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 1800.00000 0.0 1 0 561 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 1800.00000 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 FIXUP (Version 2007-1) ****************2825 1451 550 Corrected ZA/AWR in All Sections-----------------------------Yes 2825 1451 551 Corrected Thresholds-----------------------------------------No 2825 1451 552 Extended Cross Sections to 20 MeV----------------------------No 2825 1451 553 Allow Cross Section Deletion---------------------------------Yes 2825 1451 554 Allow Cross Section Reconstruction---------------------------Yes 2825 1451 555 Make All Cross Sections Non-Negative-------------------------Yes 2825 1451 556 Delete Energies Not in Ascending Order-----------------------Yes 2825 1451 557 Deleted Duplicate Points-------------------------------------Yes 2825 1451 558 Check for Ascending MAT/MF/MT Order--------------------------Yes 2825 1451 559 Check for Legal MF/MT Numbers--------------------------------Yes 2825 1451 560 Allow Creation of Missing Sections---------------------------No 2825 1451 561 Allow Insertion of Energy Points-----------------------------No 2825 1451 562 Create Uniform Energy Grid-----------------------------------No 2825 1451 563 Delete Section if Cross Section =0 at All Energies-----------Yes 2825 1451 564 **************** Program DICTIN (VERSION 2007-1) ****************2825 1451 565 1 451 623 42825 1451 566 2 151 489 22825 1451 567 3 1 22166 32825 1451 568 3 2 8995 32825 1451 569 3 4 16 12825 1451 570 3 5 7 32825 1451 571 3 16 10 12825 1451 572 3 22 7 12825 1451 573 3 28 7 12825 1451 574 3 51 13 12825 1451 575 3 52 12 12825 1451 576 3 53 12 12825 1451 577 3 54 12 12825 1451 578 3 55 12 12825 1451 579 3 56 11 12825 1451 580 3 57 11 12825 1451 581 3 58 11 12825 1451 582 3 91 10 12825 1451 583 3 102 13399 42825 1451 584 3 103 12 12825 1451 585 3 104 11 12825 1451 586 3 107 14 12825 1451 587 4 2 3747 32825 1451 588 6 5 12919 32825 1451 589 6 16 233 12825 1451 590 6 22 401 12825 1451 591 6 28 492 12825 1451 592 6 51 47 22825 1451 593 6 52 41 12825 1451 594 6 53 41 12825 1451 595 6 54 7 12825 1451 596 6 55 7 12825 1451 597 6 56 41 12825 1451 598 6 57 41 12825 1451 599 6 58 7 12825 1451 600 6 91 1233 12825 1451 601 6 103 1112 12825 1451 602 6 107 1077 12825 1451 603 12 51 3 12825 1451 604 12 52 3 12825 1451 605 12 53 3 12825 1451 606 12 54 3 12825 1451 607 12 55 3 12825 1451 608 12 56 3 12825 1451 609 12 57 3 12825 1451 610 12 58 3 12825 1451 611 12 102 985 42825 1451 612 14 51 1 12825 1451 613 14 52 1 12825 1451 614 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1842 24731.1386 15.3682012 24731.5999 15.3680884 24732.5226 15.36795572825 3 1 1843 24733.4453 15.3679608 24734.3680 15.3681215 24735.2907 15.36845612825 3 1 1844 24736.2134 15.3689831 24737.1360 15.3697207 24737.6864 15.37026832825 3 1 1845 24738.2368 15.3709006 24739.3375 15.3724319 24740.4383 15.37433712825 3 1 1846 24741.5390 15.3766319 24742.9150 15.3800590 24743.7405 15.38241032825 3 1 1847 24745.3917 15.3877446 24747.2370 15.3945810 24748.5320 15.39980072825 3 1 1848 24752.4170 15.4161208 24753.7120 15.4212273 24755.1689 15.42639502825 3 1 1849 24756.3020 15.4298288 24757.4675 15.4326921 24758.3870 15.43439932825 3 1 1850 24759.4100 15.4356646 24760.3424 15.4361947 24761.9964 15.43559252825 3 1 1851 24763.0360 15.4341826 24764.8749 15.4297756 24766.0145 15.42588962825 3 1 1852 24768.0218 15.4171708 24770.2880 15.4050822 