MIME-Version: 1.0 Content-Location: file:///C:/ECC54051/Sigma1.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D Sigma1

 =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      PROGRAM SIGMA1        =             &nb= sp;            =             &nb= sp;       Sigma1 

      =3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D        =             &nb= sp;            =             &nb= sp;       Sigma1 

      VERSION 73= -1 (MARCH 1973)        =             &nb= sp;            =          Sigma1 

      VERSION 76= -1 (FEBRUARY 1976)        =             &nb= sp;            =       Sigma1 

      VERSION 76= -2 (OCTOBER 1976)        =             &nb= sp;            =        Sigma1 

      VERSION 77= -1 (JANUARY 1977)        =             &nb= sp;            =        Sigma1 

      VERSION 78= -1 (JULY 1978)        =             &nb= sp;            =           Sigma1 

      VERSION 79= -1 (JULY 1979)    CDC-7= 600 AND CRAY-1 VERSION.        =    Sigma1 

      VERSION 80= -1 (MAY 1980)     = IBM, CDC AND CRAY VERSION        =       Sigma1 

      VERSION 80= -2 (DECEMBER 1980)IMPROVED BASED ON USER COMMENTS.       Sigma1 

      VERSION 81= -1 (MARCH 1981)   DOUBLE PRE= CISION IBM VERSION        =    Sigma1 

      VERSION 81= -2 (AUGUST 1981)  IMPROVED IBM SP= EED AND STABILITY       Sigm= a1 

      VERSION 82= -1 (JANUARY 1982) IMPROVED COMPUTER COMPATIBILITY        Sigma1 

      VERSION 83= -1 (JANUARY 1983)*MAJOR RE-DESIGN.        =             &nb= sp;  Sigma1 

        =             &nb= sp;            *PAGE SIZE INCREASED - 1002 TO 2004.    Sigma1 

        =             &nb= sp;            *ELIMINATED COMPUTER DEPENDENT CODING.  Sigma1 

        =             &nb= sp;            *NEW, MORE COMPATIBLE I/O UNIT NUMBER.  Sigma1 

        =             &nb= sp;            *ADDED STANDARD ALLOWABLE ERROR OPTION  Sigma1 

        =             &nb= sp;             (CURRENTLY 0.1 PER-CENT).        =       Sigma1 

        =             &nb= sp;            *UNRESOLVED RESONANCE REGION COPIED.    Sigma1 

        =             &nb= sp;            *1/V EXTENSION OF CROSS SECTIONS        Sigma1 

        =             &nb= sp;             OUTSIDE OF TABULATED ENERGY RANGE AND  Sigma1 

        =             &nb= sp;             INTO UNRESOLVED EN= ERGY RANGE.        =   Sigma1  

      VERSION 83= -2 (OCTOBER 1983)*IMPROVED BASED ON USER COMMENTS.       Sigma1 

      VERSION 84= -1 (APRIL 1984)  *IMPROVED NUMERI= CAL STABILITY.        =   Sigma1 

        =             &nb= sp;            *PARTIAL EVALUATION TREATMENT.        =   Sigma1 

      VERSION 85= -1 (APRIL 1985)  *ITERATE TO CONVERGENCE (USING THE SAME Sigma1  <= /span>

        =             &nb= sp;             ENERGY GRID FOR HOT CROSS SECTION AS   Sigma1 

        =             &nb= sp;             COLD CROSS SECTIONS WAS FOUND TO BE    Sigma1 

        =                   =         INACCURATE).        =             &nb= sp;      Sigma1 

        =             &nb= sp;            *NEW FASTER HIGH ENERGY BROADENING.     Sigma1 

        =             &nb= sp;            *UPDATED FOR ENDF/B-VI FORMATS.         Sigma1 

        =             &nb= sp;            *SPECIAL I/O ROUTINES TO GUARANTEE      Sigma1 

        =             &nb= sp;             ACCURACY OF ENERGY.        =             Sigma1 

        =             &nb= sp;            *DOUBLE PRECISION TREATMENT OF ENERGY   Sigma1 

        =             &nb= sp;             (REQUIRED FOR NARROW RESONANCES).      Sigma1 

      VERSION 85= -2 (AUGUST 1985) *FORTRAN-77/H VERSION        =            Sigma1 

      VERSION 86= -1 (JANUARY 1986)*ENERGY DEPENDENT SCATTERING RADIUS     Sigma1 

      VERSION 88= -1 (JULY 1988)   *OPTION...I= NTERNALLY DEFINE ALL I/O     Sigma1 

        =             &nb= sp;             FILE NAMES (SEE, SUBROUTINE FILEIO     Sigma1 

        =             &nb= sp;             FOR DETAILS).        =             &nb= sp;     Sigma1 

        =             &nb= sp;            *IMPROVED BASED ON USER COMMENTS.       Sigma1 

      VERSION 89= -1 (JANUARY 1989)*PSYCHOANALYZED BY PROGRAM FREUD TO     Sigma1 

        =             &nb= sp;             INSURE PROGRAM WILL NOT DO ANYTHING    Sigma1 

        =             &nb= sp;             CRAZY.        =             &nb= sp;            Sigma1 

        =             &nb= sp;            *UPDATED TO USE NEW PROGRAM CONVERT     Sigma1 

        =             &nb= sp;             KEYWORDS.        =             &nb= sp;         Sigma1 

        =             &nb= sp;            *ADDED LIVERMORE CIVIC COMPILER         Sigma1 

        =             &nb= sp;             CONVENTIONS.        =             &nb= sp;      Sigma1 

      VERSION 90= -1 (JUNE 1990)   *UPDATED BA= SED ON USER COMMENTS         Sigma1 

        =             &nb= sp;            *ADDED FORTRAN SAVE OPTION        =       Sigma1 

              =             &nb= sp;      *NEW MORE CONSISTENT ENERGY OUTPUT      Sigma1 

        =             &nb= sp;             ROUTINES        =             &nb= sp;          Sigma1 

      VERSION 91= -1 (JULY 1991)   *WARNING...= INPUT PARAMETER FORMAT       Sigm= a1 

        =                 =           HAS BEEN CHANGED - SEE BELOW FOR       Sigm= a1 

        =             &nb= sp;             DETAILS.        =             &nb= sp;          Sigma1 

        =             &nb= sp;            *ADDED CHARGED PARTICLE PROJECTILES     Sigma1 

        =             &nb= sp;            *OUTPUT ENERGY RANGE IS ALWAYS AT       Sigma1 

        =             &nb= sp;             LEAST AS LARGE AS INPUT ENERGY RANGE.  Sigma1 

        =             &nb= sp;            *NO 1/V EXTENSION OF CROSS SECTIONS     Sigma1 

        =             &nb= sp;             FROM UNRESOLVED ENERGY RANGE.        =   Sigma1 

