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 1.20000E+6 0.0 1 0 557 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 1500.00000 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 SIGMA1 (VERSION 2004-1) ***************2825 1451 542 Data Doppler Broadened to 1200000.00 Kelvin 2825 1451 543 for All Data Greater than 1.0000E-10 barns in Absolute Value 2825 1451 544 Data Linearized to Within an Accuracy pf .100000000 per-cent 2825 1451 545 ***************** Program FIXUP (Version 2004-1) ****************2825 1451 546 Corrected ZA/AWR in All Sections-----------------------------Yes 2825 1451 547 Corrected Thresholds-----------------------------------------No 2825 1451 548 Extended Cross Sections to 20 MeV----------------------------No 2825 1451 549 Allow Cross Section Deletion---------------------------------No 2825 1451 550 Allow Cross Section Reconstruction---------------------------Yes 2825 1451 551 Make All Cross Sections Non-Negative-------------------------Yes 2825 1451 552 Delete Energies Not in Ascending Order-----------------------Yes 2825 1451 553 Deleted Duplicate Points-------------------------------------Yes 2825 1451 554 Check for Ascending MAT/MF/MT Order--------------------------Yes 2825 1451 555 Check for Legal MF/MT Numbers--------------------------------Yes 2825 1451 556 Allow Creation of Missing Sections---------------------------No 2825 1451 557 Allow Insertion of Energy Points-----------------------------No 2825 1451 558 Create Uniform Energy Grid-----------------------------------No 2825 1451 559 Delete Section if Cross Section =0 at All Energies-----------Yes 2825 1451 560 **************** Program DICTIN (VERSION 2004-1) ****************2825 1451 561 1 451 639 42825 1451 562 2 151 489 22825 1451 563 3 1 5663 32825 1451 564 3 2 2795 32825 1451 565 3 3 2927 32825 1451 566 3 4 190 12825 1451 567 3 5 9 32825 1451 568 3 16 10 12825 1451 569 3 22 7 12825 1451 570 3 28 7 12825 1451 571 3 51 186 12825 1451 572 3 52 12 12825 1451 573 3 53 12 12825 1451 574 3 54 12 12825 1451 575 3 55 12 12825 1451 576 3 56 11 12825 1451 577 3 57 11 12825 1451 578 3 58 11 12825 1451 579 3 91 11 12825 1451 580 3 102 2653 42825 1451 581 3 103 149 12825 1451 582 3 104 12 12825 1451 583 3 107 129 12825 1451 584 4 2 3747 32825 1451 585 6 5 13047 32825 1451 586 6 16 233 12825 1451 587 6 22 401 12825 1451 588 6 28 492 12825 1451 589 6 51 47 22825 1451 590 6 52 41 12825 1451 591 6 53 41 12825 1451 592 6 54 7 12825 1451 593 6 55 7 12825 1451 594 6 56 41 12825 1451 595 6 57 41 12825 1451 596 6 58 7 12825 1451 597 6 91 1233 12825 1451 598 6 103 1112 12825 1451 599 6 107 1077 12825 1451 600 12 51 3 12825 1451 601 12 52 3 12825 1451 602 12 53 3 12825 1451 603 12 54 3 12825 1451 604 12 55 3 12825 1451 605 12 56 3 12825 1451 606 12 57 3 12825 1451 607 12 58 3 12825 1451 608 12 102 985 42825 1451 609 14 51 1 12825 1451 610 14 52 1 12825 1451 611 14 53 1 12825 1451 612 14 54 1 12825 1451 613 14 55 1 12825 1451 614 14 56 1 12825 1451 615 14 57 1 12825 1451 616 14 58 1 12825 1451 617 14 102 1 42825 1451 618 15 102 239 12825 1451 619 33 1 26 12825 1451 620 33 2 14 12825 1451 621 33 3 16 12825 1451 622 33 4 9 12825 1451 623 33 16 39 12825 1451 624 33 22 14 12825 1451 625 33 28 12 12825 1451 626 33 51 12 12825 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53609.8561 2.49997008 53616.0869 2.496938322825 3 1 1832 53634.7796 2.48785332 53653.4723 2.47878360 53672.1650 2.469728792825 3 1 1833 53690.8577 2.46068861 53715.7812 2.44865754 53740.7048 2.436651892825 3 1 1834 53765.6284 2.42467169 53790.5520 2.41271713 53815.4756 2.400788522825 