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 120000.000 0.0 1 0 572 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 SIGMA1 (VERSION 2007-1) ***************2825 1451 539 Data Doppler Broadened to 1200.00000 Kelvin 2825 1451 540 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 541 Data Linearized Using Energy Dependent Uncertainty 2825 1451 542 Energy Accuracy 2825 1451 543 (eV) (per-cent) 2825 1451 544 ----------- ----------- 2825 1451 545 0.0 .010000000 2825 1451 546 1.00000000 .010000000 2825 1451 547 10.0000000 .100000000 2825 1451 548 2.00000E+9 .100000000 2825 1451 549 ***************** Program SIGMA1 (VERSION 2007-1) ***************2825 1451 550 Data Doppler Broadened to 120000.000 Kelvin 2825 1451 551 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 552 Data Linearized Using Energy Dependent Uncertainty 2825 1451 553 Energy Accuracy 2825 1451 554 (eV) (per-cent) 2825 1451 555 ----------- ----------- 2825 1451 556 0.0 .010000000 2825 1451 557 1.00000000 .010000000 2825 1451 558 10.0000000 .100000000 2825 1451 559 2.00000E+9 .100000000 2825 1451 560 ***************** Program FIXUP (Version 2007-1) ****************2825 1451 561 Corrected ZA/AWR in All Sections-----------------------------Yes 2825 1451 562 Corrected Thresholds-----------------------------------------No 2825 1451 563 Extended Cross Sections to 20 MeV----------------------------No 2825 1451 564 Allow Cross Section Deletion---------------------------------Yes 2825 1451 565 Allow Cross Section Reconstruction---------------------------Yes 2825 1451 566 Make All Cross Sections Non-Negative-------------------------Yes 2825 1451 567 Delete Energies Not in Ascending Order-----------------------Yes 2825 1451 568 Deleted Duplicate Points-------------------------------------Yes 2825 1451 569 Check for Ascending MAT/MF/MT Order--------------------------Yes 2825 1451 570 Check for Legal MF/MT Numbers--------------------------------Yes 2825 1451 571 Allow Creation of Missing Sections---------------------------No 2825 1451 572 Allow Insertion of Energy Points-----------------------------No 2825 1451 573 Create Uniform Energy Grid-----------------------------------No 2825 1451 574 Delete Section if Cross Section =0 at All Energies-----------Yes 2825 1451 575 **************** Program DICTIN (VERSION 2007-1) ****************2825 1451 576 1 451 634 42825 1451 577 2 151 489 22825 1451 578 3 1 10217 32825 1451 579 3 2 4766 32825 1451 580 3 4 16 12825 1451 581 3 5 7 32825 1451 582 3 16 10 12825 1451 583 3 22 7 12825 1451 584 3 28 7 12825 1451 585 3 51 13 12825 1451 586 3 52 12 12825 1451 587 3 53 12 12825 1451 588 3 54 12 12825 1451 589 3 55 12 12825 1451 590 3 56 11 12825 1451 591 3 57 11 12825 1451 592 3 58 11 12825 1451 593 3 91 10 12825 1451 594 3 102 5532 42825 1451 595 3 103 12 12825 1451 596 3 104 11 12825 1451 597 3 107 14 12825 1451 598 4 2 3747 32825 1451 599 6 5 12919 32825 1451 600 6 16 233 12825 1451 601 6 22 401 12825 1451 602 6 28 492 12825 1451 603 