACTORS AND
CROSS-SECTIONS OF MAIN REACTOR ELEMENTS
by
S. B. Garg
Experimental Reactor Physics Section
BHABHA ATOMIC RESEARCH CENTRE
BOMBAY, INDIA
1979
LNIS S u b l e t CateRQiy t A31 » E21
SELF - SHIELDUra
GEOU? CONSTANTS
THEORY
F
CODKS
FAST HEACTOHS
EVALUATED DATA
LIGHT NUCLEI
URANIUM ISOTOPES
PLUTONIUM ISOTOPES
EV RiJiaE
S3BV EANGE
MOT RAN8E
A B S T R A C T
Multlgroup resonance self-shielding factors and cross-sections
have been generated for Be, X B, ^B, C, N, 0, Na, Cr, Fe, Ni, Th,
233
233,, 22i 235 238 239
21*0
2U
2^2
Pa,
u,
U,
U,
U,
Pu,
Pu,
Pu and
Pu using
their basic cross-section and resonance parameter data from the
ENDF/D library. These cross-sections and self-shielding factors
can be directly used in fast reactor codes FCC-IV and 1 OX to study
the physics of any dilute or dense fast system representing soft or
hard neutron spectrum. The Ooppler coefficient of reactivity, vital
for safety considerations, can also be estimated using these data.
MULTEROUF RESO1AVCE SELF-SHIELDING FACTtRS AND CROSS-SECT IONS OF
M>IN REACT CR ELEMENTS
by
S.B. Garg
1.
INTRODUCTION
A 27-group c r o s s - s e c t i o n s*t
was r e c e n t l y generated for
s e v e r a l reactor elements from t h f basic ENDF/B c r o s s - s e c t i o n l i b r a r y
t o study t h e physics of f u s i o n , f i s s i o n and hybrid reactor s y s t e m s .
This cross-section set was also tested against the criticslity measurements of plutonium and uranium based fast critical assemblies* '
of varying compositions and neutron spectra.
While this set predic-
ted well the criticality of hard assemblies, it did not reproduce st
well the Keff - vplues of dilute systems because of non-inclusion of the
resonance self-shielding factors which account for the composition
dependence of group cross-sections.
In order to generate the composi-
tion dependent cross-sectlon3 and to study the Doppler coefficient of
reactivity a code SHIELD baaed on the EPOX code^
has been developed
for the EEC-10 computer.
Using this code, 26-group self-shielding factors and cross-sections have been generated for Be,
Th.
233
Pa,
233
U,
23
\,,
235
U,
2 3
V
B,
239
Pu,
B, C, N, 0, Na, Cr, Fe, Nl,
2W
Pu,
2W
Pu and 2 S>u in
a format which is consistent for their input to the fast reactor codes
FCC-nr ^ and 1DX
. The self-shielding factors are listed at 300°K,
900*K and 2lOO*K for several potential scattering cross-sections. The
..2
t
2
I
basic cross-sect ions and the resonance data used in this study have
been taken from BjDF/B library .. versions 3 and 4. The 27th group
(thermal energy point) i s not given in this report since i t i s contained in ref , ( l ) .
In this group the self-shielding factor for each
of fission, capture, total and elastic scattering cross-sections i s
unity at a l l the temperatures.
2.
F(BMUUTICNS
The various definitions and mathematical formulations are discussed in ref . ( l ) nnd ref . ( 6 ) . Hera, only a brief sunmary of some
•f the essential entities has been made for'the sake of completeness.
The microscopic group average cross-section for the I t h group
and reaction X (capture, fission, elastic or inelastic scattering) of
an element K is given by the following rel«tiom
T
The neutron flux,
<y(E), i s given by
w
...3
«
where
f
f 0 (E) -
W
3
constant x E"1 f 9 r
i
0 < E < SF
E CF
.
constant x Js x e - /
•
proportional to Z t (E)
for E > EF
(3)
EF and CF are determined fcy the fission spectrum of the principal l i s s l l e isotope tnd are taken respectively as 2.24 MeV and
1.41 Mev in these calculations. This definition of <f (E) allows
for flux depression in the resonance region through the macroscopic
total erese-section of a given configuration, ^ t ( E ) .
