28-Ni- 60 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 28060.0000 59.4160000 2 0 0 42831 1451 1 0.0 0.0 0 0 0 62831 1451 2 1.00000000 150000000. 8 0 10 72831 1451 3 1800.00000 0.0 1 0 514 692831 1451 4 28-Ni- 60 LANL,ORNL EVAL-SEP97 S.Chiba,M.B.Chadwick,Larson 2831 1451 5 CH97,CH99 DIST-DEC06 REV3- 20011108 2831 1451 6 ----ENDF/B-VII MATERIAL 2831 REVISION 3 2831 1451 7 -----INCIDENT NEUTRON DATA 2831 1451 8 ------ENDF-6 FORMAT 2831 1451 9 2831 1451 10 Oct 22,2004, Holly Trellue remade mf6mt5 using corrected gnash 2831 1451 11 code, to fix an earlier bug. Impact is reduced sec. particle prod.2831 1451 12 for new ENDF/B-VII release 2831 1451 13 ******************************************************************2831 1451 14 2831 1451 15 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2831 1451 16 P.G. Young (LANL) 2831 1451 17 2831 1451 18 The secondary gamma-ray spectrum for radiative capture (MF 12, 2831 1451 19 MT 102) has been updated for new experimental data at incident 2831 1451 20 neutron energies up to 1 keV. 2831 1451 21 The Q-value for radiative capture was also updated in File 3. 2831 1451 22 Details of these changes are described in Frankel et al. [Fr01]. 2831 1451 23 2831 1451 24 **************************************************************** 2831 1451 25 2831 1451 26 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2831 1451 27 M.B. Chadwick, P.G. Young (LANL), and 2831 1451 28 A.J. Koning (ECN) 2831 1451 29 2831 1451 30 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2831 1451 31 in cooperation with ECN Petten. 2831 1451 32 2831 1451 33 This evaluation provides a complete representation of the 2831 1451 34 nuclear data needed for transport, damage, heating, 2831 1451 35 radioactivity, and shielding applications over the incident 2831 1451 36 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2831 1451 37 here is divided into the region below and above 20 MeV. 2831 1451 38 2831 1451 39 INCIDENT NEUTRON ENERGIES < 20 MeV 2831 1451 40 2831 1451 41 Below 20 MeV the evaluation is based completely on the ENDF/B- 2831 1451 42 VI.5(Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, and 2831 1451 43 Fu. 2831 1451 44 2831 1451 45 INCIDENT NEUTRON ENERGIES > 20 MeV 2831 1451 46 2831 1451 47 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2831 1451 48 includes cross sections and energy-angle data for all 2831 1451 49 significant reactions. The present evaluation utilizes a more 2831 1451 50 compact composite reaction spectrum representation above 20 MeV 2831 1451 51 in order to reduce the length of the file. No essential data for 2831 1451 52 applications is lost with this representation. 2831 1451 53 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2831 1451 54 all reaction data. Production cross sections and emission 2831 1451 55 spectra are given for neutrons, protons, deuterons, tritons, 2831 1451 56 alpha particles, gamma rays, and all residual nuclides produced 2831 1451 57 (A>5) in the reaction chains. To summarize, the ENDF sections 2831 1451 58 with non-zero data above En = 20 MeV are: 2831 1451 59 2831 1451 60 MF=3 MT= 1 Total Cross Section 2831 1451 61 MT= 2 Elastic Scattering Cross Section 2831 1451 62 MT= 3 Nonelastic Cross Section 2831 1451 63 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2831 1451 64 2831 1451 65 MF=4 MT= 2 Elastic Angular Distributions 2831 1451 66 2831 1451 67 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2831 1451 68 Distributions for Emission Neutrons, Protons, 2831 1451 69 Deuterons, Tritons, and Alphas; and Angle- 2831 1451 70 Integrated Spectra for Gamma Rays and Residual 2831 1451 71 Nuclei That Are Stable Against Particle Emission 2831 1451 72 2831 1451 73 The evaluation is based on nuclear model calculations that 2831 1451 74 have been benchmarked to experimental data, especially for n + 2831 1451 75 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2831 1451 76 [Yo92], which utilizes Hauser-Feshbach statistical, 2831 1451 77 preequilibrium and direct-reaction theories. Spherical optical 2831 1451 78 model calculations are used to obtain particle transmission 2831 1451 79 coefficients for the Hauser-Feshbach calculations, as well as 2831 1451 80 for the elastic neutron angular distributions. 2831 1451 81 Cross sections and spectra for producing individual residual 2831 1451 82 nuclei are included for reactions. The energy-angle-correlations 2831 1451 83 for all outgoing particles are based on Kalbach systematics 2831 1451 84 [Ka88]. 2831 1451 85 A model was developed to calculate the energy distributions of 2831 1451 86 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2831 1451 87 energy distributions are represented in the laboratory system in 2831 1451 88 MT=5, MF=6, and are given as isotropic in the lab system. All 2831 1451 89 other data in MT=5,MF=6 are given in the center-of-mass system. 2831 1451 90 This method of representation utilizes the LCT=3 option approved 2831 1451 91 at the November, 1996, CSEWG meeting. 2831 1451 92 Preequilibrium corrections were performed in the course of the 2831 1451 93 GNASH calculations using the exciton model of Kalbach [Ka77, 2831 1451 94 Ka85], validated by comparison with calculations using Feshbach, 2831 1451 95 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2831 1451 96 nuclear data sheets were matched to continuum level densities 2831 1451 97 using the formulation of Gilbert and Cameron [Gi65] and pairing 2831 1451 98 and shell parameters from the Cook [Co67] analysis. Neutron and 2831 1451 99 charged- particle transmission coefficients were obtained from 2831 1451 100 the optical potentials, as discussed below. Gamma-ray 2831 1451 101 transmission coefficients were calculated using the Kopecky-Uhl 2831 1451 102 model [Ko90]. 