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 9.00000E+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 900.000000 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 18814 32831 1451 497 3 2 5316 32831 1451 498 3 3 13841 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 13778 42831 1451 517 3 103 12 12831 1451 518 3 104 12 12831 1451 519 3 107 120 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 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 629 485800.000 .500000000 9965.70300 2.00000000 0.0 0.0 2831 2151 630 498500.000 .500000000 4526.60000 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1835 30237.5083 26.1135051 30238.0941 26.2661095 30238.1450 26.27972562831 3 1 1836 30238.8073 26.4895429 30239.5204 26.7205486 30240.4118 27.01562032831 3 1 1837 30241.3235 27.3235745 30241.4458 27.3668764 30244.2168 28.36197152831 3 1 1838 30245.3985 28.7791130 30246.2950 29.0861904 30246.4173 29.12110792831 3 1 1839 30247.2730 29.3545511 30248.0065 29.5448527 30248.6178 29.69549202831 3 1 1840 30248.6585 29.7049522 30249.3105 29.8067945 30249.9218 29.89305512831 3 1 1841 30250.6145 29.9797017 30250.8591 30.0059276 30251.3154 30.02674322831 3 1 1842 30251.7392 30.0383582 30251.9984 30.0295368 30252.7254 29.99119002831 3 1 1843 30253.4671 29.9377518 30253.7930 29.9081370 30254.2005 29.83548842831 3 1 1844 30254.7710 29.7247104 30255.5045 29.5713464 30256.2380 29.40553042831 3 1 1845 30256.4010 29.3557866 30257.2568 29.0810109 30258.1940 28.76759032831 3 1 1846 30259.2535 28.4014419 30259.4980 28.3148080 30261.0058 27.73932142831 3 1 1847 30262.5950 27.1308636 30263.6648 26.7270721 30264.5562 26.39688002831 3 1 1848 30264.6325 26.3691647 30265.2693 26.1672782 30265.9060 25.96975572831 3 1 1849 30266.5937 25.7613421 30267.2813 25.5583087 30267.6888 25.44068402831 3 1 1850 30267.7398 25.4288528 30268.1982 25.3249588 30268.6566 25.22350462831 3 1 1851 30269.1150 25.1244660 30269.5735 25.0277830 30270.0319 24.93344472831 3 1 1852 30270.4904 24.8413456 30270.9488 24.7514515 30271.4072 24.68405332831 3 1 1853 30271.8657 24.6186537 30272.3241 24.5551865 30272.7825 24.49353942831 3 1 1854 30273.1900 24.4402662 30273.2410 24.4354254 30273.6994 24.39353262831 3 1 1855 30274.0050 24.3664528 30274.4125 24.3313402 30274.8200 24.29730282831 3 1 1856 30275.2275 24.2642719 30275.6350 24.2321805 30276.0425 24.20096402831 3 1 1857 30276.4500 24.1705596 30276.8575 24.1409076 30277.2650 24.11195042831 3 1 1858 30277.6725 24.0963576 30278.0800 24.0813536 30278.4875 24.06688962831 3 1 1859 30278.8950 24.0529200 30279.3025 24.0394018 30279.7100 24.02629502831 3 1 1860 30280.1175 24.0135624 30280.5250 24.0011695 30280.9071 23.98982922831 3 1 1861 30281.2891 23.9787382 30281.6712 23.9678681 30282.0532 23.95720392831 3 1 1862 30282.4352 23.9467239 30282.8172 23.9364106 30283.3266 23.92288972831 3 1 1863 30283.8360 23.9096030 30284.3454 23.8965206 30284.8547 23.88361852831 3 1 1864 30285.3641 23.8708686 30285.4150 23.8696081 30285.8735 23.86359452831 3 1 1865 30286.3829 23.8570303 30286.8922 23.8505688 30287.6563 23.84103672831 3 1 1866 30288.4204 23.8316661 30289.1590 23.8227337 30289.6429 23.81693762831 3 1 1867 30290.6107 23.8054559 30291.5785 23.7940951 30292.5463 23.78283062831 3 1 1868 30293.5141 23.7716439 30294.9658 23.7549798 30296.4175 23.73842582831 3 1 1869 