28-Ni- 60 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 28060.0000 59.4160000 2 0 0 42831 1451 1 0.0 0.0 0 0 0 62831 1451 2 1.00000000 150000000. 8 0 10 72831 1451 3 900.000000 0.0 1 0 514 692831 1451 4 28-Ni- 60 LANL,ORNL EVAL-SEP97 S.Chiba,M.B.Chadwick,Larson 2831 1451 5 CH97,CH99 DIST-DEC06 REV3- 20011108 2831 1451 6 ----ENDF/B-VII MATERIAL 2831 REVISION 3 2831 1451 7 -----INCIDENT NEUTRON DATA 2831 1451 8 ------ENDF-6 FORMAT 2831 1451 9 2831 1451 10 Oct 22,2004, Holly Trellue remade mf6mt5 using corrected gnash 2831 1451 11 code, to fix an earlier bug. Impact is reduced sec. particle prod.2831 1451 12 for new ENDF/B-VII release 2831 1451 13 ******************************************************************2831 1451 14 2831 1451 15 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2831 1451 16 P.G. Young (LANL) 2831 1451 17 2831 1451 18 The secondary gamma-ray spectrum for radiative capture (MF 12, 2831 1451 19 MT 102) has been updated for new experimental data at incident 2831 1451 20 neutron energies up to 1 keV. 2831 1451 21 The Q-value for radiative capture was also updated in File 3. 2831 1451 22 Details of these changes are described in Frankel et al. [Fr01]. 2831 1451 23 2831 1451 24 **************************************************************** 2831 1451 25 2831 1451 26 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2831 1451 27 M.B. Chadwick, P.G. Young (LANL), and 2831 1451 28 A.J. Koning (ECN) 2831 1451 29 2831 1451 30 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2831 1451 31 in cooperation with ECN Petten. 2831 1451 32 2831 1451 33 This evaluation provides a complete representation of the 2831 1451 34 nuclear data needed for transport, damage, heating, 2831 1451 35 radioactivity, and shielding applications over the incident 2831 1451 36 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2831 1451 37 here is divided into the region below and above 20 MeV. 2831 1451 38 2831 1451 39 INCIDENT NEUTRON ENERGIES < 20 MeV 2831 1451 40 2831 1451 41 Below 20 MeV the evaluation is based completely on the ENDF/B- 2831 1451 42 VI.5(Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, and 2831 1451 43 Fu. 2831 1451 44 2831 1451 45 INCIDENT NEUTRON ENERGIES > 20 MeV 2831 1451 46 2831 1451 47 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2831 1451 48 includes cross sections and energy-angle data for all 2831 1451 49 significant reactions. The present evaluation utilizes a more 2831 1451 50 compact composite reaction spectrum representation above 20 MeV 2831 1451 51 in order to reduce the length of the file. No essential data for 2831 1451 52 applications is lost with this representation. 2831 1451 53 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2831 1451 54 all reaction data. Production cross sections and emission 2831 1451 55 spectra are given for neutrons, protons, deuterons, tritons, 2831 1451 56 alpha particles, gamma rays, and all residual nuclides produced 2831 1451 57 (A>5) in the reaction chains. To summarize, the ENDF sections 2831 1451 58 with non-zero data above En = 20 MeV are: 2831 1451 59 2831 1451 60 MF=3 MT= 1 Total Cross Section 2831 1451 61 MT= 2 Elastic Scattering Cross Section 2831 1451 62 MT= 3 Nonelastic Cross Section 2831 1451 63 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2831 1451 64 2831 1451 65 MF=4 MT= 2 Elastic Angular Distributions 2831 1451 66 2831 1451 67 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2831 1451 68 Distributions for Emission Neutrons, Protons, 2831 1451 69 Deuterons, Tritons, and Alphas; and Angle- 2831 1451 70 Integrated Spectra for Gamma Rays and Residual 2831 1451 71 Nuclei That Are Stable Against Particle Emission 2831 1451 72 2831 1451 73 The evaluation is based on nuclear model calculations that 2831 1451 74 have been benchmarked to experimental data, especially for n + 2831 1451 75 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2831 1451 76 [Yo92], which utilizes Hauser-Feshbach statistical, 2831 1451 77 preequilibrium and direct-reaction theories. Spherical optical 2831 1451 78 model calculations are used to obtain particle transmission 2831 1451 79 coefficients for the Hauser-Feshbach calculations, as well as 2831 1451 80 for the elastic neutron angular distributions. 2831 1451 81 Cross sections and spectra for producing individual residual 2831 1451 82 nuclei are included for reactions. The energy-angle-correlations 2831 1451 83 for all outgoing particles are based on Kalbach systematics 2831 1451 84 [Ka88]. 2831 1451 85 A model was developed to calculate the energy distributions of 2831 1451 86 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2831 1451 87 energy distributions are represented in the laboratory system in 2831 1451 88 MT=5, MF=6, and are given as isotropic in the lab system. All 2831 1451 89 other data in MT=5,MF=6 are given in the center-of-mass system. 2831 1451 90 This method of representation utilizes the LCT=3 option approved 2831 1451 91 at the November, 1996, CSEWG meeting. 2831 1451 92 Preequilibrium corrections were performed in the course of the 2831 1451 93 GNASH calculations using the exciton model of Kalbach [Ka77, 2831 1451 94 Ka85], validated by comparison with calculations using Feshbach, 2831 1451 95 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2831 1451 96 nuclear data sheets were matched to continuum level densities 2831 1451 97 using the formulation of Gilbert and Cameron [Gi65] and pairing 2831 1451 98 and shell parameters from the Cook [Co67] analysis. Neutron and 2831 1451 99 charged- particle transmission coefficients were obtained from 2831 1451 100 the optical potentials, as discussed below. Gamma-ray 2831 1451 101 transmission coefficients were calculated using the Kopecky-Uhl 2831 1451 102 model [Ko90]. 