28-Ni- 60 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.80600E+4 5.94160E+1 2 0 0 42831 1451 1 0.0 0.0 0 0 0 62831 1451 2 1.00000E+0 1.50000E+8 8 0 10 62831 1451 3 6.00000E+2 0.0 1 0 490 932831 1451 4 28-Ni- 60 LANL,ORNL EVAL-SEP97 S.CHIBA,M.B.CHADWICK,LARSON 2831 1451 5 Ch97,Ch99 DIST-SEP 1 REV3- 20010926 2831 1451 6 ----ENDF/B-VI MATERIAL 2831 REVISION 2 2831 1451 7 -----INCIDENT NEUTRON DATA 2831 1451 8 ------ENDF-6 FORMAT 2831 1451 9 2831 1451 10 ******************************************************************2831 1451 11 2831 1451 12 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2831 1451 13 P.G. Young (LANL) 2831 1451 14 2831 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2831 1451 16 MT 102) has been updated for new experimental data at incident 2831 1451 17 neutron energies up to 1 keV. 2831 1451 18 The Q-value for radiative capture was also updated in File 3. 2831 1451 19 Details of these changes are described in Frankel et al. [Fr01]. 2831 1451 20 2831 1451 21 **************************************************************** 2831 1451 22 2831 1451 23 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2831 1451 24 M.B. Chadwick, P.G. Young (LANL), and 2831 1451 25 A.J. Koning (ECN) 2831 1451 26 2831 1451 27 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2831 1451 28 in cooperation with ECN Petten. 2831 1451 29 2831 1451 30 This evaluation provides a complete representation of the 2831 1451 31 nuclear data needed for transport, damage, heating, 2831 1451 32 radioactivity, and shielding applications over the incident 2831 1451 33 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2831 1451 34 here is divided into the region below and above 20 MeV. 2831 1451 35 2831 1451 36 INCIDENT NEUTRON ENERGIES < 20 MeV 2831 1451 37 2831 1451 38 Below 20 MeV the evaluation is based completely on the ENDF/B- 2831 1451 39 VI.5(Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, and 2831 1451 40 Fu. 2831 1451 41 2831 1451 42 INCIDENT NEUTRON ENERGIES > 20 MeV 2831 1451 43 2831 1451 44 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2831 1451 45 includes cross sections and energy-angle data for all 2831 1451 46 significant reactions. The present evaluation utilizes a more 2831 1451 47 compact composite reaction spectrum representation above 20 MeV 2831 1451 48 in order to reduce the length of the file. No essential data for 2831 1451 49 applications is lost with this representation. 2831 1451 50 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2831 1451 51 all reaction data. Production cross sections and emission 2831 1451 52 spectra are given for neutrons, protons, deuterons, tritons, 2831 1451 53 alpha particles, gamma rays, and all residual nuclides produced 2831 1451 54 (A>5) in the reaction chains. To summarize, the ENDF sections 2831 1451 55 with non-zero data above En = 20 MeV are: 2831 1451 56 2831 1451 57 MF=3 MT= 1 Total Cross Section 2831 1451 58 MT= 2 Elastic Scattering Cross Section 2831 1451 59 MT= 3 Nonelastic Cross Section 2831 1451 60 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2831 1451 61 2831 1451 62 MF=4 MT= 2 Elastic Angular Distributions 2831 1451 63 2831 1451 64 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2831 1451 65 Distributions for Emission Neutrons, Protons, 2831 1451 66 Deuterons, Tritons, and Alphas; and Angle- 2831 1451 67 Integrated Spectra for Gamma Rays and Residual 2831 1451 68 Nuclei That Are Stable Against Particle Emission 2831 1451 69 2831 1451 70 The evaluation is based on nuclear model calculations that 2831 1451 71 have been benchmarked to experimental data, especially for n + 2831 1451 72 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2831 1451 73 [Yo92], which utilizes Hauser-Feshbach statistical, 2831 1451 74 preequilibrium and direct-reaction theories. Spherical optical 2831 1451 75 model calculations are used to obtain particle transmission 2831 1451 76 coefficients for the Hauser-Feshbach calculations, as well as 2831 1451 77 for the elastic neutron angular distributions. 2831 1451 78 Cross sections and spectra for producing individual residual 2831 1451 79 nuclei are included for reactions. The energy-angle-correlations 2831 1451 80 for all outgoing particles are based on Kalbach systematics 2831 1451 81 [Ka88]. 2831 1451 82 A model was developed to calculate the energy distributions of 2831 1451 83 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2831 1451 84 energy distributions are represented in the laboratory system in 2831 1451 85 MT=5, MF=6, and are given as isotropic in the lab system. All 2831 1451 86 other data in MT=5,MF=6 are given in the center-of-mass system. 2831 1451 87 This method of representation utilizes the LCT=3 option approved 2831 1451 88 at the November, 1996, CSEWG meeting. 2831 1451 89 Preequilibrium corrections were performed in the course of the 2831 1451 90 GNASH calculations using the exciton model of Kalbach [Ka77, 2831 1451 91 Ka85], validated by comparison with calculations using Feshbach, 2831 1451 92 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2831 1451 93 nuclear data sheets were matched to continuum level densities 2831 1451 94 using the formulation of Gilbert and Cameron [Gi65] and pairing 2831 1451 95 and shell parameters from the Cook [Co67] analysis. Neutron and 2831 1451 96 charged- particle transmission coefficients were obtained from 2831 1451 97 the optical potentials, as discussed below. Gamma-ray 2831 1451 98 transmission coefficients were calculated using the Kopecky-Uhl 2831 1451 99 model [Ko90]. 2831 1451 100 2831 1451 101 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2831 1451 102 2831 1451 103 The neutron total cross section was evaluated based on the 2831 1451 104 least-squares method taking account of the experimental 2831 1451 105 data [Du67, Bo71, St71, Sm79, Fe80, Pe82, Ha82a, Di97]. The data 2831 1451 106 for natural Ni [Di97] was also used because there was not enough 2831 1451 107 data for Ni-60 above 20 MeV. The data for natural Ni were 2831 1451 108 transformed to the Ni-60 cross section according to A*(2/3) law. 2831 1451 109 Result of this estimation was used as the evaluated total cross 2831 1451 110 section data above 20 MeV. 2831 1451 111 2831 1451 112 The evaluated total cross section data (1 to 250 MeV), s-wave 2831 1451 113 strength function [Mu81] and elastic scattering angular 2831 1451 114 distribution data [Bo71, Gu85, Tu73, Ya79] were used to obtain the2831 1451 115 neutron optical potential parameters. The parameter estimation was2831 1451 116 carried out based on Marquart-Bayesian approach [Sm91], where 2831 1451 117 ECIS95 code [Ra96] was used for the optical model calculation. We2831 1451 118 have employed the energy dependence of the optical potential 2831 1451 119 similar to Delaroche's work [De89]. The initial potential 2831 1451 120 parameters were adopted from Koning and Delaroche [Ko97]. A total2831 1451 121 of 7 parameters concerning the central potential depth were 2831 1451 122 estimated with associated covariance matrix, while the geometrical2831 1451 123 parameters were fixed to the result of a similar search for n + 2831 1451 124 Ni-58. Presently obtained potential was used for the calculation 2831 1451 125 of neutron transmission coefficients and DWBA cross sections in 2831 1451 126 the energy region above 20 MeV. Below 20 MeV, the Harper neutron 2831 1451 127 potential [Ha82b] was used for the calculation of transmission 2831 1451 128 coefficients. 