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 1.50000E+3 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 1500.00000 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 18066 32831 1451 497 3 2 5153 32831 1451 498 3 3 13230 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 13170 42831 1451 517 3 103 12 12831 1451 518 3 104 12 12831 1451 519 3 107 122 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 30812.3622 19.4601866 30885.4379 19.0383277 30958.5136 18.61648532831 3 1 1836 31007.2307 18.3755681 31104.6650 17.8937499 31153.3822 17.65285022831 3 1 1837 31202.0993 17.4464972 31299.5336 17.0338073 31348.2507 16.82746992831 3 1 1838 31396.9678 16.6492454 31494.4021 16.2928089 31543.1193 16.11459632831 3 1 1839 31591.8364 15.9610488 31689.2707 15.6539644 31786.7049 15.34689082831 3 1 1840 31884.1392 15.0847005 31981.5735 14.8225214 32030.2907 14.69143892831 3 1 1841 32103.3664 14.5217741 32192.4335 14.3149967 32208.4250 14.27787292831 3 1 1842 32280.3868 14.1108243 32304.3740 14.0551462 32331.0265 14.00255322831 3 1 1843 32384.3315 13.8973787 32432.3060 13.8027357 32474.9500 13.71862312831 3 1 1844 32506.9330 13.6555504 32538.9160 13.5924911 32560.2380 13.55046072831 3 1 1845 32581.5600 13.5084393 32602.8820 13.4738492 32624.2040 13.43927232831 3 1 1846 32645.5260 13.4047112 32661.5175 13.3788035 32677.5090 13.35290992831 3 1 1847 32693.5005 13.3270329 32709.4920 13.3011762 32720.1530 13.28395182831 3 1 1848 32730.8140 13.2667402 32741.4750 13.2495434 32752.1360 13.23236392831 3 1 1849 32760.7981 13.2240340 32769.4602 13.2157194 32778.1223 13.20742242831 3 1 1850 32786.7843 13.1991459 32795.4464 13.1908934 32804.1084 13.18266952831 3 1 1851 32812.7705 13.1744791 32819.2670 13.1683623 32827.4294 13.16071392831 3 1 1852 32833.4262 13.1551252 32839.4230 13.1495667 32845.4198 13.14404292831 3 1 1853 32848.0850 13.1416058 32851.4166 13.1413462 32857.4134 13.14092582831 3 1 1854 32858.7460 13.1408430 32861.9110 13.1434399 32866.4086 13.14716512831 3 1 1855 32871.2394 13.1512109 32876.7365 13.1558798 32880.4012 13.15903682831 3 1 1856 32884.0659 13.1622348 32887.7307 13.1654791 32890.7290 13.16817622831 3 1 1857 32891.3954 13.1705209 32895.0601 13.1834742 32898.7248 13.19649582831 3 1 1858 32901.7232 13.2072078 32904.7216 13.2179790 32907.7200 13.22881702831 3 1 1859 32910.7184 13.2397309 32913.7168 13.2507313 32916.7152 13.26183082831 3 1 1860 32917.3815 13.2643227 32919.7136 13.2849823 32922.7120 13.31167682831 3 1 1861 32924.8442 13.3307519 32926.9764 13.3499144 32929.1086 13.36917502831 3 1 1862 32931.2408 13.3885464 32933.3730 13.4080437 32934.1726 13.41540922831 3 1 1863 32935.5052 13.4375818 32937.6374 13.4732232 32939.7696 13.50905452831 3 1 1864 32941.5021 13.5383297 32943.2345 13.5677685 32943.7675 13.57688392831 3 1 1865 32944.9669 13.6100173 32946.6993 13.6580923 32948.4317 13.70641912831 3 1 1866 32950.1641 13.7550400 32951.4634 13.7917296 32951.7633 13.80024932831 3 1 1867 32952.7627 13.8439338 32954.2953 13.9112528 32955.6279 13.97012192831 3 1 1868 32956.9605 14.0293552 32957.0938 14.0353229 32958.2931 14.11226342831 3 1 1869 32959.2926 14.1767085 32960.2921 14.2414701 32961.0916 14.29355962831 3 1 1870 32961.2916 14.3109956 32962.2910 14.3985298 32963.2905 14.48653452831 3 1 1871 32963.7569 