30297.8693 23.7219573 30299.3210 23.7055602 30301.2566 23.68378632831 3 1 1870 30303.1922 23.6620951 30304.9750 23.6421764 30307.4200 23.61493612831 3 1 1871 30309.8650 23.5877688 30312.3100 23.5606610 30313.9400 23.54261692831 3 1 1872 30317.2000 23.5065843 30320.4600 23.4706131 30323.7200 23.43469132831 3 1 1873 30326.9800 23.3988097 30330.2400 23.3629613 30333.7618 23.32426502831 3 1 1874 30339.0445 23.2662692 30344.3272 23.2083196 30349.6099 23.15040612831 3 1 1875 30354.8926 23.0925212 30361.9361 23.0153772 30363.7686 22.99531492831 3 1 1876 30368.9797 22.9459692 30379.5451 22.8459657 30390.7785 22.73968212831 3 1 1877 30403.3479 22.6207949 30420.1071 22.4623184 30436.8663 22.30387482831 3 1 1878 30453.6255 22.1454541 30468.5226 22.0046551 30481.5576 21.89467102831 3 1 1879 30509.4897 21.6590177 30528.1110 21.5019276 30557.9052 21.25060042831 3 1 1880 30572.8023 21.1378556 30617.4935 20.7996482 30666.2107 20.43099442831 3 1 1881 30714.9278 20.1072841 30788.0036 19.6217418 30812.3622 19.45990162831 3 1 1882 30861.0793 19.1786757 30934.1550 18.7568556 30958.5136 18.61625372831 3 1 1883 31007.2307 18.3753954 31104.6650 17.8936988 31153.3822 17.65285992831 3 1 1884 31202.0993 17.4465065 31299.5336 17.0338160 31348.2507 16.82747832831 3 1 1885 31396.9678 16.6492535 31494.4021 16.2928164 31543.1193 16.11460362831 3 1 1886 31591.8364 15.9610181 31689.2707 15.6538578 31786.7049 15.34670832831 3 1 1887 31884.1392 15.0845931 31981.5735 14.8224892 32030.2907 14.69144332831 3 1 1888 32079.0078 14.5783227 32152.0835 14.4086518 32208.4250 14.27784192831 3 1 1889 32280.3868 14.1107786 32304.3740 14.0550961 32341.6875 13.98198602831 3 1 1890 32379.0010 13.9088839 32426.9755 13.8149075 32462.9564 13.74443582831 3 1 1891 32496.2720 13.6791946 32528.2550 13.6165759 32560.2380 13.55397262831 3 1 1892 32581.5600 13.5122480 32602.8820 13.4705343 32624.2040 13.43772432831 3 1 1893 32645.5260 13.4049300 32664.1828 13.3762513 32678.1754 13.35475512831 3 1 1894 32692.1679 13.3332718 32706.1605 13.3118034 32720.1530 13.29035322831 3 1 1895 32733.1462 13.2704544 32746.1393 13.2505784 32759.1324 13.23072982831 3 1 1896 32767.7944 13.2175156 32776.4565 13.2043181 32785.1185 13.19114022831 3 1 1897 32786.7843 13.1886101 32792.7811 13.1844347 32802.7758 13.17750772831 3 1 1898 32809.4389 13.1729132 32816.1020 13.1683404 32822.7652 13.16379252831 3 1 1899 32829.4283 13.1592734 32836.0914 13.1547876 32842.7545 13.15034062831 3 1 1900 32847.7519 13.1470348 32852.7492 13.1437580 32857.7466 13.14051402831 3 1 1901 32858.7460 13.1398728 32862.7439 13.1440220 32867.7413 13.14925142831 3 1 1902 32872.7386 13.1545302 32877.7360 13.1598666 32882.7333 13.16527022831 3 1 1903 32887.7307 13.1707531 32891.0623 13.1744594 32894.3939 13.17821222831 3 1 1904 32897.7254 13.1820173 32898.7248 13.1831766 32901.0570 13.19247262831 3 1 1905 32904.3885 13.2058190 32907.7201 13.2192425 32910.7185 13.23139822831 3 1 1906 32913.3837 13.2422705 32916.0490 13.2532148 32918.3144 13.26258562831 3 1 1907 32918.7142 13.2656915 32921.3795 13.2864884 32924.0447 13.30738832831 3 1 1908 32926.7100 13.3284073 32929.3752 13.3495613 32930.8411 13.36127602831 3 1 1909 32931.6740 13.3721683 32933.6063 13.3975397 32935.5386 13.42301552831 3 1 1910 32937.4709 13.4486082 32939.4032 13.4743326 32941.2356 13.49886802831 3 1 1911 