2831 1451 103 2831 1451 104 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2831 1451 105 2831 1451 106 The neutron total cross section was evaluated based on the 2831 1451 107 least-squares method taking account of the experimental 2831 1451 108 data [Du67, Bo71, St71, Sm79, Fe80, Pe82, Ha82a, Di97]. The data 2831 1451 109 for natural Ni [Di97] was also used because there was not enough 2831 1451 110 data for Ni-60 above 20 MeV. The data for natural Ni were 2831 1451 111 transformed to the Ni-60 cross section according to A*(2/3) law. 2831 1451 112 Result of this estimation was used as the evaluated total cross 2831 1451 113 section data above 20 MeV. 2831 1451 114 2831 1451 115 The evaluated total cross section data (1 to 250 MeV), s-wave 2831 1451 116 strength function [Mu81] and elastic scattering angular 2831 1451 117 distribution data [Bo71, Gu85, Tu73, Ya79] were used to obtain the2831 1451 118 neutron optical potential parameters. The parameter estimation was2831 1451 119 carried out based on Marquart-Bayesian approach [Sm91], where 2831 1451 120 ECIS95 code [Ra96] was used for the optical model calculation. We2831 1451 121 have employed the energy dependence of the optical potential 2831 1451 122 similar to Delaroche's work [De89]. The initial potential 2831 1451 123 parameters were adopted from Koning and Delaroche [Ko97]. A total2831 1451 124 of 7 parameters concerning the central potential depth were 2831 1451 125 estimated with associated covariance matrix, while the geometrical2831 1451 126 parameters were fixed to the result of a similar search for n + 2831 1451 127 Ni-58. Presently obtained potential was used for the calculation 2831 1451 128 of neutron transmission coefficients and DWBA cross sections in 2831 1451 129 the energy region above 20 MeV. Below 20 MeV, the Harper neutron 2831 1451 130 potential [Ha82b] was used for the calculation of transmission 2831 1451 131 coefficients. 2831 1451 132 2831 1451 133 The proton optical potential was also searched to obtain a good 2831 1451 134 description of proton-total reaction cross section as predicted by2831 1451 135 Wellisch-Axen systematic [We96] above 50 MeV. The parameter 2831 1451 136 estimation was carried out by the Marquart-Bayesian approach 2831 1451 137 similar to the neutron OMP, but trying to seek the best parameter 2831 1451 138 to reproduce the reaction cross sections compiled by Carlson 2831 1451 139 [Ca96] and Wellisch values. The experimental data in Carlson 2831 1451 140 [Ca96] was scaled for Ni-60 according to A**(2/3) law. In this 2831 1451 141 search, the geometrical parameters were fixed to be same as the 2831 1451 142 neutron potential. The present potential gives a good description2831 1451 143 of the proton total reaction cross section from 10 MeV to 250 MeV.2831 1451 144 However, after some trial and error to reproduce both the elastic 2831 1451 145 scattering and reaction cross section data for Ni-58, we have 2831 1451 146 employed the following combination of proton potentials: 2831 1451 147 2831 1451 148 0 to 5 MeV : Harper potential [Ha82b] 2831 1451 149 6 to 47 MeV : Koning and Delaroche [Ko97] 2831 1451 150 48 to 260 MeV : Present OMP 2831 1451 151 2831 1451 152 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2831 1451 153 for alpha particles the McFadden-Satchler [Mc66] potential was 2831 1451 154 used; and for tritons the Becchetti-Greenlees [Be71] potential was2831 1451 155 used. The He-3 channel was ignored. 2831 1451 156 2831 1451 157 The direct collective inelastic scattering to the following level 2831 1451 158 in Ni-60 was considered by the DWBA-mode calculation of ECIS95 2831 1451 159 [Ra96]: 2831 1451 160 2831 1451 161 Jpi Ex(MeV) Deformation length 2831 1451 162 2+ 1.331 0.8535 2831 1451 163 2831 1451 164 The deformation length was determined to much the ENDF/B-VI value 2831 1451 165 at 20 MeV. 2831 1451 166 2831 1451 167 Certain nuclear level densities were modified from the default 2831 1451 168 values in accordance with experimental level-density information 2831 1451 169 as follows. The level density of 57Fe was matched to the observed 2831 1451 170 D-0 value by modifying the pairing energy to 0.15 MeV; the level 2831 1451 171 density of the main competition channel, neutron emission to 60Ni,2831 1451 172 was adjusted to match Fischer et al.'s [Fi86] value of 3.85e3+-25%2831 1451 173 at 11 MeV excitation energy, but then increased slightly (a total 2831 1451 174 density increase of 11%) by using a pairing energy of 1.1 MeV, 2831 1451 175 since Haight's alpha production at 14 MeV is approx. 11% smaller 2831 1451 176 than Fischer et al.'s measurements. Production of residual nuclei 2831 1451 177 59Ni and 56Fe, through (n,2n) and (n,na) reactions, become 2831 1451 178 particularly important above 14 MeV. Pairing energies were 2831 1451 179 adjusted to match the level density for 59Ni at the neutron 2831 1451 180 binding energy (D0=12.9 keV), and Fischer et al.'s result for the 2831 1451 181 56Fe level density at 11 MeV. 2831 1451 182 2831 1451 183 The new Haight et al. [Ha97] LANL/WNR 60Ni(n,x alpha) data up to 2831 1451 184 50 MeV was used to benchmark our model calculations [Ch97] - 2831 1451 185 agreement with experiment was good. 2831 1451 186 2831 1451 187 **************************************************************** 2831 1451 188 2831 1451 189 REFERENCES 2831 1451 190 2831 1451 191 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2831 1451 192 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2831 1451 193 Barschall and W. Haeberli, The University of Wisconsin Press, 2831 1451 194 1971) p.682 2831 1451 195 [Bo71] P. Boschung et al, Nucl.Phys. A161, 593 (1971) 2831 1451 196 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2831 1451 197 93 (1996) 2831 1451 198 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2831 1451 199 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2831 1451 200 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2831 1451 201 Driven Technologies: Calculational Method for Heavy Recoils," 2831 1451 202 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2831 1451 203 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2831 1451 204 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2831 1451 205 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2831 1451 206 September 1997, internal Los Alamos National Laboratory memo T-2831 1451 207 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2831 1451 208 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 2831 1451 209 National Laboratory report, LA-UR-99-1222 (1999) 2831 1451 210 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2831 1451 211 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2831 1451 212 Phys. 20, 477 (1967) 2831 1451 213 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2831 1451 214 391 (1989) 2831 1451 215 [Di97] F. Dietrich et al., private communication (1997). 