24-Cr- 53 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.40530E+4 5.24860E+1 2 0 0 42434 1451 1 0.0 0.0 0 0 0 62434 1451 2 1.00000E+0 1.50000E+8 8 0 10 62434 1451 3 6.00000E+2 0.0 1 0 390 1012434 1451 4 24-Cr- 53 LANL,ORNL EVAL-OCT97 S.CHIBA,M.CHADWICK,K.SHIBATA 2434 1451 5 Ch97,Ch99 DIST-SEP 1 REV3- 20010926 2434 1451 6 ----ENDF/B-VI MATERIAL 2434 REVISION 2 2434 1451 7 -----INCIDENT NEUTRON DATA 2434 1451 8 ------ENDF-6 FORMAT 2434 1451 9 2434 1451 10 ******************************************************************2434 1451 11 2434 1451 12 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2434 1451 13 P.G. Young (LANL) 2434 1451 14 2434 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2434 1451 16 MT 102) has been updated for new experimental data at incident 2434 1451 17 neutron energies up to 1 keV. 2434 1451 18 The previous (MOD 3) pure continuum at thermal neutron energy 2434 1451 19 is replaced by 89 discrete photons. 2434 1451 20 The MF=12, MT=102 yields from 1-100 keV were adjusted slightly 2434 1451 21 to force energy conservation. 2434 1451 22 The Q-value for radiative capture was also updated in File 3. 2434 1451 23 Details of these changes are described in Frankel et al. [Fr01]. 2434 1451 24 2434 1451 25 **************************************************************** 2434 1451 26 2434 1451 27 ENDF/B-VI MOD 3 Evaluation, October 1997, S. Chiba, 2434 1451 28 M.B. Chadwick, and P.G. Young (LANL) 2434 1451 29 2434 1451 30 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2434 1451 31 in cooperation with ECN Petten. 2434 1451 32 2434 1451 33 This evaluation provides a complete representation of the 2434 1451 34 nuclear data needed for transport, damage, heating, 2434 1451 35 radioactivity, and shielding applications over the incident 2434 1451 36 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2434 1451 37 here is divided into the region below and above 20 MeV. 2434 1451 38 2434 1451 39 INCIDENT NEUTRON ENERGIES < 20 MeV 2434 1451 40 2434 1451 41 Below 20 MeV the evaluation is based completely on the ENDF/B- 2434 1451 42 VI.5 (Release 2) evaluation by D. Hetrick, D. Larson, N. Larson, 2434 1451 43 and C. Y. Fu. 2434 1451 44 2434 1451 45 INCIDENT NEUTRON ENERGIES > 20 MeV 2434 1451 46 2434 1451 47 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2434 1451 48 includes cross sections and energy-angle data for all 2434 1451 49 significant reactions. The present evaluation utilizes a more 2434 1451 50 compact composite reaction spectrum representation above 20 MeV 2434 1451 51 in order to reduce the length of the file. No essential data for 2434 1451 52 applications is lost with this representation. 2434 1451 53 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2434 1451 54 all reaction data. Production cross sections and emission 2434 1451 55 spectra are given for neutrons, protons, deuterons, tritons, 2434 1451 56 alpha particles, gamma rays, and all residual nuclides produced 2434 1451 57 (A>5) in the reaction chains. To summarize, the ENDF sections 2434 1451 58 with non-zero data above En = 20 MeV are: 2434 1451 59 2434 1451 60 MF=3 MT= 1 Total Cross Section 2434 1451 61 MT= 2 Elastic Scattering Cross Section 2434 1451 62 MT= 3 Nonelastic Cross Section 2434 1451 63 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2434 1451 64 2434 1451 65 MF=4 MT= 2 Elastic Angular Distributions 2434 1451 66 2434 1451 67 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2434 1451 68 Distributions for Emission Neutrons, Protons, 2434 1451 69 Deuterons, Tritons, and Alphas; and Angle- 2434 1451 70 Integrated Spectra for Gamma Rays and Residual 2434 1451 71 Nuclei That Are Stable Against Particle Emission 2434 1451 72 2434 1451 73 The evaluation is based on nuclear model calculations that 2434 1451 74 have been benchmarked to experimental data, especially for n + 2434 1451 75 Cr52 and p + Cr52 reactions [Ch97]. We use the GNASH code system 2434 1451 76 [Yo92], which utilizes Hauser-Feshbach statistical, 2434 1451 77 preequilibrium and direct-reaction theories. Spherical optical 2434 1451 78 model calculations are used to obtain particle transmission 2434 1451 79 coefficients for the Hauser-Feshbach calculations, as well as 2434 1451 80 for the elastic neutron angular distributions. 2434 1451 81 Cross sections and spectra for producing individual residual 2434 1451 82 nuclei are included for reactions. The energy-angle-correlations 2434 1451 83 for all outgoing particles are based on Kalbach systematics 2434 1451 84 [Ka88]. 2434 1451 85 A model was developed to calculate the energy distributions of 2434 1451 86 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2434 1451 87 energy distributions are represented in the laboratory system in 2434 1451 88 MT=5, MF=6, and are given as isotropic in the lab system. All 2434 1451 89 other data in MT=5,MF=6 are given in the center-of-mass system. 2434 1451 90 This method of representation utilizes the LCT=3 option approved 2434 1451 91 at the November, 1996, CSEWG meeting. 2434 1451 92 Preequilibrium corrections were performed in the course of the 2434 1451 93 GNASH calculations using the exciton model of Kalbach [Ka77, 2434 1451 94 Ka85], validated by comparison with calculations using Feshbach, 2434 1451 95 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2434 1451 96 nuclear data sheets were matched to continuum level densities 2434 1451 97 using the formulation of Ignatyuk et al. [Ig75] and pairing and 2434 1451 98 shell parameters from the Cook [Co67] analysis. Neutron and 2434 1451 99 charged- particle transmission coefficients were obtained from 2434 1451 100 the optical potentials, as discussed below. Gamma-ray 2434 1451 101 transmission coefficients were calculated using the Kopecky-Uhl 2434 1451 102 model [Ko90]. 2434 1451 103 2434 1451 104 SOME Cr-SPECIFIC INFORMATION CONCERNING THE EVAL. 2434 1451 105 2434 1451 106 The neutron total cross section was evaluated at energy grid 2434 1451 107 points by using the least-squares code GMA [Po81] taking account 2434 1451 108 of the new data measured by Dietrich et al. for natural Cr [Di97].2434 1451 109 The results were transformed to the Cr-53 cross section according 2434 1451 110 to the A*(2/3) law, i.e., by multiplying by a factor of 1.012076. 2434 1451 111 2434 1451 112 The neutron optical model potential derived for n + Cr-52 was 2434 1451 113 used for calculation of DWBA cross sections. 