14.5278454 32964.2899 14.5888381 32965.3560 14.71149462831 3 1 1872 32966.1556 14.8039950 32966.4221 14.8349862 32966.9552 14.91624002831 3 1 1873 32967.7548 15.0386496 32968.5543 15.1616368 32969.0874 15.24408002831 3 1 1874 32969.3539 15.2966278 32970.1535 15.4550122 32970.9531 15.61419032831 3 1 1875 32971.0863 15.6408519 32971.7526 15.8056120 32972.5522 16.00428792831 3 1 1876 32973.0853 16.1374107 32973.2852 16.1990155 32973.9848 16.41549852831 3 1 1877 32974.6844 16.6329078 32975.0842 16.7577178 32975.3841 16.86874352831 3 1 1878 32976.0837 17.1288026 32976.4168 17.2531623 32976.7834 17.41114792831 3 1 1879 32977.4830 17.7138389 32977.9494 17.9164790 32978.1826 18.03503842831 3 1 1880 32978.8822 18.3920545 32979.5818 18.7504752 32979.6818 18.80191732831 3 1 1881 32980.2814 19.1558246 32980.9478 19.5505804 32980.9811 19.57039642831 3 1 1882 32981.9473 20.2130330 32982.2804 20.4357043 32982.9467 20.93009482831 3 1 1883 32983.5797 21.4019718 32983.9462 21.7078875 32984.9456 22.54560712831 3 1 1884 32985.3455 22.8822034 32985.9118 23.4098519 32986.6781 24.12634792831 3 1 1885 32986.8113 24.2631308 32988.0107 25.4990441 32988.6770 26.18815822831 3 1 1886 32989.2101 26.7908632 32990.4094 28.1508185 32990.6760 28.45405712831 3 1 1887 32992.2751 30.4066935 32994.0075 32.5267462 32996.5395 35.63946762831 3 1 1888 32997.2724 36.5384578 32998.0054 37.3641899 32999.3380 38.85996442831 3 1 1889 32999.4713 39.0088819 33000.6040 40.1051254 33001.4303 40.89961062831 3 1 1890 33001.8034 41.2006457 33002.6829 41.9040196 33002.9494 42.07268082831 3 1 1891 33004.0422 42.7559032 33004.3220 42.9283781 33005.2815 43.32232832831 3 1 1892 33005.8679 43.5572593 33006.5075 43.6732053 33007.4670 43.83826662831 3 1 1893 33007.4776 43.8385921 33007.8348 43.8471572 33008.0746 43.82518872831 3 1 1894 33009.0661 43.7271115 33009.1728 43.6990251 33010.1322 43.43762612831 3 1 1895 33010.2389 43.3897426 33011.3050 42.9018930 33011.6247 42.75290802831 3 1 1896 33012.3711 42.2538214 33013.3039 41.6226499 33013.4772 41.47680052831 3 1 1897 33014.5299 40.5829432 33014.6232 40.4896132 33015.7959 39.30858032831 3 1 1898 33016.5288 38.5661913 33016.9953 38.0285629 33018.3945 36.40899252831 3 1 1899 33018.5278 36.2540815 33020.7932 33.4159314 33024.0582 29.32060852831 3 1 1900 33024.6579 28.5700597 33025.5907 27.4728751 33026.6568 26.22274982831 3 1 1901 33027.1899 25.6480663 33028.2560 24.5028523 33028.6557 24.07494022831 3 1 1902 33029.4554 23.2927168 33029.9884 22.7733548 33030.4549 22.35562482831 3 1 1903 33031.3210 21.5831045 33031.4543 21.4748969 33032.4538 20.66707742831 3 1 1904 33032.6536 20.5062963 33033.4532 19.9261445 33033.9862 19.54095852831 3 1 1905 33034.1195 19.4545494 33034.9857 18.8952861 33035.2522 18.72397212831 3 1 1906 33035.8519 18.3786037 33036.4516 18.0348571 33036.7181 17.90211692831 3 1 1907 33037.5843 17.4729022 33038.2507 17.1443111 33038.4505 17.06189712831 3 1 1908 33039.3167 16.7065813 33040.0497 16.4074657 33040.1829 16.36235922831 3 1 1909 33041.0491 16.0707451 33041.8487 15.8029602 33042.6483 15.58322212831 3 1 1910 33043.4479 15.3646353 33043.6478 15.3102531 33044.2474 15.17710552831 3 1 1911 33045.0470 15.0005154 33045.5801 14.8833722 33045.8466 14.83442502831 3 1 1912 33046.6462 14.6883730 33046.9127 14.6399399 33047.4457 