=======================================================================
Recent

Recent

PROGRAM
RECENT
Recent

VERSION 79-1
(OCTOBER 1979)  CDC-7600
Recent

VERSION 80-1
(MAY 1980)
IBM, CDC AND CRAY VERSION
Recent

VERSION 80-2
(DECEMBER 1980) IMPROVED TREATMENT OF UNRESOLVED      Recent

REGION
TO COMPUTE ALL REACTIONS AT
Recent

THE SAME TIME.
Recent

VERSION 81-1
(MARCH 1981)  IMPROVED BASED ON USER
COMMENTS.        Recent

VERSION 81-2
(AUGUST 1981) ADDED MONITOR MODE. ADDED SPEED OPTION  Recent

TO BYPASS BACKWARDS THINNING IF FILE 3  Recent

ALLOWABLE ERROR = 0.0 (NOTE THIS OPTION Recent

WILL RESULT IN ALL TABULATED POINTS     Recent

FROM THE EVALUATION BEING KEPT IN THE   Recent

OUTPUT FROM THIS PROGRAM).
Recent

VERSION 82-1
(JANUARY 1982) IMPROVED COMPUTER COMPATIBILITY.
Recent

VERSION 83-1
(JANUARY 1983)*MAJOR RE-DESIGN.
Recent

*PAGE SIZES INCREASED.
Recent

*ELIMINATED COMPUTER DEPENDENT CODING.  Recent

*NEW, MORE COMPATIBLE I/O UNIT NUMBERS. Recent

*ADDED OPTION TO KEEP ALL RECONSTRUCTED Recent

AND BACKGROUND ENERGY POINTS.          Recent

*ADDED STANDARD ALLOWABLE ERROR OPTIONS Recent

(CURRENTLY 0.1 PER-CENT RECONSTRUCTION Recent

AND 0.0 PER-CENT THINNING).
Recent

VERSION 83-2
(OCTOBER 1983) IMPROVED BASED ON USER COMMENTS.
Recent

VERSION 84-1
(JANUARY 1984) IMPROVED INTERVAL HALFING CONVERGENCE. Recent

VERSION 85-1
(APRIL 1985)  *A BRAND NEW PROGRAM
WHICH COMPLETELY   Recent

SUPERCEDES
ALL PREVIOUS VERSIONS OF
Recent

THIS PROGRAM.
Recent

*UPDATED FOR ENDF/B-VI FORMATS.
Recent

*ADDED
GENERAL REICH-MOORE FORMALISM
Recent

(WITH TWO FISSION CHANNELS).
Recent

*DECREASED RUNNING TIME.
Recent

*SPECIAL I/O
ROUTINES TO GUARANTEE      Recent

ACCURACY OF ENERGY.
Recent

*DOUBLE PRECISION TREATMENT OF ENERGY   Recent

(REQUIRED FOR NARROW RESONANCES).      Recent

VERSION 85-2
(AUGUST 1985) *FORTRAN-77/H VERSION
Recent

VERSION 86-1
(JANUARY 1986)*ENERGY DEPENDENT SCATTERING RADIUS     Recent

VERSION 86-2
(JUNE 1986)   *IF FIRST CHANCE
FISSION (MT=19)
Recent

BACKGROUND IS PRESENT ADD RESONANCE    Recent

CONTRIBUTION OF FISSION TO IT.
Recent

VERSION 86-3
(OCTOBER 1986)*MULTI-LEVEL OR REICH-MOORE..CORRECT    Recent

POTENTIAL SCATTERING CROSS SECTION FOR Recent

MISSING AND/OR FICTICIOUS (L,J)
Recent

SEQUENCES.
Recent

VERSION 87-1
(JANUARY 1987)*IMPROVED COMBINING FILE 2+3
Recent

VERSION 87-2
(MARCH 1987)  *CORRECTED ADLER-ADLER
CALCULATIONS.    Recent

VERSION 88-1
(JULY 1988)   *UPDATED
REICH-MOORE ENDF/B-VI FORMAT
Recent

TO BE THE SAME AS REICH-MOORE FORMAT   Recent

IN EARLIER VERSIONS OF ENDF/B FORMAT.  Recent

*CHECK FOR PRELIMINARY ENDF/B-VI
Recent

REICH-MOORE
FORMAT (NOW ABANDONED)
Recent

AND TERMINATE EXECUTION IF DATA IS     Recent

IN THIS FORMAT.
Recent

*CALCULATE
CHANNEL RADIUS OR SET IT
Recent

EQUAL TO THE SCATTERING RADIUS.
Recent

*IMPLEMENTED HYBRID R-FUNCTION WITH THE Recent

FOLLOWING
RESTRICTIONS
Recent

- ONLY INELASTIC COMPETITION (NO
Recent

CHARGED PARTICLES)
Recent

- NO TABULATED FILE 2 BACKGROUND
Recent

- NO TABULATED OPTICAL MODEL PHASE     Recent

SHIFT
Recent

*PROGRAM EXIT IF GENERAL R-MATRIX IN    Recent

THE EVALUATION (THIS FORMALISM WILL    Recent

BE IMPLEMENTED ONLY AFTER THE AUTHOR   Recent

RECEIVES REAL EVALUATIONS WHICH USE    Recent

THIS FORMALISM...UNTIL THEN IT IS      Recent

IMPOSSIBLE TO ADEQUATELY TEST THAT     Recent

THE CODING FOR THIS FORMALISM IS
Recent

CORRECT).
Recent

*INCREASED MAXIMUM NUMBER OF RESONANCES Recent

FROM 1002 TO 4008.
Recent

*DOUBLE PRECISION RESONANCE REGION      Recent

LIMITS.
Recent

*FILE 2 AND FILE 3 ENERGIES WHICH ARE   Recent

NEARLY
EQUAL ARE TREATED AS EQUAL      Recent

(I.E., SAME TO ABOUT 9 DIGITS).
Recent

*CHECK FILE 3 BACKGROUND CROSS SECTIONS Recent

IN
EDIT MODE.
Recent

*OPTION...INTERNALLY DEFINE FILENAMES   Recent

(SEE SUBROUTINE FILEIO FOR DETAILS).   Recent

VERSION 89-1
(JANUARY 1989)*PSYCHOANALYZED BY PROGRAM FREUD TO     Recent

INSURE PROGRAM WILL NOT DO ANYTHING    Recent

CRAZY.
Recent

*UPDATED TO USE NEW PROGRAM CONVERT     Recent

KEYWORDS.
Recent

*CORRECTED MULTILEVEL, REICH-MOORE AND  Recent

HYBRID R-FUNCTION POTENTIAL SCATTER    Recent

TO ACCOUNT FOR REPEATED J-VALUES FOR   Recent

THE SAME TARGET SPIN AND L-VALUE.      Recent

*ADDED LIVERMORE CIVIC COMPILER
Recent

CONVENTIONS.
Recent

*UPDATED TO USE NEW ENDF/B-VI
Recent

CONVENTION TO ALLOW UNRESOLVED
Recent

RESONANCE CONTRIBUTION TO ALREADY      Recent

BE INCLUDED IN THE FILE 3 CROSS
Recent

SECTIONS (INFINITELY DIULUTE
Recent

CONTRIBUTION).
Recent

VERSION 90-1
(JUNE 1990)   *UPDATED BASED ON
USER COMMENTS
Recent

*ADDED FORTRAN SAVE OPTION
Recent

*NEW
MORE CONSISTENT ENERGY OUTPUT      Recent

ROUTINE
Recent

VERSION 91-1
(JULY 1991)   *NEW UNIFORM
TREATMENT OF ALL RESONANCE Recent

FORMALISMS
(SEE, COMMENTS BELOW)
Recent

*NEW REICH-MOORE ALGORITHM
Recent

*MORE EXTENSIVE ERROR CHECKING AND      Recent

ERROR
MESSAGE EXPLANATIONS
Recent

VERSION 92-1
(JANUARY 1992)*MAJOR RESTRUCTING TO IMPROVE ACCURACY  Recent

AND COMPUTER INDEPENDENCE.
Recent

*INCREASED ENERGY POINT PAGE
SIZE FROM  Recent

1002 TO 4008.
Recent

*NO MORE THAN 2 ENERGY POINTS WHERE     Recent

CROSS SECTION IS ZERO AT BEGINNING     Recent

OF A SECTION FOR EACH REACTION,E.G.,   Recent

THRESHOLD FISSION.
Recent

*PROCESS ONLY A PORTION OF RESONANCE    Recent

REGION - SEE EXPLANATION BELOW
Recent

*ALL ENERGIES INTERNALLY ROUNDED PRIOR  Recent

TO CALCULATIONS.
Recent

*COMPLETELY CONSISTENT I/O AND ROUNDING Recent

ROUTINES - TO MINIMIZE COMPUTER
Recent

DEPENDENCE.
Recent

VERSION 93-1
(MARCH 1993)  *UPDATED REICH-MOORE
TREATMENT TO USE   Recent

L DEPENDENT SCATTERING RADIUS (APL)    Recent

RATHER THAN SCATTERING RADIUS (AP)     Recent

(SEE, ENDF/B-VI FORMATS AND
Recent

PROCEDURES MANUAL, PAGE 2.6)
Recent

*INCREASED PAGE SIZE FROM 4008 TO
Recent

20040
DATA POINTS.
Recent

*INCREASED MAXIMUM NUMBER OF RESONANCES Recent

FROM 4008 TO 20040.
Recent

VERSION 94-1 (JANUARY
1994)*VARIABLE ENDF/B DATA FILENAMES
Recent

TO ALLOW ACCESS TO FILE STRUCTURES     Recent

(WARNING - INPUT PARAMETER FORMAT      Recent

HAS BEEN
CHANGED).
Recent

*CLOSE ALL FILES BEFORE TERMINATING     Recent

(SEE, SUBROUTINE ENDIT)
Recent

VERSION 94-2
(AUGUST 1994) *CORRECTED ADDJ FOR ENERGY DEPENDENT    Recent

(TABULATED) SCATTERING RADIUS CASE.    Recent

VERSION 96-1
(JANUARY 1996) *COMPLETE RE-WRITE
Recent

*IMPROVED COMPUTER INDEPENDENCE
Recent

*ALL DOUBLE PRECISION
Recent

*ON SCREEN OUTPUT
Recent

*UNIFORM TREATMENT OF ENDF/B I/O
Recent

*IMPROVED OUTPUT PRECISION
Recent

*ALWAYS INCLUDE THERMAL VALUE
Recent

*DEFINED SCRATCH FILE NAMES
Recent

VERSION 97-1
(APRIL 1997)   *OPTIONAL MAKE
NEGATIVE CROSS
Recent

SECTION = 0 FOR OUTPUT
Recent

*INCREASED PAGE SIZE FROM 20040 TO      Recent

120000 DATA POINTS.
Recent

*INCREASED MAXIMUM NUMBER OF RESONANCES Recent

FROM 20040 TO 120000.
Recent

VERSION 99-1
(MARCH 1999)   *CORRECTED
CHARACTER TO FLOATING
Recent

POINT READ FOR MORE DIGITS
Recent

*UPDATED TEST FOR ENDF/B FORMAT
Recent

VERSION
BASED ON RECENT FORMAT CHANGE Recent

*UPDATED CONSTANTS BASED ON CSEWG      Recent

SUBCOMMITTEE RECOMMENDATIONS
Recent

*GENERAL
IMPROVEMENTS BASED ON
Recent

USER FEEDBACK
Recent

VERSION 99-2
(JUNE 1999)
*IMPLEMENTED NEW REICH-MOORE FORMALISM Recent

TO ALLOW DEFINITION OF (L,J,S) FOR    Recent

EACH SEQUENCE.
Recent

*ASSUME ENDF/B-VI, NOT V, IF MISSING   Recent

MF=1, MT-451.
Recent

VERS. 2000-1
(FEBRUARY 2000)*GENERAL IMPROVEMENTS BASED ON
Recent

USER FEEDBACK
Recent

VERS. 2002-1
(MAY 2002)
*OPTIONAL INPUT PARAMETERS
Recent

(SEPT. 2002)   *OUTPUT
RESONANCE WITH 9 DIGITS
Recent

*TO BE C AND C++ COMPATIBLE OUTPUT     Recent

VERS. 2004-1
(JAN. 2004)    *ADDED
INCLUDE 'recent.h'
Recent

*MADE ENDF/B-VII READY
Recent

*UPDATED FOR NEW REICH-MOORE LRF=7     Recent

PARAMETERS WITH COMPETITION
Recent

*ADDED COULOMB PENETRATION FACTORS FOR Recent

LRF=7 COMPETITIVE CHANNELS.
Recent

*EXTENDED DEFINITIONS OF PENETRATION   Recent

FACTOR,
LEVEL SHIFT FACTOR, AND
Recent

POTENTIAL SCATTERING PHASE SHIFT      Recent

ABOVE L = 5 TO INFINITY.
Recent

*ADDED
QUICK CALCULATION - IF THE      Recent

INPUT ALLOWABLE ERROR IS 1.0 OR MORE  Recent

(100 % OR MORE) THERE IS NO ITERATION Recent

TO
CONVERGENCE - CROSS SECTION ARE    Recent

QUICKLY CALCULATED ONLY AT A FIXED    Recent

SET OF ENERGY POINTS, BASED ON THE    Recent

ENERGY AND WIDTH OF ALL RESONANCES.   Recent

THIS CAN BE USED TO QUICKLY "SEE"     Recent

NEW EVALUATIONS THAT MAY CONTAIN      Recent

ERRORS, THAT WOULD OTHERWISE CAUSE    Recent

THIS CODE TO RUN FOR AN EXCESSIVELY   Recent

LONG TIME.
Recent

VERS. 2005-1
(JUNE 2005)    *ADDED
ENERGY DEPENDENT SCATTERING     Recent

RADIUS FOR ALL RESONANCE TYPES
Recent

(EARLIER ONLY BREIT-WIGNER ALLOWED).  Recent

VERS. 2007-1
(JAN. 2007)    *CHECKED
AGAINST ALL ENDF/B-VII.
Recent

*DECOUPLED PAGE SIZE FROM MAX. # OF    Recent

RESONANCES.
Recent

*INCREASED PAGE SIZE FROM 120,000 TO   Recent

750,000 DATA POINTS.
Recent

*KEPT MAX. # OF RESONANCE AT 120,000.  Recent

*CORRECTED ALL BACKGROUND = 0 CASE     Recent

Recent

OWNED,
MAINTAINED AND DISTRIBUTED BY
Recent

------------------------------------
Recent

THE NUCLEAR DATA
SECTION
Recent

INTERNATIONAL
ATOMIC ENERGY AGENCY
Recent