2434 1451 114 2434 1451 115 The transmission coefficients calculated for the n + Cr-52 2434 1451 116 evaluation were employed for all the n + Cr-50 evaluation 2434 1451 117 channels, by multiplying by a factor of 1.01278, i.e., a ratio of 2434 1451 118 A**(2/3) between Cr-53 and Cr-52. 2434 1451 119 2434 1451 120 The Cr-52 transmission coefficients were calculated by using the2434 1451 121 following potentials: 2434 1451 122 2434 1451 123 For the neutron channel, the newly-searched potential for n + 2434 1451 124 Cr-52, as described in File 1 of the n + Cr-52 evaluation, was 2434 1451 125 used. 2434 1451 126 2434 1451 127 For the proton channel, a combination of 2 potentials was used :2434 1451 128 2434 1451 129 below 40 MeV : Becchetti-Greenlees [Be69] 2434 1451 130 above 40 MeV : Madland medium energy potential [Ma88] 2434 1451 131 2434 1451 132 The proton reaction cross section and transmission coefficients 2434 1451 133 below 40 MeV were multiplied by a factor of 0.845 to make the 2434 1451 134 agreement with the measured proton reaction cross section [Ca96] 2434 1451 135 better, and also to make the connection to higher energy values 2434 1451 136 smoothly. 2434 1451 137 2434 1451 138 For deuterons, the Lohr-Haeberli [Lo74] global potential was 2434 1451 139 used; for alpha particles the McFadden-Satchler [Mc66] potential 2434 1451 140 was used; and for tritons the Becchetti-Greenlees [Be71] potential2434 1451 141 was used. The He-3 channel was ignored. 2434 1451 142 2434 1451 143 No direct collective inelastic scattering was considered. 2434 1451 144 2434 1451 145 **************************************************************** 2434 1451 146 2434 1451 147 ENDF/B-VI MOD 2 Revision, July 1991, D. Hetrick (ORNL) 2434 1451 148 2434 1451 149 REVISION 1 CHANGES 2434 1451 150 The secondary particle distributions for MF=6, MT=51-63 were 2434 1451 151 corrected-to-center of mass from laboratory coordinates. 2434 1451 152 The elastic transformation matrix was removed. 2434 1451 153 2434 1451 154 **************************************************************** 2434 1451 155 2434 1451 156 ENDF/B-VI MOD 1 Evaluation, November 1989, D. Hetrick, 2434 1451 157 D.C. Larson, N.M. Larson, and C.Y. Fu (ORNL) 2434 1451 158 2434 1451 159 This work employed nuclear model codes including the 2434 1451 160 Distorted Wave Born Approximation (DWBA) Program DWUCK [Ku72] 2434 1451 161 and the Hauser-Feshbach code TNG [Fu88,Fu80,Sh86]. The TNG code 2434 1451 162 provides energy and angular distributions of particles emitted in 2434 1451 163 the compound and pre-compound reactions, ensures consistency among2434 1451 164 all reactions, and maintains energy balance. Details pertinent to 2434 1451 165 the contents of this evaluation and comparisons of calculations 2434 1451 166 with experimental data can be found in [Sh87] and [He87]. 2434 1451 167 2434 1451 168 DESCRIPTION OF FILES 2434 1451 169 (MF-MT) 2434 1451 170 1-451 GENERAL INFORMATION, REFERENCES AND DEFINITIONS. 2434 1451 171 2-151 RESONANCE PARAMETERS; USED TO PROVIDE THE TOTAL, 2434 1451 172 SCATTERING, AND CAPTURE CROSS SECTIONS FROM 1.E-5 EV TO 2434 1451 173 200 KEV. THE RESONANCE PARAMETERS ARE TAKEN PRIMARILY 2434 1451 174 FROM REF.[Br86] WITH HELP FROM BRUSEGAN ET AL. (PRIVATE 2434 1451 175 COMM., 1988). ADJUSTING OF REF. [Br86] PARAMETERS WAS 2434 1451 176 DONE AND A BACKGROUND FILE GIVEN IN 3/1 TO REPRODUCE 2434 1451 177 DATA OF REF. [Ha88]. 2434 1451 178 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2434 1451 179 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2434 1451 180 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2434 1451 181 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2434 1451 182 3-1 TOTAL CROSS SECTION; GIVEN BY RESONANCE PARAMETERS UP TO 2434 1451 183 200 KEV WITH NEGATIVE ENERGY RESONANCES ADJUSTED TO GIVE 2434 1451 184 MEASURED THERMAL SCATTERING AND CAPTURE CROSS SECTIONS. 2434 1451 185 A BACKGROUND FILE WAS REQUIRED FROM 20-200 KEV. 2434 1451 186 ABOVE 200 KEV, ISOTOPIC DATA USED TO 4.0 MEV (REF. [Ha88])2434 1451 187 AND FROM 4.0-20.0 MEV HIGH RESOLUTION 2434 1451 188 NAT CR TRANSMISSION MEASUREMENTS WERE USED 2434 1451 189 (D.C. LARSON, J.A. HARVEY, AND N.W. HILL, PRIVATE 2434 1451 190 COMM., 1988; DATA AVAILABLE AT NNDC). 2434 1451 191 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2434 1451 192 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2434 1451 193 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2434 1451 194 3-28, 3-102, 3-103, AND 3-107. 2434 1451 195 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2434 1451 196 .., 3-63, AND 3-91 2434 1451 197 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2434 1451 198 CODE. NO DATA AVAILABLE; HOWEVER, SEE REF [He87] 2434 1451 199 FOR COMPARISON TO NAT CR(N,2N) DATA. 2434 1451 200 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2434 1451 201 CODE. NO DATA AVAILABLE. 2434 1451 202 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2434 1451 203 CODE. SPARSE DATA AVAILABLE DISCREPANT. 2434 1451 204 3-51 TO 3-63 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2434 1451 205 FROM TNG WHICH INCLUDES DIRECT INTERACTION 2434 1451 206 CROSS SECTIONS FROM DWUCK [Ku72] CALCULATIONS. COMPARISONS2434 1451 207 TO MEASURED DATA SHOWN IN [Sh87]. 2434 1451 208 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2434 1451 209 CALCULATED). GUIDANCE FROM (N,XN) EMISSION DATA [He87]. 2434 1451 210 3-102 (N,G) CAPTURE CROSS SECTION; GIVEN BY RESONANCE PARAMETERS2434 1451 211 UP TO 200 KEV AND FROM 200 KEV TO 20 MEV, TNG CALC'S 2434 1451 212 WERE USED BUT NORMALIZED TO MEASURED AVE. CAPTURE BETWEEN 2434 1451 213 50 KEV AND 200 KEV. TNG CALCULATIONS INCLUDED A PRE- 2434 1451 214 COMPOUND COMPONENT AND WEIGHTED CROSS SECTIONS FROM ALL 2434 1451 215 ISOTOPES OF CR GIVE 0.82 MB AT 14.5 MEV, IN AGREEMENT WITH2434 1451 216 MEASUREMENT OF 0.75 MB FOR NAT CR. 2434 1451 217 3-103 (N,P) CROSS SECTIONS WERE CALCULATED BY THE TNG 2434 1451 218 CODE, BUT ADJUSTED BETWEEN EN OF 5.5 TO 10 MEV 2434 1451 219 TO FIT THE DATA OF SMITH ET AL. [Sm81]. 2434 1451 220 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2434 1451 221 TNG CODE. NO DATA AVAILABLE. 2434 1451 222 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2434 1451 223 ELASTIC SCATTERING ARE FROM ENDF/B-V. 2434 1451 224 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2434 1451 225 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2434 1451 226 PARAMETERS IN 2/151. 2434 1451 227 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2434 1451 228 NEUTRON AND 52CR RESIDUAL, AND ENERGY DEPENDENT YIELD 2434 1451 229 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2434 1451 230 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2434 1451 231 EACH PRODUCT. ISOTROPY IS ASSUMED. 