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LA-7675-MSInformal Report
ClC-l 4 REPORT COLLECTION
(6.-C
REPRODUCTIONCOPY
Jezebel and Godiva
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L%?LOSALAMOS SCIENTIFIC LABORATORYPost Office Box 1663 Los Alamos. New Mexico 87545
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~ AffirmativeActbn&mlOpportunityEmpbyex
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ThisworkwassupportedbytheUSDepartmentofEnergy,DivisionofReactorResearchandTechnologyandtheDepartmentofMilitaryAffairs.
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ThI. -P.?tWU vtevared u M ~CCOU.t 01 work IPOI!WVWJby lIM United States Govtmm.nt. Neither the Unltcd StalUnor the Unllzd S1.1,s DrPatlme”t 0( En.ray. “0, “nY 01 Ihir.Inpl.ayees. no, any 0{ their CC.”ltaclor$. Subeo”t,act.ll! 0,their ●IIPloYees. makes UIY ws??mw’. .xm.s or lmulied. orUN”.. MY i-d llabdllY 0, t-Po”dbihtY fOC the =*U-CY.completenru, Y usefulness of any Information. apparatus.vroducl. or Dr..e- dislo-d. or rrpr-nts shut IIS use wouldnot in frins. Privately owned rkchu.
UNITED STATCS
DCPARTMCNT OF CNCRGVCONTRACT W-7409-CNG. 36
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Jezebel and Godiva
R. B. Kidman
LA-7675-MSInformal Report
UC-34CIssued: February 1979
.-— AL
I
‘
.JEZEBEL AND GODIVA
by
R. B. Kidman
ABSTRACT
.
Various code options and input data are tested inthe calculation of the fast reactor benchmarks, JEZEBEL
238U;d2%D1vA”
Their effects on the eigenvalue andU central fission rate ratio are documented in
this report. Although the results can be used to im-prove past or future calculations, it appears that noreasonable choice of data or options can bring the cal-culated central fission ratio into agreement with theexperimental value.
I.
vide
INTRODUCTION
Nuclear data, nuclear data processing codes, and reactor physics codes pro-
almost endless opportunities to vary the input and calculation of any par-
ticular problem. Hence there is no single final calculational result for any
reactor-physics problem.
In this brief report, the results of varying only a few options are pre-1
sented for the critical benchmarks JEZEBEL and GODIVA. The resulting range
of parametric values indicate whether or not the tested option is important for
JEZEBEL or GODIVA. Some of the results can be used to correct past or future
calculations of JEZEBEL and GODIVA for the various tested effects.
II. DATA, CODES, AND RESULTS
The parameters studied while varying the tested options are the multipli-..,. ..-.
cation factor (K or eigenvalue) and the central ’55U to ‘3’U fission rate ratio
(R). The computed parameters for all the tested
perimental values in Tables I, II, III, and IV.
variations are compared to ex-
The calculated average central
1
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fission cross sections for 238U and 235U are also presented in Tables V, VI,
VII, and VIII, which helps one understand the behavior of R.
Two basic cross-section sources2 were used in this study, ENDF/B-IV and
preliminary ENDF/B-V. The MINX3 code was used to generate 50-group and 240-
group libraries from ENDF/B-IV, while the NJOY4 code was used to generate 50-
group and 185-group libraries from preliminary ENDF/B-V data. (The preliminary
ENDF/B-V data did not include234
U, so NJOY was used to process the ENDF/B-IVn-tL.3+
u
used
with
data into the NJOY libraries.)
Several different fission sources were tried. The old 50-group chi vectors
with JEZEBEL and GODIVA were generated from a simple fission spectrum shape
nuclear temperatures of 1.41 and 1.35 MeV, respectively. More appropriate
composition-dependent fission sources were obtained by weighting constituent
;s~~tupech~ .Zectorswith the isotope’s density and volume average cross section
‘:-onprofi.’ction.The individual isotope chi vectors for the various
n so rces and group structures are obtained from the MINX and NJOY
‘t ->..,.:fi%ve. The volume averaged cross sections for neutron produc-
.) ;+ . LaKen ‘t-onthfl 50-group, S48p3 0NETRAN5 runs that used the old chi
?hb ftirJEZEBEL we have composition<ependent fission source vectors
‘~~~!;~ar,d24G-group structures, based on ENDF/B-IV (LIB-IV) and in
,~ dnd .185-groupstructures based on preliminary ENDF/B-V (PRE-V).
.’& . Tr CGdIVA %-eregenerated in a similar fashion. All of the chi
.. .nu gcc~p structures are displayed in Appendix A.
Ali of the results presented in this report were generated with the ONETRAN
code setup according to the JEZEBEL and GODIVA specifications of Ref. 1. ONETRAN
is coded to accept cross sections in several different formats. It can accept
cross sections directly from MINX or NJOY, in which case calculations can pxoceed
at any Legendre order but only with infinitely dilute cross sections. On the
other hand, ONETRAN can accept cross sections from the diffusion theory code
lDX,6in which case, depending on the lDX options, calculations proceed with
self-shielded and flux-iterated cross sections but only within the transport
cross-section approximation (P1,2)“
Some of the specific entries or omissions in the table labels have the
following meanings.
