28-Ni- 58 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 28058.0000 57.4380000 2 0 0 42825 1451 1 0.0 0.0 0 0 0 62825 1451 2 1.00000000 150000000. 8 0 10 72825 1451 3 0.0 0.0 1 0 550 582825 1451 4 28-Ni- 58 LANL,ORNL EVAL-SEP97 S.Chiba,M.B.Chadwick,Larson 2825 1451 5 CH97,CH99 DIST-DEC06 REV3- 20011108 2825 1451 6 ----ENDF/B-VII MATERIAL 2825 REVISION 3 2825 1451 7 -----INCIDENT NEUTRON DATA 2825 1451 8 ------ENDF-6 FORMAT 2825 1451 9 ***************************************************************** 2825 1451 10 ENDF/B-VII 2825 1451 11 2825 1451 12 Oct 22,2004, Holly Trellue remade MF6MT5 using corrected GNASH 2825 1451 13 code, to fix an earlier bug. Impact is reduced sec. particle prod.2825 1451 14 2825 1451 15 Covariance data: only MF/MT=33/16 migrated from ENDF/B-VI.8 2825 1451 16 (M. Herman) 2825 1451 17 ***************************************************************** 2825 1451 18 2825 1451 19 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2825 1451 20 P.G. Young (LANL) 2825 1451 21 2825 1451 22 The secondary gamma-ray spectrum for radiative capture (MF 12, 2825 1451 23 MT 102) has been updated for new experimental data at incident 2825 1451 24 neutron energies up to 1 keV. 2825 1451 25 The MF=12, MT=102 yields above 1 keV were adjusted slightly to 2825 1451 26 force energy conservation. 2825 1451 27 The Q-value for radiative capture was also updated in File 3. 2825 1451 28 Details of these changes are described in Frankel et al. [Fr01]. 2825 1451 29 2825 1451 30 **************************************************************** 2825 1451 31 2825 1451 32 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2825 1451 33 M.B. Chadwick, P.G. Young (LANL), and A.J. Koning (ECN) 2825 1451 34 2825 1451 35 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2825 1451 36 in cooperation with ECN Petten. 2825 1451 37 2825 1451 38 This evaluation provides a complete representation of the 2825 1451 39 nuclear data needed for transport, damage, heating, 2825 1451 40 radioactivity, and shielding applications over the incident 2825 1451 41 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2825 1451 42 here is divided into the region below and above 20 MeV. 2825 1451 43 2825 1451 44 INCIDENT NEUTRON ENERGIES < 20 MeV 2825 1451 45 2825 1451 46 Below 20 MeV the evaluation is based completely on the ENDF/B- 2825 1451 47 VI.5 (Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, 2825 1451 48 and Fu. 2825 1451 49 2825 1451 50 INCIDENT NEUTRON ENERGIES > 20 MeV 2825 1451 51 2825 1451 52 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2825 1451 53 includes cross sections and energy-angle data for all 2825 1451 54 significant reactions. The present evauation utilizes a more 2825 1451 55 compact composite reaction spectrum representation above 20 MeV 2825 1451 56 in order to reduce the length of the file. No essential data for 2825 1451 57 applications is lost with this representation. 2825 1451 58 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2825 1451 59 all reaction data. Production cross sections and emission 2825 1451 60 spectra are given for neutrons, protons, deuterons, tritons, 2825 1451 61 alpha particles, gamma rays, and all residual nuclides produced 2825 1451 62 (A>5) in the reaction chains. To summarize, the ENDF sections 2825 1451 63 with non-zero data above En = 20 MeV are: 2825 1451 64 2825 1451 65 MF=3 MT= 1 Total Cross Section 2825 1451 66 MT= 2 Elastic Scattering Cross Section 2825 1451 67 MT= 3 Nonelastic Cross Section 2825 1451 68 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2825 1451 69 2825 1451 70 MF=4 MT= 2 Elastic Angular Distributions 2825 1451 71 2825 1451 72 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2825 1451 73 Distributions for Emission Neutrons, Protons, 2825 1451 74 Deuterons, Tritons, and Alphas; and Angle- 2825 1451 75 Integrated Spectra for Gamma Rays and Residual 2825 1451 76 Nuclei That Are Stable Against Particle Emission 2825 1451 77 2825 1451 78 The evaluation is based on nuclear model calculations that 2825 1451 79 have been benchmarked to experimental data, especially for n + 2825 1451 80 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2825 1451 81 [Yo92], which utilizes Hauser-Feshbach statistical, 2825 1451 82 preequilibrium and direct-reaction theories. Spherical optical 2825 1451 83 model calculations are used to obtain particle transmission 2825 1451 84 coefficients for the Hauser-Feshbach calculations, as well as 2825 1451 85 for the elastic neutron angular distributions. 2825 1451 86 Cross sections and spectra for producing individual residual 2825 1451 87 nuclei are included for reactions. The energy-angle-correlations 2825 1451 88 for all outgoing particles are based on Kalbach systematics 2825 1451 89 [Ka88]. 2825 1451 90 A model was developed to calculate the energy distributions of 2825 1451 91 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2825 1451 92 energy distributions are represented in the laboratory system in 2825 1451 93 MT=5, MF=6, and are given as isotropic in the lab system. All 2825 1451 94 other data in MT=5,MF=6 are given in the center-of-mass system. 2825 1451 95 This method of representation utilizes the LCT=3 option approved 2825 1451 96 at the November, 1996, CSEWG meeting. 2825 1451 97 Preequilibrium corrections were performed in the course of the 2825 1451 98 GNASH calculations using the exciton model of Kalbach [Ka77, 2825 1451 99 Ka85], validated by comparison with calculations using Feshbach, 2825 1451 100 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2825 1451 101 nuclear data sheets were matched to continuum level densities 2825 1451 102 using the formulation of Gilbert and Cameron [Gi65] and pairing 2825 1451 103 and shell parameters from the Cook [Co67] analysis. Neutron and 2825 1451 104 charged- particle transmission coefficients were obtained from 2825 1451 105 the optical potentials, as discussed below. Gamma-ray 2825 1451 106 transmission coefficients were calculated using the Kopecky-Uhl 2825 1451 107 model [Ko90]. 