P.O. BOX
100
Recent

A-1400, VIENNA,
AUSTRIA
Recent

EUROPE
Recent

Recent

ORIGINALLY
WRITTEN BY
Recent

------------------------------------
Recent

DERMOTT E.
CULLEN
Recent

UNIVERSITY OF
CALIFORNIA
Recent

LAWRENCE
LIVERMORE NATIONAL LABORATORY
Recent

L-159
Recent

P.O. BOX
808
Recent

LIVERMORE, CA
94550
Recent

U.S.A.
Recent

TELEPHONE  925-423-7359
Recent

E. MAIL    [email-masked]
Recent

WEBSITE
HTTP://WWW.LLNL.GOV/CULLEN1
Recent

Recent

Acknowledgement
(Version 2004-1)
Recent

==================================================================
Recent

The author
thanks Nancy Larson, ORNL, for providing her SAMRML     Recent

code for comparison to
RECENT output for Reich-Moore evaluations,
Recent

in particular to
verify results for the new LFR=7 evaluations. I   Recent

also thank her
for providing guidance to help me understand and    Recent

implement this
new teatment for Reich-Moore parameters.
Recent

Recent

ACKNOWLEDGEMENT
(VERSION 92-1)
Recent

==================================================================
Recent

THE AUTHOR
THANKS SOL PEARLSTEIN (BROOKHAVEN NATIONAL LAB) FOR     Recent

SIGNIFICANTLY
CONTRIBUTING TOWARD IMPROVING THE ACCURACY AND
Recent

COMPUTER
INDEPENDENCE OF THIS CODE - THANKS, SOL
Recent

==================================================================
Recent

Recent

AUTHORS
MESSAGE
Recent

==================================================================
Recent

THE REPORT
DESCRIBED ABOVE IS THE LATEST PUBLISHED DOCUMENTATION   Recent

FOR THIS
PROGRAM. HOWEVER, THE COMMENTS BELOW SHOULD BE CONSIDERED Recent

THE LATEST
DOCUMENTATION INCLUDING ALL RECENT IMPROVEMENTS. PLEASE Recent

READ ALL OF
THESE COMMENTS BEFORE IMPLEMENTATION, PARTICULARLY     Recent

THE COMMENTS
CONCERNING MACHINE DEPENDENT CODING.                  Recent

Recent

AT THE PRESENT
TIME WE ARE ATTEMPTING TO DEVELOP A SET OF COMPUTER Recent

INDEPENDENT
PROGRAMS THAT CAN EASILY BE IMPLEMENTED ON ANY ONE     Recent

OF A WIDE
VARIETY OF COMPUTERS. IN ORDER TO ASSIST IN THIS PROJECT Recent

IT WOULD BE
APPECIATED IF YOU WOULD NOTIFY THE AUTHOR OF ANY
Recent

COMPILER
DIAGNOSTICS, OPERATING PROBLEMS OR SUGGESTIONS ON HOW TO  Recent

IMPROVE THIS
PROGRAM. HOPEFULLY, IN THIS WAY FUTURE VERSIONS OF    Recent

THIS PROGRAM
WILL BE COMPLETELY COMPATIBLE FOR USE ON YOUR
Recent

COMPUTER.
Recent

Recent

PURPOSE
Recent

==================================================================
Recent

THIS PROGRAM IS
DESIGNED TO RECONSTRUCT THE RESONANCE CONTRIBUTION Recent

TO THE CROSS
SECTION IN LINEARLY INTERPOLABLE FORM, ADD IN ANY     Recent

LINEARLY
INTERPOLABLE BACKGROUND CROSS SECTION AND OUTPUT THE      Recent

RESULT IN THE
ENDF/B FORMAT. THE CROSS SECTIONS OUTPUT BY THIS     Recent

PROGRAM WILL BE
LINEARLY INTERPOLABLE OVER THE ENTIRE ENERGY RANGE Recent

Recent

THE RESONANCE
CONTRIBUTION IS CALCULATED FOR TOTAL (MT=1),
Recent

ELASTIC (MT=2),
CAPTURE (MT=102) AND FISSION (MT=18), ADDED
Recent

TO THE
BACKGROUND (IF ANY) AND OUTPUT. IN ADDITION, IF THERE
Recent

IS A FIRST
CHANCE FISSION (MT=19) BACKGROUND PRESENT THE RESONANCE Recent

CONTRIBUTION OF
FISSION WILL BE ADDED TO THE BACKGROUND AND
Recent

OUTPUT. IF THERE
IS NO FIRST CHANCE FISSION (MT=19) BACKGROUND     Recent

PRESENT THE
PROGRAM WILL NOT OUTPUT MT=19.
Recent

Recent

IN THE FOLLOWING
FOR SIMPLICITY THE ENDF/B TERMINOLOGY--ENDF/B     Recent

TAPE--WILL BE
USED. IN FACT THE ACTUAL MEDIUM MAY BE TAPE, CARDS,  Recent

DISK OR ANY
OTHER MEDIUM.
Recent

Recent

PROCESSING DATA
IN THE ENDF/B-VI FORMAT
Recent

==================================================================
Recent

IT HAS NOW BEEN
CONFIRMED (PRIVATE COMMUNICATION, CHARLES DUNFORD, Recent

APRIL, 1991)
THAT THE PROPER PROCEDURE TO FOLLOW WHEN THERE ARE    Recent

MISSING OR
DUPLICATE J VALUES IS TO IN ALL CASES ADD A SEQUENCE    Recent

WITH NO
RESONANCES TO ACCOUNT FOR THE CONTRIBUTION OF THE SEQUENCE Recent

TO THE POTENTIAL
SCATTERING CROSS SECTION.
Recent

Recent

THIS IS THE
PROCEDURE WHICH WAS FOLLOWED BY ALL VERSIONS OF RECENT Recent

SINCE 86-3 AND
WILL CONTINUE TO BE THE PROCEDURE.
Recent

Recent

INPUT ENDF/B
FORMAT AND CONVENTIONS
Recent

==================================================================
Recent

ENDF/B
FORMAT
Recent

-------------
Recent

THIS PROGRAM
ONLY USES THE ENDF/B BCD OR LINE IMAGE FORMAT (AS     Recent

OPPOSED TO THE
BINARY FORMAT) AND CAN HANDLE DATA IN ANY VERSION   Recent

OF THE ENDF/B
FORMAT (I.E., ENDF/B-I, II,III, IV, V OR VI FORMAT). Recent

Recent

IT IS ASSUMED
THAT THE DATA IS CORRECTLY CODED IN THE ENDF/B
Recent

FORMAT AND NO
ERROR CHECKING IS PERFORMED. IN PARTICULAR IT IS     Recent

ASSUMED THAT THE
MAT, MF AND MT ON EACH LINE IS CORRECT. SEQUENCE  Recent

NUMBERS (COLUMNS
76-80) ARE IGNORED ON INPUT, BUT WILL BE          Recent

CORRECTLY OUTPUT
ON ALL CARDS. THE FORMAT OF SECTION MF=1, MT=451  Recent

AND ALL SECTIONS
OF MF=2 AND 3 MUST BE CORRECT. THE PROGRAM COPIES Recent

ALL OTHER
SECTION OF DATA AS HOLLERITH AND AS SUCH IS INSENSITIVE  Recent

TO THE
CORRECTNESS OR INCORRECTNESS OF ALL OTHER SECTIONS.
Recent

Recent

ENDF/B FORMAT
VERSION
Recent

---------------------
Recent

THE FORMATS AND
CONVENTIONS FOR READING AND INTERPRETING THE DATA  Recent

VARIES FROM ONE
VERSION OF ENDF/B TO THE NEXT. HOWEVER, IF THE     Recent

HOLLERITH
SECTION (MF=1, MT=451) IS PRESENT IT IS POSSIBLE FOR     Recent

THIS PROGRAM TO
DISTINGUISH BETWEEN DATA IN THE ENDF/B-IV, V AND   Recent

VI FORMATS AND
TO USE THE APPROPRIATE CONVENTIONS FOR EACH
Recent

ENDF/B VERSION
(SEE, SUBROUTINE FILE1 FOR A DESCRIPTION OF HOW     Recent

THIS IS DONE).
IF THE HOLLERITH SECTION IS NOT PRESENT THE
Recent

PROGRAM WILL
ASSUME THE DATA IS IN THE ENDF/B-VI FORMAT AND USE    Recent

ALL CONVENTIONS
APPROPRIATE TO ENDF/B-V. USERS ARE ENCOURAGED TO   Recent

INSURE THAT THE
HOLLERITH SECTION (MF=1, MT=451) IS PRESENT IN     Recent

ALL
EVALUATIONS.
Recent

Recent

INPUT OF
ENERGIES
Recent

-----------------
Recent

ALL ENERGIES ARE
READ IN DOUBLE PRECISION (BY SPECIAL FORTRAN I/O  Recent

ROUTINES) AND
ARE TREATED IN DOUBLE PRECISION IN ALL CALCULATIONS. Recent

Recent

OUTPUT ENDF/B
FORMAT AND CONVENTIONS
Recent

==================================================================
Recent

CONTENTS OF
OUTPUT
Recent

------------------
Recent

ENTIRE
EVALUATIONS ARE OUTPUT, NOT JUST THE RECONSTRUCTED FILE     Recent

3 CROSS
SECTIONS, E.G. ANGULAR AND ENERGY DISTRIBUTIONS ARE
Recent

ALSO
INCLUDED.
Recent

Recent

DOCUMENTATION
Recent

-------------
Recent

THE FACT THAT
THIS PROGRAM HAS OPERATED ON THE DATA IS DOCUMENTED  Recent

BY THE ADDITION
OF COMMENT CARDS AT THE END OF EACH HOLLERITH      Recent

SECTION IN THE
FORM
Recent

Recent

***************** RECENT (VERSION 2007-1) ***************
Recent

RESONANCE
CONTRIBUTION RECONSTRUCTED TO WITHIN
0.100 PER-CENT
Recent

COMBINED DATA
NOT THINNED (ALL RESONANCE + BACKGROUND DATA KEPT)   Recent

Recent

THE ORDER OF ALL
SIMILAR COMMENTS (FROM LINEAR, SIGMA1 AND GROUPY) Recent

REPRESENTS A
COMPLETE HISTORY OF ALL OPERATIONS PERFORMED ON
Recent

THE DATA,
INCLUDING WHICH VERSION OF EACH PROGRAM WAS USED.
Recent

Recent

THESE COMMENT
CARDS ARE ONLY ADDED TO EXISTING HOLLERITH SECTIONS, Recent

I.E., THIS
PROGRAM WILL NOT CREATE A HOLLERITH SECTION. THE FORMAT Recent

OF THE HOLLERITH
SECTION IN ENDF/B-V DIFFERS FROM THE THAT OF      Recent

EARLIER VERSIONS
OF ENDF/B. BY READING AN EXISTING MF=1, MT=451    Recent

IT IS POSSIBLE
FOR THIS PROGRAM TO DETERMINE WHICH VERSION OF      Recent

THE ENDF/B
FORMAT THE DATA IS IN. WITHOUT HAVING A SECTION OF      Recent

MF=1, MT=451
PRESENT IT IS IMPOSSIBLE FOR THIS PROGRAM TO
Recent

DETERMINE WHICH
VERSION OF THE ENDF/B FORMAT THE DATA IS IN, AND   Recent

AS SUCH IT IS
IMPOSSIBLE FOR THE PROGRAM TO DETERMINE WHAT FORMAT  Recent

SHOULD BE USED
TO CREATE A HOLLERITH SECTION.
Recent

Recent

REACTION
INDEX
Recent

--------------
Recent

THIS PROGRAM
DOES NOT USE THE REACTION INDEX WHICH IS GIVEN IN     Recent

SECTION MF=1,
MT=451 OF EACH EVALUATION.
Recent

Recent

THIS PROGRAM DOES
NOT UPDATE THE REACTION INDEX IN MF=1, MT=451.   Recent

THIS CONVENTION
HAS BEEN ADOPTED BECAUSE MOST USERS DO NOT
Recent

REQUIRE A
CORRECT REACTION INDEX FOR THEIR APPLICATIONS AND IT WAS Recent

NOT CONSIDERED
WORTHWHILE TO INCLUDE THE OVERHEAD OF CONSTRUCTING  Recent

A CORRECT
REACTION INDEX IN THIS PROGRAM. HOWEVER, IF YOU REQUIRE  Recent

A REACTION INDEX
FOR YOUR APPLICATIONS, AFTER RUNNING THIS PROGRAM Recent

YOU MAY USE
PROGRAM DICTIN TO CREATE A CORRECT REACTION INDEX.     Recent

Recent

OUTPUT FORMAT OF
ENERGIES
Recent

-------------------------
Recent

IN THIS VERSION
OF RECENT ALL FILE 3 ENERGIES WILL BE OUTPUT IN    Recent

F (INSTEAD OF E)
FORMAT IN ORDER TO ALLOW ENERGIES TO BE WRITTEN   Recent

WITH UP TO 9
DIGITS OF ACCURACY. IN PREVIOUS VERSIONS THIS WAS AN  Recent

OUTPUT OPTION.
HOWEVER USE OF THIS OPTION TO COMPARE THE RESULTS   Recent

OF ENERGIES
WRITTEN IN THE NORMAL ENDF/B CONVENTION OF 6 DIGITS    Recent

TO THE 9 DIGIT
OUTPUT FROM THIS PROGRAM DEMONSTRATED THAT FAILURE  Recent

TO USE THE 9
DIGIT OUTPUT CAN LEAD TO LARGE ERRORS IN THE DATA     Recent

JUST DUE TO
TRANSLATION OF ENERGIES FROM THEIR INTERNAL (BINARY)   Recent