24771.5830 15.39745972825 3 1 1853 24775.7918 15.3716433 24778.0580 15.3584755 24779.7092 15.34967692825 3 1 1854 24780.5347 15.3455818 24781.3603 15.3417028 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14.7592054 25558.3598 14.5614541 25660.1749 14.46259652825 3 1 1868 25711.0824 14.4131779 25749.2631 14.3761221 25784.2620 14.34216442825 3 1 1869 25828.8062 14.2989680 25861.4188 14.2673723 25887.2703 14.24235992825 3 1 1870 25897.6109 14.2323680 25915.7070 14.2149102 25923.4624 14.20744342825 3 1 1871 25931.2178 14.1999889 25938.3851 14.1931136 25949.8405 14.18216212825 3 1 1872 25959.0048 14.1734478 25963.5869 14.1691125 25968.1690 14.16479592825 3 1 1873 25971.8213 14.1613717 25975.9050 14.1575642 25981.3500 14.15253132825 3 1 1874 25986.7950 14.1475650 25991.5594 14.1432952 25995.4163 14.13991042825 3 1 1875 25997.5338 14.1380884 25999.6513 14.1362994 26002.8275 14.13369822825 3 1 1876 26005.4744 14.1316394 26007.5919 14.1301027 26008.6507 14.12938712825 3 1 1877 26010.3144 14.1283622 26011.8269 14.1275748 26012.5832 14.12725002825 3 1 1878 26013.9066 14.1268273 26015.0410 14.1266541 26015.6082 14.12664982825 3 1 1879 26016.1754 14.1267105 26016.7425 14.1268453 26017.3098 14.12706412825 3 1 1880 26017.8769 14.1273783 26018.4441 14.1278006 26019.3894 14.12878392825 3 1 1881 26020.1457 14.1298663 26020.9019 14.1312604 26021.2800 14.13210722825 3 1 1882 26021.4124 14.1327956 26022.2065 14.1372965 26023.0006 14.14231642825 3 1 1883 26023.7946 14.1479390 26024.5887 14.1542606 26025.3827 14.16138552825 3 1 1884 26026.1768 14.1694327 26026.9709 14.1785304 26027.7649 14.18881742825 3 1 1885 26028.5590 14.2004479 26029.3531 14.2135827 26030.1282 14.22801812825 3 1 1886 26030.8844 14.2437998 26031.8298 14.2661354 26032.3969 14.28104522825 3 1 1887 26032.9641 14.2971764 26033.5313 14.3145951 26033.9850 14.32961222825 3 1 1888 26034.0985 14.3345539 26034.6657 14.3606701 26035.2329 14.38826972825 3 1 1889 26035.8000 14.4174063 26036.4050 14.4502510 26037.0100 14.48497082825 3 1 1890 26038.2200 14.5602254 26039.4300 14.6434391 26040.8858 14.75417282825 3 1 1891 26041.6232 14.8145862 26042.6063 14.8994220 26044.5725 15.08221782825 3 1 1892 26046.0850 15.2321966 26050.0175 15.6347246 26052.7098 15.89035912825 3 1 1893 26054.6760 16.0486653 26055.7650 16.1218747 26056.9448 16.18746872825 3 1 1894 26058.8203 16.2591202 26059.6552 16.2755683 26059.9964 16.27533582825 3 1 1895 26061.8453 16.2394770 26062.9343 16.1990705 26064.1140 16.14018372825 3 1 1896 26065.0820 16.0810610 26066.0500 16.0122154 26066.2920 15.99257802825 3 1 1897 26067.3810 15.8943145 26068.7120 15.7640789 26070.2850 15.60005452825 3 1 1898 26075.1250 15.0808636 26076.2594 14.9659089 26077.3938 14.85618522825 3 1 1899 26079.0575 14.7063782 26079.9650 14.6307462 26081.1750 14.54749592825 3 1 1900 26082.3850 14.4722537 26082.9900 14.4375899 26083.5950 14.40484852825 3 1 1901 26084.1623 14.3758493 26084.7294 14.3484577 26085.2966 14.32260492825 3 1 1902 26085.8638 14.2982372 26086.4310 14.2752924 26086.9982 14.25370502825 3 1 1903 26087.5654 14.2334079 26088.1325 14.2143356 26089.0400 14.18624082825 3 1 1904 26089.0779 14.1853846 26089.8908 14.1693374 26090.3824 14.16058312825 3 1 1905 26090.8740 14.1524928 26091.3656 14.1450248 26091.8571 14.13813992825 3 1 1906 26092.3487 14.1317964 26092.8402 14.1259592 26093.5775 14.11807152825 3 1 1907 26094.3149 14.1111241 26095.0523 14.1050120 26095.7896 14.09963832825 3 1 1908 26096.5269 14.0949131 