The effects of temperature 7 and composition in equation ( l )
can ba separated by writing i t in the following fcrm
I
vhere
(5)
snd ie knovn as the 'infinitely dilute cross-section* for the Ith
group and reaction X (capture, fission or elastic scattering) of Kth
element, and
...4
t
4 t
(6)
'K
o
and i s knowi as the 'resonance self-shielding factor 1 for the Ith
group and reaction X (fission, capture or elastic scattering) of
Kth element. Here ^t-y i s the total energy and tanperature-dependent microscopic cross-section of the Kth element. O~% i s the Ith
group total cross-section of a l l the other elements per atom of the
Kth element and i s responsible for the reactor-composition dependence of the group cross-section.
The expressions for the total microscopic group averaged cross-I
-I
section. O~. , and the resonance self-shielding factor, ff_, ore
given by
f ^
T
(7)
x
- cr
(8)
..5
i
5 »
The ealf-shielding factors are calculated far • given fixed
aet »f O~ and T values. Far a given reactor canpesltien,
—-I
^
-I
<7~^ can be ebtained by interpelating the valuea af f_ .
The tetal inelastic cress-section la given by
-T
T
x
and the elaatic transfer cross-section is given by
K«; — - *
7^
J
where
VLi .
prabability that a neutran with lethargy vC w a i have
a lethargy I t
ft
after an elastic colllsien
- mailman lethargy increment in an elaatic ceUiaian
1A.( Ij.^ > lethargies^ carreapanding ta upper and lewer energy
limits af the graup
In the Fermi-spectrum,equatian (10) can be approximated ta
t
6
i
where
y
average 3eth»rgy change by elastic scattering
in the Ith ^roup by Kth elanent
. " lethargy interval of the Ith group.
The capture cross-section is given by
^he formulations pertaining to resolved and unresolved resonance
regions have been given in ref . ( l ) and are not reproduced here.
3.
GROUP CROSS-SECT ICW3 AHD SEIf-SHIELDING FACTCRS
The f i r s t Table contains the energy structure of t h e 27-group
cross-section s e t .
26-groupsof t h i s set are identical to those of
the ABBN-Set^ and the 27th group has been added between 10.5 Mev
and 15 Mev. The 26-gr»up resonance self-shielding factors and c r o s s s e c t i t n s are l i s t e d i n the subsequent Tables for Be,
Na, Or. F., «1. Th. **>*. *
3
\
Z
^,
» \
* \
239
B,
Pu,
B, C, N, 0,
^
^
u > 4
2L2
Pu. These tables have been directly reproduced fran the computer
results to avwid any numerical error and for this reason the 27th group,
which i s a thermal energy point, i s not included in this report. At
..7
«
7 i
this energy point rach self-shielding factor is unity and the various
reaction cross-sections of the a':»ve listed elerrfntj are piven in
raf.(l).
Thefl* multigroup cross-auctions ar.d self-shielding factors car.
be directly U3ed in fast reactor codes FCC-IV and 1DX to carry out
physics studies.
The essential difference between the group cross-sec-
tions listed here and in ref . ( l ) i s that the group cr03s-sections in
the top four groups of this set are fission spectrum wel$vted whereas
in ref . ( l ) they were Fermi-sppctrum weighted.
The group-dependent
average lethargy incremsnt by elastic scattering has beijn explicitly
calculated and given in this report.
k.
CCNCLUSKNS
With the data that have been generated, neutronlc investigations
can be carried out for fission, fusion and hybrid nuclear systems of
different compositions and varying neutron spectra. For nuclear safety
considerations of these systems, the Doppler Coefficient of reactivity
can als* be estimated. Using these data, several fast critical assemblies utilizing metal, oxide and carbide fuels are currently being analysed t o study the merits of this cross-section set and to see whether
some conclusions can be dram regarding the basic cross-section data
of the individual reactor elements.