2825 1451 108 2825 1451 109 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2825 1451 110 2825 1451 111 The neutron total cross section was evaluated based on the 2825 1451 112 least-squares method with GMA code system [Po81] taking account of2825 1451 113 the experimental data [Ci68, Pe73, Sc73, La83, Sm92, Di97]. The 2825 1451 114 data for natural Ni was used above 20 MeV because there was no 2825 1451 115 data for Ni-58 at this energy region. The data for natural Ni were2825 1451 116 transformed to the Ni-58 cross section according to A*(2/3) law. 2825 1451 117 In the GMA analysis, the systematic error was assumed to be 1 % 2825 1451 118 for all the data set. Result of the GMA evaluation was used as 2825 1451 119 the evaluated total cross section data above 20 MeV. 2825 1451 120 2825 1451 121 The evaluated total cross section data (1 to 250 MeV), s-wave 2825 1451 122 strength function[Mu81], and elastic scattering angular 2825 1451 123 distribution data [Sm92, Gu85, Tu73, Pe88, Ya79] were used to 2825 1451 124 obtain the neutron optical potential parameters. The parameter 2825 1451 125 estimation was carried out based on Marquart-Bayesian approach 2825 1451 126 [Sm91], where ECIS95 code [Ra96] was used for the optical model 2825 1451 127 calculation. We have employed the energy dependence of the 2825 1451 128 optical potential similar to Delaroche's work [De89]. The initial 2825 1451 129 potential parameters were adopted from Koning and Delaroche 2825 1451 130 [Ko97]. Total of 17 parameters concerning the central potential 2825 1451 131 were estimated with associated covariance matrix. Presently 2825 1451 132 obtained potential was used for the calculation of neutron 2825 1451 133 transmission coefficients and DWBA cross sections in the entire 2825 1451 134 energy region above 20 MeV. Below 20 MeV, the Harper neutron 2825 1451 135 potential [Ha82] was used. 2825 1451 136 2825 1451 137 The proton optical potential was also searched for to obtain a 2825 1451 138 good description of proton-total reaction cross section as 2825 1451 139 predicted by Wellisch-Axen systematic [We96] above 50 MeV. The 2825 1451 140 parameter estimation was carried out by the Marquart-Bayesian 2825 1451 141 approach similar to the neutron OMP, but trying to seek the best 2825 1451 142 parameter to reproduce the reaction cross sections compiled by 2825 1451 143 Carlson [Ca96] and Wellisch values. In this search, the 2825 1451 144 geometrical parameters were fixed to be same as the neutron 2825 1451 145 potential. The present potential gives a good description of the 2825 1451 146 proton total reaction cross section above 10 MeV to 250 MeV. 2825 1451 147 However, after some trial and error to reproduce both the elastic 2825 1451 148 scattering and reaction cross section data, we have employed the 2825 1451 149 following combination of proton potentials: 2825 1451 150 2825 1451 151 0 to 5 MeV : Harper potential [Ha82] 2825 1451 152 5 to 50 MeV : Koning and Delaroche [Ko97] 2825 1451 153 50 to 260 MeV : Present OMP 2825 1451 154 2825 1451 155 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2825 1451 156 for alpha particles the McFadden-Satchler potential [Mc66] was 2825 1451 157 used; and for tritons the Beccheti-Greenlees [Be71] potential was 2825 1451 158 used. The He-3 channel was ignored. 2825 1451 159 2825 1451 160 The direct collective inelastic scattering to the following levels2825 1451 161 in Ni-58 was considered by the DWBA-mode calculation of ECIS95 2825 1451 162 [Ra96]: 2825 1451 163 2825 1451 164 Jpi Ex(MeV) Deformation length 2825 1451 165 2+ 1.454 0.900 2825 1451 166 4+ 2.459 0.350 2825 1451 167 2+ 3.038 0.242 2825 1451 168 2+ 3.263 0.306 2825 1451 169 4+ 3.620 0.246 2825 1451 170 2+ 3.898 0.111 2825 1451 171 2+ 4.108 0.063 2825 1451 172 4+ 4.299 0.127 2825 1451 173 4+ 4.405 0.329 2825 1451 174 3- 4.475 0.708 2825 1451 175 4+ 4.757 0.403 2825 1451 176 4+ 5.438 0.151 2825 1451 177 4+ 5.472 0.080 2825 1451 178 2+ 5.749 0.048 2825 1451 179 4+ 5.766 0.086 2825 1451 180 2+ 5.906 0.115 2825 1451 181 3- 6.312 0.128 2825 1451 182 2+ 6.417 0.068 2825 1451 183 4+ 6.460 0.098 2825 1451 184 2+ 6.475 0.065 2825 1451 185 2+ 6.569 0.056 2825 1451 186 2+ 6.752 0.141 2825 1451 187 3- 6.854 0.296 2825 1451 188 2+ 6.983 0.116 2825 1451 189 4+ 7.051 0.090 2825 1451 190 4+ 7.068 0.086 2825 1451 191 3- 7.111 0.079 2825 1451 192 4+ 7.141 0.112 2825 1451 193 3- 7.210 0.323 2825 1451 194 2+ 7.272 0.088 2825 1451 195 3- 7.300 0.063 2825 1451 196 3- 7.420 0.048 2825 1451 197 3- 7.514 0.171 2825 1451 198 2+ 7.580 0.051 2825 1451 199 4+ 7.618 0.083 2825 1451 200 3- 7.858 0.106 2825 1451 201 4+ 7.860 0.097 2825 1451 202 3- 8.134 0.142 2825 1451 203 3- 8.797 0.097 2825 1451 204 3- 8.841 0.112 2825 1451 205 4+ 8.902 0.072 2825 1451 206 3- 9.012 0.056 2825 1451 207 3- 9.304 0.065 2825 1451 208 3- 9.379 0.106 2825 1451 209 4+ 9.436 0.071 2825 1451 210 3- 9.458 0.082 2825 1451 211 4+ 9.588 0.052 2825 1451 212 4+ 9.632 0.080 2825 1451 213 3- 9.672 0.121 2825 1451 214 3- 9.835 0.083 2825 1451 215 3- 9.870 0.076 2825 1451 216 3- 9.929 0.061 2825 1451 217 3- 9.956 0.071 2825 1451 218 2825 1451 219 These data were retrieved from the literature (Nuclear Data 2825 1451 220 Sheets), or were evaluated by Koning [Ko97]. 