28-Ni- 58 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.80580E+4 5.74380E+1 2 0 0 42825 1451 1 0.0 0.0 0 0 0 62825 1451 2 1.00000E+0 1.50000E+8 8 0 10 62825 1451 3 6.00000E+2 0.0 1 0 553 782825 1451 4 28-Ni- 58 LANL,ORNL EVAL-SEP97 S.CHIBA,M.B.CHADWICK,LARSON 2825 1451 5 Ch97,Ch99 DIST-SEP 1 REV3- 20010926 2825 1451 6 ----ENDF/B-VI MATERIAL 2825 REVISION 2 2825 1451 7 -----INCIDENT NEUTRON DATA 2825 1451 8 ------ENDF-6 FORMAT 2825 1451 9 2825 1451 10 **************************************************************** 2825 1451 11 2825 1451 12 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2825 1451 13 P.G. Young (LANL) 2825 1451 14 2825 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2825 1451 16 MT 102) has been updated for new experimental data at incident 2825 1451 17 neutron energies up to 1 keV. 2825 1451 18 The MF=12, MT=102 yields above 1 keV were adjusted slightly to 2825 1451 19 force energy conservation. 2825 1451 20 The Q-value for radiative capture was also updated in File 3. 2825 1451 21 Details of these changes are described in Frankel et al. [Fr01]. 2825 1451 22 2825 1451 23 **************************************************************** 2825 1451 24 2825 1451 25 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2825 1451 26 M.B. Chadwick, P.G. Young (LANL), and A.J. Koning (ECN) 2825 1451 27 2825 1451 28 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2825 1451 29 in cooperation with ECN Petten. 2825 1451 30 2825 1451 31 This evaluation provides a complete representation of the 2825 1451 32 nuclear data needed for transport, damage, heating, 2825 1451 33 radioactivity, and shielding applications over the incident 2825 1451 34 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2825 1451 35 here is divided into the region below and above 20 MeV. 2825 1451 36 2825 1451 37 INCIDENT NEUTRON ENERGIES < 20 MeV 2825 1451 38 2825 1451 39 Below 20 MeV the evaluation is based completely on the ENDF/B- 2825 1451 40 VI.5 (Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, 2825 1451 41 and Fu. 2825 1451 42 2825 1451 43 INCIDENT NEUTRON ENERGIES > 20 MeV 2825 1451 44 2825 1451 45 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2825 1451 46 includes cross sections and energy-angle data for all 2825 1451 47 significant reactions. The present evauation utilizes a more 2825 1451 48 compact composite reaction spectrum representation above 20 MeV 2825 1451 49 in order to reduce the length of the file. No essential data for 2825 1451 50 applications is lost with this representation. 2825 1451 51 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2825 1451 52 all reaction data. Production cross sections and emission 2825 1451 53 spectra are given for neutrons, protons, deuterons, tritons, 2825 1451 54 alpha particles, gamma rays, and all residual nuclides produced 2825 1451 55 (A>5) in the reaction chains. To summarize, the ENDF sections 2825 1451 56 with non-zero data above En = 20 MeV are: 2825 1451 57 2825 1451 58 MF=3 MT= 1 Total Cross Section 2825 1451 59 MT= 2 Elastic Scattering Cross Section 2825 1451 60 MT= 3 Nonelastic Cross Section 2825 1451 61 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2825 1451 62 2825 1451 63 MF=4 MT= 2 Elastic Angular Distributions 2825 1451 64 2825 1451 65 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2825 1451 66 Distributions for Emission Neutrons, Protons, 2825 1451 67 Deuterons, Tritons, and Alphas; and Angle- 2825 1451 68 Integrated Spectra for Gamma Rays and Residual 2825 1451 69 Nuclei That Are Stable Against Particle Emission 2825 1451 70 2825 1451 71 The evaluation is based on nuclear model calculations that 2825 1451 72 have been benchmarked to experimental data, especially for n + 2825 1451 73 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2825 1451 74 [Yo92], which utilizes Hauser-Feshbach statistical, 2825 1451 75 preequilibrium and direct-reaction theories. Spherical optical 2825 1451 76 model calculations are used to obtain particle transmission 2825 1451 77 coefficients for the Hauser-Feshbach calculations, as well as 2825 1451 78 for the elastic neutron angular distributions. 2825 1451 79 Cross sections and spectra for producing individual residual 2825 1451 80 nuclei are included for reactions. The energy-angle-correlations 2825 1451 81 for all outgoing particles are based on Kalbach systematics 2825 1451 82 [Ka88]. 2825 1451 83 A model was developed to calculate the energy distributions of 2825 1451 84 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2825 1451 85 energy distributions are represented in the laboratory system in 2825 1451 86 MT=5, MF=6, and are given as isotropic in the lab system. All 2825 1451 87 other data in MT=5,MF=6 are given in the center-of-mass system. 2825 1451 88 This method of representation utilizes the LCT=3 option approved 2825 1451 89 at the November, 1996, CSEWG meeting. 2825 1451 90 Preequilibrium corrections were performed in the course of the 2825 1451 91 GNASH calculations using the exciton model of Kalbach [Ka77, 2825 1451 92 Ka85], validated by comparison with calculations using Feshbach, 2825 1451 93 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2825 1451 94 nuclear data sheets were matched to continuum level densities 2825 1451 95 using the formulation of Gilbert and Cameron [Gi65] and pairing 2825 1451 96 and shell parameters from the Cook [Co67] analysis. Neutron and 2825 1451 97 charged- particle transmission coefficients were obtained from 2825 1451 98 the optical potentials, as discussed below. Gamma-ray 2825 1451 99 transmission coefficients were calculated using the Kopecky-Uhl 2825 1451 100 model [Ko90]. 