FF=iterate - an iteration between f-factors and compositionwas performed toobtain effective self-shielded cross sections.
6
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10
FF=l - f-factors were set to 1.0 to induce the use of infinitely dilute crosssections via lDX.
Sige=5 - five iterations between the elastic removal cross section and flux
were performed.
Sige=O - the input elastic removal cross sections were used.
‘i- an ith Legendre order anisotropic scattering calculation was made. If PIis missing, a P. calculation with the transport cross section was made.
‘i -an ith angular quadrature order calculation was performed.
Comp. Chi - a composition-dependentfission source appropriate to the datasource and group structure was used. If there is no reference to chi,then the appropriate old chi was used.
N-group - the N-group structure was used. If there is no reference to thegroup structure, the the 50-group structure was used.
Full inelastic (elastic) - a 50 x 50 matrix was used to describe inelastic(elastic) downscatter. All of the ONETRAN runs utilizing the MINX orNJOY cross sections directly used full inelastic and elastic down-scattering matrices.
All of the rows and columns in each table are numbered to facilitate com-
parisons. For example, in Table 1, if we let E(i,j) represent the eigenvalue
in the ith row and jth column, then E(6,11) would be 1.00761.
III. PARTICULAR EFFECTS
A. ENDF/B-IV Cross Sections vs Preliminary ENDF/B-V Cross Sections
The effect of different cross-section sets can be obtained by compar-
ing results from calculations that differ only in their cross-section input.
For example, if one forms the following differences in Tables I through IV,
E(i+6,j) - E(i,j) for i = 1, ....
it becomes obvious that for JEZEBEL, the
increase K by ~0.00870 and increase R by
6andj=l, .... 53 11, 12 ,
preliminary ENDF/B-V cross sections
‘W.00801. For CODIVA, the preliminary
ENDF/B-V cross sections decrease K by %0.01726 and increase R by %0.00367. Fur-
thermore, these differences are not very sensitive to the angular quadrature,
Legendre order, self-shielding treatment, or elastic removal treatment.
.,---,.,
B. Fission Source
The effects of using various fission sources are determined by taking
the following differences in Tables I through IV,
E(i,5) - E(i,4) fori=l, .... 12 .
With respect to using the old chi (see Appendix A), the effect of using a
composition-dependentchi depends on which cross section source is used to gen-
erate the composition-dependentchi. If PRE-V is used, a composition-dependent
chi for JEZEBEL will decrease K by%O.00019 and increase R by ~0.01420, while
a composition-dependentchi for GODIVA will decrease K by %0.00162 and increase
R by%O.01141. If LIB-IV is used, a composition-dependent chi for JEZEBEL will
decrease K by%O.00042 and increase R by%O.00366, while a compostion-dependent
chi for GODIVA will decrease K by~O.00066 and decrease R by ~0.00982.
The fission source affects R much more than K, probably because of the
threshold nature of the238
U fission cross section. The R and K effects are
larger for GODIVA than for JEZEBEL because238
U is a constituent of GODIVA’s
composition.
The above differences do not change significantly with angular quadrature
of four and larger.
co Cross Sections and Fission Source
It may be more meaningful to compare the results of using cross sections
and composition chi as determined from PRE-V with similar results from LIB-IV.
The differences,
E(i+6,5) - E(i,5)
give us that comparison.
%0.00893 and an increase
for i = 1, .... 6
Totally PRE-V for
in R of~O.02587.
s
JEZEBEL yields an
Totally PRE-V for
decrease in K of %0.01822 and an increase in R of~O.02490.
Do Group Structure
With respect to the 50-group results, the effects of the
increase in K
GODIVA yields
185-group and
group structures are determined from the following differences,
E(6,6) - E(6,5) and E(12,7) - E(12,5) .
For JEZEBEL, the 185-group structure lowers K by %0.00008 and lowers R
of
a
240-
by
‘W.00087 while
W.OO41O. For
12
the 240-group structure lowers K by W.00035 and lowers R by
GODIVA, the 185-group structure lowers K by ‘W.OO1O4 and lowers
.
.
R by ‘UI.00169while the 240-group structure lowers K by %0.00109 and lowers R
by%O.00934.
E. Number of Downscatterin~ Terms
The computer code lDX is often used to generate effective resonance-shielded
cross sections. It is common practice to limit the data input by limiting the
number of inelastic downscattering terms to less than the number of groups. The
effect of such a data reduction was tested on JEZEBEL by comparing results from
a run that included all downscatter groups with a run that limited the number
of downscatter groups to 10,
E(10,14) - E(10,11) .
Limiting the number of inelastic-downscatter terms to 10 decreases K by
%0.00002 and decreases R by ~0.00076.
F. Elastic Scattering Matrix
Normally in lDX, elastic scattering is treated
moval term. The effect of providing a full elastic
on JEZEBEL,
R by
G.
E(10,15) - E(10,14) .
with only one elastic re-
scattering matrix was tested
Providing a full elastic scattering matrix does not affect K and decreases
only %0.00001.