2831 1451 103 2831 1451 104 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2831 1451 105 2831 1451 106 The neutron total cross section was evaluated based on the 2831 1451 107 least-squares method taking account of the experimental 2831 1451 108 data [Du67, Bo71, St71, Sm79, Fe80, Pe82, Ha82a, Di97]. The data 2831 1451 109 for natural Ni [Di97] was also used because there was not enough 2831 1451 110 data for Ni-60 above 20 MeV. The data for natural Ni were 2831 1451 111 transformed to the Ni-60 cross section according to A*(2/3) law. 2831 1451 112 Result of this estimation was used as the evaluated total cross 2831 1451 113 section data above 20 MeV. 2831 1451 114 2831 1451 115 The evaluated total cross section data (1 to 250 MeV), s-wave 2831 1451 116 strength function [Mu81] and elastic scattering angular 2831 1451 117 distribution data [Bo71, Gu85, Tu73, Ya79] were used to obtain the2831 1451 118 neutron optical potential parameters. The parameter estimation was2831 1451 119 carried out based on Marquart-Bayesian approach [Sm91], where 2831 1451 120 ECIS95 code [Ra96] was used for the optical model calculation. We2831 1451 121 have employed the energy dependence of the optical potential 2831 1451 122 similar to Delaroche's work [De89]. The initial potential 2831 1451 123 parameters were adopted from Koning and Delaroche [Ko97]. A total2831 1451 124 of 7 parameters concerning the central potential depth were 2831 1451 125 estimated with associated covariance matrix, while the geometrical2831 1451 126 parameters were fixed to the result of a similar search for n + 2831 1451 127 Ni-58. Presently obtained potential was used for the calculation 2831 1451 128 of neutron transmission coefficients and DWBA cross sections in 2831 1451 129 the energy region above 20 MeV. Below 20 MeV, the Harper neutron 2831 1451 130 potential [Ha82b] was used for the calculation of transmission 2831 1451 131 coefficients. 2831 1451 132 2831 1451 133 The proton optical potential was also searched to obtain a good 2831 1451 134 description of proton-total reaction cross section as predicted by2831 1451 135 Wellisch-Axen systematic [We96] above 50 MeV. The parameter 2831 1451 136 estimation was carried out by the Marquart-Bayesian approach 2831 1451 137 similar to the neutron OMP, but trying to seek the best parameter 2831 1451 138 to reproduce the reaction cross sections compiled by Carlson 2831 1451 139 [Ca96] and Wellisch values. The experimental data in Carlson 2831 1451 140 [Ca96] was scaled for Ni-60 according to A**(2/3) law. In this 2831 1451 141 search, the geometrical parameters were fixed to be same as the 2831 1451 142 neutron potential. The present potential gives a good description2831 1451 143 of the proton total reaction cross section from 10 MeV to 250 MeV.2831 1451 144 However, after some trial and error to reproduce both the elastic 2831 1451 145 scattering and reaction cross section data for Ni-58, we have 2831 1451 146 employed the following combination of proton potentials: 2831 1451 147 2831 1451 148 0 to 5 MeV : Harper potential [Ha82b] 2831 1451 149 6 to 47 MeV : Koning and Delaroche [Ko97] 2831 1451 150 48 to 260 MeV : Present OMP 2831 1451 151 2831 1451 152 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2831 1451 153 for alpha particles the McFadden-Satchler [Mc66] potential was 2831 1451 154 used; and for tritons the Becchetti-Greenlees [Be71] potential was2831 1451 155 used. The He-3 channel was ignored. 2831 1451 156 2831 1451 157 The direct collective inelastic scattering to the following level 2831 1451 158 in Ni-60 was considered by the DWBA-mode calculation of ECIS95 2831 1451 159 [Ra96]: 2831 1451 160 2831 1451 161 Jpi Ex(MeV) Deformation length 2831 1451 162 2+ 1.331 0.8535 2831 1451 163 2831 1451 164 The deformation length was determined to much the ENDF/B-VI value 2831 1451 165 at 20 MeV. 2831 1451 166 2831 1451 167 Certain nuclear level densities were modified from the default 2831 1451 168 values in accordance with experimental level-density information 2831 1451 169 as follows. The level density of 57Fe was matched to the observed 2831 1451 170 D-0 value by modifying the pairing energy to 0.15 MeV; the level 2831 1451 171 density of the main competition channel, neutron emission to 60Ni,2831 1451 172 was adjusted to match Fischer et al.'s [Fi86] value of 3.85e3+-25%2831 1451 173 at 11 MeV excitation energy, but then increased slightly (a total 2831 1451 174 density increase of 11%) by using a pairing energy of 1.1 MeV, 2831 1451 175 since Haight's alpha production at 14 MeV is approx. 11% smaller 2831 1451 176 than Fischer et al.'s measurements. Production of residual nuclei 2831 1451 177 59Ni and 56Fe, through (n,2n) and (n,na) reactions, become 2831 1451 178 particularly important above 14 MeV. Pairing energies were 2831 1451 179 adjusted to match the level density for 59Ni at the neutron 2831 1451 180 binding energy (D0=12.9 keV), and Fischer et al.'s result for the 2831 1451 181 56Fe level density at 11 MeV. 2831 1451 182 2831 1451 183 The new Haight et al. [Ha97] LANL/WNR 60Ni(n,x alpha) data up to 2831 1451 184 50 MeV was used to benchmark our model calculations [Ch97] - 2831 1451 185 agreement with experiment was good. 2831 1451 186 2831 1451 187 **************************************************************** 2831 1451 188 2831 1451 189 REFERENCES 2831 1451 190 2831 1451 191 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2831 1451 192 