26097.2643 14.0907551 26097.6802 14.08863272825 3 1 1909 26098.1907 14.0862251 26098.7012 14.0840160 26099.2116 14.08198682825 3 1 1910 26099.7221 14.0801192 26100.2325 14.0783980 26100.7431 14.07680752825 3 1 1911 26101.2535 14.0753357 26101.7640 14.0739695 26102.2744 14.07269832825 3 1 1912 26102.7849 14.0715118 26103.8059 14.0693580 26104.8268 14.06744662825 3 1 1913 26106.0179 14.0654564 26106.6985 14.0644121 26108.0597 14.06248172825 3 1 1914 26109.3832 14.0607615 26110.3663 14.0595593 26111.3494 14.05840752825 3 1 1915 26113.3157 14.0562182 26114.7904 14.0546505 26116.2650 14.05312922825 3 1 1916 26119.2144 14.0501872 26121.1807 14.0482804 26123.1469 14.04640652825 3 1 1917 26126.7013 14.0430835 26129.2725 14.0407206 26131.8438 14.03838482825 3 1 1918 26136.9863 14.0337779 26139.5575 14.0315004 26143.4144 14.02810972825 3 1 1919 26147.0794 14.0249114 26154.2174 14.0187338 26158.9761 14.01464472825 3 1 1920 26163.7348 14.0105738 26173.2522 14.0024742 26185.4312 13.99216842825 3 1 1921 26193.4157 13.9854371 26209.3849 13.9720158 26220.0309 13.96309092825 3 1 1922 26241.3230 13.9452782 26267.9381 13.9230599 26280.7398 13.91238702825 3 1 1923 26297.5421 13.8983905 26314.3443 13.8844066 26331.1465 13.87043512825 3 1 1924 26347.9487 13.8564769 26364.7509 13.8425336 26391.1544 13.82065982825 3 1 1925 26411.9571 13.8034674 26422.3585 13.7948897 26440.5610 13.77991812825 3 1 1926 26456.6725 13.7667217 26469.1119 13.7565817 26481.5512 13.74649932825 3 1 1927 26487.7709 13.7414858 26493.9906 13.7364950 26500.2102 13.73153132825 3 1 1928 26509.8675 13.7238902 26518.5975 13.7170716 26522.9625 13.71370272825 3 1 1929 26527.3275 13.7103664 26534.9663 13.7046239 26538.2400 13.70220832825 3 1 1930 26545.0604 13.6972866 26550.5166 13.6934848 26555.9729 13.68984102825 3 1 1931 26561.1563 13.6865706 26565.5213 13.6840052 26569.8863 13.68166552825 3 1 1932 26572.0688 13.6806018 26574.2513 13.6796239 26576.4338 13.67874682825 3 1 1933 26579.7075 13.6776755 26579.9804 13.6788588 26581.6173 13.68609312825 3 1 1934 26583.2541 13.6934345 26586.1187 13.7066094 26588.5740 13.71834932825 3 1 1935 26589.8016 13.7244310 26590.9611 13.7303436 26591.9841 13.73572592825 3 1 1936 26593.0072 13.7412976 26594.7123 13.7511187 26596.0763 13.75960712825 3 1 1937 26597.4404 13.7688524 26598.1224 13.7738315 26598.8044 13.77909662825 3 1 1938 26599.9980 13.7891312 26601.0210 13.7987424 26602.0782 13.80989322825 3 1 1939 26602.6238 13.8162222 26603.1694 13.8229997 26603.1695 13.82300112825 3 1 1940 26603.7150 13.8474057 26604.2607 13.8723704 26604.8063 13.89793962825 3 1 1941 26605.3519 13.9241813 26605.8975 13.9511639 26606.8524 14.00039712825 3 1 1942 26607.6708 14.0449121 26608.4893 14.0918979 26609.3077 14.14168152825 3 1 1943 26609.9898 14.1858175 26610.1261 14.2023505 26611.0810 14.32272032825 3 1 1944 26611.8994 14.4302644 26612.7179 14.5423435 26613.5363 14.65940332825 3 1 1945 26614.1502 14.7507835 26614.6276 14.8244062 26614.7640 14.85380942825 3 1 1946 26615.3778 14.9896254 26615.9916 15.1291506 26616.6054 15.27258882825 3 1 1947 26617.0829 15.3887629 26617.7308 15.5805597 26618.3447 15.76852072825 3 1 1948 26618.9585 15.9610589 26619.2654 16.0609220 26620.1862 16.41081082825 3 1 1949 26621.3115 16.8566005 26621.4138 16.9028212 26622.2664 17.29995002825 3 1 1950 26623.0848 17.6903234 26623.3575 17.8247652 26624.7217 18.59947962825 3 1 1951 26625.8129 19.2373334 26626.9314 19.9044710 26627.2042 20.07009782825 3 1 1952 26628.2000 