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 9.00000E+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 900.000000 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 34229 32825 1451 560 3 2 13793 32825 1451 561 3 3 21008 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 20984 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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20041.7224 26.0254559 20041.9972 25.95057332825 3 1 1844 20042.2720 25.8767579 20042.5468 25.8039595 20042.8215 25.73215472825 3 1 1845 20043.0963 25.6612424 20043.2337 25.6262216 20043.3711 25.60078822825 3 1 1846 20043.6459 25.5507454 20043.9206 25.5014986 20044.1954 25.45296752825 3 1 1847 20044.4702 25.4051272 20044.7450 25.3579361 20044.8823 25.33466212825 3 1 1848 20045.0197 25.3200402 20045.2945 25.2913670 20045.5692 25.26323812825 3 1 1849 20045.8440 25.2355977 20046.1737 25.2030466 20046.4622 25.17506982825 3 1 1850 20046.7507 25.1475297 20047.0393 25.1203844 20047.3277 25.09363122825 3 1 1851 20047.6162 25.0672135 20047.9047 25.0411137 20047.9596 25.03621142825 3 1 1852 20048.2894 25.0233796 20048.6741 25.0088775 20049.0587 24.99479482825 3 1 1853 20049.4434 24.9810790 20049.8281 24.9676931 20050.2128 24.95460042825 3 1 1854 20050.5974 24.9417715 20050.9821 24.9291702 20051.3667 24.91677692825 3 1 1855 20051.7514 24.9045618 20052.1360 24.8925108 20052.6306 24.87722012825 3 1 1856 20053.1252 24.8621313 20053.6198 24.8472157 20053.8945 24.83901422825 3 1 1857 20054.1144 24.8368429 20054.6090 24.8320873 20055.3509 24.82515642825 3 1 1858 20056.0927 24.8184277 20056.8346 24.8118621 20057.5765 24.80543142825 3 1 1859 20058.0710 24.8012088 20059.0602 24.7928904 20060.0493 24.78471642825 3 1 1860 20061.1209 24.7759931 20062.1925 24.7673839 20063.2641 24.75887042825 3 1 1861 20064.3357 24.7504383 20065.7644 24.7393037 20067.1932 24.72827222825 3 1 1862 20068.6220 24.7173282 20070.0508 24.7064587 20071.4795 24.69565392825 3 1 1863 20073.1282 24.6832537 20074.7768 24.6709172 20076.4254 24.65863462825 3 1 1864 20076.7550 24.6561884 20078.0739 24.6508266 20080.2720 24.64195302825 3 1 1865 20082.4702 24.6331396 20084.6683 24.6243780 20086.8664 24.61565992825 3 1 1866 20089.0645 24.6069793 20091.7023 24.5966044 20094.3400 24.58626912825 3 1 1867 20096.0985 24.5793976 20099.6155 24.5656929 20103.1325 24.55203172825 3 1 1868 20106.6495 24.5384064 20110.1665 24.5248110 20113.6835 24.51124102825 3 1 1869 20118.8842 24.4912129 20123.9350 24.4717977 20128.9859 24.45241032825 3 1 1870 20134.0368 24.4330459 20140.7712 24.4072560 20147.5057 24.38149222825 3 1 1871 20154.2401 24.3557499 20164.3418 24.3171674 20175.4132 24.27491342825 3 1 1872 20188.4242 24.2252883 20201.4352 24.1756883 20214.4461 24.12610732825 3 1 1873 20231.7940 24.0600212 20255.3376 23.9703578 20270.2072 23.91374012825 3 1 1874 20290.0334 23.8382619 20299.9465 23.8056866 20329.6858 23.70797922825 3 1 1875 20359.4251 23.6102821 20399.0775 23.4800330 20463.1646 23.26954432825 3 1 1876 20536.4686 23.0288085 20609.0764 22.7903841 20623.5979 22.74270282825 3 1 1877 20652.6410 22.6473458 20667.1626 22.6060167 20710.7272 22.48204542825 3 1 1878 20739.7703 22.3994097 20768.8134 22.3167865 20805.1173 22.21353052825 3 1 1879 20826.8996 22.1515949 20848.6820 22.0896771 20870.4643 22.02778352825 3 1 1880 20884.9858 21.9865386 20899.5074 21.9453111 20914.0289 21.90410552825 3 1 1881 20924.3045 21.8749645 20934.5801 21.8458414 20944.8557 21.81673972825 3 1 1882 20955.1313 21.7876632 20965.4069 21.7586171 20974.6280 21.73258532825 