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2831 1451 193 Barschall and W. Haeberli, The University of Wisconsin Press, 2831 1451 194 1971) p.682 2831 1451 195 [Bo71] P. Boschung et al, Nucl.Phys. A161, 593 (1971) 2831 1451 196 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2831 1451 197 93 (1996) 2831 1451 198 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2831 1451 199 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2831 1451 200 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2831 1451 201 Driven Technologies: Calculational Method for Heavy Recoils," 2831 1451 202 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2831 1451 203 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2831 1451 204 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2831 1451 205 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2831 1451 206 September 1997, internal Los Alamos National Laboratory memo T-2831 1451 207 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2831 1451 208 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 2831 1451 209 National Laboratory report, LA-UR-99-1222 (1999) 2831 1451 210 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2831 1451 211 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2831 1451 212 Phys. 20, 477 (1967) 2831 1451 213 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2831 1451 214 391 (1989) 2831 1451 215 [Di97] F. Dietrich et al., private communication (1997). 2831 1451 216 [Du67] Yu.V. Dukarevich et al., Nucl.Phys. A92, 433 (1967) 2831 1451 217 [Fe80] M.B. Fedorov et al., 80Kiev, 1, 309(1980) 2831 1451 218 [Fi86] R. Fischer, G. Traxler, M. Uhl at al., Phys Rev C34, 460 2831 1451 219 (1986) 2831 1451 220 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2831 1451 221 National Laboratory Report, LA-13812 (2001). 2831 1451 222 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2831 1451 223 densities of three formalisms on calculated cross sections", 2831 1451 224 personal communication, 1996 (to be published by the IAEA). 2831 1451 225 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2831 1451 226 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2831 1451 227 [Ha82a] J.A. Harvey et al, 82Anterp (1982) p. 856 2831 1451 228 [Ha82b] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2831 1451 229 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2831 1451 230 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2831 1451 231 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2831 1451 232 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2831 1451 233 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2831 1451 234 LA-10248-MS (1985) 2831 1451 235 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2831 1451 236 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2831 1451 237 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2831 1451 238 [Ko97] A. Koning and J.P. Delaroche, private communication. 2831 1451 239 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2831 1451 240 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2831 1451 241 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2831 1451 242 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2831 1451 243 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2831 1451 244 [Pe73] F.G. Perey, private communication (1973) [EXFOR 10342] 2831 1451 245 [Pe82] C.M. Perey et al, report ORNL-5893 (1982) 2831 1451 246 [Pe88] Pedroni et al, Phys.Rev.C 38, 2052 (1988) 2831 1451 247 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2831 1451 248 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2831 1451 249 51363, p.249(1981). 2831 1451 250 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2831 1451 251 Theorique, Saclay, France (personal communication through A. J.2831 1451 252 Koning, 1996). 2831 1451 253 [Sc73] W. Schimmerling et al., Phys.Rev.C 7, 248 (1973) 2831 1451 254 [Sm79] A.B. Smith et al., Nucl.Sci.Eng., 72, 293 (1979) 2831 1451 255 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2831 1451 256 in Nuclear Science and Technology" (American Nuclear Society, 2831 1451 257 1991) 2831 1451 258 [Sm92] A.B. Smith et al., J.Phys.G, 18, 629 (1992) 2831 1451 259 [St71] P. Stoler et al,, 71Knox, 1, 311 (1971) 2831 1451 260 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2831 1451 261 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2831 1451 262 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda, et al., Nucl. 2831 1451 263 Phys. A427, 493 (1984) 2831 1451 264 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2831 1451 265 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2831 1451 266 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2831 1451 267 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2831 1451 268 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2831 1451 269 report LA-12343-MS (1992) 2831 1451 270 2831 1451 271 **************************************************************** 2831 1451 272 2831 1451 273 ENDF/B-VI MOD 2 Revision, July 1991, D.C. Larson, C.M. Perey, 2831 1451 274 D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 275 2831 1451 276 REVISION 1 CHANGES 2831 1451 277 The resonance region from 1.E-5 eV to 450 keV has been changed,2831 1451 278 based on a SAMMY analysis by F. G. Perey of new 60Ni ORELA data 2831 1451 279 up to 100 keV of Harvey, Hill and Perey. This new work reproduces2831 1451 280 the thermal cross sections and includes the small resonances 2831 1451 281 inadvertently left out in the original file. No background 2831 1451 282 cross sections are required in file 3 in the resonance region. 