2434 1451 232 6-22 (N,NA) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2434 1451 233 NEUTRON, ALPHA, AND 49TI RESIDUAL, AND ENERGY DEPENDENT 2434 1451 234 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2434 1451 235 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2434 1451 236 FOR EACH PRODUCT. ISOTROPY IS ASSUMED. 2434 1451 237 6-28 (N,NP) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2434 1451 238 NEUTRON AND 52V RESIDUAL, AND ENERGY DEPENDENT YIELD 2434 1451 239 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2434 1451 240 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2434 1451 241 EACH PRODUCT. ISOTROPY IS ASSUMED. 2434 1451 242 6-51 THROUGH 6-63 INELASTIC SCATTERING EXCITING LEVELS; 2434 1451 243 ASSUMED ISOTROPIC. 2434 1451 244 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2434 1451 245 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 53CR 2434 1451 246 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2434 1451 247 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2434 1451 248 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2434 1451 249 FOR EACH. ISOTROPY IS ASSUMED. 2434 1451 250 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2434 1451 251 AND 53V RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2434 1451 252 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2434 1451 253 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2434 1451 254 PRODUCT. ISOTROPY IS ASSUMED. 2434 1451 255 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2434 1451 256 AND 50TI RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2434 1451 257 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2434 1451 258 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2434 1451 259 PRODUCT. ISOTROPY IS ASSUMED. 2434 1451 260 12-51 THROUGH 12-63 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2434 1451 261 BY SHIBATA AND HETRICK [Sh87], ARE GIVEN. 2434 1451 262 12-102 (N,G) CAPTURE; TNG CALCULATED. 2434 1451 263 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2434 1451 264 ASSUMED TO BE ISOTROPIC. 2434 1451 265 15-102 (N,G) CAPTURE; TNG CALCULATED. 2434 1451 266 2434 1451 267 -------------------------------------------------------------- 2434 1451 268 UNCERTAINTY FILES 2434 1451 269 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2434 1451 270 REQUIRED BY ENDF/B-VI. 2434 1451 271 2434 1451 272 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 10 EV. FROM 10 2434 1451 273 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2434 1451 274 33-2 FROM 1.E-5 TO 10 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2434 1451 275 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 10 EV TO 2434 1451 276 20 MEV THE FILES ARE DERIVED. 2434 1451 277 33-3 FROM 1.E-5 TO 200 KEV UNCERTAINTIES ARE DERIVED. FROM 2002434 1451 278 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82434 1451 279 33-4 UNCERTAINTIES ARE ALL DERIVED. 2434 1451 280 33-16 UNCERTAINTIES FOR (N,2N) ARE EXPLICIT, ESTIMATED FROM TNG 2434 1451 281 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2434 1451 282 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM TNG 2434 1451 283 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2434 1451 284 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2434 1451 285 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2434 1451 286 ENERGIES, AND CALCULATED RESULTS ABOVE 200 KEV. 2434 1451 287 33-103 UNCERTAINTIES ESTIMATED FROM TNG. 2434 1451 288 33-107 UNCERTAINTIES ESTIMATED FROM TNG. 2434 1451 289 2434 1451 290 ***************************************************************** 2434 1451 291 2434 1451 292 REFERENCES 2434 1451 293 2434 1451 294 [Be69] F.D. Becchetti, Jr., and G.W. Greenlees, Phys.Rev. 182, 2434 1451 295 1190 (1969) 2434 1451 296 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees, "Polarization 2434 1451 297 Phenomena in Nuclear Reactions," (Ed: H.H. Barschall and 2434 1451 298 W. Haeberli, The University of Wisconsin Press, 1971) p.682 2434 1451 299 [Br86] A. Brusegan, R. Buyl, F.cCorvi, et al., Nuclear Data for 2434 1451 300 Basic and Applied Science, Proc.Conf., Santa Fe, NM, 1985, 2434 1451 301 Vol. 1 (Gordon and Breach, 1986) p. 633 2434 1451 302 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2434 1451 303 93 (1996) 2434 1451 304 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev.C 47, 2255 (1993) 2434 1451 305 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2434 1451 306 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2434 1451 307 Driven Technologies: Calculational Method for Heavy Recoils," 2434 1451 308 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2434 1451 309 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2434 1451 310 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2434 1451 311 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2434 1451 312 September 1997, internal Los Alamos National Laboratory memo T-2434 1451 313 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2434 1451 314 [Ch99] M.B. Chadwick, P G. Young, G. M. Hale, et al., Los Alamos 2434 1451 315 National Laboratory report, LA-UR-99-1222 (1999) 2434 1451 316 [Co67] J.L. Cook, H. Ferguson, and A.R. deL Musgrove, Aust.J. 2434 1451 317 Phys. 20, 477 (1967) 2434 1451 318 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2434 1451 319 391 (1989) 2434 1451 320 [Di97] F. Dietrich et al., private communication (1997). 2434 1451 321 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2434 1451 322 National Laboratory Report, LA-13812 (2001). 2434 1451 323 [Fu88] C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) and Nucl. 2434 1451 324 Sci.Eng. 100, 61 (1988) 2434 1451 325 [Fu80] C.Y Fu, Symp.Neutron Cross Sections from 10 to 50 MeV, 2434 1451 326 Upton, NY, 1980, Brookhaven report BNL-NCS-51425, p. 675 2434 1451 327 [Ha88] J.A. Harvey, private communication of ORELA 53Cr+n (1988) 2434 1451 328 [He87] D.M. Hetrick, C.Y. Fu and D.C. Larson, Oak Ridge report 2434 1451 329 ORNL/TM-10417 [ENDF-346] (1987) 2434 1451 330 [Ig75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov.J. 2434 1451 331 Nucl.Phys. 21, 255 (1975); translation of Yad.Fiz. 21, 485 2434 1451 332 (1975) 2434 1451 333 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2434 1451 334 [Ka85] C. Kalbach, Los Alamos report LA-10248-MS (1985) 2434 1451 335 [Ka88] C. Kalbach, Phys.Rev. C 37, 2350 (1988); see also 2434 1451 336 C. Kalbach and F.M. Mann, Phys.Rev. C 23, 112 (1981) 2434 1451 337 [Ki74] W.E. Kinney et al., ORNL-4806 (1974). 