2825 1451 221 2825 1451 222 Only 2 measurements exist for neutron-induced emission spectra 2825 1451 223 above 20 MeV for 58Ni: the (n,x alpha) data by Haight et al 2825 1451 224 [Ha97], and (n,xp) data by Ullman et al [Ul83]. Some of the level2825 1451 225 density parameters were adjusted to give a good description of 2825 1451 226 these data. Our starting point was the Gilbert-Cameron analysis 2825 1451 227 of Fu [Fu96], who studied the extreme sensitivity of calculated 2825 1451 228 cross sections on level densities for an IAEA CRP. Fu matched the 2825 1451 229 experimental D-0 value (14.4 keV) in 55Fe, and experimental 2825 1451 230 neutron, alpha, and proton emission data, by modifying the level 2825 1451 231 density a parameters. We modified Fu's 58Ni level density by 5% to2825 1451 232 a=6.5 to better describe Haight's data at 14 MeV. Above 14 MeV, 2825 1451 233 where (n,na) and (n,pa) become important, we increased the default2825 1451 234 level density a parameters in 54Fe and 54Mn by 7.5% to obtain an 2825 1451 235 improved agreement of the Haight data in the 40-50 MeV range (no 2825 1451 236 direct experimental information constrains these level densities).2825 1451 237 See Ref. [Ch97] for benchmark comparisons of the evaluation with 2825 1451 238 measured data. 2825 1451 239 2825 1451 240 *************************************************************** 2825 1451 241 2825 1451 242 REFERENCES 2825 1451 243 2825 1451 244 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2825 1451 245 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2825 1451 246 Barschall and W. Haeberli, The University of Wisconsin Press, 2825 1451 247 1971) p.682 2825 1451 248 [Ca96] R. F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2825 1451 249 93(1996). 2825 1451 250 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2825 1451 251 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2825 1451 252 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2825 1451 253 Driven Technologies: Calculational Method for Heavy Recoils," 2825 1451 254 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2825 1451 255 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2825 1451 256 [Ch97] M. B. Chadwick and P. G. Young, "Model Calculations of 2825 1451 257 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2825 1451 258 September 1997, internal Los Alamos National Laboratory memo T-2825 1451 259 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2825 1451 260 [Ch99] M.B. Chadwick, P G. Young, G. M. Hale, et al., Los Alamos 2825 1451 261 National Laboratory report, LA-UR-99-1222 (1999) 2825 1451 262 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2825 1451 263 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2825 1451 264 Phys. 20, 477 (1967) 2825 1451 265 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2825 1451 266 391 (1989) 2825 1451 267 [Di97] F. Dietrich et al., private communication (1997). 2825 1451 268 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2825 1451 269 National Laboratory Report, LA-13812 (2001). 2825 1451 270 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2825 1451 271 densities of three formalisms on calculated cross sections", 2825 1451 272 personal communication, 1996 (to be published by the IAEA). 2825 1451 273 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2825 1451 274 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2825 1451 275 [Ha82] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2825 1451 276 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2825 1451 277 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2825 1451 278 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2825 1451 279 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2825 1451 280 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2825 1451 281 LA-10248-MS (1985) 2825 1451 282 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2825 1451 283 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2825 1451 284 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2825 1451 285 [Ko97] A. Koning and J.P. Delaroche, private communication. 2825 1451 286 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2825 1451 287 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2825 1451 288 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2825 1451 289 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2825 1451 290 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2825 1451 291 [Pe73] F.G. Perey, private communicatiopn (1973) [EXFOR 10342] 2825 1451 292 [Pe88] Pedroni et al, Phys. Rev. C38, 2052(1988). 2825 1451 293 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2825 1451 294 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2825 1451 295 51363, p.249(1981). 2825 1451 296 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2825 1451 297 Theorique, Saclay, France (personal communication through A. J.2825 1451 298 Koning, 1996). 2825 1451 299 [Sc73] W. Schimmerling et al., Phys. Rev. C7, 248(1973). 2825 1451 300 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2825 1451 301 in Nuclear Science and Technology", American Nuclear Society 2825 1451 302 (1991). 2825 1451 303 [Sm92] A.B. Smith et al., J. Phys. G. 18, 629(1992) 2825 1451 304 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2825 1451 305 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2825 1451 306 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda et al., Nucl. 2825 1451 307 Phys. A427, 493 (1984) 2825 1451 308 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2825 1451 309 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2825 1451 310 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2825 1451 311 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2825 1451 312 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, report 2825 1451 313 LA-12343-MS (1992) 2825 1451 314 2825 1451 315 **************************************************************** 2825 1451 316 2825 1451 317 ENDF/B-VI MOD 2 Revision, October 1989, D.C. Larson, 2825 1451 318 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2825 1451 319 2825 1451 320 1. Capture widths corrected for 58.7 and 439.52 keV resonances. 2825 1451 321 2. The elastic transformation matrix was removed. 