3 1 1883 20983.3220 21.7080783 20989.1180 21.6917636 20994.9140 21.67547092825 3 1 1884 20999.7440 21.6619152 21000.7100 21.6599585 21006.5060 21.64824932825 3 1 1885 21012.3020 21.6365766 21017.2930 21.6265595 21021.4790 21.61818652825 3 1 1886 21025.6650 21.6098432 21029.8510 21.6015344 21034.0370 21.59326572825 3 1 1887 21038.2230 21.5850439 21042.4090 21.5768775 21045.5485 21.57079482825 3 1 1888 21048.6880 21.5647538 21051.5860 21.5592195 21054.4840 21.55373132825 3 1 1889 21057.3820 21.5482956 21060.2800 21.5429202 21063.1780 21.53761412825 3 1 1890 21066.0760 21.5323885 21068.9740 21.5272566 21071.1475 21.52347872825 3 1 1891 21073.8040 21.5189571 21074.4480 21.5178862 21075.7360 21.51797362825 3 1 1892 21077.6680 21.5181775 21079.6000 21.5184640 21081.5320 21.51884432825 3 1 1893 21083.4640 21.5193317 21084.7520 21.5197387 21085.3960 21.52224012825 3 1 1894 21087.3280 21.5298862 21088.7770 21.5357274 21090.2260 21.54167242825 3 1 1895 21091.6750 21.5477344 21093.1240 21.5539288 21094.5730 21.56027382825 3 1 1896 21096.0220 21.5667909 21097.4710 21.5735058 21098.9200 21.58044982825 3 1 1897 21100.0470 21.5860330 21101.1740 21.5917992 21102.3010 21.59777412825 3 1 1898 21103.4280 21.6039889 21103.7500 21.6058440 21104.5550 21.61993262825 3 1 1899 21105.6820 21.6399824 21106.5273 21.6552703 21107.3725 21.67080542825 3 1 1900 21108.3788 21.6896816 21109.2643 21.7066973 21110.1498 21.72417042825 3 1 1901 21110.8139 21.7376321 21111.4780 21.7514561 21112.1422 21.77892022825 3 1 1902 21112.8063 21.8068814 21113.4704 21.8354375 21114.1345 21.86470322825 3 1 1903 21114.5773 21.8846791 21114.6980 21.8902403 21115.0200 21.91651602825 3 1 1904 21115.5634 21.9615233 21116.1068 22.0073760 21116.6502 22.05421352825 3 1 1905 21117.0124 22.0860587 21117.3747 22.1184760 21117.7369 22.15150742825 3 1 1906 21117.9180 22.1683674 21118.0992 22.1951267 21118.4614 22.24937632825 3 1 1907 21118.8237 22.3044804 21119.1859 22.3604946 21119.5280 22.41436262825 3 1 1908 21119.5482 22.4188269 21119.9104 22.4999951 21120.2727 22.58241612825 3 1 1909 21120.6349 22.6661629 21120.9569 22.7418499 21121.1380 22.78524522825 3 1 1910 21121.3795 22.8624897 21121.8022 23.0000979 21122.2248 23.14032812825 3 1 1911 21122.3455 23.1812137 21122.6474 23.3097271 21122.9292 23.43144652825 3 1 1912 21123.2109 23.5546338 21123.4081 23.6419909 21123.4927 23.68782932825 3 1 1913 21123.9153 23.9200153 21124.3379 24.1563469 21124.3983 24.19076582825 3 1 1914 21124.7605 24.4390747 21125.1832 24.7336975 21125.3884 24.87909372825 3 1 1915 21125.5575 25.0220546 21125.9077 25.3220319 21126.2578 25.62591142825 3 1 1916 21126.3786 25.7322094 21126.6080 25.9703580 21126.9582 26.33830612825 3 1 1917 21127.3084 26.7108408 21127.3687 26.7758082 21127.6585 27.13058432825 3 1 1918 21128.0087 27.5642511 21128.0288 27.5894852 21128.4756 28.21784082825 3 1 1919 21128.8258 28.7165163 21128.9304 28.8672278 21129.2363 29.36441742825 3 1 1920 21129.7676 30.2392939 21129.8320 30.3469151 21130.2989 31.21634142825 3 1 1921 21130.7336 32.0365062 21130.8302 32.2372033 21131.3615 33.35401602825 3 1 1922 21131.6352 33.9358789 21131.8928 34.5321465 21132.4724 35.88761432825 3 1 1923 21132.6012 36.1918334 21133.0520 37.3354682 21133.5672 38.65574162825 3 1 1924 21133.9214 39.6199968 21134.8552 42.1870996 21134.9840 42.55338392825 3 1 1925 21137.4312 49.5501850 21137.5600 49.9148960 21138.4616 52.30673542825 3 1 1926 21138.9768 53.6524949 21139.3632 54.5568465 21139.9428 55.88493952825 3 1 1927 21140.1360 56.2682620 21140.8122 