2434 1451 338 [Ku72] P.D. Kunz, "Distorted Wave Code DWUCK72," Univ. of 2434 1451 339 Colorado, unpublished (1972). 2434 1451 340 [Ko90] J. Kopecky and M. Uhl, Phys.Rev. C 41, 1941 (1990) 2434 1451 341 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232,381(1974) 2434 1451 342 [Ma88] D.G. Madland, Proc. OECD/NEANDC Specialist's Meeting on 2434 1451 343 Preequilibrium Nuclear Reactions, Semmering, Austria, Feb. 2434 1451 344 1988, NEANDC-245 (1988) p.103 2434 1451 345 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2434 1451 346 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2434 1451 347 Cross Sections", Vol.1, Part A, (Academic Press, 1981) 2434 1451 348 [Ol87] N. Olsson et al, Nucl.Phys. A472, 237 (1987) 2434 1451 349 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2434 1451 350 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2434 1451 351 51363, Vol.1 (1981) p.249 2434 1451 352 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2434 1451 353 Theorique, Saclay, France (private communication through A.J. 2434 1451 354 Koning, 1996) 2434 1451 355 [Sh86] K. Shibata and C.Y. Fu, Oak Ridge report ORNL/TM-10093 2434 1451 356 (1986) 2434 1451 357 [Sh87] K. Shibata and D.M. Hetrick, Oak Ridge report 2434 1451 358 ORNL/TM-10381 [ENDF-345] (1987) 2434 1451 359 [Sm81] D.L. Smith, J.W. Meadows, and F.F. Porta, Nucl.Sci.Eng., 2434 1451 360 78, 420 (1981) 2434 1451 361 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2434 1451 362 in Nuclear Science and Technology" (American Nuclear Society, 2434 1451 363 1991) 2434 1451 364 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, report 2434 1451 365 LA-12343-MS (1992) 2434 1451 366 2434 1451 367 ************************ C O N T E N T S *********************** 2434 1451 368 ***************** Program LINEAR (VERSION 2004-1) ***************2434 1451 369 For All Data Greater than 1.0000E-10 barns in Absolute Value 2434 1451 370 Data Linearized to Within an Accuracy of .100000000 per-cent 2434 1451 371 ***************** Program RECENT (VERSION 2004-1) ***************2434 1451 372 for All Data Greater than 1.0000E-10 barns in Absolute Value 2434 1451 373 Data Linearized to within an Accuracy of .100000000 per-cent 2434 1451 374 ***************** Program SIGMA1 (VERSION 2004-1) ***************2434 1451 375 Data Doppler Broadened to 600.000000 Kelvin 2434 1451 376 for All Data Greater than 1.0000E-10 barns in Absolute Value 2434 1451 377 Data Linearized to Within an Accuracy pf .100000000 per-cent 2434 1451 378 ***************** Program FIXUP (Version 2004-1) ****************2434 1451 379 Corrected ZA/AWR in All Sections-----------------------------Yes 2434 1451 380 Corrected Thresholds-----------------------------------------No 2434 1451 381 Extended Cross Sections to 20 MeV----------------------------No 2434 1451 382 Allow Cross Section Deletion---------------------------------No 2434 1451 383 Allow Cross Section Reconstruction---------------------------Yes 2434 1451 384 Make All Cross Sections Non-Negative-------------------------Yes 2434 1451 385 Delete Energies Not in Ascending Order-----------------------Yes 2434 1451 386 Deleted Duplicate Points-------------------------------------Yes 2434 1451 387 Check for Ascending MAT/MF/MT Order--------------------------Yes 2434 1451 388 Check for Legal MF/MT Numbers--------------------------------Yes 2434 1451 389 Allow Creation of Missing Sections---------------------------No 2434 1451 390 Allow Insertion of Energy Points-----------------------------No 2434 1451 391 Create Uniform Energy Grid-----------------------------------No 2434 1451 392 Delete Section if Cross Section =0 at All Energies-----------Yes 2434 1451 393 **************** Program DICTIN (VERSION 2004-1) ****************2434 1451 394 1 451 495 42434 1451 395 2 151 137 12434 1451 396 3 1 10091 32434 1451 397 3 2 4509 32434 1451 398 3 3 5749 32434 1451 399 3 4 19 12434 1451 400 3 5 9 32434 1451 401 3 16 8 22434 1451 402 3 22 6 22434 1451 403 3 28 6 22434 1451 404 3 51 14 22434 1451 405 3 52 14 22434 1451 406 3 53 14 22434 1451 407 3 54 13 22434 1451 408 3 55 13 22434 1451 409 3 56 13 22434 1451 410 3 57 12 22434 1451 411 3 58 12 22434 1451 412 3 59 12 22434 1451 413 3 60 12 22434 1451 414 3 61 12 22434 1451 415 3 62 12 22434 1451 416 3 63 12 22434 1451 417 3 91 12 22434 1451 418 3 102 5730 42434 1451 419 3 103 12 22434 1451 420 3 107 15 22434 1451 421 4 2 4248 32434 1451 422 6 5 12668 32434 1451 423 6 16 289 22434 1451 424 6 22 249 22434 1451 425 6 28 233 22434 1451 426 6 51 7 22434 1451 427 6 52 7 22434 1451 428 6 53 7 22434 1451 429 6 54 7 22434 1451 430 6 55 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31596.2332 9.36784693 31596.7704 9.426032682434 3 1 1885 31597.3077 9.48490083 31597.4071 9.49592873 31597.8449 9.562657422434 3 1 1886 31598.3821 9.64535490 31598.8397 9.71656524 31598.9193 9.732595372434 3 1 1887 31599.4566 9.84178559 31599.9142 9.93569735 31599.9938 9.955825882434 3 1 1888 31600.3519 10.0470246 31600.9091 10.1900342 31600.9886 10.21064462434 3 1 1889 31601.4662 10.3603211 31602.0034 10.5301781 31602.0233 10.53766942434 3 1 1890 31602.5804 10.7490608 31603.0181 10.9165476 31603.1375 10.97030462434 3 1 1891 31603.6946 11.2230179 31604.0329 11.3776893 31604.2517 11.49395602434 3 1 1892 31604.8088 11.7920761 31605.0476 11.9208784 31605.4655 12.17949342434 3 1 1893 31606.0624 12.5517109 31606.1221 12.5941727 31606.7787 13.06436002434 3 1 1894 31607.1965 13.3655795 31607.4353 13.5604846 31608.0919 14.09955942434 3 1 1895 31608.3904 14.3461314 31608.8480 14.7664502 31609.5842 15.44671812434 3 1 1896 31609.7433 15.6065261 31610.7781 16.6518565 31610.8178 16.69486232434 3 1 1897 31612.0117 17.9941504 31612.7677 18.8189229 31614.3595 20.58208762434 3 1 1898 31614.7972 21.0650085 31615.7125 22.0079839 31616.2696 22.57812752434 3 1 1899 31616.5084 22.7942122 31617.2645 23.4731055 31617.4635 23.65017392434 3 1 1900 31617.9808 24.0472326 31618.2594 24.2585540 31618.6812 24.52025212434 3 1 1901 31619.3099 24.9040886 31619.3656 24.9301194 31619.9625 25.20203812434 3 1 1902 31620.1854 25.2733913 31620.7903 25.4588277 31620.9813 25.48567472434 3 1 1903 31621.6180 25.5671775 31621.6881 25.5755132 31621.9491 25.57674522434 3 1 1904 31622.0000 25.5712365 31622.7004 25.4886406 31622.8278 25.47210402434 3 1 1905 31623.3371 25.3271930 31623.5281 25.2706151 31624.0535 25.02997742434 3 1 1906 31624.5469 24.7987002 31624.6345 