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I. INTRODUCTION
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PENDF: A LIB&Y o~ WCLEAR DATA Foi MONTE mmoz
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CALCULATIONS DERIVED FROM DATA IN THE ENDF/B FORMAT
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~~~~e ‘“ R. ~. ~klLW~, C. R. Weisbin, R. E. Seamen, M. E.
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Battat, 1).R. Harris, P. G. Young, and M. M. Klein
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I ABSTRACT
-!
A specialized pointwise evaluated nuclear data library in a format
suited for input to continuous energy Monte Carlo codes has been developed
from the ENDF/B at the Los Alamos Scientific Laboratory. Prominent features
of the data for a particular nuclide are as follows: (1) A complete
description of all alterations made to the original ENDF/B data is contained
in the file. (2) All resonance parameters are processed into point-wise
cross-section data for a specified temperature. (3) The cross-section data
for all reactions are placed on a common energy mesh sufficiently dense to
allow linear-linear interpolation between points to some specified tolerance.
Excess data points are thinned to a specified tolerance. (4) Angular distributions
of secondary neutrons are expressed as scattering angle cosine va
probability tabulation in which the angle cosine points are given at equal
probability intervals. (5) If the energy distribution of secondary neutrons
is expressed as a tabulation of secondary energy vs probability in the original
ENDF/B file, the secondary energy points are also recalculated at equal
probability intervals as in (4). (6) All gamma-ray production cross sections
and gamma-ray spectra are summed and expressed as a single isotropic,
nonelastic reaction. The gamma-ray production cross sections are given on
the same energy mesh as the other reactions.
The Evaluated Nuclear Data File-B (ENDF/B)l for-
mats allotinuclear data to be presented in concise,
temperature-independentforms which generally cannot
be applied directly to computational codes. This re-
port describes the ENDF/B data processing to gener-
ate a temperature-dependent“pointwise” ENDF data
file (a PENOF file) that can be used by computational
codes, such as the Los Alamos Scientific Laboratory
(LASL) Monte Carlo codes, which require cross-section
data input as a function of energy.
The PENDF data resulting from the processing are
output in the ENDF/B format. The data for a partic-
ular evaluation of a material, designated by a MAT
number, are given in several “files,’rdepicting types
of data, designated by MF numbers, and are given for
numerous “reactions“ or “sections,” designated by MT
numbers. A very brief description of the organiza-
tion of the ENDF/B data follows.
A.
Mp.1
..
The first section of this file, ~ = 451, con-
tains a wealth of Binary Coded Decimal (BCD) infor-
mation describing the details of the following eval-
uation. A complete list of references is usually
included, and an index of the data to follow is
given.
Other MT numbers are assigned for retrievable
numerical data in MF = 1; for example, MT = 452, 455,
and 456 are the sections for total, delayed, and
prompt values of nu-bar, or the average number of
neutrons per fission, respectively, given as func-
tions of energy. These may be tabulated or listed
as coefficients of a polynomial.
B. MF=2
l%is file contains parameters for resolved and
unresolved resonances, all designated by a single MT
number (MT = 151). The data for resolved resonance
parameters include lists of resonance energies, spins,
1

and total, neutron, capture, and fission widths, all
of which may be given for several values of L and j.
The unresolved resonance parameter data include av-
erage widths snd spacings for many regions.
If resonance parameters are not given in a par-
ticular evaluation, as is often the case for the
light nuclides, the minimum data required by the
ENDF/B format in MF = 2 is the scattering radius A
for the nuclide. This can be approximstedl by
A= [1.23(AWR)1’3+ 0.8] X 10 -1
(in units of 10-12cm)
where AWR is the atomic weight ratio
,
(atomic weight
of nucllde divided by weight of neutron) for the nu-
clide.
A special format is used for File 2 when only
the scattering radius is given.
c. MF=3
The “ameoth” cross sections are tabulated as
functions of energy for all reactions in this file.
Smooth “background” cross sections are given in the
resonance regions that are to be added to cross sec-
tions calculated from the resonance parameters for
some particular temperature. The nuclear reaction’s
evaluation is designated by the MT number; for ex-
ample, MT = 1 is the total cross section, MT = 2 is
elastic scattering, MT = 3 is total nonelastic, MT
= 4 is total inelastic, etc.
D. MF=4
2
The data for the angular distributions of the
secondary neutrons resulting from a particular reac-
tion are given in this file. These may be expressed
as tabulations of normalized probability va the co-
sine of the scattering angle,or as the coefficients
of a Legendre polynomial fitted to such a tabulated
distribution. A1.ao,the data may be expressed in
the laboratory or center-of-mass systems, and a
transformation matrix to the other system may or may
not be given. MT numbers (reactions) which appear
in MF = 4 must also appear in MF = 3.
E. MF=5
The energy distributions (spectra) of the sec-
ondary neutrons resulting from particular reactions
are given in MF = 5. These can be expressed as com-
binations of several “laws,” designated by LF num-
bers, which can include tabulated distributions (LF
= 1) as well aa a number of analytic functions, for
example, a Msxwellian (LF = 9). If an analytic func-
tion is used, a dependent parameter in the function,
such as a nuclear temperature flmay be expressed as a
function of incident neutron energy. If a combina-
tion of several laws is used to expreaa the energy
distribution of a particular reaction’s secondary
neutrons, the combination ia achieved by designating
a probability of each law holding as a function of
energy. The sum of the probabiliti~s over the laws
is equal to one. The MT numbers in MF = 5 represent
nuclear reactions and are in one-to-one correspond-
ence with those in MF = 3 and MF = 4.
F. MF=6
This file has been set aside for including dis-
tributions of secondary neutrons that are correlated
in energy and angle. When this report was written
no data had been placed in this file in any of the
ENDF/B evaluations. Klso, the format prescribed in
Ref. 1 for this file possibly will be revised before
the file is ever used.
G. MF=7
Thermal scattering law data [S(a,6)] are given
in this file. Because these data are temperature
dependent and are numerous for moderating msteriala,
special ENDF/B tapes containing only thermal data
are usually prepared. M F= 7 is included in these
tapes with thermal data up to about 3 eV from the
other files.
H. MF=12-MF=15
These are gamma-ray production files, which can
either be expressed as a multiplicity in File 12 or
as a cross section in File 13. The angular distri-
butions of the produced gamma rays are given in File
14, and the gamma-ray spectra are given in File 15.
The MT numbers in these files are in correspondence
with the MT numbers in the neutron files; that is,
they correspond to the gamma-ray producing nuclear
reaction. I%us, an MT = 102 in MF = 12 meana the
multiplicity of photons from capture for that mater-
ial and the gamma-ray production cross section for
capture can be obtained by multiplying numbers in
this file and section with those in MF = 3, MT
= 102.
I. MF=23,MF=27
These are the photon interaction files, which
are usually placed on a different ENDF/B tape so
that the data for all elements are kept together.
*
.

*
b’
●
4
II. FEATURES OF THE POINTWISE EVALUATED NUCLEAR
DATA FILE - PENDF
The Pointwise Evalusted Nuclesr Data File
(PENDF) is specifically designed as a data base for
Monte Carlo codes. For rapid retrieval during Mon-
te Cat-1oexecution, cross sectione should be stored
on as few energy meshes as possible, for example,
a common energy mesh for all reactions for a given
nuclide. In addition, no interpolation more sophis-
ticated than linear-linear should be used. In log-
log interpolation, three logarithms and one exponen-
tiation may be required to interpolate one cross
section, which takes about 100 times longer than
linear-linear interpolation on a CDC-6600. Finally,
when calculations of cross sections from resonance
parameters, phase shifts, etc., become sufficiently
time consuming, it 1s more efficient to calculate
point-wise cross sections beforehand and store these
for later retrieval during Monte Carlo execution.
Nuclear data other than neutron cross sections
can also be optimized for Monte Carlo retrieval.
The angular distribution data of secondary neutrons
emitted in specific nuclear reactions are best ex-
pressed by a list of scattering angle cosines that
delimit intervals of equal probability. Similarly,
a list of secondary energies delimiting equal prob-
ability intervals for the energy distribution of the
emitted neutrons is also desirable.
In applying Mate Carlo to perform coupled neu-
tron-gamma-ray transport calculations, the source
terms for gamma transport are derived from the neu-
tron flux and gamma-ray production cross sections.
Thus, having gamma-ray production cross sections on
the same mesh as the neutron cross sections is con-
venient. Because this source term includes gamma-
rays from all nuclear reactions, having the contri-
butions from the various reactions summed is also
convenient. Finally, an isotropic representation
of the gamma-ray spectra binned in a “standard” neu-
tron and photon group structure is desirable.
To Implement all of the foregoing, the follow–
ing changes are made, by file, in transforming
ENDF/B data to PENDF data.
A. MF=l
AU original BCD information in MT = 451 is re-
tained, but additional information is added, includ-
ing the processed temperature of PENOF data, the
Doppler broadening techntque, tolerances set for
linearization and thinning, pointwise resonance de-
scription,etc. The data index is corrected to prop-
erly describe the PENDF data to follow.
If the data for the average number of neutrons
released in total (klT= 452), delayed (MT =
455), and
prompt (MT = 456) fission are represented by coeffi-
cients of a polynomial, these are transformed into
tabulated values [average number of neutrons ~ vs in-
cident energy (E)]. The points in the tabulation are
sufficiently dense to allow linear interpolation to
within an input specified tolerance. This tolerance
is recorded as part of the BCD information given in
MT= 451.
All other MT numbers in File 1 of the ENDF/B
data are copied without alteration onto the PENDF.
B. MF=2
Only the special representation that gives the
scattering radius A is used for File 2 in the PENDF.
AKL1resonance parameters in the ~F/B are converted
into pointwiae data for the specified input tempera-
ture and are added to the smooth data of File 3.
c.
MF=3
AH smooth cross-section data in PENDF are sup-
plied on a common energy mesh, which may vary from
material to material. Cross sections are tabulated
at energies greater than or equal to the threshold
for the reaction; superfluous zeros are thus sup-
pressed. The common energy mesh is sufficiently
dense to permtt linear-linear interpolation for cross
sections as functions of energy, accurate to within
some input-specified tolerance. This tolerance is
recorded in MF = 1, MT = 451. A total cross section
is supplied, which is the sum of all partial cross
sections. The parametric representations (ENDF/B
File 2) are expressed as smooth cross sections (PENDF
File 3) at a given temperature. If the ENDF/B data
contains unresolved resonance parameters, several
tables are given. The information contained therein
represents the cross section as a function of energy
for particular values of the self-shielding parsme-
ter U. (expressed h barns per atom). The format
used for this data is not a “legal” ENDF/B format,
and the energy mesh used in these tabulations in-
cludes only points in the unresolved resonance re-
gion.
D. MF=4
The angular scattering distributions are first
thinned (as a function of incident energy) to the
input-epecifled tolerance (recorded in MF = 1, MT =
3