8 >
5.
ACKNOWLEDGEMENTS
The author i s thankful t o Dr.V.C. Deniz, Head, Experimental
Reactor Physics Section for h i s keen i n t e r e s t in t h i s work and
Shri M. Sivadaaan for the neat t y p i n g of t h i s r e p o r t .
6 . REFERENCES
1.
A 27-Group Cross-Section Set Derived
S . B . Gar?
from ENDF/B Library, BARC-892 (1976)
and INDC (IND)-2a/G + SP. (1977)
2.
3.B. Garg and
7.K. Shukla
C r i t i c a l i t y Studies ©f Fast Assemblies
With The New 27-Group Cro3s-Section S e t ,
BAR.C-906 (1976) and INDC (IND)-22/G • SP,
(1977)
3.
R J . Schenter et «1 >
ETQX, A Code To Calculate Group Constants
For Nuclear Reactor Calculations,
BNWL-lOOe (1969)
K.
W.W. L i t t l e , J r .
and R.W. Hardie
t
i
FCC-W, A Revised Version Of The FCC
Fundamental Mode Fast Reactor Code,
BNWL-450 (1967)
5.
R.W. Hardie and
W.W. L i t t l e , J r .
t
t
1 DX, A Che-Dimensional Diffusion Code For
Generating Effective Nuclear Cross-Sections,
BNWL-954 (1969)
6.
I . I . Bondarenk*
Group Constants For Nuclear Reactor Calcul a t i o n s , Consultants Bureau, New York (1964)
I
9 »
ENERGY STRUCTURE CF 27-GROUP CRCB&-SECTICN SET
Group
1
Energy Range
Lethargy Width
10.5 M»T - 1 5 . 0 Her
.357
2
6.5
•
- 10.5
"
,W0
3
4.0
•
-
6.5
•
.436
4
2.5
" -
4.0
"
.470
5
1.4
" -
2.5
»
.580
6
0.8
" -
1.4
•
.560
7
0.4
•
-
0.8
»
.693
8
0.2
•
-
0.4
•
.693
9
O.l
•
-
0.2
"
.693
10
46.5 Kev -
O.l
•
.766
11
21.5
•
- 46.5 Her
.771
12
10.0
•
- 21.5
•
.765
13
4.65 » - 10.0
»
.786
3A
2.15 •
4.65 *
.771
15
1.0
2.15 •
.765
16
465 er
1.0
•
.766
17
215
» -
465 er
.771
18
100
» -
215
»
.765
19
46.5
•
-
100
•
.766
20
21.5
•
- 46.5
"
.771
-
• -
I 10 i
Gr«up
Energy Range
10.0
21
Lethargy Width
ev -
21.5
ev
.765
10.0
•
.766
22
4.65
»
-
23
2.15
"
-
4.65
"
.771
24
1.0
"
-
2.15
•
.765
25
0.465 •
-
1.0
•
.766
26
0.215 •
-
0.465 "
.771
•27
.025 ev
*JNotot
-
In t h i s report the s e l f - s h i e l d i n g factors and t h e
various reaction cross-sections have not been l i s t e d
at t h i s energy point.
At t h i s energy each of the s e l f - s h i e l d i n g factors
i s unity and the reaction cross-sections of each e l e -
ment are given in ref . ( l ) .
I 11 I
BE-9
CAPTURE
SEU-SHIELDING
FACTORS
SF.LF-SHIEtOINC
TACTORS
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1
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w. 1 npnpi 7 4yi
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P,99J«7t»Pi1
(' . 4 4 1 7Q|. 4 P ' /
f , loeef ^
4
R , 00 131F4FP
«,99131E4PP
S
P.
t
e. ")\22F4PP
PttPP26E4Cl
6
I',99I7»F 4('/
e,9Pf<<9F4Pf
K,1(<B«.9K4i'<>
p.. *> •• i * > ! » : » « * •
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7
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0,
9
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f, i l » P P 0 E 4 P l
10
p,
pi.l
II
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P,IBPPPF4P1
P , IPP.PPE4P1
P , 1P.FPPE4P 1
F.