20.7370920 26632.6332 23.7538507 26634.0518 24.70469792825 3 1 1953 26634.2700 24.8325167 26635.5795 25.5774193 26636.7254 26.20660022825 3 1 1954 26637.8711 26.8081064 26637.9803 26.8527517 26639.5080 27.41919872825 3 1 1955 26639.8900 27.5265719 26640.8721 27.7640176 26641.1449 27.82189642825 3 1 1956 26641.9088 27.9033907 26642.9924 27.9841733 26643.0175 27.98520502825 3 1 1957 26644.0913 27.9111771 26644.6915 27.8503800 26645.1280 27.74458082825 3 1 1958 26646.9285 27.2343564 26647.8015 26.9545518 26647.9107 26.90236282825 3 1 1959 26649.1111 26.2977747 26651.2936 25.1234121 26651.5118 24.98419092825 3 1 1960 26652.9850 24.0054050 26657.7319 20.7917954 26658.9596 19.97870022825 3 1 1961 26660.0850 19.3063167 26661.0398 18.7515189 26662.7108 17.80697662825 3 1 1962 26663.0518 17.6210247 26664.1090 17.1276655 26665.0979 16.68359442825 3 1 1963 26665.3366 16.5895761 26666.5643 16.1260538 26667.1440 15.91409292825 3 1 1964 26667.1781 15.9041252 26668.3035 15.5873009 26668.9173 15.42084182825 3 1 1965 26669.5311 15.2586335 26670.1450 15.1004607 26670.7588 14.94617622825 3 1 1966 26671.0997 14.8625193 26671.3726 14.8176856 26672.3957 14.65716892825 3 1 1967 26673.2141 14.5350191 26674.0325 14.4178969 26674.8851 14.30071722825 3 1 1968 26675.3625 14.2370708 26675.8399 14.1747265 26675.8740 14.17036032825 3 1 1969 26676.3173 14.1392502 26676.7948 14.1068789 26677.2722 14.07557612825 3 1 1970 26677.7496 14.0452615 26678.2270 14.0158651 26678.7045 13.98731452825 3 1 1971 26679.1819 13.9595584 26679.6593 13.9325314 26680.6141 13.88044322825 3 1 1972 26681.5689 13.8306409 26682.0463 13.8064831 26682.2851 13.79473112825 3 1 1973 26683.0524 13.7813741 26683.9732 13.7667776 26685.0474 13.75117872825 3 1 1974 26685.6612 13.7428481 26686.2750 13.7348808 26686.8888 13.72723492825 3 1 1975 26688.1165 13.7127601 26689.3441 13.6991740 26690.5718 13.68627742825 3 1 1976 26691.4925 13.6769657 26692.4815 13.6672414 26693.2317 13.66002612825 3 1 1977 26694.3571 13.6494189 26695.4825 13.6390272 26696.6078 13.62881212825 3 1 1978 26698.6538 13.6106116 26698.8585 13.6102366 26700.3589 13.60772342825 3 1 1979 26701.8594 13.6053560 26703.3598 13.6031092 26705.2013 13.60048822825 3 1 1980 26708.4750 13.5961259 26711.7488 13.5920593 26713.9313 13.58947802825 3 1 1981 26716.1138 13.5869827 26720.4788 13.5822046 26722.9341 13.57961992825 3 1 1982 26725.6623 13.5768197 26728.3904 13.5740846 26733.8466 13.56877572825 3 1 1983 26739.3029 13.5636379 26745.1683 13.5582615 26748.7149 13.55506982825 3 1 1984 26755.8081 13.5487927 26762.9012 13.5426288 26771.7675 13.53504422825 3 1 1985 26776.9510 13.5306585 26782.1344 13.5263021 26792.5013 13.51766032825 3 1 1986 26802.8682 13.5090926 26810.6433 13.5027045 26821.7402 13.49363122825 3 1 1987 26830.2453 13.4867051 26838.7505 13.4797989 26855.7608 13.46603312825 3 1 1988 26872.7710 13.4523143 26892.2113 13.4366772 26914.0816 13.41912402825 3 1 1989 26930.4843 13.4059789 26946.8870 13.3928470 26980.9075 13.36564102825 3 1 1990 27017.3581 13.3365236 27065.9588 13.2977342 27126.7097 13.24928162825 3 1 1991 27206.9009 13.1853567 27308.9624 13.1040289 27415.7659 13.01894572825 3 1 1992 27473.7326 12.9727786 27506.1398 12.9469760 27538.5470 12.92118962825 3 1 1993 27557.4512 12.9061694 27568.4313 12.8974665 27572.5711 12.89419532825 3 1 1994 27575.6760 12.8917502 27579.2983 12.8889176 27581.8857 12.88692202825 3 1 1995 27582.9206 12.8861355 27584.7318 12.8847838 27585.5080 12.88421762825 3 1 1996 27586.2843 