451) and then expressed as a tabulation of probabil-
ity as a
function of cosine of scattering angle ~.
The values of u are chosen to delimit intervals of
equal probability. The number of u values is speci-
fied by the user.
E. MF=5
This file is copied directly from ENDF/B to
.
PENDF unless the energy distributions for secondary
neutrons are expressed in tabular form (LF = 1,
where probability is tabulated as a function of en-
ergy). In this case, the secondary energy mesh is
recalculated at points to delimit intervals of equal
probability. As in File 4, the number of energy
points for the secondary energy mesh is user speci-
fied.
F. MF=12
All File 12 data on ENDF/B are combined with
the appropriate pointwise data in File 3 and are
added to File 13. There is no MF = 12 on the PENDF
tape.
G. NF=13
All gamma-ray production cross sections are
placed on the basic incident energy mesh used in
File 3 and are added together to produce a single
reaction. The total gamma-ray production cross sec-
tion from this reaction is considered to be produced
from a nonelastic cross section, and the reaction is
thus assigned an MT number equal to three (MT = 3).
H. MF=14
The produced gamma rays are approximated to be
isotropic in the PENDF. The isotropic format speci-
fied in Ref. 1 is used for this file.
I. MF=15
An input energy bin structure for both incident
neutron energies and produced gannna-rayenergies Is
used for this file. Furthermore, all reactions are
combined to form spectra for the single nonelastic
reaction, MT = 3. Estimates of the loss of accuracy
by treating the gamma-ray spectra in this manner are
given in MF = 1, MT = 451.
Any other information included in the ENDF/B,
but not referred to above, is copied directly to
the PENDF.
III. PENDF PROCESSING - THE ETOPL PACKAGE
The processing of the ENDF/B to produce a PENDF
is achieved with a system of linked codes which,
taken altogether, is called ETOPL - ~NDF/B to Point-
— —
4
wise Library. The flow of data between the codes
comprising ETOPL is shown in Fig. 1. Converting
ENDF/B resonance parameters to pointwise data can be
done either with the MINX2 code or the PNTETOE code.
In either case, the output is kept in a permanent
file for subsequent multiple use. The TOPFIL seg-
ment prepares a permanent File 4 in the PENDF form
after thinning the file. Because these data are not
temperature dependent, they need be prepared only
once for a specified tolerance. The TOPFIL code is
also used in preparing File 5 data in the proper
PENDF format. This area of the routine may be by-
passed if the ENDF/B tape does not contain materials
having MF = 5 data expressed with the LF = 1 option.
Output tapes from TOPFIL, MINX, or PNTETOE are
used by the ETOPL code proper, which prepares the fi-
nal PENDF tape, The main routines of this code are
linked together in an overlay structure aa shown in
Fig. 2.
The PNDFPRP overlay reads the tape output from
the other codes and combines these data with the un-
altered ENDF/B data. The resulting output is then
operated upon by the LUST segment, which Linearizes,
Unionizes, Scrutinizes, and _~ins the data.
—
An alter-
nate thinning method is available in the KLUST rou-
tine, and the SNELDIT routine transfers the Uo de-
pendent data to the PENDF tape. The final segment
in the code, GAMNADD, prepares the gamma-ray produc-
tion data in the required PENDF format. The details
of the ETOPL code links are further discussed below
and in the appendixes.
A. The Resolved Resonance Rezion
‘&o methods are available for producing Doppler
(temperature)broadened pointwise cross sections in
the resolved resonance region. These are the (4,x)
method and the kernel-broadeningmethod. The de-
tails and a graphical comparison of the two methods
are given in Appendix A. The (*,x) broadening tech-
nique is done with the PNTETOE code, which is a mod-
ification of the ETOE3 code. Only elastic scatter-
ing (MT = 2), fission (MT = 18), and capture (MT =
102) are handled by this code, and the output con-
tains only pointwise cross sections for these reac-
tions in the ENDF/B format. The data for a number
of nuclidea are included on a single tape, however.
Thus, aa ahown in Fig. 1, an ENDF/B tape must also
be used as input to the ETOPL code proper to obtain
the unaltered ENDF/B data when resonance data is ob-
tained from a PNTETOE tape.
Be
k-.
●
● .

4
4
(’””’’’a’a
‘“L’ “’?s-’”27””7
,1.
..
v
P ETOPL
{)
M F4/ t~F5
TOPFIL “ DATA TAPE
El/c
Fig. 1. Flow of data between the codes comprising the ETOPL code system.
ETOPL
PNDFPRP
SHELDIT
I GAMMADD I
Fig. 2. Main routines of ETOPL code linked
together in an overlay structure.
:-0
.
PENDF
Pointwise data that have been kernel broadened
are output by the IIINXcode. This output consists
of a single nuclide at several temperatures. Be-
cause each set contains all unaltered data as well
as the temperature-broadened data, an additional
ENDl?/Btape is not needed for ETOPL input. All MF =
3 reactions are broadened on the MINX tape.
B. Unresolved Resonance Region
Because only average data is in the “pointwise”
representation of the unresolved resonance region,
the data must be given for several values of the aelf–
shielding parameter u . The PNTETOE code uses the
0
J-function technique in the “point” calculation of
the unresolved resonance region, which is similar to
that used inMC2 (Ref. 4). No sequence overlap cor-
rection is provided by this metho-d. MINX uses the
subroutines of the ETOX5 code, which are similar to
those in MC2 but which allow for sequence overlap.
Details of the unresolved resonance region computa-
tion are given in Appendix B.
5
1

c. Secondary Angular Distribution - NF = 4, and
Secondary Energy Distribution - MF = 5
6
The TOPFIL code consists of two principal rou-
tines, LEGTHIN and PNTLIB4, for preparing the MF =
4 data in the PENDF format. All msterisla on one
ENDF/B tape sre prepared in one run of the code;
the LEGTHIN routine thins the number of angular dis-
tributions given for a particular reaction to some
input tolerance. The PNTLIB4 routine converts the
thinned distribution to tabular distribution on a
scattering angle cosine ?.Imesh selected to delimit
intervals of equal probability. Details are in Ap-
pendix C.
Routines from PNTLIB4 are also used for prepar-
ing data for MF = 5. This is necessary only when
the distribution of the energy of the secondary neu-
tron is expressed as a tabulation (LF = 1). Data
in this form are trsnsformed to tabulated data in
which the secondary energies are given at equal
probability/unit energy cut points. The analytic
forms of File 5 data are merely copied.
D. Merging of Pofntwise Resonance Data and Angular
Distribution Data with Unaltered ENDF/B Data -
The PNDFPRP Overlay of ETOPL Proper
A amsll code, PNDFPRP, takes pointwise data
generated from resonance parameters and takes out-
put from TOPFIL and combines these with the unalter-
ed data in ENDF/B. This processing is done for a
single material (MAT number) only. If output from
PNTETOE is to be used, an original, unaltered tape
must alao be mounted for the unaltered data input
for PENDF, as the PNTETOE output contains data only
for those reactions having resonance parameters (e-
lastic scattering, fission, and capture). If MINX
output is to be used, the additional tape need not
be mounted because the MINX ouput conta’insunalter-
ed data as well as the altered data. Finally, if
the evaluated data for the nuclide does not include
resonance parameters, only the original ENDF/B data
tape need be mounted for PNDFPRP.
The combined data for the single MAT is put on
a temporary file that is read by the LUST segment.
Provision is also made in PNDFPRP for changing ~
(MAT = 452) expressed as polynomial coefficients to
a tabulation. A special File 2 is added.
E. Linearization, Unionization, Scrutinizing, and
Thinning - the LUST and XLUST Overlays
File 3 smooth cross sections for a single ma-
terial are retrieved from the PNDFPRP output. Then,
reaction by rasction,a minimal number of data points
are added to permit linear-linear interpolation with-
in a specified tolerance in place of the original in-
terpolation scheme. Next, a data set is prepared
such that all reactiona are on a common energy mesh.
Finally, this mesh is examined for points lying with-
in a second specified tolerance (scrutinized),and
superfluous points are removed (thinned). Two op-
tions are available for thinning, namely, a standard
“three point” technique and a more sophisticated
“longest tunnel” technique.6 These two methods are
compared in Appendix D.
F. Shielded Cross-Section Data - The SHELDIT Over-
*
Both the output tapea from MINX and PNTETOE may
contain data for the unresolved resonance region for
several values of the self-shielding parameter a .
0
As an option, these data can be copied from either
tape, placed on the common energy mesh, and added to
the PENDF tape by the routine “SHELDIT.”
G. The Gamma-Ray Production Files - MF = 12, MF =
13, MF = 14, and MF = 15 - The GAMMADD Overlay
If the evaluation of the nuclide being processed
does not include gamma-ray production data, the out-
put of the LUST segment may be a permanent file. If
gamma-ray production data are present, however, fur-
ther processing is necessary for meeting the PENDF
requirements. ‘lhisprocessing is done with the GAM-
MADD overlay, which sums all reactions and places
the result (MT = 3) on the energy mesh common to
that of File 3. The overlay also calculate approx-
imate isotropic spectra for this summed reaction on
some input Incident neutron energy and secondary
gamma energy meshes.
Iv. INPUT SPECIFICATIONS FOR THE ETOPL CODE PROPER
As a normal procedure, the codes MINX, PNTETOE,
and TOPFIL are run separately for various combina-
tions of input parameters (temperature, tolerance,
sigma-zero, etc.). Their outputa are stored on
permanent files for multiple application to the ETOPL
code proper.
The card input specifications for the PNTETOE
code are the same as those for the ETOE code given
in Ref. 3, and the input specifications for the TOP-
FIL code are given in Appendix C. Input specifica-
tions for the ETOPL code proper, by overlay, are
shown in Table I.

4
4
column
PNDFPRP
Card 1
1-6
7-12
13-18
19-24
25-30
Cards 2-6
Format
16
16
16
16
16
1-66 6A10,A6
67-70 14
71-72 12
73-75 13
A!@@
MATA
IRES
NSEQT
LNUTST
NMl?5
COMENT
MAT
MF
MT
Conditional Input for LNUTST = 1
TABLE I
INPUT SPECIFICATIONS FOR ETOPL
Description
Desired Mat number on PNTETOE and ENDF/B tapes or on MINX tape.
Number of U. valuea used in unresolved region on pNTETOE taPe; if no
unresolved parameters,set to 1; if no resonance parameters or if MINX
tape is used, set to O.
Sequence number only for MINX tape to locate data for desired temperature.
For first data set on MINX or for PNTETOE tape, set to O.
Flag for conditional input if MT = 452 given as coefficient of polynomial.
Flag to denote whether MF = 5 data are to be read from tape 15; no =
O, yea = 1.
Five cards of descriptive Lnformstion to be input by user.
This MAT number will appear on the final PENDF tape.
Must be 1.
Must be 451.
A hand-calculated tabulation for MF = 1, MT = 452 is required if the original ENDF/B data are expressed
as polynomial coefficients. The tabulation must be in the proper ENDF/B format and must
include a SEND card.
Cards 7-n
Five cards for MF = 2 (the number resonance option) in the ENDF/B format are supplied here.
Card 12
1-6 16 NCD2 Number of cards in MF = 2 is always 5.
7-12 16 NCD32 Obsolete.
13-18 16 NcD318 Obsolete.
19-24 16 NCD302 Obsolete.
25-30 16 LNU Obsolete.
Card 13 - END
1-6
LUST
Card 1
1-80
Card 2
1-12
13-24
Card 3
1-6
7-12
13-18
19-24
16 NCDB Number of carda for each reaction (MT) in MF = 4 as taken from TOPFIL
output.
16A5
E12.5
E12.5
16
16
16
16
TITLE lmy description to appear on output listing only.
EPS1 Criterion for linear fit of ENDF/B data.
EPS2 Criterion for thinning. Set to small value (10-5) if thinning is to
be done in KLUST.
NA’rtw Mat number used in I?NDFPRPfor PENDF tape.
IDTAPE Tape ID, not checked.
NDFB Output unit of PNDFPRP, usually 11.
MODE Mode of PNDFPRP tape, alwaya 3.
7
.