2831 1451 129 2831 1451 130 The proton optical potential was also searched to obtain a good 2831 1451 131 description of proton-total reaction cross section as predicted by2831 1451 132 Wellisch-Axen systematic [We96] above 50 MeV. The parameter 2831 1451 133 estimation was carried out by the Marquart-Bayesian approach 2831 1451 134 similar to the neutron OMP, but trying to seek the best parameter 2831 1451 135 to reproduce the reaction cross sections compiled by Carlson 2831 1451 136 [Ca96] and Wellisch values. The experimental data in Carlson 2831 1451 137 [Ca96] was scaled for Ni-60 according to A**(2/3) law. In this 2831 1451 138 search, the geometrical parameters were fixed to be same as the 2831 1451 139 neutron potential. The present potential gives a good description2831 1451 140 of the proton total reaction cross section from 10 MeV to 250 MeV.2831 1451 141 However, after some trial and error to reproduce both the elastic 2831 1451 142 scattering and reaction cross section data for Ni-58, we have 2831 1451 143 employed the following combination of proton potentials: 2831 1451 144 2831 1451 145 0 to 5 MeV : Harper potential [Ha82b] 2831 1451 146 6 to 47 MeV : Koning and Delaroche [Ko97] 2831 1451 147 48 to 260 MeV : Present OMP 2831 1451 148 2831 1451 149 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2831 1451 150 for alpha particles the McFadden-Satchler [Mc66] potential was 2831 1451 151 used; and for tritons the Becchetti-Greenlees [Be71] potential was2831 1451 152 used. The He-3 channel was ignored. 2831 1451 153 2831 1451 154 The direct collective inelastic scattering to the following level 2831 1451 155 in Ni-60 was considered by the DWBA-mode calculation of ECIS95 2831 1451 156 [Ra96]: 2831 1451 157 2831 1451 158 Jpi Ex(MeV) Deformation length 2831 1451 159 2+ 1.331 0.8535 2831 1451 160 2831 1451 161 The deformation length was determined to much the ENDF/B-VI value 2831 1451 162 at 20 MeV. 2831 1451 163 2831 1451 164 Certain nuclear level densities were modified from the default 2831 1451 165 values in accordance with experimental level-density information 2831 1451 166 as follows. The level density of 57Fe was matched to the observed 2831 1451 167 D-0 value by modifying the pairing energy to 0.15 MeV; the level 2831 1451 168 density of the main competition channel, neutron emission to 60Ni,2831 1451 169 was adjusted to match Fischer et al.'s [Fi86] value of 3.85e3+-25%2831 1451 170 at 11 MeV excitation energy, but then increased slightly (a total 2831 1451 171 density increase of 11%) by using a pairing energy of 1.1 MeV, 2831 1451 172 since Haight's alpha production at 14 MeV is approx. 11% smaller 2831 1451 173 than Fischer et al.'s measurements. Production of residual nuclei 2831 1451 174 59Ni and 56Fe, through (n,2n) and (n,na) reactions, become 2831 1451 175 particularly important above 14 MeV. Pairing energies were 2831 1451 176 adjusted to match the level density for 59Ni at the neutron 2831 1451 177 binding energy (D0=12.9 keV), and Fischer et al.'s result for the 2831 1451 178 56Fe level density at 11 MeV. 2831 1451 179 2831 1451 180 The new Haight et al. [Ha97] LANL/WNR 60Ni(n,x alpha) data up to 2831 1451 181 50 MeV was used to benchmark our model calculations [Ch97] - 2831 1451 182 agreement with experiment was good. 2831 1451 183 2831 1451 184 **************************************************************** 2831 1451 185 2831 1451 186 REFERENCES 2831 1451 187 2831 1451 188 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2831 1451 189 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2831 1451 190 Barschall and W. Haeberli, The University of Wisconsin Press, 2831 1451 191 1971) p.682 2831 1451 192 [Bo71] P. Boschung et al, Nucl.Phys. A161, 593 (1971) 2831 1451 193 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2831 1451 194 93 (1996) 2831 1451 195 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2831 1451 196 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2831 1451 197 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2831 1451 198 Driven Technologies: Calculational Method for Heavy Recoils," 2831 1451 199 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2831 1451 200 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2831 1451 201 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2831 1451 202 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2831 1451 203 September 1997, internal Los Alamos National Laboratory memo T-2831 1451 204 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2831 1451 205 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 2831 1451 206 National Laboratory report, LA-UR-99-1222 (1999) 2831 1451 207 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2831 1451 208 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2831 1451 209 Phys. 20, 477 (1967) 2831 1451 210 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2831 1451 211 391 (1989) 2831 1451 212 [Di97] F. Dietrich et al., private communication (1997). 2831 1451 213 [Du67] Yu.V. Dukarevich et al., Nucl.Phys. A92, 433 (1967) 2831 1451 214 [Fe80] M.B. Fedorov et al., 80Kiev, 1, 309(1980) 2831 1451 215 [Fi86] R. Fischer, G. Traxler, M. Uhl at al., Phys Rev C34, 460 2831 1451 216 (1986) 2831 1451 217 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2831 1451 218 National Laboratory Report, LA-13812 (2001). 2831 1451 219 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2831 1451 220 densities of three formalisms on calculated cross sections", 2831 1451 221 personal communication, 1996 (to be published by the IAEA). 