0.300P.GE4C3
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0.)
P,
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p. IBEPPF.tPl
p,, i B i' p ^ F 4 e i
p,ippeKK<
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14
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K.10C0CE401
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P.1HPPPF401
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16
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17
1
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Pf
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19
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1
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0,t
e,i
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0,
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p,li:ppi>t
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pit
1 *V f ' t
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c,
(* ittL'fJPF +tf1
0,
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1 WP0CE +(? 1
?PE4t;i
'CP-.p)
(,!!(
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e.ift: '.<tt «P1
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e , it'i!(*KF*P t
f , !("?• p f: * c l
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p.
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1(V *PT •p i
1 « P 'i't *vM
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(,• % I t:f * <*E• » f 1
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e,2
26
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p , 1 C P. P P t * C 1
P. l 9 t *999F*r(*
BE-9
TOTAL
CBCUP
SEIF-SHIELDING
FACTORS
KACTCHS 6T
SKLH-SHIELDING
TEMPEKA1UPE
.I»P!-(!E.B5
(DEC K)
<f , I ( > " , P 1 E 4 0 1
I! , 1 H P H 1 E 4 0 1
p,IPCHlt«?l
1
,
4
e
J
0 , 2 1 o n « s:»c <
i
11 , 1 P P I ' I ' K 4 P 3
p . I l l . ' f P t 4PJ
11 , 9 9 9 7 ) k 4 P P
(' , 9 9 9 7 3 k 4 P P
if , 9 9 5 7 3 K 4 P P
(' > 9 9 9 7 O ^ « c p
f9qqs7k4PP
f ,999S7K*PP
1/ , 9 o q s 7 F ' 4 P ^
, g 9 9fcH h. 4 P1'
' •
f!,90PPPF.4P3
0 , 210PVE *P 4
I
P qqQ7ftFj4v'P
B 9 q g 7 * ; V 4CC
, 9 9 9 7»jf- 4 ( ' P
. 11« i- n 1 r » r 1
e, ) 0 l / P I E 4 4 ) )
CJ.90PPP.F.4P3
P ,)WPP1E4P1
4
P
s
f 423
0, 3
0,90Pecfc4P. 3
0.210PP.E4P4
»,««»(! I? F.«(!3
0,21«CCF.4('4
|)PPPPF40 1
e JHPPPE4P1
|
(» 1 0 P H P F 4 0 1
e ,1UPPPF.40I
p I P 0 P P E 4P t
P .1PPP1E4C1
, 9 9 ' l P 9 t 4pP
p , 9 9 4 8 9 F 4PP
0 ,lPPlfcF 4P1
0 ,IWP16F4PI
0 ,1K(!l.»iF. 4 C 1
P ,997-12f:«PP
, 1PPP1F401
t: , 1 HPP1E.4PI
, 9 9 9 9 HF 4PP
p t 9 9 9 9 & F . +pp
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9 ° 6 1 ] F 4PP
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p
3
V41UE3 ( I N
p
t
p
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FLIjAL 1 0
1 (' V V p k 4 (* 1
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p
f
9 9 P 9 1 F 4PP
F;
f :o9"":"p
3
6
SIGH
V.,
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•
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1',
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v
I' , 9 7 R ( " l i f c 4 P P
(• , 9 7 H P f . F + pp
V ,, 9 9 H U p F . * e P
0 ,99BapF.4eP
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„'
p ,' 9 3 7 5 1 E 4 P 0
p ,, 9 R 7 5 S F 4 P 0
p ,, 9 P 7 5 5 t 4PP
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p ,( 9 5 4 9 P F 4 P 0
p .. 9 9 5 P I F 4 0 0
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c ,99998E4C)P
p, , 9 9 9 9 « E 4 H P
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p]! 9 9 5 P ! F > 0 0
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P ,, ) « P P P E 4 P 1
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p ,.99997E4PP
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p ,,99997E4PP
p , 9992PF.40I"
p , 99994E400
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p . 99991F40K
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p.