3 1 1835 53840.3992 2.38888630 53865.3228 2.37701099 53890.2464 2.365163112825 3 1 1836 53915.1699 2.35334325 53940.0935 2.34155181 53965.0171 2.329789242825 3 1 1837 53989.9407 2.31805583 54014.8643 2.30635171 54039.7879 2.294676802825 3 1 1838 54064.7115 2.28303083 54102.0969 2.26561481 54117.6119 2.258412322825 3 1 1839 54139.4822 2.24843431 54176.8676 2.23143373 54226.7148 2.208841932825 3 1 1840 54289.0238 2.18069425 54413.6416 2.12449600 54463.4888 2.101957542825 3 1 1841 54513.3359 2.07932836 54558.7119 2.05861773 54579.7830 2.048938152825 3 1 1842 54604.0879 2.03695686 54638.1199 2.02007779 54672.1519 2.003100792825 3 1 1843 54710.7025 1.98374228 54751.6825 1.96300716 54789.9965 1.943470152825 3 1 1844 54817.0563 1.92956393 54831.3522 1.92167812 54856.0319 1.907983872825 3 1 1845 54894.5871 1.88647350 54931.9494 1.86549922 54969.3117 1.844407102825 3 1 1846 55006.6740 1.82320881 55059.1132 1.79330329 55060.2779 1.792636122825 3 1 1847 55104.3436 1.76646048 55164.6508 1.73052284 55315.4190 1.640513062825 3 1 1848 55360.6494 1.61356399 55405.8798 1.58667415 55451.1103 1.559856942825 3 1 1849 55481.2639 1.54202413 55511.4175 1.52422993 55541.5712 1.506475502825 3 1 1850 55571.7248 1.48876157 55601.8784 1.47108809 55632.0320 1.453454562825 3 1 1851 55662.1857 1.43585997 55692.3393 1.41830310 55722.4929 1.400782242825 3 1 1852 55729.1372 1.39692907 55752.6465 1.38372458 55782.8002 1.366820202825 3 1 1853 55812.9538 1.34994575 55843.1074 1.33309892 55873.2610 1.316277452825 3 1 1854 55903.4147 1.29947903 55933.5683 1.28270157 55963.7219 1.265942912825 3 1 1855 55993.8755 1.24920105 56039.1060 1.22411560 56084.3364 1.199058002825 3 1 1856 56129.5668 1.17402312 56174.7973 1.14900655 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.335596436 57843.4850 .325888119 57845.1472 .3253921872825 3 1 1870 57876.6392 .316088223 57903.8304 .308135625 57908.1312 .3069895272825 3 1 1871 57939.6231 .298691281 57964.1758 .292293945 57971.1151 .2906723412825 3 1 1872 58002.6071 .283403534 58024.5212 .278414974 58044.5965 .2743913822825 3 1 1873 58084.8665 .266453233 58086.5858 .266162677 58128.5752 .2591851052825 3 1 1874 58150.3900 .255616943 58191.5592 .250051142 58215.9134 .2467900032825 3 1 1875 58278.2930 .240079483 58317.5271 .236762685 58334.3850 .2352812812825 3 1 1876 58385.9900 .231819013 58390.4770 .231495454 58436.5244 .2290267362825 3 1 1877 58437.3371 .228998231 58488.6842 .226888314 58491.2246 .2267651412825 3 1 1878 58540.0313 .225428348 58543.7591 .225300076 58574.2627 .2249502782825 3 1 1879 58594.1281 .224595660 58611.7572 .224743003 58643.0005 .2247621572825 3 1 1880 58647.9035 .224844758 58657.1743 .225138586 58686.1790 .2258042532825 3 1 1881 58703.1921 .226707862 58725.0994 .227729594 58725.4279 .2277429102825 3 1 1882 58759.2748 .230252571 58769.1052 .231340809 58793.1461 .2338064462825 3 1 1883 58818.3548 .237402635 58823.5515 .238104847 58848.0478 .2423677462825 3 1 1884 58865.7519 .246173945 58875.1432 .248134969 58903.1340 .2553424992825 3 1 1885 58913.1490 .258468151 58930.6753 .263839634 58952.8961 .2718465612825 3 1 1886 58978.9977 .282744612 58985.4448 .285823083 58999.7788 .2926261992825 3 1 1887 59023.3140 .305235164 59046.2234 .319080785 59071.3861 .3362029982825 3 1 1888 59088.9123 .349385989 59109.6934 .366429621 59130.0364 .3846871672825 3 1 1889 59130.4745 .385082190 59156.1380 .410555264 59178.2336 .4348204012825 3 1 1890 59181.8014 .438756224 59204.0536 .465601719 59226.3056 .4946677592825 3 1 1891 59226.4308 .494845389 59252.5011 .531977019 59262.5787 .5475115102825 3 1 1892 59275.2227 .567071588 