2831 1451 222 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2831 1451 223 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2831 1451 224 [Ha82a] J.A. Harvey et al, 82Anterp (1982) p. 856 2831 1451 225 [Ha82b] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2831 1451 226 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2831 1451 227 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2831 1451 228 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2831 1451 229 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2831 1451 230 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2831 1451 231 LA-10248-MS (1985) 2831 1451 232 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2831 1451 233 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2831 1451 234 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2831 1451 235 [Ko97] A. Koning and J.P. Delaroche, private communication. 2831 1451 236 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2831 1451 237 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2831 1451 238 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2831 1451 239 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2831 1451 240 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2831 1451 241 [Pe73] F.G. Perey, private communication (1973) [EXFOR 10342] 2831 1451 242 [Pe82] C.M. Perey et al, report ORNL-5893 (1982) 2831 1451 243 [Pe88] Pedroni et al, Phys.Rev.C 38, 2052 (1988) 2831 1451 244 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2831 1451 245 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2831 1451 246 51363, p.249(1981). 2831 1451 247 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2831 1451 248 Theorique, Saclay, France (personal communication through A. J.2831 1451 249 Koning, 1996). 2831 1451 250 [Sc73] W. Schimmerling et al., Phys.Rev.C 7, 248 (1973) 2831 1451 251 [Sm79] A.B. Smith et al., Nucl.Sci.Eng., 72, 293 (1979) 2831 1451 252 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2831 1451 253 in Nuclear Science and Technology" (American Nuclear Society, 2831 1451 254 1991) 2831 1451 255 [Sm92] A.B. Smith et al., J.Phys.G, 18, 629 (1992) 2831 1451 256 [St71] P. Stoler et al,, 71Knox, 1, 311 (1971) 2831 1451 257 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2831 1451 258 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2831 1451 259 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda, et al., Nucl. 2831 1451 260 Phys. A427, 493 (1984) 2831 1451 261 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2831 1451 262 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2831 1451 263 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2831 1451 264 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2831 1451 265 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2831 1451 266 report LA-12343-MS (1992) 2831 1451 267 2831 1451 268 **************************************************************** 2831 1451 269 2831 1451 270 ENDF/B-VI MOD 2 Revision, July 1991, D.C. Larson, C.M. Perey, 2831 1451 271 D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 272 2831 1451 273 REVISION 1 CHANGES 2831 1451 274 The resonance region from 1.E-5 eV to 450 keV has been changed,2831 1451 275 based on a SAMMY analysis by F. G. Perey of new 60Ni ORELA data 2831 1451 276 up to 100 keV of Harvey, Hill and Perey. This new work reproduces2831 1451 277 the thermal cross sections and includes the small resonances 2831 1451 278 inadvertently left out in the original file. No background 2831 1451 279 cross sections are required in file 3 in the resonance region. 2831 1451 280 Removed elastic transformation matrix. 2831 1451 281 2831 1451 282 **************************************************************** 2831 1451 283 2831 1451 284 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2831 1451 285 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 286 2831 1451 287 This work employed nuclear model codes including the 2831 1451 288 Distorted Wave Born Approximation (DWBA) program DWUCK (1) 2831 1451 289 and the Hauser-Feshbach code TNG (2,3,4). The TNG code provides 2831 1451 290 energy and angular distributions of particles emitted in the 2831 1451 291 compound and pre-compound reactions, ensures consistency among 2831 1451 292 all reactions, and maintains energy balance. Details pertinent 2831 1451 293 to the contents of this evaluation and extensive comparisons of 2831 1451 294 calculations with experimental data can be found in Hetrick (5). 2831 1451 295 2831 1451 296 ----- DESCRIPTION OF FILES 2831 1451 297 (MF-MT) 2831 1451 298 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2831 1451 299 2-151 RESONANCE PARAMETERS -- TAKEN FROM REF (6). THE NEGATIVE 2831 1451 300 ENERGY RESONANCES WERE ADJUSTED BY THE AUTHOR, C. M. PEREY2831 1451 301 TO GIVE THE PROPER THERMAL SCATTERING AND CAPTURE. USING 2831 1451 302 THESE MODIFIED RESULTS, NO BACKGROUND IS REQUIRED IN 3/1 2831 1451 303 IE, THE TOTAL, SCATTERING AND CAPTURE IS GIVEN COMPLETELY 2831 1451 304 BY THE RESONANCE PARAMETERS FROM 1.E-5 EV TO 450 KEV. 2831 1451 305 RESONANCE PARAMETERS ARE FROM A REICH-MOORE ANALYSIS WITH 2831 1451 306 THE CODE SAMMY (REF 7). 2831 1451 307 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2831 1451 308 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 3.9 B, 2831 1451 309 ELASTIC SCATTERING 0.98 B, AND CAPTURE 2.92 B. 2831 1451 310 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2831 1451 311 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2831 1451 312 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2831 1451 313 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2831 1451 314 3-1 TOTAL CROSS SECTION -- FROM 450 KEV TO 1611 KEV THE DATA 2831 1451 315 OF REF (8) WERE USED. FROM 1611 KEV TO 20 MEV THE DATA 2831 1451 316 OF REF (9) WERE USED. SEVERAL LOWER RESOLUTION DATA SETS 2831 1451 317 WERE ENERGY-BINNED AND CHECKED WITH BINNED DATA FROM 8,9. 2831 1451 318 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2831 1451 319 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2831 1451 320 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2831 1451 321 3-28, 3-102, 3-103, 3-104, AND 3-107. 2831 1451 322 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2831 1451 323 .., 3-61, AND 3-91 2831 1451 324 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 325 CODE (2,3,4,5), NO 60NI DATA AVAILABLE. 2831 1451 326 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 327 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN A EMISS 2831 1451 328 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 329 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN P EMISS 2831 1451 330 3-51 TO 3-61 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2831 1451 331 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2831 1451 332 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. CALCULATIONS 2831 1451 333 COMPARED WITH EXTENSIVE EXPERIMENTAL DATA (5). 3-51 CROSS2831 1451 334 SECTIONS ABOVE 4.0 MEV ADJUSTED TO BETTER FIT RECENT 2831 1451 335 MEASURED DATA. 2831 1451 336 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2831 1451 337 CALCULATED). 