32941.3355 13.5009626 32943.2678 13.5416469 32945.2001 13.58252332831 3 1 1912 32946.9658 13.6200672 32948.5650 13.6542506 32949.4978 13.67430242831 3 1 1913 32950.1641 13.6959674 32951.7633 13.7481855 32953.3624 13.80065072831 3 1 1914 32954.9616 13.8534060 32956.2942 13.8976420 32956.5607 13.91064302831 3 1 1915 32958.1599 13.9890420 32959.5591 14.0580016 32960.7585 14.11742712831 3 1 1916 32961.6247 14.1605826 32961.9579 14.1839582 32963.1573 14.26847962831 3 1 1917 32964.3566 14.3534281 32965.5560 14.4388856 32965.6226 14.44366322831 3 1 1918 32966.7553 14.5508340 32967.6549 14.6363916 32968.2878 14.69688872831 3 1 1919 32968.5543 14.7296392 32969.6204 14.8612926 32970.4200 14.96055382831 3 1 1920 32970.9531 15.0270683 32971.2196 15.0692514 32972.0192 15.19638292831 3 1 1921 32972.8187 15.3241352 32972.9520 15.3455547 32973.6183 15.47893362831 3 1 1922 32974.4179 15.6398030 32974.9509 15.7476411 32975.2175 15.81565502831 3 1 1923 32976.0170 16.0206411 32976.8166 16.2268003 32976.9499 16.26136412831 3 1 1924 32977.4829 16.4314832 32978.2825 16.6879978 32978.4491 16.74177272831 3 1 1925 32979.0821 16.9868404 32979.6818 17.2201591 32979.9483 17.32431832831 3 1 1926 32980.2814 17.4805099 32980.8811 17.7628638 32981.4476 18.03075772831 3 1 1927 32981.4808 18.0495523 32982.0805 18.3903740 32982.6802 18.73261862831 3 1 1928 32982.9467 18.8853822 32983.2799 19.1105480 32984.0794 19.65334562831 3 1 1929 32984.2794 19.7898008 32984.6791 20.1062884 32985.2788 20.58296362831 3 1 1930 32985.6120 20.8488716 32985.8785 21.0895576 32986.4782 21.63316032831 3 1 1931 32986.6115 21.7544499 32987.0779 22.2236816 32987.6109 22.76180822831 3 1 1932 32987.6776 22.8369706 32988.5438 23.8169226 32988.9436 24.27128542831 3 1 1933 32989.3433 24.7801814 32990.1429 25.8022083 32990.2762 25.97324562831 3 1 1934 32990.9425 26.9175749 32991.6088 27.8650941 32991.7421 28.07124302831 3 1 1935 32992.5416 29.3113066 32992.9414 29.9332228 32993.4745 30.82503632831 3 1 1936 32994.6072 32.7257282 32994.8737 33.1990302 32997.2725 37.47146242831 3 1 1937 32998.9382 40.4370432 32999.5379 41.4525756 33000.2708 42.68891122831 3 1 1938 33000.7373 43.4129560 33001.5768 44.7093453 33001.8833 45.12507672831 3 1 1939 33002.8827 46.4707506 33002.9761 46.5765595 33003.9488 47.66740102831 3 1 1940 33004.0022 47.7153422 33004.9617 48.5649826 33005.0149 48.61137512831 3 1 1941 33005.9745 49.1981395 33006.1876 49.3256284 33006.7741 49.51289902831 3 1 1942 33007.2537 49.6594901 33007.7708 49.7010149 33007.9360 49.71262102831 3 1 1943 33008.0746 49.6916283 33008.9595 49.5483519 33009.1195 49.47961212831 3 1 1944 33009.9190 49.1248390 33010.0256 49.0761493 33010.8785 48.46606972831 3 1 1945 33011.0651 48.3302254 33011.7314 47.6975514 33011.9579 47.47968632831 3 1 1946 33012.7975 46.4992342 33013.0507 46.2003936 33013.9302 44.98056332831 3 1 1947 33014.2634 44.5147613 33015.1296 43.1460592 33015.5960 42.40494462831 3 1 1948 33016.3956 41.0083176 33017.5950 38.9048417 33018.3945 37.45073272831 3 1 1949 33020.9599 32.7798445 33021.1931 32.3562191 33022.2592 30.53189622831 3 1 1950 33022.8922 29.4515593 33023.1920 28.9751173 33024.1248 27.49702412831 3 1 1951 33024.1249 27.4968662 33025.0576 26.1382829 33025.4575 25.55783372831 3 1 1952 33025.8572 25.0327373 33026.6568 23.9862038 33026.7901 23.81240062831 3 1 1953 33027.4564 