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16
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p , ,9999PE40P
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0,900P0F.4e3
0,21P/P.eE4<M
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FACTORS flT S l f i O
VATHE5
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P,1(T(»«F*C3
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0,3fiPPPE4?3
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P. ( J17fH|i+Ct'
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0 f 30PP J P.E4P3
e,9«RceE*P3
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p . g ' j g g - i E + pip
ft,<i9Jl9?f+{'P
p.^g^^jF+rc
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0,300pe:E+P3
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H.9<J9<5OF+Ct'
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f , 9 f l f c 7 S K • (' C
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P,9**67Sf.+H(*
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C,QVlJ97f •i^<S
0,3»PP0E4e3
0,9PHPet4P3
0,21«Pff*P4
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12
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H.l^CPk'E+fS
1
9
17
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e , 3 H « ? e E + R3
0.2I0WPF+P4
0,3W?P,eF*e3
fli9tfBP,HF+C3
0,2lii«Pt4P-4
fl.iepflftE+ni
fl,lvlPOPf"
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p,vreepE+fj
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1 P.Ct't'E + P 1
C,lfi'ft'F4K1
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P , H'rfPPf.4H1
P.(1PP.PCF4PI1
0,3W«P«E4P3
e.9«oppE+f 3
C,2ltJP.^E 4P*
e,30M8P.E4e3
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1
2
3
4
6
7
B
9
10
11
12
13
14
15
16
17
18
20
21
23
23
24
25
26
MULTIGPOUP CPC.^P
SFTTIOrKS
, 3 5 7 , ! f . C B 7 F * F l . k U ' d r p F 4CP
, 4 H H , 1 ] 91 JF * ? 1 t PPnC(*F4PC
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NA-S3
CAPTURE
CROUP
(OEG
1
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0,3HOl!0t*e3
7
8
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0,10327E»01
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0.10327E+01
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TN«212 CAPTURE
CROUP
Stir.SHIELDING FACTORS
TEMPERMURE
1
0.30000E403
SELr-SH 1ELDINC rACIORS »T »IOO VtlUES (IN
8,1«H0RE.01
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4
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0.99214Et00
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0 a 100f<eE401
0 a 100(^0E40t
0 i0e00E40i
0 a i0paeE40i
0 a I0000E401
0 I0C02E401
B a 10C0CE401
0.99907E400
0.99908E400
0.99908E400
0,999831.00
0.99999E.00
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0l99391E«00
0 900K0E+8J
0 a 2100OE404
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0 90000E+03
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0 .J0000E403
0 90000C403
0 3000CE*03
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0 a30000E*SI
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11
13
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16
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0(,30000E«>01
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0.99981E400
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0.99595E.00
I.88311E.00
0.R8071E400
0«99099E400
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0,904«1E400
0 a 97922E400
C a 90l3IE40e
0,,96331E»00
0.95749E400
e a 1000fE401
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0.98175E.B0
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0.8333SE400
0.S7624E400
0.86099E.00
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0a 99391E.S0
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0,99956E.0f
0 a 997blE460
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e,99768E.ee
0 a 99956E40C
0 a 99421E40E
«.99019E400
0 a 99293E4C0
C a 99469E400
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0.99469E4e«
0a9/. T34E400
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0.99472E4eC