Elastic Removal Iteration
The elastic removal cross section can by highly sensitive to the intragroup
flux shape. An option in lDX allows one to use an iterative procedure between
flux shape and elastic removal cross section, otherwise the input elastic re-
moval cross section is used. This option was tested,
E(i,13) - E(i,ll) fori=l, ...,6 , +
and for JEZEBEL, iterating does not affect K and increases R by only %0.0C)CI09.
For GODIVA, iterating decreases K by%O.00012 and increases R by%O.00002.
H. Self-Shielding
The effect of using self-shielded cross sections vs using infinitely dilute
cross sections is measured by the differences,
E(f,13) - E(i,12) fori=l, .... 6 .
Self-shielding for JEZEBEL increases by.~)0.00010and decreases R by ‘W.00017
while for GODIVA it increases K hy ~0.00013 and decreases R by @.00031. Quad-
rature order has little effect on these differences.
. ....,
I.. Angular Quadrature and,Legendre Order.., .,, ., ... .. ,,
Several series of,sf and Pf.ca$culationshave.been made to test the ap-
proach to SmPm. In general, the approach to Sm or Pm is relatively unaffected
by group structure, fission source, cross-section library, angular quadrature,
or Legendre order. The tables show that S48 and P3 calculations are well into
the relatively unchanging part of the asymptotic approach to Sm and Pm.
The tables allow one to convert practically any SiPi calculation to an
S48P3 result, which is also very close to an SmPmresult. However, the monotonic
and smooth behavior of the Siresults allows one to use plots or numerical ex-
trapolations to reasonably estimate the S48- Sm difference. We have estimated
this eigenvalue difference for JEZEBEL and GODIVA to be ‘W.00009.
---4 4r -4...!.. .Ad
J. Example ,“ . .-- .
Suppose one had made, for JEZEBEL, a transport-corrected shelf-shielded S16
26-group transport theory calculation based on a 42-group library with 10 inelas-
tic downscatter terms, generated from ENDF/B-IV. If the ,uncorrectedeigenvalue
was 0.99734, it might be brought up to date in the following fashion.
0.99734 uncorrected eigenvalue
+ 0.00002 10 downscatter + full inelastic matrix [E(10,14) - E(10,11)]
- 0.00035 42-group +.240-group [E(12,7) - E(12,5)]
- 0.00337 transport corrected + P3 [E(10,4)
- 0.00088’16 + ’48
[E(12,7) - E(10,7)]
- 0.00009’48
+ S@ (see Sec. I above)
+ 0.00870 ENDF/B-IV+V [E(6,4) - E(12,4)]
1.00137 corrected eigenvalue
.:,: ,.:.
- E(10,12)]
.
.APPENDIX A
1 5, c. .. .), -r ,,,..
GROUP STRUCTURES AND FISSION
The following tables show the group structure
group, 185-group and 240-group structures.
14
SOURCES
and fission sources for 50-
TAELE A-I
=.d-GP S1RUCTII17F ANn FI\SION sflllRCE VFCTORS (NtlJTRONs~F ISslON)
GP—
ENERGv Itlti(Fv) MII)TM
I 2,31!Pb40E+Id7~ l,nankttaE+273 b.@b531E+d6
S.6?879E+86: 2.2313aE+db6 !.35335Etd67 0.20851?E+LWo U.Q7871E*IV!9 J,1377u2E+W
10 5.0197sE+W11 2,351?8E+0512 1.R3156E+13913 t.4abU2E+4Y14 1.tta9aE+0515 ll,6s17nE*i3ulb 6.73795E+4u17 5.2u752E+OII18 ●.aS677E+9a19 1.t827BE+Ua2B 2m471375E+0421 !.93a45E+b3a22 1051734dE+B@?5 1,17W8E+9424 $,li882E*9325 7,tu\70E*0326 9,53t384E+i3327 4.3k37a3E*0328 S.35Q63E+OS29 2,6125QE+’2S3a 2,03a6w+ti331 1.58a*lE*liL;32 1,23U1SE+OS33 ~.bllt7E+id?3(I 7,UE)518E+132%5 S.829U7C+U2~b 4,5399~E+@237 3.5S575E+U238 2,75365E+’d?39 1.b701?E+B248 1,M131dtE+0241 6,141321E+01U2 3.72bbSE+#l43 2,2bU33E+UtUil t037096E+UlU5 80315z9E+0046 5,@0348t+Utl47 3,t159i7?E+4#u13 1.B5539E$LMU9 1012535E+L471S0 6082561!E-dt
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2.a3n9ut9kit2*2uv~qk9Llii,79azuc=uil,lb35nE-Idl3,nJ*16E013z7,njs78E-*2
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3o116T3Emti62,1u233E-k4bl,a7.?S3E-U6\,mI~12E-06101f379E-065,suao5E=07.?2.b1935EoL47to?3733E-U7S,i3Uu8iE-i38~,76a9?E-ldRl,3Ma~7E017n6,!bC308E-Uq2oq10fl\E-ti91.37ab9Eoti96.09313E-I?3.mb7\4Eolm2.7a567E.la
[email protected]?31tiF-ml2.2n378E-ai1.7b05bF=911.12bP6F-ml3.b823kIE-a22.7t262tQ@21.9692bE-n21.ut297c-~?l~U10#15E-02/.l?ul?F.a55,0!M83E-m33.ullQ67EQ@j2,4a995F-@[email protected],858blF-c+a5.40i19E-t3a1.71075f-na2.5a87kft=w1.7s027F.a4i.201euE-aa8,[email protected]@53.E190TlF-n52p67164E-a51.8S4b3F*eb1.25992E-95LI,65293E=065~9a3a5E-a64.W2$7E-062oen3e9E.ab1.92b18f=-61.J2323F-a69.0W69C-P71.C953b7F-064.971119F-n72.3awi0E=a71.l@891F-n75.d3b%[email protected],[email protected]?,5Ew367r01u2.199Q7E-1L4
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.