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4.00000000 0.0 0.0 2825 2151 642 -11674.0000 .500000000 4262.70000 3.20000000 0.0 0.0 2825 2151 643 15306.0000 .500000000 1332.40000 .970000000 0.0 0.0 2825 2151 644 36133.0000 .500000000 18.3640000 1.72000000 0.0 0.0 2825 2151 645 63343.0000 .500000000 3855.00000 3.50000000 0.0 0.0 2825 2151 646 83391.0000 .500000000 3.95920000 1.16000000 0.0 0.0 2825 2151 647 108350.000 .500000000 1094.30000 4.80000000 0.0 0.0 2825 2151 648 124000.000 .500000000 463.130000 1.56000000 0.0 0.0 2825 2151 649 137620.000 .500000000 2035.00000 2.90000000 0.0 0.0 2825 2151 650 140300.000 .500000000 3119.50000 .900000000 0.0 0.0 2825 2151 651 158110.000 .500000000 5281.70000 3.30000000 0.0 0.0 2825 2151 652 168950.000 .500000000 424.020000 1.30000000 0.0 0.0 2825 2151 653 176140.000 .500000000 4.80000000 .560000000 0.0 0.0 2825 2151 654 191910.000 .500000000 2506.70000 3.30000000 0.0 0.0 2825 2151 655 206580.000 .500000000 7460.40000 6.90000000 0.0 0.0 2825 2151 656 211040.000 .500000000 56.9160000 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1846 35213.5490 8.59786912 35228.2786 8.58638625 35235.0563 8.578994422825 3 1 1847 35252.2620 8.56031881 35260.8649 8.55101424 35269.4678 8.541732572825 3 1 1848 35278.0706 8.53247391 35286.6735 8.52323767 35295.2764 8.514023312825 3 1 1849 35303.8793 8.50482992 35312.4821 8.49565649 35321.0850 8.486501582825 3 1 1850 35329.6879 8.47736395 35338.2908 8.46824222 35355.4965 8.450041052825 3 1 1851 35372.7023 8.43188715 35377.4965 8.42684040 35394.2094 8.403433082825 3 1 1852 35407.1138 8.38538159 35433.1982 8.34893074 35452.9684 8.321329602825 3 1 1853 35472.7385 8.29374657 35492.5088 8.26617927 35512.2789 8.238627872825 3 1 1854 35526.7143 8.21852295 35532.0491 8.20808234 35551.8193 8.169409372825 3 1 1855 35571.5895 8.13075885 35597.9498 8.07926979 35611.1299 8.053550572825 3 1 1856 35626.1929 8.02419462 35634.8227 7.99944531 35654.4360 7.943277312825 3 1 1857 35670.1266 7.89842014 35685.8172 7.85366041 35699.5466 7.814605602825 3 1 1858 35711.3146 7.78124044 35723.0825 7.74800872 35725.6714 7.740724932825 3 1 1859 35728.9665 7.72800674 35734.8505 7.70534453 35740.7344 7.682737532825 3 1 1860 35746.6184 7.66019211 35756.4250 7.62277641 35761.4068 7.603856902825 3 1 1861 35766.3886 7.58500475 35771.3704 7.56622679 35776.3521 7.547530782825 3 1 1862 35781.3339 7.52892394 35786.3157 7.51041524 35791.2975 7.492013872825 3 1 1863 35796.2792 7.47373004 35801.2610 7.45557350 35806.2428 7.437555752825 3 1 1864 35811.2246 7.41968860 35816.2063 7.40198485 35821.1881 7.384456852825 3 1 1865 35826.1699 7.36711866 35831.1517 7.34998457 35836.1334 7.333069732825 3 1 1866 35837.5849 7.32821392 35841.7233 7.32269493 35847.3130 7.315557672825 3 1 1867 35852.9028 7.30876035 35858.4926 7.30232636 35864.0824 7.296279212825 3 1 1868 35869.6722 7.29064247 35875.2620 7.28543949 35880.8517 7.280693292825 3 1 1869 35881.1067 7.28049862 35886.4416 7.29362374 35895.7578 7.317665182825 3 1 1870 35899.7589 7.32850217 35901.5634 7.33884125 