23.0258441 33027.7896 22.6341582 33028.2559 22.13473242831 3 1 1954 33028.7890 21.5663579 33029.0555 21.3091584 33029.6552 20.73287572831 3 1 1955 33029.7886 20.6051689 33030.3216 20.1460994 33030.7880 19.74610632831 3 1 1956 33030.9879 19.5897566 33031.4543 19.2266030 33031.6542 19.08768162831 3 1 1957 33032.3205 18.6268515 33032.7869 18.3057424 33032.9868 18.18824762831 3 1 1958 33033.6531 17.7985826 33034.1195 17.5271081 33034.3194 17.42706492831 3 1 1959 33035.0523 17.0622408 33035.2523 16.9631583 33035.6520 16.79120932831 3 1 1960 33036.2517 16.5344048 33036.3850 16.4775670 33036.8514 16.31090262831 3 1 1961 33037.4511 16.0976213 33038.0841 15.8736436 33038.2506 15.82599312831 3 1 1962 33039.0502 15.5986542 33039.7832 15.3914792 33039.8498 15.37568072831 3 1 1963 33040.6494 15.1871997 33040.9159 15.1247080 33041.3157 15.04795282831 3 1 1964 33042.1152 14.8953409 33042.9148 14.7435684 33043.1813 14.69323822831 3 1 1965 33043.7144 14.6169892 33044.5140 14.5033006 33045.3135 14.39022852831 3 1 1966 33045.8466 14.3151904 33046.1131 14.2867570 33046.9127 14.20192382831 3 1 1967 33047.9788 14.0894712 33048.5118 14.0335769 33049.0449 13.99236212831 3 1 1968 33050.2443 13.9003064 33051.2438 13.8240639 33052.2432 13.74820242831 3 1 1969 33052.5097 13.7280745 33053.5758 13.6704218 33054.9084 13.59885872831 3 1 1970 33056.2411 13.5277214 33056.7741 13.4994200 33057.5737 13.46935672831 3 1 1971 33058.9063 13.4195787 33060.2389 13.3700854 33061.9714 13.30611002831 3 1 1972 33062.6377 13.2816451 33063.7038 13.2552469 33065.4362 13.21266172831 3 1 1973 33067.1686 13.1703463 33068.9010 13.1282659 33070.5002 13.08961112831 3 1 1974 33070.6334 13.0874952 33072.3658 13.0601576 33074.6979 13.02360652831 3 1 1975 33076.4970 12.9955806 33078.8957 12.9584159 33080.3616 12.93582632831 3 1 1976 33081.2944 12.9271996 33083.6931 12.9051896 33086.0919 12.88332982831 3 1 1977 33088.4906 12.8616029 33090.8893 12.8399921 33093.2880 12.81848362831 3 1 1978 33096.2865 12.7917233 33098.6186 12.7710057 33099.2849 12.76776582831 3 1 1979 33102.2833 12.7532925 33105.2817 12.7389125 33108.2801 12.72461432831 3 1 1980 33111.2785 12.7103884 33114.2769 12.6962266 33117.2753 12.68212172831 3 1 1981 33121.6064 12.6618361 33125.9374 12.6416420 33126.6037 12.63854732831 3 1 1982 33130.2684 12.6289384 33134.5994 12.6176503 33138.9305 12.60642122831 3 1 1983 33143.2615 12.5952441 33147.5925 12.5841127 33153.7299 12.56840712831 3 1 1984 33159.1489 12.5545986 33164.5680 12.5408384 33169.6230 12.52804322831 3 1 1985 33169.9870 12.5275098 33175.4061 12.5196083 33180.8250 12.51174282831 3 1 1986 33188.0504 12.5013061 33195.2758 12.4909231 33202.5012 12.48059142831 3 1 1987 33209.7265 12.4703100 33212.6623 12.4661469 33218.5338 12.45784652831 3 1 1988 33224.4053 12.4495812 33230.2768 12.4466862 33236.1483 12.44383142831 3 1 1989 33242.0198 12.4410207 33247.8913 12.4382597 33250.8270 12.43690392831 3 1 1990 33252.2950 12.4386349 33256.6986 12.4438634 33261.4692 12.44957392831 3 1 1991 33265.1389 12.4540038 33268.8086 12.4584703 33272.4783 12.46297832831 3 1 1992 33276.1480 12.4675334 33279.8177 12.4721424 33283.1203 12.47634642831 3 1 1993 33283.4874 12.4781777 33287.1570 12.4965559 33290.4230 12.51298352831 3 1 1994 33293.2854 12.5274446 33296.1477 12.5419733 33299.0101 12.55658122831 3 1 1995 33301.1752 