      VERSION 92= -1 (JANUARY 1992)*INSURE MINIMUM AND MAXIMUM CROSS       Sigma1 

        =             &nb= sp;             SECTIONS ARE ALWAYS KEPT (NOT THINNED) Sigma1 

        =             &nb= sp;            *MT=3D19 (FIRST CHANCE FISSION) TREATED   Sigma1 

        =             &nb= sp;             THE SAME AS FISSION.        =            Sigma1 

        =             &nb= sp;            *VARIABLE MINIMUM CROSS SECTION OF      Sigma1 

        =             &nb= sp;             INTEREST - TO ALLOW SMALL CROSS        Sigma1 

        =             &nb= sp;             SECTIONS NEAR THRESHOLDS TO BE         Sigma1 

        =             &nb= sp;             TREATED PROPERLY.        =             &nb= sp; Sigma1 

        =             &nb= sp;            *ALL ENERGIES INTERNALLY ROUNDED PRIOR  Sigma1 

        =             &nb= sp;             TO CALCULATIONS.        =             &nb= sp;  Sigma1 

        =             &nb= sp;            *COMPLETELY CONSISTENT I/O AND ROUNDING Sigma1 

        =             &nb= sp;             ROUTINES - TO MINIMIZE COMPUTER        Sigma1 

        =             &nb= sp;             DEPENDENCE.        =             &nb= sp;       Sigma1 

      VERSION 92= -2 (JULY 1992)   *CORRECTED = BUG ASSOCIATED WITH        =   Sigma1 

        =             &nb= sp;             THRESHOLD REACTIONS.        =            Sigma1 

            =             &nb= sp;        *UNRESOLVED REGION COPIED WITHOUT       Sigma1 

        =             &nb= sp;             THINNING (IT SHOULD BE EXACTLY THE     Sigma1 

        =             &nb= sp;             SAME AT ALL TEMPERATURES).        =      Sigma1 

        =               =            *NO THINNING OF REACTIONS (MT) THAT     Sigma1 

        =             &nb= sp;             WERE NOT BROADENED.        =             Sigma1 

      VERSION 93= -1 (APRIL 1993)  *INCREASED PAGE = SIZE FROM 2004        =   Sigma1 

        =             &nb= sp;           =   TO 24000 ENERGY PONTS.        =          Sigma1 

      VERSION 94= -1 (JANUARY 1994)*VARIABLE ENDF/B DATA FILENAMES         Sigma1 

        =             &nb= sp;             TO ALLOW ACCESS TO FILE STRUCTURES     Sigma1 

        =             &nb= sp;             (WARNING - INPUT PARAMETER FORMAT      Sigma1 

        =             &nb= sp;             HAS BEEN CHANGED)        =             &nb= sp; Sigma1 

        =             &nb= sp;            *CLOSE ALL FILES BEFORE TERMINATING     Sigma1 

        =             &nb= sp;             (SEE, SUBROUTINE ENDIT)        =         Sigma1 

      VERSION 96= -1 (JANUARY 1996) *COMPLETE RE-WRITE        =              Sigma1 

        =             &nb= sp;             *IMPROVED COMPUTER INDEPENDENCE        Sigma1 

        =             &nb= sp;             *ALL DOUBLE PRECISION        =           Sigma1 

        =             &nb= sp;             *ON SCREEN OUTPUT        =             &nb= sp; Sigma1 

        =             &nb= sp;             *UNIFORM TREATMENT OF ENDF/B I/O       Sigma1 

        =             &nb= sp;             *IMPROVED OUTPUT PRECISION            =  Sigma1 

        =             &nb= sp;             *DEFINED SCRATCH FILE NAMES        =     Sigma1 

        =             &nb= sp;             *ALWAYS INCLUDE THERMAL VALUE        =   Sigma1 

      VERSION 97= -1 (APRIL 1997)   *OPTIONALL= Y SET NEGATIVE CROSS         Sigma1 

        =             &nb= sp;            =   SECTIONS =3D 0 ON INPUT AND        =      Sigma1 

        =             &nb= sp;            =   OUTPUT.        =             &nb= sp;          Sigma1 

        =             &nb= sp;             *INCREASED PAGE SIZE FROM 24000        Sigma1 

          =             &nb= sp;            = TO 60000 ENERGY POINTS.        =        Sigma1 

      VERSION 99= -1 (MARCH 1999)   *CORRECTED CHARACTER TO FLOATING       Sigm= a1 

        =             &nb= sp;            =   POINT READ FOR MORE DIGITS        =     Sigma1 

        =             =             &nb= sp; *UPDATED TEST FOR ENDF/B FORMAT   &n= bsp;    Sigma1 

        =             &nb= sp;            =   VERSION BASED ON RECENT FORMAT CHANGE Sigma1 

        =             &nb= sp;             *TREAT LOW ENERGY INITIAL CROSS        Sigma1 

        =             &nb= sp;         =      SECTIONS AS LOG-LOG INTERPOLABLE      Sigma1 

        =             &nb= sp;             *CONSTANT (RATHER THAN 1/V) EXTENSION  Sigma1 

        =             &nb= sp;            =   TO HIGHER ENERGY.        =              Sigma1 

        =             &nb= sp;             *UPDATED CONSTAN= TS BASED ON CSEWG    &nbs= p; Sigma1 

        =             &nb= sp;            =   SUBCOMMITTEE RECOMMENDATIONS        =   Sigma1 

        =             &nb= sp;             *GENERAL IMPROVEMENTS BASED ON         Sigma1 

        =             &nb= sp;            =   USER FEEDBACK        =             &nb= sp;    Sigma1 

      VERSION 99= -2 (JUNE 1999)    *EXTE= NDED RANGE OF INTEGRALS FROM 4    Sigma1 

        =             &nb= sp;            =   TO 5 UNITS ON EACH SIDE OF ENERGY     Sigma1 

        =             &nb= sp;            =   POINT TO ALLOW FOR LARGER VARIATION   Sigma1 

        =             &nb= sp;            =   IN THE LOCAL CROSS SECTION        =     Sigma1 

        =             &nb= sp;             *ASSUME ENDF/B-VI, NOT V, IF MISSING   Sigma1 

        =             &nb= sp;            =   MF=3D1, MT-451.        =               =    Sigma1 

      VERSION 99= -3 (OCTOBER 1999))*IMPROVED ERFC FUNCTION DEFINITION.    Sigma1 

        =             &nb= sp;            =   I THANK BOB MACFARLANE (LANL) FOR     Sigma1 

        =             &nb= sp;            =   SUPPLYING A MORE ACCURATE ERFC        Sigma1 

        =             &nb= sp;            =   FUNCTION.        =             &nb= sp;        Sigma1 

      VERS. 2000= -1 (FEBRUARY 2000)*CORRECTED LOW ENERGY INTERPOLATION    Sigma1 

        =             &nb= sp;            =   FOR NON-POSITIVE CROSS SECTIONS       Sigma1 