57.5746358 21140.9088 57.75626552825 3 1 1928 21141.3918 58.5038951 21141.6816 58.9363819 21142.0358 59.33337522825 3 1 1929 21142.5961 59.9285565 21142.6219 59.9542154 21143.3560 60.36927292825 3 1 1930 21143.5106 60.4451900 21144.0000 60.5209391 21144.6955 60.34491772825 3 1 1931 21144.8758 60.2857730 21145.4168 59.8810390 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25.7945588 21161.9032 25.4250944 21162.0803 25.25804162825 3 1 1945 21162.2896 25.0901094 21162.6760 24.7847925 21163.0624 24.48391252825 3 1 1946 21163.0785 24.4715493 21163.4488 24.2388705 21163.8352 23.99996892825 3 1 1947 21164.2216 23.7646968 21164.2860 23.7260470 21164.6080 23.57280202825 3 1 1948 21164.9300 23.4219545 21165.2520 23.2731390 21165.4935 23.16295152825 3 1 1949 21165.5740 23.1340284 21165.8960 23.0201069 21166.2180 22.90783472825 3 1 1950 21166.5400 22.7970954 21166.7010 22.7424370 21166.8620 22.70122922825 3 1 1951 21167.1840 22.6201314 21167.5060 22.5402529 21167.8280 22.46150062825 3 1 1952 21168.1500 22.3837873 21168.3110 22.3454091 21168.4720 22.31959552825 3 1 1953 21168.7940 22.2688489 21169.1160 22.2189119 21169.4380 22.16971822825 3 1 1954 21169.7600 22.1212063 21170.1625 22.0614391 21170.5650 22.00254682825 3 1 1955 21170.7260 21.9793032 21170.9675 21.9585424 21171.3700 21.92464142825 3 1 1956 21171.7725 21.8913662 21172.1750 21.8586502 21172.5775 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21215.5645 21.1723218 21217.9795 21.15873372825 3 1 1970 21220.3945 21.1452266 21222.8095 21.1317902 21225.2245 21.11841592825 3 1 1971 21226.4320 21.1117582 21228.0420 21.1070860 21231.2620 21.09782032825 3 1 1972 21234.4820 21.0886268 21237.7020 21.0794955 21240.9220 21.07041802825 3 1 1973 21244.1420 21.0613872 21247.3620 21.0523974 21250.5820 21.04344362825 3 1 1974 21254.6875 21.0320729 21257.1830 21.0251833 21262.1740 21.01144702825 3 1 1975 21267.1650 20.9977601 21272.1560 20.9841149 21277.1470 20.97050522825 3 1 1976 21282.1380 20.9569263 21287.1290 20.9433741 21294.0036 20.92474442825 3 1 1977 21299.6543 20.9094585 21307.1886 20.8891085 21314.7229 20.86878892825 3 1 1978 21322.2572 20.8484951 21329.7915 20.8282231 21337.3258 20.80796952825 3 1 1979 21348.6273 20.7776163 21360.7941 20.7449697 21373.3937 20.71118942825 3 1 1980 21385.9931 20.6774317 21398.5927 20.6436900 21404.6590 20.62745142825 3 1 1981 21411.1922 20.6128717 21427.0582 20.5774811 21449.4573 20.52754262825 3 1 1982 21471.8565 20.4776259 21497.9888 20.4194114 21525.9877 20.35705632825 3 1 1983 21553.9865 20.2947154 21583.8520 20.2282299 21613.7175 20.16175362825 3 1 1984 21658.5158 20.0620532 21703.3140 19.9623622 21763.0450 19.82945412825 3 1 1985 21852.6415 19.6301101 21942.2380 19.4570538 22061.7000 19.22632592825 3 1 1986 22181.1620 18.9956078 22360.3550 18.6495432 22539.5480 18.34832512825 3 1 1987 22778.4720 17.9467122 22897.9340 17.7459101 23017.3960 17.56896352825 3 1 1988 23359.3600 17.0624601 23462.4000 16.9098446 23720.0000 16.57759792825 3 1 1989 24047.2037 16.1555877 24156.2715 16.0149202 24347.6000 15.80090582825 3 1 1990 24544.4400 15.5807332 24610.5368 15.5068066 24646.4342 15.46666172825 3 1 1991 24669.0190 15.4414102 24684.9475 15.4236074 24695.5665 15.41174512825 3 1 1992 24703.7250 15.4026381 24709.4230 15.3962838 24715.1210 15.38993822825 3 1 1993 24719.3945 15.3851884 24722.2435 15.3820299 24724.6393 15.37938312825 3 1 1994 24726.0962 15.3777810 24727.5530 15.3761889 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310281882 371191.357 .127384397 371195.594 .134699703 