24.7419700 31625.3189 24.29202262434 3 1 1907 31625.5816 24.1167146 31626.0193 23.7508338 31626.7356 23.14559322434 3 1 1908 31626.7753 23.1117275 31627.4917 22.3967621 31627.9692 21.91620212434 3 1 1909 31628.6855 21.1116252 31629.6405 20.0319916 31630.1181 19.46634012434 3 1 1910 31632.5456 16.5859756 31632.9037 16.1625900 31633.5404 15.45077042434 3 1 1911 31634.0975 14.8302698 31634.2567 14.6647705 31635.1521 13.73823732434 3 1 1912 31635.2914 13.5948594 31635.9082 13.0050010 31636.0873 12.83462402434 3 1 1913 31636.5648 12.4104471 31636.8831 12.1292267 31637.2215 11.85544972434 3 1 1914 31637.8781 11.3274352 31637.9178 11.2957019 31638.5347 10.85233602434 3 1 1915 31638.8729 10.6108732 31639.1912 10.4074075 31639.7484 10.05359362434 3 1 1916 31639.8279 10.0034097 31640.3055 9.73553205 31640.7830 9.469417972434 3 1 1917 31640.8626 9.43021350 31641.4197 9.15772199 31641.7380 9.003051912434 3 1 1918 31641.9768 8.90152289 31642.5339 8.66633474 31642.7727 8.566188952434 3 1 1919 31643.0910 8.45165800 31643.6481 8.25264482 31643.9665 8.139650572434 3 1 1920 31644.1854 8.07382745 31644.7226 7.91343192 31645.1604 7.783567572434 3 1 1921 31645.2598 7.75853590 31645.7970 7.62421063 31646.3343 7.490732332434 3 1 1922 31646.3542 7.48581803 31646.8715 7.37693387 31647.4087 7.264578742434 3 1 1923 31647.5481 7.23559165 31647.9459 7.16453806 31648.4832 7.069152912434 3 1 1924 31648.7418 7.02349819 31649.0204 6.98174162 31649.5974 6.895787332434 3 1 1925 31650.2540 6.79856476 31650.3336 6.78684543 31650.9107 6.715222952434 3 1 1926 31651.5673 6.63421783 31651.9254 6.59026982 31652.2239 6.559802152434 3 1 1927 31652.8804 6.49316451 31653.5371 6.42683176 31654.1937 6.360794562434 3 1 1928 31654.3131 6.34882454 31654.6314 6.32240731 31655.5069 6.250044692434 3 1 1929 31656.3823 6.17803855 31656.5415 6.16499640 31657.2181 6.119237182434 3 1 1930 31658.0537 6.06295797 31658.8894 6.00687452 31659.4067 5.972268142434 3 1 1931 31659.7251 5.95536273 31660.8393 5.89644234 31661.9536 5.837750482434 3 1 1932 31662.2719 5.82104222 31663.0678 5.78974938 31664.1821 5.746110022434 3 1 1933 31665.1371 5.70883747 31665.2963 5.70470979 31666.4603 5.674669322434 3 1 1934 31667.6243 5.64475360 31668.0618 5.63355700 31669.1763 5.618829462434 3 1 1935 31670.7283 5.59848661 31670.9469 5.59564134 31672.2803 5.590377252434 3 1 1936 31672.8704 5.58809429 31673.8323 5.59265621 31675.3843 5.600123382434 3 1 1937 31676.7173 5.60661686 31676.9363 5.60967392 31678.7071 5.634492132434 3 1 1938 31680.6969 5.66248930 31682.4875 5.68777373 31682.6866 5.691725592434 3 1 1939 31684.6763 5.73130481 31686.6660 5.77095906 31688.6557 5.810678812434 3 1 1940 31690.6454 5.85045602 31692.6351 5.89028387 31694.4258 5.926173242434 3 1 1941 31695.1222 5.94181708 31697.3607 5.99215434 31699.5991 6.042532342434 3 1 1942 31702.5837 6.10976276 31705.5682 6.17704846 31708.5528 6.244385772434 3 1 1943 31711.5374 6.31176569 31714.5220 6.37918264 31717.5065 6.446629682434 3 1 1944 31721.4860 6.53660640 31722.2819 6.55461029 31725.4654 6.629716092434 3 1 1945 31729.4449 6.72363765 31733.4243 6.81758796 31737.4038 6.911567462434 3 1 1946 31741.3832 7.00556782 31745.3626 7.09958846 31751.1328 7.235951012434 3 1 1947 31756.5050 7.36293595 31761.8773 7.48994585 31767.2495 7.616972512434 3 1 1948 31774.4125 7.78636815 31777.7217 7.86463765 31781.5755 7.932527352434 3 1 1949 31784.6805 7.98723474 31788.7385 8.02502150 31791.0135 8.046210942434 3 1 1950 31795.0270 8.05795631 31795.9015 8.05606997 31803.0645 8.040633392434 3 1 1951 31811.0809 8.02337434 31813.8089 8.01484472 31824.5534 7.981271872434 3 1 1952 31835.2979 7.94771694 31846.0424 7.91417658 31856.7869 7.880647642434 3 1 1953 31871.9087 7.83347530 31879.4578 7.80993394 31887.8265 7.787982682434 3 1 1954 31903.7442 7.74624419 31907.7000 7.73587436 31919.6620 7.741967602434 3 1 1955 31936.3756 7.75049181 31953.8852 7.75943230 31971.3947 7.768381892434 3 1 1956 31988.9042 7.77734084 31991.1682 7.77850061 32008.8014 7.790078112434 3 1 1957 32016.3894 7.79506426 32019.9438 7.79198516 32029.0000 7.784145802434 3 1 1958 32035.0657 7.75641479 32043.4496 7.71809280 32050.1875 7.678650942434 3 1 1959 32061.5290 7.61227210 32072.8703 7.54590839 32080.4312 7.501675932434 3 1 1960 32088.5324 7.45429450 32093.9331 7.42271613 32099.3338 7.391146552434 3 1 1961 32104.7345 7.35958789 32110.1352 7.32804290 32114.1857 7.304395482434 3 1 1962 32118.2362 7.28075994 32122.2868 7.25713840 32125.1538 7.240429852434 3 1 1963 32128.1875 7.22276140 32131.2212 7.20510718 32134.2549 7.187470162434 3 1 1964 32137.2886 7.16985414 32139.5639 7.15665867 32141.8391 7.143480972434 3 1 1965 32143.7551 7.13240097 32144.1144 7.13161911 32146.3896 7.126692782434 3 1 1966 32147.9064 7.12342483 32149.5031 7.12000125 32151.0998 7.116597312434 3 1 1967 32152.6965 7.11321642 32154.2931 7.10986304 32155.1090 7.108166132434 3 1 1968 32155.8898 7.10981179 32157.0874 7.11236169 32158.2849 7.114937882434 3 1 1969 32159.4824 7.11754584 32160.6798 7.12019259 32161.7975 7.122707202434 3 1 1970 32162.6358 7.12462812 32163.4741 7.12658626 32164.3123 7.128590242434 3 1 1971 32165.1505 7.13065209 32165.7094 7.13206661 32166.2682 7.133519342434 3 1 1972 32166.7472 7.13480368 32166.8271 7.13546147 32167.3859 7.140116102434 3 1 1973 32167.9448 7.14483605 32168.3639 7.14842508 32168.7830 7.152063432434 3 1 1974 32169.2021 7.15575810 32169.6212 7.15951706 32170.0204 7.163165602434 3 1 1975 32170.4196 7.16688953 32170.8188 7.17069880 32171.2179 7.174603582434 3 1 1976 32171.6171 7.17861831 32172.0163 7.18275594 32172.3157 7.185949062434 3 1 1977 32172.6151 7.18922712 32172.9144 7.19259668 32173.1339 7.195141822434 3 1 1978 32173.2138 7.19721259 32173.5132 7.20508198 32173.8126 7.213070742434 3 1 1979 32174.1120 7.22118910 32174.4113 7.22944516 32174.7107 7.237856072434 3 1 1980 32175.0101 7.24643144 32175.3094 7.25518144 32175.6088 7.264125762434 3 1 1981 32175.9082 7.27327617 32176.1676 7.28138260 32176.3273 7.286495332434 3 1 1982 32176.4870 7.29497912 32176.8063 7.31222983 32177.1257 7.329795952434 3 1 1983 32177.4450 7.34768896 32177.7644 7.36594347 32178.0837 7.384572332434 3 1 1984 32178.4030 7.40360630 32178.6025 7.41576806 32178.7223 7.426417012434 3 1 1985 32179.0417 7.45526598 32179.3610 7.48459054 32179.6803 7.514427192434 3 1 1986 32179.9996 7.54480377 32180.3190 7.57575807 32180.6383 7.607298752434 3 1 1987 32180.9576 7.64904547 32181.3368 7.69947203 32181.6661 7.744042892434 3 1 1988 32181.9954 7.78936878 32181.9955 7.78938278 32182.3248 7.845115012434 3 1 1989 32182.7639 7.92069136 