columns Format M Description
Card 4
TABLE I (cent)
1-6 16 K1.ST To call KLUST, aet = 1, otherwise set = O.
Card 5
1-6 16 LABEL Labelled tape set = 1, unlabeled tape, set = O (i.e., ENDF/B tape
label, usually 1).
SHELDIT
Card 1
1-11
12-22
23-33
Card 2
1-11
12-22
Card 3
1-11
12-22
GAMMADD
Card 1
1-11
12-22
23-33
34-44
45-55
56-66
67-70
Cards 2-11
111
111
111
Ill
111
Ell.4
E1l.4
111
Ill
111
Ill
111
111
14
1-66 6Alo,A6
Card 12
1-4 14
5-8 14
Card 13
1-4 14
I.FSHELD
NPos
NPTE
MATA
NPISS
EL
EU
MAT1
NcDs13
NCDS14
NCDS15
NCDICK
NSICK
IDTP1
HOL
ILIST
IPRINT
NCASES
Card 14 to Card 14 + NCASES (Card X)
IFSHELD = O, program returned, i.e., no multitables of UO desired.
IFSHELD = 1, multitables wanted.
Card number to position tape NPTE to proper temperature.
Number of either PNTETOE (usually 1) or MINX (usually 12) tape.
Mat number of desired material on NPTE.
NFISS = 1, MT = 18 present on NPTE; NFISS = O, no MT = 18.
Lower energy of unresolved resonance region.
Upper energy of unresolved resonance region.
Met number used for PENDF tape in PNDFPRP.
New number of cards in MP = 13.
New number of cards in NF = 14.
New number of cards fn MF = 15.
New number of cards in dictionary.
NSICK = O, no gamma-ray production on tape. NSICK = 1, no unresolved
resonance information on tape. NSICK = IRES, number of values
of 00 used in unresolved resonance region.
Final tape ID number.
Ten cards of descriptive information are input by user.
ILIST = O, output file rewound; ILIST = 1, output file not rewound.
IPRINT = O, print suppressed, IPRINT = 1, print not suppressed.
Number of cases of gamma-rayproductiondata on tape, i.e., MAT, MF, MT.
1-4 14 MAT One card for each combination of MAT, MF, and MT that is on the tape.
Data are usually for a single MAT number.
5-8 14 MF
9-12 14 NT
Card X + 1
1-4 14 ILIST Redundant, aet = O.
5-8 14 IPRINT Redundant, set = O.

columns Format Symbol
9-12 14 INTMPUN
13-16 14 IPUNCH
Card X + 2
1-4 14 KI
5-8 14 KO
9-12 14 NMT
13-16 14 LMTFTR
17-20 14 1S014
Card X + 3
1-4 14 NE
Card X + 4 - Card Y
1-80 8E1O.3 SB
Card Y i-1
1-4 14 NIE
5-8 14 MATOUT
Description
Not used, set = O.
TABLE I (cent)
Flag for tape output, set = 1.
Data tape, aet = 1.
Data output, set = O or 3.
Number of MTs in calculation.
Not used, aet = O.
Anisotropic flag, set = 1.
Number of gamma-ray bins.
NB values of gamma-ray energies. Read in any order. Code will order
and automatically set lower bound. Energies in MeV.
Number of incident neutron energies.
Output MAT number, not used, set = O.
Card Y + 2 - Card Z, NIE cards, each card as follows:
1-10 E1O.3 ENL Lower energy of incident neutron energy bin.
11-20 E1O.3 ENH Upper energy of incident neutron energy bin.
21-30 E1O.3 XNAVG Number of points used in averaging each bin (set = 10).
31-40 E1O.3 THETA Set = O, not used for ETOPL.
Card Z - Final card, one card for each MT to be processed.
1-1o E1O.3 XMTFTR Not used, set = O.
11-20 E1O.3 XMAT Mat number in floating point.
21-30 E1O.3’ XMT MT number in floating point.
KLUST
Card 1 (Note: Card is read in main ETOPL overlay.)
1-6 16 NBT(91) Tape number of last tape made by previous routine. For NBT(91) = O,
KLUST not called.
7-12 16 NBT(92) Scratch tape number.
13-18 16 NBT(93) Final tape number.
Card 2
1-80 8A10 ITITLE Any title that will appear on output listing only.
Card 3
1-1o ElO.? REL Relative error of data fit.
11-20 E1O.7 RELl Thin tolerance.
NOTE: KLUST cannot be used in this version of ETOPL for materials for which multiple 00 tablea
in the unresolved resonance region are desired, because this routine presently w~ll not
handle the “illegal” format used in this representation.

v. SAMPLE PROBLEM
To illustrate the various features of the PENDF
format and to demonstrate the flow of data through
the ETOPL code package, a special nuclide was con-
structed by taking the data for ENDF/B-111 U-235 (MAT
1157) and appending gamma-ray production data prepar-
ed for 23’U, ENDF/B-IV. These data were placed on a
PERMFILE named TIIIG on the CDC-7600 for subsequent
access by the codes in the package. The specific
flow of data is shown in Fig. 3. In this example,
the PNTETOE code is used for preparing the pointwise
resonance data for ETOPL; note in Fig. 3 that the
code RIGEL7 is used to convert the ENDF/B data file
(MODE3) tO a “MODE2” data file. The Input specifi-
cations for RIGEL are given in Ref. 7. Also note
that because no tabulated secondary energy distribu-
tions are in the data, TOPFIL will prepare a tape
only for MF = 4. A list of the cards used for the
sempleproblem is given in Table II. Note in the in-
put that LNUTST is zero as MT = 452 is given as a
tabulation, and that the KLUST routine is not called
because multiple aO tables are used.
Listings of “before” and “after” outputs for the
example are given in Appendixes E and F, respectively.
Differences between the ENDF and PENDF formats can be
determined by comparing these two listings, Note the
additional BCD comments and updated data index in
File 1 of the PENDF listing. Note the absence of res-
onance parameters in File 2 of the PENDF listing and
the linearly interpolated File 3 data on a common en-
ergy grid. Uso note the “illegal” format expressing
sigma-zero dependence in File 3, and note that all
secondary energy distributions are given as tabula-
10
TABLE 11
\
Fig. 3.
t
PNTETOE
Flow of data for sample problem.
tions in File 4 with 33 points delimiting equal prob-
ability areas except for the special 2-point iso-
tropic representations. Finally, note the gamma-ray
production files, specifically the absence of MP =
12, the single MT = 3 on the common energy grid used
in MF = 13, the Isotropic MF = 14, and the File 15
spectra given only for MT = 3 and on incidnet neu-
tron and secondary photon energy meshes that have
been input to the problem.
min.
LIST OF INPUT FOR SAMPLE PROBLEM
The running time for the sample problem was -5
$JOB(NAME=T2HMH,UA=9502K31 1201ETpLSYSSCL=USTL=gM~LC=400000 *PL=7009AC=”
$OPFN(FS=FSKT14*SCT=1OOOO)
$OPFN(FS=FSET12*SCT=IOOOO)
$CRFATE(FS=TIIIG*TYPE=SP,CL=U9REL=NEVER)
$IF.
$OPERM(F5=TI IIG*FSI=CCD)
$cREVER (FS=TIIIG*MT=XXO09817!CL=II)
~ltp~2(D,0,p=TII IG,c=FsET12)
s. TIIIG IS pERMFILE CONTAINING DATA FOR MAT 57.
s. THE MAT 57 DATA HAS BEEr+ pLACEf) ON TApE 12.
.$CREATE (F5=ETPLSYS9TYPF=SP9CL=U9REL=NEVER)
sIF.
$OPERM(FS=ETPLSYS,FSI=CCO)
‘5CREVER(FS=ETPLSYS,MT=XX0012649CL=U)
$IJPDATE( P=ETPLSYS,ASF=Q,L=O)
$PUtJ(I=COMPILE,C=S)
029pR=?l)

TABLE II (cent)
SLDGO(LC=155000B)
!3. THE RIGEL CODE HAS BEEN COMPILED AND RUN. OUTPUT IS ON TAPE 140
$1=’EWIND(COMPILE)
$PEWINO(F31N)
$I?EWIND(ETPLSYS)
$cOPY(I=FSET14,0=FSET8)
$. TApE 14 IS COPIED TO TAPE 8 FOR INPUT TO PNTEToE.
$IJPDATE (P=ETPLSYS*ASF=Q9L=O)
$WUN(I=COMPILEfC=S)
$LDGO(LC=155000FJ)
s. THE PNTETOE COnE HAS COMPILED AND RUN. OUTPUT IS ON TAPE 1.
!31?EW1ND(FSET1)
SRE41ND(cOMPILE)
$REWIND(RIN)
$REMIND(ETPLSYS)
fl(JPoATE (P=ETPLsYs9AsF=Q9L=o)
%PUN(I=COMPILESC=S)
$LDGo(Lc=155000B)
$. THE TOpFIL COfJE HAS COMPILED AND RUN. OUTPUT IS ON TAPE 14.
s. TOPFIL USED TAPE 12 AS INPUT.
SFEWIND(BIN)
!SREWIND(COMPILE)
$REwIND(ETpLSYS)
$IJPL)ATE(P=ETPLSYS*ASF=Q9L=O)
!5PUN(I=COMPILEsC=S)
$LDGO(LC=)55000B)
s. THE FTOPL CODE HAs COMPILEO AND f?UN. OUTPUT IS ON TAPE 12.
s. FTOPL lJSED TAPE 12. TAPE 14, AND TAPE 1 AS INPUT.
s. TAPE 1.? WAS USED IN AN EARLY ROUTINE AND WAS THUS AVAILAqLE FOR
s. FINAL OUTPUT.
$I?EWIND(FSET12)
$COPYSF(I=FSET12)
$. AS TNTERMEDIATF COCIES AN() ROUTINES RUN SUCCESSF[JLLY9 THE OIJTPIJT
s. FILE IS REWOUNI). FINAL RESULTS CAN ONLY BE OBSERVED BY
$. cOPYING TAPE 12 TO THE OUTPUT FILE.
$WEWIND(F5ET12)
$AFSREL (FS=FSET12,ADISP=TAPE,POSMT=XXO051 85)
SFM .
*COMPILE T~RNL
$FM.
*COMPILE !?IGEL
SFM.
2 1 12 0
1 12
2 14
SFM.
*rOMPILE
‘5FM.
PNTETOE
TAPE FOR U-235 AT 10oo DEG.
1 1 0 1
U?35T
LASMAT
57 0 0 0 0 100 +05 1000.0
o 0
*COWPILE
sFM.
11
001318
TOPFIL
3.0 0.05
*COVPILE
%FM .
FTOPL
57 5
*G TEMPERATURE = 1000 DEG K, CROSS SECTJONS IN UNRESOLVED ** 57 1451
4* REsONANCE REGION GIVEf’J FOR SIGMA-ZERO=109100~ 1000~ 1000o* ** 57 1451
** B4RNS/ATON PLUS INF. DIL. MF4 THIN TOLERANCE = 3.0 PCT. ** 57 1451
************************G***************************************** 57 1451
****************************************************************** 57 1451
11