371199.662 .1409990782825 310281883 371203.729 .146411397 371206.984 .149999277 371210.238 .1528498912825 310281884 371214.306 .155294701 371217.641 .156322118 371219.783 .1565055172825 310281885 371222.712 .156149311 371226.780 .154504685 371230.847 .1515732142825 310281886 371234.848 .147521040 371238.712 .142618924 371242.576 .1368758682825 310281887 371246.712 .129961732 371252.406 .119490125 371267.457 .0899065092825 310281888 371273.050 .079356781 371276.779 .072696271 371280.507 .0664017162825 310281889 371283.558 .061548046 371287.117 .056243785 371290.677 .0513326882825 310281890 371294.236 .046818022 371297.796 .042689617 371300.168 .0401473092825 310281891 371302.710 .037600769 371305.422 .035078480 371308.134 .0327470312825 310281892 371310.846 .030595573 371313.557 .028613594 371316.269 .0267883072825 310281893 371318.981 .025109226 371321.693 .023565354 371324.743 .0219774052825 310281894 371328.133 .020379890 371331.523 .018940859 371334.913 .0176433152825 310281895 371338.302 .016472101 371341.692 .015412545 371345.082 .0144524752825 310281896 371348.472 .013580722 371352.200 .012712241 371356.268 .0118592332825 310281897 371360.336 .011092461 371364.404 .010400819 371368.471 .0097749592825 310281898 371372.539 .009206462 371376.607 .008688551 371380.675 .0082152792825 310281899 371385.420 .007712881 371390.844 .007195710 371396.268 .0067312862825 310281900 371401.692 .006312486 371407.115 .005933438 371412.539 .0055890202825 310281901 371417.962 .005275152 371423.386 .004988143 371429.487 .0046936972825 310281902 371436.267 .004397430 371443.046 .004129666 371449.826 .0038867372825 310281903 371456.605 .003665683 371463.385 .003463862 371470.164 .0032791302825 310281904 371476.944 .003109540 371484.401 .002938588 371492.537 .0027685492825 310281905 371500.672 .002613706 371508.808 .002472240 371516.943 .0023426612825 310281906 371525.079 .002223623 371533.214 .002114025 371545.416 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373877.838 .0004214152825 310281932 373882.170 .000441004 373886.503 .000464069 373889.391 .0004819862825 310281933 373892.279 .000502545 373895.167 .000526451 373897.334 .0005471362825 310281934 373899.500 .000570707 373901.666 .000597781 373903.832 .0006290982825 310281935 373905.998 .000665556 373907.642 .000697321 373909.484 .0007378672825 310281936 373910.866 .000772252 373912.248 .000810522 373913.630 .0008531722825 310281937 373915.012 .000900754 373916.394 .000953884 373917.775 .0010132032825 310281938 373919.158 .001079607 373920.539 .001153745 373921.921 .0012367022825 310281939 373923.303 .001329451 373924.685 .001433119 373926.067 .0015489442825 310281940 373927.449 .001678277 373928.370 .001772690 373929.291 .0018742232825 310281941 373930.213 .001983492 373931.134 .002100783 373932.055 .0022267582825 310281942 373932.976 .002361997 373933.898 .002507269 373934.819 .0026628972825 310281943 373935.740 .002829701 373936.870 .003050654 373937.875 .0032632812825 310281944 373938.880 .003492121 373939.885 .003738217 373940.890 .0040026622825 310281945 373941.895 .004286591 373942.900 .004591181 373943.905 .0049176572825 310281946 373944.910 .005267281 373945.915 .005641361 373946.920 .0060412412825 310281947 373948.260 .006616940 373949.600 .007244334 373950.940 .0079268902825 310281948 373952.280 .008668156 373953.620 .009471746 373954.960 .0103413202825 310281949 373956.300 .011280562 373957.640 .012293157 373959.148 .0135249832825 310281950 373960.655 .014858542 373962.163 .016300579 373963.670 .0178539422825 