REPRESENTATION
TO THE ENDF/B FORMAT.
Recent

Recent

ACCURACY OF
ENERGY
Recent

------------------
Recent

IN ORDER TO
ALLOW ENERGIES TO BE ACCURATELY OUTPUT TO 9 DIGITS     Recent

ON SHORT WORD
LENGTH COMPUTERS (E.G. IBM) ALL ENERGIES AND
Recent

ENERGY DEPENDENT
TERMS ARE READ AND TREATED IN DOUBLE PRECISION.   Recent

Recent

OUTPUT OF
RESONANCE PARAMETERS
Recent

------------------------------
Recent

A SPECIAL
CONVENTION HAS BEEN INTRODUCED REGARDING RESONANCE
Recent

PARAMETERS. IN
ORDER TO ALLOW THE USER TO DOPPLER BROADEN AND/OR   Recent

SELF-SHIELD
CROSS SECTIONS THE RESONANCE PARAMETERS ARE ALSO
Recent

INCLUDED IN THE
OUTPUT WITH THE EVALUATION. IN ORDER TO AVOID THE  Recent

POSSIBILITY OF
ADDING THE RESONANCE CONTRIBUTION A SECOND TIME     Recent

TWO CONVENTIONS
HAVE BEEN ADOPTED TO INDICATE THAT THE RESONANCE   Recent

CONTRIBUTION HAS
ALREADY BEEN ADDED TO THE FILE 3 CROSS SECTIONS,  Recent

Recent

(1) WHEN THE
DATA IS PROCESSED BY THIS PROGRAM LRP (IN MF=1,
Recent

MT=451) IS SET
EQUAL TO 2. THIS IS A CONVENTION WHICH HAS BEEN     Recent

ADOPTED AS A
STANDARD CONVENTION IN ENDF/B-VI, BUT IS ONLY TO BE   Recent

USED FOR
PROCESSED DATA, AS OPPOSED TO THE ORIGINAL EVALUATIONS.   Recent

IN EVALUATIONS
WHICH CONTAIN MF=1, MT=451 LRP CAN BE USED TO       Recent

DETERMINE IF THE
MATERIAL HAS BEEN PROCESSED.
Recent

Recent

(2) THE LRU FLAG
IN EACH SECTION OF FILE 2 DATA IS CHANGED TO      Recent

LRU=LRU+3. FOR
EXAMPLE WHEN READING AN ENDF/B EVALUATION LRU=0     Recent

(NO RESONANCES),
=1 (RESOLVED) OR =2 (UNRESOLVED) INDICATES THAT   Recent

THE DATA IS IN
THE ORIGINAL ENDF/B FORM. LRU=3 (NO RESONANCES),    Recent

=4 (RESOLVED) OR
=5 (UNRESOLVED) INDICATES THAT THE RESONANCE      Recent

CONTRIBUTION HAS
ALREADY BEEN ADDED TO THE FILE 3 DATA. THIS
Recent

SECOND
CONVENTION HAS BEEN ADOPTED AS INSURANCE THAT THE RESONANCE Recent

CONTRIBUTION
WILL NOT BE ADDED TWICE, EVEN FOR EVALUATIONS WHICH   Recent

DO NOT CONTAIN
MF=1, MT=451 (EVALUATIONS WHICH CONTAIN MF=1,
Recent

MT=451 ARE
COVERED BY CONVENTION (1), DESCRIBED ABOVE).
Recent

Recent

UNIFORM
TREATMENT OF RESONANCE FORMALISMS
Recent

==================================================================
Recent

NORMALIZATION
Recent

=============
Recent

ALL OF THE
RESONANCE FORMALISMS INCLUDE A FACTOR OF,
Recent

Recent

PI*(FRACTIONAL
ABUNDANCE)/(K**2)
Recent

Recent

THIS FACTOR HAS
BEEN REMOVED FROM THE CALCULATION OF EACH TYPE     Recent

OF RESONANCE
FORMALISM AND IS APPLIED AS A FINAL NORMALIZATION     Recent

AFTER THE
CALCULATION, ONLY ONE PLACE IN THIS PROGRAM.
Recent

Recent

FOR SIMPLICITY
THIS TERM IS NOT INCLUDED IN THE FOLLOWING
Recent

DERIVATIONS - IN
ALL CASES THE ACTUAL CROSS SECTION IS A PRODUCT   Recent

OF THE ABOVE
FACTOR TIMES THE RESULTS PRESENTED BELOW.
Recent

Recent

SIMILARITIES
Recent

============
Recent

FOR THE RESOLVED RESONANCE REGION, EXCEPT
FOR SINGLE LEVEL BREIT
Recent

WIGNER,
PARAMETERS ALL OF THE FORMALISMS DEFINE THE CROSS SECTIONS Recent

IN AN EQUIVALENT
FORM,
Recent

Recent

TOTAL    = 2*GJ*REAL(1 - U)
Recent

= 2*GJ*(1 - REAL(U))
Recent

ELASTIC  =   GJ*(1 - U)**2
Recent

=   GJ*((1 - 2*REAL(U))
+ (REAL(U)**2 + IM(U)**2))
Recent

= 2*GJ*(1 - REAL(U)) - GJ*(1 - (REAL(U)**2 + IM(U)**2))   Recent

Recent

SINCE THE FIRST
TERM IS THE TOTAL, THE SECOND TERM MUST BE
Recent

ABSORPTION. SO
WE FIND,
Recent

Recent

ABSORPTION =
GJ*(1 - (REAL(U)**2 + IM(U)**2))
Recent

Recent

IN ALL CASES U
IS DEFINED IN THE FORM,
Recent

Recent

U        =
EXP(-I*2*PS)*((1-X) - I*Y)
Recent

Recent

WHERE (X) AND
(Y) ARE RELATED TO THE SYMMETRIC AND ANTI-SYMMETRIC  Recent

CONTRIBUTIONS OF
THE RESONANCES, RESPECTIVELY. ONLY THE DEFINITION Recent

OF (X) AND (Y)
WILL BE DIFFERENT FOR EACH RESONANCE FORMALISM.     Recent

BELOW WE WILL
SHOW THAT WHAT MIGHT APPEAR TO BE A STRANGE CHOICE   Recent

OF DEFINITION OF
THE SIGN OF (X) AND(Y) HAS BEEN SELECTED SO THAT  Recent

FOR BREIT-WIGNER
PARAMETERS (X) AND (Y) CORRESPOND EXACTLY TO THE  Recent

SYMMETRIC AND ANTI-SYMMETRIC
CONTRIBUTION OF THE RESONANCES.
Recent

Recent

U        =
(COS(2*PS) - I*SIN(2*PS))*((1-X) - I*Y)
Recent

=   ((1-X)*COS(2*PS) -
Y*SIN(2*PS))
Recent

=-I*((1-X)*SIN(2*PS) + Y*COS(2*PS))
Recent

Recent

REAL(U)  = ((1-X)*COS(2*PS) - Y*SIN(2*PS))
Recent

IM(U)    =-((1-X)*SIN(2*PS) +
Y*COS(2*PS))
Recent

Recent

R(U)**2  =((1-X)*COS(2*PS))**2 +
(Y*SIN(2*PS))**2
Recent

-2*(1-X)*Y*COS(2*PS)*SIN(2*PS)
Recent

I(U)**2  =((1-X)*SIN(2*PS))**2 +
(Y*COS(2*PS))**2
Recent

+2*(1-X)*Y*COS(2*PS)*SIN(2*PS)
Recent

Recent

THE TERMS
2*(1-X)*Y*COS(2*PS)*SIN(2*PS) CANCEL AND UPON USING      Recent

THE IDENTITY
COS(2*PS)**2 + SIN(2*PS)**2 = 1,                      Recent

Recent

SUM      = (1-X)**2 +
(Y)**2
Recent

Recent

WE NOW HAVE ALL
THE QUANTITIES THAT WE NEED TO DEFINE THE CROSS    Recent

SECTIONS,
Recent

Recent

ELASTIC
Recent

=======
Recent

ELASTIC  =GJ*(1 - 2*REAL(U) + (REAL(U)**2 +
IM(U)**2))
Recent

=GJ*(1 - 2*((1-X)*COS(2*PS)-Y*SIN(2*PS))+(1-X)**2+(Y)**2) Recent

Recent

THIS CAN BE
WRITTEN AS A SUM OF 2 SQUARES,
Recent

Recent

ELASTIC  =GJ*(COS(2*PS) - (1-X))**2 + (SIN(2*PS)
+ Y)**2)
Recent

Recent

=GJ*((COS(2*PS))**2 - 2*(1-X)*COS(2*PS) + (1-X)**2) +     Recent

(SIN(2*PS))**2 + 2*Y*SIN(2*PS)    + (Y)**2)
Recent

Recent

AGAIN USING THE
IDENTITY COS(2*PS)**2 + SIN(2*PS)**2 = 1, WE CAN   Recent

SEE THAT THE
DEFINITION AS THE SUM OF 2 SQUARES IS IDENTICAL TO    Recent

THE PRECEDING
DEFINITION OF THE ELASTIC.
Recent

Recent

ELASTIC  =GJ*(COS(2*PS) - (1-X))**2 + (SIN(2*PS)
+ Y)**2)
Recent

=GJ*((COS(2*PS)-1) + X)**2 + (SIN(2*PS) + Y)**2)
Recent

Recent

USING THE
IDENTITY (1 - COS(2*PS))) = 2*SIN(PS)**2, WE OBTAIN      Recent

THE FINAL FORM
FOR THE ELASTIC,
Recent

Recent

ELASTIC
=GJ*(2*SIN(PS)**2 - X)**2 + (SIN(2*PS) + Y)**2)
Recent

Recent

ABSORPTION
Recent

==========
Recent

ABSORPTION =
GJ*(1 - (REAL(U)**2 + IM(U)**2))
Recent

= GJ*(1 - ((1-X)**2   +
(Y)**2)
Recent

= GJ*(1 - (1 - 2*X + (X)**2 + (Y)**2)
Recent

= GJ*(2*X - (X)**2 + (Y)**2)
Recent

Recent

SINCE PHYSICALLY
THE ABSORPTION CANNOT BE NEGATIVE WE CAN SEE      Recent

THAT (X) MUST BE
POSITIVE AND 2*X MUST BE GREATER THAN
Recent

(X)**2 + (Y)**2,
FOR ALL OF THE FORMALISMS.
Recent

Recent

TOTAL
Recent

=====
Recent

IN THIS PROGRAM
THE TOTAL CROSS SECTION IS ALWAYS DEFINED TO BE    Recent

THE SUM OF ITS
PARTS - SO THE ABOVE DEFINITION IS NEVER EXPLICITLY Recent

USED. HOWEVER,
WE CAN LEARN SOMETHING BY EXAMINING THE DEFINITION, Recent

Recent

TOTAL    = 2*GJ*REAL(1 - U)
Recent

= 2*GJ*(1 - (((1-X)*COS(2*PS) - Y*SIN(2*PS)))
Recent

= 2*GJ*((1 - COS(2*PS))*(1-X) - (1-X) + Y*SIN(2*PS))      Recent

= 2*GJ*(2*SIN(PS)**2*(1-X)    - (1-X) + Y*SIN(2*PS))      Recent

Recent

= 4*GJ*SIN(PS)**2 +
Recent

2*GJ*((X-1) - 2*X*SIN(PS)**2 +
Y*SIN(2*PS))
Recent

Recent

THE IMPORTANT
POINT TO NOTE IS THAT THE DEFINITION OF THE TOTAL    Recent

DOES NOT
EXPLICITLY CONTAIN ANY DEPENDENCE ON X**2 AND Y**2 -      Recent

THE LEVEL-LEVEL
INTERFERENCE TERMS.
Recent

Recent

THIS IMPLIES
THAT IF A GIVEN SET OF RESONANCE PARAMETERS ARE USED  Recent

WITH THIS
DEFINITION THEY WILL PRODUCE EXACTLY THE SAME TOTAL      Recent

CROSS SECTION -
WHETHER WE CLAIM THE PARAMETERS HAVE BEEN
Recent

PRODUCED USING A
SINGLE OR MULTI-LEVEL FIT. THIS RESULT COULD      Recent

BE VERY
MISLEADING, IF THIS RESULT FOR THE TOTAL IS IMPLIED TO     Recent

MEAN THAT ONE
INTERPRETATION OR THE OTHER WILL NOT HAVE ANY
Recent

EFFECT ON THE
INDIVIDUAL CROSS SECTIONS.
Recent

Recent

STARTING FROM
EXACTLY THE SAME RESONANCE PARAMETERS, RELATIVE TO   Recent

THE RESULTS
OBTAINED USING THE SINGLE LEVEL FORMULA, MULTI-LEVEL   Recent

RESULTS WILL
TEND TO ALWAYS DECREASE THE ABSORPTION AND INCREASE   Recent

THE ELASTIC.
THIS CAN BE IMMEDIATELY SEEN FROM OUR GENERAL
Recent

MULTI-LEVEL
DEFINITION OF ABSORPTION,
Recent

Recent

ABSORPTION
=GJ*(2*X - ((X)**2 + (Y)**2))
Recent

Recent

THE SINGLE LEVEL
ABSORPTION IS,
Recent

Recent

ABSORPTION
=GJ*(2*X)
Recent

Recent

THE DIFFERENCE
BETWEEN THE TWO IS -2*GJ*(X**2 + Y**2), SO THAT     Recent

REGARDLESS OF
HOW WE DEFINE (X) AND (Y) THE INCLUSION OF THIS      Recent

TERM WILL ALWAYS
DECREASE ABSORPTION. SINCE THE TOTAL CROSS
Recent

SECTION IS THE
SAME IN BOTH CASE, THIS MEANS THAT THE ELASTIC      Recent

HAS BEEN
INCREASED BY THIS AMOUNT.
Recent

Recent

AGAIN, THESE
RESULTS ARE BASED ON STARTING FROM EXACTLY THE SAME   Recent

PARAMETERS - IN
ANY ACTUAL CASE THE PARAMETERS BASED ON A SINGLE   Recent

OR MULTI-LEVEL FIT WILL BE QUITE
DIFFERENT - THE POINT THAT WE     Recent

WANT TO STRESS
HERE IS THAT YOU SHOULD NEVER USE PARAMETERS
Recent

WHICH HAVE BEEN
DEFINED BY A FIT USING ONE FORMALISM - IN THE      Recent

EQUATIONS FOR A
DIFFERENT FORMALISM - AND ASSUME THAT THE RESULTS  Recent

WILL BE
CONSISTENT - AND NEVER USE THE TOTAL CROSS SECTION TO      Recent

SEE WHETHER OR
NOT A SET OF SINGLE LEVEL PARAMETERS CAN BE USED    Recent

WITH A
MULTI-LEVEL FORMALISM.
Recent

Recent

POTENTIAL CROSS
SECTION
Recent

=======================                                            Recent

FAR FROM
RESONANCES (X) AND (Y) WILL BE SMALL AND THE ELASTIC      Recent

CROSS SECTION
REDUCES TO,
Recent

Recent

ELASTIC
=GJ*(2*SIN(PS)**2)**2
+ (SIN(2*PS))**2
Recent