2825 1451 322 3. Fixed typo in minimum energy in MF=6, MT=51 2825 1451 323 2825 1451 324 **************************************************************** 2825 1451 325 2825 1451 326 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2825 1451 327 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2825 1451 328 2825 1451 329 THIS WORK EMPLOYED NUCLEAR MODEL CODES INCLUDING THE 2825 1451 330 DISTORTED WAVE BORN APPROXIMATION (DWBA) PROGRAM DWUCK (1) 2825 1451 331 AND THE HAUSER-FESHBACH CODE TNG (2,3,4). THE TNG CODE PROVIDES 2825 1451 332 ENERGY AND ANGULAR DISTRIBUTIONS OF PARTICLES EMITTED IN THE 2825 1451 333 COMPOUND AND PRE-COMPOUND REACTIONS, ENSURES CONSISTENCY AMONG ALL2825 1451 334 REACTIONS, AND MAINTAINS ENERGY BALANCE. DETAILS PERTINENT TO THE 2825 1451 335 CONTENTS OF THIS EVALUATION AND EXTENSIVE COMPARISONS OF 2825 1451 336 CALCULATIONS WITH EXPERIMENTAL DATA CAN BE FOUND IN REFERENCE (5).2825 1451 337 2825 1451 338 ----- DESCRIPTION OF FILES 2825 1451 339 (MF-MT) 2825 1451 340 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2825 1451 341 2-151 RESONANCE PARAMETERS ARE USED EXCLUSIVELY TO PROVIDE THE 2825 1451 342 TOTAL, SCATTERING AND CAPTURE CROSS SECTIONS FROM 1.E-5 EV2825 1451 343 TO 812 KEV, EXCEPT FOR CAPTURE FROM 450-812 KEV. THE 2825 1451 344 RESONANCE PARAMETERS ARE TAKEN FROM AN 2825 1451 345 EXTENSIVE RESONANCE PARAMETER ANALYSIS OF TRANSMISSION, 2825 1451 346 SCATTERING AND CAPTURE DATA (6). NEGATIVE ENERGY 2825 1451 347 RESONANCES HAVE BEEN USED TO GIVE THE CORRECT THERMAL 2825 1451 348 VALUES. THE SCATTERING CROSS SECTION IS GIVEN COMPLETELY 2825 1451 349 BY THE RESONANCE PARAMETERS FROM 1.E-5 TO 812 KEV, BUT FOR2825 1451 350 THE CAPTURE CROSS SECTION, AVERAGE RESONANCE PARAMETERS 2825 1451 351 USED FROM 450 TO 812 KEV. THUS, THERE IS A BACKGROUND 2825 1451 352 CONTRIBUTION IN 3/102 FROM 450 TO 812 KEV TO ACCOUNT FOR 2825 1451 353 THE SMALL DIFFERENCE IN CAPTURE CROSS SECTION FROM THE 2825 1451 354 AVERAGE RESONANCE PARAMETERS AND THE AVERAGED EXPERIMENTAL2825 1451 355 DATA (6). THE REICH-MOORE CODE SAMMY (7) WAS USED FOR THE2825 1451 356 RESONANCE PARAMETER ANALYSIS. 2825 1451 357 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2825 1451 358 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 29.4 B, 2825 1451 359 ELASTIC SCATTERING 24.8 B, AND CAPTURE 4.62 B. 2825 1451 360 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2825 1451 361 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2825 1451 362 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2825 1451 363 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2825 1451 364 3-1 THE TOTAL CROSS SECTION WAS OBTAINED FROM .812 TO 20 MEV 2825 1451 365 BY ANALYSIS OF THE SAME HIGH RESOLUTION MEASUREMENT 2825 1451 366 USED FOR THE RESONANCE PARAMETER ANALYSIS IN 2/151. DATA 2825 1451 367 WERE BINNED AND COMPARED WITH ENERGY AVERAGED DATA FROM 2825 1451 368 ARGONNE (8) AND OTHER DATA FROM CSISRS, AND GOOD 2825 1451 369 AGREEMENT WAS FOUND. 2825 1451 370 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2825 1451 371 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2825 1451 372 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2825 1451 373 3-28, 3-102, 3-103, 3-104, AND 3-107. 2825 1451 374 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2825 1451 375 .., 3-58, AND 3-91 2825 1451 376 3-16 (N,2N) CROSS SECTIONS WERE TAKEN FROM THE EVALUATION 2825 1451 377 OF 58NI(N,2N)57NI CROSS SECTIONS BY PAVLIK AND 2825 1451 378 WINKLER (9). THESE CROSS SECTIONS WERE SLIGHTLY LARGER 2825 1451 379 THAN THE TNG CALCULATIONS. (SEE (N,NP) BELOW). 2825 1451 380 3-22 (N,NA) + (N,AN) CROSS SECTIONS WERE CALCULATED BY THE TNG 2825 1451 381 CODE (2,3,4,5). NO DATA AVAILABLE OTHER THAN A EMISSION. 2825 1451 382 3-28 (N,NP) + (N,PN) CROSS SECTIONS WERE CALCULATED BY THE TNG 2825 1451 383 CODE (2,3,4,5) BUT MODIFIED ABOVE EINC OF 13.0 MEV TO FIT 2825 1451 384 THE DATA OF PAVLIK ET AL. (10). THE MODIFICATION OF THE 2825 1451 385 TNG CALCULATION FOR (N,NP) CANCELED OUT THE DIFFERENCE 2825 1451 386 BETWEEN THE TNG CALCULATION FOR (N,2N) AND THE ACTUAL 2825 1451 387 (N,2N) USED (SEE ABOVE) SO THAT THE TNG CALCULATED 2825 1451 388 NONELASTIC CROSS DID NOT CHANGE. 2825 1451 389 3-51 TO 3-58 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2825 1451 390 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2825 1451 391 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. EXTENSIVE 2825 1451 392 COMPARISONS WITH EXPERIMENTAL DATA USED IN THE EVALUATION 2825 1451 393 PROCESS ARE SHOWN IN (5). 2825 1451 394 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2825 1451 395 CALCULATED). GUIDANCE FROM (N,XN) EMISSION DATA (5). 2825 1451 396 3-102 (N,G) CAPTURE CROSS SECTION IS PROVIDED ONLY BY RESONANCE 2825 1451 397 PARAMETERS FROM 1.E-5 EV TO 450 KEV. FROM 450 TO 812 KEV 2825 1451 398 A SMALL BACKGROUND FILE IS GIVEN IN 3/102 TO COMBINE WITH 2825 1451 399 THE 2/151 RESULTS. TNG CALCULATIONS WERE NORMALIZED 2825 1451 400 TO THE RESONANCE REGION RESULTS BETWEEN 100-812 KEV, 2825 1451 401 AND USED FROM 812 KEV TO 20 MEV. 2825 1451 402 3-103 (N,P) CROSS SECTIONS UP TO 6 MEV WERE TAKEN FROM THE 2825 1451 403 GLUCS (12) CALCULATION IN WHICH THIS REACTION WAS STUDIED 2825 1451 404 SIMULTANEOUSLY WITH 12 OTHER DOSIMETRY REACTION CROSS 2825 1451 405 SECTIONS (13). FROM 6 TO 13 MEV A LINE WAS DRAWN 2825 1451 406 THROUGH DATA (SEVERAL MEASURED DATA SETS DISAGREE AND A 2825 1451 407 COMPROMISE WAS CHOSEN). ABOVE 13 MEV, TNG CALC. WERE USED 2825 1451 408 WHICH COMPARED VERY WELL WITH RECENT MEASUREMENTS (5). 2825 1451 409 3-104 (N,D) CROSS SECTION - TAKEN FROM ENDF/B-V (11) WHICH 2825 1451 410 AGREED WELL WITH AVAILABLE DATA. 2825 1451 411 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2825 1451 412 TNG CODE (2,3,4,5) AND MODIFIED BETWEEN EINC FROM 7.0 TO 2825 1451 413 13 MEV TO BETTER FIT THE RATIO DATA OF WATTECAMPS (14). 2825 1451 414 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS FOR ELASTIC 2825 1451 415 SCATTERING WERE REVIEWED AND ADOPTED FROM ENDF/B-V (11). 2825 1451 416 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2825 1451 417 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2825 1451 418 PARAMETERS IN 2/151. 