2825 1451 101 2825 1451 102 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2825 1451 103 2825 1451 104 The neutron total cross section was evaluated based on the 2825 1451 105 least-squares method with GMA code system [Po81] taking account of2825 1451 106 the experimental data [Ci68, Pe73, Sc73, La83, Sm92, Di97]. The 2825 1451 107 data for natural Ni was used above 20 MeV because there was no 2825 1451 108 data for Ni-58 at this energy region. The data for natural Ni were2825 1451 109 transformed to the Ni-58 cross section according to A*(2/3) law. 2825 1451 110 In the GMA analysis, the systematic error was assumed to be 1 % 2825 1451 111 for all the data set. Result of the GMA evaluation was used as 2825 1451 112 the evaluated total cross section data above 20 MeV. 2825 1451 113 2825 1451 114 The evaluated total cross section data (1 to 250 MeV), s-wave 2825 1451 115 strength function[Mu81], and elastic scattering angular 2825 1451 116 distribution data [Sm92, Gu85, Tu73, Pe88, Ya79] were used to 2825 1451 117 obtain the neutron optical potential parameters. The parameter 2825 1451 118 estimation was carried out based on Marquart-Bayesian approach 2825 1451 119 [Sm91], where ECIS95 code [Ra96] was used for the optical model 2825 1451 120 calculation. We have employed the energy dependence of the 2825 1451 121 optical potential similar to Delaroche's work [De89]. The initial 2825 1451 122 potential parameters were adopted from Koning and Delaroche 2825 1451 123 [Ko97]. Total of 17 parameters concerning the central potential 2825 1451 124 were estimated with associated covariance matrix. Presently 2825 1451 125 obtained potential was used for the calculation of neutron 2825 1451 126 transmission coefficients and DWBA cross sections in the entire 2825 1451 127 energy region above 20 MeV. Below 20 MeV, the Harper neutron 2825 1451 128 potential [Ha82] was used. 2825 1451 129 2825 1451 130 The proton optical potential was also searched for to obtain a 2825 1451 131 good description of proton-total reaction cross section as 2825 1451 132 predicted by Wellisch-Axen systematic [We96] above 50 MeV. The 2825 1451 133 parameter estimation was carried out by the Marquart-Bayesian 2825 1451 134 approach similar to the neutron OMP, but trying to seek the best 2825 1451 135 parameter to reproduce the reaction cross sections compiled by 2825 1451 136 Carlson [Ca96] and Wellisch values. In this search, the 2825 1451 137 geometrical parameters were fixed to be same as the neutron 2825 1451 138 potential. The present potential gives a good description of the 2825 1451 139 proton total reaction cross section above 10 MeV to 250 MeV. 2825 1451 140 However, after some trial and error to reproduce both the elastic 2825 1451 141 scattering and reaction cross section data, we have employed the 2825 1451 142 following combination of proton potentials: 2825 1451 143 2825 1451 144 0 to 5 MeV : Harper potential [Ha82] 2825 1451 145 5 to 50 MeV : Koning and Delaroche [Ko97] 2825 1451 146 50 to 260 MeV : Present OMP 2825 1451 147 2825 1451 148 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2825 1451 149 for alpha particles the McFadden-Satchler potential [Mc66] was 2825 1451 150 used; and for tritons the Beccheti-Greenlees [Be71] potential was 2825 1451 151 used. The He-3 channel was ignored. 2825 1451 152 2825 1451 153 The direct collective inelastic scattering to the following levels2825 1451 154 in Ni-58 was considered by the DWBA-mode calculation of ECIS95 2825 1451 155 [Ra96]: 2825 1451 156 2825 1451 157 Jpi Ex(MeV) Deformation length 2825 1451 158 2+ 1.454 0.900 2825 1451 159 4+ 2.459 0.350 2825 1451 160 2+ 3.038 0.242 2825 1451 161 2+ 3.263 0.306 2825 1451 162 4+ 3.620 0.246 2825 1451 163 2+ 3.898 0.111 2825 1451 164 2+ 4.108 0.063 2825 1451 165 4+ 4.299 0.127 2825 1451 166 4+ 4.405 0.329 2825 1451 167 3- 4.475 0.708 2825 1451 168 4+ 4.757 0.403 2825 1451 169 4+ 5.438 0.151 2825 1451 170 4+ 5.472 0.080 2825 1451 171 2+ 5.749 0.048 2825 1451 172 4+ 5.766 0.086 2825 1451 173 2+ 5.906 0.115 2825 1451 174 3- 6.312 0.128 2825 1451 175 2+ 6.417 0.068 2825 1451 176 4+ 6.460 0.098 2825 1451 177 2+ 6.475 0.065 2825 1451 178 2+ 6.569 0.056 2825 1451 179 2+ 6.752 0.141 2825 1451 180 3- 6.854 0.296 2825 1451 181 2+ 6.983 0.116 2825 1451 182 4+ 7.051 0.090 2825 1451 183 4+ 7.068 0.086 2825 1451 184 3- 7.111 0.079 2825 1451 185 4+ 7.141 0.112 2825 1451 186 3- 7.210 0.323 2825 1451 187 2+ 7.272 0.088 2825 1451 188 3- 7.300 0.063 2825 1451 189 3- 7.420 0.048 2825 1451 190 3- 7.514 0.171 2825 1451 191 2+ 7.580 0.051 2825 1451 192 4+ 7.618 0.083 2825 1451 193 3- 7.858 0.106 2825 1451 194 4+ 7.860 0.097 2825 1451 195 3- 8.134 0.142 2825 1451 196 3- 8.797 0.097 2825 1451 197 3- 8.841 0.112 2825 1451 198 4+ 8.902 0.072 2825 1451 199 3- 9.012 0.056 2825 1451 200 3- 9.304 0.065 2825 1451 201 3- 9.379 0.106 2825 1451 202 4+ 9.436 0.071 2825 1451 203 3- 9.458 0.082 2825 1451 204 4+ 9.588 0.052 2825 1451 205 4+ 9.632 0.080 2825 1451 206 3- 9.672 0.121 2825 1451 207 3- 9.835 0.083 2825 1451 208 3- 9.870 0.076 2825 1451 209 3- 9.929 0.061 2825 1451 210 3- 9.956 0.071 2825 1451 211 2825 1451 212 These data were retrieved from the literature (Nuclear Data 2825 1451 213 Sheets), or were evaluated by Koning [Ko97]. 2825 1451 214 2825 1451 215 Only 2 measurements exist for neutron-induced emission spectra 2825 1451 216 above 20 MeV for 58Ni: the (n,x alpha) data by Haight et al 2825 1451 217 [Ha97], and (n,xp) data by Ullman et al [Ul83]. Some of the level2825 1451 218 density parameters were adjusted to give a good description of 2825 1451 219 these data. Our starting point was the Gilbert-Cameron analysis 2825 1451 220 of Fu [Fu96], who studied the extreme sensitivity of calculated 2825 1451 221 cross sections on level densities for an IAEA CRP. Fu matched the 2825 1451 222 experimental D-0 value (14.4 keV) in 55Fe, and experimental 2825 1451 223 neutron, alpha, and proton emission data, by modifying the level 2825 1451 224 density a parameters. We modified Fu's 58Ni level density by 5% to2825 1451 225 a=6.5 to better describe Haight's data at 14 MeV. Above 14 MeV, 2825 1451 226 where (n,na) and (n,pa) become important, we increased the default2825 1451 227 level density a parameters in 54Fe and 54Mn by 7.5% to obtain an 2825 1451 228 improved agreement of the Haight data in the 40-50 MeV range (no 2825 1451 229 direct experimental information constrains these level densities).2825 1451 230 See Ref. [Ch97] for benchmark comparisons of the evaluation with 2825 1451 231 measured data. 2825 1451 232 2825 1451 233 *************************************************************** 2825 1451 234 2825 1451 235 REFERENCES 2825 1451 236 2825 1451 237 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2825 1451 238 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2825 1451 239 Barschall and W. Haeberli, The University of Wisconsin Press, 2825 1451 240 1971) p.682 2825 1451 241 [Ca96] R. F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2825 1451 242 93(1996). 