15
TABLE A-II
1e5-~9sT?IJCTURF ANO Frsslnti snuRcF vEr7nas
~t.JLf?Gv
;Ev)
z*aMlwE*ilT1.8bR25E+ti71.bal!7Pt*k47105b8JlE+d71,U911!3E+!JY1,U5U99E+,37
l,019tY7E+8~10384A3E+147\OlU9t3hE+A?l,316%TE+d?lo?O~MSE+ti?1,15315E+47l,nk3flMaE+d78oHZU9TE+067,78Rc+1E+13A6,137289E+d6b,k7b531E*B65.3S261E+U6u,723b7E+t46a,lbR6?E+063.67879E+063,2U6S3E+4b2.865k45EtH6Z,528Ui3E+k!62,?313t?E+’d~109691?E+06i,7S77UE+@6l,S5355E+db1,35339E+96t,19433E+@&10C3539QE+L369,1uJlU5E+k35802B8s13E+W5702u39FiE+0q6039279E+US5,6u161E+u54.97R7!t+klq~,39369E+0?S,1377U2E+L_!53.u218tE+Id<3,019711E+05Zo6b491E+aq2,35178E+iM2ot37543E+t3G1083156E+LI$1.6163%E+r351.u261J2E+A5l,25R8\E+d51,11C49tiE+059,8a3bbE+3U8.65179E+ou7063509E+306.73795E*8u509U622E+aiJS,?fJ75.2E+kJ4Q,63a9ilE+OIIUc08677E+MU3,636$6E+da3.1827nE+0a2,ni!n7*E+0a2,47875E*8ui?.187u9E+04
.
.
16
634)46s
66676869
H72737,!75
76777R79808182al
::8687
:;9@QlQ~
939495969791399100101lez103104I’as~’db10710810911011111211311411s116117118119120121122123124j25126li!7128129
l,Q3~U5E+UtYlo7tl~b2E+Ua1,’5B3uUE*IJ0l,3i?b78E+001,17F188E+BIIl,R3130E+k$@901iS82E+OSll,@14731E+017,i017uE+OS6,2b7z~E+B$3,53c4aac+a3U,R8t3QSE+0$4,367U;II+81~,Rd129E*0\3.35ub3E+klS2,9604$E+E132,61?59E+wI2,30560E+JS2,’2346RE*~31,79569E+ktl1,58461E*1331,3QRuI?E+03i,23fJlmE+1431.’aawulQE*05~,b~\lYE+@~h,U818ZE+0?.7mu851aE4eab.b05b~E+L325,829UTE+LlP8,1UU4QE4,3P
f4,5SQ9~E+id24,R0b5SE*k9il3,5357SC+k123.12Bz9E+@?~,7S~bst+klS2,as008E+a2Z,1U43UC*02l,89zssc+e2i,b7nl?C+@$1.U73V2E+IJ21.JW73Et02l,iu789E*’dP\,0i3ulE+IJD8093978E+0i7,88QJ3E+0ib.96231E*016,iau21E+ot5ma222sE+tdlU0713512E+014022285E+013.7d665E+al3.213R76E+d!2.9L123PE*OI2,5b129E+U!2.260J3E+ti!lo99473E+011,76055E+01l,3535~E+’dlt.3?89bE+’ai1,2’d9t37E+0!i.nb77BE+01Q.uzZU6E+(368,3152’3E+8(IT,S3R2ZE+II?db,u7%9SC+k165.7151iIlE+3aS.@U3aIJE+tI0
l,85SbttE=@u i?;02nQ9Fw@a;.52265E=0/l lpbt)~h4F=~lJ1.?b21)3E-WI \03~3f$7F-m($l,al17111~9gu lp15UQ6f=aQ0068bk!7E-05 9057ti137F-0!57020279E-05 7p93jj3F9m5S,07?U6E-OS 6.572\3Fwt45ll,Q%205~.g5 s,mu45~2Ewf15ll,t(3s8?E-05 4p512h7F-flsS,UL3UF17E9R5 3,7393UE=052.8zZIRE-U5 3,d9t3;~f-f152,33971!E.135 2P56755E-c451093967E-95 i?. I?7$BF-~5l,6flBOFIE-@5 1.763nlF-n51.33303E-05 lpQ6L393F-fis1.10sU7E005 l,211d63F-~59.t6f179E-D6 lp@P3?2F-G157.3V4Fj7E-i16 8~j13?bF-k36b.l?9526E-i76 bF8n9UsF-~65.~1n57E-Ob >p7~937F.rn6u.326k41E-06 4p731a9E-GlbS.S136ilE-flb 3,0?i16f-n62,C727SE=ilb 3p2U96bF-flb2,Ub(13FlE.ab ~.b~5?@~.6tb