2831 1451 283 Removed elastic transformation matrix. 2831 1451 284 2831 1451 285 **************************************************************** 2831 1451 286 2831 1451 287 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2831 1451 288 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 289 2831 1451 290 This work employed nuclear model codes including the 2831 1451 291 Distorted Wave Born Approximation (DWBA) program DWUCK (1) 2831 1451 292 and the Hauser-Feshbach code TNG (2,3,4). The TNG code provides 2831 1451 293 energy and angular distributions of particles emitted in the 2831 1451 294 compound and pre-compound reactions, ensures consistency among 2831 1451 295 all reactions, and maintains energy balance. Details pertinent 2831 1451 296 to the contents of this evaluation and extensive comparisons of 2831 1451 297 calculations with experimental data can be found in Hetrick (5). 2831 1451 298 2831 1451 299 ----- DESCRIPTION OF FILES 2831 1451 300 (MF-MT) 2831 1451 301 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2831 1451 302 2-151 RESONANCE PARAMETERS -- TAKEN FROM REF (6). THE NEGATIVE 2831 1451 303 ENERGY RESONANCES WERE ADJUSTED BY THE AUTHOR, C. M. PEREY2831 1451 304 TO GIVE THE PROPER THERMAL SCATTERING AND CAPTURE. USING 2831 1451 305 THESE MODIFIED RESULTS, NO BACKGROUND IS REQUIRED IN 3/1 2831 1451 306 IE, THE TOTAL, SCATTERING AND CAPTURE IS GIVEN COMPLETELY 2831 1451 307 BY THE RESONANCE PARAMETERS FROM 1.E-5 EV TO 450 KEV. 2831 1451 308 RESONANCE PARAMETERS ARE FROM A REICH-MOORE ANALYSIS WITH 2831 1451 309 THE CODE SAMMY (REF 7). 2831 1451 310 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2831 1451 311 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 3.9 B, 2831 1451 312 ELASTIC SCATTERING 0.98 B, AND CAPTURE 2.92 B. 2831 1451 313 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2831 1451 314 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2831 1451 315 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2831 1451 316 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2831 1451 317 3-1 TOTAL CROSS SECTION -- FROM 450 KEV TO 1611 KEV THE DATA 2831 1451 318 OF REF (8) WERE USED. FROM 1611 KEV TO 20 MEV THE DATA 2831 1451 319 OF REF (9) WERE USED. SEVERAL LOWER RESOLUTION DATA SETS 2831 1451 320 WERE ENERGY-BINNED AND CHECKED WITH BINNED DATA FROM 8,9. 2831 1451 321 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2831 1451 322 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2831 1451 323 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2831 1451 324 3-28, 3-102, 3-103, 3-104, AND 3-107. 2831 1451 325 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2831 1451 326 .., 3-61, AND 3-91 2831 1451 327 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 328 CODE (2,3,4,5), NO 60NI DATA AVAILABLE. 2831 1451 329 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 330 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN A EMISS 2831 1451 331 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 332 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN P EMISS 2831 1451 333 3-51 TO 3-61 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2831 1451 334 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2831 1451 335 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. CALCULATIONS 2831 1451 336 COMPARED WITH EXTENSIVE EXPERIMENTAL DATA (5). 3-51 CROSS2831 1451 337 SECTIONS ABOVE 4.0 MEV ADJUSTED TO BETTER FIT RECENT 2831 1451 338 MEASURED DATA. 2831 1451 339 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2831 1451 340 CALCULATED). 2831 1451 341 3-102 (N,G) CAPTURE CROSS SECTION TAKEN FROM RESONANCE PARAMETER2831 1451 342 FROM 1.E-5 EV TO 450 KEV. TNG CALCULATIONS WERE 2831 1451 343 NORMALIZED TO THE AVERAGED CROSS SECTION OBTAINED FROM THE2831 1451 344 RESONANCE PARAMETERS FROM 100-450 KEV. THESE NORMALIZED 2831 1451 345 TNG RESULTS WERE USED FROM 450 KEV TO 20 MEV. 2831 1451 346 3-103 (N,P) CROSS SECTIONS FOR EN LESS THAN OR EQUAL TO 12 MEV 2831 1451 347 WERE TAKEN FROM A CURVE DRAWN THROUGH THE DATA OF VONACH 2831 1451 348 ET AL. (10). THIS CURVE WAS CONNECTED TO THE ANL DATA OF 2831 1451 349 GREENWOOD (11) FROM 14.5 TO 15.0 MEV. FROM 15.0 TO 20.0 2831 1451 350 MEV THE DATA OF PAULSEN AND LISKIEN (12) WERE USED 2831 1451 351 AS A GUIDE. THE NEW DATA BY VONACH ET AL. (10) 2831 1451 352 RESULT IN AN INTEGRAL VALUE CLOSE TO THE 2.39 VALUE OF 2831 1451 353 MANNHART (13). 2831 1451 354 3-104 (N,D) CROSS SECTION - ENDF/B-V (14) VALUES WERE NORMALIZED2831 1451 355 TO THE DATA OF GRIMES ET AL. (15). 2831 1451 356 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2831 1451 357 TNG CODE (2,3,4,5). LIMITED DATA OTHER THAN A EMISSION. 2831 1451 358 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2831 1451 359 ELASTIC SCATTERING ARE FROM ENDF/B-V. AGREE WELL WITH DATA2831 1451 360 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2831 1451 361 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2831 1451 362 PARAMETERS IN 2/151. 2831 1451 363 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 364 NEUTRON AND 59NI RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 365 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 366 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2831 1451 367 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 368 THE OUTGOING NEUTRON). COMPARES WELL WITH N EMISSION DATA2831 1451 369 WHEN COMBINED WITH N FROM 6/22, 6/28 AND 6/91. 