=GJ*4*(SIN(PS)**4
+ SIN(2*PS)**2
Recent

Recent

USING THE
IDENTITY SIN(2*PS) = 2*SIN(PS)*COS(PS)
Recent

Recent

=4*GJ*(SIN(PS)**4
+ (SIN(PS)*COS(PS))**2)          Recent

=4*GJ*SIN(PS)**2*(SIN(PS)**2 + COS(PS)**2)
Recent

=4*GJ*SIN(PS)**2
Recent

Recent

WHICH IS THE
POTENTIAL CROSS SECTION. NOTE THAT THIS RESULT IS     Recent

INDEPENDENT OF
THE FORMALISM USED, AS IT MUST PHYSICALLY BE,
Recent

AND AS SUCH
ALTHOUGH AS YET WE HAVE NOT DEFINED IT, WE CAN
Recent

NOW SEE THAT IN ALL
CASES (PS) MUST BE THE PHASE SHIFT AND FOR     Recent

CONSISTENCY IT
MUST BE DEFINED USING EXACTLY THE SAME DEFINITION   Recent

IN ALL
CASES.
Recent

Recent

IN ADDITION
SINCE PHYSICALLY FOR EACH L VALUE WE EXPECT TO OBTAIN  Recent

A POTENTIAL
CROSS SECTION,
Recent

Recent

4*(2*L+1)*SIN(PS)**2
Recent

Recent

OBVIOUSLY FOR
CONSISTENCY WE MUST HAVE,
Recent

Recent

(2*L+1) = (SUM
OVER J) GJ
Recent

Recent

ONLY IN THIS
CASE WILL THE RESULTS BE CONSISTENT - THIS POINT WILL Recent

BE DISCUSSED IN
DETAIL BELOW.
Recent

Recent

WHAT ARE THIS
TERMS (X) AND (Y)
Recent

===============================
Recent

(X) AND (Y) CAN
BE EASILY IDENTIFIED BY CONSIDERING THE SINGLE     Recent

AND MULTI-LEVEL
BREIT WIGNER FORMALISMS. IN THESE CASES WE WILL    Recent

FIND THAT,
Recent

Recent

X        =
GAM(N)*GAM(T)/2/DEN
Recent

Y        =
GAM(N)*(E-ER)/DEN
Recent

DEN      = ((E-ER)**2 +
(GAM(T)/2)**2)
Recent

Recent

EXTREME CARE HAS
TO BE USED TO PROPERLY DEFINE (Y) SUCH THAT IT    Recent

IS NEGATIVE FOR
E LESS THAN ER AND POSITIVE FOR E GREATER THAN     Recent

ER. I WILL
MERELY MENTION THAT THE EQUATIONS FOR ALL FORMALISMS    Recent

IN ENDF-102 DO
NOT CONSISTENTLY USE (E - ER) - IN SOME CASES
Recent

THIS IS WRITTEN
AS (ER - E), WHICH CAN LEAD TO AN INCORRECT
Recent

SIGN IN THE DEFINITION
OF THE (Y) THAT WE REQUIRE.
Recent

Recent

THE INTERFERENCE
TERMS CAN BE WRITTEN IN TERMS OF,
Recent

1) LEVEL-SELF
INTERFERENCE  = THE CONTRIBUTION OF
EACH LEVEL
Recent

INTERFERRING WITH ITSELF
Recent

2) LEVEL-LEVEL
INTERFERENCE = THE CONTRIBUTION OF EACH LEVEL
Recent

INTERFERRRING WITH ALL OTHER LEVELS
Recent

Recent

WE WILL REFER TO
THESE TWO AS (L-S) AND (L-L),
Recent

Recent

X**2     =
(GAM(N)*(GAM(T)/2)**2/(DEN)**2      + (L-L)
Recent

= (GAM(N)**2*((GAM(T)/2)**2)/(DEN)**2 + (L-L)
Recent

Y**2     =
(GAM(N))**2*((E-ER))**2/(DEN)**2    + (L-L)
Recent

Recent

X**2+Y**2=
GAM(N)**2*DEN/(DEN)**2 = GAM(N)**2/DEN + (L-L)
Recent

Recent

TO SEE THE
EFFECT OF INCLUDING MULTI-LEVEL INTERFERENCE WE CAN     Recent

CONSIDER OUR
GENERAL EXPRESSION FOR ABSORPTION,
Recent

Recent

ABSORPTION
=GJ*(2*X - ((X)**2 + (Y)**2))
Recent

Recent

AND NOTE THAT
FOR BOTH SINGLE AND MULTI-LEVEL BREIT WIGNER THE     Recent

ENDF-102 SAYS TO
TREAT ABSORPTION IN A SINGLE LEVEL APPROXIMATION  Recent

I.E., IGNORE
LEVEL-LEVEL INTERFERENCE. IF ALL INTERFERENCE IS      Recent

IGNORED THIS IS
EQUIVALENT TO COMPLETELY IGNORING X**2 + Y**2 AND  Recent

DEFINING,                                                          Recent

Recent

ABSORPTION
=GJ*2*X
Recent

=2*GJ*GAM(N)*GAM(T)/DEN
Recent

Recent

WHICH IS
INCORRECT - SINCE THIS SEEMS TO INDICATE EVERYTHING IS    Recent

ABSORBED. IN
ORDER TO OBTAIN THE CORRECT EXPRESSION WE CANNOT      Recent

COMPLETELY
IGNORE INTERFERENCE - WE CAN IGNORE LEVEL-LEVEL
Recent

INTERFERENCE,
BUT WE MUST INCLUDE LEVEL-SELF INTERFERENCE,
Recent

Recent

X**2+Y**2=
GAM(N)**2/DEN
Recent

Recent

ABSORPTION
=GJ*(2*X - ((X)**2 + (Y)**2))
Recent

=GJ*GAM(N)*(GAM(T)-GAM(N))/DEN
Recent

=GJ*GAM(N)*GAM(A)/DEN
Recent

Recent

SUMMARY
Recent

=======
Recent

AN IMPORTANT
POINT TO NOTE IS THE DEFINITION OF (X) AND (Y)
Recent

WHICH IN ALL
CASES WILL CORRESPOND TO THE SYMMETRIC AND
Recent

ANTI-SYMMETRIC
CONTRIBUTION OF THE RESONANCES. IN PARTICULAR
Recent

DEFINING (U) IN
TERMS OF (1-X) INSTEAD OF (X) IS EXTREMELY
Recent

IMPORTANT. NOTE,
THAT THE DEFINITION OF THE ELASTIC AND
Recent

ABSORPTION ONLY
INVOLVE (X), NOT (1-X). FAR FROM RESONANCES
Recent

(X) CAN BE
EXTREMELY SMALL, THEREFORE (1-X) WILL BE VERY CLOSE     Recent

TO (1). IF THE
CALCULATION PROCEEDS BY FIRST CALCULATING (1-X)     Recent

AND THEN
DEFINING (X) BY SUBTRACTING (1), EXTREME ROUND-OFF
Recent

PROBLEMS CAN
RESULT. THESE PROBLEMS CAN BE AVOIDED BY IN ALL
Recent

CASES DEFINING
(X) DIRECTLY, WITHOUT ANY DIFFERENCES.
Recent

Recent

IN EACH
FORMALISM THE DEFINITION OF (X) AND (Y) MAY BE DIFFERENT   Recent

BUT ONCE WE HAVE
DEFINED (X) AND (Y) WE CAN IMMEDIATELY WRITE      Recent

THE CROSS
SECTIONS USING A UNIFORM DEFINITION,
Recent

Recent

ELASTIC
=GJ*(2*SIN(PS)**2 - X)**2 + (SIN(2*PS) + Y)**2)
Recent

Recent

ABSORPTION
=-GJ*(2*X + (X)**2 + (Y)**2)
Recent

Recent

AND DEFINE THE
TOTAL AS THE SUM OF THESE 2 PARTS.
Recent

Recent

RELATIONSHIP TO
SINGLE LEVEL
Recent

============================
Recent

HOW DO THE
SINGLE AND MULTI-LEVEL FORMALISMS COMPARE. TO SEE,      Recent

STARTING FROM
OUR GENERAL DEFINITION OF THE ELASTIC IN THE FORM,   Recent

Recent

ELASTIC
=GJ*(2*SIN(PS)**2 + X)**2 + (SIN(2*PS) + Y)**2)
Recent

=GJ*(4*SIN(PS)**4 - 4*X*SIN(PS)**2 + X**2
Recent

+
SIN(2*PS)**2 + 2*Y*SIN(2*PS)  +
Y**2)
Recent

Recent

=4*GJ*SIN(PS)**2 +
Recent

GJ*(X**2 +
Y**2
Recent

-4*X*SIN(PS)**2
Recent

+2*Y*SIN(2*PS))
Recent

Recent

AND OUR SPECIFIC
DEFINITIONS OF (X) AND (Y) FOR MULTI-LEVEL BREIT- Recent

WIGNER
PARAMETERS,
Recent

Recent

X        =
GAM(N)*GAM(T)/2/DEN
Recent

Y        =
GAM(N)*(E-ER)/DEN
Recent

DEN      = ((E-ER)**2 +
(GAM(T)/2)**2)
Recent

Recent

X**2+Y**2=
GAM(N)**2/DEN + (L-L)
Recent

Recent

WE CAN RECOGNIZE
X**2 AND Y**2 AS THE INTERFERENCE - (L-S) + (L-L) Recent

TERMS IN THE
MULTI-LEVEL FORMALISM. IN ORDER TO OBTAIN THE SINGLE  Recent

LEVEL EQUATION
WE CAN ASSUME THAT EACH LEVEL DOES NOT INTERFERE    Recent

WITH ANY OTHER
LEVEL - THEREFORE THE (L-L) CONTRIBUTION IS ZERO.   Recent

Recent

ELASTIC
=4*GJ*SIN(PS)**2 +
Recent

GJ*GAM(N)*(GAM(N)
Recent

-2*GAM(T)*SIN(PS)**2
Recent

+2*(E-ER)*SIN(2*PS))/DEN
Recent

Recent

WHICH IS THE
FORM THAT IT APPEARS IN ENDF-102, EXCEPT FOR TWO      Recent

TYPOGRAPHICAL
ERRORS IN THE SECOND TERM,
Recent

Recent

-2*GAM(T)*SIN(PS)**2
Recent

Recent

WHICH IN ENDF-102
IS WRITTEN,
Recent

Recent

-2*(GAM(T)-GAM(N))*SIN(2*PS)**2
Recent

Recent

PROGRAM
CONVENTIONS
Recent

==================================================================
Recent

MINIMUM INPUT
DATA
Recent

------------------
Recent

FOR EACH
MATERIAL TO BE PROCESSED THE MINIMUM INPUT DATA ARE THE   Recent

RESONANCE
PARAMETERS IN FILE 2. IF THERE ARE NO FILE 2 PARAMETERS  Recent

IN A GIVEN
MATERIAL THE ENTIRE MATERIAL WILL SIMPLY BE COPIED.     Recent

NEITHER THE
HOLLERITH SECTION (MF=1, MT=451) NOR THE BACKGROUND    Recent

CROSS SECTION
(SECTIONS OF MF=3) NEED BE PRESENT FOR THIS PROGRAM  Recent

TO EXECUTE
PROPERLY. HOWEVER, SINCE THE CONVENTIONS USED IN
Recent

INTERPRETING THE
RESONANCE PARAMETERS DEPENDS ON ENDF/B VERSION    Recent

USERS ARE
STRONGLY RECOMMENDED TO INSURE THAT MF=1, MT=451 IS      Recent

PRESENT IN EACH
MATERIAL TO ALLOW THE PROGRAM TO DETERMINE THE     Recent

ENDF/B FORMAT
VERSION.
Recent

Recent

RESONANCE
PARAMETERS
Recent

--------------------
Recent

RESONANCE
PARAMETERS MAY BE REPRESENTED USING ANY COMBINATION      Recent

OF THE
REPRESENTATIONS ALLOWED IN ENDF/B,
Recent

(1) RESOLVED
DATA
Recent

(A) SINGLE LEVEL BREIT-WIGNER
Recent

(B) MULTI-LEVEL BREIT-WIGNER
Recent

(C) ADLER-ADLER
Recent

(D) REICH-MOORE
Recent

(E) HYBRID R-FUNCTION
Recent

(2) UNRESOLVED
DATA
Recent

(A) ALL PARAMETERS ENERGY INDEPENDENT
Recent

(B) FISSION PARAMETERS ENERGY DEPENDENT
Recent

(C) ALL PARAMETERS ENERGY DEPENDENT
Recent

Recent

THE FOLLOWING
RESOLVED DATA FORMALISMS ARE NOT TREATED BY THIS     Recent

VERSION OF THE
CODE AND WILL ONLY BE IMPLEMENTED AFTER EVALUATIONS Recent

USING THESE
FORMALISMS ARE AVAILABLE TO THE AUTHOR OF THIS CODE    Recent

FOR TESTING IN
ORDER TO INSURE THAT THEY CAN BE HANDLED PROPERLY   Recent

(A) GENERAL R-MATRIX
Recent

Recent

CALCULATED CROSS
SECTIONS
Recent

-------------------------
Recent

THIS PROGRAM
WILL USE THE RESONANCE PARAMETERS TO CALCULATE THE    Recent

TOTAL, ELASTIC,
CAPTURE AND POSSIBLY FISSION CROSS SECTIONS. THE   Recent

COMPETITIVE
WIDTH WILL BE USED IN THESE CALCULATIONS, BUT THE      Recent

COMPETITIVE
CROSS SECTION ITSELF WILL NOT BE CALCULATED. THE
Recent

ENDF/B
CONVENTION IS THAT ALTHOUGH A COMPETITIVE WIDTH MAY BE      Recent

GIVEN, THE
COMPETITIVE CROSS SECTION MUST BE SEPARATELY TABULATED  Recent

AS A SECTION OF
FILE 3 DATA.
Recent

Recent

RESOLVED REGION
Recent

---------------
Recent

IN THE RESOLVED
REGION THE RESOLVED PARAMETERS ARE USED TO
Recent

CALCULATE COLD
(0 KELVIN), LINEARLY INTERPOLABLE, ENERGY DEPENDENT Recent

CROSS
SECTIONS.
Recent

Recent

SCATTERING
RADIUS
Recent

-----------------
Recent

FOR SINGLE OR
MULTI LEVEL BREIT-WIGNER PARAMETERS THE SCATTERING   Recent

RADIUS MAY BE
SPECIFIED IN EITHER ENERGY INDEPENDENT (CONSTANT)    Recent

OR ENERGY
DEPENDENT FORM (A TABLE OF ENERGY VS. RADIUS AND AN      Recent

ASSOCIATED
INTERPOLATION LAW). IN ALL OTHER CASE ONLY AN ENERGY    Recent

INDEPENDENT
SCATTERING RADIUS IS ALLOWED.
Recent

Recent

FOR ANY ONE
MATERIAL (I.E. MAT) IF ENERGY DEPENDENT SCATTERING     Recent

RADII ARE GIVEN