32183.0932 7.97834527 32183.3526 8.024553172434 3 1 1990 32183.5323 8.06207408 32183.9714 8.15532732 32184.4105 8.250182912434 3 1 1991 32184.5502 8.28085413 32184.8097 8.34567272 32185.3485 8.482393522434 3 1 1992 32185.7477 8.58550145 32185.8874 8.62640227 32186.4263 8.786577182434 3 1 1993 32186.9651 8.94903442 32187.3444 9.06493831 32187.5039 9.119097982434 3 1 1994 32188.3422 9.40768164 32188.9410 9.61668465 32189.1805 9.705829522434 3 1 1995 32190.6654 10.2647909 32192.2940 10.8785795 32192.7411 11.04486922434 3 1 1996 32193.2839 11.2336340 32194.0184 11.4839586 32194.1461 11.52282262434 3 1 1997 32194.9126 11.7496739 32195.2319 11.8413536 32195.5512 11.91744732434 3 1 1998 32196.2538 12.0780598 32196.4453 12.1198773 32196.8286 12.18078762434 3 1 1999 32197.5311 12.2846512 32197.6588 12.3019661 32198.1697 12.33720742434 3 1 2000 32198.8723 12.3767444 32198.9975 12.3776275 32199.1022 12.37753012434 3 1 2001 32199.7025 12.3525320 32200.2933 12.3205536 32200.3093 12.31865802434 3 1 2002 32200.9480 12.2356376 32201.4270 12.1673455 32201.7463 12.10446972434 3 1 2003 32202.4488 11.9576182 32203.1195 11.7778722 32203.7262 11.60994092434 3 1 2004 32203.8539 11.5692931 32204.6842 11.2983287 32205.0035 11.19195882434 3 1 2005 32205.6422 10.9592203 32208.7078 9.82671075 32209.2187 9.640195162434 3 1 2006 32209.6978 9.47634392 32210.4961 9.20737377 32210.8154 9.101368182434 3 1 2007 32211.1348 9.00621167 32211.7734 8.81906326 32212.3722 8.646569732434 3 1 2008 32212.4121 8.63524170 32212.7714 8.54734839 32213.1706 8.451038942434 3 1 2009 32213.5697 8.35610072 32213.9689 8.26247989 32214.0088 8.253255082434 3 1 2010 32214.3681 8.18429984 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21924.7943 .0025637202434 310221787 21930.6469 .002633526 21935.0364 .002698281 21939.9712 .0027878692434 310221788 21943.4428 .002864664 21946.9144 .002956132 21950.3860 .0030662502434 310221789 21952.9897 .003164286 21955.5934 .003278912 21958.1971 .0034141522434 310221790 21960.8008 .003575366 21962.5366 .003700775 21964.2724 .0038437432434 310221791 21965.7412 .003981063 21967.2100 .004136232 21968.6788 .0043126772434 310221792 21970.1475 .004514781 21971.6163 .004748373 21972.7179 .0049489132434 310221793 21973.8194 .005176174 21974.9210 .005436538 21976.0225 .0057390272434 310221794 21976.8237 .005992978 21977.6248 .006283554 21978.4260 .0066210072434 310221795 21978.9601 .006878751 21979.4942 .007168952 21980.0283 .0074984312434 310221796 21980.5624 .007875688 21981.0965 .008311278 21981.4971 .0086840322434 310221797 21981.8976 .009103399 21982.2982 .009577308 21982.6988 .0101146502434 310221798 21983.0994 .010725854 21983.4999 .011422791 21983.7670 .0119421022434 310221799 21984.0340 .012510133 21984.3010 .013132113 21984.5680 .0138135492434 310221800 21984.9019 .014758599 21985.2357 .015818632 21985.4861 .0166980082434 310221801 21985.7364 .017656414 21985.9868 .018701673 21986.2371 .0198405142434 310221802 21986.4875 .021081949 21986.7378 .022433632 21986.9882 .0239058632434 310221803 21987.2385 .025507263 21987.4890 .027250234 21987.7393 .0291429952434 310221804 21987.9897 .031199342 21988.2400 .033429859 21988.4904 .0358491742434 310221805 21988.7407 .038468804 21988.9911 .041304895 21989.2414 .0443698092434 310221806 21989.4918 .047681189 21989.7421 .051252107 21990.0259 .0556369572434 310221807 21990.2596 .059532285 21990.4933 .063699502 21990.7269 .0681508112434 310221808 21990.9606 .072904396 21991.1942 .077970709 21991.4279 .0833687132434 310221809 21991.6615 .089108434 21992.0120 .098397618 21992.3626 .1085457592434 310221810 21992.7130 .119591309 21993.0635 .131588917 21993.4140 .1445784622434 310221811 21993.6476 .153806165 21993.9815 .167812371 21994.3153 .1827991382434 310221812 21994.6491 .198793232 21994.9829 .215811888 21995.3167 .2338661412434 310221813 21995.6505 .252960120 21996.1512 .283540750 21996.5852 .3118971672434 310221814 21997.1193 .349059719 21997.6534 .388562530 21998.3210 .4408650742434 310221815 21999.0955 .504839779 22001.5523 .715705925 22002.3534 .7804606032434 310221816 22003.0477 .832106488 22003.6620 .873138010 22004.2227 .9059489842434 310221817 22004.7568 .932483826 22005.2375 .952025436 22005.7716 .9685510932434 310221818 22006.3191 .979517856 22006.9039 .984313919 22006.9963 .9844090712434 310221819 22007.5341 .981368065 22008.0415 .972926187 22008.5222 .9600674462434 310221820 22009.1364 .937074873 22009.6705 .911499852 22010.3114 .8746387512434 310221821 22010.9524 .831923434 22011.7001 .776103374 22012.5814 .7043261562434 310221822 22014.8646 .508086909 22015.6791 .440762507 22016.3467 .3884855962434 310221823 22016.8808 .349002974 22017.4149 .311859702 22017.9157 .2793068242434 310221824 22018.4164 .249050531 22018.7502 .230173831 22019.0840 .2123357882434 310221825 22019.4178 .195530805 22019.7516 .179746532 22020.0854 .1649645782434 310221826 22020.4109 .151492801 22020.7364 .138925361 22021.0618 .1272359512434 310221827 22021.3873 .116384679 22021.7128 .106340180 22022.0382 .0970682762434 310221828 22022.3637 .088525046 22022.6891 .080676696 22023.0146 .0734789312434 310221829 22023.3400 .066896703 22023.5569 .062830494 22023.8574 .0575972072434 310221830 22024.1578 .052803192 22024.4583 .048416129 22024.7587 .0444107172434 310221831 22025.0592 .040757063 22025.2845 .038233622 22025.5098 .0358833912434 310221832 22025.7351 .033696163 22025.9604 .031662125 22026.1858 .0297710482434 310221833 22026.4111 .028015594 22026.7115 .025869773 22027.0119 .0239289412434 310221834 22027.3124 .022174495 22027.6128 .020590780 22027.9132 .0191615682434 310221835 22028.2136 .017872401 22028.4807 .016832946 22028.7144 .0159987972434 310221836 22029.0649 .014867308 22029.4154 .013864531 22029.7659 .0129754182434 310221837 22030.1164 .012186492 22030.4669 .011485719 22030.8175 .0108622262434 310221838 22031.1679 .010307021 22031.5184 .009811202 22031.8689 .0093675362434 310221839 22032.1025 .009097556 22032.5699 .008611414 22033.0372 .0081875512434 310221840 22033.5045 .007815733 22033.9718 .007487541 22034.4392 .0071959332434 310221841 22035.1402 .006814947 22035.8411 .006488274 22036.5088 .0062169302434 310221842 22037.1764 .005976832 22038.1778 .005663042 22039.1793 .0053928452434 310221843 22040.1807 .005156730 22041.1821 .004947973 22042.5174 .0047039962434 310221844 22043.8526 .004491954 22045.1878 .004305926 22046.5230 .0041414992434 310221845 22047.9918 .003981509 22049.4606 .003839950 22051.6638 .0036561022434 310221846 22053.8669 .003500053 22056.0700 .003366301 22058.2731 .0032506822434 310221847 22061.2107 .003119274 22064.1482 .003008694 22067.0857 .0029146652434 310221848 22070.0232 .002833977 22073.6138 .002749930 22077.2043 .0026787592434 310221849 22082.5902 .002590725 22087.9760 .002519874 22095.1571 .0024449132434 310221850 22102.3382 .002386039 22109.5193 .002338969 22120.2909 .0022844052434 310221851 22127.4719 .002255289 22142.9523 .002206342 22158.4327 .0021707342434 310221852 22181.6533 .002133163 22214.1622 .002096480 22238.9308 .0020769042434 310221853 22288.4681 .002048926 22362.7741 .002021998 22486.6173 .0019953892434 310221854 22635.2293 .001980575 22734.3039 .001976811 22942.0035 .0019855452434 310221855 23151.6880 .002014507 23325.3040 .002055038 23455.5160 .0020969582434 310221856 23568.3664 .002141198 23691.2865 .002200767 23811.4288 .0022720202434 310221857 23914.5567 .002346044 24002.4064 .002421619 24072.6341 .0024942172434 310221858 24139.3895 .002579957 24176.3696 .002640837 24203.9746 .0026984092434 310221859 24224.6783 .002753934 24244.6007 .002823766 24257.6219 .0028847932434 310221860 24267.3878 .002943173 24277.1537 .003017969 24283.6643 .0030809782434 310221861 24291.0430 .003170935 24296.5771 .003256493 24302.1111 .0033639092434 310221862 24305.8004 .003451947 24309.4897 .003557546 24313.1790 .0036862062434 310221863 24316.4343 .003825063 24318.6045 .003934651 24320.7747 .0040613262434 310221864 24322.9449 .004209083 24325.1151 .004383232 24326.7428 .0045354352434 310221865 24328.3704 .004710598 24329.9981 .004914209 24331.1917 .0050858622434 310221866 24332.4939 .005299963 24333.7960 .005549198 24334.7726 .0057654182434 310221867 24335.7491 .006013614 24336.7258 .006302680 24337.3769 .0065239832434 310221868 24338.0279 .006773645 24338.6790 .007057880 24339.3300 .0073843492434 310221869 24339.9811 .007762921 24340.4694 .008088272 24340.9576 .0084559562434 310221870 24341.4188 .008848918 24341.8800 .009293636 24342.3412 .0097986002434 310221871 24342.8023 .010373495 24343.1482 .010857472 24343.4941 .0113925562434 310221872 24343.8400 .011984684 24344.1859 .012640395 24344.5318 .0133668742434 310221873 24344.8776 .014171742 24345.2235 .015064051 24345.5694 .0160529212434 310221874 24345.9153 .017148479 24346.2612 .018361662 24346.6070 .0197038312434 310221875 24346.9529 .021188368 24347.2988 .022828361 24347.6446 .0246375562434 310221876 24347.9905 .026632115 24348.3363 .028826784 24348.6076 .0306998882434 310221877 24348.8789 .032715069 24349.1502 .034880900 24349.4214 .0372052792434 310221878 24349.6927 .039698880 24349.9640 .042369987 24350.2353 .0452278122434 310221879 24350.5065 .048280466 24350.7778 .051539482 24351.0491 .0550130092434 310221880 24351.3204 .058710183 24351.7273 .064694067 24352.1342 .0712303292434 310221881 24352.5411 .078346386 24352.8775 .084685229 24353.2790 .0928094742434 310221882 24353.6805 .101558913 24354.0820 .110947838 24354.4835 .1209858592434 310221883 24354.8850 .131677259 24355.2865 .143020361 24355.6879 .1550038612434 310221884 24356.1708 .170250511 24356.7350 .189158211 24357.4404 .2143130312434 310221885 24358.1456 .240898349 24359.2308 .283808266 24360.9235 .3519777102434 310221886 24361.8784 .388606961 24362.7031 .417700663 24363.3541 .4383208762434 310221887 24363.9400 .454696068 24364.4392 .466778679 24365.0034 .4781433052434 310221888 24365.4809 .485716878 24366.0885 .492480718 24366.6701 .4958201732434 310221889 24367.0000 .496323237 24367.4861 .495220049 24368.0244 .4914543132434 310221890 24368.6494 .483812670 24369.1702 .474879392 24369.7779 .4617021062434 310221891 24370.4723 .443352117 24371.1234 .423367298 24371.8613 .3980422442434 310221892 24372.7294 .365517729 24374.2051 .306584232 24375.5072 .2544036702434 310221893 24376.3536 .221948821 24377.0590 .196356866 24377.6232 .1770497012434 310221894 24378.1381 .160432003 24378.6990 .143488421 24379.0729 .1328880112434 310221895 24379.4468 .122851967 24379.8207 .113382326 24380.1946 .1044765672434 310221896 24380.5685 .096128054 24380.9001 .089182053 24381.3340 .0807272472434 310221897 24381.6233 .075478121 24381.9125 .070531270 24382.2018 .0658740282434 310221898 24382.4911 .061498324 24382.7804 .057393850 24383.0696 .0535512142434 310221899 24383.3589 .049956811 24383.6482 .046600885 24383.9375 .0434722122434 310221900 24384.2267 .040560522 24384.5160 .037852618 24384.8052 .0353393132434 310221901 24385.0945 .033007978 24385.3837 .030849565 24385.6730 .0288521852434 310221902 24385.9623 .027006521 24386.2516 .025302813 24386.5408 .0237321872434 310221903 24386.8301 .022284544 24387.1194 .020951830 24387.4087 .0197258312434 310221904 24387.6979 .018599116 24387.9872 .017563522 24388.2765 .0166124752434 310221905 24388.5658 .015739407 24388.8550 .014938415 24389.2407 .0139718972434 310221906 24389.6264 .013110153 24390.0121 .012341685 24390.3978 .0116560812434 310221907 24390.7835 .011043949 24391.1692 .010496848 24391.5548 .0100073432434 310221908 24391.9213 .009589179 24392.4709 .009036814 24393.0205 .0085608562434 310221909 24393.5701 .008148633 24394.1197 .007789578 24394.6694 .0074748642434 310221910 24395.2190 .007197348 24395.9518 .006874905 24396.6846 .0065966302434 310221911 24397.4174 .006353802 24398.1503 .006139687 24399.2495 .0058614692434 310221912 24400.3487 .005623735 24401.4479 .005417612 24402.5471 .0052368102434 310221913 24403.9356 .005037625 24405.2470 .004873894 24407.2141 .0046637692434 310221914 24409.1811 .004487511 24411.1481 .004337950 24413.7708 .0041711742434 310221915 24416.3936 .004033600 24419.0163 .003918809 24421.6390 .0038221032434 310221916 24424.2617 .003739968 24427.6888 .003650203 24432.8293 .0035440452434 310221917 24437.9698 .003462932 24444.8239 .003382227 24451.6779 .0033238952434 310221918 24461.9590 .003264893 24472.2400 .003227818 24486.0632 .0031998852434 310221919 24500.0016 .003188564 24506.9708 .003187655 24533.5804 .0032010182434 310221920 24560.1900 .003231334 24590.6010 .003280773 24621.0120 .0033391622434 310221921 24661.5600 .003430062 24722.3820 .003590442 24762.9300 .0037123092434 310221922 24803.4780 .003847355 24844.0260 .003996916 24884.5740 .0041627902434 310221923 24925.1220 .004347264 24965.6700 .004553193 24985.9440 .0046637712434 310221924 25026.4920 .004908508 25067.0400 .005185173 25107.5880 .0054990712434 310221925 25137.9990 .005763942 25168.4100 .006059119 25198.8210 .0063893892434 310221926 25229.2320 .006760204 25259.6430 .007179808 25282.4513 .0075316182434 310221927 25305.2595 .007920605 25328.0678 .008352573 25350.8760 .0088330972434 310221928 25369.8829 .009277263 25388.8898 .009768851 25407.8967 .0103135212434 310221929 