2825 1451 419 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 420 NEUTRON AND 57NI RESIDUAL, AND ENERGY DEPENDENT YIELDS 2825 1451 421 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2825 1451 422 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2825 1451 423 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2825 1451 424 THE OUTGOING NEUTRON). (N,XN) D-D EMISSION DATA HEAVILY 2825 1451 425 USED TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 426 6-22 (N,NA) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 427 NEUTRON, ALPHA, AND 54FE RESIDUAL, AND ENERGY DEPENDENT 2825 1451 428 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2825 1451 429 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2825 1451 430 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2825 1451 431 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2825 1451 432 ALPHA AND RESIDUAL). (N,XA) D-D EMISSION DATA HEAVILY USED2825 1451 433 TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 434 6-28 (N,NP) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 435 NEUTRON, P, AND 57CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2825 1451 436 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2825 1451 437 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2825 1451 438 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2825 1451 439 THE OUTGOING NEUTRON). (N,XP) D-D EMISSION DATA HEAVILY 2825 1451 440 USED TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 441 6-51 THROUGH 6-58 INELASTIC SCATTERING EXCITING LEVELS; EACH 2825 1451 442 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2825 1451 443 AND 58NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2825 1451 444 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2825 1451 445 BY DWUCK (1) AND TNG (2,3,4,5)). EXTENSIVE COMPARISONS 2825 1451 446 WITH ANGULAR DISTRIBUTION DATA ARE GIVEN IN (5). 2825 1451 447 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2825 1451 448 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 58NI 2825 1451 449 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2825 1451 450 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2825 1451 451 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2825 1451 452 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2825 1451 453 OUTGOING NEUTRON). (N,XN) D-D EMISSION DATA HEAVILY USED 2825 1451 454 TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 455 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2825 1451 456 AND 58CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2825 1451 457 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2825 1451 458 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2825 1451 459 PRODUCT. (N,XP) D-D EMISSION DATA HEAVILY USED TO BENCH- 2825 1451 460 MARK THE TNG CALCULATIONS (5). 2825 1451 461 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2825 1451 462 AND 55FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2825 1451 463 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2825 1451 464 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2825 1451 465 PRODUCT. (N,XA) D-D EMISSION DATA HEAVILY USED TO BENCH- 2825 1451 466 MARK THE TNG CALCULATIONS (5). 2825 1451 467 12-51 THROUGH 12-58 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2825 1451 468 BY HETRICK ET AL. (5), ARE GIVEN. 2825 1451 469 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2825 1451 470 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2825 1451 471 ASSUMED TO BE ISOTROPIC. 2825 1451 472 15-102 (N,G) CAPTURE; TNG CALCULATED. 2825 1451 473 -------------------------------------------------------------- 2825 1451 474 UNCERTAINTY FILES 2825 1451 475 2825 1451 476 ENDF/B-VII: Only MF/MT=33/16 migrated from ENDF/B-VI.8 2825 1451 477 2825 1451 478 33-16 (N,2N) COVARIANCES WERE TAKEN FROM THE EVALUATION OF 2825 1451 479 PAVLIK AND WINKLER (9). 2825 1451 480 2825 1451 481 **************************************************************** 2825 1451 482 2825 1451 483 REFERENCES 2825 1451 484 2825 1451 485 (1) P.D. Kunz, "Distorted Wave Code DWUCK72," Univ. of 2825 1451 486 Colorado, unpublished (1972) 2825 1451 487 (2) C.Y. Fu, Oak Ridge NAtional Laboratory report ORNL/TM-7042 2825 1451 488 (1980) 2825 1451 489 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2825 1451 490 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2825 1451 491 p. 675 2825 1451 492 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2825 1451 493 ORNL/TM-10093 (1986) 2825 1451 494 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2825 1451 495 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2825 1451 496 (6) C.M. Perey, F.G. Perey, J.A. Harvey, et al., Oak Ridge 2825 1451 497 Laboratort report ORNL/TM-10841, IN PREPARATION 2825 1451 498 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2825 1451 499 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2825 1451 500 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2825 1451 501 (8) C. Budtz-Jorgensen, P.T. Guenther, A.B. Smith and J.F. Whalen2825 1451 502 Zeit.Phys A 306, 265 (1982) and report ANL/NDM-61 (1982) 2825 1451 503 (9) A. Pavlik and G. Winkler, International Nuclear 2825 1451 504 Committee report INDC(AUS)-9/L (International Atomic Energy 2825 1451 505 Agency, 1983) 2825 1451 506 (10) A. Pavlik, G. Winkler, M. Uhl et al., Nucl.Sci.Eng. 90, 186 2825 1451 507 (1985) 2825 1451 508 (11) M. Divadeenam, Brookhaven National Laboratory report 2825 1451 509 BNL-NCS-51346 [ENDF-294] (1979) 2825 1451 510 (12) D.M. Hetrick and C.Y. Fu, Oak Ridge National Laboratory 2825 1451 511 report ORNL/TM-7341 [ENDF-303] (1980) 2825 1451 512 (13) C.Y. Fu and D.M. Hetrick, ASTM-Euratom Symp. on Reactor 2825 1451 513 Dosimetry, Gaithersburg, MD, March 1982, National Bureau of 2825 1451 514 Standards, p. 877 2825 1451 515 (14) E. Wattecamps, GEEL, Belgium, private communication (1987) 2825 1451 516 2825 1451 517 ************************ C O N T E N T S *********************** 2825 1451 518 ***************** Program LINEAR (VERSION 2007-1) ***************2825 1451 519 For All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 520 Data Linearized Using Energy Dependent Uncertainty 2825 1451 521 Energy Accuracy 2825 1451 522 (eV) (per-cent) 2825 1451 523 ----------- ----------- 2825 1451 524 0.0 .010000000 2825 1451 525 1.00000000 .010000000 2825 1451 526 10.0000000 .100000000 2825 1451 527 2.00000E+9 .100000000 2825 1451 528 ***************** Program RECENT (VERSION 2007-1) ***************2825 1451 529 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 530 Data Linearized Using Energy Dependent