        =             &nb= sp;             *GENERAL IMPROVEMENTS BASED ON         Sigma1 

        =             &nb= sp;            =   USER FEEDBACK        =             &nb= sp;    Sigma1 

      VERS. 2002= -1 (MAY 2002)     *OPTIONAL INPUT PARAMETERS        =      Sigma1 

      VERS. 2004= -1 (JAN. 2004)    *OPTI= ONALLY IGNORE UNRESOLVED REGION   Sigma1 

        =             &nb= sp;             *CORRECTED PROBLEM AT THE RESOLVED/    Sigma1 

        =             &nb= sp;            =   UNRESOLVED ENERGY BOUNDARY.        =    Sigma1 

        =                     =       *CORRECTED HIGH ENERGY CONSTANT CROSS  Sigma1 

        =             &nb= sp;            =   SECTION EXTENSION.        =             Sigma1 

        =             &nb= sp;             *TIGHTER CRITERIA FOR INITIAL ENERGY   Sigma1 

        =             &nb= sp;              POINT SPACING        =             &nb= sp;    Sigma1 

        =             &nb= sp;             *TEMPERATURE DEPENDENT ENERGY POINT    Sigma1 

        =             &nb= sp;            =   SPACING.        =             &nb= sp;         Sigma1 

        =             &nb= sp;             *ADDED NEW REICH-MOORE (LRF=3D7) TO      Sigma1 

        =             &nb= sp;            =   FILE2 TO ALLOW COPY TO FIND ANY       Sigma1 

        =             &nb= sp;            =   FOLLOWING UNRESOLVED PARAMETERS       Sigma1 

      VERS. 2005= -1 (JUNE 2005)    *CORR= ECTED ERROR IN EHOT3 EQUIVALENCE  Sigma1 

        =             &nb= sp;            =   TO EHOT - THIS ONLY EFFECTS VERY BIG  Sigma1 

        =             &nb= sp;            =   OUTPUT FILES.        =             &nb= sp;    Sigma1 

      VERS. 2007= -1 (JAN. 2007)    *CHEC= KED AGAINST ALL ENDF/B-VII.       Sigma1 

        =             &nb= sp;             *INCREASED PAGE SIZE FROM 60,000       Sigma1 

        =             &nb= sp;            =   TO 360,000 ENERGY POINTS.        =      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =                Sigma1 

      Acknowledg= ement 2004        =             &nb= sp;            =             &nb= sp; Sigma1 

      --------------------        =             &nb= sp;            =             &nb= sp; Sigma1 

      Currently = almost all improvements to this code are based upon      Sigma1  

      feedback f= rom code users who report problems. This feedback        Sigma1 

      benefits A= LL users of this code, and ALL users are encouraged      Sigma1 

      to report problems.        =             &nb= sp;            =             &nb= sp;  Sigma1 

                =             &nb= sp;            =             &nb= sp;            =        Sigma1 

      Improvemen= ts on the 2004 version of this code based on user        Sigma1 

      feedback including,        =             &nb= sp;            =             &nb= sp;  Sigma1 

      1) Bret Be= ck  - reported a problem at the resolved/unresolved      Sigma1 

        =             &nb= sp; energy boundary.        =             &nb= sp;            =   Sigma1 

      2) S. Gane= san - reported a problem for small temperature changes.  Sigma1 

        =             &nb= sp;               =             &nb= sp;            =             Sigma1 

      OWNED, MAINTAINED AND DISTRIBUTED BY        =             &nb= sp;          Sigma1 

      ------------------------------------        =             &nb= sp;          Sigma1 

      THE NUCLEA= R DATA SECTION                =             &nb= sp;            =   Sigma1 

      INTERNATIO= NAL ATOMIC ENERGY AGENCY        =             &nb= sp;            Sigma1 

      P.O. BOX 100        =             &nb= sp;            =             &nb= sp;         Sigma1 

      A-1400, VI= ENNA, AUSTRIA        =                    =             &nb= sp;    Sigma1 

      EUROPE        =             &nb= sp;            =             &nb= sp;            =    Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      ORIGINALLY WRITTEN BY        =             &nb= sp;                  =        Sigma1 

      ------------------------------------        =             &nb= sp;          Sigma1 

      DERMOTT E. CULLEN        =             &nb= sp;            =             &nb= sp;    Sigma1 

      UNIVERSITY= OF CALIFORNIA        =             &nb= sp;            =           Sigma1 

      LAWRENCE LIVERMORE NATIONAL LABORATORY        =             &nb= sp;        Sigma1 

      L-159        =             &nb= sp;            =             &nb= sp;            =     Sigma1 

      P.O. BOX 808        =             &nb= sp;            =             &nb= sp;         Sigma1 

      LIVERMORE,= CA 94550        =             &nb= sp;            =             &nb= sp;  Sigma1 

      U.S.A.        =             &nb= sp;            =             &nb= sp;            =    Sigma1 

      TELEPHONE<= span style=3D'mso-spacerun:yes'>  925-423-7359        =             &nb= sp;            =            Sigma1 

      E. MAIL    CULLEN1@LLNL.GOV        =             &nb= sp;            =        Sigma1 

      WEBSITE    HTTP://WWW.LLNL.GOV/CULLEN1        =             &nb= sp;        Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      AUTHORS ME= SSAGE        =             &nb= sp;            =             &nb= sp;      Sigma1 

      ---------------        =             &nb= sp;            =             &nb= sp;      Sigma1 

      THE REPORT DESCRIBED ABOVE IS THE LATEST PUBLISHED DOCUMENTATION   Sigma1 

      FOR THIS PROGRAM. HOWEVER, THE COMMENTS BELOW SHOULD BE CONSIDERED Sigma1 

      THE LATEST DOCUMENTATION INCLUDING ALL RECENT IMPROVEMENTS. PLEASE Sigma1 

      READ ALL OF THESE COMMENTS BEFORE IMPLEMENTATION, PARTICULARLY     Sigma1 

      THE COMMEN= TS CONCERNING MACHINE DEPENDENT CODING.        =           Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      AT THE PRE= SENT TIME WE ARE ATTEMPTING TO DEVELOP A SET OF COMPUTER Sigma1 

      INDEPENDENT PROGRAMS THAT CAN EASILY BE IMPLEMENTED ON ANY ONE     Sigma1 

      OF A WIDE VARIETY OF COMPUTERS. IN ORDER TO ASSIST IN THIS PROJECT Sigma1 

      IT WOULD BE APPECIATED IF YOU WOULD NOTIFY THE AUTHOR OF ANY       Sigma1 

      COMPILER DIAGNOSTICS, OPERATING PROBLEMS OR SUGGESTIONS ON HOW TO  Sigma1 

      IMPROVE TH= IS PROGRAM. HOPEFULLY, IN THIS WAY FUTURE VERSIONS OF    Sigma1 

      THIS PROGR= AM WILL BE COMPLETELY COMPATIBLE FOR USE ON YOUR         Sigma1 

      COMPUTER.<= span style=3D'mso-spacerun:yes'>        =             &nb= sp;            =             &nb= sp;            Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      PURPOSE        =             &nb= sp;            =             &nb= sp;            =   Sigma1 