2.0U282E.Ob Zp232f15F=f16loh9\U?E-t3h 1.8fJ9A9EDl161.UG1379E-96 lpS~319F-rn6t.tb]b9E=t36 i.27U~2F.Rb9.6Ubb5E.@~ 1.B53?k!F-ta6~.SOb7RE-a7 0p729?aF9n76.b2QllE-07 7~z35tlF-f173.49535E-H7 5P99682E-B7o,s5551E-o17 up97(4slF-n73.7764tE-07 UP1!9*8F-073.13flS7Emt37 3~Q14R9F=~7$.5951RE-B7 2p0Tk35UE-n72.16137E-197 2p3Qb$lE-07t.?83U5E=07 A~94QT7E-a71,478u6E-B7 [email protected]\E-B7 lp3~b?UE-n7lo@lbM;E-B7 1.lm7k3F-t178,a?267E098 9.181hoE-a13b,96?l/s~-@R 7pblId~9Fwt48~.T8ROlE=B8 b.sR6?8fmR84.?0857E-@n 5.21?9hlF9?183*e7R0f~.nn u,335ff5Ew1783.Po77flc.@n sy5Q3ai~=a82.7i586E.L4R 2~97fJ74F-082.Pb61Qr-OB 2.,u69~5F-L?e1.87R3RE=08 za0ufjf9E-a8lo55749E-On l;b9b6QF.@l!1.29t17E=08 1.fJ~b49F-~tl1.@7n58E-08 lelb5f16F-~r3
8.87112Eo09 9obbfJU9F-a97,~52bfiEB89 Bpi31j3w9f19bm~Va8QE-09 btbu087F-rn9s,052@~E-R9 5,5W51~F.n9U.t85b7?-09 UFsbjABF-393otJbb#>E-eQ 3p7Rs!uf-@9z,61?16E-@~ 3p136$dF-C192,38Bs7E-B~ [email protected]\]5E-OQ 2,155?1Fcc’IQ1,633811E-09 1.7RblJlF.t19t.3559nE.UQ lpu80tbF-t491.t2309E=k19 19227!3F-a99031fJ37E-10 1.017\k!F-i+97,~i?ti3?Emlf4 8.u?552f-13
27
u;uso(lq~+kln3.92786E+WS.Ub63SE+afls,31591aaE+0#z.b995@E*Bn2,S0237E*U02.3\6eSE+0a2.25113E+d@2,t72j3E+0n2,Gi9ati8E+0ti2,0179!E+IAPl,9J56@E+0ml,8553Qt+en1,T26138E+J8l,svu9sE+Bal,aS?aQE+oaI,awwat+ea103’J7a~E+Bhl,lb638E+13d1.12SME*U91.I1986SEO06l,B721fE+’JLll,#1623!E+0111.05zsaEeiln1.@[email protected],5@6~sg0L!~8,7b425E=f217.0W7QE-’6!kJ.8iv3bllE=iJlb.?59611E-13tS.31570E-915,B3235E-131d.1701bE=01a.1399aE=el3,5766SE-01S,?0628E-fd!S,B11ZPE=81a.9!3737E-rbl2.7a518E-1312051W3C-61t.?7b9flE=f211.13aamE-el1.a57alE-dl1,[email protected],69?ZUE-02a.27551E-02S,136116E-02z,(J49alE-e21.z396aE-e8b.32a72E.e3?,27b911E-@3706m219E=ea20S29CSE=WlaBiwa9E=OY
b;Q~bWIE-tfl5p7a5*5Cm!ti0p7b2a7Eml@3,9u6WWlB&t~6113F-lBbpi119a9E=llbm18713E-!l7pa?’7n9Fwli7pam199Fwllb.@9~>9~-11
7,3~9QbF-11bg97?79Fwlllp991J138F-li4lp072T6E-10l,017810E=la8pat3h8F9t2lpo2@h7Fmla9p@tg0Emtt~p7f16m6F-11l,b7b961?-tllpba2a2EmllS.35bk7Em12SpZ7S55FW!i?5pZ2bm5F-121.175R3EW111F77741F=11I,996*EJE-!lapausssrwfl5P(IM*UE=115,356#!zEDll2p87u6dF-11apu5839E-tl1.17RS6F-1$3pb53a!iE.113pb;0a7Fm132P12UQOE.!l1P25144UF=115P756$1F.lz2~baE1’wF.iz”S..b38q7F.l~5.18316F=1zb.2nC401E-1~1.129q2F911B$13171L4E91Zbpb~s77F.12ap7win5r=tz3917904Ewl~ipL16ut!5E-125p7b97UFm133PR2U18F.13b,a91+bFela7p~67b8F-15
t,013ME=lb .Z,97S771!m19
3pS17R5F-Ztia.tz!ta7E-21
.
18
I
.