12
4 14 33 26
462
10
10
10
10
10
10
10
10
10
10
10
10
10
10
9.?2350+04 ?.33025+02
9.22350+04 1.0
1.0 -05 105 +07
9. 8.3690 -01
TABLE II (cent)
1
0 1
0 0
0
MAT 57 PP08LEM
.01 .00001
57 11 11 3
1
1
1 0 1
57 1
8.23008 +01 2.5 ●O4
57 822 1 706 48 2 888
**********************************************************%*********************
********************************************************************************
** **
** SAM?LE PROBLEM FOR ETOPL REPORT. U-235 FROM EN13F/B. **
** VEPSION 111 WITH GAMMA-RAY PRODUCTION XSEC ADDED. **
** PRoBLEM ILLUSTRATES EXERCISING ALL LINKS AND OVERLAYS **
** OF CODE SYSTEM EXcEPT MF5 OPTION IN TOPFIL AND KLUST. **
** *6
***********a********************************************************************
*********~*********a**S*a*******Q**S*VG******G********+G***GSe****sSea******QQ*S
11
4
57 12 4
57 12 16
57 12 102
S7 13 3
cool
13401
35
0.0 0.01 0.03
0.30 0.40 0.45
1.00 1.25 1.33
4.0 4.50 5.00
10.00 12.00 14.00
50
1.0 -11 1.39 -lo 10.0
1.39 -10 1.52 -08 10.0
1.52 -on 4.14 -07 10.0
4.14 -07 1.13 -06 10.0
1.13 -06 3.o6 -06 10.0
3.06 -04 8.32 -06 10.0
8.32 ’06 2.26 -05 10.0
?.?6 ’05 3.727 -05 loo
3.727 ’05 b.14 ’05 10.0
6.14 -05 1.01 -04 10.0
0.045 0.06 0.10
0.50 0.60 0.70
1.66 2.00 2.50
5.50 6.00 7.00
20.00
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
O*O
0.0
O*15 0.22
0.80 0.90
3*OO
3.50
8.00 9.00
57 2151 7
57 2151 8
57 2151 9
57 2151 10
5720
57002
w

1001 ’04 1.67 -04 10.0
1.67 ’04 2.75 -04 10.O
2.75 -04 4.54 -04 10.0
4.54 -04 7.49 -04 10.0
7.49 ’04 1.234 -03 10.0
1.234 ’03 1.585 -03 10.0
1.585 -03 2.03 -03 10.0
2.03 ’03 2.61 -03 10.0
2.61 -03 3.35 -03 10.0
3.35 -03 4.31 -03 10.0
4.31 -03 5.53 -03 10.0
5.53 -03 7.10 -03 10.0
7.10 -03 9.12 -03 10.0
9.12 -03 1.171 -02 10.0
1.171 -0? 1.503 -02 10.0
1.’503 -02 10931 -02 10.0
].~31 -02 2.479 -02 loo
2.479 -02 3.183 -02 loo
3.183 -o? 4.087 -02 10.0
4.087 -02 5.248 -02 10.o
5.248 -02 6.738 -02 10.o.
6.738 -02 8.652 -02 loo
8.652 -02 1.11 -01 10.0
1.11 -01 1.83 -01 10.0
1.83 -O] 3.o2 -01 10.0
3.02 -ol 4.98 -01 10.0
4.98 -01 3.21 -01 10.0
8.21 -01 1.353 +00 10.0
1.353 +Oo 1.738 ●OO 10.0
1.738 +00 2.231 +00 10.0
2.231 +Oo 2.865 ●OO 10.0
?.865 +Oo 3.68 +00 10.0
3.68 ●OO 4.07 ●OO 1000
6.07 +00 7.79 +00 10.0
7.79 +0010.00 +00 10.0
19.00 +0012.00 +00 10.0
1?.00 +0013.50 ●on 10.0
13.50 +0015.00 ●OO 10.0
15.00 +0017.00 +00 10.0
17.00 +0020.00 ●OO 10.0
57.0 4.0
57.0 19.0
57.0 102.0
57.0 3.0
$EJ.
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
000
O*O
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
TABLE II (cent)
13
—

Two methods are available for handling Doppler
broadening in the ETOPL package, the standard (4,x)
method and the less widely applied kernel-broadening
method. The (4,x) option is provided by the PNTETOE
link, which ia an extention of the ETOE code3 to in-
clude the formulas for capture and fission. (The
ETOE code is a preprocessor for MCL, which requires
pointwise data only for elastic scattering.) Kernel-
broadening ia provided by the MINX code.2 Both codes
are identical for calculating cross sections for O“K,
APPENDIX A
TREATNENT OF THE RESOLVED RESONANCE REGION
infinite dilution using the formulas defined in Appen-
dixD of Ref. 1. PNTETOE is limited to a single-level
Breit-Wigner treatment; however, multilevel treatments
are handled by MINX. Doppler broadening in PNTETOE
is handled by following these familiar formulas.
()
UO(E) = U. 5~ y2y(c,x), for capture, (A-1)
where
E. 112
rf
uf(E) = uo~ ~ ~(g,x), for fission, (A-2)
()
r
rn 1/2
Cn(E) = Uo-@(~,X) + uoupg ~
()
X(53X) + ~
P’
r
A+l 2
= 41& + y ,
‘o
()
()
AI’*
112 r
~=4EoKI -x ‘
for elastic scattering (A-3)
(A-4)
(A-5)
2(E-EO)
X=r, (A-6)
and all widths are measured at the resonance energy
‘o“
Interference scattering is included in Eq. (A-3).
The usual Doppler-broadened line shape functions
($ and X) are related to the complex probability in-
tegral W through the following expressions.
14
(A-7)
(A-8)
In the MINX code, the resolved resonance region
is first processed for O“K, infinite dilution. This
treatment is based largely upon Ozer’s RESEND pro-
gram.8 Doppler broadening is then achieved with a
routine developed in cooperation with Cullen.g In
the algorithm of this code, the Doppler-broadened
10
cross section is expressed as follows.
m
3(E’T) ‘% ~ oK@’E’’T)”@’) ‘E’ ‘E’ ‘
(A-9)
where
-a(ti’-@2 --2(~E’+@2
K(E,E’,T) = -& e -e )(A-1O)
P
and
ci=l.1605 X104 ~ ,
AWR =
mass of target (M) ,
mass of neutron (m)
T = temperature “K ,
3(E,T) = effective cross section for neutrons of
incident energy E in media at temperature
T ,
u(E’) = unbroadened cross section for neutrons of
relative energy E’ ce.g., cross section
at OeK) ,
K(E,E’,T) = kernel relating Maxwellian target motion
to incoming neutron energy.
If one introduces the ETOPL requirement that
the cross section be a sectionally linear function
of energy, then the Doppler-broadened cross section
involves combinations of terms with integrala of
form
m
1 2
x
Fn(X) = Zn e-z dz .
(A-n)
The only functions (Fn) required are those for n = O,
1, 2, 3, and 4. Furthermore, they Possess desirable
recursive properties,
Fn(X) = ~
(n-l) Fn-2(x) +~n-le-x2 , (A-12)
( )
The above formulas apply directly to a monatomic
gas. However, for a polycrystalline material an ef-
fective temperature Teff of the system can be related
to the physical temperature T in terms of e, the De-
bye temperature.
w

for
T.,, =(3(:)3T~e”x’ Coth(:) dx , (A-13)
T/f’l;Teff + T
For the broadening calculation, T can be employeff
ed in place of the Maxwellian temperature T in Eqs.
(A-9) and (A-1O), although such corrections are not
11
always applicable.
13
Harria’2 and Fr6hner have shown that one can
start from a broadened cross section at finite tem-
perature T’ and perform the kernel broadening to
temperature T using the difference T-T’ as the tem-
perature parameter characterizing the Msxwellian
distribution. Such a “boot-strapping” procedure is
used for obtaining cross sections at a number of
different temperatures.
A comparison of nmerical results obtained from
the two methods was made for the ENDF/B, Version III
235
evaluation of U (MAT 1157) for three temperatures
(300”K, 1300”K, and 100,OOO”K). The results of the
comparisons is further illustrated in Fig. A-1; the
kernel calculation is consistently higher”than the
+,x curve for elaatic scattering but not for fis-
sion and capture.
In general, the MINX output is preferable to
that from PNTETOE not only because MINX is able to
process all ENDF formata and is maintained in a
more up-to-date atatua, but also because of ita
TABLE A-1
ability to handle large amounta of data through the
“paging” technique. 8 PNTETOE, however, is limited
to about 4000 energy cross-section pairs per reac-
tion. Its importance is illustrated by the processing
of the ENDF/B, Version III evaluation for 238U
(MAT 1158) with both codes. l!hiaevaluation con-
tains 450 resolved resonances. A MINX problem was
run that gave 9700 points for the capture reaction
or an average of about 20 pointa per resonance. TWO
PNTETOE problems were run, one with 19CMIpoints, or
about 4 or 5 points per resonance, and the other at
3300 points, or about 7 or 8 points per resonance.
The latter problem is near the present storage lim-
itations of the code. The pointwiae data from these
problems were further processed by the MINX code to
obtain multigroup cross sections for two different
weighting functions. The results for groups 24, 25,
and 26 are shown in Tables A-II and A-III, and com-
parison plots for group 24 are given in Figs. A-2
through A-4. The large differences in the tables
and plots clearly demonstrate the need for repre-
senting a resonance with a sufficient number of
points.
An additional advantage of the MINX code is the
ability to specify an error tolerance, that is, to
require that the line segment between any two points
output by the code be nowhere different than some
user specified tolerance from any point that would
be calculated between these two points. The 9700-
point capture cross section cited in the example
above was the result of specifying a 3% tolerance
for the calculation.
COMPARISON OF ($,X) DOPPLER BROADENING WITH KERNEL BROADENING
FOR THE RESOLVED RESONANCE REGION OF ’35u (MAT 1157)
Elaatic Scattering Fission Capture
Cross Section Cross Section Cross Section
uxL- Weighted Av % Dif Max Z Dif Weighted Av % Dif MSX % Dif Weighted Av Z Dif
300 5.7 23.7 3.4
1,300 6.6 24.4 3.7
100,000 6.6 15.2 5.8
TABLE A-II
238U MAT 1158, 300”K, INF DIL, l/E WEIGHTED
Max % Dif
62.6 2.8 17.3
82.8 3.2 19.9
46.8 3.9 24.6
9700 Pt (b) 3300 Pt (b) 1900 Pt(b)
w E Lower (eV) E Upper (eV) Capture Elas Scat Capture Elas Scat Capture Elas Scat
24 22.6(? 61.40 43.579 60.227
25 8.32 22.60 62.816 26.859
26 3.06 8.32 130.270 15.024
56.860 77.613 90.211 111.280
78.349 35.035 110.190 46.239
167.100 18.765 232.260 22.447
15

=
TABLE A-III
238 U MAT 1158, 300”K, INF DIL, CONSTANT WEIGHT
9700 Pt (b) 3300 Pt (b> 1900 Pt (b)
I?kx? E Lower (eV) E Upper (EV) Capture Elas Scat Capture Elas Scat Capture Elas Scat
24 22.6 61.4 41.156 57.638 53.339 73.969 82.582 104.44
25 8.32 22.6 91.564 36.141 114.32 46.728 161.05 63.134
26
3.06
8.32 166.218 17.173 211.52 21.994 294.24 26.786
!6
M
12
z
c 10
.:
:s
a
In
:6
;
4
2
0 0 1020304050607080 60
(a)
140
120
100
80
60
40
20
(b)
Fig. A-1. 235 U at 1000OO”K. (a) elastic scatter. (b)
104~ I I I I I I I I 1
1032-
c 0 102 r
.-
Z
(%
: 10’ F
o
G
16
10° :
I [ I I I I 1 I
10[20 25 30 35 40 45 50 55 60 65 70
Energy (eV)
Fig. A-2. MINX VS PNTF,TOE- elastic cross section.
1
eo
64
70
60
SJ
40
30
20
10
(c)
fission. (c) capture.
-2 I I I I I I I I I -1
’020 25 30 35 40 45 50 55 60 65 70
Energy (eV)
Fig. A-3. MINX VS PNTETOE - capture cross section.
.
.
.
.