      -------        =             &nb= sp;            =             &nb= sp;            =   Sigma1 

      THIS PROGR= AM IS DESIGNED TO DOPPLER BROADEN NEUTRON INDUCED        Sigma1 

      CROSS SECT= IONS. EACH SECTION OF CROSS SECTIONS (FILE 3) IS READ    Sigma1 

      FROM THE E= NDF/B FORMAT. THE DATA IS DOPPLER BROADENED, THINNED     Sigma1 

      AND OUTPUT IN THE ENDF/B FORMAT.        =             &nb= sp;            =   Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      IN THE FOL= LOWING DISCUSSION FOR SIMPLICITY THE ENDF/B TERMINOLOGY  Sigma1 

      ---ENDF/B TAPE---WILL BE USED. IN FACT THE ACTUAL MEDIUM MAY BE    Sigma1 

      TAPE, CARD= S, DISK OR ANY OTHER MEDIUM.        =             &nb= sp;        Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      ENDF/B FORMAT             =             &nb= sp;            =             &nb= sp;   Sigma1 

      -------------        =             &nb= sp;            =             &nb= sp;        Sigma1 

      THIS PROGR= AM ONLY USES THE ENDF/B BCD OR CARD IMAGE FORMAT (AS     Sigma1 

      OPPOSED TO= THE BINARY FORMAT) AND CAN HANDLE DATA IN ANY VERSION   Sigma1 

      OF THE END= F/B FORMAT (I.E., ENDF/B-I, II, III, IV OR V FORMAT).    Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      IT IS ASSU= MED THAT THE DATA IS CORRECTLY CODED IN THE ENDF/B       Sigma1 

<= /p>

      FORMAT AND= NO ERROR CHECKING IS PERFORMED. IN PARTICULAR IT IS     Sigma1 

      ASSUMED TH= AT THE MAT, MF AND MT ON EACH CARD IS CORRECT. SEQUENCE  Sigma1 

      NUMBERS (C= OLUMNS 76-80) ARE IGNORED ON INPUT, BUT WILL BE        =   Sigma1 

      CORRECTLY = OUTPUT ON ALL CARDS. THE FORMAT OF SECTION MF=3D1, MT=3D451  Sigma1 

      AND ALL SE= CTIONS OF MF=3D3 MUST BE CORRECT. THE PROGRAM COPIES ALL   Sigma1 

      OTHER SECT= ION OF DATA AS HOLLERITH AND AS SUCH IS INSENSITIVE TO   Sigma1 

      THE CORREC= TNESS OR INCORRECTNESS OF ALL OTHER SECTIONS.        =     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      ALL CROSS SECTIONS THAT ARE USED BY THIS PROGRAM MUST BE TABULATED Sigma1 

      AND LINEAR= LY INTERPOLABLE IN ENERGY AND CROSS SECTION (ENDF/B      Sigma1 

      INTERPOLAT= ION LAW 2). FILE 3 CROSS SECTIONS MAY BE MADE LINEARLY   Sigma1 

      INTERPOLAB= LE BY USING PROGRAM LINEAR (UCRL-50400, VOL.17, PART A). Sigma1 

      FILE 2 RESONANCE PARAMETERS MAY BE USED TO RECONSTRUCT ENERGY      Sigma1 

      DEPENDENT = CROSS SECTIONS AND ADD IN FILE 3 BACKGROUND CROSS        Sigma1 

      SECTIONS TO DEFINE LINEARLY INTERPOLABLE CROSS SECTIONS BY USING   Sigma1 

      PROGRAM RE= CENT (UCRL-50400, VOL. 17, PART C). IF THIS PROGRAM      Sigma1 

      FINDS THAT= THE FILE 3 CROSS SECTIONS ARE NOT LINEARLY INTERPOLABLE Sigma1 

      THIS PROGR= AM WILL TERMINATE EXECUTION.        =             &nb= sp;        Sigma1 

        =                      =             &nb= sp;            =             &nb= sp;      Sigma1 

      UNRESOLVED RESONANCE REGION        =             &nb= sp;            =        Sigma1 

      ---------------------------        =             &nb= sp;            =        Sigma1 

      IN THE UNRESOLVED RESONANCE REGION IT IS NOT POSSIBLE TO EXACTLY   Sigma1 

      DEFINE THE ENERGY DEPENDENCE OF THE CROSS SECTIONS. THE AVERAGE    Sigma1 

      WIDTHS AND SPACINGS GIVEN IN ENDF/B ARE ONLY ADEQUATE TO DEFINE    Sigma1 

      AVERAGE VA= LUES OF THE CROSS SECTIONS. THEREFORE ALL CROSS SECTIONS Sigma1 

      IN THE END= F/B FORMAT FOR THE UNRESOLVED REGION ARE REALLY AVERAGE  Sigma1 

      VALUES WHI= CH CANNOT BE DOPPLER BROADENED USING THE SIGMA1 METHOD   Sigma1 

      (WHICH REQ= UIRES TABULATED, LINEARLY INTERPOLABLE, ENERGY DEPENDENT Sigma1 

      CROSS SECTIONS.        =             &nb= sp;            =             &nb= sp;      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      THEREFORE,=         =             &nb= sp;            =                     =     Sigma1 

      (1) ALL TABULATED POINTS WITHIN THE UNRESOLVED RESONANCE REGION    Sigma1 

      WILL BE CO= PIED, WITHOUT MODIFICATION OR BROADENING. ADOPTION OF    Sigma1 

      THIS CONVE= NTION WILL ALLOW SUBSEQUENT PROGRAMS TO PROPERLY DEFINE  Sigma1 

      SELF-SHIEL= DED, DOPPLER BROADENED CROSS SECTIONS IN THE UNRESOLVED  Sigma1 

      RESONANCE REGION.        =             &nb= sp;            =             &nb= sp;    Sigma1 

      (2) CROSS SECTIONS WILL BE EXTENDED AS 1/V ABOVE THE UPPER ENERGY  Sigma1 

      LIMIT OF T= HE RESOLVED RESONANCE REGION AND BELOW THE LOWER ENERGY  Sigma1 

      LIMIT OF T= HE CONTINUUUM REGION (I.E. INTO THE UNRESOLVED        =    Sigma1 

      RESONANCE REGION). THIS CONVENTION WILL GUARANTEE A SMOOTH         Sigma1 

      BEHAVIOR C= LOSE TO THE UNRESOLVED RESONANCE REGION BOUNDARIES.      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      OUTPUT FORMAT        =             &nb= sp;            =             &nb= sp;        Sigma1 