2831 1451 216 [Du67] Yu.V. Dukarevich et al., Nucl.Phys. A92, 433 (1967) 2831 1451 217 [Fe80] M.B. Fedorov et al., 80Kiev, 1, 309(1980) 2831 1451 218 [Fi86] R. Fischer, G. Traxler, M. Uhl at al., Phys Rev C34, 460 2831 1451 219 (1986) 2831 1451 220 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2831 1451 221 National Laboratory Report, LA-13812 (2001). 2831 1451 222 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2831 1451 223 densities of three formalisms on calculated cross sections", 2831 1451 224 personal communication, 1996 (to be published by the IAEA). 2831 1451 225 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2831 1451 226 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2831 1451 227 [Ha82a] J.A. Harvey et al, 82Anterp (1982) p. 856 2831 1451 228 [Ha82b] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2831 1451 229 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2831 1451 230 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2831 1451 231 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2831 1451 232 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2831 1451 233 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2831 1451 234 LA-10248-MS (1985) 2831 1451 235 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2831 1451 236 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2831 1451 237 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2831 1451 238 [Ko97] A. Koning and J.P. Delaroche, private communication. 2831 1451 239 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2831 1451 240 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2831 1451 241 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2831 1451 242 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2831 1451 243 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2831 1451 244 [Pe73] F.G. Perey, private communication (1973) [EXFOR 10342] 2831 1451 245 [Pe82] C.M. Perey et al, report ORNL-5893 (1982) 2831 1451 246 [Pe88] Pedroni et al, Phys.Rev.C 38, 2052 (1988) 2831 1451 247 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2831 1451 248 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2831 1451 249 51363, p.249(1981). 2831 1451 250 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2831 1451 251 Theorique, Saclay, France (personal communication through A. J.2831 1451 252 Koning, 1996). 2831 1451 253 [Sc73] W. Schimmerling et al., Phys.Rev.C 7, 248 (1973) 2831 1451 254 [Sm79] A.B. Smith et al., Nucl.Sci.Eng., 72, 293 (1979) 2831 1451 255 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2831 1451 256 in Nuclear Science and Technology" (American Nuclear Society, 2831 1451 257 1991) 2831 1451 258 [Sm92] A.B. Smith et al., J.Phys.G, 18, 629 (1992) 2831 1451 259 [St71] P. Stoler et al,, 71Knox, 1, 311 (1971) 2831 1451 260 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2831 1451 261 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2831 1451 262 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda, et al., Nucl. 2831 1451 263 Phys. A427, 493 (1984) 2831 1451 264 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2831 1451 265 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2831 1451 266 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2831 1451 267 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2831 1451 268 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2831 1451 269 report LA-12343-MS (1992) 2831 1451 270 2831 1451 271 **************************************************************** 2831 1451 272 2831 1451 273 ENDF/B-VI MOD 2 Revision, July 1991, D.C. Larson, C.M. Perey, 2831 1451 274 D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 275 2831 1451 276 REVISION 1 CHANGES 2831 1451 277 The resonance region from 1.E-5 eV to 450 keV has been changed,2831 1451 278 based on a SAMMY analysis by F. G. Perey of new 60Ni ORELA data 2831 1451 279 up to 100 keV of Harvey, Hill and Perey. This new work reproduces2831 1451 280 the thermal cross sections and includes the small resonances 2831 1451 281 inadvertently left out in the original file. No background 2831 1451 282 cross sections are required in file 3 in the resonance region. 2831 1451 283 Removed elastic transformation matrix. 2831 1451 284 2831 1451 285 **************************************************************** 2831 1451 286 2831 1451 287 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2831 1451 288 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 289 2831 1451 290 This work employed nuclear model codes including the 2831 1451 291 Distorted Wave Born Approximation (DWBA) program DWUCK (1) 2831 1451 292 and the Hauser-Feshbach code TNG (2,3,4). The TNG code provides 2831 1451 293 energy and angular distributions of particles emitted in the 2831 1451 294 compound and pre-compound reactions, ensures consistency among 2831 1451 295 all reactions, and maintains energy balance. Details pertinent 2831 1451 296 to the contents of this evaluation and extensive comparisons of 2831 1451 297 calculations with experimental data can be found in Hetrick (5). 2831 1451 298 2831 1451 299 ----- DESCRIPTION OF FILES 2831 1451 300 (MF-MT) 2831 1451 301 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2831 1451 302 2-151 RESONANCE PARAMETERS -- TAKEN FROM REF (6). THE NEGATIVE 2831 1451 303 ENERGY RESONANCES WERE ADJUSTED BY THE AUTHOR, C. M. PEREY2831 1451 304 TO GIVE THE PROPER THERMAL SCATTERING AND CAPTURE. USING 2831 1451 305 THESE MODIFIED RESULTS, NO BACKGROUND IS REQUIRED IN 3/1 2831 1451 306 IE, THE TOTAL, SCATTERING AND CAPTURE IS GIVEN COMPLETELY 2831 1451 307 BY THE RESONANCE PARAMETERS FROM 1.E-5 EV TO 450 KEV. 2831 1451 308 RESONANCE PARAMETERS ARE FROM A REICH-MOORE ANALYSIS WITH 2831 1451 309 THE CODE SAMMY (REF 7). 