2825 1451 243 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2825 1451 244 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2825 1451 245 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2825 1451 246 Driven Technologies: Calculational Method for Heavy Recoils," 2825 1451 247 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2825 1451 248 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2825 1451 249 [Ch97] M. B. Chadwick and P. G. Young, "Model Calculations of 2825 1451 250 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2825 1451 251 September 1997, internal Los Alamos National Laboratory memo T-2825 1451 252 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2825 1451 253 [Ch99] M.B. Chadwick, P G. Young, G. M. Hale, et al., Los Alamos 2825 1451 254 National Laboratory report, LA-UR-99-1222 (1999) 2825 1451 255 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2825 1451 256 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2825 1451 257 Phys. 20, 477 (1967) 2825 1451 258 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2825 1451 259 391 (1989) 2825 1451 260 [Di97] F. Dietrich et al., private communication (1997). 2825 1451 261 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2825 1451 262 National Laboratory Report, LA-13812 (2001). 2825 1451 263 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2825 1451 264 densities of three formalisms on calculated cross sections", 2825 1451 265 personal communication, 1996 (to be published by the IAEA). 2825 1451 266 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2825 1451 267 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2825 1451 268 [Ha82] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2825 1451 269 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2825 1451 270 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2825 1451 271 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2825 1451 272 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2825 1451 273 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2825 1451 274 LA-10248-MS (1985) 2825 1451 275 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2825 1451 276 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2825 1451 277 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2825 1451 278 [Ko97] A. Koning and J.P. Delaroche, private communication. 2825 1451 279 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2825 1451 280 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2825 1451 281 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2825 1451 282 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2825 1451 283 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2825 1451 284 [Pe73] F.G. Perey, private communicatiopn (1973) [EXFOR 10342] 2825 1451 285 [Pe88] Pedroni et al, Phys. Rev. C38, 2052(1988). 2825 1451 286 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2825 1451 287 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2825 1451 288 51363, p.249(1981). 2825 1451 289 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2825 1451 290 Theorique, Saclay, France (personal communication through A. J.2825 1451 291 Koning, 1996). 2825 1451 292 [Sc73] W. Schimmerling et al., Phys. Rev. C7, 248(1973). 2825 1451 293 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2825 1451 294 in Nuclear Science and Technology", American Nuclear Society 2825 1451 295 (1991). 2825 1451 296 [Sm92] A.B. Smith et al., J. Phys. G. 18, 629(1992) 2825 1451 297 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2825 1451 298 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2825 1451 299 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda et al., Nucl. 2825 1451 300 Phys. A427, 493 (1984) 2825 1451 301 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2825 1451 302 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2825 1451 303 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2825 1451 304 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2825 1451 305 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, report 2825 1451 306 LA-12343-MS (1992) 2825 1451 307 2825 1451 308 **************************************************************** 2825 1451 309 2825 1451 310 ENDF/B-VI MOD 2 Revision, October 1989, D.C. Larson, 2825 1451 311 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2825 1451 312 2825 1451 313 1. Capture widths corrected for 58.7 and 439.52 keV resonances. 2825 1451 314 2. The elastic transformation matrix was removed. 