2831 1451 338 3-102 (N,G) CAPTURE CROSS SECTION TAKEN FROM RESONANCE PARAMETER2831 1451 339 FROM 1.E-5 EV TO 450 KEV. TNG CALCULATIONS WERE 2831 1451 340 NORMALIZED TO THE AVERAGED CROSS SECTION OBTAINED FROM THE2831 1451 341 RESONANCE PARAMETERS FROM 100-450 KEV. THESE NORMALIZED 2831 1451 342 TNG RESULTS WERE USED FROM 450 KEV TO 20 MEV. 2831 1451 343 3-103 (N,P) CROSS SECTIONS FOR EN LESS THAN OR EQUAL TO 12 MEV 2831 1451 344 WERE TAKEN FROM A CURVE DRAWN THROUGH THE DATA OF VONACH 2831 1451 345 ET AL. (10). THIS CURVE WAS CONNECTED TO THE ANL DATA OF 2831 1451 346 GREENWOOD (11) FROM 14.5 TO 15.0 MEV. FROM 15.0 TO 20.0 2831 1451 347 MEV THE DATA OF PAULSEN AND LISKIEN (12) WERE USED 2831 1451 348 AS A GUIDE. THE NEW DATA BY VONACH ET AL. (10) 2831 1451 349 RESULT IN AN INTEGRAL VALUE CLOSE TO THE 2.39 VALUE OF 2831 1451 350 MANNHART (13). 2831 1451 351 3-104 (N,D) CROSS SECTION - ENDF/B-V (14) VALUES WERE NORMALIZED2831 1451 352 TO THE DATA OF GRIMES ET AL. (15). 2831 1451 353 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2831 1451 354 TNG CODE (2,3,4,5). LIMITED DATA OTHER THAN A EMISSION. 2831 1451 355 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2831 1451 356 ELASTIC SCATTERING ARE FROM ENDF/B-V. AGREE WELL WITH DATA2831 1451 357 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2831 1451 358 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2831 1451 359 PARAMETERS IN 2/151. 2831 1451 360 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 361 NEUTRON AND 59NI RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 362 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 363 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2831 1451 364 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 365 THE OUTGOING NEUTRON). COMPARES WELL WITH N EMISSION DATA2831 1451 366 WHEN COMBINED WITH N FROM 6/22, 6/28 AND 6/91. 2831 1451 367 6-22 (N,NA)+(N,AN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 368 NEUTRON, ALPHA, AND 56FE RESIDUAL, AND ENERGY DEPENDENT 2831 1451 369 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2831 1451 370 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 371 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2831 1451 372 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2831 1451 373 ALPHA AND RESIDUAL). 2831 1451 374 6-28 (N,NP)+(N,PN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 375 NEUTRON, P, AND 59CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 376 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 377 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2831 1451 378 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 379 THE OUTGOING NEUTRON). 2831 1451 380 6-51 THROUGH 6-61 INELASTIC SCATTERING EXCITING LEVELS; EACH 2831 1451 381 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2831 1451 382 AND 60NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2831 1451 383 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2831 1451 384 BY DWUCK (1) AND TNG (2,3,4,5)), COMPARED WITH DATA IN (5)2831 1451 385 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2831 1451 386 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 60NI 2831 1451 387 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2831 1451 388 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2831 1451 389 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 390 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2831 1451 391 OUTGOING NEUTRON). 2831 1451 392 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2831 1451 393 AND 60CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 394 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 395 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 396 PRODUCT. COMPARES WELL WITH P EMISSION DATA WHEN COMBINED2831 1451 397 WITH 6/28. 2831 1451 398 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2831 1451 399 AND 57FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 400 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 401 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 402 PRODUCT. COMPARES WELL WITH A EMISSION DATA WHEN COMBINED2831 1451 403 WITH 6/22. 2831 1451 404 12-51 THROUGH 12-61 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2831 1451 405 BY HETRICK ET AL. (5), ARE GIVEN. 2831 1451 406 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2831 1451 407 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2831 1451 408 ASSUMED TO BE ISOTROPIC. 2831 1451 409 15-102 (N,G) CAPTURE; TNG CALCULATED 2831 1451 410 2831 1451 411 -------------------------------------------------------------- 2831 1451 412 UNCERTAINTY FILES 2831 1451 413 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2831 1451 414 REQUIRED BY ENDF/B-VI. 2831 1451 415 2831 1451 416 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 100 EV. FROM 100 2831 1451 417 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2831 1451 418 33-2 FROM 1.E-5 TO 100 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2831 1451 419 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 100 EV TO 2831 1451 420 20 MEV THE FILES ARE DERIVED. 2831 1451 421 33-3 FROM 1.E-5 TO 450 KEV UNCERTAINTIES ARE DERIVED. FROM 4502831 1451 422 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82831 1451 423 33-4 UNCERTAINTIES ARE ALL DERIVED. 2831 1451 424 33-16 COVARIANCES WERE ESTIMATED AS NO DATA AVAILABLE. 2831 1451 425 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2831 1451 426 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM DATA2831 1451 427 AND CALCULATION. 2831 1451 428 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2831 1451 429 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2831 1451 430 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2831 1451 431 ENERGIES, AND CALCULATED RESULTS ABOVE 450 KEV. 2831 1451 432 33-103 COVARIANCES - DATA OF VONACH ET AL. (10) AND CSISRS DATA 2831 1451 433 USED AS A GUIDE. 2831 1451 434 33-104 UNCERTAINTIES ESTIMATED, BASED ON DATA 2831 1451 435 33-107 UNCERTAINTIES EXPLICIT, BASED ON DATA AND TNG RESULTS. 2831 1451 436 ---------------------------------------------------------------- 2831 1451 437 REFERENCES: 2831 1451 438 (1) P.D. Kunz, "DISTORTED WAVE CODE DWUCK72," UNIV. OF 2831 1451 439 COLORADO, UNPUBLISHED (1972). 