2831 1451 310 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2831 1451 311 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 3.9 B, 2831 1451 312 ELASTIC SCATTERING 0.98 B, AND CAPTURE 2.92 B. 2831 1451 313 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2831 1451 314 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2831 1451 315 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2831 1451 316 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2831 1451 317 3-1 TOTAL CROSS SECTION -- FROM 450 KEV TO 1611 KEV THE DATA 2831 1451 318 OF REF (8) WERE USED. FROM 1611 KEV TO 20 MEV THE DATA 2831 1451 319 OF REF (9) WERE USED. SEVERAL LOWER RESOLUTION DATA SETS 2831 1451 320 WERE ENERGY-BINNED AND CHECKED WITH BINNED DATA FROM 8,9. 2831 1451 321 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2831 1451 322 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2831 1451 323 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2831 1451 324 3-28, 3-102, 3-103, 3-104, AND 3-107. 2831 1451 325 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2831 1451 326 .., 3-61, AND 3-91 2831 1451 327 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 328 CODE (2,3,4,5), NO 60NI DATA AVAILABLE. 2831 1451 329 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 330 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN A EMISS 2831 1451 331 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 332 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN P EMISS 2831 1451 333 3-51 TO 3-61 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2831 1451 334 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2831 1451 335 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. CALCULATIONS 2831 1451 336 COMPARED WITH EXTENSIVE EXPERIMENTAL DATA (5). 3-51 CROSS2831 1451 337 SECTIONS ABOVE 4.0 MEV ADJUSTED TO BETTER FIT RECENT 2831 1451 338 MEASURED DATA. 2831 1451 339 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2831 1451 340 CALCULATED). 2831 1451 341 3-102 (N,G) CAPTURE CROSS SECTION TAKEN FROM RESONANCE PARAMETER2831 1451 342 FROM 1.E-5 EV TO 450 KEV. TNG CALCULATIONS WERE 2831 1451 343 NORMALIZED TO THE AVERAGED CROSS SECTION OBTAINED FROM THE2831 1451 344 RESONANCE PARAMETERS FROM 100-450 KEV. THESE NORMALIZED 2831 1451 345 TNG RESULTS WERE USED FROM 450 KEV TO 20 MEV. 2831 1451 346 3-103 (N,P) CROSS SECTIONS FOR EN LESS THAN OR EQUAL TO 12 MEV 2831 1451 347 WERE TAKEN FROM A CURVE DRAWN THROUGH THE DATA OF VONACH 2831 1451 348 ET AL. (10). THIS CURVE WAS CONNECTED TO THE ANL DATA OF 2831 1451 349 GREENWOOD (11) FROM 14.5 TO 15.0 MEV. FROM 15.0 TO 20.0 2831 1451 350 MEV THE DATA OF PAULSEN AND LISKIEN (12) WERE USED 2831 1451 351 AS A GUIDE. THE NEW DATA BY VONACH ET AL. (10) 2831 1451 352 RESULT IN AN INTEGRAL VALUE CLOSE TO THE 2.39 VALUE OF 2831 1451 353 MANNHART (13). 2831 1451 354 3-104 (N,D) CROSS SECTION - ENDF/B-V (14) VALUES WERE NORMALIZED2831 1451 355 TO THE DATA OF GRIMES ET AL. (15). 2831 1451 356 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2831 1451 357 TNG CODE (2,3,4,5). LIMITED DATA OTHER THAN A EMISSION. 2831 1451 358 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2831 1451 359 ELASTIC SCATTERING ARE FROM ENDF/B-V. AGREE WELL WITH DATA2831 1451 360 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2831 1451 361 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2831 1451 362 PARAMETERS IN 2/151. 2831 1451 363 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 364 NEUTRON AND 59NI RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 365 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 366 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2831 1451 367 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 368 THE OUTGOING NEUTRON). COMPARES WELL WITH N EMISSION DATA2831 1451 369 WHEN COMBINED WITH N FROM 6/22, 6/28 AND 6/91. 2831 1451 370 6-22 (N,NA)+(N,AN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 371 NEUTRON, ALPHA, AND 56FE RESIDUAL, AND ENERGY DEPENDENT 2831 1451 372 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2831 1451 373 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 374 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2831 1451 375 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2831 1451 376 ALPHA AND RESIDUAL). 2831 1451 377 6-28 (N,NP)+(N,PN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 378 NEUTRON, P, AND 59CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 379 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 380 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2831 1451 381 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 382 THE OUTGOING NEUTRON). 2831 1451 383 6-51 THROUGH 6-61 INELASTIC SCATTERING EXCITING LEVELS; EACH 2831 1451 384 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2831 1451 385 AND 60NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2831 1451 386 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2831 1451 387 BY DWUCK (1) AND TNG (2,3,4,5)), COMPARED WITH DATA IN (5)2831 1451 388 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2831 1451 389 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 60NI 2831 1451 390 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2831 1451 391 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2831 1451 392 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 393 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2831 1451 394 OUTGOING NEUTRON). 2831 1451 395 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2831 1451 396 AND 60CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 397 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 398 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 399 PRODUCT. COMPARES WELL WITH P EMISSION DATA WHEN COMBINED2831 1451 400 WITH 6/28. 2831 1451 401 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2831 1451 402 AND 57FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 403 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 404 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 405 PRODUCT. COMPARES WELL WITH A EMISSION DATA WHEN COMBINED2831 1451 406 WITH 6/22. 