2831 1451 370 6-22 (N,NA)+(N,AN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 371 NEUTRON, ALPHA, AND 56FE RESIDUAL, AND ENERGY DEPENDENT 2831 1451 372 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2831 1451 373 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 374 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2831 1451 375 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2831 1451 376 ALPHA AND RESIDUAL). 2831 1451 377 6-28 (N,NP)+(N,PN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 378 NEUTRON, P, AND 59CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 379 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 380 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2831 1451 381 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 382 THE OUTGOING NEUTRON). 2831 1451 383 6-51 THROUGH 6-61 INELASTIC SCATTERING EXCITING LEVELS; EACH 2831 1451 384 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2831 1451 385 AND 60NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2831 1451 386 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2831 1451 387 BY DWUCK (1) AND TNG (2,3,4,5)), COMPARED WITH DATA IN (5)2831 1451 388 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2831 1451 389 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 60NI 2831 1451 390 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2831 1451 391 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2831 1451 392 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 393 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2831 1451 394 OUTGOING NEUTRON). 2831 1451 395 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2831 1451 396 AND 60CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 397 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 398 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 399 PRODUCT. COMPARES WELL WITH P EMISSION DATA WHEN COMBINED2831 1451 400 WITH 6/28. 2831 1451 401 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2831 1451 402 AND 57FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 403 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 404 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 405 PRODUCT. COMPARES WELL WITH A EMISSION DATA WHEN COMBINED2831 1451 406 WITH 6/22. 2831 1451 407 12-51 THROUGH 12-61 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2831 1451 408 BY HETRICK ET AL. (5), ARE GIVEN. 2831 1451 409 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2831 1451 410 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2831 1451 411 ASSUMED TO BE ISOTROPIC. 2831 1451 412 15-102 (N,G) CAPTURE; TNG CALCULATED 2831 1451 413 2831 1451 414 -------------------------------------------------------------- 2831 1451 415 UNCERTAINTY FILES 2831 1451 416 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2831 1451 417 REQUIRED BY ENDF/B-VI. 2831 1451 418 2831 1451 419 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 100 EV. FROM 100 2831 1451 420 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2831 1451 421 33-2 FROM 1.E-5 TO 100 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2831 1451 422 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 100 EV TO 2831 1451 423 20 MEV THE FILES ARE DERIVED. 2831 1451 424 33-3 FROM 1.E-5 TO 450 KEV UNCERTAINTIES ARE DERIVED. FROM 4502831 1451 425 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82831 1451 426 33-4 UNCERTAINTIES ARE ALL DERIVED. 2831 1451 427 33-16 COVARIANCES WERE ESTIMATED AS NO DATA AVAILABLE. 2831 1451 428 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2831 1451 429 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM DATA2831 1451 430 AND CALCULATION. 2831 1451 431 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2831 1451 432 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2831 1451 433 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2831 1451 434 ENERGIES, AND CALCULATED RESULTS ABOVE 450 KEV. 2831 1451 435 33-103 COVARIANCES - DATA OF VONACH ET AL. (10) AND CSISRS DATA 2831 1451 436 USED AS A GUIDE. 2831 1451 437 33-104 UNCERTAINTIES ESTIMATED, BASED ON DATA 2831 1451 438 33-107 UNCERTAINTIES EXPLICIT, BASED ON DATA AND TNG RESULTS. 2831 1451 439 ---------------------------------------------------------------- 2831 1451 440 REFERENCES: 2831 1451 441 (1) P.D. Kunz, "DISTORTED WAVE CODE DWUCK72," UNIV. OF 2831 1451 442 COLORADO, UNPUBLISHED (1972). 2831 1451 443 (2) C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) 2831 1451 444 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2831 1451 445 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2831 1451 446 p. 675 2831 1451 447 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2831 1451 448 ORNL/TM-10093 (1986) 2831 1451 449 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2831 1451 450 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2831 1451 451 (6) C.M. Perey, J.A. Harvey, R.L. Macklin, et al., Phys.Rev.C, 2831 1451 452 27, 2556 (1983) 2831 1451 453 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2831 1451 454 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2831 1451 455 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2831 1451 456 (8) J.A. Harvey, ORELA, 80-M NE110 TA TARGET DATA, SENT TO NNDC 2831 1451 457 (9) J.A. Harvey, ORELA, 80-M NE110 BE BLOCK DATA, SENT TO NNDC 2831 1451 458 (10) H. Vonach, M. Wagner, and R.C. Haight, "Neutron cross 2831 1451 459 sections of 58Ni and 60Ni for 8-12 MeV neutrons," private 2831 1451 460 communication, 1989 2831 1451 461 (11) L.R. Greenwood, report DOE-ER-0046-21 (1985) p. 15 2831 1451 462 (12) A. Paulsen, Nukleonik 10, 91 (1967) 2831 1451 463 (13) W. Mannhart, Proc. Fourth ASTM-Euratom Symp. on Reactor 2831 1451 464 Dosimetry, Vol. II, March 22-26, 1982 (1982) p. 637 2831 1451 465 (14) M. Divadeenam, Brookhaven National Laboratory report 2831 1451 