Uncertainty 2825 1451 531 Energy Accuracy 2825 1451 532 (eV) (per-cent) 2825 1451 533 ----------- ----------- 2825 1451 534 0.0 .010000000 2825 1451 535 1.00000000 .010000000 2825 1451 536 10.0000000 .100000000 2825 1451 537 2.00000E+9 .100000000 2825 1451 538 ***************** Program FIXUP (Version 2007-1) ****************2825 1451 539 Corrected ZA/AWR in All Sections-----------------------------Yes 2825 1451 540 Corrected Thresholds-----------------------------------------No 2825 1451 541 Extended Cross Sections to 20 MeV----------------------------No 2825 1451 542 Allow Cross Section Deletion---------------------------------Yes 2825 1451 543 Allow Cross Section Reconstruction---------------------------Yes 2825 1451 544 Make All Cross Sections Non-Negative-------------------------Yes 2825 1451 545 Delete Energies Not in Ascending Order-----------------------Yes 2825 1451 546 Deleted Duplicate Points-------------------------------------Yes 2825 1451 547 Check for Ascending MAT/MF/MT Order--------------------------Yes 2825 1451 548 Check for Legal MF/MT Numbers--------------------------------Yes 2825 1451 549 Allow Creation of Missing Sections---------------------------No 2825 1451 550 Allow Insertion of Energy Points-----------------------------No 2825 1451 551 Create Uniform Energy Grid-----------------------------------No 2825 1451 552 Delete Section if Cross Section =0 at All Energies-----------Yes 2825 1451 553 **************** Program DICTIN (VERSION 2007-1) ****************2825 1451 554 1 451 612 42825 1451 555 2 151 489 22825 1451 556 3 1 29381 32825 1451 557 3 2 11129 32825 1451 558 3 4 16 12825 1451 559 3 5 9 32825 1451 560 3 16 10 12825 1451 561 3 22 7 12825 1451 562 3 28 7 12825 1451 563 3 51 13 12825 1451 564 3 52 12 12825 1451 565 3 53 12 12825 1451 566 3 54 12 12825 1451 567 3 55 12 12825 1451 568 3 56 11 12825 1451 569 3 57 11 12825 1451 570 3 58 11 12825 1451 571 3 91 11 12825 1451 572 3 102 23016 42825 1451 573 3 103 12 12825 1451 574 3 104 11 12825 1451 575 3 107 15 12825 1451 576 4 2 3747 32825 1451 577 6 5 12919 32825 1451 578 6 16 233 12825 1451 579 6 22 401 12825 1451 580 6 28 492 12825 1451 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4.00000000 0.0 0.0 2825 2151 620 -11674.0000 .500000000 4262.70000 3.20000000 0.0 0.0 2825 2151 621 15306.0000 .500000000 1332.40000 .970000000 0.0 0.0 2825 2151 622 36133.0000 .500000000 18.3640000 1.72000000 0.0 0.0 2825 2151 623 63343.0000 .500000000 3855.00000 3.50000000 0.0 0.0 2825 2151 624 83391.0000 .500000000 3.95920000 1.16000000 0.0 0.0 2825 2151 625 108350.000 .500000000 1094.30000 4.80000000 0.0 0.0 2825 2151 626 124000.000 .500000000 463.130000 1.56000000 0.0 0.0 2825 2151 627 137620.000 .500000000 2035.00000 2.90000000 0.0 0.0 2825 2151 628 140300.000 .500000000 3119.50000 .900000000 0.0 0.0 2825 2151 629 158110.000 .500000000 5281.70000 3.30000000 0.0 0.0 2825 2151 630 168950.000 .500000000 424.020000 1.30000000 0.0 0.0 2825 2151 631 176140.000 .500000000 4.80000000 .560000000 0.0 0.0 2825 2151 632 191910.000 .500000000 2506.70000 3.30000000 0.0 0.0 2825 2151 633 206580.000 .500000000 7460.40000 6.90000000 0.0 0.0 2825 2151 634 211040.000 .500000000 56.9160000 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0.0 0.0 2825 2151 650 424620.000 .500000000 7714.80000 3.30000000 0.0 0.0 2825 2151 651 428050.000 .500000000 1083.60000 .900000000 0.0 0.0 2825 2151 652 455500.000 .500000000 1787.00000 2.00000000 0.0 0.0 2825 2151 653 462250.000 .500000000 437.000000 2.00000000 0.0 0.0 2825 2151 654 470410.000 .500000000 469.040000 2.00000000 0.0 0.0 2825 2151 655 491810.000 .500000000 178.200000 1.00000000 0.0 0.0 2825 2151 656 496320.000 .500000000 1383.80000 2.00000000 0.0 0.0 2825 2151 657 507780.000 .500000000 1496.30000 2.00000000 0.0 0.0 2825 2151 658 523520.000 .500000000 1276.10000 2.00000000 0.0 0.0 2825 2151 659 529250.000 .500000000 195.720000 1.00000000 0.0 0.0 2825 2151 660 541210.000 .500000000 506.310000 2.00000000 0.0 0.0 2825 2151 661 553710.000 .500000000 2390.20000 2.00000000 0.0 0.0 2825 2151 662 559720.000 .500000000 846.890100 2.00000000 0.0 0.0 2825 2151 663 567740.000 .500000000 9092.41400 2.00000000 0.0 0.0 2825 2151 664 588830.000 .500000000 2284.00000 2.00000000 0.0 0.0 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20018.5487 27.5268842 20018.7245 27.67574722825 3 1 1825 20018.9004 27.9012044 20019.0762 28.1308416 20019.2521 28.36553582825 3 1 1826 20019.5159 28.7283762 20019.6917 29.0817764 20019.8675 29.44331722825 3 1 1827 20020.0434 29.8145792 20020.1313 30.0056902 20020.2192 30.26261402825 3 1 1828 20020.3951 30.7899638 20020.5709 31.3327187 20020.7468 32.05035092825 3 1 1829 20020.9226 32.7902755 20021.0106 33.2753588 20021.0985 33.76750492825 3 1 1830 20021.1864 34.2680861 20021.2743 34.7780375 20021.3623 35.43280412825 3 1 1831 20021.4502 36.0984753 20021.5381 36.7771683 20021.6260 37.63629492825 3 1 1832 20021.7140 38.5128323 20021.8019 39.4068631 20021.8898 40.51085152825 3 1 1833 20021.9777 41.6384448 20022.1097 43.6859306 20022.1536 44.38672062825 3 1 1834 20022.1976 45.2196187 20022.2855 46.9204501 20022.3294 47.79091902825 3 1 1835 20022.3734 48.8083639 20022.4614 50.8913265 20022.5493 53.33508952825 3 1 1836 20022.5932 54.5866558 20022.6372 56.0281335 20022.7251 58.97835472825 3 1 1837 20022.8131 62.4604533 20022.8570 64.2419425 20022.9010 66.29107922825 3 1 1838 20022.9889 70.4826026 20023.0768 75.3745150 20023.1208 77.88695772825 3 1 1839 20023.1911 82.4162431 20023.2614 87.0537608 20023.2966 89.63307062825 3 1 1840 20023.4373 100.139189 20023.6483 116.312962 20023.6659 117.6205312825 3 1 1841 20023.7538 123.245020 20023.7714 124.312733 20023.8417 127.6381052825 3 1 1842 20023.8593 128.405804 20023.9121 129.853859 20023.9472 130.6738842825 3 1 1843 20023.9912 131.046837 20024.0000 131.099293 20024.0018 131.1059282825 3 1 1844 20024.0703 130.320082 20024.0879 130.049687 20024.1407 128.3076902825 3 1 1845 20024.1759 127.011203 20024.2286 124.224241 20024.2814 121.2570102825 3 1 1846 20024.3165 118.827152 20024.4220 111.258456 20024.4572 108.5664622825 3 1 1847 