14.56164662831 3 1 1913 33048.2453 14.4448589 33049.0449 14.3286755 33049.5779 14.25160832831 3 1 1914 33049.9111 14.2151694 33050.9106 14.1065746 33051.9101 13.99865442831 3 1 1915 33052.2432 13.9628859 33052.9095 13.9079545 33053.9090 13.82607512831 3 1 1916 33054.9084 13.7446633 33055.9080 13.6863932 33056.9074 13.62849132831 3 1 1917 33058.2400 13.5517686 33059.5726 13.4755224 33059.7059 13.46793302831 3 1 1918 33060.6721 13.4301601 33061.9714 13.3796772 33063.2707 13.32948922831 3 1 1919 33064.5033 13.2821209 33064.5700 13.2804128 33065.4362 13.25835762831 3 1 1920 33067.1686 13.2145136 33068.9010 13.1709796 33070.6334 13.12771032831 3 1 1921 33072.3658 13.0846690 33072.7656 13.0747816 33074.0982 13.05404982831 3 1 1922 33075.8973 13.0262429 33077.6964 12.9985989 33078.8957 12.98025182831 3 1 1923 33081.2944 12.9437270 33082.8936 12.9195095 33083.6931 12.91236292831 3 1 1924 33086.0919 12.8910923 33088.4906 12.8699714 33090.8893 12.84898022831 3 1 1925 33093.2880 12.8281024 33096.2865 12.8021431 33099.2849 12.77631862831 3 1 1926 33101.2838 12.7591797 33102.2833 12.7545419 33105.2817 12.74072932831 3 1 1927 33108.2801 12.7270046 33111.2785 12.7133569 33114.2769 12.69977732831 3 1 1928 33118.3581 12.6813893 33121.6064 12.6668229 33125.9374 12.64748382831 3 1 1929 33130.2684 12.6282265 33130.6015 12.6267508 33134.5994 12.61681112831 3 1 1930 33138.9305 12.6061044 33143.2615 12.5954517 33147.5925 12.58484632831 3 1 1931 33151.9235 12.5742829 33157.3426 12.5611181 33162.7616 12.54800522831 3 1 1932 33168.1807 12.5349380 33173.5997 12.5219123 33175.2240 12.51801922831 3 1 1933 33179.0187 12.5128683 33184.4377 12.5055470 33191.6631 12.49583472831 3 1 1934 33198.8885 12.4861758 33206.1139 12.4765683 33211.9284 12.46887402831 3 1 1935 33218.5338 12.4601740 33224.4053 12.4524786 33228.8089 12.44673562831 3 1 1936 33230.2768 12.4462406 33236.1483 12.4443020 33242.0198 12.44240882831 3 1 1937 33247.8913 12.4405668 33252.2950 12.4392235 33253.7628 12.43878822831 3 1 1938 33256.6986 12.4429281 33261.4692 12.4497032 33265.1389 12.45495352831 3 1 1939 33268.8086 12.4602422 33272.4783 12.4655744 33276.1480 12.47095642831 3 1 1940 33279.8177 12.4763956 33283.1203 12.4813505 33283.4874 12.48333702831 3 1 1941 33287.1570 12.5032725 33290.4230 12.5210919 33293.2854 12.53677832831 3 1 1942 33296.1477 12.5525390 33299.0101 12.5683870 33301.1752 12.58045102831 3 1 1943 33301.8724 12.5885106 33304.0192 12.6134050 33306.1659 12.63837432831 3 1 1944 33308.3127 12.6634320 33310.4595 12.6885898 33311.5971 12.70198632831 3 1 1945 33312.8448 12.7259143 33314.7530 12.7626301 33316.6613 12.79947352831 3 1 1946 33318.2025 12.8293474 33318.5695 12.8404078 33320.4778 12.89809072831 3 1 1947 33321.9090 12.9414835 33323.3401 12.9850039 33324.7713 13.02867732831 3 1 1948 33324.8079 13.0297986 33326.2024 13.0944879 33327.1565 13.13885772831 3 1 1949 33328.4776 13.2004607 33329.2116 13.2348099 33329.7987 13.27246452831 3 1 1950 33331.1198 13.3574524 33332.1107 13.4213927 33332.1473 13.42376142831 3 1 1951 33333.1015 13.5054430 33334.0923 13.5904719 33335.0831 13.67574282831 3 1 1952 33336.0740 13.7911973 33337.0647 13.9069370 33338.0188 14.01872972831 3 1 1953 33338.8995 14.1547501 33339.7803 14.2911296 33340.2207 14.35951032831 3 1 1954 33340.6610 