=======================================================================
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
*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
Recent
OWNED,
MAINTAINED AND DISTRIBUTED BY Recent
------------------------------------ Recent
THE NUCLEAR
DATA SECTION
Recent
INTERNATIONAL ATOMIC ENERGY AGENCY Recent
P.O.
A-1400,
Recent
ORIGINALLY
WRITTEN BY
Recent
------------------------------------ Recent
DERMOTT E.
CULLEN
Recent
L-159
Recent
P.O.
TELEPHONE 925-423-7359
Recent
E.
MAIL CULLEN1@LLNL.GOV 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
==================================================================
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
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
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 2004-1) *************** 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
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 +
=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
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
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
WITH THIS
ENERGY DEPENDENT ERROR ONE MAY OPTIMIZE THE OUTPUT FOR Recent
ANY GIVEN
APPLICATION BY USING A SMALL ERROR IN THE
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
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
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
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
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
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
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 2004-1) ************* Recent
ONLY
PROCESS 0.00000+ 0 TO 3.00000+ 3 EV Recent
*****************
PROGRAM RECENT (VERSION 2004-1) *************
Recent
ONLY
PROCESS 3.00000+ 3 TO 1.00000+ 4 EV Recent
***************** PROGRAM RECENT (VERSION 2004-1) ************* Recent
ONLY
PROCESS 1.00000+ 4 TO 8.00000+ 4 EV Recent
***************** PROGRAM RECENT (VERSION 2004-1) ************* 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
Recent
WHEN YOU
INDICATE BY INPUT THAT YOU ARE ABOUT TO PROCESS THE 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 -
= 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
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