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 12000.0000 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 12000.0000 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 17695 32825 1451 579 3 2 7618 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 10140 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 6 51 47 22825 1451 604 6 52 41 12825 1451 605 6 53 41 12825 1451 606 6 54 7 12825 1451 607 6 55 7 12825 1451 608 6 56 41 12825 1451 609 6 57 41 12825 1451 610 6 58 7 12825 1451 611 6 91 1233 12825 1451 612 6 103 1112 12825 1451 613 6 107 1077 12825 1451 614 12 51 3 12825 1451 615 12 52 3 12825 1451 616 12 53 3 12825 1451 617 12 54 3 12825 1451 618 12 55 3 12825 1451 619 12 56 3 12825 1451 620 12 57 3 12825 1451 621 12 58 3 12825 1451 622 12 102 985 42825 1451 623 14 51 1 12825 1451 624 14 52 1 12825 1451 625 14 53 1 12825 1451 626 14 54 1 12825 1451 627 14 55 1 12825 1451 628 14 56 1 12825 1451 629 14 57 1 12825 1451 630 14 58 1 12825 1451 631 14 102 1 42825 1451 632 15 102 239 12825 1451 633 33 16 39 42825 1451 634 2825 1 0 635 2825 0 0 636 28058.0000 57.4380000 0 0 1 02825 2151 637 28058.0000 1.00000000 0 0 1 02825 2151 638 1.00000E-5 812000.000 1 3 0 12825 2151 639 0.0 .640000000 1 0 3 32825 2151 640 57.4380000 .630350000 0 0 402 672825 2151 641 -78318.0000 .500000000 40685.0000 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 26595.1471 15.4771392 26599.8275 15.8958376 26600.0321 15.91469142825 3 1 1847 26602.9649 16.2229793 26606.5285 16.6039395 26616.9465 17.73159982825 3 1 1848 26620.6807 18.1263200 26622.9143 18.3244997 26628.5325 18.79298272825 3 1 1849 26631.6783 19.0371963 26632.7355 19.1144365 26634.3383 19.17457902825 3 1 1850 26639.2477 19.3260825 26642.9968 19.4111338 26643.0120 19.41137992825 3 1 1851 26645.9444 19.3700912 26648.3683 19.3178685 26650.8570 19.19102982825 3 1 1852 26655.9859 18.8845454 26659.1505 18.6756000 26659.4643 18.65368362825 3 1 1853 26662.0969 18.3929391 26665.9504 17.9983945 26679.5570 16.55608202825 3 1 1854 26683.4617 16.1466355 26688.6281 15.6184167 26690.5983 15.42357342825 3 1 1855 26692.5668 15.2615173 26694.5362 15.1041557 26696.5055 14.95010322825 3 1 1856 26698.5743 14.7930555 26699.9199 14.7093226 26701.4971 14.61454082825 3 1 1857 26703.0743 14.5218441 26704.6515 14.4311875 26706.2287 14.34251552825 3 1 1858 26706.5502 14.3248318 26707.8059 14.2773148 26709.3831 14.21947972825 3 1 1859 26711.7488 14.1360229 26714.1360 14.0555548 26716.5231 13.97854982825 3 1 1860 26717.7167 13.9412459 26718.9102 13.9046932 26720.1038 13.86884692825 3 1 1861 26721.2973 13.8336750 26722.4909 13.7991341 26722.5021 13.79881562825 3 1 1862 26723.6844 13.7804224 26724.8780 13.7624148 26726.0715 13.74493572825 3 1 1863 26727.2651 13.7279484 26728.4586 13.7114236 26729.6522 13.69532732825 3 1 1864 26731.6983 13.6686501 26733.4034 13.6472162 26734.4661 13.63425922825 3 1 1865 26735.1085 13.6303028 26736.8135 13.6203772 26738.5186 13.61096242825 3 1 1866 26740.2237 13.6020009 26741.9288 13.5934395 26743.6338 13.58523102825 3 1 1867 26744.9126 13.5792794 26746.1914 13.5734849 26747.4703 13.56783212825 3 1 1868 