2831 1451 407 12-51 THROUGH 12-61 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2831 1451 408 BY HETRICK ET AL. (5), ARE GIVEN. 2831 1451 409 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2831 1451 410 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2831 1451 411 ASSUMED TO BE ISOTROPIC. 2831 1451 412 15-102 (N,G) CAPTURE; TNG CALCULATED 2831 1451 413 2831 1451 414 -------------------------------------------------------------- 2831 1451 415 UNCERTAINTY FILES 2831 1451 416 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2831 1451 417 REQUIRED BY ENDF/B-VI. 2831 1451 418 2831 1451 419 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 100 EV. FROM 100 2831 1451 420 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2831 1451 421 33-2 FROM 1.E-5 TO 100 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2831 1451 422 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 100 EV TO 2831 1451 423 20 MEV THE FILES ARE DERIVED. 2831 1451 424 33-3 FROM 1.E-5 TO 450 KEV UNCERTAINTIES ARE DERIVED. FROM 4502831 1451 425 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82831 1451 426 33-4 UNCERTAINTIES ARE ALL DERIVED. 2831 1451 427 33-16 COVARIANCES WERE ESTIMATED AS NO DATA AVAILABLE. 2831 1451 428 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2831 1451 429 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM DATA2831 1451 430 AND CALCULATION. 2831 1451 431 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2831 1451 432 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2831 1451 433 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2831 1451 434 ENERGIES, AND CALCULATED RESULTS ABOVE 450 KEV. 2831 1451 435 33-103 COVARIANCES - DATA OF VONACH ET AL. (10) AND CSISRS DATA 2831 1451 436 USED AS A GUIDE. 2831 1451 437 33-104 UNCERTAINTIES ESTIMATED, BASED ON DATA 2831 1451 438 33-107 UNCERTAINTIES EXPLICIT, BASED ON DATA AND TNG RESULTS. 2831 1451 439 ---------------------------------------------------------------- 2831 1451 440 REFERENCES: 2831 1451 441 (1) P.D. Kunz, "DISTORTED WAVE CODE DWUCK72," UNIV. OF 2831 1451 442 COLORADO, UNPUBLISHED (1972). 2831 1451 443 (2) C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) 2831 1451 444 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2831 1451 445 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2831 1451 446 p. 675 2831 1451 447 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2831 1451 448 ORNL/TM-10093 (1986) 2831 1451 449 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2831 1451 450 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2831 1451 451 (6) C.M. Perey, J.A. Harvey, R.L. Macklin, et al., Phys.Rev.C, 2831 1451 452 27, 2556 (1983) 2831 1451 453 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2831 1451 454 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2831 1451 455 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2831 1451 456 (8) J.A. Harvey, ORELA, 80-M NE110 TA TARGET DATA, SENT TO NNDC 2831 1451 457 (9) J.A. Harvey, ORELA, 80-M NE110 BE BLOCK DATA, SENT TO NNDC 2831 1451 458 (10) H. Vonach, M. Wagner, and R.C. Haight, "Neutron cross 2831 1451 459 sections of 58Ni and 60Ni for 8-12 MeV neutrons," private 2831 1451 460 communication, 1989 2831 1451 461 (11) L.R. Greenwood, report DOE-ER-0046-21 (1985) p. 15 2831 1451 462 (12) A. Paulsen, Nukleonik 10, 91 (1967) 2831 1451 463 (13) W. Mannhart, Proc. Fourth ASTM-Euratom Symp. on Reactor 2831 1451 464 Dosimetry, Vol. II, March 22-26, 1982 (1982) p. 637 2831 1451 465 (14) M. Divadeenam, Brookhaven National Laboratory report 2831 1451 466 BNL-NCS-51346 [ENDF-294] (1979) 2831 1451 467 (15) S.M. Grimes, R.C. Haight, K.R. Alvar, et al., Phys.Rev.C 2831 1451 468 19, 2127 (1979) 2831 1451 469 2831 1451 470 ************************ C O N T E N T S *********************** 2831 1451 471 ***************** Program LINEAR (VERSION 2007-1) ***************2831 1451 472 For All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 473 Data Linearized Using Energy Dependent Uncertainty 2831 1451 474 Energy Accuracy 2831 1451 475 (eV) (per-cent) 2831 1451 476 ----------- ----------- 2831 1451 477 0.0 .010000000 2831 1451 478 1.00000000 .010000000 2831 1451 479 10.0000000 .100000000 2831 1451 480 2.00000E+9 .100000000 2831 1451 481 ***************** Program RECENT (VERSION 2007-1) ***************2831 1451 482 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 483 Data Linearized Using Energy Dependent Uncertainty 2831 1451 484 Energy Accuracy 2831 1451 485 (eV) (per-cent) 2831 1451 486 ----------- ----------- 2831 1451 487 0.0 .010000000 2831 1451 488 1.00000000 .010000000 2831 1451 489 10.0000000 .100000000 2831 1451 490 2.00000E+9 .100000000 2831 1451 491 ***************** Program SIGMA1 (VERSION 2007-1) ***************2831 1451 492 Data Doppler Broadened to 1800.00000 Kelvin 2831 1451 493 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 494 Data Linearized Using Energy Dependent Uncertainty 2831 1451 495 Energy Accuracy 2831 1451 496 (eV) (per-cent) 2831 1451 497 ----------- ----------- 2831 1451 498 0.0 .010000000 2831 1451 499 1.00000000 .010000000 2831 1451 500 10.0000000 .100000000 2831 1451 501 2.00000E+9 .100000000 2831 1451 502 ***************** Program FIXUP (Version 2007-1) ****************2831 1451 503 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 504 Corrected Thresholds-----------------------------------------No 2831 1451 505 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 506 Allow Cross Section Deletion---------------------------------Yes 2831 1451 507 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 508 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 509 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 510 Deleted Duplicate Points-------------------------------------Yes 2831 1451 511 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 512 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 513 Allow Creation of Missing Sections---------------------------No 2831 1451 514 Allow Insertion of Energy Points-----------------------------No 2831 1451 515 Create Uniform Energy Grid-----------------------------------No 