2831 1451 440 (2) C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) 2831 1451 441 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2831 1451 442 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2831 1451 443 p. 675 2831 1451 444 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2831 1451 445 ORNL/TM-10093 (1986) 2831 1451 446 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2831 1451 447 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2831 1451 448 (6) C.M. Perey, J.A. Harvey, R.L. Macklin, et al., Phys.Rev.C, 2831 1451 449 27, 2556 (1983) 2831 1451 450 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2831 1451 451 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2831 1451 452 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2831 1451 453 (8) J.A. Harvey, ORELA, 80-M NE110 TA TARGET DATA, SENT TO NNDC 2831 1451 454 (9) J.A. Harvey, ORELA, 80-M NE110 BE BLOCK DATA, SENT TO NNDC 2831 1451 455 (10) H. Vonach, M. Wagner, and R.C. Haight, "Neutron cross 2831 1451 456 sections of 58Ni and 60Ni for 8-12 MeV neutrons," private 2831 1451 457 communication, 1989 2831 1451 458 (11) L.R. Greenwood, report DOE-ER-0046-21 (1985) p. 15 2831 1451 459 (12) A. Paulsen, Nukleonik 10, 91 (1967) 2831 1451 460 (13) W. Mannhart, Proc. Fourth ASTM-Euratom Symp. on Reactor 2831 1451 461 Dosimetry, Vol. II, March 22-26, 1982 (1982) p. 637 2831 1451 462 (14) M. Divadeenam, Brookhaven National Laboratory report 2831 1451 463 BNL-NCS-51346 [ENDF-294] (1979) 2831 1451 464 (15) S.M. Grimes, R.C. Haight, K.R. Alvar, et al., Phys.Rev.C 2831 1451 465 19, 2127 (1979) 2831 1451 466 2831 1451 467 ************************ C O N T E N T S *********************** 2831 1451 468 ***************** Program LINEAR (VERSION 2004-1) ***************2831 1451 469 For All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 470 Data Linearized to Within an Accuracy of .100000000 per-cent 2831 1451 471 ***************** Program RECENT (VERSION 2004-1) ***************2831 1451 472 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 473 Data Linearized to within an Accuracy of .100000000 per-cent 2831 1451 474 ***************** Program SIGMA1 (VERSION 2004-1) ***************2831 1451 475 Data Doppler Broadened to 600.000000 Kelvin 2831 1451 476 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 477 Data Linearized to Within an Accuracy pf .100000000 per-cent 2831 1451 478 ***************** Program FIXUP (Version 2004-1) ****************2831 1451 479 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 480 Corrected Thresholds-----------------------------------------No 2831 1451 481 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 482 Allow Cross Section Deletion---------------------------------No 2831 1451 483 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 484 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 485 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 486 Deleted Duplicate Points-------------------------------------Yes 2831 1451 487 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 488 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 489 Allow Creation of Missing Sections---------------------------No 2831 1451 490 Allow Insertion of Energy Points-----------------------------No 2831 1451 491 Create Uniform Energy Grid-----------------------------------No 2831 1451 492 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 493 **************** Program DICTIN (VERSION 2004-1) ****************2831 1451 494 1 451 587 42831 1451 495 2 151 279 22831 1451 496 3 1 19413 32831 1451 497 3 2 5432 32831 1451 498 3 3 14311 32831 1451 499 3 4 17 12831 1451 500 3 5 9 32831 1451 501 3 16 6 12831 1451 502 3 22 7 12831 1451 503 3 28 7 12831 1451 504 3 51 14 12831 1451 505 3 52 13 12831 1451 506 3 53 12 12831 1451 507 3 54 12 12831 1451 508 3 55 12 12831 1451 509 3 56 11 12831 1451 510 3 57 11 12831 1451 511 3 58 11 12831 1451 512 3 59 11 12831 1451 513 3 60 11 12831 1451 514 3 61 11 12831 1451 515 3 91 11 12831 1451 516 3 102 14253 42831 1451 517 3 103 12 12831 1451 518 3 104 12 12831 1451 519 3 107 118 12831 1451 520 4 2 3747 32831 1451 521 6 5 13370 32831 1451 522 6 16 316 12831 1451 523 6 22 421 12831 1451 524 6 28 413 12831 1451 525 6 51 47 12831 1451 526 6 52 44 12831 1451 527 6 53 7 12831 1451 528 6 54 41 12831 1451 529 6 55 7 12831 1451 530 6 56 41 12831 1451 531 6 57 7 12831 1451 532 6 58 7 12831 1451 533 6 59 7 12831 1451 534 6 60 7 12831 1451 535 6 61 7 12831 1451 536 6 91 1295 12831 1451 537 6 103 819 12831 1451 538 6 107 847 12831 1451 539 12 51 3 12831 1451 540 12 52 3 12831 1451 541 12 53 3 12831 1451 542 12 54 3 12831 1451 543 12 55 3 12831 1451 544 12 56 3 12831 1451 545 12 57 3 12831 1451 546 12 58 3 12831 1451 547 12 59 3 12831 1451 548 12 60 4 12831 1451 549 12 61 3 12831 1451 550 12 102 581 42831 1451 551 14 51 1 12831 1451 552 14 52 1 12831 1451 553 14 53 1 12831 1451 554 14 54 1 12831 1451 555 14 55 1 12831 1451 556 14 56 1 12831 1451 557 14 57 1 12831 1451 558 14 58 1 12831 1451 559 14 59 1 12831 1451 560 14 60 1 12831 1451 561 14 61 1 12831 1451 562 14 102 1 42831 1451 563 15 102 238 12831 1451 564 33 1 26 12831 1451 565 33 2 14 12831 1451 566 33 3 16 12831 1451 567 33 4 9 12831 1451 568 33 16 10 12831 1451 569 33 22 14 12831 1451 570 33 28 14 12831 1451 571 33 51 14 12831 1451 572 33 52 14 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.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 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28500.1090 45.5912743 28500.6052 45.66366812831 3 1 1760 28501.1014 45.7379364 28501.5976 45.8140536 28501.6528 45.82272162831 3 1 1761 28502.0938 45.9015290 28502.5900 45.9919360 28503.0863 46.08401632831 3 1 1762 28503.5825 46.1776405 28504.0787 46.2727266 28504.5749 46.36916892831 3 1 1763 28505.0711 46.4668590 28505.5673 46.5656882 28506.0635 46.66554962831 3 1 1764 28506.5597 46.7663395 28507.0559 46.8679588 28507.5521 46.97031422831 3 1 1765 28508.0483 47.0733184 28508.4894 47.1653642 28509.1511 47.30417312831 3 1 1766 28509.8126 47.4436777 28510.4743 47.5838268 28511.1359 47.72444182831 3 1 1767 28512.0180 47.9125144 28512.9002 48.1011200 28514.2234 48.38466892831 3 1 1768 28515.9601 48.7575673 28518.5239 49.3088154 28518.6341 49.33252462831 3 1 1769 28520.2331 49.6963064 28525.3606 50.8632463 28535.6156 53.19772572831 3 1 1770 28555.6844 57.7667731 28583.9132 64.3013837 28598.0276 67.56840232831 3 1 1771 28605.0848 69.1307036 28626.2564 73.8171122 28644.7816 77.62033102831 3 1 1772 28647.4280 78.1635666 28663.3067 81.1138525 28668.5996 82.09715962831 3 1 1773 28675.6568 83.2328320 28691.1827 85.7309488 28695.0641 86.24156502831 3 1 1774 28713.7657 88.7012626 28718.0000 89.1194958 28737.0545 91.00094422831 3 1 1775 28740.9359 91.2734125 28753.2860 92.1400464 28760.3432 92.44692162831 3 1 1776 28774.4576 93.0603675 28781.5148 93.1642712 28795.6292 93.37182082831 3 1 1777 28802.6864 93.2901787 28816.8008 93.1266761 28830.9152 92.63596332831 3 1 1778 28837.9724 92.3905198 28852.0868 91.6626703 28883.8442 89.45937672831 3 1 1779 28915.6016 86.6640931 28929.7160 85.2411705 28957.9448 82.39556122831 3 1 1780 28986.1736 79.3784355 29014.4024 76.3615998 29042.6312 73.34506812831 3 1 