25426.9035 .010919474 25445.9104 .011596573 25464.9173 .0123567192434 310221930 25483.9242 .013214377 25502.9310 .014185992 25515.6023 .0149078212434 310221931 25528.2735 .015699129 25540.9448 .016567943 25553.6160 .0175245792434 310221932 25566.2873 .018581195 25578.9585 .019751999 25591.6298 .0210537332434 310221933 25604.3010 .022506100 25613.8045 .023708135 25623.3079 .0250193542434 310221934 25632.8114 .026452788 25642.3148 .028023228 25651.8182 .0297476022434 310221935 25661.3217 .031645234 25670.8251 .033738115 25680.3285 .0360513762434 310221936 25689.8320 .038613608 25699.3354 .041457131 25708.8389 .0446184832434 310221937 25718.3423 .048138346 25727.8457 .052061695 25737.3492 .0564372162434 310221938 25743.6848 .059630589 25750.0204 .063062969 25759.1437 .0684554112434 310221939 25767.5067 .073895033 25775.8698 .079833269 25784.2328 .0862826442434 310221940 25792.5958 .093236985 25800.9588 .100658812 25813.1232 .1121207112434 310221941 25833.3972 .131747822 25843.5342 .140842134 25851.1370 .1468468992434 310221942 25858.7397 .151836606 25863.8082 .154466704 25868.8767 .1564599042434 310221943 25873.9452 .157762876 25880.0274 .158365550 25886.8699 .1577666792434 310221944 25893.7124 .155850677 25900.8083 .152577516 25908.4110 .1478088922434 310221945 25916.0138 .141991288 25925.6439 .133560123 25952.2536 .1081833282434 310221946 25962.8974 .098483975 25970.8803 .091656460 25978.8632 .0852738642434 310221947 25986.8461 .079357236 25995.8427 .073246735 26005.3461 .0674129552434 310221948 26014.8495 .062178422 26024.3530 .057494417 26033.8564 .0533093262434 310221949 26043.3599 .049571990 26052.8633 .046234249 26062.3667 .0432534122434 310221950 26071.8702 .040593603 26081.3736 .038209899 26090.8770 .0360665302434 310221951 26102.2812 .033779931 26113.6853 .031766754 26125.0894 .0299910532434 310221952 26136.4935 .028422179 26147.8977 .027033999 26159.3018 .0258042572434 310221953 26170.7059 .024713908 26182.1100 .023746669 26197.3155 .0226246262434 310221954 26212.5210 .021668805 26228.5845 .020819902 26244.6479 .0201044462434 310221955 26260.7113 .019509012 26276.7747 .019019415 26298.7722 .0184990232434 310221956 26320.7695 .018129819 26335.4344 .017958237 26357.4318 .0178015582434 310221957 26379.4292 .017755290 26401.4267 .017810819 26423.4240 .0179617562434 310221958 26445.4214 .018204115 26467.4188 .018535448 26489.4162 .0189551542434 310221959 26511.4136 .019463803 26533.4110 .020063553 26555.4083 .0207575092434 310221960 26577.4058 .021551542 26606.7356 .022771823 26628.7330 .0238190652434 310221961 26650.7304 .024989456 26672.7277 .026292107 26694.7252 .0277382062434 310221962 26716.7225 .029339620 26738.7199 .031109717 26760.7173 .0330621292434 310221963 26782.7147 .035211409 26804.7121 .037571342 26826.7095 .0401552262434 310221964 26848.7068 .042973347 26869.6043 .045873849 26890.5018 .0489908362434 310221965 26919.0984 .053593845 26948.4282 .058670134 27021.7528 .0720023492434 310221966 27048.1497 .076478555 27067.9474 .079471196 27087.7451 .0820187942434 310221967 27107.5427 .084005209 27127.3403 .085331064 27146.0381 .0859127132434 310221968 27152.2707 .085955557 27167.3756 .085741107 27185.4134 .0849108982434 310221969 27201.8382 .083632122 27221.9292 .081467440 27241.7268 .0787847422434 310221970 27261.5244 .075672818 27294.5205 .069863793 27360.5126 .0576273492434 310221971 27388.3760 .052731647 27417.7058 .047932149 27440.0698 .0445500492434 310221972 27463.1671 .041318747 27486.2644 .038353250 27508.6285 .0357210412434 310221973 27530.6259 .033350811 27552.6232 .031183379 27574.6207 .0292038012434 310221974 27596.6180 .027396670 27618.6154 .025747395 27640.6128 .0242417982434 310221975 27662.6102 .022866984 27684.6076 .021610760 27706.6050 .0204622582434 310221976 27728.6023 .019411443 27756.0991 .018231792 27783.5958 .0171632822434 310221977 27801.9269 .016509915 27831.2568 .015561185 27860.5866 .0147142392434 310221978 27889.9165 .013957685 27919.2463 .013281720 27948.5762 .0126778952434 310221979 27977.9060 .012138960 28007.2359 .011658681 28036.5657 .0112317262434 310221980 28065.8956 .010853543 28095.2254 .010520274 28124.5553 .0102286762434 310221981 28168.5501 .009864683 28212.5448 .009579530 28256.5396 .0093725792434 310221982 28300.5344 .009237751 28344.5291 .009178887 28359.1940 .0091748702434 310221983 28388.5239 .009195125 28417.8537 .009252405 28447.1836 .0093498242434 310221984 28476.5134 .009491830 28505.8433 .009684756 28542.5056 .0100084042434 310221985 28564.5030 .010259662 28586.5004 .010563710 28608.4978 .0109329572434 310221986 28630.4952 .011386447 28645.1601 .011749398 28659.8250 .0121743182434 310221987 28674.4900 .012676206 28685.4887 .013122916 28696.4873 .0136463962434 310221988 28707.4860 .014268990 28717.1099 .014921204 28726.0464 .0156459072434 310221989 28732.0040 .016211440 28737.9617 .016862795 28743.9193 .0176248922434 310221990 28748.3875 .018289219 28752.8557 .019054705 28757.3239 .0199493422434 310221991 28760.2322 .020619829 28763.0700 .021358519 28765.9077 .0222010432434 310221992 28768.7455 .023176109 28770.8738 .024019332 28773.0021 .0249881522434 310221993 28775.1304 .026126338 28776.5493 .027015320 28777.9681 .0280514612434 310221994 28779.0323 .028961608 28780.0964 .030029017 28781.1605 .0313120432434 310221995 28781.8444 .032288279 28782.5027 .033372052 28783.1610 .0346307332434 310221996 28783.8193 .036105385 28784.4776 .037846439 28784.9713 .0393634932434 310221997 28785.4650 .041095295 28785.9588 .043077391 28786.4525 .0453490842434 310221998 28786.9462 .047956289 28787.4399 .050950434 28787.7691 .0531902072434 310221999 28788.0982 .055645519 28788.4274 .058337962 28788.7565 .0612873872434 310222000 28789.0857 .064518497 28789.4148 .068053663 28789.7440 .0719208102434 310222001 28790.0731 .076144776 28790.4023 .080756725 28790.7314 .0857837902434 310222002 28791.0606 .091260267 28791.3897 .097215265 28791.7189 .1036859572434 310222003 28792.0480 .110702933 28792.4138 .119188725 28792.7795 .1284422632434 310222004 28793.1452 .138515834 28793.5109 .149459759 28793.8767 .1613275432434 310222005 28794.2424 .174162146 28794.6081 .188014886 28794.9738 .2029321372434 310222006 28795.3396 .218962338 28795.7053 .236137490 28796.0710 .2544987212434 310222007 28796.4367 .274078325 28796.8025 .294909106 28797.1682 .3170004802434 310222008 28797.7168 .352543191 28798.3020 .393645029 28798.9055 .4394367732434 310222009 28799.5089 .488562660 28800.1124 .540843984 28800.7158 .5959832342434 310222010 28801.6119 .682345567 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