35913.1744 7.407164102825 3 1 1871 35918.4111 7.43910084 35924.7855 7.50900329 35936.3965 7.638881032825 3 1 1872 35945.7167 7.74547362 35951.4909 7.84182406 35959.7755 7.981884372825 3 1 1873 35960.7797 8.00285979 35973.8343 8.27846330 35979.3574 8.417950522825 3 1 1874 35987.8931 8.63520468 35990.4193 8.70996234 36001.9519 9.052863972825 3 1 1875 36030.0695 10.0495169 36036.9107 10.3382417 36062.5178 11.41211662825 3 1 1876 36082.9783 12.2595196 36100.1753 12.9607837 36102.0268 13.02672042825 3 1 1877 36120.3346 13.6654451 36132.1966 14.0717536 36134.2804 14.14185822825 3 1 1878 36147.2095 14.4807323 36148.7535 14.5121422 36159.4231 14.72310972825 3 1 1879 36163.6281 14.8039660 36176.7769 14.9384688 36186.3168 15.03157782825 3 1 1880 36188.4821 15.0520276 36197.9279 15.0571646 36203.9217 15.05797582825 3 1 1881 36219.3613 14.9609118 36222.1228 14.9209584 36250.2404 14.50491152825 3 1 1882 36269.1947 14.0902619 36274.3178 13.9786897 36281.1980 13.80315122825 3 1 1883 36293.2013 13.4986000 36303.7140 13.2335981 36318.7770 12.85713322825 3 1 1884 36326.3085 12.6704389 36333.8400 12.4848052 36341.3715 12.30023992825 3 1 1885 36346.5495 12.1740663 36348.6285 12.1312481 36359.5139 11.90887112825 3 1 1886 36370.3992 11.6885923 36375.8420 11.5791989 36381.2847 11.47028382825 3 1 1887 36386.7274 11.3618260 36392.1700 11.2538074 36394.7040 11.20378212825 3 1 1888 36401.8884 11.0926832 36406.8114 11.0170229 36411.7343 10.94165802825 3 1 1889 36416.6573 10.8665697 36418.7813 10.8342865 36421.5802 10.80255042825 3 1 1890 36426.5032 10.7469765 36431.4261 10.6916357 36436.3490 10.63651222825 3 1 1891 36441.2719 10.5815916 36446.1949 10.5268592 36451.1178 10.47230382825 3 1 1892 36456.0407 10.4179117 36460.9636 10.3636709 36465.8866 10.30956862825 3 1 1893 36466.9358 10.2980657 36470.8095 10.2709715 36479.7629 10.20864502825 3 1 1894 36484.4701 10.1760153 36489.1773 10.1434709 36493.8845 10.11100472825 3 1 1895 36503.2988 10.0462818 36512.7132 9.98179827 36521.9314 9.918853892825 3 1 1896 36522.1276 9.91795849 36531.5420 9.87515890 36537.8182 9.846703252825 3 1 1897 36544.0945 9.81830002 36550.3707 9.78994355 36556.6470 9.761627132825 3 1 1898 36566.5320 9.71710965 36569.1995 9.70848397 36583.5172 9.662316882825 3 1 1899 36598.2271 9.61499304 36608.0338 9.58348951 36617.8404 9.552015242825 3 1 1900 36625.9995 9.52585653 36637.4537 9.50326171 36661.9703 9.454989952825 3 1 1901 36676.6802 9.42606118 36706.1002 9.36825768 36725.7134 9.329752862825 3 1 1902 36743.2085 9.29542230 36766.2737 9.25018043 36789.3389 9.204956352825 3 1 1903 36804.4019 9.17543588 36835.4693 9.14124453 36889.2882 9.082066652825 3 1 1904 36920.0418 9.04826988 36981.5490 8.98070749 37051.2154 8.904220192825 3 1 1905 37086.0486 8.86598780 37101.7393 8.84876924 37138.2984 8.825089082825 3 1 1906 37190.5482 8.79125651 37295.0477 8.72361597 37364.7141 8.678535872825 3 1 1907 37504.0469 8.58839843 37597.5769 8.52790424 37722.7813 8.446936602825 3 1 1908 37773.6675 8.42453760 38008.4550 8.32121451 38125.8488 8.269560222825 