1781 29058.5100 71.6484166 29066.4494 70.8545571 29090.2674 68.47321132831 3 1 1782 29114.9676 66.0038913 29119.3784 65.6023117 29145.8429 63.19310612831 3 1 1783 29167.8966 61.1856191 29172.3074 60.8199798 29198.7719 58.62636782831 3 1 1784 29207.5934 57.8952245 29225.2364 56.5535105 29247.2901 54.87651032831 3 1 1785 29251.7009 54.5696691 29278.1654 52.7287944 29286.9869 52.11521582831 3 1 1786 29304.6299 50.9939612 29326.6836 49.5925031 29331.0944 49.34018742831 3 1 1787 29357.5589 47.8264315 29379.6126 46.5650763 29384.0234 46.33989982831 3 1 1788 29403.8718 45.3267197 29417.1040 44.6513552 29426.4769 44.17305972831 3 1 1789 29428.1309 44.0886787 29431.9903 43.9142823 29435.9876 43.73372962831 3 1 1790 29438.4686 43.6217393 29440.3294 43.5378297 29441.5700 43.48196692831 3 1 1791 29442.8105 43.4262204 29443.7409 43.3845238 29444.3611 43.35680662831 3 1 1792 29444.9814 43.3291665 29445.6017 43.3016289 29446.2220 43.27421952831 3 1 1793 29446.6872 43.2537660 29447.1523 43.2334215 29447.6176 43.21319042831 3 1 1794 29448.0827 43.1931096 29448.5479 43.1731882 29449.0131 43.15345512831 3 1 1795 29449.4783 43.1339376 29449.7884 43.1210616 29450.0986 43.10830022831 3 1 1796 29450.4087 43.0956714 29450.7189 43.0831778 29451.0290 43.07083852831 3 1 1797 29451.3392 43.0586571 29451.6493 43.0466535 29451.9594 43.03483602831 3 1 1798 29452.2695 43.0232175 29452.5797 43.0118073 29452.8898 43.00062612831 3 1 1799 29453.1999 42.9896836 29453.5100 42.9789934 29453.8202 42.96856552831 3 1 1800 29454.1303 42.9584200 29454.4404 42.9485665 29454.7840 42.93800512831 3 1 1801 29455.1612 42.9268614 29455.5383 42.9162116 29455.9154 42.90607142831 3 1 1802 29456.2925 42.8964568 29456.6697 42.8873790 29457.0468 42.87885322831 3 1 1803 29457.4239 42.8708835 29457.8010 42.8634724 29458.1782 42.85661632831 3 1 1804 29458.7438 42.8473632 29459.3095 42.8392989 29459.8752 42.83235052831 3 1 1805 29460.6294 42.8246355 29461.4004 42.8182490 29462.9424 42.80806032831 3 1 1806 29463.6322 42.8033777 29464.1191 42.8004928 29464.9307 42.79408522831 3 1 1807 29465.6205 42.7868398 29466.1886 42.7792219 29466.8784 42.76752432831 3 1 1808 29467.5683 42.7526962 29468.0755 42.7395597 29468.6639 42.72174902831 3 1 1809 29469.2624 42.7006433 29469.9147 42.6740799 29469.9977 42.67042992831 3 1 1810 29470.6544 42.6393999 29471.1949 42.6110256 29471.8777 42.57164372831 3 1 1811 29472.3898 42.5396480 29473.0726 42.4939643 29473.7554 42.44518802831 3 1 1812 29474.3387 42.4014116 29475.0499 42.3458843 29475.9745 42.27108742831 3 1 1813 29478.6062 42.0529256 29479.2997 41.9965173 29479.9931 41.94131712831 3 1 1814 29480.6866 41.8875818 29481.1489 41.8526811 29481.7357 41.80951952831 3 1 1815 29482.2691 41.7714335 29482.6247 41.7466612 29482.9804 41.72237852831 3 1 1816 29483.3360 41.6985966 29483.6916 41.6753028 29484.0472 41.65248862831 3 1 1817 29484.4029 41.6301366 29484.7585 41.6082460 29485.1141 41.58679542831 3 1 1818 29485.4697 41.5657679 29485.8254 41.5451398 29486.1810 41.52490372831 3 1 1819 29486.5366 41.5050342 29486.8922 41.4855111 29487.2123 41.46821662831 3 1 1820 29487.4968 41.4530553 29487.7813 41.4380807 29488.0658 41.42328262831 3 1 1821 29488.3503 41.4086510 29488.6348 41.3941760 29488.9193 41.37984802831 3 1 1822 29489.2038 41.3656579 29489.6305 41.3446138 29490.0573 41.32382582831 3 1 1823 29490.4840 41.3032765 29490.9108 41.2829309 29491.3375 41.26277542831 3 1 1824 29491.7643 41.2427791 29492.1910 41.2229318 29492.6178 41.20320652831 3 1 1825 29493.0445 41.1835964 29493.6135 41.1575940 29494.1825 41.13173342831 3 1 1826 29494.7515 41.1059891 29495.3205 41.0803399 29496.1740 41.04200612831 3 1 1827 29497.0275 41.0037991 29497.3120 40.9910938 29497.8810 40.96878732831 3 1 1828 29499.0190 40.9242723 29500.7260 40.8576307 29503.0020 40.76890412831 3 1 1829 29505.2780 40.6802488 29509.8300 40.5030349 29514.3820 40.32588712831 3 1 1830 29521.7866 40.0377988 29529.1911 39.7497644 29544.0002 39.17377292831 3 1 1831 29558.8093 38.5978430 29566.2139 38.3421346 29588.4275 37.57508372831 3 1 1832 29613.1093 36.7228608 29618.0457 36.5708400 29649.7980 35.59307332831 3 1 1833 29672.3456 34.8987850 29683.6846 34.5857684 29714.7689 33.72773032831 3 1 1834 29728.9099 33.3374100 29757.1921 32.6346440 29785.4742 31.93192722831 3 1 1835 29799.6154 31.6216558 29842.0386 30.6909101 29870.3207 30.07045172831 3 1 1836 29884.4618 29.8014026 29926.8850 28.9943088 29955.1671 28.45628342831 3 1 1837 29969.3083 28.2210676 29997.5904 27.7506729 30025.8726 27.28030782831 3 1 1838 30040.0136 27.0451452 30054.1547 26.8381327 30075.3664 26.52765242831 3 1 1839 30093.0427 26.2689558 30110.1685 26.0183597 30123.7590 25.81954062831 3 1 1840 30124.8600 25.8034382 30133.9519 25.6867319 30144.1448 25.55594172831 3 1 1841 30150.9400 25.4687860 30158.2750 25.3747522 30163.1650 25.31209702831 3 1 1842 30168.0550 25.2494768 30172.9450 25.1869009 30176.6125 25.14000552831 3 1 1843 30180.2800 25.0931492 30183.9475 25.0463409 30187.6150 24.99959252831 3 1 1844 30191.1807 24.9542142 30193.4219 24.9257375 30195.6632 24.89730202831 3 1 1845 30197.9044 24.8689185 30200.1457 24.8405944 30202.3869 24.81234502831 3 1 1846 30204.0679 24.7912144 30205.7488 24.7701440 30207.4297 24.74914342831 3 1 1847 30208.7541 24.7326546 30209.2125 24.7269700 30210.2823 24.71745722831 3 1 1848 30211.8104 24.7039645 30212.9565 24.6939196 30214.1025 24.68395182831 3 1 1849 30215.2487 24.6740729 30216.3948 24.6643045 30217.5409 24.65467132831 3 1 1850 30218.3049 24.6483420 30219.0690 24.6421020 30219.8330 24.63597112831 3 1 1851 30220.4697 24.6309615 30221.2338 24.6250954 30221.9979 24.61942522831 3 1 1852 30222.5072 24.6157791 30223.0166 24.6122602 30223.5260 24.60889152831 3 1 1853 30224.0354 24.6056994 30224.5447 24.6027159 30225.0541 24.59997722831 3 1 1854 30225.4362 24.5981100 30225.8182 24.5964271 30226.2002 24.59495212831 3 1 1855 30226.5822 24.5937118 30226.9388 24.5928014 30226.9643 24.59318022831 3 1 1856 30227.3463 24.5991523 30227.7284 24.6054625 30228.1104 24.61214902831 3 1 1857 30228.3650 24.6168379 30228.6961 24.6232419 30229.0272 24.63002452831 3 1 1858 30229.3583 24.6372236 30229.6894 24.6448800 30230.0205 24.65303792831 3 1 1859 30230.3516 24.6617446 30230.6063 24.6689032 30230.6827 24.67329622831 3 1 1860 30231.0138 24.6929877 30231.3449 24.7133895 30231.6760 24.73456212831 3 1 1861 30232.0071 24.7565694 30232.3382 24.7794784 30232.6693 24.80335902831 3 1 1862 30233.0004 24.8282840 30233.3315 24.8543288 30233.4588 24.86480282831 3 1 1863 30233.6625 24.8924935 30234.0446 24.9460279 30234.4266 25.00137322831 3 1 1864 30234.8087 25.0586849 30235.1907 25.1180597 30235.5727 25.17963802831 3 1 1865 30235.9547 25.2435434 30236.3368 25.3099128 30236.5150 25.34205982831 3 1 1866 30236.7188 25.3928796 30237.1009 