12.8836615 27587.0604 12.8831179 27587.8367 12.88258882825 3 1 1997 27588.8716 12.8819114 27589.9066 12.8812733 27590.9415 12.88068452825 3 1 1998 27591.4590 12.8804122 27591.9764 12.8801568 27592.4939 12.87992022825 3 1 1999 27593.0113 12.8797043 27593.5059 12.8795193 27593.9775 12.87936432825 3 1 2000 27594.4491 12.8792320 27594.9207 12.8791245 27595.3924 12.87904392825 3 1 2001 27595.8640 12.8789925 27596.3356 12.8789726 27596.8072 12.87898692825 3 1 2002 27597.2789 12.8790379 27597.7505 12.8791285 27598.2221 12.87926162825 3 1 2003 27598.6937 12.8794402 27599.1654 12.8796675 27599.6370 12.87994682825 3 1 2004 27600.1086 12.8802814 27600.5802 12.8806749 27601.0519 12.88113082825 3 1 2005 27601.9951 12.8822441 27602.9384 12.8836511 27603.8816 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491581.768 .0314087302825 310241902 491588.302 .029138207 491598.880 .025971582 491604.480 .0245422692825 310241903 491610.080 .023275749 491615.680 .022164112 491621.280 .0211987522825 310241904 491626.880 .020370764 491632.480 .019671259 491638.360 .0190656272825 310241905 491644.520 .018562594 491650.680 .018184147 491662.580 .0177726602825 310241906 491670.560 .017709759 491678.540 .017801009 491686.520 .0180338462825 310241907 491694.500 .018396767 491702.480 .018878648 491712.336 .0196209352825 310241908 491732.048 .021499132 491769.680 .025699917 491783.120 .0270347732825 310241909 491800.234 .028317414 491816.608 .028930570 491822.656 .0289794982825 310241910 491838.672 .028620911 491847.632 .028117188 491856.592 .0274128042825 310241911 491874.512 .025496626 491887.952 .023733879 491926.480 .0181727492825 310241912 491948.880 .015193995 491965.680 .013256276 491975.200 .0122836542825 310241913 491990.880 .010876197 492006.560 .009693341 492022.240 .0087073952825 310241914 492039.600 .007809100 492056.400 .007098094 492067.600 .0066952702825 310241915 492078.800 .006340362 492101.200 .005748966 492123.600 .0052820312825 310241916 492151.600 .004828121 492168.400 .004608926 492185.200 .0044214442825 310241917 492221.073 .004105205 492244.690 .003946200 492268.307 .0038178102825 310241918 492315.541 .003633420 492362.378 .003524714 492397.210 .0034821892825 310241919 492432.041 .003467992 492467.484 .003480381 492502.926 .0035188742825 310241920 492538.369 .003583714 492598.255 .003757685 492647.141 .0039688692825 310241921 492696.027 .004257005 492720.470 .004436257 492744.913 .0046434452825 310241922 492769.356 .004882772 492795.022 .005174159 492829.242 .0056385042825 310241923 492863.462 .006207964 492897.682 .006905995 492917.970 .0073907562825 310241924 492953.168 .008373472 492988.367 .009547330 493009.877 .0103550342825 310241925 493088.095 .013580946 493107.649 .014329607 493127.204 .0149850412825 310241926 493156.535 .015713557 493172.668 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310241939 493719.874 .105148542 493726.077 .108466820 493732.279 .1111107282825 310241940 493738.924 .113115889 493750.000 .114400416 493756.202 .1139587892825 310241941 493767.500 .111057682 493779.241 .105433102 493792.531 .0965076002825 310241942 493799.842 .090772106 493828.638 .066188664 493844.145 .0537730182825 310241943 493850.790 .048941619 493857.436 .044456551 493867.404 .0384137072825 310241944 493876.264 .033733043 493885.125 .029673534 493893.985 .0261881772825 310241945 493898.969 .024457659 493904.507 .022711943 493910.045 .0211374982825 310241946 493915.583 .019718822 493921.121 .018440981 