2831 1451 516 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 517 **************** Program DICTIN (VERSION 2007-1) ****************2831 1451 518 1 451 587 42831 1451 519 2 151 279 22831 1451 520 3 1 12337 32831 1451 521 3 2 3482 32831 1451 522 3 4 17 12831 1451 523 3 5 8 32831 1451 524 3 16 6 12831 1451 525 3 22 7 12831 1451 526 3 28 7 12831 1451 527 3 51 13 12831 1451 528 3 52 13 12831 1451 529 3 53 12 12831 1451 530 3 54 12 12831 1451 531 3 55 12 12831 1451 532 3 56 11 12831 1451 533 3 57 11 12831 1451 534 3 58 11 12831 1451 535 3 59 11 12831 1451 536 3 60 11 12831 1451 537 3 61 11 12831 1451 538 3 91 11 12831 1451 539 3 102 8911 42831 1451 540 3 103 12 12831 1451 541 3 104 11 12831 1451 542 3 107 122 12831 1451 543 4 2 3747 32831 1451 544 6 5 13230 32831 1451 545 6 16 316 12831 1451 546 6 22 421 12831 1451 547 6 28 413 12831 1451 548 6 51 47 12831 1451 549 6 52 44 12831 1451 550 6 53 7 12831 1451 551 6 54 41 12831 1451 552 6 55 7 12831 1451 553 6 56 41 12831 1451 554 6 57 7 12831 1451 555 6 58 7 12831 1451 556 6 59 7 12831 1451 557 6 60 7 12831 1451 558 6 61 7 12831 1451 559 6 91 1295 12831 1451 560 6 103 819 12831 1451 561 6 107 847 12831 1451 562 12 51 3 12831 1451 563 12 52 3 12831 1451 564 12 53 3 12831 1451 565 12 54 3 12831 1451 566 12 55 3 12831 1451 567 12 56 3 12831 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0.0 0.0 2831 2151 599 65201.0000 .500000000 454.740000 .940000000 0.0 0.0 2831 2151 600 86795.0000 .500000000 405.690000 .620000000 0.0 0.0 2831 2151 601 98046.0000 .500000000 1015.80000 .900000000 0.0 0.0 2831 2151 602 107800.000 .500000000 655.410000 .800000000 0.0 0.0 2831 2151 603 138980.000 .500000000 30.6800000 1.18000000 0.0 0.0 2831 2151 604 156320.000 .500000000 489.960000 .500000000 0.0 0.0 2831 2151 605 161690.000 .500000000 1355.40000 .460000000 0.0 0.0 2831 2151 606 186520.000 .500000000 5348.30000 2.90000000 0.0 0.0 2831 2151 607 197580.000 .500000000 2840.50000 1.20000000 0.0 0.0 2831 2151 608 200520.000 .500000000 9.77110000 .630000000 0.0 0.0 2831 2151 609 251900.000 .500000000 548.000000 1.28000000 0.0 0.0 2831 2151 610 256010.000 .500000000 879.700100 .560000000 0.0 0.0 2831 2151 611 257540.000 .500000000 1758.40000 .380000000 0.0 0.0 2831 2151 612 278850.000 .500000000 216.090000 .410000000 0.0 0.0 2831 2151 613 291820.000 .500000000 134.400000 .690000000 0.0 0.0 2831 2151 614 316910.000 .500000000 2838.00000 1.10000000 0.0 0.0 2831 2151 615 325400.000 .500000000 6829.50000 1.50000000 0.0 0.0 2831 2151 616 338310.000 .500000000 3559.70000 2.50000000 0.0 0.0 2831 2151 617 357510.000 .500000000 1673.80000 2.80000000 0.0 0.0 2831 2151 618 376690.000 .500000000 3882.00000 3.00000000 0.0 0.0 2831 2151 619 383020.000 .500000000 368.110000 1.82000000 0.0 0.0 2831 2151 620 413330.000 .500000000 347.940000 .930000000 0.0 0.0 2831 2151 621 418120.000 .500000000 87.3530000 1.30000000 0.0 0.0 2831 2151 622 422350.000 .500000000 1916.00000 2.10000000 0.0 0.0 2831 2151 623 437600.000 .500000000 1206.30000 1.35000000 0.0 0.0 2831 2151 624 443900.000 .500000000 203.990000 1.70000000 0.0 0.0 2831 2151 625 447830.000 .500000000 2774.00000 2.00000000 0.0 0.0 2831 2151 626 454030.000 .500000000 788.490000 2.00000000 0.0 0.0 2831 2151 627 456000.000 .500000000 151.000000 2.00000000 0.0 0.0 2831 2151 628 463410.000 .500000000 1550.40000 2.00000000 0.0 0.0 2831 2151 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0.0 0.0 2831 2151 675 97020.0000 .500000000 2.84950000 .810000000 0.0 0.0 2831 2151 676 99370.0000 .500000000 7.41150000 1.29000000 0.0 0.0 2831 2151 677 102140.000 .500000000 .500260000 .500520000 0.0 0.0 2831 2151 678 108520.000 .500000000 5.00260000 1.22130000 0.0 0.0 2831 2151 679 111550.000 .500000000 4.00210000 4.00420000 0.0 0.0 2831 2151 680 112080.000 .500000000 2.50130000 .460480000 0.0 0.0 2831 2151 681 112320.000 .500000000 3.50180000 .660690000 0.0 0.0 2831 2151 682 113400.000 .500000000 3.00160000 1.28130000 0.0 0.0 2831 2151 683 113950.000 .500000000 .090047000 .500520000 0.0 0.0 2831 2151 684 120610.000 .500000000 7.47710000 1.13120000 0.0 0.0 2831 2151 685 120940.000 .500000000 2.61900000 2.39250000 0.0 0.0 2831 2151 686 123710.000 .500000000 31.4890000 .800840000 0.0 0.0 2831 2151 687 127750.000 .500000000 67.4160000 .460510000 0.0 0.0 2831 2151 688 129860.000 .500000000 1.70090000 2.50260000 0.0 0.0 2831 2151 689 133610.000 .500000000 20.8760000 .650680000 0.0 0.0 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12.40147612831 3 1 1859 33502.9347 12.3802328 33512.1088 12.3449822 33521.4666 12.30915802831 3 1 1860 33530.8243 12.2734345 33537.0627 12.2496629 33549.5396 12.20220142831 3 1 1861 33555.7781 12.1785039 33564.4018 12.1457755 33567.8880 12.13255972831 3 1 1862 33578.7136 12.1101168 33595.4107 12.0755751 33614.4931 12.03616932831 3 1 1863 33624.0343 12.0164876 33638.3460 11.9869859 33647.1533 11.96884702831 3 1 1864 33661.8320 11.9478274 33679.4465 11.9226308 33697.0610 11.89745172831 3 1 1865 33732.2900 11.8471334 33755.7760 11.8136098 33802.7480 11.74659972831 3 1 1866 33855.5915 11.6712526 33861.4630 11.6628832 33884.9490 11.63620962831 3 1 1867 33928.9853 11.5862088 33975.9573 11.5328872 34072.8370 11.42293842831 3 1 1868 34202.0100 11.2763755 34225.4960 11.2497322 34352.7208 11.12721262831 3 1 1869 34523.0212 10.9632317 34750.0884 10.7446103 35090.6892 10.46597462831 3 1 1870 35431.2900 10.1873536 35885.4244 9.86770577 36112.4916 9.707888482831 3 1 1871 36566.6260 9.42791598 36907.2268 9.21794487 37247.8276 9.031561062831 3 1 1872 37929.0291 8.65880884 38345.9536 8.45123166 38604.0496 8.322743722831 3 1 1873 38723.1708 8.26344854 38802.5849 8.22392307 38862.1455 8.194282682831 3 1 1874 38921.7061 8.16464704 38966.3766 8.14242466 39011.0470 8.120207272831 3 1 1875 39070.6077 8.09059611 39100.3880 8.07579796 39145.0585 8.053614592831 3 1 1876 39166.5373 8.04295633 39186.3033 8.03315423 39206.0693 8.023359982831 3 1 1877 39232.4240 8.01031671 39245.6013 8.00380404 39258.7786 7.997299022831 3 1 1878 39279.2284 7.98722284 39297.7098 7.97814305 39306.9505 7.973615722831 3 1 1879 39323.1217 7.96571929 39336.9828 7.95898549 39344.4267 7.955386412831 3 1 1880 