20024.6682 92.2946608 20024.7737 84.9202026 20024.8089 82.50999092825 3 1 1848 20024.8793 78.1534978 20024.9233 75.4918621 20024.9672 73.12406012825 3 1 1849 20025.0551 68.4916305 20025.1430 64.5329410 20025.1870 62.59810932825 3 1 1850 20025.2310 60.9131009 20025.3189 57.6310407 20025.4068 54.84555642825 3 1 1851 20025.4508 53.4843716 20025.4947 52.3012415 20025.5827 49.98797122825 3 1 1852 20025.6706 48.0583869 20025.7585 46.1736894 20025.8464 44.62541962825 3 1 1853 20025.9344 43.1100055 20026.0223 41.8559536 20026.1102 40.62863582825 3 1 1854 20026.1981 39.6029150 20026.2861 38.5969022 20026.3740 37.77842672825 3 1 1855 20026.4619 36.9763391 20026.5498 36.1888354 20026.6378 35.56189732825 3 1 1856 20026.7257 34.9473086 20026.8136 34.3431424 20026.9015 33.86886362825 3 1 1857 20026.9895 33.4024869 20027.0774 32.9442472 20027.1653 32.49599482825 3 1 1858 20027.2532 32.1517593 20027.4291 31.4855917 20027.6049 30.83860032825 3 1 1859 20027.7808 30.3681499 20027.9566 29.9111601 20028.1325 29.46508022825 3 1 1860 20028.3083 29.1449305 20028.4842 28.8327408 20028.7480 28.37738532825 3 1 1861 20028.9238 28.1684858 20029.0997 27.9643909 20029.2755 27.76471792825 3 1 1862 20029.4514 27.5687170 20029.6272 27.3761647 20029.8031 27.25151492825 3 1 1863 20029.9789 27.1295605 20030.1548 27.0098771 20030.3306 26.89235292825 3 1 1864 20030.5065 26.7766381 20030.8582 26.5501682 20031.2099 26.41792082825 3 1 1865 20031.5616 26.2902097 20031.9133 26.1662637 20032.2650 26.04546802825 3 1 1866 20032.6167 25.9273279 20032.7925 25.8694015 20032.9684 25.83931662825 3 1 1867 20033.3201 25.7810895 20033.8476 25.6967873 20034.1993 25.64228642825 3 1 1868 20034.5510 25.5889444 20034.9027 25.5366158 20035.4303 25.45975132825 3 1 1869 20035.9578 25.3845651 20036.3095 25.3352236 20036.7492 25.31057092825 3 1 1870 20037.1888 25.2866721 20037.6284 25.2634274 20038.0680 25.24075672825 3 1 1871 20038.5077 25.2185870 20038.9473 25.1968701 20039.3869 25.17555072825 3 1 1872 20039.8265 25.1545856 20040.2662 25.1339325 20041.1454 25.09345882825 3 1 1873 20042.0247 25.0539045 20042.9039 25.0151115 20043.7832 24.97693972825 3 1 1874 20044.2228 24.9581170 20044.6624 24.9526634 20045.5417 24.94219382825 3 1 1875 20046.4209 24.9320967 20047.7398 24.9175291 20048.6190 24.90814132825 3 1 1876 20049.4983 24.8989703 20050.3775 24.8899898 20051.2568 24.88117352825 3 1 1877 20052.1360 24.8725034 20053.0153 24.8639600 20053.8945 24.85553062825 3 1 1878 20054.7738 24.8472005 20056.5323 24.8307997 20058.2908 24.81468602825 3 1 1879 20060.0493 24.7988049 20061.8078 24.7831141 20063.5663 24.76758072825 3 1 1880 20065.3248 24.7521784 20067.9625 24.7292766 20069.7210 24.71411902825 3 1 1881 20071.4795 24.6990350 20073.2380 24.6840141 20074.9965 24.66904802825 3 1 1882 20076.7550 24.6541293 20078.5135 24.6473876 20082.0305 24.63400912825 3 1 1883 20085.5475 24.6207443 20089.0645 24.6075695 20092.5815 24.59446662825 3 1 1884 20097.8570 24.5749181 20101.3740 24.5619417 20104.8910 24.54900132825 3 1 1885 20108.4080 24.5360910 20114.5628 24.5135565 20122.4760 24.48466852825 3 1 1886 20127.7515 24.4654499 20133.0270 24.4462563 20140.0610 24.42069622825 3 1 1887 20147.0950 24.3951646 20154.1290 24.3696556 20161.1630 24.34416462825 3 1 1888 20171.0762 24.3082637 20180.9893 24.2723852 20200.8155 24.20067552825 3 1 1889 20220.6417 24.1290089 20240.4679 24.0573704 20260.2941 23.98575122825 3 1 1890 20299.9465 23.8425503 20359.4251 23.6278030 20438.7299 23.34152622825 3 1 1891 20478.3823 23.1984073 20536.4686 23.0274682 20623.5979 22.77109842825 3 1 1892 20681.6841 22.6002109 20739.7703 22.4293547 20768.8134 22.34394382825 3 1 1893 20812.3781 22.2158601 20841.4212 22.1305028 20870.4643 22.04518402825 3 1 1894 20884.9858 22.0025446 20899.5074 21.9599226 20921.2897 21.89603322825 3 1 1895 20935.8113 21.8534787 20943.0720 21.8322168 20953.3760 21.80206422825 3 1 1896 20963.6800 21.7719417 20973.9840 21.7418568 20984.2880 21.71181942825 3 1 1897 20995.8800 21.6781013 21003.6080 21.6556786 21011.3360 21.63331342825 3 1 1898 21015.2000 21.6265300 21020.3520 21.6175173 21025.5040 21.60854692825 3 1 1899 21030.6560 21.5996267 21035.8080 21.5907665 21040.9600 21.58197872825 3 1 1900 21046.1120 21.5732787 21051.2640 21.5646868 21056.4160 21.55622892825 3 1 1901 21058.9920 21.5520606 21061.5680 21.5479397 21064.1440 21.54387222825 3 1 1902 21066.7200 21.5398656 21069.2960 21.5359282 21071.8720 21.53207012825 3 1 1903 21074.4480 21.5283034 21077.0240 21.5246422 21079.6000 21.52110402825 3 1 1904 21082.1760 21.5177094 21084.7520 21.5144841 21087.3280 21.52745602825 3 1 1905 21089.9040 21.5406678 21092.4800 21.5541683 21095.0560 21.56802012825 3 1 1906 21096.3440 21.5751019 21097.6320 21.5823031 21098.9200 21.58963782825 3 1 1907 21100.2080 21.5971217 21101.4960 21.6047733 21102.7840 21.61261372825 3 1 1908 21104.0720 21.6206676 21105.3600 21.6289640 21106.6480 21.63753692825 3 1 1909 21107.9360 21.6464263 21109.8680 21.6604605 21111.1560 21.67037062825 3 1 1910 21111.8000 21.6755902 21112.4440 21.6950739 21113.7320 21.73466202825 3 1 1911 21115.0200 21.7749834 21116.3080 21.8161772 21117.5960 21.85841712825 3 1 1912 21118.8840 21.9019222 21119.5280 21.9242336 21120.1720 21.94697192825 3 1 1913 21120.8160 21.9701850 21121.4600 21.9939275 21122.1040 22.04752762825 3 1 1914 21122.7480 22.1017924 21123.3920 22.1568059 21124.0360 22.21266542825 3 1 1915 21124.6800 22.2694849 21125.3240 22.3273980 21125.9680 22.38656232825 3 1 1916 21126.8696 22.4718575 21127.5136 22.5851798 21128.0288 22.67729952825 3 1 1917 21128.5440 22.7709076 21129.0592 22.8662103 21129.5744 22.96345092825 3 1 1918 21130.0896 23.0635441 21130.3472 23.1444571 21130.8624 23.30966132825 3 1 1919 21131.3776 23.4780856 21131.8928 23.6502794 21132.4080 23.82691432825 3 1 1920 21132.9232 24.0952441 21133.4384 24.3698702 21133.9536 24.65208242825 3 1 1921 21134.4688 25.0590907 21134.7264 25.2666867 21134.9840 25.47741942825 3 1 1922 21135.2416 25.6916503 21135.4992 25.9895898 21135.7568 26.29191962825 3 1 1923 21136.0144 26.5991917 21136.2720 26.9120466 21136.5296 27.33052112825 3 1 1924 21136.7872 