2825 1451 315 3. Fixed typo in minimum energy in MF=6, MT=51 2825 1451 316 2825 1451 317 **************************************************************** 2825 1451 318 2825 1451 319 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2825 1451 320 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2825 1451 321 2825 1451 322 THIS WORK EMPLOYED NUCLEAR MODEL CODES INCLUDING THE 2825 1451 323 DISTORTED WAVE BORN APPROXIMATION (DWBA) PROGRAM DWUCK (1) 2825 1451 324 AND THE HAUSER-FESHBACH CODE TNG (2,3,4). THE TNG CODE PROVIDES 2825 1451 325 ENERGY AND ANGULAR DISTRIBUTIONS OF PARTICLES EMITTED IN THE 2825 1451 326 COMPOUND AND PRE-COMPOUND REACTIONS, ENSURES CONSISTENCY AMONG ALL2825 1451 327 REACTIONS, AND MAINTAINS ENERGY BALANCE. DETAILS PERTINENT TO THE 2825 1451 328 CONTENTS OF THIS EVALUATION AND EXTENSIVE COMPARISONS OF 2825 1451 329 CALCULATIONS WITH EXPERIMENTAL DATA CAN BE FOUND IN REFERENCE (5).2825 1451 330 2825 1451 331 ----- DESCRIPTION OF FILES 2825 1451 332 (MF-MT) 2825 1451 333 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2825 1451 334 2-151 RESONANCE PARAMETERS ARE USED EXCLUSIVELY TO PROVIDE THE 2825 1451 335 TOTAL, SCATTERING AND CAPTURE CROSS SECTIONS FROM 1.E-5 EV2825 1451 336 TO 812 KEV, EXCEPT FOR CAPTURE FROM 450-812 KEV. THE 2825 1451 337 RESONANCE PARAMETERS ARE TAKEN FROM AN 2825 1451 338 EXTENSIVE RESONANCE PARAMETER ANALYSIS OF TRANSMISSION, 2825 1451 339 SCATTERING AND CAPTURE DATA (6). NEGATIVE ENERGY 2825 1451 340 RESONANCES HAVE BEEN USED TO GIVE THE CORRECT THERMAL 2825 1451 341 VALUES. THE SCATTERING CROSS SECTION IS GIVEN COMPLETELY 2825 1451 342 BY THE RESONANCE PARAMETERS FROM 1.E-5 TO 812 KEV, BUT FOR2825 1451 343 THE CAPTURE CROSS SECTION, AVERAGE RESONANCE PARAMETERS 2825 1451 344 USED FROM 450 TO 812 KEV. THUS, THERE IS A BACKGROUND 2825 1451 345 CONTRIBUTION IN 3/102 FROM 450 TO 812 KEV TO ACCOUNT FOR 2825 1451 346 THE SMALL DIFFERENCE IN CAPTURE CROSS SECTION FROM THE 2825 1451 347 AVERAGE RESONANCE PARAMETERS AND THE AVERAGED EXPERIMENTAL2825 1451 348 DATA (6). THE REICH-MOORE CODE SAMMY (7) WAS USED FOR THE2825 1451 349 RESONANCE PARAMETER ANALYSIS. 2825 1451 350 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2825 1451 351 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 29.4 B, 2825 1451 352 ELASTIC SCATTERING 24.8 B, AND CAPTURE 4.62 B. 2825 1451 353 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2825 1451 354 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2825 1451 355 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2825 1451 356 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2825 1451 357 3-1 THE TOTAL CROSS SECTION WAS OBTAINED FROM .812 TO 20 MEV 2825 1451 358 BY ANALYSIS OF THE SAME HIGH RESOLUTION MEASUREMENT 2825 1451 359 USED FOR THE RESONANCE PARAMETER ANALYSIS IN 2/151. DATA 2825 1451 360 WERE BINNED AND COMPARED WITH ENERGY AVERAGED DATA FROM 2825 1451 361 ARGONNE (8) AND OTHER DATA FROM CSISRS, AND GOOD 2825 1451 362 AGREEMENT WAS FOUND. 2825 1451 363 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2825 1451 364 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2825 1451 365 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2825 1451 366 3-28, 3-102, 3-103, 3-104, AND 3-107. 2825 1451 367 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2825 1451 368 .., 3-58, AND 3-91 2825 1451 369 3-16 (N,2N) CROSS SECTIONS WERE TAKEN FROM THE EVALUATION 2825 1451 370 OF 58NI(N,2N)57NI CROSS SECTIONS BY PAVLIK AND 2825 1451 371 WINKLER (9). THESE CROSS SECTIONS WERE SLIGHTLY LARGER 2825 1451 372 THAN THE TNG CALCULATIONS. (SEE (N,NP) BELOW). 2825 1451 373 3-22 (N,NA) + (N,AN) CROSS SECTIONS WERE CALCULATED BY THE TNG 2825 1451 374 CODE (2,3,4,5). NO DATA AVAILABLE OTHER THAN A EMISSION. 2825 1451 375 3-28 (N,NP) + (N,PN) CROSS SECTIONS WERE CALCULATED BY THE TNG 2825 1451 376 CODE (2,3,4,5) BUT MODIFIED ABOVE EINC OF 13.0 MEV TO FIT 2825 1451 377 THE DATA OF PAVLIK ET AL. (10). THE MODIFICATION OF THE 2825 1451 378 TNG CALCULATION FOR (N,NP) CANCELED OUT THE DIFFERENCE 2825 1451 379 BETWEEN THE TNG CALCULATION FOR (N,2N) AND THE ACTUAL 2825 1451 380 (N,2N) USED (SEE ABOVE) SO THAT THE TNG CALCULATED 2825 1451 381 NONELASTIC CROSS DID NOT CHANGE. 2825 1451 382 3-51 TO 3-58 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2825 1451 383 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2825 1451 384 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. EXTENSIVE 2825 1451 385 COMPARISONS WITH EXPERIMENTAL DATA USED IN THE EVALUATION 2825 1451 386 PROCESS ARE SHOWN IN (5). 2825 1451 387 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2825 1451 388 CALCULATED). GUIDANCE FROM (N,XN) EMISSION DATA (5). 2825 1451 389 3-102 (N,G) CAPTURE CROSS SECTION IS PROVIDED ONLY BY RESONANCE 2825 1451 390 PARAMETERS FROM 1.E-5 EV TO 450 KEV. FROM 450 TO 812 KEV 2825 1451 391 A SMALL BACKGROUND FILE IS GIVEN IN 3/102 TO COMBINE WITH 2825 1451 392 THE 2/151 RESULTS. TNG CALCULATIONS WERE NORMALIZED 2825 1451 393 TO THE RESONANCE REGION RESULTS BETWEEN 100-812 KEV, 2825 1451 394 AND USED FROM 812 KEV TO 20 MEV. 2825 1451 395 3-103 (N,P) CROSS SECTIONS UP TO 6 MEV WERE TAKEN FROM THE 2825 1451 396 GLUCS (12) CALCULATION IN WHICH THIS REACTION WAS STUDIED 2825 1451 397 SIMULTANEOUSLY WITH 12 OTHER DOSIMETRY REACTION CROSS 2825 1451 398 SECTIONS (13). FROM 6 TO 13 MEV A LINE WAS DRAWN 2825 1451 399 THROUGH DATA (SEVERAL MEASURED DATA SETS DISAGREE AND A 2825 1451 400 COMPROMISE WAS CHOSEN). ABOVE 13 MEV, TNG CALC. WERE USED 2825 1451 401 WHICH COMPARED VERY WELL WITH RECENT MEASUREMENTS (5). 2825 1451 402 3-104 (N,D) CROSS SECTION - TAKEN FROM ENDF/B-V (11) WHICH 2825 1451 403 AGREED WELL WITH AVAILABLE DATA. 2825 1451 404 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2825 1451 405 TNG CODE (2,3,4,5) AND MODIFIED BETWEEN EINC FROM 7.0 TO 2825 1451 406 13 MEV TO BETTER FIT THE RATIO DATA OF WATTECAMPS (14). 2825 1451 407 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS FOR ELASTIC 2825 1451 408 SCATTERING WERE REVIEWED AND ADOPTED FROM ENDF/B-V (11). 2825 1451 409 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2825 1451 410 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2825 1451 411 PARAMETERS IN 2/151. 