12.5676992 33301.8724 12.5749564 33304.7348 12.60485742831 3 1 1996 33306.8815 12.6273625 33309.0283 12.6499476 33311.1751 12.67262262831 3 1 1997 33311.5971 12.6770976 33312.8448 12.6995154 33314.7530 12.73388592831 3 1 1998 33316.6613 12.7683609 33318.5695 12.8029514 33320.4043 12.83634082831 3 1 1999 33320.4778 12.8383212 33322.3860 12.8898920 33324.2942 12.94164362831 3 1 2000 33324.8079 12.9556246 33325.7254 12.9911260 33327.1565 13.04663482831 3 1 2001 33328.4776 13.0980121 33329.7987 13.1495364 33330.6794 13.18399612831 3 1 2002 33331.1198 13.2093551 33332.4409 13.2856170 33333.7620 13.36209812831 3 1 2003 33335.0831 13.4388322 33336.4042 13.5438304 33337.3950 13.62279992831 3 1 2004 33338.0188 13.6726504 33338.3124 13.7036809 33339.4867 13.82810252831 3 1 2005 33340.6610 13.9529256 33340.9546 13.9842354 33341.5417 14.06581722831 3 1 2006 33342.4224 14.1884944 33343.1564 14.2910169 33343.3032 14.31724892831 3 1 2007 33344.1839 14.4750025 33345.0646 14.6331858 33345.3582 14.68608182831 3 1 2008 33345.9453 14.8170879 33346.8261 15.0141812 33347.5233 15.20120472831 3 1 2009 33348.2939 15.4084327 33348.3307 15.4204260 33349.1380 15.68417402831 3 1 2010 33349.9086 15.9366160 33349.9454 15.9510042 33350.7527 16.26744032831 3 1 2011 33351.1197 16.4116937 33351.5601 16.6132462 33352.3307 16.96684632831 3 1 2012 33352.3674 16.9864321 33353.1747 17.4183356 33353.5417 17.61518572831 3 1 2013 33353.9086 17.8434260 33354.5692 18.2552602 33354.7526 18.36984652831 3 1 2014 33355.2297 18.7119245 33355.8536 19.1601615 33355.8903 19.19009972831 3 1 2015 33356.5508 19.7299184 33356.9545 20.0605078 33357.2114 20.29809992831 3 1 2016 33357.8719 20.9100714 33358.0554 21.0804104 33358.5324 21.57734032831 3 1 2017 33359.1562 22.2282994 33359.1563 22.2284039 33360.0369 23.25432482831 3 1 2018 33360.2572 23.5115346 33360.9177 24.3638583 33361.3581 24.93327442831 3 1 2019 33361.7984 25.5568549 33362.4590 26.4940855 33362.6791 26.83275992831 3 1 2020 33363.5598 28.1900353 33363.5599 28.1901896 33364.4406 29.66341672831 3 1 2021 33365.0278 30.6471373 33365.7617 31.9684494 33366.4956 33.29165662831 3 1 2022 33367.4497 35.1124627 33370.6791 41.2792853 33371.1928 42.25897462831 3 1 2023 33372.0002 43.7078524 33372.6607 44.8907849 33373.2625 45.86980662831 3 1 2024 33373.9818 47.0365806 33374.4661 47.7180467 33375.3028 48.89067652831 3 1 2025 33375.5964 49.2342847 33376.3010 50.0545477 33376.6533 50.38444382831 3 1 2026 33377.2991 50.9853745 33377.4753 51.1014770 33378.3560 51.67675952831 3 1 2027 33378.4734 51.7527217 33379.2368 52.0080684 33379.6477 52.14320572831 3 1 2028 33379.9178 52.1711952 33380.1174 52.1906746 33380.9072 52.08882362831 3 1 2029 33381.2917 52.0367070 33381.7615 51.8236157 33382.4660 51.49956182831 3 1 2030 33382.7596 51.2705919 33383.5816 50.6246375 33383.7872 50.46192162831 3 1 2031 33384.6092 49.5812816 33384.8587 49.3128531 33385.2257 48.83075632831 3 1 2032 33386.1211 47.6505767 33386.4587 47.1313409 33387.4863 45.54572232831 3 1 2033 33387.7798 45.0415400 33388.9541 43.0195318 33389.4679 42.06877332831 3 1 2034 33392.9908 35.5419454 33394.0183 33.6402282 33394.4220 32.93492762831 3 1 2035 33395.3761 31.2701480 33395.4128 31.2061934 33396.3669 29.65332302831 3 1 2036 33396.8073 28.9376826 33397.3944 28.0631590 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