TABLE A-III
2u8.GP STRUC?LJRC AND FXSSION sOURCE
EN~RGV(Ev)
1.Q9703E+ld71.Q6UR3E+F)7I,Q155UE+9Tl,8682sE+t371,82212E+E7i,777i3E+0T1,733?5E*071.b9t?UbE+’291,6U872E+B?1.bi38alE+kl?I,3683!E+137l,S2959E+il?l,U9183E+BflmU5U99E+07l,U19’d?E+O?l,[email protected]+071028483E+u71.2S232E+0T102214flE+Ilf101912’3E+OT1,1618SE+!27l,13313E+0tl,1051~E+UYl,f17788E+0T1.B51Z7E+B7i,02S32E+fJ?l.OIOflBVIE+tlf9,753i9E+i369.511?zQt*ii69,27744E*ae9,flU837E+0be.8dU9TE+’d68.ba7ii!8E+0b8,39U57E+0b8,18731E+#bf09851bE+@67,7880\E+0b7m59572E+067,U08113E+t967,22527E+ab~,R4h88E+Bb6,87289E+’Z)66@7G13t?aE+Li6b,bU76GiE+0bb,5Q23flE+ilbba5377@E+i16bnY7628E+0b6,2188?E+UA6,96531E*063,915S5E+06
5076Q5@IE+ti6S,UL1812E*f16S,22flIJbE40fIU,Qb585E+0b4,8U32?E+06110723b7E+064,b07i311E+k3ba,u9329c*l#6UO?7UlSE+0b4,RbS7t3E+0b
JEZEBEL1.ET14 L!a=xv
dlo7H CHf
7.4821B2Ew07t.U57U?E-Elb109736UE=962.6S078E~0b3.?3n8ME99bQ.Li6S53E-Ub6,[email protected]~8tiRE-t!51.~181<E-Os1.b783tEma52.1222!E-1352.bbs3bEm853.3261RE-05U.lR409Em855.@8163E-056.2z36?c.IzS7m97717E-@59017193E~1331,1’d399E-04lolalssgoeu1.fi7~51E-Ofil,8637UC-OaZ.1V627E=BUP.973R8E99Usmf10%Z8E-Qlu~mMQ@@UE=BbU.f13U6aE-Baa.bdSIRE-EIU‘3.t2Pl?E-04b.flb~VIE-9ab,8?bLlaE-@a7,0B3BC3E-048.~Quai!E-t3a*.&7301E=0U1.i0aR3E-OS1.i?30u6E-i!S1.3b6E$lE-iZsi.sit613r!-s3l,bbb77E-E3l,e317aE=t?32.0@[email protected]?E-048.6S3b3E-rnaBoesbflme-ea2.13EIn8?E-OJ3on22L3i!E-’d33025t5FlE-@33,a13SIj2E.f133.?S36UED@)3R,2Z873E=QIJ9.?81J4Ew03l,Ii~b9UE-8?
5,6@@UbE=B35,n131?lut=03b.lbBb5E=03b,aUt16E=@3l,S71VbE~02$,U02fAbE-i32l,~U91bE-@R
VECTORS
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6s64654667686Q71271727s7U7576777879808182as8465868788899@9192939499‘?b979899
10010110?.1031o11\’asl@b107108109110111!t2113114115116ii7118119ii?’a12112212312412512612712ali?v
3,[email protected]~E+’d6s.a9938E+0bS,321371E+0bS,2Ub5SE+06~olbb3tE+U63oiT8819E+0b3,FIl19UE+0b2,8b505E+0b2,7ZS3ZE+L362,592u0E+062,U6597E+1362.u251TE+B6~,38521E+’db2,3b52SE+B6203U570E+0b2.3ab86E+062,2b888E+062,2313tIE+062,t22u8E+ti62,9i691E+ab1.9691Z!E+’26l,9?0S0E+Obi,87308E+Iii61.82b8UE+’dh1.73774E+’66l,b929QE+06i.bi21CE+06i.S723~E+llbl,53155E+B6i,t19569E+i361.u227aE+ab1.3533SE+U6l,28T35E+061.22456E*1361,19u33E+136imlbu84E+0blold81d3E+061.GtS399E+f16lo133?5qE+0tI9,778311E+0gs,btbUOE+O~9.53692E+E59007113GlE+0q8,b2936E+0?B.2dR5flE+397,R’2817E+FIT7,0273bE+k497,klb51?E+k!56,72055E+B36,39?79E+0~b,i381BlE+3qS078441E+0qS,5a232E+a55,3bbU7E+Ug5.23397E+055,1fa47aE+0qQ,Q7871E+W3a.73589E+0Sa.50a92E+tisQ,?85Z1E+UY4.137b2?E+0ql,n77a2E*L133cb583?E+A~3,53aauE+os3,33733E+dq3.17a5bce05
!,bOZ01E=02l,tDQQ7E=02l,880klE=B?9,?21~8E-B39.92fll\EwBS1.@l10eaEDe7l,f12882E=@22,10b69E-fI?Za1b04UEm@22,21273Ewa22,2!i14.2E-027.$B9i2aEoi137,$72(IIE=a35,84158E=033.8B191E=037,b6~llE=9~7m63708E-flS7,bQC~6E.@S2,31040E=022.3i179E-e21.!5~7aEwBP1.15f193EDB2l,la?10Emf121.la2umE=’az2,?bb9~E=0?2,Bs7u3E=B21,[email protected][email protected]$8LIEwB22.~630bE-022.CIB8SSE-E21.96$!85E-B290S2969E-P3Q,;~babEwOs1.82flJlE=021.?6a5L4E-~21.b99bUE=B2R,2s29flE-d35,hZt6?E-1332.66727E=F131.5hna9E-Bz1.~B?Q3E=0~l,a371jQEDoi?