      ----------= ---        =             &nb= sp;            =             &nb= sp;        Sigma1 

      IN THIS VE= RSION OF SIGMA1 ALL FILE 3 ENERGIES WILL BE OUTPUT IN    Sigma1 

      F (INSTEAD= OF E) FORMAT IN ORDER TO ALLOW ENERGIES TO BE WRITTEN   Sigma1 

      WITH UP TO= 9 DIGITS OF ACCURACY. IN PREVIOUS VERSIONS THIS WAS AN  Sigma1 

      OUTPUT OPT= ION. HOWEVER USE OF THIS OPTION TO COMPARE THE RESULTS   Sigma1 

      OF ENERGIES WRITTEN IN THE NORMAL ENDF/B CONVENTION OF 6 DIGITS    Sigma1 

      TO THE 9 D= IGIT OUTPUT FROM THIS PROGRAM DEMONSTRATED THAT FAILURE  Sigma1 

      TO USE THE= 9 DIGIT OUTPUT CAN LEAD TO LARGE ERRORS IN THE DATA     Sigma1 

      JUST DUE TO TRANSLATION OF THE ENERGIES TO THE ENDF/B FORMAT.      Sigma1 

        =             &nb= sp;            =             &nb= sp;           =             &nb= sp;   Sigma1 

      CONTENTS OF OUTPUT        =             &nb= sp;            =             &nb= sp;   Sigma1 

      ------------------        =             &nb= sp;            =             &nb= sp;   Sigma1 

      ENTIRE EVALUATIONS ARE OUTPUT, NOT JUST THE BROADENED FILE 3       Sigma1 

      CROSS SECT= IONS, E.G. ANGULAR AND ENERGY DISTRIBUTIONS ARE ALSO     Sigma1 

      INCLUDED.<= span style=3D'mso-spacerun:yes'>        =             &nb= sp;            =             &nb= sp;            Sigma1 

        =             &nbs= p;            &= nbsp;           &nbs= p;            &= nbsp;              Sigma1 

      DOCUMENTATION        =             &nb= sp;            =             &nb= sp;        Sigma1 

      -------------        =             &nb= sp;            =             &nb= sp;        Sigma1 

      THE FACT T= HAT THIS PROGRAM HAS OPERATED ON THE DATA IS DOCUMENTED  Sigma1 

      BY THE ADD= ITION OF THREE COMMENTS CARDS AT THE END OF EACH         Sigma1 

      HOLLERITH SECTION IN THE FORM        =             &nb= sp;            =      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      **********= ******* PROGRAM SIGMA1 (2007-1) ***************        =   Sigma1 

      DATA DOPPL= ER BROADENED TO 300.0   KELV= IN AND        =             &nb= sp;  Sigma1 

      DATA THINN= ED TO WITHIN AN ACCURACY OF  0.1 PER-CENT        =         Sigma1 

        =                  =             &nb= sp;            =             &nb= sp;          Sigma= 1 

      THE ORDER = OF ALL SIMILAR COMMENTS (FROM LINEAR,RECENT AND GROUPY)  Sigma1 

      REPRESENTS= A COMPLETE HISTORY OF ALL OPERATIONS PERFORMED ON       Sigma1 

      THE DATA.<= span style=3D'mso-spacerun:yes'>        =             =             &nb= sp;            =             &nb= sp;Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      THESE COMM= ENT CARDS ARE ONLY ADDED TO EXISTING HOLLERITH SECTIONS, Sigma1 

      I.E., THIS PROGRAM WILL NOT CREATE A HOLLERITH SECTION. THE FORMAT Sigma1 

      OF THE HOL= LERITH SECTION IN ENDF/B-V DIFFERS FROM THE THAT OF      Sigma1 

      EARLIER VE= RSIONS OF ENDF/B. BY READING AN EXISTING MF=3D1, MT=3D451    Sigma1 

      IT IS POSS= IBLE FOR THIS PROGRAM TO DETERMINE WHICH VERSION OF      Sigma1 

      THE ENDF/B FORMAT THE DATA IS IN. WITHOUT HAVING A SECTION OF      Sigma1 

      MF=3D1, MT= =3D451 PRESENT IT IS IMPOSSIBLE FOR THIS PROGRAM TO        =   Sigma1 

      DETERMINE = WHICH VERSION OF THE ENDF/B FORMAT THE DATA IS IN, AND   Sigma1 

      AS SUCH IT= IS IMPOSSIBLE FOR THE PROGRAM TO DETERMINE WHAT FORMAT  Sigma1 

      SHOULD BE = USED TO CREATE A HOLLERITH SECTION.        =             &nb= sp; Sigma1 

        =             &nb= sp;            =             &nb= sp;            =                Sigma= 1 

      REACTION INDEX        =             &nb= sp;            =             &nb= sp;       Sigma1 

      --------------        =             &nb= sp;            =             &nb= sp;       Sigma1 

      THIS PROGR= AM DOES NOT USE THE REACTION INDEX WHICH IS GIVEN IN     Sigma1 

      SECTION MF= =3D1, MT=3D451 OF EACH EVALUATION.        =             &nb= sp;      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      THIS PROGR= AM DOES NOT UPDATE THE REACTION INDEX IN MF=3D1, MT=3D451.   Sigma1 

      THIS CONVENTION HAS BEEN ADOPTED BE= CAUSE MOST USERS DO NOT         Sigma1 

      REQUIRE A CORRECT REACTION INDEX FOR THEIR APPLICATIONS AND IT WAS Sigma1 

      NOT CONSID= ERED WORTHWHILE TO INCLUDE THE OVERHEAD OF CONSTRUCTING  Sigma1 

      A CORRECT REACTION INDEX IN THIS PROGRAM. HOWEVER, IF YOU REQUIRE  Sigma1 

      A REACTION= INDEX FOR YOUR APPLICATIONS, AFTER RUNNING THIS PROGRAM Sigma1 

      YOU MAY USE PROGRAM DICTIN TO CREATE A CORRECT REACTION INDEX.     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      SECTION SIZE        =             &nb= sp;            =             &nb= sp;         Sigma1 

      ------------        =             &nb= sp;            =             &nb= sp;         Sigma1 

      SINCE THIS PROGRAM USES A LOGICAL PAGING SYSTEM THERE IS NO LIMIT  Sigma1 

      TO THE NUM= BER OF POINTS IN ANY SECTION, E.G., THE TOTAL CROSS      Sigma1 

      SECTION MA= Y BE REPRESENTED BY 200,000 DATA POINTS.        =          Sigma1 

        =             &nb= sp;            =                     =             &nb= sp;       Sigma1 

      SELECTION = OF DATA        =             &nb= sp;            =             &nb= sp;    Sigma1 

      -----------------        =             &nb= sp;            =             &nb= sp;    Sigma1 