14.4466198 33341.5417 14.6212816 33342.4224 14.79641142831 3 1 1955 33343.3032 15.0112963 33343.8903 15.1549072 33344.1839 15.23934892831 3 1 1956 33345.0646 15.4932685 33345.3582 15.5781450 33345.9453 15.77725132831 3 1 1957 33346.8261 16.0767032 33347.5233 16.3544584 33348.2939 16.66209522831 3 1 1958 33348.3307 16.6793249 33349.1380 17.0580684 33349.9086 17.42037232831 3 1 1959 33349.9454 17.4406700 33350.7527 17.8868128 33351.5233 18.31354132831 3 1 1960 33351.5601 18.3368027 33352.3674 18.8480530 33352.7344 19.08091852831 3 1 1961 33353.1747 19.3919939 33353.9086 19.9113879 33353.9453 19.93741232831 3 1 1962 33354.8994 20.6960250 33355.4866 21.1638704 33355.8903 21.52465552831 3 1 1963 33356.8811 22.4117612 33356.9545 22.4775997 33357.8719 23.38754422831 3 1 1964 33358.4224 23.9344524 33358.8626 24.4121641 33359.8902 25.52904852831 3 1 1965 33360.0369 25.7009072 33361.2112 27.0785611 33361.3581 27.25116122831 3 1 1966 33362.9727 29.2904599 33363.5599 30.0331186 33365.3213 32.39200752831 3 1 1967 33368.5506 36.7177734 33368.9176 37.2087624 33370.0185 38.58727232831 3 1 1968 33371.1928 40.0552209 33371.3396 40.2201288 33372.6607 41.70060332831 3 1 1969 33373.8643 42.8895472 33373.9818 43.0051950 33375.0679 43.91390062831 3 1 1970 33375.3028 44.1095480 33376.1248 44.6458710 33376.8001 45.08389202831 3 1 1971 33377.1817 45.2621484 33377.8863 45.5882670 33378.3560 45.72644422831 3 1 1972 33379.0606 45.9304188 33379.5303 45.9857730 33379.9178 46.03021012831 3 1 1973 33380.1174 46.0524309 33381.1743 45.9867330 33381.2917 45.97886112831 3 1 1974 33382.3486 45.7169143 33382.4660 45.6872690 33383.5816 45.19847022831 3 1 1975 33383.7872 45.1075348 33384.6092 44.6057811 33384.8587 44.45253302831 3 1 1976 33385.8422 43.7003349 33386.1211 43.4859717 33387.1193 42.56824512831 3 1 1977 33387.4863 42.2296062 33388.4404 41.2186876 33388.9541 40.67295552831 3 1 1978 33389.8349 39.6207794 33391.1559 38.0393987 33392.0366 36.89734072831 3 1 1979 33396.3669 31.2762799 33397.5045 29.8012153 33397.9081 29.31347432831 3 1 1980 33399.4494 27.4534922 33399.6696 27.1881691 33400.6237 26.12403072831 3 1 1981 33401.1375 25.5518127 33401.6145 25.0605781 33402.6053 24.04177692831 3 1 1982 33402.6054 24.0416742 33403.5962 23.1127868 33404.0732 22.66637812831 3 1 1983 33404.5870 22.2321746 33405.5411 21.4275009 33405.6512 21.34449202831 3 1 1984 33406.4586 20.7369869 33407.0090 20.3235569 33407.2659 20.15261302831 3 1 1985 33408.0732 19.6164261 33408.4769 19.3487800 33408.8805 19.11360542831 3 1 1986 33409.6879 18.6440592 33409.9447 18.4949943 33410.4952 18.21507002831 3 1 1987 33411.3025 17.8053921 33411.3392 17.7868058 33412.2199 17.39673072831 3 1 1988 33412.7337 17.1696440 33412.9906 17.0707018 33413.7612 16.77452972831 3 1 1989 33414.1282 16.6337507 33414.5319 16.5037120 33415.3025 16.25602232831 3 1 1990 33416.0731 16.0088270 33416.2199 15.9618230 33416.8437 15.80045942831 3 1 1991 33417.6144 15.6015168 33418.3116 15.4218968 33418.3850 15.40660162831 3 1 1992 33419.1556 15.2463769 33419.9262 15.0864771 33420.4033 14.98768692831 3 1 1993 33420.9171 14.9015743 33421.9079 14.7359533 33422.5684 14.62580312831 3 1 1994 33422.8987 14.5825324 33423.8895 14.4530768 33424.8804 14.32391242831 3 1 1995 33425.5042 14.2427692 33425.8712 14.2060323 33426.8620 