466 BNL-NCS-51346 [ENDF-294] (1979) 2831 1451 467 (15) S.M. Grimes, R.C. Haight, K.R. Alvar, et al., Phys.Rev.C 2831 1451 468 19, 2127 (1979) 2831 1451 469 2831 1451 470 ************************ C O N T E N T S *********************** 2831 1451 471 ***************** Program LINEAR (VERSION 2007-1) ***************2831 1451 472 For All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 473 Data Linearized Using Energy Dependent Uncertainty 2831 1451 474 Energy Accuracy 2831 1451 475 (eV) (per-cent) 2831 1451 476 ----------- ----------- 2831 1451 477 0.0 .010000000 2831 1451 478 1.00000000 .010000000 2831 1451 479 10.0000000 .100000000 2831 1451 480 2.00000E+9 .100000000 2831 1451 481 ***************** Program RECENT (VERSION 2007-1) ***************2831 1451 482 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 483 Data Linearized Using Energy Dependent Uncertainty 2831 1451 484 Energy Accuracy 2831 1451 485 (eV) (per-cent) 2831 1451 486 ----------- ----------- 2831 1451 487 0.0 .010000000 2831 1451 488 1.00000000 .010000000 2831 1451 489 10.0000000 .100000000 2831 1451 490 2.00000E+9 .100000000 2831 1451 491 ***************** Program SIGMA1 (VERSION 2007-1) ***************2831 1451 492 Data Doppler Broadened to 900.000000 Kelvin 2831 1451 493 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 494 Data Linearized Using Energy Dependent Uncertainty 2831 1451 495 Energy Accuracy 2831 1451 496 (eV) (per-cent) 2831 1451 497 ----------- ----------- 2831 1451 498 0.0 .010000000 2831 1451 499 1.00000000 .010000000 2831 1451 500 10.0000000 .100000000 2831 1451 501 2.00000E+9 .100000000 2831 1451 502 ***************** Program FIXUP (Version 2007-1) ****************2831 1451 503 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 504 Corrected Thresholds-----------------------------------------No 2831 1451 505 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 506 Allow Cross Section Deletion---------------------------------Yes 2831 1451 507 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 508 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 509 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 510 Deleted Duplicate Points-------------------------------------Yes 2831 1451 511 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 512 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 513 Allow Creation of Missing Sections---------------------------No 2831 1451 514 Allow Insertion of Energy Points-----------------------------No 2831 1451 515 Create Uniform Energy Grid-----------------------------------No 2831 1451 516 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 517 **************** Program DICTIN (VERSION 2007-1) ****************2831 1451 518 1 451 587 42831 1451 519 2 151 279 22831 1451 520 3 1 18358 32831 1451 521 3 2 4957 32831 1451 522 3 4 17 12831 1451 523 3 5 8 32831 1451 524 3 16 6 12831 1451 525 3 22 7 12831 1451 526 3 28 7 12831 1451 527 3 51 14 12831 1451 528 3 52 13 12831 1451 529 3 53 12 12831 1451 530 3 54 12 12831 1451 531 3 55 12 12831 1451 532 3 56 11 12831 1451 533 3 57 11 12831 1451 534 3 58 11 12831 1451 535 3 59 11 12831 1451 536 3 60 11 12831 1451 537 3 61 11 12831 1451 538 3 91 11 12831 1451 539 3 102 13606 42831 1451 540 3 103 12 12831 1451 541 3 104 11 12831 1451 542 3 107 163 12831 1451 543 4 2 3747 32831 1451 544 6 5 13230 32831 1451 545 6 16 316 12831 1451 546 6 22 421 12831 1451 547 6 28 413 12831 1451 548 6 51 47 12831 1451 549 6 52 44 12831 1451 550 6 53 7 12831 1451 551 6 54 41 12831 1451 552 6 55 7 12831 1451 553 6 56 41 12831 1451 554 6 57 7 12831 1451 555 6 58 7 12831 1451 556 6 59 7 12831 1451 557 6 60 7 12831 1451 558 6 61 7 12831 1451 559 6 91 1295 12831 1451 560 6 103 819 12831 1451 561 6 107 847 12831 1451 562 12 51 3 12831 1451 563 12 52 3 12831 1451 564 12 53 3 12831 1451 565 12 54 3 12831 1451 566 12 55 3 12831 1451 567 12 56 3 12831 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0.0 0.0 2831 2151 599 65201.0000 .500000000 454.740000 .940000000 0.0 0.0 2831 2151 600 86795.0000 .500000000 405.690000 .620000000 0.0 0.0 2831 2151 601 98046.0000 .500000000 1015.80000 .900000000 0.0 0.0 2831 2151 602 107800.000 .500000000 655.410000 .800000000 0.0 0.0 2831 2151 603 138980.000 .500000000 30.6800000 1.18000000 0.0 0.0 2831 2151 604 156320.000 .500000000 489.960000 .500000000 0.0 0.0 2831 2151 605 161690.000 .500000000 1355.40000 .460000000 0.0 0.0 2831 2151 606 186520.000 .500000000 5348.30000 2.90000000 0.0 0.0 2831 2151 607 197580.000 .500000000 2840.50000 1.20000000 0.0 0.0 2831 2151 608 200520.000 .500000000 9.77110000 .630000000 0.0 0.0 2831 2151 609 251900.000 .500000000 548.000000 1.28000000 0.0 0.0 2831 2151 610 256010.000 .500000000 879.700100 .560000000 0.0 0.0 2831 2151 611 257540.000 .500000000 1758.40000 .380000000 0.0 0.0 2831 2151 612 278850.000 .500000000 216.090000 .410000000 0.0 0.0 2831 2151 613 291820.000 .500000000 134.400000 .690000000 0.0 0.0 2831 2151 614 316910.000 .500000000 2838.00000 1.10000000 0.0 0.0 2831 2151 615 325400.000 .500000000 6829.50000 1.50000000 0.0 0.0 2831 2151 616 338310.000 .500000000 3559.70000 2.50000000 0.0 0.0 2831 2151 617 357510.000 .500000000 1673.80000 2.80000000 0.0 0.0 2831 2151 618 376690.000 .500000000 3882.00000 3.00000000 0.0 0.0 2831 2151 619 383020.000 .500000000 368.110000 1.82000000 0.0 0.0 2831 2151 620 413330.000 .500000000 347.940000 .930000000 0.0 0.0 2831 2151 621 418120.000 .500000000 87.3530000 1.30000000 0.0 0.0 2831 2151 622 422350.000 .500000000 1916.00000 2.10000000 0.0 0.0 2831 2151 623 437600.000 .500000000 1206.30000 1.35000000 0.0 0.0 2831 2151 624 443900.000 .500000000 203.990000 1.70000000 0.0 