26748.7491 13.5623076 26750.0279 13.5568984 26751.3066 13.55159322825 3 1 1869 26752.5855 13.5463800 26753.8643 13.5412506 26754.4059 13.53910982825 3 1 1870 26755.1431 13.5381820 26756.4219 13.5366391 26758.7751 13.53395082825 3 1 1871 26761.3675 13.5311770 26763.9600 13.5285597 26767.2005 13.52545832825 3 1 1872 26769.1449 13.5236684 26771.0892 13.5219214 26774.9778 13.51852802825 3 1 1873 26777.5702 13.5163235 26782.7551 13.5120125 26785.3475 13.50989342825 3 1 1874 26789.2361 13.5067479 26793.1248 13.5036331 26801.7689 13.49678702825 3 1 1875 26806.0949 13.4933902 26812.5840 13.4883222 26819.0731 13.48328052825 3 1 1876 26825.5621 13.4782600 26838.5402 13.4682687 26847.1922 13.46163692825 3 1 1877 26855.8443 13.4550231 26873.7678 13.4413669 26893.5498 13.42634642825 3 1 1878 26918.2773 13.4076230 26933.1138 13.3964090 26962.7868 13.37401292825 3 1 1879 26997.4053 13.3479218 27041.6585 13.3146072 27070.8189 13.29267052825 3 1 1880 27129.1398 13.2488215 27202.0409 13.1940387 27260.3617 13.15022672825 3 1 1881 27367.0472 13.0701032 27460.3970 13.0000156 27490.4890 12.97743472825 3 1 1882 27502.2184 12.9686483 27507.2453 12.9648930 27510.5966 12.96239602825 3 1 1883 27513.9478 12.9599068 27518.9747 12.9561946 27523.1638 12.95313032825 3 1 1884 27526.5150 12.9507066 27528.1907 12.9495065 27529.8663 12.94831612825 3 1 1885 27531.5420 12.9471366 27534.4744 12.9451032 27536.9878 12.94339782825 3 1 1886 27539.5012 12.9417339 27542.0147 12.9401194 27544.5281 12.93856312825 3 1 1887 27547.0415 12.9370745 27549.5550 12.9356643 27552.0684 12.93434412825 3 1 1888 27554.5819 12.9331257 27557.0953 12.9320221 27559.6087 12.93104622825 3 1 1889 27562.1222 12.9302110 27564.6356 12.9295291 27567.5679 12.92894322825 3 1 1890 27569.2436 12.9287158 27570.9192 12.9285700 27572.5948 12.92850792825 3 1 1891 27575.9461 12.9286412 27579.2973 12.9291219 27583.3482 12.93015782825 3 1 1892 27588.0986 12.9319575 27591.2655 12.9334555 27604.3785 12.94082472825 3 1 1893 27608.8169 12.9430703 27612.5393 12.9445437 27618.0135 12.94569572825 3 1 1894 27622.5108 12.9454716 27627.3610 12.9438205 27630.9984 12.94153932825 3 1 1895 27635.4460 12.9375055 27639.8935 12.9321447 27642.8623 12.92788292825 3 1 1896 27648.3912 12.9186911 27654.3118 12.9074595 27668.2948 12.87867482825 3 1 1897 27671.7362 12.8717390 27674.8110 12.8657392 27677.5190 12.86064472825 3 1 1898 27681.5810 12.8533832 27683.6120 12.8499359 27685.6431 12.84661512825 3 1 1899 27687.6741 12.8434218 27689.7051 12.8403552 27692.4131 12.83645992825 3 1 1900 27695.1211 12.8327779 27697.8292 12.8292978 27700.5372 12.82600652825 3 1 1901 27701.8912 12.8244269 27703.2452 12.8228887 27704.5992 12.82138992825 3 1 1902 27705.9532 12.8199285 27707.3073 12.8185023 27708.6613 12.81710962825 3 1 1903 27710.0153 12.8157482 27711.3693 12.8144162 27712.7233 12.81311162825 3 1 1904 27714.0773 12.8118327 27715.4313 12.8105776 27716.7853 12.80934452825 3 1 1905 27718.2866 12.8080012 27719.7878 12.8066809 27721.2891 12.80538142825 3 1 1906 27722.7903 12.8041011 27724.2915 12.8028380 27725.7928 12.80159052825 3 1 1907 27727.2940 12.8003570 27728.7952 12.7991362 