THE TOTAL NUMBER OF INTERPOLATION REGIONS AND      Recent

TABULATED VALUES
FOR THE ENTIRE MATERIAL CANNOT EXCEED,
Recent

200 -
INTERPOLATION REGIONS
Recent

500 - TABULATED
VALUES
Recent

IF THESE LIMITS
ARE EXCEEDED THE PROGRAM WILL PRINT AN ERROR
Recent

MESSAGE AND
TERMINATE.
Recent

Recent

IF YOU REQUIRE A LARGER NUMBER OF
INTERPOLATION REGION AND/OR      Recent

TABULATED
VALUES,
Recent

(1)
INTERPOLATION REGIONS - INCREASE THE DIMENSION OF NBTRHO AND   Recent

INTRHO IN
COMMON/TABRHO/ THROUGHOUT THE PROGRAM AND CHANGE MAXSEC  Recent

IN SUBROUTINE
RDAP (MAXSEC = MAXIMUM NUMBER OF INTERPOLATION
Recent

REGIONS).
Recent

(2) TABULATED
VALUES - INCREASE THE DIMENSION OF ERHOTB, RHOTAB    Recent

AND APTAB IN
COMMON/TABRHO/ THROUGHOUT THE PROGRAM AND CHANGE      Recent

MAXRHO IN
SUBROUTINE RDAP (MAXRHO = MAXIMUM NUMBER OF TABULATED    Recent

VALUES).
Recent

Recent

RESOLVED
REICH-MOORE AND MULTI-LEVEL BREIT-WIGNER PARAMETERS
Recent

------------------------------------------------------------
Recent

CROSS SECTIONS
FOR REICH-MOORE PARAMETERS ARE CALCULATED ACCORDING Recent

TO THE EQUATION
(1) - (8) OF SECTION D.1.3 OF ENDF-102. IN ORDER   Recent

TO CALCULATE
CROSS SECTIONS FROM MULTI-LEVEL PARAMETERS IN A
Recent

REASONABLE
AMOUNT OF TIME THIS PROGRAM EXPRESSES THE CROSS SECTION Recent

IN TERMS OF A
SINGLE SUM OVER RESONANCES (SEE, ENDF-102, SECTION   Recent

D.1.2, EQUATIONS
6-7), RATHER THAN AS A DOUBLE SUM (SEE, ENDF-102  Recent

SECTION D.1.2,
EQUATION 1-2). IN ORDER FOR THE ENDF-102 EQUATIONS  Recent

TO BE CORRECT
THE PARAMETERS MUST MEET THE FOLLOWING CONDITIONS,   Recent

Recent

(1) FOR EACH L
STATE ALL PHYSICALLY POSSIBLE J SEQUENCES MUST BE   Recent

PRESENT. ONLY IN THIS CASE WILL THE CONTRIBUTIONS OF THE       Recent

INDIVIDUAL J SEQUENCES ADD UP TO PRODUCE THE CORRECT POTENTIAL
Recent

SCATTERING
CONTRIBUTION FOR THE L STATE (SEE, ENDF-102,
Recent

SECTION D.1.2, EQUATIONS 6-7). IF ANY J SEQUENCE IS MISSING    Recent

THE PROGRAM WILL PRINT A WARNING AND ADD THE J SEQUENCE WITH   Recent

NO RESONANCE PARAMETERS IN ORDER TO ALLOW THE POTENTIAL
Recent

SCATTERING TO BE CALCULATED CORRECTLY (THIS IS EQUIVALENT TO   Recent

ASSUMING THAT THE EVALUATOR REALIZES THAT ALL J SEQUENCES MUST
Recent

BE AND ARE PRESENT AND THAT THE EVALUATION STATES THAT THERE   Recent

ARE NO RESONANCES WITH CERTAIN PHYSICALLY POSSIBLE J VALUES...
Recent

IN THIS CASE POTENTIAL CONTRIBUTION MUST STILL BE CONSIDERED).
Recent

Recent

EXAMPLE
Recent

=======
Recent

AN EXAMPLE OF WHERE THIS OCCURS AND IS IMPORTANT TO CONSIDER   Recent

IS U-238 IN ENDF/B-IV AND V LIBRARIES WHERE FOR L=1 THERE IS   Recent

ONLY A J=1/2 SEQUENCE. NOT INCLUDING THE J=3/2 SEQUENCE LEADS  Recent

TO UNDERESTIMATING THE POTENTIAL SCATTERING AND PRODUCES
Recent

MINIMA IN THE ELASTIC CROSS SECTION WHICH ARE AN ORDER OF      Recent

MAGNITUDE LOWER THAN THE CROSS SECTIONS OBTAINED BE INCLUDING  Recent

THE J=3/2 SEQUENCE.
Recent

Recent

(2) FOR A GIVEN
TARGET SPIN AND L VALUE THERE MAY BE 2 POSSIBLE    Recent

MEANS OF OBTAINING THE SAME J VALUE. WHEN THIS OCCURS IN       Recent

ORDER TO CALCULATE THE CORRECT POTENTIAL SCATTERING CROSS      Recent

SECTION IT IS IMPORTANT TO INCLUDE THE EFFECT OF BOTH
Recent

POSSIBLE J SEQUENCES, EVEN THOUGH FROM THE ENDF/B DATA IT IS   Recent

NOT POSSIBLE TO DETERMINE WHICH OF THE 2 POSSIBLE SEQUENCES    Recent

ANY GIVEN RESONANCE BELONGS TO. IN THIS CASE THIS PROGRAM      Recent

TREAT ALL RESONANCES WITH THE SAME J VALUE AS BELONGING TO     Recent

THE SAME J SEQUENCE (TO ALLOW INTERFERENCE) AND WILL ADD AN    Recent

ADDITIONAL J SEQUENCE WITH NO RESONANCES IN ORDER TO ALLOW     Recent

THE POTENTIAL CROSS SECTION TO BE CALCULATED CORRECTLY. WHEN   Recent

THIS OCCURS A WARNING MESSAGE IS PRINTED, BUT BASED ON THE     Recent

ENDF/B DATA THERE IS NOTHING WRONG WITH THE DATA AND THERE IS  Recent

NOTHING THAT THE USER CAN DO TO CORRECT OR IN ANY WAY MODIFY   Recent

THE DATA TO ELIMINATE THE PROBLEM.
Recent

Recent

EXAMPLE
Recent

=======
Recent

FOR A TARGET SPIN =1 AND L=1 THE 2 RANGES OF PHYSICALLY
Recent

POSSIBLE J ARE 1/2, 3/2, 5/2 AND 1/2, 3/2. BY CHECKING THE     Recent

ENDF/B DATA IT IS POSSIBLE TO INSURE THAT THE 3 POSSIBLE
Recent

J VALUES (1/2, 3/2, 5/2) ARE PRESENT AND TO INCLUDE ALL 3      Recent

J SEQUENCES IN THE CALCULATIONS. HOWEVER, UNLESS ALL 5
Recent

POSSIBLE J SEQUENCES ARE INCLUDED THE STATISTICAL WEIGHTS      Recent

OF THE J SEQUENCES WILL NOT SUM UP TO 2*L+1 AND THE
Recent

POTENTIAL CROSS SECTION WILL BE UNDERESTIMATED. IN THIS
Recent

EXAMPLE THE SUM OF THE 3 J SEQUENCES 1/2, 3/2, 5/2 IS 2,       Recent

RATHER THAN 3 AS IT SHOULD BE FOR L=1, AND THE CONTRIBUTION    Recent

OF THE L=1 RESONANCES TO THE POTENTIAL SCATTERING CROSS
Recent

SECTION WILL ONLY BE 2/3 OF WHAT IT SHOULD BE, UNLESS THE      Recent

OTHER 2 J SEQUENCES (WITH DUPLICATE J VALUES) ARE INCLUDED     Recent

IN THE CALCULATION.
Recent

Recent

(3) EACH
RESONANCE MUST HAVE AN ASSIGNED, PHYSICALLY POSSIBLE      Recent

J VALUE. PHYSICALLY IMPOSSIBLE OR AVERAGE J VALUES CANNOT BE   Recent

UNIQUELY INTERPRETED USING THE EQUATIONS IN ENDF-102 AND       Recent

THEIR USE WILL USUALLY RESULT IN PHYSICALLY UNRELIABLE CROSS   Recent

SECTIONS. THIS PROGRAM WILL CHECK ALL J VALUES AND IF ANY ARE  Recent

ARE FOUND TO BE PHYSICALLY IMPOSSIBLE (BASED ON TARGET SPIN    Recent

AND L VALUE) AN ERROR MESSAGE WILL BE PRINTED TO INDICATE THAT
Recent

THE RECONSTRUCTED CROSS SECTIONS WILL BE UNRELIABLE AND THE    Recent

PROGRAM WILL CONTINUE. IN AN ATTEMPT TO CALCULATE THE CORRECT  Recent

POTENTIAL SCATTERING CROSS SECTION THIS PROGRAM WILL SUBTRACT  Recent

THE POTENTIAL SCATTERING CONTRIBUTION DUE TO ALL FICTICIOUS J  Recent

SEQUENCES AND ADD THE CONTRIBUTION OF ALL PHYSICALLY POSSIBLE  Recent

J SEQUENCES (AS DESCRIBED ABOVE).                              Recent

Recent

WARNING (LET THE USER BEWARE)
Recent

=============================
Recent

(A) IT CANNOT BE STRESSED ENOUGH THAT CROSS SECTIONS OBTAINED  Recent

USING PHYSICALLY IMPOSSIBLE J VALUES FOR REICH-MOORE AND   Recent

MULTI-LEVEL BREIT-WIGNER RESONANCE PARAMETERS WILL RESULT  Recent

IN UNRELIABLE CROSS SECTIONS. THE DECISION TO HAVE THIS    Recent

PROGRAM CONTINUE TO PROCESS WHEN THIS CONDITION IS FOUND   Recent

IS BASED ON AN ATTEMPT TO ALLOW THE USER TO AT LEAST HAVE  Recent

SOME RESULTS (HOWEVER BAD THEY MAY BE) IF THERE IS NO      Recent

OTHER EVALUATED DATA AVAILABLE.
Recent

(B) EVEN THOUGH THE REICH-MOORE AND MULTI-LEVEL EQUATIONS ARE  Recent

DEFINED
AS ABSOLUTE OR SQUARED CONTRIBUTIONS WHICH MUST    Recent

ALL BE PHYSICALLY POSSIBLE, ATTEMPTING TO CORRECT THE      Recent

POTENTIAL CROSS SECTION (AS DESCRIBED ABOVE) CAN LEAD TO   Recent

NEGATIVE ELASTIC CROSS SECTIONS. THIS IS BECAUSE BASED ON  Recent

THE INFORMATION AVAILABLE IN THE EVALUATION IT IS NOT      Recent

NOT POSSIBLE TO CORRECTLY ACCOUNT FOR THE INTERFERENCE     Recent

BETWEEN THE RESONANCE AND POTENTIAL CONTRIBUTIONS FOR EACH Recent

J SEQUENCE.
Recent

Recent

UNRESOLVED
RESONANCE REGION                                        Recent

---------------------------
Recent

IN THE
UNRESOLVED RESONANCE REGION THE UNRESOLVED PARAMETERS
Recent

ARE USED TO
CALCULATE INFINITELY DILUTE AVERAGE CROSS SECTIONS.    Recent

NOTE, IT IS
IMPORTANT TO UNDERSTAND THAT FROM THE DEFINITION OF    Recent

THE UNRESOLVED
PARAMETERS IT IS NOT POSSIBLE TO UNIQUELY CALCULATE Recent

ENERGY DEPENDENT
CROSS SECTIONS. ONLY AVERAGES OR DISTRIBUTIONS    Recent

MAY BE
CALCULATED.
Recent

Recent

UNRESOLVED
INTERPOLATION
Recent

------------------------
Recent

IN THE
UNRESOLVED RESONANCE REGION CROSS SECTIONS AT EACH ENERGY   Recent

ARE CALCULATED
BY INTERPOLATING PARAMETERS. THIS IS THE CONVENTION Recent

USED IN
ENDF/B-IV AND EARLIER VERSIONS OF ENDF/B. THE ENDF/B-V     Recent

CONVENTION OF
INTERPOLATING CROSS SECTIONS, NOT PARAMETERS, HAS    Recent

BEEN ABANDONED
AS IMPRACTICAL SINCE IT CAN LEAD TO THE SITUATION   Recent

WHERE EXACTLY THE SAME PHYSICAL DATA CAN
LEAD TO DIFFERENT RESULTS Recent

DEPENDING ON
WHICH OF THE THREE ENDF/B UNRESOLVED PARAMTER FORMATS Recent

IS USED. FOR
EXAMPLE, GIVEN A SET OF ENERGY INDEPENDENT UNRESOLVED Recent

PARAMETERS IT IS
POSSIBLE TO CODE THESE PARAMETERS IN EACH OF THE  Recent

THREE ENDF/B
UNRESOLVED PARAMETER FORMATS. SINCE PHYSICALLY WE     Recent

ONLY HAVE ONE
SET OF PARAMETERS WE WOULD EXPECT THE RESULTS TO BE  Recent

INDEPENDENT OF
HOW THEY ARE REPRESENTED IN ENDF/B. UNFORTUNATELY   Recent

USING THE
ENDF/B-V CONVENTION TO INTERPOLATE CROSS SECTIONS CAN    Recent

LEAD TO THREE
COMPLETELY DIFFERENT RESULTS. IN CONTRAST USING THE  Recent

ENDF/B-IV AND
EARLIER CONVENTION OF INTERPOLATING PARAMETERS LEADS Recent

TO COMPLETELY
CONSISTENT RESULTS.
Recent

Recent

INTERNAL
REPRESENTATION OF UNRESOLVED PARAMETERS
Recent

------------------------------------------------
Recent

ANY OF THE THREE
POSSIBLE REPRESENTATIONS OF UNRESOLVED PARAMETERS Recent

CAN BE UNIQUELY
REPRESENTED IN THE ALL PARAMETERS ENERGY DEPENDENT Recent

REPRESENTATIONS
WITH THE APPROPRIATE (ENDF/B VERSION DEPENDENT)    Recent

INTERPOLATION
LAW. THIS IS DONE BY THE PROGRAM WHILE READING THE   Recent

UNRESOLVED
PARAMETERS AND ALL SUBSEQUENT CALCULATIONS NEED ONLY    Recent