39352.1273 7.95167907 39362.3947 7.94676687 39372.6622 7.941899692831 3 1 1881 39382.4162 7.93733101 39390.6302 7.93353860 39398.8441 7.929812512831 3 1 1882 39402.9511 7.92798075 39410.1384 7.92483877 39416.0421 7.922333852831 3 1 1883 39421.6892 7.92002090 39427.3363 7.91781313 39430.1598 7.916758632831 3 1 1884 39430.6732 7.91657413 39432.9834 7.91849959 39435.8069 7.920899332831 3 1 1885 39440.4273 7.92494881 39442.7375 7.92704343 39446.7803 7.930853192831 3 1 1886 39450.2456 7.93430794 39451.9782 7.93612080 39453.7108 7.938005142831 3 1 1887 39456.3740 7.94107667 39458.8767 7.94421935 39460.1280 7.945913392831 3 1 1888 39460.4488 7.94637409 39461.3794 7.95396127 39463.4650 7.971251732831 3 1 1889 39465.1335 7.98541588 39466.8019 7.99996717 39467.6361 8.007422702831 3 1 1890 39469.2405 8.02217802 39470.5239 8.03445850 39471.8073 8.047262112831 3 1 1891 39473.0907 8.06069870 39473.7965 8.06850747 39474.3742 8.086709752831 3 1 1892 39475.6576 8.12806133 39476.2993 8.14913357 39476.9410 8.170501842831 3 1 1893 39478.1602 8.21200975 39479.1870 8.24801067 39480.2137 8.285096002831 3 1 1894 39481.2405 8.35658229 39481.7539 8.39283019 39482.5239 8.447879372831 3 1 1895 39483.2940 8.50381636 39484.0640 8.56069523 39484.8341 8.618600882831 3 1 1896 39485.3475 8.65793173 39485.6042 8.68824414 39486.9389 8.848645782831 3 1 1897 39488.1710 9.00013307 39488.9924 9.10308776 39489.1977 9.129235092831 3 1 1898 39489.8138 9.23725602 39490.6352 9.38300223 39491.4566 9.530540372831 3 1 1899 39493.0095 9.81454126 39493.0993 9.83128277 39493.9721 10.04190172831 3 1 1900 39494.9347 10.2768332 39496.8598 10.7545156 39497.0009 10.79026732831 3 1 1901 39498.8491 11.3605264 39500.3892 11.8421831 39501.5186 12.19877272831 3 1 1902 39501.9293 12.3403821 39507.7818 14.3746356 39509.6299 15.01113162831 3 1 1903 39510.5540 15.3252156 39511.2214 15.5189232 39512.6075 15.91011492831 3 1 1904 39513.8395 16.2040737 39514.6096 16.3787883 39515.9957 16.61995032831 3 1 1905 39516.6118 16.7207389 39517.4332 16.8068636 39518.5215 16.91195382831 3 1 1906 39518.6447 16.9169054 39519.9939 16.9599282 39520.1232 16.96252252831 3 1 1907 39521.6428 16.9153215 39522.2588 16.8512296 39523.6963 16.68470582831 3 1 1908 39524.7230 16.5577124 39524.8771 16.5272770 39526.7765 16.13308492831 3 1 1909 39527.4440 15.9484196 39528.8300 15.5525212 39530.5241 15.05943002831 3 1 1910 39531.0888 14.8924383 39532.5263 14.3957172 39537.7627 12.57144432831 3 1 1911 39539.3028 12.0386677 39540.8430 11.5512844 39541.9724 11.19728302831 3 1 1912 39543.2045 10.8636262 39545.0526 10.3708890 39545.6687 10.20966512831 3 1 1913 39546.6954 9.98204583 39547.7222 9.75918187 39548.3382 9.651166292831 3 1 1914 39549.1596 9.50993244 39549.9810 9.37050221 39550.8024 9.232815922831 3 1 1915 39551.6238 9.09680553 39551.8291 9.06330732 39552.8558 8.935518882831 3 1 1916 39553.6259 8.84137709 39554.1393 8.77943684 39554.3960 8.754685052831 3 1 1917 39555.1660 8.68159955 39555.9361 8.60959359 39556.7062 8.538605722831 3 1 1918 39557.4762 8.49061397 39558.7597 8.41253902 39559.7864 8.351640202831 3 1 1919 39560.8132 8.29195898 39561.8399 8.23346354 39562.0325 8.226751642831 3 1 1920 39562.6742 8.20493299 39563.3159 8.18345213 39564.5994 8.141395352831 3 1 1921 39565.6902 8.10654647 39565.8828 8.10362120 39567.1663 8.085008572831 3 1 1922 39568.4497 8.06713228 39569.7331 8.04986552 39571.0165 8.033102252831 3 1 1923 39572.4925 8.01433113 39574.0326 7.99521006 39575.5727 7.976465042831 3 1 1924 39576.7278 7.96260438 39577.8829 7.94888341 39578.0111 7.947373612831 3 1 1925 39579.0379 7.94449191 39581.3481 7.93829039 39583.6582 7.932377002831 3 1 1926 39585.1984 7.92855580 39588.2786 7.92113400 39589.8187 7.917510612831 3 1 1927 39591.8722 7.91275157 39593.9257 7.90806200 39598.0327 7.898849342831 3 1 1928 39600.0861 7.89431099 39602.6530 7.88868963 39605.2199 7.883117862831 3 1 1929 39610.3536 7.87209643 39615.4873 7.86120398 39621.5836 7.848396432831 3 1 1930 39624.4713 7.84236833 39627.8083 7.83542994 39628.3216 7.835077372831 3 1 1931 39632.1719 7.83246418 39636.0222 7.82987789 39643.7228 7.824771852831 3 1 1932 39651.4234 7.81973639 39656.5572 7.81641043 39661.6909 7.813105022831 3 1 1933 39666.8246 7.80981713 39677.0921 7.80328452 39687.3595 7.796797702831 3 1 1934 39694.4826 7.79231854 39700.4505 7.78857678 39708.4078 7.783600882831 3 1 1935 39716.3651 7.77863773 39732.2796 7.76874213 39748.1942 7.758878192831 3 1 1936 39768.2878 7.74645713 39780.4241 7.73896830 39804.6968 7.724013052831 3 1 1937 39828.9695 7.70908041 39847.1740 7.69789160 39867.7520 7.685252412831 3 1 1938 39889.5168 7.67189205 39911.2815 7.65853811 39954.8111 7.631843972831 3 1 1939 40008.0139 7.59923491 40046.7068 7.57552738 40088.6241 7.549849662831 3 1 1940 40185.3564 7.49060768 40304.6595 7.41755861 40459.4312 7.322806762831 3 1 1941 40665.7934 7.19648430 40872.1557 7.07017121 41026.9274 6.951198012831 3 1 1942 41181.6990 6.83223070 41284.8801 6.73651602 41388.0612 6.640805732831 3 1 1943 41471.2607 6.56363336 41522.8513 6.50113045 41617.6781 6.386250482831 3 1 1944 41775.7229 6.19479525 41807.3318 6.15650799 41902.1587 6.009017092831 3 1 1945 41933.7676 5.95985778 41996.9855 5.84327420 42044.3990 5.755842462831 3 1 1946 42060.2034 5.72670041 42091.8124 5.65761522 42155.0303 5.519456762831 3 1 1947 42170.8348 5.47610569 42234.0527 5.30271974 42291.3439 5.145608782831 3 1 1948 42313.0750 5.08602203 42319.0018 5.06460067 42367.4030 4.889683312831 3 1 1949 42408.8897 4.73978217 42423.7064 4.68625835 42443.4619 4.599564452831 3 1 1950 42471.1197 4.47822020 42478.3153 4.44665916 42494.7488 4.365120572831 3 1 1951 42506.5634 4.30651323 42519.2720 4.24348960 42527.2389 4.198941612831 3 1 1952 42544.9607 4.09989018 42553.8216 4.05038526 42562.6825 4.000898982831 3 1 1953 42565.6361 3.98441312 42574.1287 3.92956964 42585.4520 3.856502392831 3 1 1954 42591.1137 3.81999748 42599.6062 3.76529072 42603.8525 3.737966402831 3 1 1955 42610.9295 3.69248621 42617.2203 3.65214363 42622.7247 3.616940412831 3 1 1956 42625.0837 3.60189193 42627.4428 3.58687363 42631.3745 3.561936982831 3 1 1957 42634.5199 3.54211077 42636.0925 3.53225892 42637.6259 3.522705632831 