      THE PROGRAM SELECTS MATERIALS TO BE BROADENED BASED EITHER ON      Sigma1 

      MAT (ENDF/= B MAT NO.) OR ZA. THE PROGRAM ALLOWS UP TO 100 MAT OR    Sigma1 

      ZA RANGES = TO BE SPECIFIED. THE PROGRAM WILL ASSUME THAT THE        Sigma1 

      ENDF/B TAP= E IS IN EITHER MAT OR ZA ORDER, WHICHEVER CRITERIA IS    Sigma1 

      USED TO SE= LECT MATERIALS, AND WILL TERMINATE WHEN A MAT OR ZA      Sigma1 

      IS FOUND T= HAT IS ABOVE THE RANGE OF ALL REQUESTS.        =           Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      ENERGY GRI= D OF BROADENED DATA        =             &nb= sp;            =      Sigma1 

      -----------------------------        =             &nb= sp;            =      Sigma1 

      THE ENERGY= GRID FOR THE DOPPLER BROADENED CROSS SECTIONS IS        Sigma1 

      SELECTED TO INSURE THAT= THE BROADENED DATA IS LINEAR-LINEAR        Sigma1 

      INTERPOLAB= LE. AS SUCH THE ENERGY GRID FOR THE BROADENED DATA       Sigma1 

      MAY NOT BE= THE SAME AS THE ENERGY GRID FOR THE ORIGINAL        =     Sigma1 

      UNBROADENED DATA. GENERALLY AFTER BROADENING THERE WILL BE         Sigma1 

      FEWER DATA POINTS IN THE RESONANCE REGION, BUT AT LOW ENERGY       Sigma1 

      THERE MAY = BE MORE POINTS, DUE TO THE 1/V LOW ENERGY EFFECT         Sigma1 

      CREATED BY DOPPLER BROADENING.        =             &nb= sp;            =     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      EFFECTIVE TEMERATURE INCREASE        =             &nb= sp;            =      Sigma1 

      -----------------------------        =             &nb= sp;            =      Sigma1 

      IF THE ORI= GINAL DATA IS NOT AT ZERO KELVIN THE PROGRAM WILL        Sigma1 

      BROADEN TH= E DATA BY THE EFFECTIVE TEMPERATURE DIFFENCE TO THE      Sigma1 

      FINAL TEMPERATURE. IF THE DATA IS ALREADY AT A TEMPERATURE THAT    Sigma1 

      IS HIGHER = THAN THE FINAL TEMPERATURE DOPPLER BROADENING IS         Sigma1 

      NATURALLY = NOT PERFORMED AND THE TEMPERATURE IN THE SECTION IS LEFT Sigma1 

      AT ITS ORI= GINAL VALUE.        =             &nb= sp;            =             Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      MULTIPLE F= INAL TEMPERATURES        =             &nb= sp;            =        Sigma1 

      ---------------------------        =             &nb= sp;                 =   Sigma1 

      THE PRESENT VERSION ONLY DOPPLER BROADENS TO ONE FINAL TEMPERATURE Sigma1 

      (IF THERE = IS SUFFICIENT INTEREST EXPRESSED BY USERS FUTURE         Sigma1 

      VERSION MAY BROADEN TO MULTIPLE TEMPERATURES. PLEASE        =        Sigma1 

      CONTACT THE AUTHOR IF YOU ARE INTERESTED IN A MULTIPLE        =      Sigma1 

      TEMPERATURE OPTION).        =             &nb= sp;            =             &nb= sp; Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      PROGRAM OPERATIO= N        =             &nb= sp;            =             &nb= sp;    Sigma1 

      -----------------        =             &nb= sp;            =             &nb= sp;    Sigma1 

      EACH SECTI= ON OF FILE 3 DATA IS CONSIDERED SEPERATELY. THE DATA     Sigma1 

      IS READ AND DOPPLER BROADENED A PAGE AT A TIME (ONE PAGE IS        Sigma1 

      60000 DATA POINTS). UP TO THREE PAGES OF DATA MAY BE IN THE CORE   Sigma1 

      AT ANY GIV= EN TIME, THE PAGE BEING BROADENED, THE PAGE BELOW IT     Sigma1 

      IN ENERGY = AND THE PAGE ABOVE IT IN ENERGY. AFTER A PAGE HAS BEEN   Sigma1 

      BROADENED = IT IS THINNED, IF THE ENTIRE SECTION CONTAINS ONLY       Sigma1 

      ONE PAGE OR LESS, IT WILL STILL BE CORE RESIDENT AND WILL BE       Sigma1 

      WRITTEN DI= RECTLY FROM CORE TO THE OUTPUT TAPE. IF THE BROADENED,   Sigma1 

      THINNED SE= CTION IS LARGER THAN A PAGE, AFTER A PAGE HAS BEEN       Sigma1 

      BROADENED = AND THINNED IT IS WRITTEN TO A SCRATCH FILE. AFTER THE   Sigma1 

      ENTIRE SEC= TION HAS BEEN BROADENED AND THINNED THE DATA IS READ     Sigma1 

      FROM SCRAT= CH TO CORE, ONE PAGE AT A TIME, THE OUTPUT TO THE OUTPUT Sigma1 

      TAPE.        =             &nb= sp;            =             &nb= sp;            =     Sigma1 

        =             &nb= sp;            =             &nb= sp;             =             &nb= sp; Sigma1 

      ALLOWABLE ERROR        =             &nb= sp;            =             &nb= sp;      Sigma1 

      ---------------        =             &nb= sp;            =             &nb= sp;      Sigma1 

      AFTER DOPP= LER BROADENING THE CROSS SECTION IN THE RESONANCE REGION Sigma1 

      WILL GENER= ALLY BE MUCH SMOOTHER THAN THE UNBROADENED DATA AND CAN  Sigma1 

      BE REPRESE= NTED TO THE SAME ACCURACY BY A SMALLER NUMBER OF ENERGY  Sigma1 

      POINTS. THEREFORE AFTER DOPPLER BROADENING THE DATA CAN BE THINNED Sigma1 

      WITH ESSEN= TIALLY NO LOSE OF INFORMATION.        =             &nb= sp;      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      THE ALLOWA= BLE ERROR MAY BE ENERGY INDEPENDENT (CONSTANT) OR ENERGY Sigma1 

      DEPENDENT.= THE ALLOWABLE ERROR IS DESCRIBED BY A TABULATED         Sigma1 

      FUNCTION O= F UP TO 20 (ENERGY,ERROR) PAIRS AND LINEAR INTERPOLATION Sigma1 

      BETWEEN TABULATED POINTS. IF ONLY ONE TABULATED POINT IS GIVEN THE Sigma1 

      ERROR WILL= BE CONSIDERED CONSTANT OVER THE ENTIRE ENERGY RANGE.    Sigma1 

      WITH THIS = ENERGY DEPENDENT ERROR ONE MAY OPTIMIZE THE OUTPUT FOR   Sigma1 

      ANY GIVEN APPLICATION BY USING A SMALL ERROR IN THE ENERGY RANGE   Sigma1 

      OF INTERES= T AND A LESS STRINGENT ERROR IN OTHER ENERGY RANGES.     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      INPUT FILE= S        =             &nb= sp;            =             &nb= sp;          Sigma1 