27731.7977 12.79672712825 3 1 1908 27734.8002 12.7943542 27736.8018 12.7927884 27738.8035 12.79123332825 3 1 1909 27742.8068 12.7881486 27744.8084 12.7866164 27747.8108 12.78432782825 3 1 1910 27752.8149 12.7805320 27760.8215 12.7744880 27772.8314 12.76545212825 3 1 1911 27788.8445 12.7534209 27828.8773 12.7233574 27908.9430 12.66324272825 3 1 1912 28016.1789 12.5827385 28225.2623 12.4470109 28785.0579 12.08364322825 3 1 1913 28990.0772 11.9505709 29484.5579 11.6654746 29731.7983 11.52293392825 3 1 1914 30040.8487 11.3447659 30226.2790 11.2378706 30288.0891 11.20224102825 3 1 1915 30411.7093 11.1385542 30566.2345 11.0589517 30720.7597 10.97935772825 3 1 1916 30915.9100 10.8788553 31066.5157 10.8013130 31200.5782 10.73231142825 3 1 1917 31267.6094 10.6978222 31330.0704 10.6656931 31387.9610 10.63592552825 3 1 1918 31474.7969 10.5912979 31518.2149 10.5689978 31561.2063 10.54692872825 3 1 1919 31603.9844 10.5249833 31618.0000 10.5178001 31661.0219 10.50234932825 3 1 1920 31718.0594 10.4819076 31746.5782 10.4717074 31791.3856 10.45571812825 3 1 1921 31832.1162 10.4412341 31852.4815 10.4340150 31872.8468 10.42681452825 3 1 1922 31908.4861 10.4142681 31936.9383 10.4043154 31963.2948 10.39516182825 3 1 1923 31989.6513 10.3860901 32002.8295 10.3815925 32016.0078 10.37712562825 3 1 1924 32038.9690 10.3694321 32058.5350 10.3629893 32078.1010 10.35668362825 3 1 1925 32087.8840 10.3535963 32097.6670 10.3505643 32106.0200 10.34804902825 3 1 1926 32110.9997 10.3525823 32118.0989 10.3591250 32123.4233 10.36408802825 3 1 1927 32128.7477 10.3691211 32135.8469 10.3760002 32139.3966 10.37954832825 3 1 1928 32144.7210 10.3850759 32147.3832 10.3879647 32150.0454 10.39096292825 3 1 1929 32153.5950 10.3951741 32157.1446 10.3996965 32158.9194 10.40210202825 3 1 1930 32160.6942 10.4046208 32162.4690 10.4072677 32164.2438 10.41005872825 3 1 1931 32166.0301 10.4130313 32167.8163 10.4161874 32169.6026 10.41954892825 3 1 1932 32172.5796 10.4256706 32174.9613 10.4311045 32177.3429 10.43708702825 3 1 1933 32179.7245 10.4436906 32182.1061 10.4509922 32184.4878 10.45907362825 3 1 1934 32186.8694 10.4680186 32188.6557 10.4753471 32190.4419 10.48324712825 3 1 1935 32192.2281 10.4917558 32194.0144 10.5009101 32195.8006 10.51074412825 3 1 1936 32197.5868 10.5212921 32197.7554 10.5223581 32199.3730 10.53985792825 3 1 1937 32201.1592 10.5599558 32203.0610 10.5822337 32205.1938 10.60832682825 3 1 1938 32207.3266 10.6356181 32209.4594 10.6641229 32213.7250 10.72476862825 3 1 1939 32215.8579 10.7568713 32218.7016 10.8014224 32221.5454 10.84782882825 3 1 1940 32225.1000 10.9081075 32238.5266 11.1474037 32240.5172 11.19221622825 3 1 1941 32247.2000 11.3368189 32253.3700 11.4588288 32258.7477 11.55234962825 3 1 1942 32264.1247 11.6314837 32267.0683 11.6682377 32270.2761 11.70291762825 3 1 1943 32273.6162 11.7332072 32274.8752 11.7417508 32279.5976 11.82548032825 3 1 1944 32285.7549 11.9196799 32289.3006 11.9676435 32299.7432 12.30135712825 3 1 1945 32300.5996 12.3296266 32305.6480 12.5950763 32306.4876 12.65294112825 3 1 1946 32310.6964 12.9516126 32310.9669 12.9781471 32313.3108 