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0.94632E40C
0.89447E400
0 a 97(22E*0e
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0.9S6S4E400
0,77837E.0e
0aft1219E400
0,69157E.0*
0.81671E.0f
0,3872BE.e0
0.65996E.00
C.47184E.Be
0.69663E.00
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0.97996E400
0 a 44650E40C
0 a 20li3E400
0.29309E400
e.55l40E.et
3 a 664SIE40E'
0.374S3E4C0
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0 a 10371E400
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0.39147E400
0 a 11335E*a0
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0.13394E-I1
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0.137S7E400
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0 a 49363E»Cl
0.13435E40C
0.96365E.81
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B»KN9) EOUH TO
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21
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ill
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24
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26
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I 83 t
TH-J32 TOTAL
G,ROUP
1
2
SELf.SHIELDING FACTORS
TEMPESATURE
SELF-EHIELDINr, TACTOBS AT aton VALUES (i
(DEC K )
a.ieeacE.as
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0,3000<!E403
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0.10C01E401
\
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0 a 21000E+S4
0,'l0B01E401
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0 |99BB3E40e
0J99879F.4C0
0.99621E4B0
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0 , i Piea2E4a i
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0|9962lE40e
B.9994SE40B
H,99945E»C0
0.99945E400
a,lfPP4E401
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0,99987E400
0,iei?aaE4ei
3
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0.30000E40 3
0,900£0E403
0.2100BE404
a|i0i!a(!E4ai
0,99995E4a0
0,99995E400
0.99995E400
0.90000E40)
0,210001404
0.30000E403
0,1000TE401
0t10f>0fiE4^tl
0.99996E4M0
7
i:i!Sii!:ii
B.99996E400
8
0*30Sa0E403
4
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9
6
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0.i0«00E4e2
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i
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1 999
9
0^900e0E4e3
0.99997E40O
0.99997E40B
0*30000E403
0.90000E*0]
0,10G00E40)
a,l0aacE40l
10
0I99999E+00
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11
12
1}
0|30000E*03
0,9O000E40)
0,21000E+04
0,30000E+03
0I99942E-.H0
0.99968E400
0.99977E400
0,99857E40fl
0[21000E*04
0,99943E400
0,9962BE400
0.99774E400
0.99846E400
0,99360E400
B,948761400
0.94562E400
^,98667E400
0.93469E400
0.946151400
0.9S336E400
0.91944E400
0,95304Et00
0,941S3E400
0,99831 E4>00
0, 10t^0EE401
0,6693BE+00
0.93148E400
0.96146E400
0.63120E400
0,71499E400
0.78123E+00
0.77786E400
0,8 4423E400
0,87165E+00
9,30000E+0J
0.9000CE40J
0B2!000E+04
14
IS
16
17
1*
19
2fl
C,10000E*03
0.21000E424
0.10000E4-C3
0 •V0000E403
0,21000E+04
0,J0000E+6J
0,)0000E*2)
0,31000Et04
0,)0000E40)
9,10,000E*2J
0«21000E404
0,30000E+03
0.90000E403
0,31000E^04
0,30000C4>03
0,90000E*03
0 21000E4>04
0^300001+03
0,90000E*03
0,21000E404
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PI.99744E400
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0,94113E400
0,«1714E*00
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0i184715C4B0
0.,88710E4a0
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0.
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0.29132E400
0, 31110E4>00
B.33816E400
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16BB0E400
175S7E400
a|88921E400
0,71795E400
0.7SS20E400
0,7959BE400
0,65666E400
0.69139E480
0.72B77E400
0.594S1E4K0
0.63452E4C0
0,66794E400
0.43S76E400
0.46307E4C0
0.4B169E400
fl.325561400
0,336721400
0.34913E400
0.23669E400
0.24031E400
0.24691E+00
0,12966E+00
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0,21000E404
0,30000E*03
0,90000E+03
0,2100CE4(4
0.30000E403
0,9>000E4e3
0.31000E404
0,30000E403
fl,21000E*04
0,300B0E4ei
0,90000E40!