3 1 1958 42639.6704 3.51007525 42640.6927 3.50381861 42641.7149 3.497611612831 3 1 1959 42642.0688 3.49549161 42643.5039 3.49094046 42645.0373 3.486266622831 3 1 1960 42646.5706 3.48182086 42647.3373 3.47970283 42648.1040 3.477667152831 3 1 1961 42648.8707 3.47572446 42649.6374 3.47388656 42650.4040 3.472166762831 3 1 1962 42650.5613 3.47184103 42651.1708 3.47544026 42652.4485 3.483323342831 3 1 1963 42653.6871 3.49143747 42654.7487 3.49882862 42655.8102 3.506687012831 3 1 1964 42656.8521 3.51492677 42656.8718 3.51534756 42657.9333 3.538632612831 3 1 1965 42658.9949 3.56261273 42660.0564 3.58737090 42660.5872 3.600072652831 3 1 1966 42661.2556 3.61640750 42661.2949 3.61805030 42662.0026 3.648072212831 3 1 1967 42662.7103 3.67856291 42663.4180 3.70955281 42664.7155 3.767768142831 3 1 1968 42665.0300 3.78224239 42665.4232 3.80664317 42666.1309 3.851176462831 3 1 1969 42666.8386 3.89635433 42666.9173 3.90149194 42668.2540 4.005644092831 3 1 1970 42668.8045 4.04966056 42669.6694 4.13608170 42671.0848 4.280556722831 3 1 1971 42672.0285 4.37863258 42672.2644 4.40352598 42673.0901 4.507306912831 3 1 1972 42673.9157 4.61247106 42674.1516 4.64600733 42675.2132 4.798693882831 3 1 1973 42676.0388 4.91876502 42676.2747 4.95688978 42678.3979 5.305065282831 3 1 1974 42678.6338 5.34808433 42680.2851 5.65309163 42686.2927 6.773922432831 3 1 1975 42688.2429 7.13471991 42689.1865 7.30566256 42691.2624 7.610240052831 3 1 1976 42692.7093 7.81324643 42693.7787 7.92568539 42694.5965 8.005556922831 3 1 1977 42696.2321 8.11802378 42696.3579 8.12589552 42697.4273 8.155422092831 3 1 1978 42698.6226 8.18249552 42699.0025 8.17741577 42700.3462 8.152241442831 3 1 1979 42700.3840 8.15038119 42701.5792 8.08603453 42702.0196 8.059713752831 3 1 1980 42703.8439 7.87540885 42705.2908 7.71884291 42706.2344 7.574029832831 3 1 1981 42708.5619 7.20184430 42709.0653 7.10739182 42711.0782 6.719356082831 3 1 1982 42712.9026 6.34155990 42717.0074 5.48487879 42717.1803 5.449034912831 3 1 1983 42718.6587 5.15498303 42719.7595 4.93847578 42721.1750 4.680183182831 3 1 1984 42722.1186 4.51096458 42723.2981 4.32296758 42724.3597 4.156331972831 3 1 1985 42725.2640 4.01590523 42725.4212 3.99547177 42726.3649 3.874314792831 3 1 1986 42727.3085 3.75458384 42728.6060 3.59233022 42728.7239 3.580398642831 3 1 1987 42730.1393 3.44016412 42731.5547 3.30276229 42731.6727 3.291473742831 3 1 1988 42732.2624 3.24715637 42733.5599 3.15125642 42734.7394 3.065755782831 3 1 1989 42735.0146 3.04614563 42735.9190 2.99511555 42737.0985 2.929874302831 3 1 1990 42737.3736 2.91493146 42738.2780 2.87451031 42739.4575 2.822835132831 3 1 1991 42739.7327 2.81099219 42740.6371 2.77884712 42741.8166 2.737724912831 3 1 1992 42742.0917 2.72829572 42742.9961 2.70307402 42744.1756 2.670778232831 3 1 1993 42745.2371 2.64217360 42745.3551 2.63964134 42746.4363 2.616822572831 3 1 1994 42747.6159 2.59228241 42748.7954 2.56805758 42749.3260 2.557290712831 3 1 1995 42750.2697 2.54170013 42751.1544 2.52724545 42752.0390 2.512894082831 3 1 1996 42752.9236 2.49863089 42754.3586 2.47567046 42754.6929 2.471180702831 3 1 1997 42755.5775 2.45939022 42756.7571 2.44374318 42757.9366 2.428169492831 3 1 1998 42760.2956 2.39718936 42763.2443 2.35868757 42766.3111 2.318814892831 3 1 1999 42768.1983 2.29433794 42771.0291 2.25768341 42773.8600 2.221083062831 3 1 2000 42779.5216 2.14800349 42783.2961 2.09934730 42790.8450 2.002147652831 3 1 2001 42793.3613 1.96978898 42800.5335 1.87341264 42810.7268 1.736580282831 3 1 2002 42811.7527 1.72281851 42817.5224 1.64170830 42824.3179 1.546222872831 3 1 2003 42829.2931 1.47634661 42831.1135 1.44974485 42837.9090 1.350484132831 3 1 2004 42844.7045 1.25126760 42847.3888 1.21210306 42857.1925 1.065647862831 3 1 2005 42868.5775 .895738503 42874.2700 .810858091 42879.9625 .7260380312831 3 1 2006 42880.5950 .716621582 42885.6550 .644406517 42894.1938 .5227152262831 3 1 2007 42895.1425 .509217209 42898.4632 .464808651 42900.6769 .4352511422831 3 1 2008 42902.7325 .409070607 42904.6300 .384969006 42908.4250 .3391822602831 3 1 2009 42911.2713 .306963684 42911.5875 .303396180 42913.4060 .2845702082831 3 1 2010 42915.6988 .260976588 42916.9638 .249173929 42917.5963 .2433403342831 3 1 2011 42919.4938 .227271072 42919.8100 .224962406 42922.3006 .2071302962831 3 1 2012 42922.3400 .206855401 42924.4352 .195692406 42924.7119 .1942654482831 3 1 2013 42925.5025 .191314003 42925.8979 .189894239 42926.5699 .1882476232831 3 1 2014 42927.0838 .187108365 42928.3488 .186276651 42928.6650 .1861720822831 3 1 2015 42929.3569 .186961705 42929.7719 .188128901 42930.8788 .1916459072831 3 1 2016 42931.1950 .193285376 42931.7090 .196123815 42931.9857 .1982584312831 3 1 2017 42932.7763 .204576396 42933.0925 .207200683 42933.5669 .2124709112831 3 1 2018 42934.1994 .219713828 42934.3575 .221977361 42935.1482 .2335972252831 3 1 2019 42935.3063 .236013695 42936.4132 .256521713 42936.5318 .2591525442831 3 1 2020 42937.5200 .281878835 42937.7770 .288802751 42938.5479 .3101192742831 3 1 2021 42939.3188 .335150032 42939.5757 .343658173 42940.0896 .3630677932831 3 1 2022 42940.6035 .382837018 42940.8605 .394034703 42941.6313 .4281985232831 3 1 2023 42942.1848 .455497726 42942.3429 .463877696 42942.9260 .4952440622831 3 1 2024 42943.0544 .502876565 42943.7660 .545769481 42944.0527 .5633026642831 3 1 2025 42944.4775 .592661526 42945.2682 .648079725 42945.3670 .6551108012831 3 1 2026 42946.0588 .709376743 42946.1379 .715670600 42946.8494 .7763780032831 3 1 2027 42946.9285 .783219810 42947.6400 .849074934 42947.7191 .8565417102831 3 1 2028 42948.5097 .936136128 42949.2213 1.01238235 42949.3004 1.021059662831 3 1 2029 42950.8025 1.20088398 42950.8816 1.21056072 42952.3838 1.414882072831 3 1 2030 42952.4629 1.42582192 42953.5697 1.59412479 42954.0441 1.667530212831 3 1 2031 42955.2300 1.86500908 42955.7440 1.95556378 42956.4160 2.075718932831 3 1 2032 42957.1671 2.21678855 42957.6019 2.29922491 42958.5902 2.495866502831 3 1 2033 42959.1832 2.61525911 42961.1597 3.03241630 42965.3500 3.947911712831 3 1 2034 42966.8680 4.27694779 42967.5005 4.40526931 42969.3980 4.784250692831 3 1 2035 42970.0305 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