3 1 1909 38301.9394 8.19208581 38478.0299 8.11461898 38672.6494 8.029010342825 3 1 1910 38844.6520 7.95336377 38913.4530 7.92311191 38965.0538 7.900428772825 3 1 1911 39008.0545 7.88153655 39009.0465 7.88110125 39038.1550 7.873254612825 3 1 1912 39059.6553 7.86747845 39068.2554 7.86517593 39083.3056 7.861163162825 3 1 1913 39096.2059 7.85774733 39102.6559 7.85605059 39113.4061 7.853244122825 3 1 1914 39122.0062 7.85102309 39130.6064 7.84882909 39139.2065 7.846668512825 3 1 1915 39143.5065 7.84560306 39147.8066 7.84454887 39152.1066 7.843507162825 3 1 1916 39156.4067 7.84247914 39160.7068 7.84146622 39165.0069 7.840469872825 3 1 1917 39169.3069 7.83949172 39173.6070 7.83853345 39177.9070 7.837596962825 3 1 1918 39182.2071 7.83668419 39186.5071 7.83579732 39190.8072 7.834938582825 3 1 1919 39195.1073 7.83411041 39199.4074 7.83331539 39203.7074 7.832556272825 3 1 1920 39208.0075 7.83183591 39212.3075 7.83115739 39216.6076 7.830523902825 3 1 1921 39220.9076 7.82993884 39225.2030 7.82940629 39229.4938 7.828929752825 3 1 1922 39233.7845 7.82851248 39238.0752 7.82815842 39242.3659 7.827871712825 3 1 1923 39246.6566 7.82765660 39250.9473 7.82751747 39255.2380 7.827458812825 3 1 1924 39263.8195 7.82760137 39272.4009 7.82812191 39280.9823 7.829058802825 3 1 1925 39289.5637 7.83045043 39298.1452 7.83233433 39306.7266 7.834746162825 3 1 1926 39313.1626 7.83692130 39319.5987 7.83942429 39326.0347 7.842265772825 3 1 1927 39332.4709 7.84545468 39338.9069 7.84899738 39351.7790 7.857157672825 3 1 1928 39366.2194 7.86800549 39374.0312 7.87459308 39379.2117 7.879313362825 3 1 1929 39383.7960 7.88535391 39395.5138 7.90167002 39407.2315 7.918783872825 3 1 1930 39454.2688 7.99059421 39470.9235 8.01464022 39484.0750 8.032028082825 3 1 1931 39496.5438 8.04672185 39502.6000 8.05290031 39507.2907 8.055845592825 3 1 1932 39517.6665 8.06065179 39528.6954 8.06373747 39546.8667 8.063916692825 3 1 1933 39551.9934 8.06282186 39569.1000 8.05527036 39570.4954 8.053890672825 3 1 1934 39581.2125 8.04035443 39592.0782 8.02456694 39601.2813 8.009694222825 3 1 1935 39613.8094 7.98747702 39634.2641 7.94723448 39648.2722 7.917641292825 3 1 1936 39693.1248 7.81932953 39715.1838 7.77275594 39724.6376 7.753704132825 3 1 1937 39734.7374 7.73408059 39748.2038 7.70919385 39761.6702 7.685842672825 3 1 1938 39768.4034 7.67475126 39775.1366 7.66404625 39778.4441 7.658974402825 3 1 1939 39781.8698 7.65522502 39791.9696 7.64486294 39802.0694 7.635294532825 3 1 1940 39807.1193 7.63079273 39812.1692 7.62647018 39817.2191 7.622319722825 3 1 1941 39822.2690 7.61833390 39827.3189 7.61450515 39832.3688 7.610825752825 3 1 1942 39837.5317 7.60721036 39845.2760 7.60204682 39853.0202 7.597170312825 3 1 1943 39860.7645 7.59255392 39868.5088 7.58817196 39876.2531 7.583999942825 3 1 1944 39883.9973 7.58001486 39891.7416 7.57619515 39895.6138 7.574341042825 3 1 1945 39899.4859 7.57252102 39903.3580 7.57073283 39907.2301 7.568974352825 3 1 1946 39911.1022 7.56724357 39914.9743 7.56553857 39918.8465 7.563857522825 3 1 1947 