0.21000E404
0,99790E«e«
0.99999E+0P
0,99999E«00
0.99999E4D0
0.9898SE400
0.99I2BE4C0
0.99392E400
0.99B96E400
0.99896E400
0.99971E400
0.1000I>E*01
0,10f!00E401
0.9999gEt00
0.999911*00
0.9999IE+00
0,99994E*00
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0.99994E400
0,99993E*00
0.99993E400
0.99993E400
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0.99990E400
0,99990E«00
0.9996RE400
U.9996SE400
0.99968E400
0.99964E400
0.99964E400
0,999«4E400
0.999S0E400
0.999S0E400
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. «S I
TH.J3J CLASTIC
KOUP
3Eir.SHIELDING rACTOPS
TEHPEPATURE
(DEC K)
SEir.5HlEl.DINr, TACTOHS AT IIGO VALUES (XN
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1
P .9914?.f.*ei>
2
0.997I2Et(!e
0.994lSK*ue
0.99I85E4SH
B.99415E+PB
0,99110Et00
4
0,?
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0.99133E4C8
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0.1
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<?.99953E+f>e
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0.10PPPE+O1
9
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0.99S7BEtf"B
0.99529K48P
0,99553K40e
0.98439E4(>e
11
0|99964Et0e
12
14
0.9991BE+00
0.99954E+00
0.99965E+00
0.99799E400
0.99679E4ea
0.999I3E+00
fl,996B7E*00
fl|8963BE«ee
15
0.95274E+00
0.99356E+00
0.97637E+00
0.93496E+00
0,64889E«0e
0,93458E+00
0.70394E+B0
0.48126E40C
13
0.90B15E40S
0,86S12E«0e
a|83327E40e
II
0,99343E*<!0
a,74789E«00
0.77676E400
0.73547E+00
0.76831E400
0.54657E400
17
II
19
0.9tS03Et00
0.S4686E+00
0.27987E400
0.29443E40C
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0.95959E*00
0.66214E+00
0.53715E400
0.39B34E400
0,409J4Et00
0.42342E400
0.21819E400
0,22076E*00
0.225«7E*00
0.59865E+00
B»BN«) IOU»l 10
21
23
2)
24
0.30000Eyei
0.90000E403
0.21000E404
0,30000E403
0,90000E403
0,2100GE4e4
0,300001403
0,90000E403
0,21000E404
0,30000E403
0.90000E403
25
03000eE4e3
26
0a90000E403
0,21000E404
0,30000E403
0,900001403
0.21000E404
ft. 10300E401
0.99619E40I9
0.9961SE400
0.9961SE400
0.10000E401
0,10<!0<9E4f>l
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0.10000E401
0,i0eeeE40i
0 , 1 0t!WCE4fll
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0,10K00E401
0,99612E4GG
0,99612E400
0,99612E4g0
0,9999flE40e
0,99998E40fl
0.99998E400
0,99999E400
0.99999E400
0,10000E4V1
0,10B8?E«C1
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0,99600E400
0,99600E400
0,99600E«(J0
0,9999(E40e
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0,99991E400
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0,1000GE401
0,10008E401
0,10000E401
0,10(00E401
0.10000E40I
0.10000E401
0J99999E40«
0.99999E400
0,99999E«00
0,99999E400
0.99S99E400
0.99999E400
0J99996E400
0.99996E400
0.99996E400
0.99997E400
0.99997E400
0.99997E400
IN•2J2MUITIGROUP CROSS SECTIONS
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1- ,771 a 17235Et02
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19 ,766 «61761E+02
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31 .769 a 7956tE+fll
23 .766 t | 0 7 3 3 E t C 2
33 ,771 «1t)02EiC2
34 ,765 «11976E*e2
35 ,766 # 1 3 7 2 J I # C 2
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FACTORS
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(DEG H )
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0,99213E40«
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0,99977E400
0,99977t40e
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0.99337E400
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0.82352E+00
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0.99982E400
0.99413E400
K,99727LtB0
0.485B1E+00
0,b3185E*00
B.77396E400
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0,99299F.t«0
19
20
0,98221140.0
0,98753Et00
0.34953EtD0
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P»"233 ELASTIC
ShU-SHIEXnlKC fACTr.KS
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FACTOkS
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CAPTURE
SEl.f-SHmi.tNG
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FACTORS
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I I '•
(DEC
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