c
o
.-
L
103~
102~
10‘:
10°s
111111
.--1 I I I I I I I I J
1“20 25 30 35 40 45 50 55 60 65 70
Energy (eV)
Fig. A-4. MINX vs PNTETOE - elastic cross section.
APPENDIX B
TREATMENT OF THE UNRESOLVED RESONANCE REGION
The ENDF formats provide three options for spec-
ifying sverage parameters for the unresolved reso-
nance region, namely, (1) parameters independent of
energy, (2) parameters with only fission widths en-
ergy dependent, and (3) parameters all energy depen-
dent. All options are handled by both the PNTETOE
and MINX codes. Furthermore, the treatment of the
unresolved resonance region in both codes is similar
except that the treatment in MINX, based on that used
in the ETOX5 code does include sequence-sequence
overlay.
Both codes use the standard J-function technique
as described in Ref. 4 for obtaining temperature and
self-shielding corrections. The J-function routines
in ETOX(MINX) are identical to those used in MC2;
those used in PNTETOE are taken from the IDIOT code. 14
A comparison of the two treatments for the ENDF/B,
Version III, evaluation for 235U (MAT 1157) at 1500”K
and for u o = 15 b/a is shown In Table B-I. Only
small differences between the two J-function treat-
ments are evident for this case. Figure B-1 illus-
trates temperature and self-shielding effects in the
unresolved resonance region for MAT 1157.
These treatments of the unresolved resonance
region, which are currently the only methods avail-
able in the MINX and PNTETOE codes, yield cross sec-
-2 I I I I I I I I I 1
‘020 25 30 35 43 45 50 55 60 65 70
Energy (eV)
Fig. A-5. MINX VS PNTETOE - capture cross section.
tions in the unresolved resonance regions that are
not only temperature dependent but also dependent
upon the self-shielding parameter u . Thus, cross
0
sections in the PENDF library must be given as a
function of 00 in the unresolved resonance region as
well as an over-all function of temperature. This
required the devising of a new ENDF format because
the approved ENBF formats given in Ref. 1 are not
suitable for expressing this uo dependence. The new
format, illustrated in Appendix F, is limited to
MT =1, MT=2, MT=18, and MT=102. Cross sec-
tions for the infinite dilution case are first tabu-
lated on the full energy mesh. This is followed by
a “TAB2” record giving the number of tables, that is,
the number of values of U. for which cross sections
are available in the unresolved resonance region and
in the interpolation between subsequent tables. The
cross sections for the various uo values are then
tabulated on the energy mesh of the.unresolved reso-
nance region. The value of U. is placed in the nor-
mal Q-value position in each table; the Q-value for
the reaction is given only in the complete table for
infinite dilution, o 0 = - being understood.
We emphasize that this format is not a “legal”
ENDF format and that it is for loca~ application only.
Although several “principles” of the ENDF format are
17
I

violated, such as the TAB2 record in Ml?= 1 and the concentrated in a single area of the file, allowing
use of the same MT number for more than one record for rapid interpolation to a particular 00 value
in the same file, the new format has the distinct appropriate for a specific problem.
advantage of having the UO-dependent cross sections
18
E-Resonance
(keV)
0.082
0.116
0.148
0.191
0.245
0.300
0.350
0.400
0.450
0.500
0.560
0.620
0.750
0.800
0.830
0.900
1.000
1.100
1.500
1.800
2.000
2.500
3.000
TABLE B-I
235 U (MAT 1157) 1300°, 15B/A, COMPARISON
OF PNTETOE AND MC2 IN UNRESOLVED RESONANCE REGION
Capture Cross Section Fission Cross Section
MC~ PNTETOE Diff MCL PNTETOE Diff
-@l J2i?_- ~ 42 J!?,L- &
9.48 9.36 1.3 23.12 22.85 1.2
10.06 9.95 1.1 21.03 20.72 1.5
11.51 11.39 1.0 21.66 21.31 1.6
9.98 9.89 0.9 21.21 20.88 1.6
11.00 10.88 1.1 29.83 29.35 1.6
6.57 6.52 0.8 16.82 16.58 1.4
5.94 5.89 0.8 15.11 14.90 1.4
5.41 5.37 0.7 13.94 13.75 1.4
5.89 5.84 0.8 16.52 16.29 1.4
6.30 6.24 1.0 19.45 19.17 1.4
6.88 6.82 0.9 20.02 19.72 1.5
5.40 5.36 0.7 14.21 14.01 1.4
6.29 6.25 0.6 13.87 13.68 1.4
6.33 6.29 0.6 13.08 12.91 1.3
5.02 5.00 0.4 10.10 9.98 1.2
4.59 4.57 0.4 9.00 8.90 1.1
4.64 4.62 0.4 9.12 9.03 1.0
5.34 5.32 0.4 10.53 10.42 1.0
3.81 3.79 0.5 9.32 9.24 0.9
3.26 3.26 0.0 8.22 8.15 0.9
2.83 2.82 0.4 7.40 7.35 0.7
2.34 2.34 0.0 6.51 6.47 0.6
2.15 2.14 0.5 5.97 5.95 0.3
Differences for resonances from 3-25 keV less than 0.5%
25.000 0.97 0.97 0.0 2.61 2.61
h
I I
Unresolved Resonance Region
235U
Fission
—T=lOOO°K, ~O =105b/a
.—.T=300° K, CTO=10 bta
+..-+T=300” K, IYO=I0 bja
102 104
Enefi3y (W)
235U ~i~siOn
Fig. B-1. Unresolved resonance region
0.0
I

.
In the PENDF format the angular distributions
of the secondary neutrons are expressed as tabulated
functions of probability P vs the cosine of the scat-
APPENOIX C
TREATMENT OF SECONDARY ANGULAR DISTRIBUTIONS
tering angle P. Moreover, the same number of p-valuea
(usually 33) are used in each table (that is, for each
-4 incident neutron energy), and these p’s are chosen to
m
.
delimit intervals of equal probability.
Angular distribution data in the original ENDF/B
evaluation are often expressed in the compact form of
Legendre coefficients, so that a rather fine incident
energy mesh can be used without greatly increasing
the total volume of data in the evaluation. This is
no longer the case, however, when the Legendre data
are tabulated with each table having 33 p-point paLra.
It la therefore convenience for the PENDF library to
thin the secondary angular distribution data to some
user-specified tolerance.
The above PENDF requirements are achieved by ap-
plying the TOPFIL code to the original ENDF/B file 4
data. This code, which will process the MF = 4 data
for all materials on an ENDF/B tape in one pass, con-
sists of two routines, LEGTHIN and PNTLIB4. The LEG-
THIN routine thins all Legendre angular distributions
on the tape to a user-specified tolerance; PNTLIB4
transforms the thinned distributions to the required
PENDF format described above.
In the thinning procedure for LEGTHIN, a toler-
ance parameter that is input by the user specifies
the maximum allowable root-mean-square (rms) differ-
ence permitted between distributions calculated from
coefficients on the original grid and from interpo-
lated coefficients.
Columns
Card 1
1-4
5-8
Card 2
1-4
5-8
9-12
13-16
17-20
21-24
Card 3
1-11
12-22
The rme difference between any
Format
14
14
14
14
14
14
14
14
Ell.4
E1l.4
E?2!M
MF4
MF5
ILIST
IPRINT
KI
KO
IWT
IDTP7
ERROR
DCOS
TABLE C-1
INPUT SPECIFICATIONS FOR TOPFIL
Description
MF4 = 1, prepare MF =
MF5 = 1, prepare MF =
two distributions ia computed by tabulating the dis-
tributions on a dense (up to 200 points) p grid and
comparing the two at each value of p. The thinning
routine advances through the entire coefficient file
requiring that the distributions between any two en-
ergies preserved in the output file can be calculated
with interpolated coefficients to the specified rms
accuracy. Pn addition, a negativity check ia in-
cluded that flags energies at which distributions
produce negative probabilities for some angles.
The subroutine PNTLIB4 converts all angular dis-
tributions to a histogram representation w~th the p
mesh chosen to delimit intervals of equal probabili-
ty. If the distribution ia isotropic, two data
points are specified, namely, (-1.0, 0,5) and (1.0,
0.5). For the Legendre representation a value of p
(= u*) is found such that the integral of the angu-
lar distribution below and above U* is approximately
half the total area. Each of the two ranges of polar
cosines thus defined are subdivided into 500 equal
intervals. The area for each of the 1000 intervals
is computed analytically and a cumulative probabili-
ty table is constructed. Using this table, a search
is then made to locate equally probable p values as-
suming linear interpolation. For the tabulated dis-
tributions the P(p) vs u data are given (with linear-
linear or log-linear interpolation) as discrete val-
ues of p. Equally probable u values can then be de-
termined analytically in a straightforward fashion.
The input specifications for TOPFIL are given
in Table C-I. Note that both MT = 4 and MF = 5 are
handled in this routine.
4 data; MF4 = O, no Ml = 4 data.
5 data; KF5 = O, no MF = 5 data.
ILIST = O, no list.
IPRINT = O, no print.
Obsolete; set by program.
Obsolete; set by program.
IWT = 1, standard fractional weighting; IWT = 2, probability weighting
Obsolete; aet = O.
Maximum allowable RMS percentage error for thinning.
Increment in cosine used in computing R34Serror.
19
I

The second overlay of the ETOPL code proper con-
taina the linearization routine, ISLIN1; the unioni-
zation routine, UNION1; and one of the two thinning
routines available, namely THIN1. The other thinning
6
routine, KLUST, is obtained by calling an additional
overlay.
APPENDIX D
COMPARISON OF THINNING TECHNIQUES AVAILADLE IN ETOPL
The thinning procedure used in THIN1 is a “three-
point” type, that is, a point between two points is
examined to determine whether or not it lies within
or without the input-specified tolerance and is ac-
cordingly retained or rejected. This three-point
thinning can be applied iteratively, but in the pres-
ent version of ETOPL it is used just once. In this
application the technique cannot “look ahead” or al-
low a cross section to float within the tolerance.
The procedure in XLUST, however, is based on the
concept of the “longest tunnel” or the longest line
one can draw either through the original data or
within the specified tolerance of the original data.
Thus, in XLUST the actual valuea of the cross sections
can be modified. Figure D-1 shows a somewhat exag-
gerated comparison between thinning done with THIN1
and that done with XLUST. The comparison is for the
elastic scattering cross section Al (ENDF/B-111,MAT
1135) plotted between 0.41 and 0.48 MeV. The origi-
nal evaluation has 70 data points in this interval;
a 10% THIN1 thinning reduces this number to 13, and
the 10% XLUST thin gives 9 points. In the figure
20
COPYSF I FILEs FROM
LASL TEMP ENDF TAPE WITH
9.2235 +04 .2.330.?s402
o. 0.
APPENDIX E
‘“’r—————_
,o~
4“10000 430000 450000 470000
Energy (eV)
Fig.D-1. KLUST-LUST comparison. The crosses and
squares are pointa remaining after thinning
with KLUST and LUST, respectively.
note particularly the KLUST “longest tunnel” between
0.44 and 0.476 MeV. There are four THIN1 points be-
tween the two KLUST points, and the cross sections
for the XLUST points do not coincide with the origi-
nal data at these energies. Howwer, both routines
give the same cross-section values at the two rela-
tively highest peaks.
LASL Identification No.: LP-0459
TEMP M~TS 570 589 5y~ 699 AND 105. lJUL 11-0 -t)
1 1 56 57 1451
1 1 11: 57 1451
*-** * * * ; ** * * * * ** * o * 4$ ** * * * * * * * * * e ~ o
* *
*
Q
PHOTON
STEWAPT
PRODUCTION DATA AnL)ED BY
AND HUNTER FROM LA-4918.
LASL* nAY 1972. DATA BY o
*
* OATA 13ELOW 1.09 MEV GIVEN As MULTIPLICITIES IN MF = 12 FOR *
*
*
MT
IN
= 4,
MF =
Ml’
13,
= lEo
MT =
AND MT = 10?o
3 WH1cH INcLuoES
AROVE
ALL
1,09 MEVO
REA~lIONSO
DATA GIVEN o
NOTE PHOTON*
* PRODUCTION DATA GOES UP TO 26 MEVJ WtlEREAs NEUTRON FILES ARE ~
* ONLY UP T(l 15 MEV.
* +$
* ●
* * * * * *** * * * ● * * * * ● ● * * ● * ● ******* ***
* * *’ * *
U.235 AI,ANC.WAPS EVAL-AUG7: ALTER,DUNFO?O [AI) 9LEONARD ~BNw)
ENDF-161$ENDF-153
* *
OIST-JAN7Z PITTERLE*PAiK(wARD) *LUBITZ (KAPL)
*
U-235 CSEWG EVAL-SEP;69.LEONARD~ALTERoLUB;TL. l?E-EVA:UATlONS-
LEONARD,ALTER*DUNFOROtLUBITZsPENNINGTONsPITT~NLts AND PAIK,
57 1451
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-~
5
4
5 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
.
.
●
✎✎