27.7561992 21137.0448 28.1901092 21137.4312 29.03625462825 3 1 1925 21137.6888 29.6146645 21137.9464 30.3649614 21138.2040 31.13115832825 3 1 1926 21138.3328 31.5235950 21138.4616 32.0191661 21138.7192 33.03238042825 3 1 1927 21138.8480 33.5521153 21138.9768 34.1846042 21139.2344 35.48103122825 3 1 1928 21139.4920 37.0781752 21139.6208 37.8934619 21139.7496 38.89836212825 3 1 1929 21139.8784 39.9173664 21140.0072 40.9520386 21140.1360 42.19867312825 3 1 1930 21140.2648 43.4647733 21140.3936 44.9535570 21140.5224 46.46674932825 3 1 1931 21140.6512 48.2605796 21140.7800 50.0853050 21140.9088 52.26701232825 3 1 1932 21141.0376 54.4881846 21141.2308 58.4361791 21141.3596 61.50923452825 3 1 1933 21141.4240 63.0766284 21141.4884 64.8717529 21141.6172 68.53236392825 3 1 1934 21141.7460 72.8276817 21141.8104 75.0210550 21141.8748 77.55148162825 3 1 1935 21142.0036 82.7163501 21142.1324 88.8138479 21142.1968 91.92907392825 3 1 1936 21142.2612 95.4416029 21142.3256 99.0284060 21142.3900 102.9748142825 3 1 1937 21142.4544 107.003083 21142.5188 111.424106 21142.5832 115.9335112825 3 1 1938 21142.6476 120.946947 21142.7635 130.161113 21142.8150 134.6971292825 3 1 1939 21142.9181 143.959263 21142.9696 149.001023 21143.1242 164.3826962825 3 1 1940 21143.1757 169.696811 21143.4848 201.710596 21143.6394 215.3966392825 3 1 1941 21143.7682 224.071861 21143.8712 228.337989 21143.8970 229.2870742825 3 1 1942 21143.9871 230.548119 21144.0000 230.691628 21144.1030 229.3835992825 3 1 1943 21144.2061 225.263941 21144.2318 224.124221 21144.3349 217.3056962825 3 1 1944 21144.3606 215.508561 21144.4637 206.499034 21144.5152 201.8502672825 3 1 1945 21144.6698 186.018536 21144.9789 154.135869 21145.1334 139.4184812825 3 1 1946 21145.2880 126.099436 21145.4168 116.146456 21145.5456 107.2103482825 3 1 1947 21145.6744 99.2296232 21145.8032 92.1239970 21145.9320 85.95358332825 3 1 1948 21145.9964 82.9310712 21146.0608 80.3159564 21146.1896 75.19659932825 3 1 1949 21146.3184 70.8492493 21146.3828 68.7184251 21146.4472 66.86503922825 3 1 1950 21146.5760 63.2334405 21146.7048 60.1236712 21146.7692 58.59772332825 3 1 1951 21146.8336 57.2593295 21146.9624 54.6334027 21147.0912 52.40637412825 3 1 1952 21147.2200 50.2188311 21147.3488 48.3887946 21147.4776 46.58966892825 3 1 1953 21147.6064 45.0716480 21147.7352 43.5780478 21147.8640 42.30754172825 3 1 1954 21147.9928 41.0565108 21148.1216 40.0178810 21148.2504 38.99492642825 3 1 1955 21148.3792 37.9860825 21148.5080 37.1672925 21148.7656 35.56315702825 3 1 1956 21149.0232 34.2604719 21149.1520 33.6248606 21149.2808 33.10234342825 3 1 1957 21149.5384 32.0835756 21149.6672 31.5852324 21149.7960 31.19036902825 3 1 1958 21150.0536 30.4193263 21150.3112 29.6641899 21150.5688 29.08153782825 3 1 1959 21150.9552 28.2290373 21151.2128 27.7913889 21151.4704 27.36197552825 3 1 1960 21151.7280 26.9397682 21151.9856 26.6236484 21152.2432 26.31311352825 3 1 1961 21152.5008 26.0075226 21152.7584 25.7063237 21153.0160 25.48925932825 3 1 1962 21153.2736 25.2756945 21153.5312 25.0652674 21154.0464 24.65259982825 3 1 1963 21154.5616 24.3725535 21155.0768 24.1000960 21155.5920 23.83393682825 3 1 1964 21155.8496 23.7034922 21156.1072 23.6153397 21156.6224 23.44347722825 3 1 1965 21157.1376 23.2753856 21157.6528 23.1105151 21157.9104 23.02976962825 3 1 1966 21158.4256 22.9258834 21158.9408 22.8248509 21159.4560 22.72575702825 3 1 1967 21159.9712 22.6283582 21160.7440 22.4849958 21161.1304 22.41470622825 3 1 1968 21161.5168 22.3749296 21162.0320 22.3232111 21162.6760 22.25984542825 3 1 1969 21163.3200 22.1977314 21163.9640 22.1367115 21164.6080 22.07665192825 3 1 1970 21165.2520 22.0174388 21165.8960 21.9589745 21166.5400 21.90117532825 3 1 1971 21167.1840 21.8741673 21167.8280 21.8476889 21168.4720 21.82168552825 3 1 1972 21169.7600 21.7709180 21171.0480 21.7215473 21172.3360 21.67332632825 3 1 1973 21173.6240 21.6260601 21174.9120 21.5795934 21176.2000 21.53380122825 3 1 1974 21176.8440 21.5111917 21177.4880 21.5028870 21178.7760 21.48676752825 3 1 1975 21180.0640 21.4710694 21181.3520 21.4557358 21182.6400 21.44071882825 3 1 1976 21183.9280 21.4259784 21185.2160 21.4114807 21186.5040 21.39719662825 3 1 1977 21187.7920 21.3831016 21189.0800 21.3691743 21190.3680 21.35539632825 3 1 1978 21191.6560 21.3417518 21194.2320 21.3148097 21196.8080 21.28825652825 3 1 1979 21199.3840 21.2620217 21201.9600 21.2360500 21204.5360 21.21029772825 3 1 1980 21207.1120 21.2016472 21208.4000 21.1973820 21210.9760 21.18895662825 3 1 1981 21213.5520 21.1806541 21216.1280 21.1724574 21218.7040 21.16435212825 3 1 1982 21221.2800 21.1563262 21223.8560 21.1483697 21226.4320 21.14047402825 3 1 1983 21229.0080 21.1326319 21231.5840 21.1248372 21236.7360 21.10936932825 3 1 1984 21241.8880 21.0940356 21247.0400 21.0788101 21252.1920 21.06367272825 3 1 1985 21257.3440 21.0486076 21262.4960 21.0336027 21267.6480 21.01864802825 3 1 1986 21272.8000 21.0037358 21280.5280 20.9814334 21288.2560 20.95919542825 3 1 1987 21295.9840 20.9370090 21303.7120 20.9148645 21314.0160 20.88539092825 3 1 1988 21324.3200 20.8559649 21334.6240 20.8265766 21344.9280 20.79721852825 3 1 1989 21359.8608 20.7547141 21374.7935 20.7122486 21389.7263 20.66981242825 3 1 1990 21404.6590 20.6273995 21419.5918 20.5950860 21449.4573 20.53049992825 3 1 1991 21479.3228 20.4659528 21524.1210 20.3691802 21553.9865 20.30468672825 3 1 1992 21613.7175 20.1757330 21643.5830 20.1112678 21703.3140 19.98235292825 3 1 1993 21763.0450 19.8534526 21882.5070 19.5956788 22061.7000 19.20905482825 3 1 1994 22300.6240 18.7840663 22539.5480 18.3590981 22778.4720 17.93414252825 3 1 1995 23017.3960 17.5762314 23462.4000 16.9096278 23938.1358 16.31332032825 3 1 1996 24399.4000 15.7351693 24451.2000 15.6702459 24601.8344 15.50425872825 3 1 1997 24610.5368 15.4946702 24660.9382 15.4391438 24681.7100 15.41626842825 3 1 1998 24700.8760 15.3951761 24711.2360 15.3837894 24717.4520 15.37696812825 3 1 1999 24723.6680 15.3701617 24727.8120 15.3656381 24731.4380 15.36169512825 3 1 2000 24734.5460 15.3583329 24737.1360 15.3555501 24739.2080 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