=======================================================================
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
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 CULLEN1@LLNL.GOV Recent
WEBSITE HTTP://WWW.LLNL.GOV/CULLEN1 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
REPORT UCRL-50400,
VOL. 17, PART C (1979)
Recent
LAWRENCE
LIVERMORE LABORATORY 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 2002-1) *************** 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 DICTION 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 MAXINT Recent
IN SUBROUTINE RDAP
(MAXINT = 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
MAXTAB IN SUBROUTINE
RDAP (MAXTAB = 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 2002-1) ************* Recent
ONLY PROCESS 0.00000+ 0 TO 3.00000+ 3 EV Recent
*****************
PROGRAM RECENT (VERSION 2002-1) ************* Recent
ONLY PROCESS 3.00000+ 3 TO 1.00000+ 4 EV Recent
*****************
PROGRAM RECENT (VERSION 2002-1) ************* Recent
ONLY PROCESS 1.00000+ 4 TO 8.00000+ 4 EV Recent
*****************
PROGRAM RECENT (VERSION 2002-1) ************* 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
THIS OPTION IS NO LONGER USED. THE PREVIOUS Recent
DEFINITION OF THIS OPTION WAS---DISTANT Recent
RESONANCE TREATMENT. Recent
= 0 - EXACT Recent
= 1 - LINEAR RATIO OVER SUBINTERVAL Recent
= 2 - LINEAR RATIO OVER INTERVAL Recent
ALL RESONANCES ARE TREATED EXACTLY IN THIS Recent
VERSION OF THE CODE. 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