2825 1451 412 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 413 NEUTRON AND 57NI RESIDUAL, AND ENERGY DEPENDENT YIELDS 2825 1451 414 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2825 1451 415 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2825 1451 416 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2825 1451 417 THE OUTGOING NEUTRON). (N,XN) D-D EMISSION DATA HEAVILY 2825 1451 418 USED TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 419 6-22 (N,NA) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 420 NEUTRON, ALPHA, AND 54FE RESIDUAL, AND ENERGY DEPENDENT 2825 1451 421 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2825 1451 422 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2825 1451 423 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2825 1451 424 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2825 1451 425 ALPHA AND RESIDUAL). (N,XA) D-D EMISSION DATA HEAVILY USED2825 1451 426 TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 427 6-28 (N,NP) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2825 1451 428 NEUTRON, P, AND 57CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2825 1451 429 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2825 1451 430 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2825 1451 431 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2825 1451 432 THE OUTGOING NEUTRON). (N,XP) D-D EMISSION DATA HEAVILY 2825 1451 433 USED TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 434 6-51 THROUGH 6-58 INELASTIC SCATTERING EXCITING LEVELS; EACH 2825 1451 435 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2825 1451 436 AND 58NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2825 1451 437 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2825 1451 438 BY DWUCK (1) AND TNG (2,3,4,5)). EXTENSIVE COMPARISONS 2825 1451 439 WITH ANGULAR DISTRIBUTION DATA ARE GIVEN IN (5). 2825 1451 440 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2825 1451 441 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 58NI 2825 1451 442 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2825 1451 443 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2825 1451 444 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2825 1451 445 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2825 1451 446 OUTGOING NEUTRON). (N,XN) D-D EMISSION DATA HEAVILY USED 2825 1451 447 TO BENCHMARK THE TNG CALCULATIONS (5). 2825 1451 448 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2825 1451 449 AND 58CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2825 1451 450 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2825 1451 451 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2825 1451 452 PRODUCT. (N,XP) D-D EMISSION DATA HEAVILY USED TO BENCH- 2825 1451 453 MARK THE TNG CALCULATIONS (5). 2825 1451 454 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2825 1451 455 AND 55FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2825 1451 456 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2825 1451 457 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2825 1451 458 PRODUCT. (N,XA) D-D EMISSION DATA HEAVILY USED TO BENCH- 2825 1451 459 MARK THE TNG CALCULATIONS (5). 2825 1451 460 12-51 THROUGH 12-58 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2825 1451 461 BY HETRICK ET AL. (5), ARE GIVEN. 2825 1451 462 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2825 1451 463 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2825 1451 464 ASSUMED TO BE ISOTROPIC. 2825 1451 465 15-102 (N,G) CAPTURE; TNG CALCULATED. 2825 1451 466 -------------------------------------------------------------- 2825 1451 467 UNCERTAINTY FILES 2825 1451 468 ALL NON-DERIVED FILES CONTAIN AN LB=8 COMPONENT, AS 2825 1451 469 REQUIRED BY ENDF/B-VI FORMATS 2825 1451 470 2825 1451 471 33-1 TOTAL UNCERTAINTIES GIVEN AS DERIVED FROM 1E-5 TO 100 EV 2825 1451 472 EXPLICIT FROM 100 EV TO 20 MEV, USING LB=0,1 AND 8. 2825 1451 473 33-2 EXPLICIT FROM 1E-5 10 100 EV, DERIVED FROM 100EV TO 20 MEV2825 1451 474 33-3 DERIVED FROM 1.E-5 TO 450 KEV, EXPLICIT USING LB=1,8 FROM 2825 1451 475 450 KEV TO 20 MEV 2825 1451 476 33-4 DERIVED FROM THRESHOLD TO 20 MEV. 2825 1451 477 33-16 (N,2N) COVARIANCES WERE TAKEN FROM THE EVALUATION OF 2825 1451 478 PAVLIK AND WINKLER (9). 2825 1451 479 33-22 (N,NA) UNCERTAINTIES ESTIMATED FROM CALCULATION AND DATA 2825 1451 480 33-28 (N,NP) COVARIANCES - PAVLIK ET AL.'S (10) DATA USED AS A 2825 1451 481 GUIDE. 2825 1451 482 33-51-91 INELASTIC SCATTERING UNCERTAINTIES ESTIMATED FROM DATA 2825 1451 483 AND CALCULATIONS. 2825 1451 484 33-102 CAPTURE UNCERTAINTIES ESTIMATED FROM THERMAL VALUE AT LOW 2825 1451 485 ENERGIES, BINNED DATA IN THE RESONANCE REGION, AND CALCU- 2825 1451 486 LATIONS FROM TNG FROM 450 KEV TO 20 MEV. 2825 1451 487 33-103 (N,P) COVARIANCES WERE TAKEN FROM THE GLUCS (12) 2825 1451 488 CALCULATION IN WHICH THIS REACTION WAS STUDIED 2825 1451 489 SIMULTANEOUSLY WITH 12 OTHER DOSIMETRY REACTION CROSS 2825 1451 490 SECTIONS (13). 2825 1451 491 33-104 (N,D) COVARIANCES - CSISRS DATA USED AS A GUIDE. 2825 1451 492 33-107 (N,A) COVARIANCES - CSISRS DATA USED AS A GUIDE. 2825 1451 493 2825 1451 494 **************************************************************** 2825 1451 495 2825 1451 496 REFERENCES 2825 1451 497 2825 1451 498 (1) P.D. Kunz, "Distorted Wave Code DWUCK72," Univ. of 2825 1451 499 Colorado, unpublished (1972) 2825 1451 500 (2) C.Y. Fu, Oak Ridge NAtional Laboratory report ORNL/TM-7042 2825 1451 501 (1980) 2825 1451 502 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2825 1451 503 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2825 1451 504 p. 675 2825 1451 505 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2825 1451 506 ORNL/TM-10093 (1986) 2825 1451 507 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2825 1451 508 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2825 1451 509 (6) C.M. Perey, F.G. Perey, J.A. Harvey, et al., Oak Ridge 2825 1451 510 Laboratort report ORNL/TM-10841, IN PREPARATION 2825 1451 511 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2825 1451 512 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2825 1451 513 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2825 1451 514 (8) C. Budtz-Jorgensen, P.T. Guenther, A.B. Smith and J.F. Whalen2825 1451 515 Zeit.Phys A 306, 265 (1982) and report ANL/NDM-61 (1982) 2825 1451 516 (9) A. Pavlik and G. Winkler, International Nuclear 2825 1451 517 Committee report INDC(AUS)-9/L (International Atomic Energy 2825 1451 518 Agency, 1983) 2825 1451 519 (10) A. Pavlik, G. Winkler, M. Uhl et al., Nucl.Sci.Eng. 90, 186 2825 1451 520 (1985) 2825 1451 521 (11) M. Divadeenam, Brookhaven National Laboratory report 2825 1451 522 BNL-NCS-51346 [ENDF-294] (1979) 2825 1451 523 (12) D.M. Hetrick and C.Y. Fu, Oak Ridge National Laboratory 2825 1451 524 report ORNL/TM-7341 [ENDF-303] (1980) 2825 1451 525 (13) C.Y. Fu and D.M. Hetrick, ASTM-Euratom Symp. on Reactor 2825 1451 526 Dosimetry, Gaithersburg, MD, March 1982, National Bureau of 2825 1451 527 Standards, p. 877 2825 1451 528 (14) E. Wattecamps, GEEL, Belgium, private communication (1987) 2825 1451 529 2825 1451 530 ************************ C O N T E N T S *********************** 2825 1451 531 ***************** Program LINEAR (VERSION 2004-1) ***************2825 1451 532 For All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 533 Data Linearized to Within an Accuracy of .100000000 per-cent 2825 1451 534 ***************** Program RECENT (VERSION 2004-1) ***************2825 1451 535 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 536 Data Linearized to within an Accuracy of .100000000 per-cent 2825 1451 537 ***************** Program SIGMA1 (VERSION 2004-1) ***************2825 1451 538 Data Doppler Broadened to 600.000000 Kelvin 2825 1451 539 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 540 Data Linearized to Within an Accuracy pf .100000000 per-cent 2825 1451 541 ***************** Program FIXUP (Version 2004-1) ****************2825 1451 542 Corrected ZA/AWR in All Sections-----------------------------Yes 2825 1451 543 Corrected Thresholds-----------------------------------------No 2825 1451 544 Extended Cross Sections to 20 MeV----------------------------No 2825 1451 545 Allow Cross Section Deletion---------------------------------No 2825 1451 546 Allow Cross Section Reconstruction---------------------------Yes 2825 1451 547 Make All Cross Sections Non-Negative-------------------------Yes 2825 1451 548 Delete Energies Not in Ascending Order-----------------------Yes 2825 1451 549 Deleted Duplicate Points-------------------------------------Yes 2825 1451 550 Check for Ascending MAT/MF/MT Order--------------------------Yes 2825 1451 551 Check for Legal MF/MT Numbers--------------------------------Yes 2825 1451 552 Allow Creation of Missing Sections---------------------------No 2825 1451 553 Allow Insertion of Energy Points-----------------------------No 2825 1451 554 Create Uniform Energy Grid-----------------------------------No 2825 1451 555 Delete Section if Cross Section =0 at All Energies-----------Yes 2825 1451 556 **************** Program DICTIN (VERSION 2004-1) ****************2825 1451 557 1 451 635 42825 1451 558 2 151 489 22825 1451 559 3 1 35167 32825 1451 560 3 2 13986 32825 1451 561 3 3 21823 32825 1451 562 3 4 16 12825 1451 563 3 5 9 32825 1451 564 3 16 10 12825 1451 565 3 22 7 12825 1451 566 3 28 7 12825 1451 567 3 51 13 12825 1451 568 3 52 12 12825 1451 569 3 53 12 12825 1451 570 3 54 12 12825 1451 571 3 55 12 12825 1451 572 3 56 11 12825 1451 573 3 57 11 12825 1451 574 3 58 11 12825 1451 575 3 91 11 12825 1451 576 3 102 21798 42825 1451 577 3 103 13 12825 1451 578 3 104 12 12825 1451 579 3 107 14 12825 1451 580 4 2 3747 32825 1451 581 6 5 13047 32825 1451 582 6 16 233 12825 1451 583 6 22 401 12825 1451 584 6 28 492 12825 1451 585 6 51 47 22825 1451 586 6 52 41 12825 1451 587 6 53 41 12825 1451 588 6 54 7 12825 1451 589 6 55 7 12825 1451 590 6 56 41 12825 1451 591 6 57 41 12825 1451 592 6 58 7 12825 1451 593 6 91 1233 12825 1451 594 6 103 1112 12825 1451 595 6 107 1077 12825 1451 596 12 51 3 12825 1451 597 12 52 3 12825 1451 598 12 53 3 12825 1451 599 12 54 3 12825 1451 600 12 55 3 12825 1451 601 12 56 3 12825 1451 602 12 57 3 12825 1451 603 12 58 3 12825 1451 604 12 102 985 42825 1451 605 14 51 1 12825 1451 606 14 52 1 12825 1451 607 14 53 1 12825 1451 608 14 54 1 12825 1451 609 14 55 1 12825 1451 610 14 56 1 12825 1451 611 14 57 1 12825 1451 612 14 58 1 12825 1451 613 14 102 1 42825 1451 614 15 102 239 12825 1451 615 33 1 26 12825 1451 616 33 2 14 12825 1451 617 33 3 16 12825 1451 618 33 4 9 12825 1451 619 33 16 39 12825 1451 620 33 22 14 12825 1451 621 33 28 12 12825 1451 622 33 51 12 12825 1451 623 33 52 14 12825 1451 624 33 53 14 12825 1451 625 33 54 14 12825 1451 626 33 55 14 12825 1451 627 33 56 12 12825 1451 628 33 57 12 12825 1451 629 33 58 12 12825 1451 630 33 91 10 12825 1451 631 33 102 21 12825 1451 632 33 103 87 12825 1451 633 33 104 12 12825 1451 634 33 107 16 12825 1451 635 2825 1 0 636 2825 0 0 637 2.80580E+4 5.74380E+1 0 0 1 02825 2151 638 2.80580E+4 1.00000E+0 0 0 1 02825 2151 639 1.00000E-5 8.12000E+5 1 3 0 12825 2151 640 0.0 6.40000E-1 1 0 3 32825 2151 641 5.74380E+1 6.30350E-1 0 0 402 672825 2151 642 -78318.0000 .500000000 40685.0000 4.00000000 0.0 0.0 2825 2151 643 -11674.0000 .500000000 4262.70000 3.20000000 0.0 0.0 2825 2151 644 15306.0000 .500000000 1332.40000 .970000000 0.0 0.0 2825 2151 645 36133.0000 .500000000 18.3640000 1.72000000 0.0 0.0 2825 2151 646 63343.0000 .500000000 3855.00000 3.50000000 0.0 0.0 2825 2151 647 83391.0000 .500000000 3.95920000 1.16000000 0.0 0.0 2825 2151 648 108350.000 .500000000 1094.30000 4.80000000 0.0 0.0 2825 2151 649 124000.000 .500000000 463.130000 1.56000000 0.0 0.0 2825 2151 650 137620.000 .500000000 2035.00000 2.90000000 0.0 0.0 2825 2151 651 140300.000 .500000000 3119.50000 .900000000 0.0 0.0 2825 2151 652 158110.000 .500000000 5281.70000 3.30000000 0.0 0.0 2825 2151 653 168950.000 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1856 20041.5851 25.4589190 20041.8049 25.4114252 20042.0247 25.38212382825 3 1 1857 20042.2995 25.3462162 