493926.659 .0172898342825 310241947 493932.197 .016252195 493937.735 .015315918 493944.103 .0143502922825 310241948 493954.902 .012944148 493962.101 .012142698 493969.300 .0114320052825 310241949 493976.500 .010799154 493990.898 .009725669 494006.404 .0087938722825 310241950 494020.249 .008110718 494031.325 .007643463 494042.400 .0072337392825 310241951 494064.552 .006551282 494086.703 .006008720 494102.209 .0056921942825 310241952 494117.715 .005417235 494148.727 .004965444 494179.739 .0046126962825 310241953 494202.998 .004396815 494244.810 .004087153 494290.221 .0038354002825 310241954 494324.279 .003689131 494358.337 .003570946 494392.394 .0034754782825 310241955 494438.082 .003376310 494483.769 .003304115 494575.144 .0032220132825 310241956 494647.136 .003203449 494702.515 .003212858 494813.272 .0032905552825 310241957 494901.878 .003415850 494979.409 .003593538 495009.097 .0036890012825 310241958 495055.630 .003893524 495074.243 .004007235 495097.509 .0042016402825 310241959 495106.816 .004308444 495116.122 .004443985 495123.102 .0045731822825 310241960 495130.081 .004735936 495139.387 .005027857 495144.644 .0052451052825 310241961 495151.652 .005615363 495158.660 .006107133 495162.164 .0064108112825 310241962 495168.297 .007057607 495173.553 .007752603 495178.809 .0086055662825 310241963 495184.065 .009646550 495189.321 .010908586 495194.577 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495912.533 .0138451562825 310241989 495916.235 .014680475 495919.936 .015604818 495927.339 .0177418052825 310241990 495934.842 .020326923 495942.344 .023351944 495946.095 .0250291292825 310241991 495951.722 .027742584 495957.348 .030674450 495963.271 .0339640752825 310241992 495987.357 .048264294 495999.597 .054876043 496009.468 .0591417772825 310241993 496018.944 .061955801 496024.315 .062895271 496031.619 .0633516172825 310241994 496036.260 .063140703 496041.778 .062391457 496051.069 .0599818152825 310241995 496056.266 .058073008 496062.761 .055216198 496069.257 .0519428502825 310241996 496100.438 .034281021 496106.068 .031332331 496115.920 .0266716592825 310241997 496124.365 .023258117 496128.587 .021763284 496132.810 .0204087232825 310241998 496137.032 .019191864 496141.579 .018029227 496148.508 .0165343252825 310241999 496155.437 .015343445 496162.366 .014419702 496167.562 .0138800032825 310242000 496176.657 .013203241 496185.751 .012809692 496191.814 .0126778012825 310242001 496197.877 .012636750 496203.940 .012679105 496210.003 .0128011532825 310242002 496216.065 .013002788 496222.128 .013287535 496228.191 .0136621842825 310242003 496238.802 .014565810 496247.896 .015639816 496256.991 .0170508072825 310242004 496264.568 .018528400 496269.765 .019720142 496274.962 .0210684582825 310242005 496280.159 .022581249 496285.355 .024263364 496290.552 .0261171482825 310242006 496300.946 .030323561 496307.875 .033462537 496316.536 .0376809952825 310242007 496337.756 .048480450 496351.615 .054764760 496358.110 .0571783062825 310242008 496363.957 .058957625 496369.803 .060307851 496375.212 .0611388372825 310242009 496382.618 .061584849 496392.452 .060917930 496397.687 .0599952102825 310242010 496403.398 .058572539 496409.346 .056675192 496421.243 .0518573952825 310242011 496431.099 .047174558 496450.428 .037523605 496463.225 .0316349522825 310242012 496473.157 .027650476 496478.123 .025884215 496483.089 .0242747622825 310242013 496488.055 .022821862 496493.021 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