39922.7186 7.56219877 39926.5908 7.56056063 39930.4629 7.558941662825 3 1 1948 39938.2072 7.55575539 39945.9514 7.55262957 39953.6957 7.549554932825 3 1 1949 39961.4400 7.54652352 39969.1843 7.54352844 39974.3471 7.541548942825 3 1 1950 39979.5100 7.53958134 39984.6728 7.53762431 39989.8356 7.535676582825 3 1 1951 40000.1613 7.53180459 40010.4870 7.52795788 40018.2312 7.525085832825 3 1 1952 40025.9755 7.52222256 40038.8826 7.51746568 40049.2083 7.513670472825 3 1 1953 40069.8597 7.50609835 40100.8367 7.49476621 40152.4651 7.475906982825 3 1 1954 40243.3311 7.44273799 40431.2585 7.37416344 40592.3391 7.315395862825 3 1 1955 41021.8875 7.15869992 41259.6041 7.07198815 41452.0000 7.008270122825 3 1 1956 42031.9459 6.81620944 42611.8917 6.62415398 43161.3345 6.442204812825 3 1 1957 43408.5837 6.36033134 43463.5279 6.34214065 43497.3645 6.330943272825 3 1 1958 43529.1866 6.32042306 43554.6443 6.31202321 43573.7376 6.305741002825 3 1 1959 43583.2842 6.30260850 43592.8308 6.29948358 43605.5597 6.295331842825 3 1 1960 43618.2885 6.29120174 43624.6530 6.28914665 43631.0174 6.287099402825 3 1 1961 43637.3818 6.28506094 43643.7462 6.28303234 43650.1107 6.281014712825 3 1 1962 43659.6573 6.27801173 43669.2039 6.27504096 43678.7506 6.272107482825 3 1 1963 43688.2972 6.26921688 43697.8439 6.26637508 43707.3905 6.263588462825 3 1 1964 43716.9371 6.26086359 43726.4838 6.25820718 43736.0304 6.255626092825 3 1 1965 43742.3948 6.25395047 43748.7593 6.25231314 43755.1237 6.250715942825 3 1 1966 43761.4881 6.24916054 43767.8525 6.24764844 43780.5814 6.244759262825 3 1 1967 43793.3102 6.24205625 43806.0391 6.23954249 43815.5857 6.237780082825 3 1 1968 43825.1324 6.23611930 43844.2256 6.23307700 43856.9545 6.231224442825 3 1 1969 43904.5356 6.22486980 43923.1726 6.22223819 43948.0219 6.218152032825 3 1 1970 43958.6659 6.21610589 43970.1662 6.21364605 43981.4490 6.210951382825 3 1 1971 43992.6094 6.20798791 44002.3425 6.20514809 44012.9970 6.201758282825 3 1 1972 44023.4944 6.19812847 44034.2267 6.19412332 44045.8154 6.189476112825 3 1 1973 44057.4788 6.18448101 44067.7718 6.17983016 44079.8176 6.174131322825 3 1 1974 44103.5574 6.16225704 44121.0986 6.15311320 44162.0278 6.131460202825 3 1 1975 44185.4159 6.11937456 44196.5017 6.11380543 44205.3703 6.109439072825 3 1 1976 44214.2389 6.10515774 44223.1074 6.10096518 44236.4103 6.094846672825 3 1 1977 44249.7132 6.08893283 44256.3645 6.08605121 44263.0160 6.083218172825 3 1 1978 44269.6674 6.08043239 44276.3189 6.07769210 44282.9703 6.074995502825 3 1 1979 44289.6217 6.07234055 44300.7074 6.06800231 44309.5760 6.064603792825 3 1 1980 44318.4446 6.06126354 44327.3131 6.05797626 44336.1817 6.054736642825 3 1 1981 44345.0503 6.05153969 44353.9189 6.04838063 44362.7874 6.045255022825 3 1 1982 44367.2217 6.04370342 44373.8732 6.04138865 44380.5246 6.039087722825 3 1 1983 44387.1761 6.03679912 44393.8275 6.03452159 44400.4789 6.032253872825 3 1 1984 44407.1303 6.02999483 44420.4332 6.02549884 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