14.10709132831 3 1 1996 33427.8528 14.0083616 33428.4399 13.9499871 33429.1739 13.89549722831 3 1 1997 33430.4949 13.7977152 33431.7060 13.7082835 33432.8435 13.62445462831 3 1 1998 33432.9170 13.6206361 33433.7243 13.5787837 33435.3390 13.49525912831 3 1 1999 33436.9536 13.4119546 33438.5683 13.3288279 33440.1829 13.26954662831 3 1 2000 33441.7976 13.2103969 33443.4122 13.1513681 33444.2930 13.11922962831 3 1 2001 33445.4673 13.0894084 33447.5223 13.0373634 33449.5773 12.98543962831 3 1 2002 33451.6323 12.9336203 33453.6874 12.8818895 33453.8342 12.87820002831 3 1 2003 33455.7424 12.8464207 33457.7974 12.8122665 33459.8524 12.77817412831 3 1 2004 33462.7148 12.7307769 33465.2836 12.6883228 33465.5772 12.68530262831 3 1 2005 33468.4396 12.6559355 33471.3019 12.6266368 33474.1643 12.59739552831 3 1 2006 33477.0266 12.5682065 33479.8890 12.5390613 33482.7513 12.50995672831 3 1 2007 33485.6871 12.4801454 33486.4210 12.4756850 33490.0907 12.45343142831 3 1 2008 33493.7604 12.4312210 33497.4301 12.4090480 33501.0998 12.38690782831 3 1 2009 33504.7695 12.3647965 33510.2740 12.3316767 33511.3749 12.32506192831 3 1 2010 33515.2281 12.3102453 33519.9070 12.2922843 33524.5858 12.27434942831 3 1 2011 33530.8243 12.2504701 33537.0627 12.2266246 33543.3012 12.20280722831 3 1 2012 33544.4020 12.1986089 33549.5396 12.1857027 33555.7781 12.17005182831 3 1 2013 33564.4018 12.1484462 33571.5577 12.1305399 33578.7136 12.11265052831 3 1 2014 33585.8695 12.0947756 33595.4107 12.0709619 33603.1170 12.05174312831 3 1 2015 33604.9519 12.0487104 33614.4931 12.0329563 33624.0343 12.01721532831 3 1 2016 33638.3460 11.9936247 33650.0890 11.9742838 33661.8320 11.95495452831 3 1 2017 33679.4465 11.9259787 33697.0610 11.8970204 33714.6755 11.86807622831 3 1 2018 33732.2900 11.8391434 33749.9045 11.8102213 33755.7760 11.80297542831 3 1 2019 33779.2620 11.7740050 33802.7480 11.7450449 33826.2340 11.71609292831 3 1 2020 33861.4630 11.6726773 33896.6920 11.6292733 33934.8568 11.58226242831 3 1 2021 33978.8930 11.5280293 34022.9293 11.4738040 34055.2225 11.43404352831 3 1 2022 34066.9655 11.4219736 34125.6805 11.3616319 34202.0100 11.28319702831 3 1 2023 34274.9167 11.2082870 34352.7208 11.1283509 34437.8710 11.04087332831 3 1 2024 34523.0212 10.9533990 34636.5548 10.8538203 34750.0884 10.75424602831 3 1 2025 34920.3888 10.6048907 35090.6892 10.4555411 35204.2228 10.36845942831 3 1 2026 35431.2900 10.1943015 35658.3572 10.0201480 35885.4244 9.868846722831 3 1 2027 36226.0252 9.64190001 36453.0924 9.49060513 36566.6260 9.424501802831 3 1 2028 36907.2268 9.22619621 37247.8276 9.02789392 37361.3612 8.961794502831 3 1 2029 37588.4284 8.84393016 37815.4956 8.72606810 38087.8575 8.584698242831 3 1 2030 38296.3197 8.47649951 38345.9536 8.45073852 38484.9283 8.378610142831 3 1 2031 38604.0496 8.31678934 38683.4637 8.27557822 38723.1708 8.254973562831 3 1 2032 38802.5849 8.21573942 38862.1455 8.18631754 38921.7061 8.156900372831 3 1 2033 38971.3400 8.13239121 39008.5654 8.11401331 39045.7908 8.095640502831 3 1 2034 39070.6077 8.08339562 39095.4246 8.07115441 39120.2415 8.058917832831 3 1 2035 39144.2020 8.04710911 39162.1724 8.03825705 39180.1428 8.029409642831 3 1 2036 39198.1132 8.02056822 39216.0835 8.01173422 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