      ----------= -        =             =             &nb= sp;            =            Si= gma1 

      UNIT  DESCRIPTION        =             &nb= sp;            =             &nb= sp;    Sigma1 

      ----  -----------        =             &nb= sp;            =             &nb= sp;    Sigma1 

         2  INPUT CARDS (BCD - 80 CHARACTERS/RECORD)        =              Sigma1 

        10  ORIGINAL ENDF/B DAT= A (BCD - 80 CHARACTERS/RECORD)        =     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      OUTPUT FILES        =             &nb= sp;                  =             &nb= sp;   Sigma1 

      ------------        =             &nb= sp;            =             &nb= sp;         Sigma1 

      UNIT  DESCRIPTION        =             &nb= sp;            =             &nb= sp;    Sigma1 

      ----  -----------        =             &nb= sp;            =            =       Sigma1 

         3  OUTPUT REPORT (BCD -= 120 CHARACTERS/RECORD)        =           Sigma1 

        11  FINAL ENDF/B DATA (= BCD - 80 CHARACTERS/RECORD)        =        Sigma1 

        =             &nb= sp;            =             &nb= sp;            =                Sigma1 

      SCRATCH FILES        =             &nb= sp;            =             &nb= sp;        Sigma1 

      -------------        =             &nb= sp;            =             &nb= sp;        Sigma1 

      UNIT  DESCRIPTION        =             &nb= sp;            =             &nb= sp;    Sigma1 

      ----  -----------        =             &nb= sp;            =             &nb= sp;    Sigma1 

        12  SCRATCH FILE FOR BROADENED DATA        =             &nb= sp;         Sigma1 

        =     (BINARY - 180000 WORDS/RECORD - DOUBLE PRECISION/        =     Sigma1 

               =         42000 WORDS/RECORD - SINLGE PRECISION)        =     Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      OPTIONAL STANDARD FILE NAMES (SEE SUBROUTINE FILEIO)        =        Sigma1 

      ----------= ------------------------------------------        =        Sigma1 

      UNIT  FILE NAME        =             &nb= sp;            =             &nb= sp;      Sigma1 

      ----  ----------        =             &nb= sp;            =             &nb= sp;     Sigma1 

        2   SIGMA1.INP             =             &nb= sp;            =             &nb= sp;Sigma1 

        3   SIGMA1.LST        =             &nb= sp;            =             &nb= sp;     Sigma1 

       10   ENDFB.IN        =             &nb= sp;            =             &nb= sp;       Sigma1 

       11   ENDFB.OUT        =                 =             &nb= sp;            =    Sigma1 

       12   (SCRATCH)        =             &nb= sp;            =             &nb= sp;      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      INPUT CARD= S        =             &nb= sp;                 =             &nb= sp;     Sigma1 

      ----------= -        =             &nb= sp;            =             &nb= sp;          Sigma1 

      CARD  COLS.  DESCRIPTION        =             &nb= sp;            =           Sigma1 

      ----  -----  -----------        =             &nb= sp;              =         Sigma1 

         1   1-11  SELECTION CRITERIA (0=3DMAT, 1=3DZ= A)        =             &nb= sp; Sigma1 

        =     12-22  MONITOR MODE SELECTOR        =             &nb= sp;            Sigma1 

        =            =3D 0 - NORMAL OPERATION        =             &nb= sp;           Sigma= 1 

        =            =3D 1 - MONITOR PROGRESS OF DOPPLER BROADENING OF DATA. Sigma1 

        =             &nb= sp;    EACH TIME A PAGE OF DATA POINTS IS WRITTEN TO   Sigma1 

        =             &nb= sp;    THE SCRATCH FILE PRINT OUT THE TOTAL NUMBER OF  Sigma1 

        =             &nb= sp;    POINTS ON SCRATCH AND THE LOWER AND UPPER       Sigma1 

        =             &nb= sp;    ENERGY LIMITS OF THE PAGE (THIS OPTION MAY BE   Sigma1 

        =             &nb= sp;    USED IN ORDER TO MONITOR THE EXECUTION SPEED    Sigma1 

             =             OF LONG RUNNING JOBS).        =             &nb= sp;     Sigma1 

        =     23-33  KELVIN TEMPERATURE        =             &nb= sp;            =    Sigma1 

        =     34-44  MINIMUM CROSS SE= CTION OF INTEREST     &= nbsp;           &nbs= p;   Sigma1 

        =            (DEF= AULT VALUE =3D 1.0E-10 BARNS).        =             &nb= sp; Sigma1 

        =     45-55  NEGATIVE CROSS S= ECTION TREATMENT     &nb= sp;            =     Sigma1 

        =            =3D 0 - O.K. - NO CHANGE        =             &nb= sp;           Sigma1 

        =            =3D 1 - SET =3D 0        =             &nb= sp;            =         Sigma1 

        =     56-66  UNRESOLVED RESON= ANCE REGION TREATMENT    &n= bsp;            Sigma1 

        =            =3D 0 - COPY (NO BROADENING)        =             &nb= sp;       Sigma1 

        =            =3D 1 - IGNORE (BROADEN)        =             &nb= sp;           Sigma1 

         2   1-60  ENDF/B INPUT DATA FILENAME        =             &nb= sp;       Sigma1 

        =            (STANDARD OPTION =3D ENDFB.IN)        =             &nb= sp;     Sigma1 

         3   1-60  ENDF/B OUTPUT DATA FILENAME        =             &nb= sp;      Sigma1 

        =            (STANDARD OPTION =3D ENDFB.OUT)        =             &nb= sp;    Sigma1 

       4-N<= span style=3D'mso-spacerun:yes'>   1-11  LOWER MAT OR ZA LIMIT        =             &nb= sp;            Sigma1 

        =     12-22  UPPER MAT OR ZA LIMIT      &= nbsp;                =           Sigma1 

        =            UP TO 100 MAT OR ZA RANGES MAY BE SPECIFIED, ONE      Sigma1 

        =            RANGE PER CARD. THE LIST OF RANGES IS TERMINATED BY   Sigma1 

        =            A BLANK CARD. IF THE UPPER LIMIT IS LESS THAN THE     Sigma1 

        =            LOWER LIMIT THE UPPER LIMIT WILL BE SET EQUAL TO THE  Sigma1 

        =            LOWER LIMIT. IF THE FIRST REQUEST CARD IS BLANK IT    Sigma1 

        =            WILL TERMINATE THE LIST OF REQUESTS AND CAUSE ALL     Sigma1 

        =            DATA TO BE RETRIEVED (SEE EXAMPLE INPUT).        =      Sigma1 

       VARY=   1-11  ENERGY FOR ERROR LAW        =             &nb= sp;             Sigma1 