t.373513E-e21.31t4znE-n21.2a8zmE-lJ21.!8753E-Q2l,128f12E=B21.~7101E-t32l,01~3@E-fl?9.b1628F-03a.61Z59E-f!3a,a6sasE=e3U,[email protected]~a.~387!E-03fJ,t2n97E=037.6623QE-QI7.Z2S7hC-G!36,800QREm03b.IJ@5~7Em@>
6.me53Qe.03S.66S97ED03503COO!EDB3a.Q95UflE.U32,$O106E-03
lj59a~aF=02lpb9S\2F=02~p79069E.1329p298a3E,17J9oS17SbF-a39p7?bh3E=t139PV255WWC+32pao0b13F=m?zplf17asF01122P165C16F.C122P213?2F-927puS2A2F-037pa17~9fwn35P79731E=P3S,76c357F-R37p590!7Fw1137,37319E9n37pba393E-@32pJFlg19~.022,31039fw@2IF15422F-F12lp15SU5F-Gi2lp1536aF.t4zlp15eRlF-Gi22PZ8921F-022,2b6q0F-f12l~122qbF-G121P11436E-’72lpl~539F-n21.095(i9E-Fi22,1596UF-W2.llJ13F-~2a,a6z30F-022.0~7~3E-fi29P823Q7E-c439Fb7b>lFm~31.689TUP-G12l,a27a3E-c+2i,763ABE=@213F575?5F-83s.b37flUE-~32,77u?BF-?+31.b33>7F-~2lp5b759F-fi21p5n2f4bF.n21.437GilF-n2l,J72i2F.R21.3@9aJF-~2~*~u7J7F.m2
t.19b72E=~2li127har-a2l~J7fi?5F.R2lp@lub5F-t12apn7tiq7F.a3Up71865E=rn34.b~91bF-Fi3UpUR212F-f138~393Gi5F-b130p110f4E-q37,h5bI13F-ca37/2189bF-rn36P799UBF-93bput30tIdF.~3bea2k4tJ8E.C13
5pb59;lf=035,31619E-Fi32p53517E-a3
I
20
JEZEREL COPIVAEMEf?6V I. ETF+ LIE-IV
GPLIB-IV
(Ev) drg TH— CHI cHI—.
130 3,09b18E+0~151 X,91Q7UE+33132 2.9U~IIlE+0S133 Z,872tJbE+@9t311 2.13el!i4E+0q1s5 z.7hzs7g+eq13b 2os9911E+eq1s7 2,u72s9E*eg138 2,J5178E+a~1S9 Z.Z3713fiE+i?giue z,1279fc+egtill 2,0Z41QE+0~142 l,925u7E+e!l143 l,B31seE+eYluii l,7u2zuE+es105 l,699z2E+e~lUb 1,69727E+Mia7 1.6163~E*IB!lull 1.~7buuc+es1U9 1.u99sbE+eqlse 1.U26U2E+BS\51 l,3s686E+e~152 l,Z91161)E+ldq153 l,2277sE+eY15u 1016786E+M155 1.l109aE+eg156 908i3368E+i30t97 6.*5t7aE+ea158 7,bSSfj*C+OU159 6,7J795E+lBa168 6.Z5143QE+130161 S09U622E+04162 3,65622E+84163 s.2u752E+e4164 u,61e92c*e6i~s u,’d5677EtFla166 3068656E+0U
167 3.51752E+00168 S,U3t46TE+0Q169 s018278E+flU170 2.8iln79E+eu171 #!,6e584E4ea172 2.0787SE+f)a173 2.fl1755E+eu174 2.357EJ6E+Qu17S 2C18749E+00176 Z013348E+BU177 1C03GIU5E+BU178 1.7a362E*@(l179 l,5031JUE+EIII18Gl 1,32678E+80181 1.17ci138Etea~az l,e333nEt0a18s 9.tlne2E+e3184 8m13u733E+0;185 7.te17aE+e3186 6,?!6727E+83187 so5St?8aE+0J180 5.804slE+es109 u.szn2YE+es198 6,307113E+GIs191 U,0973!!E+@l192 3C7e7uaE+es195 3.35063E+123194 s,0ss39E+eI19s 2,eb3u$E*’asi96 207U6SUE+0S
ENEQGV
(Ev)
Z,612S9E+912*uf3sltE+@s2ai!48b7E+0!2.L13Ub8E+EX1.8U10bC+03l,bb586E+B31.56U61E+03l,5a733E+ns1.3bS139E+Bll,23u10E+as9.blll~E+’i327.u8518E+0t5.8Z947E+@~U,[email protected]+022,if4u5uc+n8t,b7n17E+B21.3ea7sc+’a?i,Fi13@lE+f127.889SSE+01b.14421E+k3!4.713512c+01~,726b~E+012m9a23*E+el2.2603JE+RIt,7bf#3SE+Jfi,37@[email protected]+0fl5aflL13U8E+0fls,9a7136E400
s.0S902E+13fl?,38237E40131.8S539E+U9
1,U4U98E+9G4l,12%35E+dfl
B.76429E-B!S.35613tE=Qtb,825b0E*alb.25t462E-k31
I.ETIIdIoTM
JEZEBEL COPIVAL18-Iv
cUI