25.4908270 30237.4829 25.59151022831 3 1 1867 30237.9158 25.7090515 30238.2724 25.8086908 30238.5525 25.88898782831 3 1 1868 30238.6290 25.9159240 30238.9856 26.0441007 30239.5204 26.24125172831 3 1 1869 30240.0552 26.4442679 30240.5900 26.6530115 30241.1605 26.92090862831 3 1 1870 30241.7310 27.1945923 30242.3015 27.4734547 30243.0962 27.86905392831 3 1 1871 30243.3610 28.0032926 30244.6650 28.6938037 30245.7653 29.27611022831 3 1 1872 30246.7025 29.7626833 30247.3138 30.0703999 30247.5175 30.15614152831 3 1 1873 30248.2510 30.4506358 30248.9845 30.7283456 30249.2290 30.81477042831 3 1 1874 30249.6365 30.9152151 30250.2070 31.0417856 30250.7979 31.15802752831 3 1 1875 30250.9406 31.1820263 30251.4621 31.2211461 30251.8533 31.23950172831 3 1 1876 30251.9984 31.2328696 30252.5542 31.1931290 30253.0799 31.14221842831 3 1 1877 30253.4263 31.0998318 30253.6708 31.0421232 30254.2005 30.90408502831 3 1 1878 30254.7710 30.7424696 30255.0970 30.6421067 30255.5045 30.47431962831 3 1 1879 30256.1769 30.1817823 30256.9715 29.8200600 30257.2160 29.70443982831 3 1 1880 30257.8680 29.3531522 30259.2535 28.5876014 30260.7409 27.76189742831 3 1 1881 30261.5355 27.3270479 30261.7800 27.1957163 30262.3302 26.92623812831 3 1 1882 30262.9516 26.6288793 30263.4865 26.3784791 30264.0213 26.13364502831 3 1 1883 30264.0824 26.1063301 30264.5562 25.9261335 30265.0910 25.72861062831 3 1 1884 30265.5622 25.5594661 30266.0206 25.3992736 30266.0792 25.37926802831 3 1 1885 30266.3644 25.2998506 30266.7083 25.2064154 30267.0521 25.11527842831 3 1 1886 30267.3960 25.0263214 30267.7398 24.9395236 30268.0836 24.85478052831 3 1 1887 30268.0963 24.8517229 30268.4274 24.7930994 30268.7712 24.73411162831 3 1 1888 30269.1150 24.6769183 30269.4207 24.6274963 30269.7263 24.57937162831 3 1 1889 30270.0319 24.5324629 30270.3375 24.4867058 30270.6432 24.44202212831 3 1 1890 30270.9488 24.3983785 30271.1525 24.3699301 30271.2544 24.36086972831 3 1 1891 30271.5600 24.3346019 30271.8657 24.3091725 30272.1713 24.28454242831 3 1 1892 30272.4769 24.2606496 30272.7825 24.2374425 30273.0882 24.21486502831 3 1 1893 30273.3938 24.1928850 30273.6994 24.1714508 30274.0050 24.15052072831 3 1 1894 30274.3107 24.1300485 30274.6163 24.1100106 30274.9219 24.09942272831 3 1 1895 30275.2275 24.0891952 30275.5332 24.0792946 30275.8388 24.06969912831 3 1 1896 30276.1444 24.0603795 30276.4500 24.0513115 30276.8575 24.03957312831 3 1 1897 30277.2650 24.0281945 30277.6725 24.0171330 30278.0800 24.00635012831 3 1 1898 30278.4875 23.9958121 30278.8950 23.9854890 30279.3025 23.97535422831 3 1 1899 30279.7100 23.9653846 30280.1175 23.9555598 30280.5250 23.94586192831 3 1 1900 30281.0344 23.9338940 30281.5438 23.9220742 30282.0532 23.91038062831 3 1 1901 30282.1550 23.9080700 30282.8172 23.8993912 30283.5813 23.88957052831 3 1 1902 30284.3454 23.8799054 30285.1094 23.8703678 30285.6188 23.86406742831 3 1 1903 30286.6375 23.8515857 30287.6563 23.8392331 30288.6750 23.82698752831 3 1 1904 30289.6429 23.8154342 30291.0946 23.7982292 30292.5463 23.78114612831 3 1 1905 30293.9980 23.7641630 30295.4497 23.7472632 30296.9015 23.73043242831 3 1 1906 30298.3532 23.7136627 30300.2888 23.6913818 30302.2244 23.66917662831 3 1 1907 30304.1600 23.6470347 30306.6050 23.6191406 30309.0500 23.59131582831 3 1 1908 30311.4950 23.5635481 30313.9400 23.5358279 30317.2000 23.49892832831 3 1 1909 30320.4600 23.4620854 30323.7200 23.4252886 30326.9800 23.38852972831 3 1 1910 30330.2400 23.3518024 30335.5227 23.2923413 30340.8054 23.23293292831 3 1 1911 30343.2800 23.2051231 30346.0881 23.1780051 30351.3708 23.12702202831 3 1 1912 30358.4143 23.0590848 30365.4579 22.9911812 30372.5015 22.92330442831 3 1 1913 30383.0669 22.8215276 30393.1061 22.7248521 30406.1411 22.59936072831 3 1 1914 30419.1760 22.4738963 30438.7284 22.2857352 30461.0741 22.07072942831 3 1 1915 30483.4197 21.8844402 30513.2139 21.6360774 30543.0081 21.38773622831 3 1 1916 30587.6994 21.0152516 30617.4935 20.7988368 30666.2107 20.44498732831 3 1 1917 30714.9278 20.0911546 30788.0036 19.6284013 30861.0793 19.16566992831 3 1 1918 30934.1550 18.7624299 31007.2307 18.3592044 31104.6650 17.88830502831 3 1 1919 31153.3822 17.6528647 31202.0993 17.4465112 31299.5336 17.03382042831 3 1 1920 31348.2507 16.8274825 31396.9678 16.6492575 31494.4021 16.29282022831 3 1 1921 31543.1193 16.1146072 31591.8364 15.9609978 31689.2707 15.65378972831 3 1 1922 31786.7049 15.3465923 31884.1392 15.0845246 31981.5735 14.82246812831 3 1 1923 32030.2907 14.6914460 32079.0078 14.5783190 32152.0835 14.40863892831 3 1 1924 32208.4250 14.2778217 32283.0520 14.1045618 32304.3740 14.05506292831 3 1 1925 32325.6960 14.0132860 32379.0010 13.9088538 32426.9755 13.81487892831 3 1 1926 32458.9585 13.7522380 32490.9415 13.6896057 32522.9245 13.62698572831 3 1 1927 32546.9118 13.5800301 32570.8990 13.5330849 32594.8863 13.48615192831 3 1 1928 32602.8820 13.4705126 32616.2083 13.4499251 32636.1977 13.41905752831 3 1 1929 32656.1870 13.3882050 32672.1785 13.3635381 32688.1700 13.33888662831 3 1 1930 32704.1615 13.3142538 32716.1552 13.2957940 32728.1488 13.27734932831 3 1 1931 32740.1424 13.2589226 32752.1360 13.2405171 32764.1297 13.22213692831 3 1 1932 32776.1233 13.2037874 32784.1190 13.1915743 32794.1138 13.18440522831 3 1 1933 32800.7769 13.1796458 32807.4400 13.1749048 32814.1031 13.17018442831 3 1 1934 32820.7663 13.1654877 32827.4294 13.1608183 32834.0925 13.15618052831 3 1 1935 32839.9227 13.1521524 32844.9201 13.1487251 32849.9174 13.14532452831 3 1 1936 32854.9148 13.1419542 32858.7460 13.1393967 32859.9121 13.14068392831 3 1 1937 32864.9095 13.1462393 32869.9068 13.1518393 32874.9042 13.15749132831 3 1 1938 32879.0686 13.1622469 32884.0660 13.1680177 32889.0634 13.17386982831 3 1 1939 32892.3949 13.1778233 32895.7265 13.1818247 32899.0580 13.18587962831 3 1 1940 32901.3901 13.1887606 32902.3896 13.1930718 32905.3880 13.20606392831 3 1 1941 32909.3858 13.2234855 32912.0511 13.2351719 32914.7163 13.24692322831 3 1 1942 32917.3816 13.2587483 32920.0468 13.2706554 32920.7131 13.27365552831 3 1 1943 32922.7121 13.2902042 32925.3773 13.3123739 32928.4757 13.33830012831 3 1 1944 32930.5413 13.3556887 32932.6069 13.3731722 32932.7067 13.37402202831 3 1 1945 32934.6724 13.4008040 32936.7380 13.4290665 32938.8035 13.45746242831 3 1 1946 32940.8691 13.4860120 32942.7014 13.5114813 32945.1001 13.56288792831 3 1 1947 32946.6993 13.5973284 32948.2984 13.6319196 32949.8976 13.66668412831 3 1 1948 32950.6972 13.6841627 32951.4967 13.7100782 32953.0959 13.76213312831 3 1 1949 32954.6950 13.8144314 32956.0277 13.8582302 32957.3603 13.90224402831 3 1 1950 32958.6929 13.9659754 32960.0255 14.0299828 32961.3582 14.09430772831 3 1 1951 32962.6908 14.1589832 32964.0234 14.2486584 32965.3560 14.33880042831 