310281951 373965.178 .019525179 373966.685 .021316214 373968.193 .0232331452825 310281952 373969.700 .025276656 373971.208 .027452112 373972.715 .0297586292825 310281953 373974.474 .032620034 373976.735 .036566438 373978.997 .0408139102825 310281954 373981.258 .045350928 373983.519 .050166056 373985.780 .0552402062825 310281955 373989.047 .062977085 373992.313 .071099632 374002.698 .0979200262825 310281956 374007.220 .109062027 374010.637 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310281969 374105.501 .010020791 374106.590 .009328889 374107.679 .0086801312825 310281970 374108.768 .008072554 374109.856 .007504721 374111.238 .0068369202825 310281971 374112.494 .006278919 374113.750 .005764596 374115.007 .0052908622825 310281972 374116.263 .004855835 374117.519 .004456578 374118.775 .0040906512825 310281973 374120.032 .003755460 374121.288 .003449307 374122.544 .0031697922825 310281974 374123.800 .002914901 374125.057 .002682557 374126.313 .0024713322825 310281975 374127.569 .002279347 374128.825 .002105017 374130.082 .0019467432825 310281976 374131.338 .001803395 374132.594 .001673554 374133.850 .0015560262825 310281977 374135.107 .001449625 374136.363 .001353497 374137.200 .0012946232825 310281978 374138.415 .001215932 374139.629 .001144651 374140.844 .0010799812825 310281979 374142.058 .001021402 374143.273 .000968244 374144.487 .0009200682825 310281980 374145.701 .000876351 374146.915 .000836656 374148.130 .0008005592825 310281981 374149.952 .000752453 374151.773 .000710653 374153.595 .0006741842825 310281982 374155.416 .000642292 374157.238 .000614262 374159.059 .0005895452825 310281983 374161.488 .000560869 374163.917 .000536229 374166.345 .0005148612825 310281984 374168.774 .000496136 374172.418 .000471977 374176.060 .0004514802825 310281985 374179.327 .000435471 374184.226 .000414678 374189.125 .0003968342825 310281986 374194.025 .000381245 374198.924 .000367455 374205.457 .0003513132825 310281987 374211.989 .000337261 374218.522 .000324912 374228.320 .0003089892825 310281988 374236.266 .000297941 374244.212 .000288257 374256.131 .0002758202825 310281989 374268.049 .000265402 374279.967 .000256589 374291.885 .0002490672825 310281990 374307.776 .000240643 374323.667 .000233671 374339.558 .0002278402825 310281991 374362.557 .000220976 374383.881 .000215903 374412.312 .0002106002825 310281992 374440.744 .000206556 374483.391 .000202144 374526.038 .0001991372825 310281993 374582.901 .000196671 374633.057 .000195580 374683.213 .0001951732825 310281994 374750.088 .000195457 374850.401 .000197301 374950.712 .0002005262825 310281995 375051.025 .000205005 375151.337 .000210765 375251.649 .0002179702825 310281996 375351.961 .000226924 375418.836 .000234109 375485.710 .0002425202825 310281997 375546.861 .000251503 375608.011 .000262101 375653.875 .0002714662825 310281998 375699.737 .000282329 375745.324 .000295007 375775.346 .0003046412825 310281999 375805.369 .000315563 375835.391 .000328062 375865.414 .0003425002825 310282000 375895.436 .000359391 375917.953 .000374100 375940.470 .0003909972825 310282001 375962.987 .000410596 375984.349 .000432307 375998.205 .0004483862825 310282002 376012.062 .000466369 376025.918 .000486609 376039.775 .0005095582825 310282003 376053.631 .000535770 376067.488 .000565963 376077.880 .0005917642825 310282004 376085.963 .000614049 376095.201 .000642286 376104.439 .0006739692825 310282005 376113.677 .000709735 376122.914 .000750376 376129.843 .0007846662825 310282006 376136.771 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