DATA ADJuSTMENTS 8AS~D ON WORK ~Y T.A.PIT%~LE AND N~C,PAIK
(PROC.CONF.NEUTRON cROSS SECTIONS AND TgcH.o KNO.VILLES 3/710)
DATA MOO.FOR ENERGIEs GREATER THAN 64.5 Ev
USE A VALUE OF 1.32 MEV FOR FISSION SPECTRUM Foii FAST REAcTORS
* * * # ● *
URANIUM-235
VARIOUS INDIVIDUALS CONTRIBUTED TO lE EVALUATION OF
THE CROSS SECTIONS FOR THIS MATERI!!4
B.R..LEONARO (BNW)- cRoSS sEcTIoN$ HELOW ~Oo EV
H.ALTER AND C.L.DUNFORD- cROsS SEIIONS ABoVE 15 KEv
J.ROSMITH- REsoLVED RESONANCE DATA BELOW 82 EV.
T.A.PITTERLE- uNRESOLVED RESONANCE YA’!’A BELoW 25 KEV~—
~AT=li57 1: A PARTIAL ;EVALUATIO~ OF DATA ;N MAT 1102*AND lo44g
THE TOTAL AND ALL PARTIAL CROSS SECTIONS FoR NEUTRON ENERGIES
BELOW l.o ~V WERE PROVEOIED BY BOROLEONARD!Jfl. (UNPUBLISHED MEMO
TO CSEkG(AUG.1969)0
THE PARTIAL .-SEC WERE oBTA~NED BY STARTING WITH DATA GIVEN IN
MAT=1044 AND MODIFYING THE SHAPE AND MA(jNITul+E OF THEsE DATA TO
CONFORM TO THE 2200 M/SEC PARAMETERS (INCLUD~,yG G FACTORS) THAT
WERE OBTAINED DURING THE ]969 IAEA EVALUATION GRouP (sEE- HANNfl
ET ALo ATOMIC ENERGY REVIEW* VOL vII? N004t 196?).
* * * * * *
THE 2~00 M/SEC PARAMETERs ARE
TOTAL = 694,276
ELAsTIC= 15.776
FISSIONS 580.200
N~GAMMA= 98.3oO
NU = 2.423 TOTAL (pELAY~O PLuS PROMPT)
ALPHA . 0.16942
ETA s 2.07196
* ● 4$
BELOW 1.0 ;V oATA GIV:N IN FILE $ (sMOOTH .-SEC),.
BETWEEN 1.0 AND 82.0 EV DATA GIVEN AS SLBW RESULVED RESONANCE
PARAMETERS PLUS A SMOOTH FjAcKGR(JUND GIVEN IN FILE 3.
BETWEEN 66.5 EV AND 2500 KEV ALL DATA GIVEN j,~ fILE 2 (LRF*2t
ENERGY DEPENDENT REDUCED NEUTRON WIDTHS ANO FISSION WIUTHS).
ABOVE 25.o KEV ALL OATA GIvEN IN FILE 30
e *
BELoW 0.4 EV FIssIoN ~-SEC BASED*• N DATA 0F*q~R3LEONAR;(FROM
SCISRS TAPE) AND THAT OF C.O.BOWMAN ET AL(UC~L-1460). NQGAMMA
BASEO ON ALPHA*FISSION$WHERF ALPHA TAKEN FROM GRAPH IN BNL-325
PAGE 92-235-33 (FOR ENERGIES BETWEEN 0~07 TO ~.4 EV).
* * * *
ABOVE 25 KEV PARTIAL CROSS SECTIONS EVALUAT;q (AI-AEC-M~MO-lZ916t
JAN,1970) MOIJIFIEO BY PITTERLE AND HUBN~R.
* * * *
RESOLVED RESONANCE Parameters PLu: FILE 3 C;N~RIBUTION DESCRIBE
THE CROSS SECTIONS BETWEEN I AND 82 Evc parameters ARE FROM A
SIMULTANEOUS FIT TO ToTALt FISSIONS AND CAPTU!E CROSS SECTIONS.
DATA FIT ARE THOSE OF DESAUSSURE (l)s MICHAUDON (2)s BLONS (3)s
ANO CAO (4); PARAMETERS DERIVED By J.R. sMITH$ AEROJET (IDAHO)
NUCLEAR co, AUG 1971.
REFERENCES
1. G.DESAUSsURE ET ALo ORNL-TM-1806 (1967)
2. A.MICHAUDON, CEA_R 2552-(1964~-” -
30 JoBLONS ET ALQ PROc. 20 INT CONF NUCL DATA FOR $?EACTORSO
VOL I P,~b9 (1970)
4, M.G.CAO ET ALo J.NUCL ENERGY VOL 22 p0211 (1968)
A POTENTIAL SCATTERING CROSS SECTION OF 11.S BC wAS USED IN THE
ANALYsIS
FILE 39 MT=2t CONTAINS THE DIFFERENCE BETWEEN THE SCATTERING AS
CALCULATED wITH THE PARAMETERS OF FILE 20 USING THE SINGLE-LEVEL
FORMULAo AND A MULTILEVEL CALCULAT1ONo IN THC ML CALCULATToNQ
SIMULATEn RESONANCES WERE IJSEL) ABOVE AND 13ELO~ TtIE RESONANCE
REGION To cOMPENSATE FOR THE INTERFERENCE EFF:CTS OF DISTANT
Resonances.
*
57 1451
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21
22
23
24
25
26
27
28
29
30
:;
33
34
35
36
37
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
::
65
%
68
69
70
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
21
I

22
* 4$
;NRESOLVED RESONANCE ;ARAMETERS :ERE OBTAI:E: By T*pITTERLE(wARD)
DOCUMENT AND REFERENcES TO BE PUBLISHED. ENEUGY DEpENDENT AVERAGE
RESONANCE PARAMETERS WERE OBTAINED AND ~RE INcLUDED IN FILE 2 AS
LRU=
*
2U LRF
*
= 20
*
ENERGY DEPENDENCE OF ;U TAKFN FR~M KFK-120*PflfiT-l
SIMPLE FISSION SPECTRUM USED
T(E) FROM FORMULA BY TEPRELL
T= 1.3o MEv
3/2*T(E)=0.75
AT THERMAL
●0s65(Nu (E~*l.o)**.5
* * * * *
FISSION PRODIJCT YIELD DATA FROM REcOMMENDED vALUEs OF M.E.MEEK
AND BoF.RIDERQ APED-5398-Ac REVIsED (OC~O196~)
YIELDS
*
NORMALIZED
*
FOR A sUM = 2.0000
ANGULAR DISTI?IBUTIONS*FOR ELASTI~ SCATTERI~G FROM EVA:. i3Y. (AI)
MTX251P2529253 CALC. FROM ANG. DISTR ~~TA
ANGo DIsTR. OF NEUTRONS FROM INELASTIC sCAT ?$SuMMEO TO BE
ISOTROPIC
a
IN COM. SYSTEM
*
INFINITE D;LuTION
FIssION=
NvGAMMA.
RES;NANCE INTE;RALs (ABO~E 0.5 Ev)
*
ELAsTIC=
INELASTIC :EvEL CROSS*SECTIflN FR;M EVAL: B; ~ARKER (A:RE 0-82/63)
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91
92
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94
95
96
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301
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103
104
105
106
107
108
109
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112
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7.() +06 0.0045 -06 7.5 +06 0.0 571510? 3501
5715 0 3502
57 0 0 3503
0 0 0 350h
COPYSI= 1 FILES FROM FSFT21
APPENDIX F
LASL TEMP ENDF TAPE WITH TEVP MATS 579 58* 5~0 699 ANII 105. lJUL
9,22350E+042.33025E+02 6 1 48
()* 09 1 1 13: -0
*******@**************o***********************o*****e***o****o**6*
*#******************************a@********************a***********
** **
** SAMPLE pROBLEM FoR FToPL REPoRT. U-Z3> FRoM ENDF/R, **
** VERSION III WITH GAMMA-PAY PRODUCTION ASkC ADDED. **
** PRo13LEM ILLUSTRATES EXERCISING ALL LINnS ANI) OVERLAYS **
** OF CODE SYSTEM EXCEPT MF5 OPTION IN TOpFIL ANO KLUs7. **
** **
****o**********##************************************************~
********************e*********************************************
** TEMPERATURE = l~oo DFG K, CROSS SECTIONs IN UNRESOLVED **
** RESoNANCE REGTON GIV~NI FOR SIGMA-ZERO=Aa 010081000 ,IOOI?O, **
** BARNS/ATON PLUS INF. oIL. MFG THIN TOLERANCE = 3.0 PCT, O*
*******ae**e***********e*************************************e****
***************e********e**e***e****e**********w******a******~***a
4? * * * * ** * ● ** * * * 4$ 0 * * ** * * * * * * * * * o * * *
* *
* PHOTON PRODUCTION DATA ADDED BY LASL* MAY 1972. DATA RY *
* STEWART AND HUNTER FROM LA-4918. *
* DATA RELOW 1.09 MEV GIVEN AS MULTIPLICITIES IN MF . 12 FOR *
* MT = 49 MT = 180 AND MT = 102. ABOVE 1.09 MLV, DATA GIVEN *
*
e
IN MF = 13.
PRODUCTION
MT = 3 WHICH
DATA GOES IIP
INCLUDES ALL REA~~ItiNS.
TO 26 MEVO WHEREAS NEUTRON
NOTE PHOTON*
FILES ARE *
* ONLY UP 10 15 MEV. *
* *
e *
@******& ******** *&****** *****@** *
* o
o
u-235
AI?ANC~WAR~ EVAL-AUG7! ALTER,DuN;oND (AI) oLE~NARD (BNwI
ENDF-161,ENDF-153 OIST-JAN72 PITTERLE*PAj,K (.WARD) sLUBITZ(KAPL)
a
;-235 CSEw~ EvAL-SEP;69,LEONARD;ALTERoLU13;TL. RE-EVAcUATIONS-
LEONARDQALTER?DUNFORDQLURIT7SPENNINGTON*PITTERLE* AND pAIK.
o * * * * *
DATA ADJUSTMENTS 13ASE0 ON WORK BY T.AcPITTE~LE AND N.C.PAIK
(PROC.CONF.NFUTRON CROSS SEcTIoNS AND TECH.~ KNO.VILLE* 3/71.)
DATA MOD.FOR ENERGIES GREATER THAN 64.5 EV
USE A VALUE OF 1.32 MEV FOR FISSIoN SPECTRUM FoR FAST REACTORS
● ● * * o *
URANIUM-?35
VARIOuS INDIvIDllALS CONTRIBUTED TO TE Evaluation OF
THE CROSS SECTIONS FOR THIS MATERIAL
B.R..LEONARO (PNW)- CROSS SECTIONS BELOW 1.0 EV
H.ALTER AND C.L.DUNFORD- CROSS SETIONS ABOVE 15 KEV
J.P.SMITH- RESOLVED RESONANCE DATA BELOW 82 EV.
T.A.PITTERLE- UNRESOLVED RESONANCE DATA BELOW 25 KEV.
o * ● o * *
MATx1157 IS A PARTIAL REVALUATION OF OATA IN MAT 1102 ANo 1044.
THE TOTAL AND ALL PARTIAL CROSS SECTIONS FOR NEUTRON ENERGIEs
BELOW 1.o EV WERE PROVEDIED BY fl.R.LEONARD,JN, {UNPUBLISHED MEMO
To CSEWG(AUGe1969)C
THE PARTIAL .-SEC WERE oBTAINEI) BY STARTING WITH DATA GIVEN IN
MAT=I044 AND MODIFYING THE sHAPE AND MAGNITuDE OF THEsE DATA TO
CONFORM TO THE 2200 M/sEc parameters (INCLUDING G FACTORS) THAT
8
57 1451
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1
z
3
4
5
6
7
8
1;
11
12
13
14
15
16
17
18
;2
21
22
23
24
2S
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
:;
49
50
51
52
53
54
55
56
57
.
*