20042.5743 25.3110533 20042.8491 25.27657312825 3 1 1858 20043.1238 25.2427298 20043.3986 25.2094447 20043.6733 25.17669202825 3 1 1859 20043.9481 25.1444014 20044.0030 25.1380365 20044.2228 25.12581832825 3 1 1860 20044.4976 25.1109345 20044.7724 25.0964066 20045.0472 25.08220122825 3 1 1861 20045.3219 25.0682930 20045.7341 25.0479113 20046.1462 25.02804722825 3 1 1862 20046.4209 25.0150549 20046.7781 24.9984227 20047.1353 24.98205302825 3 1 1863 20047.4925 24.9659137 20047.8497 24.9499768 20048.3855 24.92639822825 3 1 1864 20048.6190 24.9162672 20048.9213 24.9114860 20049.4571 24.90328712825 3 1 1865 20049.9929 24.8953183 20050.5287 24.8875428 20051.0645 24.87993102825 3 1 1866 20051.7789 24.8699959 20052.3833 24.8617513 20053.1252 24.85179962825 3 1 1867 20053.8671 24.8420050 20054.6090 24.8323437 20055.5982 24.81963692825 3 1 1868 20056.5873 24.8071001 20057.5765 24.7947039 20058.5656 24.78243002825 3 1 1869 20059.5548 24.7702590 20060.7637 24.7555065 20060.9285 24.75351022825 3 1 1870 20061.8353 24.7487922 20062.9069 24.7432953 20064.3357 24.73607192825 3 1 1871 20065.7644 24.7289526 20067.1932 24.7219211 20068.6220 24.71496552825 3 1 1872 20070.0508 24.7080754 20071.4795 24.7012426 20073.1282 24.69341912825 3 1 1873 20074.7768 24.6856532 20075.8758 24.6805040 20078.0739 24.67026362825 3 1 1874 20080.2720 24.6600903 20082.4702 24.6499731 20084.6683 24.63990472825 3 1 1875 20086.8664 24.6298775 20089.9438 24.6158977 20092.5815 24.60396122825 3 1 1876 20095.2193 24.5920598 20097.8570 24.5801890 20101.3740 24.56440082825 3 1 1877 20104.8910 24.5486505 20108.4080 24.5329320 20111.9250 24.51724042825 3 1 1878 20117.2005 24.4937446 20122.6959 24.4693121 20128.1912 24.44491452825 3 1 1879 20133.6865 24.4205445 20139.1818 24.3961969 20146.7761 24.36258002825 3 1 1880 20147.4248 24.3602959 20155.6677 24.3313037 20164.2609 24.30110562825 3 1 1881 20173.5544 24.2684690 20185.9458 24.2249809 20198.3372 24.18151682825 3 1 1882 20210.7286 24.1380706 20229.3157 24.0729273 20247.9028 24.00780302825 3 1 1883 20260.2941 23.9643958 20290.0334 23.8602385 20319.7727 23.75610122825 3 1 1884 20359.4251 23.6172718 20399.0775 23.4784576 20458.5561 23.27025692825 3 1 1885 20487.5993 23.1686017 20507.4255 23.1085834 20536.4686 23.02066682825 3 1 1886 20609.0764 22.8008959 20623.5979 22.7569452 20667.1626 22.62510162825 3 1 1887 20710.7272 22.4932735 20739.7703 22.4053999 20768.8134 22.31753882825 3 1 1888 20797.8565 22.2296938 20819.6389 22.1638242 20841.4212 22.09797172825 3 1 1889 20863.2035 22.0321408 20877.7251 21.9882699 20879.5403 21.98365182825 3 1 1890 20895.8770 21.9421102 20912.2138 21.9005943 20923.1050 21.87293532825 3 1 1891 20934.2297 21.8447036 20945.5881 21.8159045 20954.1069 21.79432532825 3 1 1892 20962.6257 21.7727662 20971.1445 21.7512320 20979.7800 21.72943552825 3 1 1893 20988.4740 21.7075308 20994.2700 21.6929534 21000.0660 21.67840142825 3 1 1894 21005.8620 21.6638796 21011.6580 21.6493934 21017.4540 21.63494922825 3 1 1895 21022.2840 21.6229501 21026.1480 21.6133793 21030.0120 21.60383782825 3 1 1896 21033.8760 21.5943301 21037.7400 21.5848616 21041.6040 21.57543862825 3 1 1897 21045.4680 21.5660684 21049.3320 21.5567598 21052.7130 21.54867392825 3 1 1898 21055.6110 21.5417939 21058.5090 21.5349678 21058.9920 21.53384052825 3 1 1899 21061.4070 21.5318292 21064.3050 21.5294870 21067.2030 21.52722732825 3 1 1900 21070.1010 21.5250638 21072.2745 21.5235140 21074.4480 21.52203582825 3 1 1901 21076.3800 21.5207897 21078.3120 21.5196161 21080.2440 21.51852422825 3 1 1902 21082.1760 21.5175251 21083.4640 21.5169296 21084.1080 21.51888782825 3 1 1903 21086.0400 21.5248833 21087.9720 21.5310180 21089.9040 21.53731372825 3 1 1904 21091.3530 21.5421566 21092.8020 21.5471176 21094.2510 21.55221192825 3 1 1905 21095.7000 21.5574573 21097.1490 21.5628746 21098.5980 21.56848852825 3 1 1906 21100.0470 21.5743285 21101.4960 21.5804300 21102.5425 21.58502322825 3 1 1907 21102.7840 21.5861242 21103.5890 21.5978061 21104.6355 21.61319282825 3 1 1908 21105.6820 21.6288058 21106.7285 21.6446760 21107.7750 21.66084032825 3 1 1909 21108.8215 21.6773426 21109.8680 21.6942368 21110.6730 21.70753982825 3 1 1910 21111.4780 21.7211501 21112.2830 21.7351115 21112.4440 21.73798472825 3 1 1911 21113.0880 21.7618163 21113.8930 21.7920768 21114.6980 21.82289162825 3 1 1912 21115.5030 21.8543664 21116.1068 21.8784883 21116.6703 21.90146732825 3 1 1913 21117.2137 21.9241219 21117.2740 21.9266985 21117.7570 21.96421652825 3 1 1914 21118.3004 22.0070853 21118.8438 22.0507271 21119.3872 22.09528042825 3 1 1915 21119.9305 22.1409042 21120.2928 22.1720263 21120.4940 22.18966442825 3 1 1916 21120.6550 22.2139873 21121.0173 22.2694393 21121.3795 22.32568332825 3 1 1917 21121.7418 22.3828512 21122.1040 22.4410247 21122.5146 22.50836812825 3 1 1918 21122.7802 22.5530194 21122.9251 22.5896015 21123.3357 22.69518332825 3 1 1919 21123.6094 22.7667589 21123.8831 22.8393912 21124.1326 22.90664942825 3 1 1920 21124.1568 22.9156896 21124.4305 23.0191828 21124.7042 23.12403192825 3 1 1921 21124.9779 23.2303510 21125.2516 23.3382616 21125.4850 23.43175052825 3 1 1922 21125.5253 23.4531328 21125.7990 23.6002097 21126.0727 23.74928812825 3 1 1923 21126.3464 23.9005199 21126.4993 23.9862365 21126.5959 24.05489562825 3 1 1924 21126.9340 24.2984946 21127.2721 24.5461819 21127.5136 24.72626612825 3 1 1925 21127.6102 24.8162792 21127.9483 25.1361109 21128.2864 25.46109482825 3 1 1926 21128.4796 25.6499584 21128.6245 25.8194718 21128.9626 26.22091092825 3 1 1927 21129.2041 26.5121459 21129.3007 26.6471138 21129.6388 27.12617162825 3 1 1928 21129.9286 27.5428299 21129.9769 27.6226222 21130.2506 28.08018582825 3 1 1929 21130.5726 28.6249575 21130.6531 28.7629635 21130.8946 29.23374342825 3 1 1930 21131.2166 29.8689607 21131.3776 30.1904396 21131.5386 30.55013052825 3 1 1931 21131.8606 31.2774483 21132.0216 31.6451533 21132.1826 32.05032652825 3 1 1932 21132.5046 32.8688754 21132.6656 33.2831081 