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32412.5509 30.1608500 32413.7078 29.92402852825 3 1 1960 32418.4557 28.7447377 32418.5309 28.7257773 32422.9933 27.43677282825 3 1 1961 32423.3539 27.3318038 32427.5308 25.9806756 32440.3321 21.82146352825 3 1 1962 32445.0500 20.2938063 32446.8530 19.7125579 32448.5884 19.20663852825 3 1 1963 32451.5258 18.3546469 32451.9765 18.2346672 32454.9214 17.45516582825 3 1 1964 32456.1985 17.1190383 32457.8663 16.7236575 32460.8713 16.01732532825 3 1 1965 32462.5616 15.6766397 32466.6184 14.8683798 32467.8805 14.61955702825 3 1 1966 32470.6751 14.1758716 32472.7035 13.8568655 32474.7319 13.53978552825 3 1 1967 32474.8896 13.5152771 32476.7603 13.2886725 32478.9013 13.03122832825 3 1 1968 32482.0716 12.6535025 32482.2819 12.6338153 32485.6626 12.32149532825 3 1 1969 32487.4581 12.1575978 32489.0432 12.0412971 32492.4238 11.79654742825 3 1 1970 32492.8445 11.7664476 32495.8044 11.6147791 32499.0799 11.44932272825 3 1 1971 32502.3553 11.2858955 32503.6174 11.2235920 32505.6308 11.16480542825 3 1 1972 32507.2685 11.1175589 32509.7251 11.0473188 32512.1817 10.97775682825 3 1 1973 32514.6383 10.9087923 32517.0949 10.8403535 32517.9813 10.81582582825 3 1 1974 32519.5515 10.7936408 32522.0080 10.7593387 32524.7689 10.72120812825 3 1 1975 32527.5298 10.6834652 32530.2906 10.6460585 32535.8123 10.57207352825 3 1 1976 32539.5272 10.5228458 32540.4137 10.5166485 32544.0948 10.49126762825 3 1 1977 32547.7759 10.4661454 32551.4570 10.4412417 32555.4575 10.41438722825 3 1 1978 32561.0730 10.3770642 32563.4583 10.3674702 32571.4591 10.33584162825 3 1 1979 32580.7934 10.2994642 32586.1273 10.2788768 32589.8008 10.26481872825 3 1 1980 32597.1330 10.2516539 32603.1430 10.2410326 32615.1630 10.22007482825 3 1 1981 32627.1830 10.1994217 32639.2030 10.1790061 32653.9275 10.15424972825 3 1 1982 32669.5535 10.1282141 32685.1795 10.1023672 32692.9925 10.08950132825 3 1 1983 32704.7120 10.0702628 32722.7420 10.0566727 32734.7620 10.04767912825 3 1 1984 32746.7820 10.0387300 32770.8220 10.0209416 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9.31811047 34100.1245 9.31717768 34102.2328 9.316265772825 3 1 1998 34104.3412 9.31537890 34107.1524 9.31424432 34109.9636 9.313178172825 3 1 1999 34112.7748 9.31219890 34114.1803 9.31174883 34115.5859 9.311329432825 3 1 2000 34116.9915 9.31094443 34118.3971 9.31059792 34119.8027 9.310294422825 3 1 2001 34121.9111 9.30993082 34124.0195 9.30969419 34125.4156 9.309635912825 3 1 2002 34126.1278 9.31140088 34128.2362 9.31679919 34130.3446 9.322398812825 3 1 2003 34132.4530 9.32823132 34134.5614 9.33433216 34136.7780 9.341078822825 3 1 2004 34137.9946 9.34494463 34139.2111 9.34893705 34140.4277 9.353066352825 3 1 2005 34141.6442 9.35734200 34142.8608 9.36177538 34144.0773 9.366376922825 3 1 2006 34145.2939 9.37115906 34146.5105 9.37613362 34147.7270 9.381312852825 3 1 2007 34148.9435 9.38671030 34150.1601 9.39234006 34152.5933 9.404351862825 3 1 2008 34155.0263 9.41746383 34157.4594 9.43179997 34159.8925 9.447486002825 3 1 2009 34162.4795 9.46578842 34164.1579 9.47862898 34164.7228 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