        =     12-22  ERROR FOR ERROR LAW        =             &nb= sp;            =   Sigma1 

           =         THE ACCEPTABLE LINEARIZING ERROR CAN BE GIVEN AS AN   Sigma1 

        =            ENERGY DEPENDENT FUNCTION SPECIFIED BY UP TO 20       Sigma1 

        =            (ENERGY,ERROR) PAIRS AND LINEAR INTERPOLATION         Sigma1 

        =            TABUL= ATE POINTS. ENERGIES MUST BE IN ASCENDING ORDER. Sigma1 

        =            THE ERROR LAW IS TERMINATED BY A BLANK CARD. IF THE   Sigma1 

        =            FIRST ERROR LAW CARD IS BLANK IT WILL TERMINATE THE   Sigma1 

        =            ERROR LAW AND THE ERROR WILL BE TREATED AS ENERGY     Sigma1 

        =            INDEPENDENT, EQUAL TO ZERO, WHICH INDICATES THAT THE  Sigma1 

        =            BROADENED DATA SHOULD NOT BE THINNED.        =          Sigma1 

        =             &nb= sp;                    =             &nb= sp;            =        Sigma1 

      EXAMPLE IN= PUT NO. 1        =             &nb= sp;            =             &nb= sp;  Sigma1 

      -------------------        =             &nb= sp;            =             &nb= sp;  Sigma1 

      BROADEN ALL URANIUM ISOTOPES AND THORIUM-232 TO 300 KELVIN. FROM   Sigma1 

<= /p>

      0 TO 100 E= V THIN OUTPUT DATA TO 0.1 PER-CENT ACCURACY. FROM 100 EV Sigma1 

      TO 1 KEV V= ARY THE ERROR BETWEEN 0.1 AND 1 PER-CENT. ABOVE 1 KEV    Sigma1 

      USE 1 PER-= CENT ACCURACY.        =             &nb= sp;         =             &nb= sp;Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      EXPLICITLY SPECIFY THE STANDARD FILENAMES.        =             &nb= sp;    Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             =    Sigma1 

      THE FOLLOW= ING 11 CARDS ARE REQUIRED        =             &nb= sp;           Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

        =    1        =   0 3.00000+ 2    = ;            &n= bsp;            = ;          Sigma1 

  ENDFB.IN        =             &nb= sp;            =             &nb= sp;            =      Sigma1 

  ENDFB.OUT        =             &nb= sp;            =             &nb= sp;            =     Sigma1 

       9200= 0      92999        =             &nb= sp;            =             &nb= sp;    Sigma1 

       9023= 2        =        (UPPER LIMIT WILL AUTOMATICALLY BE DEFINED)   Sigma1 

        =             &nb= sp;      (BLANK CARD INDICATES END OF REQUEST LIST)    Sigma1 

  0.00000+ 0 1.00000-03        =             &nb= sp;            =             &nb= sp;    Sigma1 

  1.00000+ 2 1.00000-03        =             &nb= sp;            =             &nb= sp;    Sigma1 

  1.00000+ 3 1.00000-02        =             &nb= sp;            =             &nb= sp;    Sigma1 

  1.00000+ 9 1.00000-02        =             &nb= sp;            =             &nb= sp;    Sigma1 

        =                    (BLANK CARD INDICATES END OF ERROR LAW)       Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      EXAMPLE IN= PUT NO. 2        =             &nb= sp;            =             &nb= sp;  Sigma1 

      -------------------             =             &nb= sp;            =           Sigma1 

      BROADEN AL= L DATA TO 300 KELVIN AND DO NOT THIN THE BROADEN DATA.   Sigma1 

      ALL OF THE STANDARD OPTION MAY BE INVOKED MERELY BY SPECIFYING     Sigma1 

      THE KELVIN TEMPERATURE ON THE FIRST CARD. ALL OTHER FIELDS MAY     Sigma1 

      BE LEFT BLANK.        =             &nb= sp;            =             &nb= sp;       Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      LEAVE THE DEFINITION OF THE FILENAMES BLANK - THE PROGRAM WILL     Sigma1 

      THEN USE STANDARD FILENAMES.        =             &nb= sp;            =       Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      THE FOLLOW= ING 5 CARDS ARE REQUIRED        =                     =      Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

        =             &nb= sp;   3.00000+ 2        =             &nb= sp;            =       Sigma1 

        =             &nb= sp;   (USE STANDARD FILENAME =3D ENDFB.IN)        =        Sigma1 

        =             &nb= sp;   (USE STANDARD FILENAME =3D ENDFB.OUT)            &= nbsp; Sigma1 

        =             &nb= sp;   (RETRIEVE ALL DATA, TERMINATE REQUEST LIST)      Sigma1 

        =             &nb= sp;   (0.0 ALLOWABLE ERROR, TERMINATE ERROR LAW)       Sigm= a1  

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

      EXAMPLE IN= PUT NO. 3        =             &nb= sp;            =             &nb= sp;  Sigma1 

      -------------------        =             &nb= sp;            =             &nb= sp;  Sigma1 

      THE SAME AS ABOVE, ONLY DEFINE THE MINIMUM CROSS SECTION OF        Sigma1 

      INTEREST T= O BE 1.0E-30 BARNS (INSTEAD OF THE DEFAULT VALUE OF      Sigma1 

      1.0E-10).<= span style=3D'mso-spacerun:yes'>        =             &nb= sp;            =             &nb= sp;            Sigma1 

        =                   =             &nb= sp;            =             &nb= sp;         Sigma1 

      READ ENDF/= B DATA FROM \ENDFB6\RECENT\ZA092238 AND WRITE ENDF/B     Sigma1 

      DATA TO \ENDFB\SIGMA1\ZA092238        =             &nb= sp;            =     Sigma1 

        =             &nb= sp;               =             &nb= sp;            =             Sigma1 

      THE FOLLOW= ING 5 CARDS ARE REQUIRED        =             &nb= sp;            Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

        =             &nb= sp;   3.00000+ 2 1.00000-30        =             &nb= sp;       Sigma1 

  \ENDFB6\RECENT\ZA092238        =             &nb= sp;            =             &nb= sp;  Sigma1 

  \ENDFB6\SIGMA1\ZA092238        =             &nb= sp;            =             &nb= sp;  Sigma1 

        =             &nb= sp;   (RETRIEVE ALL DATA, TERMINATE REQUEST LIST)      Sigma1 

        =             &nb= sp;   (0.0 ALLOWABLE ERROR, TERMINATE ERROR LAW)       Sigma1 

        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;  Sigma1 

 =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D=3D= =3D=3D=3D=3D=3D=3D=3D=3D=3D=3D Sigma1