21132.9554 34.09713442825 3 1 1933 21133.3096 35.1045263 21133.3901 35.3522048 21133.8248 36.70445472825 3 1 1934 21133.9536 37.1093619 21134.2595 38.1544148 21134.8391 40.15548222825 3 1 1935 21134.9196 40.4364527 21135.4348 42.3787554 21135.8856 44.09362712825 3 1 1936 21136.1110 45.0044610 21137.3185 49.9227983 21137.7854 51.82658532825 3 1 1937 21138.4938 54.6996816 21138.8480 56.1236784 21139.3632 58.07329492825 3 1 1938 21139.8140 59.7530410 21140.1360 60.8254174 21140.7800 62.92461642825 3 1 1939 21141.1664 63.9632804 21141.6172 65.1425492 21141.8104 65.55017882825 3 1 1940 21142.2612 66.4585016 21142.3900 66.6565431 21142.8666 67.34478382825 3 1 1941 21142.9181 67.3906583 21143.5106 67.8592015 21143.6136 67.93040492825 3 1 1942 21144.0000 68.0122107 21144.5152 67.8352474 21144.6955 67.75875922825 3 1 1943 21144.8758 67.5751850 21145.4168 66.9804431 21145.9964 65.97211502825 3 1 1944 21146.0608 65.8545576 21146.4794 64.8932616 21146.7048 64.35805172825 3 1 1945 21147.0590 63.3459389 21147.5742 61.8330906 21147.7030 61.39550272825 3 1 1946 21148.3792 59.0504719 21148.5080 58.5959102 21149.2486 55.70838282825 3 1 1947 21149.7960 53.5485431 21150.6010 50.2472481 21151.5992 46.15303432825 3 1 1948 21151.8568 45.1392515 21152.5330 42.4995806 21152.7584 41.62738962825 3 1 1949 21153.1448 40.2379090 21153.6600 38.4037663 21153.7244 38.17685242825 3 1 1950 21154.1752 36.7055035 21154.3684 36.0824556 21154.6904 35.11726202825 3 1 1951 21155.0124 34.1642638 21155.1412 33.8132953 21155.6242 32.51510972825 3 1 1952 21155.6564 32.4295945 21155.9462 31.7279690 21156.2682 30.95654232825 3 1 1953 21156.3004 30.8802024 21156.5902 30.2593698 21156.9122 29.57741102825 3 1 1954 21156.9444 29.5099797 21157.2342 28.9661321 21157.5884 28.30997082825 3 1 1955 21157.8782 27.8372867 21158.1680 27.3701485 21158.2083 27.30592792825 3 1 1956 21158.4578 26.9622780 21158.7476 26.5682136 21159.0374 26.17900612825 3 1 1957 21159.1018 26.0935416 21159.3272 25.8447687 21159.6170 25.52929482825 3 1 1958 21159.9068 25.2179581 21159.9954 25.1239660 21160.1966 24.94826112825 3 1 1959 21160.4864 24.6988495 21160.7440 24.4800438 21160.8889 24.35840592825 3 1 1960 21161.0016 24.2785597 21161.2592 24.0984630 21161.4846 23.94285792825 3 1 1961 21161.5168 23.9246960 21161.7744 23.7815214 21162.0320 23.64033172825 3 1 1962 21162.2896 23.5009966 21162.5472 23.3633919 21162.6760 23.29539562825 3 1 1963 21162.8048 23.2441551 21163.0624 23.1431738 21163.3200 23.04358592825 3 1 1964 21163.7064 22.8965984 21163.8835 22.8304189 21164.0928 22.77155512825 3 1 1965 21164.4792 22.6651933 21164.7690 22.5867809 21165.0910 22.50088742825 3 1 1966 21165.4130 22.4391993 21165.7350 22.3785717 21166.0570 22.31890052825 3 1 1967 21166.3790 22.2600914 21166.7010 22.2020590 21167.1840 22.14499932825 3 1 1968 21167.6670 22.0892871 21168.1500 22.0347276 21168.6330 21.98115582825 3 1 1969 21169.1160 21.9284317 21169.5990 21.8985501 21170.1625 21.86447852825 3 1 1970 21170.7663 21.8287738 21171.3700 21.7937777 21171.9738 21.75937222825 3 1 1971 21172.5775 21.7254821 21173.3825 21.6809644 21173.9460 21.65025652825 3 1 1972 21174.1875 21.6429441 21174.9925 21.6191152 21175.7975 21.59575082825 3 1 1973 21176.6830 21.5705090 21177.6490 21.5434428 21178.6150 21.51679752825 3 1 1974 21179.5810 21.4905150 21180.3860 21.4688757 21180.5470 21.46668682825 3 1 1975 21181.5130 21.4538295 21182.4790 21.4412150 21183.4450 21.42881552825 3 1 1976 21184.5720 21.4145895 21185.8600 21.3986090 21187.1480 21.38288652825 3 1 1977 21188.4360 21.3673887 21189.7240 21.3520878 21191.0120 21.33696002825 3 1 1978 21192.3000 21.3219853 21193.5880 21.3071464 21195.0370 21.29059692825 3 1 1979 21196.6470 21.2723664 21198.0960 21.2560904 21198.2570 21.25526192825 3 1 1980 21199.8670 21.2471047 21201.4770 21.2390607 21203.0870 21.23111692825 3 1 1981 21204.6970 21.2232622 21207.1120 21.2116266 21209.5270 21.20014282825 3 1 1982 21211.9420 21.1887883 21214.3570 21.1775449 21216.7720 21.16639732825 3 1 1983 21219.1870 21.1553331 21221.6020 21.1443417 21224.0170 21.13341432825 3 1 1984 21226.4320 21.1225433 21229.6520 21.1081254 21232.8720 21.09378342825 3 1 1985 21236.0920 21.0795067 21239.3120 21.0652864 21242.5320 21.05670912825 3 1 1986 21245.7520 21.0481746 21248.9720 21.0396778 21253.4398 21.02794242825 3 1 1987 21257.1830 21.0181522 21262.1740 21.0051488 21267.1650 20.99219372825 3 1 1988 21272.1560 20.9792795 21277.1470 20.9664007 21282.1380 20.95355232825 3 1 1989 21287.1290 20.9407303 21292.1200 20.9279313 21298.7210 20.91103362825 3 1 1990 21305.3220 20.8941639 21311.9230 20.8773184 21318.5240 20.86049392825 3 1 1991 21328.4255 20.8352902 21338.3270 20.8101193 21344.9280 20.79335282825 3 1 1992 21356.1276 20.7649280 21367.3272 20.7365272 21378.5268 20.70814652825 3 1 1993 21395.3261 20.6656027 21412.1254 20.6230854 21428.9248 20.58058852825 3 1 1994 21445.7241 20.5381082 21468.1233 20.4814872 21490.5224 20.42488392825 3 1 1995 21494.2555 20.4154529 21524.1210 20.3508080 21553.9865 20.28618012825 3 1 1996 21583.8520 20.2215644 21628.6503 20.1246577 21673.4485 20.02776672825 3 1 1997 21703.3140 19.9631759 21763.0450 19.8340074 21852.6415 19.64027292825 3 1 1998 21942.2380 19.4465511 22061.7000 19.2223105 22181.1620 18.99807982825 3 1 1999 22360.3550 18.6617462 22479.8170 18.4375297 22539.5480 18.33979022825 3 1 2000 22778.4720 17.9488430 23017.3960 17.5579047 23359.3600 17.06808462825 3 1 2001 23591.2000 16.7360104 23720.0000 16.5735262 24047.2037 16.16076102825 3 1 2002 24269.9000 15.8798365 24373.5000 15.7658648 24554.8000 15.56642132825 3 1 2003 24610.5368 15.5051110 24646.4342 15.4656286 24669.0190 15.44079382825 3 1 2004 24684.9475 15.4232847 24695.5665 15.4116179 24703.7250 15.40266082825 3 1 2005 24709.4230 15.3964107 24715.1210 15.3901683 24719.3945 15.38549452825 3 1 2006 24722.2435 15.3823845 24725.6105 15.3787181 24727.5530 15.37660942825 3 1 2007 24729.4955 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