CONSIDER THE ALL
PARAMETERS ENERGY DEPENDENT REPRESENTATION.
Recent

Recent

RESONANCE
RECONSTRUCTION STARTING ENERGY GRID
Recent

---------------------------------------------
Recent

AS IN ANY
ITERATIVE METHOD THE WAY TO SPEED CONVERGENCE IS TO TRY  Recent

TO START CLOSE
TO THE ANSWER. THIS PROGRAM ATTEMPTS TO DO THIS BY  Recent

STARTING FROM AN ENERGY GRID
WHICH IS A GOOD APPROXIMATION TO A    Recent

SIMPLE
BREIT-WIGNER LINE SHAPE,
Recent

Recent

SIGMA(X)=1.0/(1.0+X*X)
Recent

Recent

WHERE X IS THE
DISTANCE FROM THE PEAK IN HALF-WIDTHS
Recent

Recent

SUBROUTINE
SUBINT HAS A BUILT-IN TABLE OF NODES WHICH ARE THE      Recent

HALF-WIDTH
MULTIPLES TO APPROXIMATE THE SIMPLE BREIT-LINE SHAPE    Recent

TO WITHIN 1
PER-CENT OVER THE ENTIRE INTERVAL 0 TO 500 HALF-WIDTHS Recent

Recent

BETWEEN ANY TWO
RESOLVED RESONANCES THE STARTING GRID IS BASED ON  Recent

THE HALF-WIDTHS
OF THE TWO RESONANCES. FROM THE LOWER ENERGY
Recent

RESONANCE UP TO
THE MID-POINT BETWEEN THE RESONANCES (MID-POINT    Recent

IS DEFINED HERE
AS AN EQUAL NUMBER OF HALF-WIDTHS FROM EACH
Recent

RESONANCE) THE
HALF-WIDTH OF THE LOWER ENERGY RESONANCE IS USED.   Recent

FROM THE
MID-POINT UP TO THE HIGHER ENERGY RESONANCE THE HALF-     Recent

WIDTH OF THE
UPPER ENERGY RESONANCE IS USED.
Recent

Recent

WITH THIS
ALOGORITHM CLOSELY SPACED RESONANCES WILL HAVE ONLY      Recent

A FEW STARTING
NODES PER RESONANCE (E.G. U-235). WIDELY SPACED     Recent

RESONANCES WILL
HAVE MORE NODES PER RESONANCE (E.G. U-238). FOR    Recent

A MIX OF S, P, D
ETC. RESONANCES THIS ALOGORITHM GUARANTEES AN     Recent

ADEQUTE
DESCRIPTION OF THE PROFILE OF EVEN EXTREMELY NARROW
Recent

RESONANCES
(WHICH MAY IMMEDIATELY CONVERGENCE TO THE ACCURACY      Recent

REQUESTED, THUS
MINIMIZING ITERATION).
Recent

Recent

BACKGROUND CROSS
SECTIONS
Recent

-------------------------
Recent

THE PROGRAM WILL
SEARCH FOR BACKGROUND CROSS SECTIONS FOR TOTAL    Recent

(MT=1), ELASTIC
(MT=2), FISSION (MT=18), FIRST CHANCE FISSION      Recent

(MT=19) AND CAPTURE
(MT=102).
Recent

Recent

(1) THE
BACKGROUND CROSS SECTIONS (FILE 3) CAN BE PRESENT OR NOT   Recent

PRESENT FOR EACH REACTION.
Recent

(2) IF FOR A
GIVEN REACTION THE BACKGROUND CROSS SECTION IS
Recent

PRESENT, IT WILL BE ADDED TO THE RESONANCE CONTRIBUTION AND    Recent

THE RESULT WILL BE OUTPUT.                                     Recent

(3) IF FOR A
GIVEN REACTION THE BACKGROUND IS NOT PRESENT THE      Recent

PROGRAM WILL,
Recent

(A) IF THE INPUT TO THE PROGRAM SPECIFIES NO OUTPUT FOR
Recent

REACTIONS WITH NO BACKGROUND THERE WILL BE NO OUTPUT.      Recent

(B) IF THE INPUT TO THE PROGRAM SPECIFIES OUTPUT FOR REACTIONS
Recent

WITH NO BACKGROUND,
Recent

(I) THE RESONANCE CONTRIBUTION TO TOTAL, ELASTIC OR
Recent

CAPTURE WILL BE OUTPUT.
Recent

(II) IF ALL FISSION RESONANCE PARAMETERS ARE ZERO THE      Recent

FISSION CROSS SECTION (MT=18) WILL NOT BE OUTPUT.     Recent

OTHERWISE THE RESONANCE CONTRIBUTION OF THE FISSION   Recent

(MT=18) WILL BE OUTPUT.
Recent

(III) THERE WILL BE NO OUTPUT FOR FIRST CHANCE FISSION     Recent

(MT=19).
Recent

Recent

COMBINING
RESONANCES AND BACKGROUND CROSS SECTIONS
Recent

--------------------------------------------------
Recent

IN ORDER TO BE
COMBINED WITH THE RESONANCE CONTRIBUTION THE
Recent

BACKGROUND CROSS
SECTIONS MUST BE GIVEN AT 0 KELVIN TEMPERATURE    Recent

AND MUST BE
LINEARLY INTERPOLABLE. IF THESE CONDITIONS ARE MET     Recent

THE RESONANCE
AND BACKGROUND CONTRIBUTIONS WILL BE ADDED TOGETHER  Recent

AND OUTPUT. IF
THESE CONDITIONS ARE NOT MET THE BACKGROUND CROSS   Recent

SECTION WILL BE
IGNORED AND ONLY THE RESONANCE CONTRIBUTION WILL   Recent

BE OUTPUT. IF
THE BACKGROUND HAS NOT BEEN ADDED TO THE RESONANCE   Recent

CONTRIBUTION
AFTER THIS PROGRAM FINISHES THE USER CAN MAKE THE     Recent

RESONANCE AND
BACKGROUND CONTRIBUTIONS COMPATIBLE BY,
Recent

Recent

(1) IF THE
BACKGROUND IS NOT LINEARLY INTERPOABLE, LINEARIZE THE   Recent

BACKGROUND (E.G., USE PROGRAM LINEAR).
Recent

(2) IF THE
BACKGROUND IS NOT GIVEN AT 0 KELVIN, DOPPLER BROADEN    Recent

THE RESONANCE (NOT BACKGROUND) CONTRIBUTION TO THE SAME
Recent

TEMPERATURE AS THE BACKGROUND (E.G., USE PROGRAM SIGMA1).      Recent

Recent

ONCE THE
RESONANCE AND BACKGROUND CONTRIBUTIONS HAVE BEEN MADE     Recent

COMPATIBLE THEY
CAN BE ADDED TOGETHER (E.G., USE PROGRAM MIXER).   Recent

Recent

THE
RECONSTRUCTION OF THE RESONANCE CONTRIBUTION TO THE CROSS      Recent

SECTION CAN BE
QUITE EXPENSIVE (IN TERMS OF COMPUTER TIME). SINCE  Recent

THE
RECONSTRUCTION IS PERFORMED BEFORE THE BACKGROUND CROSS
Recent

SECTIONS ARE
READ, THE ABOVE CONVENTIONS HAVE BEEN ADOPTED IN      Recent

ORDER TO AVOID
LOSE OF COMPUTER TIME INVOLVED IN RECONSTRUCTING    Recent

THE RESONANCE
CONTRIBUTION.
Recent

Recent

COMMON ENERGY
GRID
Recent

------------------
Recent

THIS PROGRAM
WILL RECONSTRUCT THE RESONANCE CONTRIBUTION TO THE    Recent

TOTAL, ELASTIC,
FISSION AND CAPTURE CROSS SECTIONS ALL ON THE      Recent

SAME ENERGY
GRID. EACH REACTION WILL THEN BE COMBINED WITH ITS     Recent

BACKGROUND CROSS
SECTION (IF ANY) AND OUTPUT WITHOUT ANY FURTHER   Recent

THINNING. IF
THERE ARE NO BACKGROUND CROSS SECTIONS, OR IF THE     Recent

BACKGROUND CROSS
SECTION FOR ALL FOUR REACTIONS ARE GIVEN ON A     Recent

COMMON ENERGY
GRID, THE OUTPUT FROM THIS PROGRAM WILL BE ON A      Recent

COMMON ENERGY
GRID FOR ALL FOUR REACTIONS.
Recent

Recent

THERMAL
ENERGY
Recent

--------------
Recent

IF THE RESONANCE
REGION SPANS THERMAL ENERGY (0.0253 EV) THIS      Recent

POINT IS ALWAYS
INCLUDED IN THE COMMON ENERGY GRID USED FOR ALL    Recent

REACTIONS AND
WILL ALWAYS APPEAR IN THE OUTPUT DATA.               Recent

Recent

SECTION
SIZE
Recent

------------
Recent

SINCE THIS
PROGRAM USES A LOGICAL PAGING SYSTEM THERE IS NO LIMIT  Recent

TO THE NUMBER OF
POINTS IN ANY SECTION, E.G., THE TOTAL CROSS      Recent

SECTION MAY BE
REPRESENTED BY 200,000 DATA POINTS.
Recent

Recent

SELECTION OF
DATA
Recent

-----------------
Recent

THE PROGRAM
SELECTS MATERIALS TO BE PROCESSED BASED EITHER ON      Recent

MAT (ENDF/B MAT
NO.) OR ZA. THE PROGRAM ALLOWS UP TO 100 MAT OR    Recent

ZA RANGES TO BE
SPECIFIED. THE PROGRAM WILL ASSUME THAT THE
Recent

ENDF/B TAPE IS
IN EITHER MAT OR ZA ORDER, WHICHEVER CRITERIA IS    Recent

USED TO SELECT
MATERIALS, AND WILL TERMINATE WHEN A MAT OR ZA      Recent

IS FOUND THAT IS
ABOVE THE RANGE OF ALL REQUESTS.
Recent

Recent

ALLOWABLE
ERROR
Recent

---------------
Recent

THE
RECONSTRUCTION OF LINEARLY INTERPOLABLE CROSS SECTIONS FROM    Recent

RESONANCE
PARAMETERS CANNOT BE PERFORMED EXACTLY. HOWEVER IT CAN   Recent

BE PERFORMED TO
VIRTUALLY ANY REQUIRED ACCURACY AND MOST
Recent

IMPORTANTLY CAN
BE PERFORMED TO A TOLERANCE THAT IS SMALL COMPARED Recent

TO THE
UNCERTAINTY IN THE CROSS SECTIONS THEMSELVES. AS SUCH THE   Recent

CONVERSION OF
CROSS SECTIONS TO LINEARLY INTERPOLABLE FORM CAN BE  Recent

PERFORMED WITH
ESSENTIALLY NO LOSS OF INFORMATION.                 Recent

Recent

THE ALLOWABLE
ERROR MAY BE ENERGY INDEPENDENT (CONSTANT) OR ENERGY Recent

DEPENDENT. THE
ALLOWABLE ERROR IS DESCRIBED BY A TABULATED
Recent

FUNCTION OF UP
TO 20 (ENERGY,ERROR) PAIRS AND LINEAR INTERPOLATION Recent

BETWEEN
TABULATED POINTS. IF ONLY ONE TABULATED POINT IS GIVEN THE Recent

ERROR WILL BE
CONSIDERED CONSTANT OVER THE ENTIRE ENERGY RANGE.    Recent

WITH THIS ENERGY
DEPENDENT ERROR ONE MAY OPTIMIZE THE OUTPUT FOR   Recent

ANY GIVEN
APPLICATION BY USING A SMALL ERROR IN THE ENERGY RANGE   Recent

OF INTEREST AND
A LESS STRINGENT ERROR IN OTHER ENERGY RANGES,     Recent

E.G., 0.1
PER-CENT FROM 0 UP TO THE LOW EV RANGE AND A LESS
Recent

STRINGENT
TOLERANCE AT HIGHER ENERGIES.
Recent

Recent

DEFAULT ALLOWABLE
ERROR
Recent

-----------------------
Recent

IN ORDER TO
INSURE CONVERENCE OF THE RESONANCE RECONSTRUCTION THE  Recent

ALLOWABLE ERROR
MUST BE POSITIVE. IF THE USER INPUTS AN ERROR FOR  Recent

RESONANCE
RECONSTRUCTION THAT IS NOT POSITIVE IT WILL BE SET TO    Recent

THE DEFAULT
VALUE (CURRENTLY 0.1 PER-CENT) AND INDICATED AS SUCH   Recent

IN THE OUTPUT
LISTING.
Recent

Recent

INTERVAL HALVING
ALGORITHM
Recent

-------------------------
Recent

THIS PROGRAM
WILL START BY CALCULATING THE CROSS SECTIONS AT THE   Recent

ENERGIES
CORRESPONDING TO THE PEAK OF EACH RESONANCE, AS WELL AS   Recent

A FIXED NUMBER
OF HALF-WIDTHS ON EACH SIDE OF EACH RESONANCE.      Recent

STARTING FROM
THIS BASIC GRID OF POINTS THE PROGRAM WILL CONTINUE  Recent

TO HALF EACH
INTERVAL UNTIL THE CROSS SECTIONS FOR ALL REACTIONS   Recent

AT THE CENTER OF
THE INTERVAL CAN BE DEFINED BY LINEAR
Recent

INTERPOLATION
FROM THE ENDS OF THE INTERVAL TO WITHIN THE USER     Recent

SPECIFIED
ACCURACY CRITERIA.
Recent

Recent

DISTANT
RESONANCE TREATMENT
Recent

---------------------------
Recent

THE OPTION TO
TREAT DISTANT RESONANCES, WHICH WAS AVAILABLE IN     Recent

EARLIER VERSIONS
OF THIS PROGRAM, IS NO LONGER AVAILABLE, BECAUSE  Recent

IT WAS FOUND TO
PRODUCE UNRELIABLE RESULTS. IN THIS VERSION OF     Recent

THE PROGRAM ALL
RESONANCES ARE TREATED EXACTLY.
Recent

Recent

PROGRAM
OPERATION
Recent

==================================================================
Recent

EDIT MODE