WERE OHTAINEII DURING THE 19A9 IAEA EVALUATION GNOUP (sEE- HANNA
ET ALQ ATOMIc ENERGY REVIFW. VOL vII. N004. 1969}.
e & * * a o
THE E’200 M/SFC PARAMETERs ARE
TOTAL = 69&e77~
ELA%TIC. 15.776
F1ssloN= 580,200
N9GAMMAx 98.30tl
NU = 2,423 ToTAL (OELAY~D PLUs pROMPT)
ALPHA . 0.16942
ETA = 2Cn7196
lELOW 1.0 L DATA GIV;N IN FILE : (SMOOTH
*
,->~cl.
*
BETWEEN I.O AND 8Z.O EV DATA GIVEN AS SLBW ~EsoLvED REsoNANcE
PARAMETERS PL(IS A SMOOTH RACKGROUND GIVEN IN FILE 3.
BETWEEN 64.5 EV ANo ~500 KEV ALL OATA GIVEN {ON FILE 2 (LRF=2c
~g:;;Y oFPENDENT REDUCED NEI!TRON wIDTHS AND FISSION WIUTHS)O
25.o KEV ALL oATA GIVEN IN FILE 30
;ELOW 0.~ ;v FISSION &c RASED*ON DATA oF’’U.R.LEONAR; (FROM
SCISRS TAPE) ANO THAT OF CoiT.BOWMAN ET AL(ucqL-14601. NoGAMMA
BASED ON ALPHA*FISSION,WHFRF ALPHA TAKEN FROM ERAPH IN BNL-325
PAGE a2-235-33 (FOR ENERGIES RETWEEN 0.07 TO o.4 EV).
* +$ *
ABOVF 25 KEV PARTIAL 2ROSS SECTI~NS EVALUATgq (AI-AEC-M~MO-12916*
JhN,197fl) MODIFIED HY PITTERLE AND HUBNEI?.
R;SOLVED RE;oNANCE PARAMETERS PLUj FILE 3 C;NARIIWTION’’OESCRII3E
THE CROSS SECTIONS RETwEEN ] AND 82 Evs Parameters ARE FROM A
SIMULTANEOUS FIT TO TOTAL, FISSION, AND CAPTU~E @oSS SECTIONS.
I)ATA FIT ARE THOSE OF DESAI.ISSURE (l). MICHAUDON 12)s BLONS (3)s
AND CA() (4). PARAMETERS DERIvEO gy JOR. SMITHO A~RoJET (IDAHO)
NUCLEAR cO. A(1G ]9710
REFERENCES
1. G.PESAUSSURE ET AL. ORNL-TM-1804 (1967)
2, AOM[CHAUl)ONo cEA-P ?55? (1964)
3. J.RLONS ET AL, PROC. 2D INT CONF NUCL DATA FOR REACTORS*
VOL I P.46Q (1970)
40 M.G.CAO ET ALO J.NIICL FNEPGy VOL 22 p.211 (1968)
A POTENTIAL SCATTERING cRnss sEcTIoN OF 11,5 B. WAs usEo IN THE
ANALYsIs
FILE ~, MT=2s cONTAINS THE DIFFERENCE f3ETWFEN THE scattering AS
CALCULATED WITH THE PA!?AMFTERS OF FILE 2, lJSI~G THE SINGLE-LEvEL
FoRMU1.A, ANO A MULTILEVEL CALCULAT1oW. lN THE MC CALCULATION9
SIMULATEO RESONANCES WERE llSED ABOVE AND BELOW THE RESONANCE
REGION To COMPENSATE FOR THE INTERFERENCE EFFECTS nF DISTANT
REsONANCES.
~NRESf)LVED*RESONANCE ~ARAMETERS ;ERE OBTAI;Ey BY T.PI;TERLE(~ARO)
DOCUMENT ANO REFERENcES TO F!E PuBLISHED. ENERGY DEPENDENT AVERAG~
RESONANCE PAPAMETERS tiERF OBTAINEL) AND ;RE IN~LUOEi) IN FILE 2 AS-
LRU= 2? LRF = 2,
e * @ o
*
ENERGY DEPENDENCE OF NU TAK5N FROM KFK-120*PART-l
SIMPLE FISSION SPECTRUM USEII T. 1.30 MEV AT THERMAL
T(E) FRoM FORMULA BY TEPRELL 3/2@T(E)=Oo75 ●0.65 (NU(E)+I.0)**.5
@ *
FISSIoN PRODIJCT YIELD*DATA FROM
e *
RECoMMENDED vALuES 0; M.E.MEEK
AND B.F.RIDER, APED-5398-A. REVISED (OCT.IQ6B)
YIELDS NORMALIZE FOR A sUM = ?ooooo
* * * * * *
ANGULAR.DISTRIBUTIONS FOR ELASTIC SCATTERING FROM EVAL. BY (AI)
MT=251.252,253 CALCO FROM PNG. DISTR DATA
ANG. OISTR. nF NEUTRONS FPOM INELAsTIC SCAT flSsUMMED To BE
ISOTROPTC IN c.M. SYSTEM
*
* 4$ * *
INFINITE
OILIITION RESONANCE INTE;RALS (ABoVE 0.5 Ev)
FIssION=
NvoAMMA=
ELAsTIC=
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PREPAR?Ei) FOR ENOF/R MA~ERiAl_ “ Si -Fiofi A M~uE -3 TAPE. 57 14;1 135
*
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2.96236. 1 9.74241+ o 2.96440+ 1 9.79365+ o ~.96644+ I 9.843496 0 57 3 2 1828
2.96670+ 1 9.84927+ o 2.96872* I 9.87171+ o