0.0 2831 2151 625 447830.000 .500000000 2774.00000 2.00000000 0.0 0.0 2831 2151 626 454030.000 .500000000 788.490000 2.00000000 0.0 0.0 2831 2151 627 456000.000 .500000000 151.000000 2.00000000 0.0 0.0 2831 2151 628 463410.000 .500000000 1550.40000 2.00000000 0.0 0.0 2831 2151 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0.0 0.0 2831 2151 675 97020.0000 .500000000 2.84950000 .810000000 0.0 0.0 2831 2151 676 99370.0000 .500000000 7.41150000 1.29000000 0.0 0.0 2831 2151 677 102140.000 .500000000 .500260000 .500520000 0.0 0.0 2831 2151 678 108520.000 .500000000 5.00260000 1.22130000 0.0 0.0 2831 2151 679 111550.000 .500000000 4.00210000 4.00420000 0.0 0.0 2831 2151 680 112080.000 .500000000 2.50130000 .460480000 0.0 0.0 2831 2151 681 112320.000 .500000000 3.50180000 .660690000 0.0 0.0 2831 2151 682 113400.000 .500000000 3.00160000 1.28130000 0.0 0.0 2831 2151 683 113950.000 .500000000 .090047000 .500520000 0.0 0.0 2831 2151 684 120610.000 .500000000 7.47710000 1.13120000 0.0 0.0 2831 2151 685 120940.000 .500000000 2.61900000 2.39250000 0.0 0.0 2831 2151 686 123710.000 .500000000 31.4890000 .800840000 0.0 0.0 2831 2151 687 127750.000 .500000000 67.4160000 .460510000 0.0 0.0 2831 2151 688 129860.000 .500000000 1.70090000 2.50260000 0.0 0.0 2831 2151 689 133610.000 .500000000 20.8760000 .650680000 0.0 0.0 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1821 27677.7752 .014820729 27678.6795 .014798197 27679.5838 .0147913242831 3 1 1822 27680.4880 .014800180 27681.1738 .014817432 27682.3042 .0148657952831 3 1 1823 27682.8994 .014904387 27683.4346 .014940186 27684.5650 .0150408772831 3 1 1824 27685.6953 .015166782 27686.8257 .015318071 27687.9560 .0154948672831 3 1 1825 27689.0864 .015697352 27690.0736 .015895308 27691.3396 .0161781612831 3 1 1826 27692.6056 .016493794 27693.8716 .016842425 27695.1376 .0172242752831 3 1 1827 27696.4036 .017639566 27697.6696 .018088522 27698.9356 .0185713662831 3 1 1828 27700.2016 .019088325 27701.4676 .019639623 27703.1556 .0204284952831 3 1 1829 27704.6025 .021154008 27706.0494 .021925404 27707.4962 .0227429602831 3 1 1830 27709.4254 .023905590 27711.4751 .025232432 27713.2837 .0264823352831 3 1 1831 27715.0923 .027807142 27716.9009 .029207548 27719.3123 .0311935272831 3 1 1832 27721.2415 .032881205 27723.4118 .034886010 27724.3763 .0358274972831 3 1 1833 27725.5821 .037007005 27728.4758 .040016791 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.747804013 27910.0313 .810464716 27917.7657 .8787331512831 3 1 1847 27925.5000 .950985815 27928.9375 .985259328 27935.8125 1.053830132831 3 1 1848 27946.1250 1.16447516 27955.1485 1.26802310 27959.8750 1.325722342831 3 1 1849 27964.1719 1.37819385 27973.1954 1.49531638 27982.2188 1.619711072831 3 1 1850 27990.8125 1.74545058 27991.2422 1.75173964 28001.1250 1.905587262831 3 1 1851 28011.4375 2.07693129 28021.7500 2.25993010 28032.0625 2.455296312831 3 1 1852 28042.3750 2.66368005 28052.6875 2.88582225 28063.0000 3.122563062831 3 1 1853 28073.3125 3.37467422 28083.6250 3.64303133 28093.9375 3.928627122831 3 1 1854 28104.2500 4.23246985 28114.5625 4.55867700 28117.1407 4.640249042831 3 1 1855 28130.0313 5.08042375 28142.9219 5.55411870 28145.5000 5.656193152831 3 1 1856 28155.8125 6.06456326 28168.7032 6.61408058 28168.8682 6.621627572831 3 1 1857 28180.6175 7.15910720 28192.0438 7.71859102 28192.2363 7.728646762831 3 1 1858 28203.4700 8.31554481 28214.8963 8.95149222 28215.8382 9.007386992831 3 1 1859 28226.3225 9.62963048 28237.8450 10.3586325 28239.9075 10.49801152831 3 1 1860 28249.5600 11.1503845 28261.2750 11.9962540 28263.9769 12.20555282831 3 1 1861 28276.8950 13.2063445 28288.5000 14.1743326 28288.6100 14.18350892831 3 1 1862 28303.4119 15.5088151 28313.2500 16.4588741 28317.3957 16.85926272831 3 1 1863 28331.3794 18.3107198 28338.0000 19.0487669 28345.3632 19.86967132831 3 1 1864 28360.5500 21.6947999 28361.6913 21.8319720 28375.6957 23.64125282831 3 1 1865 28383.1000 24.6626205 28389.7000 25.5731359 28401.2500 27.28755072831 3 1 1866 28407.8500 28.2673916 28411.4250 28.8427636 28415.5500 29.50699062831 3 1 1867 28417.6125 29.8394090 28419.1594 30.0890163 28420.7063 30.33903712831 3 1 1868 28421.7375 30.5060436 28422.7688 30.6734353 28423.8000 30.84128632831 3 1 1869 28424.5735 30.9675785 28425.3469 31.0942538 28426.1204 31.22141192831 3 1 1870 28426.8938 31.3490922 28427.1000 31.3832976 28427.6672 31.48543072831 3 1 1871 28428.4407 31.6254045 28429.2141 31.7661318 28429.7297 31.86041632831 3 1 1872 28430.2454 31.9551170 28430.7610 32.0502168 28431.2766 32.14575132831 3 1 1873 28432.0500 32.2898998 28432.7375 32.4189157 28433.4250 32.54877022831 3 1 1874 28434.1125 32.6794599 28434.8000 32.8109640 28435.4875 32.94324302831 3 1 1875 28436.5188 33.1429867 28437.5500 33.3440204 28441.1250 34.04457282831 3 1 1876 28442.1048 34.2352790 28443.0844 34.4242998 28444.0332 34.60526532831 3 1 1877 28444.9200 34.7720967 28445.6213 34.9022203 28446.0200 34.97514202831 3 1 1878 28446.4050 35.0494492 28447.1750 35.1957974 28448.0660 35.36223002831 3 1 1879 28448.8800 35.5115163 28449.6775 35.6552584 28450.2825 35.76270302831 3 1 1880 28451.1900 35.9214447 28452.0288 36.0658189 28452.8950 36.21286402831 3 1 1881 28454.0500 36.4063538 28455.4250 36.6341142 28457.8313 37.03086042831 3 1 1882 28458.8625 37.2019241 28459.8938 37.3744892 28460.5813 37.49060102831 3 1 1883 28461.2688 37.6077248 28461.9563 37.7259770 28462.5750 37.83344662831 3 1 1884 28463.1932 37.9418960 28463.8113 38.0514581 28464.2749 38.13441242831 3 1 1885 28464.7385 38.2180612 28465.0500 38.2747489 28465.2021 38.30544612831 3 1 1886 28465.8203 38.4313716 28466.2838 38.5266845 28466.7474 