#;b8qdt)E-tlb8,1aIJOUE-Ob7,Z2B87E*nbb$~1601E=R65p3~iaSlF-f162.S8933E-Qb2p2tbfi2F*6ibS,f#[email protected](J,33U18i!wab3.l!bq~CwOb2plu233F-flbipi)7a5sE=Rb1.@!2t2E-flbb,95b57E~B74,7ai37F-n73p~nbt9F9n72,25a69F-#[email protected]?ZF-F185p@/w19Fm%93pQ6Ua2F-n82pJRoR’aE-n8irb3bt0P-?181.12U62F9087~7?9Q0E-@95p31zluF-09j.t.5112F-n9z75G19t0F.R9IP72U671!-FIQlp18535F-f198.lUbf8F-tO5,599?0F-lId3.Bu827F-lB2;b4UF18F-tOlp017RL3E-102.0B6n2F-119.6n6fL4F-liJ,s95~sE=ll5m19113F-tt
259 5.3i579E=t31 :2S9 5.d8RU9rmil S;90152F-11240 ao13994E=01 10:631 1.2L4u43Ew10 1.29bS7E=llJ
1.QIOOWIE-’2S
.
.
22
.
TABLE A-IV
RELATIVE NEUTRON PRODUCTION RATES
.
Isotope
~
235U
238U
239PU
240PU
241PU
Used toProduce
REFERENCES
1.
2.
3.
4.
5.
6.
JEZEBELLIB-IV LIB-IV PRE-VOld Chi LIB-IV Chi
25.949
17.757
24.971
LIB-IVChi(TableA-1)
25.938
17.733
24.967
LIB-IVChi(TableA-3)
GODIVALIB-IV LIB-IV
Old Chi Old Chi LIB-IV Chi
17.050 16.989
21.971 21.957
4.078 4.036
26.193
17.647
23.646
PRE-V LIB-IV LIB-IVChi Chi Chi(Tables (Table (TableA-19A-2) A-1) A-3)
Pre-VOld Chi
17.096
21.586
4.055
PRE-VChi(TablesA-l,A-2)
H. Alter, R. B. Kidman, R. LaBauve, R. Protsik, and B. A. Zolatar, “EITDF-202Cross Section Evaluation Working Group Benchmark Specifications,” BrookhavenNational Laboratory report BNL-19302 (1974).
D. Garber, Ed., “Data Formats and Procedures for the ENDF Neutron Cross Sec-tion Library,” Brookhaven National Laboratory report BNL-50274 (1976).
C. R. Veisbin, P. D. Soran, R. E. MacFarlane, D. R. Harris, R. J. LaBauve,J. S. Hendricks, J. F. White, and R. B. Kidman, “MINX, A Multigroup Inter-pretation of ~uclear ~-Sections from ENDF/B,” Los Alamos ~cientific ~abor-atory report LA-6486-MS (1976).
R. E. MacFarlane and R. M. Boicourt, “NJOY: A Neutron and Photon Cross-Section Processing System,” Trans. Am. Nucl. Sot. ~, 720 (1975).
T. R. Hill, ‘“ONETRAN:A Discrete Ordinates Finite Element Code for theSolution of the One-Dimensional Multigroup Transport Equation,” Los AlamosScientific Laboratory report LA-5990-MS (June 1975).
R. W. Hardie and W. W. Little, “lDX, A One-Dimensional Diffusion Code forGenerating Effective Nuclear Cross Sections, Battelle Northwest Laboratoryreport BNWL=9S4 (March 1969).
23
.
.
Rintwl in the United SIatcsof Amcrlu. Amibhlc horn
klbml Twhnital lnfornutbn SWWLYUS Kkprtntent of ~ommcr..
52S5 Furl Royal RoIId
S@@k4d. VA 22161
001.02s 4.00 ,~~,yl 7.2S 2S1-27S I 0.75 3764M 13.oa sol .s2s 1S.2S026’0s0 4.s0 151-17s H.00 276-2430 11.00 40142s 13J5 ~~&~so 15.500s1437s 5.2s 17b2LM 9.00 301-32s 11.75 4264S0 14.00 551 -s7s 16.2S076.100 6.00 201-12s 9.2s 326.3S0 I 2.00 4s147s 14.s0 s76-tOo 16.S0101-1?5 630 226.250 9.50 15I .375 I?..S2 476-500 lslm 6ol-up
Nolc: Add S3.S0 for each additional 100-ptgc mcmvucnt rrom 601 pp. up.