3.97] 18+ I \.Ii3558+ 1 3.98154. 1 1.36953. 1 J.98290* I 1.3536?* 1 57 3 p 1895
3.98498+ 1 1.33244+ 1 3eQQ7f13+ 1 1.31059+ 1 3.99@oo* ~ 1.2Q430* 1 57 3 ~ 1896
3.99?37* I 1.28066+ \ 3.Qq5n?+ I 1.26805* I 3.99660+ 1 1.?6195+ 1 57 3 2 1R97
3.99846. I 1.?4919+ I 4.ip88?* I 1.18971+ I :001652* 1 1.14966’ 1 57 3 z 1898
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4.03464+ 1 101176d+ 1 4.64508+ 1 1.12447+ 1 2.04854+ 1 1.1?9894 1 57 3 2 1900
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4.05599+ 1 1012746+ I 4mIi%8A6+ I 1C1Z289* I ~OOb212* 1 1.11627* 1 57 3 2 1902
4.06970+ 1 1.n9A49+ I 4.~7zw6+ I 1008847* 1 4.07430* ~ 1.0817]+ 1 57 3 2 1903
4C07R90+ 1 i.06644+ I 401j13033+ 1 1.06332+ 1 ~;Orn247+ I 10n5764* 1 57 3 .? 1904
4.08A34. 1 1.fi4651* 1 4C09710+ 1 1.01345+ 1 ~,10049+ 1 1001154* 1 57 3 2 1905
4.11949+ 1 1.01344* 1 4.12000* 1 1.01392* 1 2.12590+ I 1.01458+ 1 57 3 7 1906
4.13065+ I IOC1694+ I 4.13500+ I 1,02043* 1 ~.13935* 1 1.0256s* 1 57 3 2 1907
4.14>90+ 1 1.03233+ I 4.144?o+ 1 1002716+ 1 ~.15042* 1 1.01150+ ~ 57 3 2 1908
4.15388+ 1 1.n0952. I 4.15458+ I 1.012!7* I t.15660* I 1.01282* 1 57 3 2 1909
4.15900+ 1 1.c2524* I 4.16162+ I 1.04203* 1 t.lQ412* 1 1.n6609+ 1 57 3 2 1910
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4.17864. I 1.30609+ I 4.\7940+ 1 1.319/3+ I 4.iqz16+ 1 1,36170+ 1 57 3 2 1912
4.18487+ I 1.39788+ 1 4eIR730+ 1 }.424754 I ~.1~973+ I 1.44515+ 1 57 3 ? 1913
4.19?44+ 1 1.45928. \ 4.\QF96. 1 1,463]3+ ] f,19770+ 1 1045223+ 1 57 3 2 1914
4.20511+ 1 1.41776* 1 4.?1140+ 1 1,35231+ I 2021430+ I 1,32950* 1 57 3 2 1915
4.21784+ 1 1.30@67* I 4.??056+ I 1,28060* 1 ~.223(10* 1 1.?6457+ 1 57 3 z 1916
4.?2544+ 1 1.75051+ 1 4.?2816+ I 1.23708+ 1 todZ970+ I 1.230~7* 1 57 3 2 1917
4.23170+ I 1.21843+ 1 4.73890* 1 1.18486+ 1 :.24236+ 1 1.16858* 1 57 3 2 1918
4.24594. 1 1.15604. I 4.?491i4* 1 1014559. 1 ~02b710+ 1 1.13324+ 1 57 3 ~ 1919
4.i?60?5+ 1 1.13042+ 1 4.>6381+ I IC13060* I f,2~655* 1 1,13193* 1 57 3 2 1920
4.26900+ I ~,13327+ \ 40~7@qf)+ I 1.13417+ I ~,d!145+ 1 1.]3424+ 1 57 3 2 1921
4.27619. 1 1.1340]. 1 4.?7775+ 1 1.13224+ I 3,2#000+ I 1,1?809* 1 57 3 2 1922
4.28846+ 1 1.llo6n+ 1 4.?891o+ 1 1010824* 1 ~,ZY644* 1 1.o81O9* 1 57 3 2 1923
4.30290+ 1 1.05536+ 1 4.304?5+ I 1005062* I ~C31214* 1 1003214* 1 57 3 2 1924
4.32618. I 1.03404+ 1 403?110+ I 1.03761+ I S033030+ 1 1.09466* 1 57 3 2 1925
4.33098+ I 1009~81+ \ 4.33457+ I 1011489+ 1 ~.S3733* I 1.12924* 1 57 3 2 1926
4633980. 1 IC]4160. 1 4.s4227+ 1 1.15281+ 1 4,345n3+ 1 1,16326+ 1 57 3 2 1927
4034860. I 1017252. I 4e348fi~+ I 1017257+ I ~~359&2* 1 1016575* 1 57 3 2 1928
4.36483. 1 1.14788+ 1 4036690+ 1 1013973. I ~,3T(126+ 1 1C]4251* 1 57 3 2 1929
40380f10. 1 1.15865+ I 4,38]13+ I IC15583. 1 ~.3~474* 1 1.14152* 1 57 3 2 1930
4.38751+ 1 1.13190+ 1 4,3900@+ I 1.12412* x ~03’J249* 1 1011728+ 1 57 3 z 1931
4639350+ 1 1011462. 1 4.39451+ I 1C11200+ 1 ~,+9700* 1 1010561* 1 57 3 2 1932
4,39969+ 1 IOA9909. 1 4,602?7+ 1 1.09135+ I ~040340* 1 1.08781+ 1 57 3 2 1933
4.40588+ 1 1.P8495* 1 4.4167S* I 1006180+ 1 ~041710* 1 1.06078* 1 57 3 2 1934
4.42484. 1 1.@4287. 1 4,4p8q9. 1 1.0350i. 1 4.43196* I 1.0P858* 1 57 3 ~ 1935
4.44000~ 1 10n239n+ 1 4.44@ll+ 1 1.02420+ I 4.45106+ I l,n7569+ 1 57 3 ~ 1936
4.45470. 1 1009928+ 1 4.45749+ I 1011876* 1 4i49000* 1 1.13676* 1 57 3 2 1937
4.46P%I. 1 1.15486+ I 404APqO+ 1 1.15766* I fi46530* I 1.1S537+ 1 57 3 2 1938
4.46894+ 1 1.15057+ 1 4.67)34+ 1 1.14636+ I ~,~/635+ I t,]3395+ 1 57 3 2 1939
4,48s94+ 1 1010525+ 1 4,48570. 1 1,09648+ I 4,49977+ I IOIO536+ 1 57 3 2 194(3
4049500. 1 1.11321+ 1 4e50023+ I 1011890+ 1 ~.506@6+ 1 1.12355* 1 57 3 2 1941
4.50860. 1 1.12492* 1 4.51365+ I 1.12239+ I t,53140+ 1 1010327* 1 57 3 % 1942
4.53649+ 1 1.(’)9490+ I 40S5154+ 1 1.06633+ 1 ~,55430* I 1.06227* 1 57 3 2 1943
4.S5R84+ I 1.P541o+ 1 4.66994* I 1.04030* 1 ~057363* 1 1.03753* 1 57 3 ? 1944
4,57646+ 1 1.03571+ I 4,G7710+ \ 1003532+ 1 ~,5791)0+ I 1,03457+ 1 57 3 2 1945
4,58154* I 10C33’53+ I 405R477+ \ 10032}9+ I ~.588n6+ I 1.0?992* I 57 3 P 1946
4,59916* 1 1.01736+ 1 4oAo0no+ 1 1001398+ I ~,60741+ 1 9,85352+ O 57 3 2 1947
4.61810+ 1 9.59617* c) 4,A1813* 1 9.59335* o ~.6k873* 1 9.28143* O 57 3 2 1948
~.63630+ 1 9.n4594. o 4.f53944. 1 8.97268. n 4~650~8+ 1 8.78606. 0 57 3 2 1949
+.65440+ 1 8.78682+ o 4e6%RA3* 1 9,01851* o 2.66984+ I 9.9,9041+ O 57 3 2 1950
4.67?60. 1 1002910+ I 4.673%7. I I,03109+ I $.67663+ I 1.n4014* 1 57 3 ? 1951
4.679no. I 10n50~8t 1 4.~filq7. 1 ~00~202. 1 ~,6b443+ I 1.n7655* 1 57 3 ? 1952
4.68816. I 1.n9672* I 4,~90n4* I 1.10702+ I ‘j.69i92* 1 1011718+ 1 57 3 2 1953
4.69c65+ I 1.13521+ 1 40~9853+ I IC14775* 1 ~.7(jl10* I 1.15698+ 1 57 3 2 1954
4.70~67+ 1 1.16392+ I 4e7n665* ~ 1016857+ 1 ~,71028* 1 1016930* I 57 3 ? 1955
4.7.2152. 1 1.13436* I 4c7~7no+ 1 1009840+ 1 ~07z9s9+ 1 1008876* I 57 3 z 1956
4.74975+ 1 1.n3468+ 1 4.74%10+ 1 1.01139+ 1 $,74RFIl* 1 9.91536+ O 57 3 z 1957
4.75695+ I 9.51961+ q 4.76330+ I 9.32u31* n 4.76792* 1 9.?0625* O 57 3 i! 1958
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4.7887o. 1 1.r12830. I 4079150+ 1 1004898+ I 4,79440* 1 1,07170* 1 57 3 2 1960
4.79590. 1 X.08359. I 40797no+ 1 1.o81OO* I ~.~9960* 1 1.07440+ 1 57 3 2 1961
4.80?50+ 1 1.06622* I 4.s66?7+ I 1COS326* 1 4.80680* 1 1.05072* 1 57 3 z 1962
4.81347+ 1 loo5190+ 1 40~1770+ 1 100&5674 1 :,62070+ 1 1005767. 1 57 3 2 1963
4.82448+ 1 1.06857+ I 4.827?9+ I 1.07532~ 1 ~*~2860* 1 1.07762* 1 57 3 2 1964
97
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4C83000+ I 101i7888. I 40R3~61+ I 1008027+ I ~0835s2+ 1 100F4@78+ 1 57 3 2 1965
4.83930+ 1 1.(37995+ 1 40R3950+ 1 1C07980+ I ~08507(1+ 1 1005117+ 1 57 3 2 1966
4.85600+ 1 1.04341+ 1 4.85494+ I 1004166+ 1 torn5919+ 1 1.n3628+ 1 57 3 2 1967
4.86120+ 1 1.113693+ 1 4CR6850. 1 1004595+ I ~.~7065+ 1 1.04617+ 1 57 3 ? 1968
4.87445+ 1 1.05193+ 1 4.87738+ I le05686+ I 4,8f+noo+ 1 1.r16153+ 1 57 3 2 1969
4.88?62+ 1 1.tifY564+ I 4.88555+ 1 1006899* 1 ~088660* I 1006945+ 1 57 3 2 1970
4.88935+ 1 1.fj5977+ I 4eR8999+ 1 1.05718+ 1 4,89063+ 1 1.05647+ 1 57 3 2 1971
4089340. 1 10041]5+ I 4eR9444+ 1 lo04053+ 1 4,89737+ 1 1.03638* 1 57 3 2 1972
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4.90556+ 1 1002640. 1 4e9fj9?7+ 1 100Z480+ I S,Y1200+ 1 lo02891+ 1 57 3 2 1974
4C91930+ 1 1.~3374b 1 4.9~1)85+ 1 1.03398+ I ~e92086b 1 leo3399& 1 57 3 2 1975
4.92086+ 1 1.03400+ 1 4.93.?39+ I 1008636+ 1 ~093380+ 1 1.09549+ 1 57 3 2 1976
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4.94444. 1 1.14478. 1 4.94738+ I 1.15291. 1 +.951P1+ 1 1015716* 1 57 3 ~ 1978
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4.97]32+ 1 1.08812+ I 4.Q7618+ 1 1005521~ I ~,97730+ 1 1.04777+ 1 57 3 2 1980
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5.00132+ 1 9.44636. I) 5e~0518+ 1 9.37323+ o ?.00814+ 1 9.33793* O 57 3 2 1982
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5.08122+ 1 9018202. 0 5,~84~~~ j 9e02085+ o ~.08949+ 1 f3.89821+ o 57 3 2 1989
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5.117P]+ I 1.I581o* 1 5.1~111* ~ 1.?3125+ I 5s12411* 1 1.?8606+ 1 57 3 2 1991
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5.16570. 1 1032861+ 1 5e]A871+ 1 1.?9847. 1 5.17262+ 1 1026040+ 1 57 3 ~ 1995
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5.50362. 1 1.46149+ 1 Seq0640. i 10S1040+ 1 9.5b8RO* 1 1.%4524* 1 57 3 ,? 2015
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57 3102 4585
57 3102 4586
57 3102 4587
57 3~02 4588
57 3102 4S89
57 3102 4590
57 3102 4591
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57 3]o2 4593
57 3102 4594
57 3102 4595
57 3102 4596
57 3102 4597
57 3102 4598
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57 3102 4600
57 3102 4601
57 3102 4602
57 3102 4603
57 3102 46o4
57 3102 46o5
57 3102 46o6
57 3102 46o7
57 3102 46o8
57 3102 46o9
57 3102 461o
57 3102 4611
57 3102 4612
57 3102 4613
57 3102 4614
57 3102 4615
57 3102 4616
57 3102 4617
57 3102 4618
57 3102 4619
57 3102 462o
57 3102 4621
57 3102 4622
57 3102 4623
57 3JOZ 4624
57 3102 4625
57 3102 4626
57 3102 4627
57 3102 4628
57 3102 4629
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57 3102 463I
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57 3102 4633
57 3102 4634
57 3102 4635
57 3102 4636
57 3102 4637
57 3102 4638
57 3102 4639
57 3102 4640
57 3102 4641
57 3102 4642
135

136
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5.86800+ 1 1.98701+ I 5087027+ I 1.92500+ I 5gfJ7348+ 1 1081678* 1 57 3102 4723
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137

138
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6.0000E+05 8.ii935E-n7 7.1000E*~5 6.9463~-07 5*OOOOE60S 5.4721E-07
9.ooooE+05 4.3243E-n7 1.~~oi3E*~6 3.z797E-07 L.~500E+06 Z.5556E-07
1.3300E.06 2.A456E-n7 106600E+06 1.3404~-07 4.0000E+06 7.8360E-08
2.5000E*06 4.1981E-n8 3.~ooijE~fi6 Z.3298~-08 ~.5000E*06 1.3048E-08
4=ooooE*06 704111E-(19 40S~oOE’ii6 402498~-09 ?*0600E*06 2051,64E-09
5=5000E’06 1*6521E-09 6*;pO(IE+~6 6.7517E-IO {*ooooE*06 108208E-lo
8.0000E*06 9.97z3E-13 9.~oooE+06 909723E-13 ~!ooooE*07 9W9723E-13
l=200nE’07 9=9723E-13
0= I*7000E+07 6 0 1 34
34
0. 5.1190E-o; leiiOOQE+b4 5.2661E-07 ~yOOOOE+04 5.4377E-07
4.5000E*04 5.s847E-07 6.;fjo(jE~~4 5,8543E-07 I~ooooE*05 6.z973E-07
1.5000E.05 6.8951E-07 2.?IjoIjE.ij5 7.7368E-07 ~.oootIE+05 8.5673E-07
4.0000E.05 8.9342E-IJ7 4e5000E6ij5 8.9386~-07 ~.0000E*05 8.7971E-07
600000E+05 8.2970E-n7 70ijoo0E+05 7mI.567~-07 ~.0000E+05 5.5775E-07
9.0000E*05 4.3358E-07 l,fioooE*~6 3.2501E-07 1*z500E*06 2.5084Ew07
1.3300E*06 1.9882E-07 1.6600E+G6 1.2327E-n7

2.
3.
4.
5.
6.
7.
2*5000E*06 3.6411E-08 3.~oooE+~6 2.1829E-08 ~.5booE+06 1.2628E-08 5715 3 7325
4.0000E*06
5.5000E*06
7.1736E-09
1.3183E-09
4.500~E+”~6 4.o83 E-09
6.~tjoIjE*06 5.t354! E-IO
3eooooE*06
~e0000E*06
2.3550E-09
1.4582E-1~ 5715
5715
3 7326
7327
8=ooooE+06
1.2000E*07
9*9618E-13
9.9618E-13
9*~IjOQE+~6 909618~-13 1!ooooE*07 9.9618E-13
5715
5715
5715
3
3
0
7328
7329
7330
57 0
0 0
-1-0
i
0
-o
7331
7332
7333
REFERENCES
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!!Datap~mta and procedures for
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