3 1 1952 32966.4221 14.4112999 32966.6887 14.4295272 32967.4882 14.50446052831 3 1 1953 32968.5543 14.6048223 32969.6204 14.7056866 32970.6865 14.80712632831 3 1 1954 32971.7526 14.9438703 32972.8187 15.0813805 32973.3518 15.15052682831 3 1 1955 32973.6183 15.1940175 32974.3180 15.3086628 32975.1842 15.45125792831 3 1 1956 32975.3507 15.4788285 32976.0504 15.6192333 32976.9166 15.79400912831 3 1 1957 32976.9499 15.8007705 32977.7828 16.0072519 32978.6490 16.22325712831 3 1 1958 32978.8156 16.2650452 32979.2987 16.4126788 32979.9483 16.61210762831 3 1 1959 32980.2149 16.6943715 32980.5980 16.8356505 32981.1477 17.03924562831 3 1 1960 32981.6141 17.2128231 32981.8141 17.3022967 32982.4804 17.60182312831 3 1 1961 32983.0133 17.8426644 32983.1467 17.9140532 32983.8130 18.27239992831 3 1 1962 32984.1461 18.4525281 32984.4793 18.6604407 32985.1456 19.07836582831 3 1 1963 32985.8119 19.5586813 32986.1450 19.8000635 32986.4449 20.04807272831 3 1 1964 32987.0446 20.5463384 32987.1445 20.6297468 32987.6443 21.10442362831 3 1 1965 32988.1439 21.5810751 32988.2439 21.6891808 32988.8436 22.34024822831 3 1 1966 32989.1434 22.6671817 32989.4433 23.0356412 32990.0430 23.77548472831 3 1 1967 32990.1429 23.8992581 32990.6426 24.5919372 32991.1424 25.28786432831 3 1 1968 32991.4089 25.6997867 32992.1085 26.7859216 32992.1418 26.83783952831 3 1 1969 32992.8081 27.9800059 32993.1413 28.5533531 32993.5078 29.23953402831 3 1 1970 32994.1407 30.4285106 32994.2074 30.5649593 32995.0403 32.27432162831 3 1 1971 32995.5400 33.3035726 32996.1397 34.6344641 32996.9393 36.41509402831 3 1 1972 32997.6056 37.9646377 33000.2708 44.1737631 33000.5373 44.79295522831 3 1 1973 33001.4702 46.8193921 33001.8166 47.5687044 33002.3697 48.63906312831 3 1 1974 33003.0959 50.0368323 33003.2026 50.2113326 33004.0022 51.50931152831 3 1 1975 33004.1620 51.7664898 33004.8017 52.5881226 33005.2281 53.12839942831 3 1 1976 33005.7612 53.6315948 33006.0277 53.8779208 33006.6141 54.24393452831 3 1 1977 33006.8273 54.3736212 33007.1471 54.4660478 33007.6535 54.60390072831 3 1 1978 33007.9467 54.6179842 33008.0320 54.5997051 33008.0746 54.59010342831 3 1 1979 33008.9063 54.3939328 33008.9595 54.3803578 33009.7058 53.92248392831 3 1 1980 33009.7591 53.8888104 33010.5054 53.1696577 33010.7186 52.96055092831 3 1 1981 33011.3050 52.2148584 33011.4115 52.0777515 33012.1046 50.99077652831 3 1 1982 33012.5043 50.3583366 33012.9041 49.6090280 33013.5971 48.30158802831 3 1 1983 33013.7637 47.9465022 33014.6232 46.1056031 33014.9297 45.44639232831 3 1 1984 33015.7959 43.4169406 33016.9287 40.7557520 33018.9276 35.99072162831 3 1 1985 33019.1941 35.3812468 33020.0604 33.4055182 33020.3935 32.68761162831 3 1 1986 33021.1931 30.9697762 33021.2597 30.8370208 33022.1925 28.98436082831 3 1 1987 33022.3258 28.7205634 33022.8922 27.6976711 33023.4585 26.67860462831 3 1 1988 33023.5918 26.4613880 33024.2914 25.3259594 33024.4581 25.05655812831 3 1 1989 33025.0577 24.1829390 33025.4575 23.6028355 33025.5907 23.43006442831 3 1 1990 33026.1238 22.7411632 33026.4570 22.3121467 33026.6568 22.08390792831 3 1 1991 33027.1899 21.4773440 33027.4564 21.1752785 33027.7229 20.90897142831 3 1 1992 33028.2560 20.3784726 33028.4559 20.1803375 33028.7890 19.89073602831 3 1 1993 33029.4554 19.3141469 33030.1217 18.8130160 33030.4549 18.56374412831 3 1 1994 33030.7880 18.3464983 33031.4543 17.9143833 33032.1206 17.54852152831 3 1 1995 33032.7869 17.1846869 33033.4532 16.8838070 33034.1195 16.58458672831 3 1 1996 33034.7692 16.3482972 33035.4188 16.1133261 33035.8187 15.96938652831 3 1 1997 33036.0685 15.8975080 33036.7181 15.7116284 33037.3678 15.52665452831 3 1 1998 33037.5177 15.4841708 33038.0174 15.3659117 33038.6504 15.21695482831 3 1 1999 33038.8836 15.1719841 33039.7498 15.0061120 33040.6160 14.84125592831 3 1 2000 33040.9159 14.7845016 33041.5822 14.6864013 33042.3818 14.56939952831 3 1 2001 33043.1813 14.4529885 33044.2474 14.3323949 33045.3135 14.21258432831 3 1 2002 33045.8466 14.1530116 33046.3796 14.1086515 33047.4457 14.02051012831 3 1 2003 33048.5118 13.9328813 33049.5779 13.8457022 33049.8445 13.82401182831 3 1 2004 33050.9106 13.7607990 33052.2432 13.6823178 33053.5758 13.60429802831 3 1 2005 33053.8423 13.5887756 33054.9084 13.5443107 33056.2411 13.48907832831 3 1 2006 33057.5737 13.4341594 33058.9063 13.3795140 33059.7059 13.34687082831 3 1 2007 33060.2389 13.3315204 33061.9714 13.2819443 33063.7038 13.23268742831 3 1 2008 33065.4362 13.1837058 33065.5694 13.1799583 33067.1686 13.14943662831 3 1 2009 33068.9010 13.1165841 33070.6334 13.0839183 33072.3658 13.05141792831 3 1 2010 33074.0982 13.0190647 33075.4309 12.9942951 33076.4970 12.98251652831 3 1 2011 33078.8957 12.9562320 33081.2944 12.9301354 33083.6931 12.90420212831 3 1 2012 33086.0919 12.8784104 33088.4906 12.8527450 33090.8893 12.82718992831 3 1 2013 33091.9555 12.8158743 33093.2880 12.8077130 33096.2865 12.78946872831 3 1 2014 33099.2849 12.7713428 33102.2833 12.7533197 33105.2817 12.73538652831 3 1 2015 33108.2801 12.7175327 33111.2785 12.6997490 33111.9448 12.69581092831 3 1 2016 33114.2769 12.6874702 33117.2753 12.6768020 33121.6064 12.66147832831 3 1 2017 33125.9374 12.6462440 33130.2684 12.6310864 33134.5994 12.61599562831 3 1 2018 33138.9305 12.6009626 33141.2625 12.5928956 33143.2615 12.58882622831 3 1 2019 33147.5925 12.5800544 33153.7299 12.5676914 33159.1489 12.55683362831 3 1 2020 33164.5680 12.5460235 33169.9870 12.5352565 33175.4061 12.52452822831 3 1 2021 33180.8250 12.5138356 33188.0504 12.4996288 33195.2758 12.48547512831 3 1 2022 33197.9835 12.4801901 33202.5012 12.4764119 33209.7265 12.47041922831 3 1 2023 33212.6623 12.4679986 33218.5338 12.4631829 33224.4053 12.45840202831 3 1 2024 33230.2768 12.4536578 33236.1483 12.4489534 33242.0198 12.44429252831 3 1 2025 33247.8913 12.4396805 33252.2949 12.4362578 33252.2950 12.43625792831 3 1 2026 33256.6986 12.4414918 33261.4692 12.4472072 33265.1389 12.45164022831 3 1 2027 33268.8086 12.4561090 33272.4783 12.4606183 33276.1480 12.46517352831 3 1 2028 33279.8177 12.4697812 33283.1203 12.4739823 33283.4874 12.47574412831 3 1 2029 33287.1570 12.4934258 33290.4230 12.5092310 33293.2854 12.52314412831 3 1 2030 33296.1477 12.5371220 33299.0101 12.5511755 33301.1752 12.56187092831 3 1 2031 33301.8724 12.5687909 33304.7348 12.5973017 33306.8815 12.61875972831 3 1 2032 33309.0283 12.6402928 33311.1751 12.6619100 33311.5971 12.66618042831 3 1 2033 33313.7989 12.7034093 33315.7071 12.7357779 33317.6154 12.76824882831 3 1 2034 33319.5236 12.8008326 33320.4043 12.8159315 33321.4319 12.84430642831 3 1 2035 33323.3401 12.8971474 33325.2483 12.9501621 33327.1565 13.00337842831 3 1 2036 33327.7437 13.0198147 33328.4776 13.0498912 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