59297.9442 .604760465 59298.7265 .6061472622825 3 1 1893 59320.6657 .645172047 59334.8744 .672103597 59343.7628 .6890034342825 3 1 1894 59364.9977 .731920541 59367.2354 .736455562 59395.1209 .7971927812825 3 1 1895 59402.4444 .813189795 59431.2688 .881498009 59439.5625 .9012088842825 3 1 1896 59466.8534 .970488427 59467.4167 .972011405 59503.5646 1.069983332825 3 1 1897 59507.7897 1.08146131 59539.7125 1.17440380 59552.7320 1.212385712825 3 1 1898 59575.8604 1.28442274 59605.6863 1.37747569 59612.0083 1.398310212825 3 1 1899 59658.6406 1.55222752 59660.2055 1.55762988 59716.3520 1.751720182825 3 1 1900 59744.3940 1.84873023 59844.5440 2.19923537 59862.9153 2.263459802825 3 1 1901 59908.6400 2.41763786 59913.3346 2.43343875 59960.8745 2.584243282825 3 1 1902 59987.2828 2.66784235 60001.2475 2.70820552 60039.4485 2.818371692825 3 1 1903 60047.4980 2.84152390 60084.2030 2.93604904 60112.2951 3.008133552825 3 1 1904 60133.5769 3.05573449 60171.4336 3.14007364 60177.7932 3.154187262825 3 1 1905 60218.9047 3.23168541 60251.8667 3.29350740 60270.6823 3.323505332825 3 1 1906 60317.2520 3.39735436 60319.2550 3.40051474 60381.0977 3.485465812825 3 1 1907 60444.9433 3.57274796 60517.5520 3.67177926 60548.9327 3.721634262825 3 1 1908 60593.2469 3.79217643 60620.0398 3.84360284 60650.0181 3.901330682825 3 1 1909 60667.4444 3.94154216 60702.9979 4.02380558 60706.7893 4.032602892825 3 1 1910 60738.5514 4.12101408 60763.5604 4.19081501 60774.1050 4.225866102825 3 1 1911 60803.7329 4.32457685 60820.3315 4.38000201 60833.3608 4.430219452825 3 1 1912 60863.3536 4.54607909 60868.9143 4.57018986 60904.4678 4.724702172825 3 1 1913 60906.3756 4.73301302 60940.0213 4.89615574 60949.3977 4.941719182825 3 1 1914 60975.5748 5.08217456 60992.4197 5.17273502 61011.1284 5.282933022825 3 1 1915 61035.4418 5.42639663 61046.6818 5.49852450 61078.4638 5.702791552825 3 1 1916 61082.2353 5.72944840 61117.7888 5.98107861 61142.9968 6.159711042825 3 1 1917 61153.3424 6.24066998 61188.8959 6.51917436 61205.3916 6.648521432825 3 1 1918 61236.3005 6.91224298 61266.7173 7.17199943 61297.7532 7.457121342825 3 1 1919 61328.0430 7.73550434 61409.8106 8.54395891 61448.7547 8.956901342825 3 1 1920 61491.5782 9.41060253 61505.3802 9.56578562 61562.0057 10.20180182825 3 1 1921 61579.1352 10.3939609 61608.7983 10.7465668 61655.5908 11.30208192825 3 1 1922 61695.8778 11.7797234 61696.4747 11.7872154 61745.8933 12.40661092825 3 1 1923 61790.0000 12.9585814 61813.3159 13.2500383 61827.7852 13.43071282825 3 1 1924 61855.3864 13.7936036 61886.2657 14.1991341 61933.4418 14.81796852825 3 1 1925 61956.1068 15.1148919 61980.0151 15.4440361 62026.5884 16.08450612825 3 1 1926 62084.7673 16.8837441 62088.8369 16.9396020 62139.0275 17.66804732825 3 1 1927 62228.2553 18.9622160 62248.1130 19.2501712 62352.4508 20.85292822825 3 1 1928 62409.7254 21.7330628 62414.5485 21.8110866 62476.6463 22.81612232825 3 1 1929 62523.2196 23.5702807 62569.7929 24.3248023 62616.3662 25.07970302825 3 1 1930 62662.9394 25.8349838 62709.5128 26.5948823 62756.0861 27.35513502825 3 1 1931 62802.6594 28.1157191 62849.2327 28.8766051 62879.9800 29.37911352825 3 1 1932 62895.8060 29.6259295 62942.3793 30.3525037 63004.4771 31.32157912825 3 1 1933 63022.2622 31.5992080 63066.5748 32.2404693 63128.6725 33.13931882825 3 1 1934 63164.5444 33.6586525 63204.0338 34.1692474 63306.8266 35.49858202825 3 1 1935 63336.9712 35.8319982 63449.1088 37.0723735 63555.8205 38.05831772825 3 1 1936 63602.8460 38.4153690 63662.5321 38.8684611 63733.6732 39.30922652825 3 1 1937 63780.0958 39.5195983 63875.9554 39.9538589 63957.3457 