Recent

---------
Recent

IT IS SUGGESTED
THAT BEFORE RUNNING THIS PROGRAM TO RECONSTRUCT    Recent

CROSS SECTIONS
FROM RESONANCE PARAMETERS (WHICH CAN BE QUITE
Recent

EXPENSIVE) THE
USER FIRST RUN THE PROGRAM IN THE EDIT MODE (SEE,   Recent

DESCRIPTION OF
INPUT PARAMETERS BELOW). IN THE EDIT MODE THE
Recent

PROGRAM WILL
READ, LIST AND EXTENSIVELY CHECK THE CONSISTENCY OF   Recent

ALL RESONANCE
PARAMETERS AND ENDF/B DEFINED RESONANCE FLAGS. THIS  Recent

IS A VERY
INEXPENSIVE MEANS OF CHECKING ALL DATA BEFORE INVESTING  Recent

A LARGE AMOUNT
OF MONEY IN RECONSTRUCTING CROSS SECTIONS. ANY AND  Recent

ALL DIGNOSTICS
RECEIVED FROM THE EDIT WILL SUGGEST HOW TO CORRECT  Recent

THE EVALUATED
DATA TO MAKE IT CONSISTENT BEFORE RECONSTRUCTING     Recent

CROSS SECTIONS.
IN ORDER TO OBTAIN MEANINGFUL RESULTS FROM THE     Recent

RECONSTRUCTION
ALL SUGGESTED CHANGES TO THE EVALUATION SHOULD BE   Recent

PERFORMED BEFORE
TRYING RECONSTRUCTION (OTHERWISE THE RESULT OF    Recent

RECONSTRUCTION
WILL NOT BE RELIABLE).
Recent

Recent

RECONSTRUCTION
MODE
Recent

-------------------
Recent

FOR EACH
REQUESTED MATERIAL
Recent

---------------------------
Recent

IF SECTION MF=1,
MT=451 IS PRESENT COMMENTS WILL BE ADD TO
Recent

DOCUMENT THAT
THE MATERIAL HAS BEEN PROCESSED. MF=1, MT=451 WILL   Recent

ALSO BE USED TO
DETERMINE THE VERSION OF THE ENDF/B FORMAT WHICH   Recent

WILL ALLOW THE
PROGRAM TO USE THE APPROPRIATE CONVENTIONS.
Recent

Recent

ALL OF THE FILE
2 RESONANCE PARAMETERS ARE FIRST READ AND THE      Recent

LINEARLY
INTERPOLABLE CONTRIBUTION OF THE RESONANCE PARAMETERS     Recent

TO THE TOTAL,
ELASTIC, CAPTURE AND FISSION CROSS SECTIONS IS
Recent

CALCULATED
SIMULTANEOUSLY USING A COMMON ENERGY GRID FOR ALL
Recent

FOUR
REACTIONS.
Recent

Recent

AFTER THE
RESONANCE CONTRIBUTION HAS BEEN RECONSTRUCTED EACH OF    Recent

THE FIVE
REACTIONS (MT=1, 2, 18, 19, 102) IS CONSIDERED SEPARATELY Recent

FOR COMBINATION
WILL THE BACKGROUND CROSS SECTION, IF ANY, AS      Recent

DESCRIBED
ABOVE.
Recent

Recent

OUTPUT WILL
INCLUDE THE ENTIRE EVALUATION, INCLUDING RESONANCES    Recent

PARAMETERS WITH
LRU MODIFIED (AS DESCRIBED ABOVE) TO INDICATE      Recent

THAT THE
RESONANCE CONTRIBUTION HAS ALREADY BEEN ADDED TO THE      Recent

FILE 3 CROSS
SECTIONS.
Recent

Recent

THE CYCLE OF
RECONSTRUCTING THE RESONANCE CONTRIBUTION AND ADDING  Recent

THE BACKGROUND
WILL BE REPEATED FOR EACH MATERIAL REQUESTED.
Recent

Recent

PROCESS ONLY A
PORTION OF RESONANCE REGION
Recent

==================================================================
Recent

MODERN EVALUATIONS
MAY BE EXTREMELY LARGE AND IT MAY NOT BE
Recent

POSSIBLE TO
PROCESS AN ENTIRE EVALUATION (I.E., ADD THE RESONANCE  Recent

CONTRIBUTION)
DURING A SINGLE COMPUTER RUN.
Recent

Recent

ALSO IN THE CASE
WHERE YOU ARE ONLY INTERESTED IN THE CROSS
Recent

SECTIONS OVER A
SMALL ENERGY RANGE, YOU MAY NOT WANT TO PROCESS    Recent

AN ENTIRE
EVALUATION, E.G., IF YOU ONLY WANT TO KNOW WHAT THE      Recent

CROSS SECTIONS
ARE NEAR THERMAL ENERGY, 0.0253 EV.
Recent

Recent

IN ORDER TO
ALLOW AN EVALUATION TO BE PROCESSED USING A NUMBER OF  Recent

SHORTER COMPUTER
RUNS AN OPTION HAS BEEN ADDED TO THIS PROGRAM TO  Recent

ALLOW THE USER
TO SPECIFY THE ENERGY RANGE TO BE PROCESSED.
Recent

Recent

USING THIS
OPTION YOU MAY START AT THE LOWEST ENERGY (ZERO UP TO   Recent

SOME ENERGY) AND
USE THE RESULTS OF THIS RUN AS INPUT TO THE
Recent

NEXT RUN, WHERE
YOU CAN SPECIFY THE NEXT ENERGY RANGE. THIS        Recent

CYCLE CAN BE
REPEATED UNTIL YOU HAVE PROCESSED THE ENTIRE
Recent

EVALUATION.
Recent

Recent

WARNING - THIS
OPTION SHOULD BE USED WITH EXTREME CARE - THIS      Recent

OPTION HAS BEEN
RELUCTANTLY ADDED - RELUCTANTLY BECAUSE IT CAN     Recent

BE EXTREMELY
DANGEROUS TO USE THIS OPTION UNLESS YOU CAREFULLY     Recent

CHECKED WHAT YOU ARE DOING.
Recent

Recent

THE OPTION
SHOULD ONLY BE USED AS FOLLOWS,
Recent

1) YOU MUST
PROCESS USING ENERGY RANGES STARTING AT LOW ENERGY     Recent

AND WORKING YOUR WAY TOWARD HIGH ENERGY, E.G.,
Recent

0.0   TO  3.0+3
Recent

3.0+3 TO 10.0+3
Recent

10.0+3 TO 80.0+3, ETC.
Recent

2) FOR THE LAST
ENERGY RANGE THE LOWER ENERGY LIMIT MUST BE
Recent

NON-ZERO (WHERE TO START) AND THE UPPER ENERGY LIMIT MUST
Recent

BE ZERO (NO LIMIT)
Recent

80.0+3 TO  0.0
Recent

Recent

IF YOU ARE ONLY
INTERESTED IN THE CROSS SECTION OVER A NARROW      Recent

ENERGY INTERVAL
AND DO NOT INTENT TO MAKE ANY OTHER USE OF THE     Recent

RESULTS, YOU CAN
IGNORE THESE WARNINGS AND MERELY SPECIFY ANY      Recent

ENERGY INTERVAL
OVER WHICH YOU WISH CALCULATIONS TO BE
Recent

PERFORMED.
Recent

Recent

NORMALLY WHEN
THIS PROGRAM PROCESSES AN EVALUATION IT WILL SET     Recent

FLAGS IN THE
EVALUATION TO PREVENT THE SAME RESONANCE
Recent

CONTRIBUTION
FROM BEING ADDED TO THE CROSS SECTION MORE THAN       Recent

ONCE, SHOULD YOU
USE THE OUTPUT FROM THIS PROGRAM AS INPUT TO      Recent

THE
PROGRAM.
Recent

Recent

WHEN PROCESSING ONLY
PORTIONS OF THE RESONANCE REGION THIS
Recent

PROGRAM CANNOT
SET THESE FLAGS TO PROTECT AGAINST ADDING THE
Recent

RESONANCE
CONTRIBUTION MORE THAN ONCE - WHICH MAKES USE OF
Recent

THIS OPTION
EXTREMELY DANGEROUS.
Recent

Recent

ONLY YOU CAN
CHECK TO MAKE SURE THAT YOU HAVE CORRECTLY
Recent

INCLUDED EACH ENERGY
RANGE ONLY ONCE - SEE THE COMMENT LINES
Recent

AT THE END OF
SECTION, MF=1, MT=451, FOR A COMPLETE RECORD
Recent

OF EACH RUN
USING THIS PROGRAM. THIS SECTION WILL CONTAIN
Recent

LINES OF THE
FORM
Recent

Recent

***************** PROGRAM RECENT (VERSION 2007-1) *************    Recent

ONLY
PROCESS  0.00000+ 0 TO  3.00000+ 3 EV
Recent

***************** PROGRAM RECENT (VERSION 2007-1) *************    Recent

ONLY
PROCESS  3.00000+ 3 TO  1.00000+ 4 EV
Recent

***************** PROGRAM RECENT (VERSION 2007-1) *************    Recent

ONLY
PROCESS  1.00000+ 4 TO  8.00000+ 4 EV
Recent

***************** PROGRAM RECENT (VERSION 2007-1) *************    Recent

ONLY
PROCESS  8.00000+ 4 TO  2.00000+ 7 EV
Recent

Recent

YOU SHOULD CHECK
TO INSURE THAT THERE ARE NO OVERLAPPING ENERGY    Recent

RANGES OR
MISSING ENERGY RANGES.
Recent

Recent

WHEN YOU
INDICATE BY INPUT THAT YOU ARE ABOUT TO PROCESS THE
Recent

LAST ENERGY
RANGE (SEE ABOVE, LOWER ENERGY LIMIT = NON-ZERO,
Recent

UPPER ENERGY
LIMIT = ZERO), THIS PROGRAM WILL ASSUME THAT
Recent

YOU HAVE NOW
COMPLETED ALL PROCESSING - AND ONLY THEN WILL
Recent

IT SET FLAGS IN
THE EVALUATION TO PREVENT THE RESONANCE
Recent

CONTRIBUTION
FROM BEING ADDED MORE THAN ONCE. FOR THIS REASON      Recent

YOU CANNOT
PROCESS STARTING WITH ENERGY INTERVALS AT HIGH
Recent

ENERGY AND
WORKING TOWARD LOW ENERGY - YOU MUST START AT LOW
Recent

ENERGY AND WORK
TOWARD HIGH ENERGY.
Recent

Recent

I/O FILES
Recent

==================================================================
Recent

INPUT FILES
Recent

-----------
Recent

UNIT  DESCRIPTION
Recent

----  -----------
Recent

2   INPUT LINE (BCD - 80
CHARACTERS/RECORD)
Recent

10   ORIGINAL ENDF/B DATA (BCD - 80
CHARACTERS/RECORD)
Recent

Recent

OUTPUT
FILES
Recent

------------
Recent

UNIT  DESCRIPTION
Recent

----  -----------
Recent

3   OUTPUT REPORT (BCD -
120 CHARACTERS/RECORD)
Recent

11   FINAL ENDF/B DATA (BCD - 80
CHARACTERS/RECORD)
Recent

Recent

SCRATCH
FILES
Recent

-------------
Recent

UNIT  DESCRIPTION
Recent

----  -----------
Recent

12   SCRATCH FILE FOR DATA
RECONSTRUCTED FROM RESONANCE
Recent

PARAMETERS (BINARY - 100200 WORDS/RECORD)
Recent

14   SCRATCH FILE FOR COMBINED FILE 2
AND 3 DATA
Recent

(BINARY - 40080 WORDS/RECORD)
Recent

Recent

OPTIONAL
STANDARD FILE NAMES (SEE SUBROUTINE FILEIO)
Recent

==================================================================
Recent

UNIT  FILE NAME
Recent

----  ----------
Recent

2   RECENT.INP
Recent

3   RECENT.LST
Recent

10   ENDFB.IN
Recent

11   ENDFB.OUT
Recent

12   (SCRATCH)
Recent

14   (SCRATCH)
Recent

Recent

INPUT CARDS
Recent

==================================================================
Recent

LINE  COLS.  FORMAT  DESCRIPTION
Recent

----  -----  ------  -----------
Recent

1    1-11    I11   RETRIEVAL CRITERIA (0=MAT,
1=ZA)
Recent

THIS OPTION DEFINED WHETHER COLUMNS 1-22 OF   Recent

SUBSEQUENT INPUT CARDS SHOULD BE INTERPRETED  Recent

TO BE MAT OR ZA RANGES.
Recent

12-22   E11.4  FILE 2 MINIMUM ABSOLUTE CROSS SECTION
Recent

(IF
1.0E-10 OR LESS IS INPUT THE PROGRAM
Recent

WILL USE 1.0E-10)
Recent

23-33    I11   TREATMENT OF REACTIONS FOR WHICH BACKGROUND   Recent

CROSS
SECTION IS NOT GIVEN.
Recent

= 0 - IGNOR (I.E. NO OUTPUT)
Recent

= 1 - OUTPUT RESONANCE CONTRIBUTION.
Recent

THIS OPTION IS USEFUL
WITH PARTIAL EVALUATION Recent

(E.G. ENDF/B-V DOSIMETRY LIBRARY) WHERE ONLY  Recent

ONE OR MORE OF THE REACTIONS ARE OF ACTUAL    Recent

INTEREST.
Recent

WARNING...THE USE OF THIS FIELD HAS BEEN      Recent

CHANGED. THIS FIELD WAS PREVIOUSLY USED TO    Recent

DEFINE THE PRECISION OF THE CALCULATION AND   Recent

OUTPUT. THE FORMER DEFINITION OF THIS FIELD   Recent

WAS...
Recent

MINIMUM ENERGY SPACING FLAG                   Recent

= 0 - 6 DIGIT MINIMUM ENERGY SPACING.
Recent

STANDARD 6 DIGIT E11.4 OUTPUT.
Recent

= 1 - 9 DIGIT MINIMUM ENERGY SPACING.         Recent

STANDARD 6 DIGIT E11.4 OUTPUT.
Recent