40.14824102825 3 1 1938 64018.2375 40.2935947 64112.0784 40.3613342 64134.5955 40.34498222825 3 1 1939 64243.4556 40.2658329 64393.6010 39.9165005 64543.7464 39.35273112825 3 1 1940 64688.6519 38.6114738 64768.9644 38.2007085 64855.0498 37.65605312825 3 1 1941 64965.9816 36.9543370 65049.1805 36.4281683 65069.2552 36.30124622825 3 1 1942 65132.3794 35.8653288 65187.8454 35.4824007 65243.3113 35.09957612825 3 1 1943 65271.0443 34.9082078 65326.5103 34.5255722 65381.9762 34.14308902825 3 1 1944 65423.5756 33.8563384 65465.1750 33.5696926 65504.7398 33.29717052825 3 1 1945 65544.3045 33.0247561 65583.8692 32.7524529 65623.4339 32.48026362825 3 1 1946 65662.9986 32.2081892 65702.5633 31.9362284 65755.3163 31.57378342825 3 1 1947 65808.0692 31.2115179 65819.9820 31.1297448 65860.8221 30.86982492825 3 1 1948 65939.9515 30.3664290 66071.8338 29.5275941 66120.2728 29.21936012825 3 1 1949 66150.9632 29.0410578 66203.7161 28.7343529 66256.4690 28.42739592825 3 1 1950 66309.2219 28.1201315 66353.6851 27.8608783 66398.1483 27.60135192825 3 1 1951 66439.3268 27.3607410 66471.5201 27.1724139 66488.4914 27.08300302825 3 1 1952 66535.1250 26.8369853 66575.3732 26.6243978 66615.3994 26.41275842825 3 1 1953 66655.4257 26.2009092 66695.4519 25.9888701 66746.4568 25.71842992825 3 1 1954 66797.8901 25.4454741 66808.4402 25.3953174 66870.4237 25.10041032825 3 1 1955 67040.8782 24.2890599 67102.8616 23.9941631 67124.2601 23.89241192825 3 1 1956 67149.3491 23.7864706 67195.8367 23.5903002 67242.3243 23.39427592825 3 1 1957 67273.3160 23.2636806 67304.3077 23.1331582 67335.2994 23.00271052825 3 1 1958 67366.2912 22.8723379 67397.2829 22.7420415 67428.2746 22.61182072825 3 1 1959 67450.6301 22.5179413 67459.2663 22.4858421 67490.2581 22.37072442825 3 1 1960 67521.2498 22.2556792 67552.2415 22.1407041 67583.2332 22.02579712825 3 1 1961 67614.2249 21.9109562 67645.2166 21.7961789 67676.2083 21.68146312825 3 1 1962 67707.2000 21.5668061 67744.7754 21.4278677 67777.0000 21.30878172825 3 1 1963 67782.3508 21.2912367 67819.9262 21.1681027 67857.5015 21.04503842825 3 1 1964 67895.0769 20.9220383 67932.6523 20.7990974 67957.7025 20.71716742825 3 1 1965 68007.8030 20.5533723 68057.9035 20.3896522 68096.4100 20.26387392825 3 1 1966 68133.0543 20.1572306 68333.4563 19.5742294 68408.6070 19.35551582825 3 1 1967 68415.8200 19.3345113 68483.7578 19.1565491 68555.8690 18.96750402825 3 1 1968 68627.9900 18.7782741 68671.3760 18.6643469 68702.8550 18.59094922825 3 1 1969 68772.8872 18.4275431 68956.3676 17.9992683 68960.9204 17.98864892825 3 1 1970 69029.7597 17.8521812 69084.8038 17.7431747 69139.8479 17.63429202825 3 1 1971 69194.8920 17.5255490 69249.9361 17.4169524 69250.4647 17.41591092825 3 1 1972 69304.9802 17.3243801 69360.0242 17.2320888 69453.9300 17.07485102825 3 1 1973 69576.6535 16.8694608 69638.0153 16.7666475 69699.3770 16.66365472825 3 1 1974 69742.8520 16.5905363 69786.3269 16.5172699 69834.1804 16.43643082825 3 1 1975 69876.9534 16.3639870 69916.9921 16.2960055 69965.8908 16.21275382825 3 1 1976 70006.2355 16.1438732 70008.5459 16.1394757 70041.6490 16.07634232825 3 1 1977 70086.7697 15.9901184 70133.9089 15.8998422 70179.2160 15.81290752825 3 1 1978 70222.6910 15.7293563 70287.9033 15.6038394 70374.8531 15.43625762825 3 1 1979 70505.2778 15.1847950 70560.9956 15.0774595 70602.7840 14.99702542825 3 1 1980 70644.5723 14.9166622 70686.3607 14.8363780 70687.8853 14.83345202825 3 1 1981 70728.1489 14.7688105 70756.0078 14.7241336 70783.8667 14.67949702825 3 1 1982 70811.7256 14.6349009 70839.5845 14.5903450 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