= 2 - 9 DIGIT MINIMUM ENERGY SPACING.
Recent

VARIABLE 9 DIGIT F FORMAT OUTPUT.       Recent

FROM EXPERIENCE IT HAS BEEN FOUND THAT
Recent

FAILURE TO SET THIS OPTION TO 2 CAN RESULT    Recent

IN LARGE ERRORS IN THE FINAL DATA. THEREFORE  Recent

INTERNALLY
THIS OPTION IS SET TO 2.
Recent

34-44    I11   OPERATING MODE
Recent

= 0 - CACULATE. MINIMUM OUTPUT LISTING
Recent

=
1 - CACULATE. LIST ALL RESONANCE PARAMETERS Recent

= 2 - EDIT MODE. NO CALCULATION. LIST ALL     Recent

RESONANCE PARAMETERS.
Recent

NOTE, THE
EDIT MODE (=2) IS THE SUGGESTED     Recent

MODE TO FIRST TEST THE CONSISTENCY OF THE     Recent

EVALUATED DATA, BEFORE RECONSTRUCTING CROSS   Recent

SECTIONS (SEE, COMMENTS ABOVE).
Recent

45-55    I11   NEGATIVE CROSS SECTIOIN TREATMENT
Recent

= 0 - O.K. - NO CHANGE
Recent

= 1 - SET = 0                                 Recent

56-66    I11   MONITOR MODE SELECTOR
Recent

= 0 - NORMAL OPERATION
Recent

= 1 - MONITOR PROGRESS OF RECONSTRUCTION OF   Recent

FILE 2 DATA AND COMBINING FILE 2 AND    Recent

FILE 3 DATA. EACH TIME A PAGE OF DATA   Recent

POINTS IS WRITTEN TO A SCRATCH FILE     Recent

PRINT OUT THE TOTAL NUMBER OF POINTS    Recent

ON SCRATCH AND THE LOWER AND UPPER      Recent

ENERGY LIMITS OF THE PAGE (THIS OPTION  Recent

MAY BE USED IN ORDER TO MONITOR THE     Recent

EXECUTION SPEED OF LONG RUNNING JOBS).  Recent

2    1-60    A60   ENDF/B INPUT DATA FILENAME
Recent

(STANDARD OPTION = ENDFB.IN)
Recent

3    1-60    A60   ENDF/B OUTPUT DATA FILENAME
Recent

(STANDARD OPTION = ENDFB.OUT)
Recent

4-N    1-11    I11   MINIMUM MAT OR ZA (SEE COLS. 1-11,
LINE 1)    Recent

12-22    I11   MAXIMUM MAT OR ZA (SEE COLS. 1-11,
LINE 1)    Recent

UP TO 100 MAT OR ZA RANGES MAY BE SPECIFIED,  Recent

ONE RANGE
PER LINE. THE LIST IS TERMINATED    Recent

BY A BLANK LINE. IF THE THE UPPER LIMIT OF    Recent

ANY REQUEST IS LESS THAN THE LOWER LIMIT THE  Recent

UPPER LIMIT WILL BE SET EQUAL TO THE LOWER    Recent

LIMIT. IF THE FIRST REQUEST LINE IS BLANK IT  Recent

WILL TERMINATE THE REQUEST LIST AND CAUSE ALL Recent

DATA TO BE RETRIEVED (SEE EXAMPLE INPUT).     Recent

23-33   E11.4  LOWER ENERGY LIMIT FOR PROCESSING.
Recent

34-44   E11.4  UPPER ENERGY LIMIT FOR PROCESSING.
Recent

*THE LOWER AND UPPER ENERGY LIMITS MUST BE     Recent

ZERO, OR BLANK, UNLESS YOU WISH TO ONLY
Recent

PROCESS A PORTION OF RESONANCE REGIONS.
Recent

*THESE ENERGY LIMITS ARE ONLY READ FROM THE    Recent

FIRST MAT/ZA REQUEST LINE
Recent

*IF BOTH ARE ZERO (OR BLANK) THE ENTIRE
Recent

RESONANCE REGION FOR EACH MATERIAL WILL BE    Recent

PROCESSED
Recent

*IF LIMITS ARE INPUT ONLY THAT PORTION OF THE  Recent

RESONANCE REGION FOR EACH MATERIAL WHICH      Recent

LIES BETWEEN THESE LIMITS WILL BE PROCESSED   Recent

*SEE INSTRUCTIONS ABOVE BEFORE USING THIS      Recent

OPTION.
Recent

VARY   1-11   E11.4  ENERGY FOR FILE 2 ERROR LAW     (  SEE   )    Recent

12-22   E11.4  ERROR FOR FILE 2 ERROR LAW      (COMMENTS)    Recent

( BELOW  )    Recent

Recent

NOTE, THIS
VERSION OF THE PROGRAM DOES NOT THIN THE COMBINED FILE  Recent

FILE 2 + 3 DATA.
AS SUCH THE ERROR LAW FOR COMBINING FILE 2 + 3    Recent

WHICH WAS
REQUIRED IN EARLIER VERSIONS OF THIS CODE ARE NO LONGER  Recent

REQUIRED.
Recent

Recent

THE FILE 2 ERROR
LAW MAY BE ENERGY INDEPENDENT (DEFINED BY A
Recent

SINGLE ERROR) OR
ENERGY DEPENDENT (DEFINED BY UP TO 20 ENERGY,     Recent

ERROR PAIRS).
FOR THE ENERGY DEPENDENT CASE LINEAR INTERPOLATION   Recent

WILL BE USED TO
DEFINE THE ERROR AT ENERGIES BETWEEN THOSE AT      Recent

WHICH THE ERROR
IS TABULATED. THE ERROR LAW IS TERMINATED BY A     Recent

BLANK LINE. IF
ONLY ONE ENERGY, ERROR PAIR IS GIVEN THE LAW WILL   Recent

BE CONSIDERED TO
BE ENERGY INDEPENDENT. IF MORE THAN ONE PAIR      Recent

IS GIVEN IT BE
CONSIDERED TO BE ENERGY DEPENDENT (NOTE, THAT
Recent

FOR A CONSTANT
ERROR THE ENERGY INDEPENDENT FORM WILL RUN FASTER.  Recent

HOWEVER, FOR
SPECIFIC APPLICATIONS AN ENERGY DEPENDENT ERROR MAY   Recent

BY USED TO MAKE
THE PROGRAM RUN CONSIDERABLE FASTER).
Recent

Recent

ALL ENERGIES
MUST BE IN ASCENDING ENERGY ORDER. FOR CONVERGENCE    Recent

OF THE FILE 2
RECONSTRUCTION ALGORITHM ALL THE ERRORS MUST BE      Recent

POSITIVE. IF
ERROR IS NOT POSITIVE IT WILL BE SET EQUAL TO THE     Recent

STANDARD OPTION
(CURRENTLY 0.001, CORRRESPONDING TO 0.1 PER-CENT). Recent

IF THE FIRST
LINE OF THE ERROR LAW IS BLANK IT WILL TERMINATE THE  Recent

ERROR LAW AND
THE ERROR WILL BE TREATED AS ENERGY INDEPENDENT,     Recent

EQUAL TO THE
STANDARD OPTION (CURRENTLY, 0.1 PER-CENT). SEE,
Recent

EXAMPLE INPUT
4.
Recent

Recent

EXAMPLE INPUT
NO. 1
Recent

-------------------                                                Recent

CONSIDER ALL
URANIUM ISOTOPES AND TH-232. CONSIDER CROSS SECTIONS  Recent

WHICH ARE LARGER
THAN 1.0E-8 BARNS IN ABSOLUTE VALUE. ONLY OUTPUT  Recent

REACTIONS FOR
WHICH A BACKGROUND IS GIVEN. LIST ALL PARAMETERS AND Recent

CALCULATE CROSS
SECTIONS. MONITOR THE EXECUTION PROGRESS OF THE    Recent

PROGRAM. BETWEEN
0 AND 100 EV USE 0.1 PER-CENT ACCURACY. BETWEEN   Recent

100 EV AND 1 KEV
VARY THE ACCURACY FROM 0.1 TO 1 PER-CENT. ABOVE   Recent

1 KEV USE 1
PER-CENT ACCURACY.
Recent

Recent

EXPLICITLY
SPECIFY THE STANDARD FILENAMES.
Recent

Recent

THE FOLLOWING 11
INPUT CARDS ARE REQUIRED.
Recent

Recent

1 1.00000-08
0
1
0
1
Recent

ENDFB.IN
Recent

ENDFB.OUT
Recent

92000      92999
Recent

90232
(UPPER LIMIT AUTOMATICALLY SET TO 90232)   Recent

(END REQUEST LIST)
Recent

0.00000+ 0 1.00000-03
Recent

1.00000+02 1.00000-03
Recent

1.00000+03 1.00000-02
Recent

1.00000+09 1.00000-02
Recent

(END FILE 2 ERROR LAW)
Recent

Recent

EXAMPLE INPUT
NO. 2
Recent

-------------------
Recent

CONSIDER ALL
URANIUM ISOTOPES AND TH-232. CONSIDER CROSS SECTIONS  Recent

WHICH ARE LARGER
THAN 1.0E-8 BARNS IN ABSOLUTE VALUE. ONLY OUTPUT  Recent

REACTIONS FOR
WHICH A BACKGROUND IS GIVEN. CROSS SECTIONS WILL BE  Recent

CALCULATED, BUT
PARAMETERS WILL NOT BE LISTED. THE PROGRESS OF THE Recent

PROGRAM WILL NOT
BE MONITORED. USE 0.1 PER-CENT ACCURACY FOR ALL   Recent

ENERGIES. SINCE
0.1 PER-CENT IS THE STANDARD OPTION FOR THE ERROR  Recent

LAW THE FIRST
ERROR LAW LINE MAY BE LEFT BLANK.
Recent

Recent

LEAVE THE
DEFINITION OF THE FILENAMES BLANK - THE PROGRAM WILL     Recent

THEN USE THE
STANDARD FILENAMES.
Recent

Recent

THE FOLLOWING 7
INPUT CARDS ARE REQUIRED.
Recent

Recent

1 1.00000-08
0
0
0
0
Recent

Recent

Recent

92000      92999
Recent

90232
(UPPER LIMIT AUTOMATICALLY SET TO 90232)   Recent

(END REQUEST LIST)
Recent

(USE STANDARD OPTION FOR ERROR LAW)
Recent

Recent

EXAMPLE INPUT
NO. 3
Recent

-------------------
Recent

THE SAME AS
EXAMPLE INPUT NO. 2, ONLY IN THIS CASE ONLY CALCULATE  Recent

CROSS SECTIONS
OVER THE ENERGY RANGE 0.01 TO 0.1 EV - ACROSS THE   Recent

THERMAL ENERGY
RANGE. NOTE, THE ONLY DIFFERENCE BETWEEN THE INPUT  Recent

PARAMETERS IN
THIS CASE AND IN EXAMPLE NO. 2, IS THAT ON THE
Recent

SECOND INPUT
LINE WE HAVE ADDED THE ENERGY RANGE 0.01 TO 0.1 EV.   Recent

USE
\PREPRO94\LINEAR\ENDFB.OUT AS INPUT AND ENDFB.OUT AS OUTPUT -  Recent

SINCE ENDFB.OUT
IS THE STANDARD OUTPUT FILENAME THE NAME CAN BE    Recent

EITHER INCLUDED
IN THE INPUT OR LEFT BLANK.
Recent

Recent

THE FOLLOWING 7
INPUT CARDS ARE REQUIRED.                          Recent

Recent

1 1.00000-08
0
0
0
0
Recent

\PREPRO94\LINEAR\ENDFB.OUT
Recent

ENDFB.OUT
Recent

92000      92999 1.00000- 2
1.00000- 1
Recent

90232
(UPPER LIMIT AUTOMATICALLY SET TO 90232)   Recent

(END REQUEST LIST)
Recent

(USE STANDARD OPTION FOR ERROR LAW)
Recent

Recent

EXAMPLE INPUT NO.
4
Recent

-------------------
Recent

RECONSTRUCT ALL
DATA. OUTPUT ALL REACTIONS, REGARDING OF WHETHER   Recent

OR NOT THERE IS
A BACKGROUND CROSS SECTION. DO NOT MONITOR THE     Recent

PROGRESS OF THE
PROGRAM. RECONSTRUCT CROSS SECTIONS TO 1 PER-CENT  Recent

ACCURACY. USE
\ENDFB6\LINEAR\ZA092238 AS INPUT AND
Recent

\ENDFB6\RECENT\ZA092238
AS OUTPUT.
Recent

Recent

THE FOLLOWING 6
INPUT CARDS ARE REQUIRED.
Recent

Recent

0 0.0
1
0
0
0
Recent

\ENDFB6\ZA092238
Recent

\ENDFB6\RECENT\ZA092238
Recent

(RETRIEVE ALL DATA, END REQUEST LIST)
Recent

1.00000- 2
Recent

(END FILE 2 ERROR LAW)                           Recent

Recent

EXAMPLE INPUT
NO. 5
Recent

-------------------
Recent

RECONSTRUCT ALL
DATA. ONLY OUTPUT REACTIONS FOR WHICH A BACKGROUND Recent

CROSS SECTION IS
GIVEN. DO NOT MONITOR THE PROGRESS OF THE PROGRAM Recent

RECONSTRUCT
CROSS SECTIONS TO 0.1 PER-CENT ACCURACY. USE ENDFB.IN  Recent

AS INPUT AND
ENDFB.OUT AS OUTPUT.
Recent

Recent

THIS CORRESPONDS
TO USING ALL OF THE STANDARD OPTONS BUILT-IN TO   Recent

THE PROGRAM AND
ALL INPUT CARDS MAY BE BLANK.
Recent

Recent

IN THIS CASE THE
FOLLOWING 5 INPUT CARDS ARE REQUIRED.
Recent

(ZEROES ARE
INDICATED ON THE FIRST LINE, BELOW, ONLY TO INDICATE   Recent

WHERE THE LINE
IS. THE ACTUAL INPUT LINE CAN BE COMPLETELY BLANK). Recent

Recent

0 0.0                 0
0
0
0
Recent

(USE STANDARD INPUT FILENAME = ENDFB.IN)
Recent

(USE STANDARD OUTPUT FILENAME = ENDFB.OUT)
Recent

(RETRIEVE ALL DATA, END REQUEST LIST)
Recent

(0.1 ERROR, END FILE 2 ERROR LAW)
Recent

Recent

=======================================================================
Recent