38.62281532831 3 1 1887 28467.2110 38.7197670 28467.7200 38.8271868 28468.1200 38.91233792831 3 1 1888 28468.5200 38.9981521 28468.9200 39.0846440 28469.3200 39.17182772831 3 1 1889 28469.7200 39.2597169 28470.1200 39.3483240 28470.5200 39.43766072831 3 1 1890 28471.1200 39.5730551 28471.7200 39.7101394 28472.3200 39.84892862831 3 1 1891 28472.9200 39.9894237 28473.5200 40.1316092 28473.9200 40.22732232831 3 1 1892 28474.5600 40.3819539 28475.2000 40.5383400 28475.8400 40.69635872831 3 1 1893 28476.8000 40.9360955 28477.7600 41.1784629 28481.0400 42.01329662831 3 1 1894 28482.2400 42.3147698 28483.0400 42.5124881 28483.8400 42.70671912831 3 1 1895 28484.7520 42.9230033 28485.3760 43.0673827 28486.2080 43.25485072831 3 1 1896 28487.0400 43.4361549 28488.0045 43.6382438 28488.8274 43.80368212831 3 1 1897 28489.5701 43.9475437 28490.2509 44.0750264 28490.9318 44.19855142831 3 1 1898 28491.7674 44.3451306 28492.5179 44.4725755 28493.4619 44.62809422831 3 1 1899 28494.3750 44.7744931 28495.6982 44.9819455 28498.1242 45.35809352831 3 1 1900 28499.1166 45.5138415 28500.1090 45.6721635 28500.7706 45.77950182831 3 1 1901 28501.4322 45.8884605 28502.0938 45.9991521 28502.7554 46.11164892831 3 1 1902 28503.4171 46.2260025 28503.9133 46.3129635 28504.4095 46.40094932831 3 1 1903 28504.9057 46.4899405 28505.4019 46.5799107 28505.8981 46.67082712831 3 1 1904 28506.2840 46.7422403 28506.3943 46.7643500 28506.8905 46.86468012831 3 1 1905 28507.3867 46.9658317 28507.8829 47.0677575 28508.4894 47.19332102831 3 1 1906 28508.9305 47.2852714 28509.5921 47.4240970 28510.2537 47.56391392831 3 1 1907 28510.9154 47.7046332 28511.5769 47.8460866 28512.2386 47.98826232831 3 1 1908 28512.9002 48.1310061 28513.5618 48.2742578 28514.2234 48.41794382831 3 1 1909 28515.1055 48.6100814 28516.0704 48.8208487 28517.0353 49.03209732831 3 1 1910 28518.4826 49.3496151 28519.9299 49.6676698 28521.8596 50.09224102831 3 1 1911 28524.7541 50.7296457 28530.5432 52.0051803 28530.9842 52.10237512831 3 1 1912 28584.7954 64.4972828 28603.3205 68.7639996 28608.6134 69.92692192831 3 1 1913 28627.1386 73.9966585 28632.4315 75.0728252 28649.1923 78.48022442831 3 1 1914 28650.9566 78.8388437 28674.7747 83.1378404 28675.6568 83.27200322831 3 1 1915 28694.7113 86.1694418 28698.9456 86.8131817 28717.2943 89.01773752831 3 1 1916 28722.2343 89.6111195 28737.0545 90.9604968 28739.1717 91.15320942831 3 1 1917 28756.1089 92.2815288 28761.2254 92.4940512 28774.4576 93.04333602831 3 1 1918 28785.0434 93.1998855 28795.6292 93.3562263 28808.8615 93.18426462831 3 1 1919 28819.4473 93.0465151 28843.2653 92.1269419 28848.5582 91.80841722831 3 1 1920 28867.9655 90.6403374 28894.4300 88.5757009 28927.9517 85.45386292831 3 1 1921 28929.7160 85.2895722 28961.4734 81.9334212 28987.9379 79.13688462831 3 1 1922 29014.4024 76.3406041 29042.1902 73.4047891 29069.9780 70.46926992831 3 1 1923 29070.8601 70.3760933 29097.3246 67.7724412 29123.7891 65.16903662831 3 1 1924 29150.2536 62.8006497 29176.7181 60.4324757 29203.1826 58.30989242831 3 1 1925 29229.6471 56.1874884 29256.1116 54.2995408 29282.5761 52.41174272831 3 1 1926 29309.0406 50.7377179 29335.5051 49.0638199 29361.9696 47.57997012831 3 1 1927 29386.7801 46.1889767 29388.4341 46.0962548 29406.7664 45.17979172831 3 1 1928 29418.7581 44.5803964 29428.7512 44.0810349 29433.7477 43.83153422831 3 1 1929 29435.3673 43.7507534 29436.6079 43.6889443 29437.8484 43.62723262831 3 1 1930 29438.0551 43.6169693 29438.7788 43.5853076 29439.7091 43.54471062831 3 1 1931 29440.6396 43.5042420 29441.2599 43.4773613 29441.8801 43.45058022831 3 1 1932 29442.5004 43.4239076 29443.1206 43.3973725 29443.7409 43.37098932831 3 1 1933 29444.2061 43.3513210 29444.6712 43.3317714 29445.1365 43.31234112831 3 1 1934 29445.6017 43.2930567 29446.0669 43.2739292 29446.5321 43.25497452831 3 1 1935 29446.9973 43.2362097 29447.4625 43.2176527 29447.9277 43.19932202831 3 1 1936 29448.3928 43.1812411 29448.8581 43.1634181 29449.3232 43.14588882831 3 1 1937 29449.7884 43.1286622 29450.2536 43.1117628 29450.7189 43.09520742831 3 1 1938 29451.1841 43.0790228 29451.6493 43.0632246 29452.1144 43.04783382831 3 1 1939 29452.5797 43.0328573 29453.0448 43.0183225 29453.5100 43.00423242831 3 1 1940 29453.9752 42.9906000 29454.4404 42.9774325 29454.9726 42.96294292831 3 1 1941 29455.5383 42.9482125 29456.1039 42.9341670 29456.6697 42.92077982831 3 1 1942 29457.4239 42.9039135 29458.1782 42.8880682 29459.1209 42.86948932831 3 1 1943 29462.5569 42.8069727 29463.7133 42.7846542 29464.5249 42.76755622831 3 1 1944 29465.3364 42.7488199 29466.1886 42.7269614 29466.8784 42.70735882831 3 1 1945 29467.5683 42.6858417 29468.2987 42.6608049 29469.0595 42.63210782831 3 1 1946 29469.9847 42.5934637 29470.7397 42.5588367 29471.4794 42.52224312831 3 1 1947 29472.1338 42.4877333 29472.7312 42.4545577 29473.5278 42.40800152831 3 1 1948 29474.3387 42.3581432 29475.0499 42.3126253 29475.9745 42.25137512831 3 1 1949 29477.1125 42.1735708 29480.6866 41.9235255 29481.7357 41.85152442831 3 1 1950 29482.6247 41.7918034 29483.3360 41.7450414 29484.0472 41.69928652831 3 1 1951 29484.5807 41.6656554 29485.1141 41.6326395 29485.6475 41.60023882831 3 1 1952 29486.1810 41.5684468 29486.7144 41.5372686 29487.2123 41.50870292831 3 1 1953 29487.6390 41.4846247 29488.0658 41.4609012 29488.4925 41.43753182831 3 1 1954 29488.9193 41.4144924 29489.3460 41.3917796 29489.7728 41.36936812831 3 1 1955 29490.1995 41.3472529 29490.6263 41.3254081 29491.0530 41.30382802831 3 1 1956 29491.4798 41.2824866 29491.9065 41.2613783 29492.3333 41.24047762831 3 1 1957 29492.7600 41.2197793 29493.1868 41.1992590 29493.6135 41.17891212831 3 1 1958 29494.0403 41.1587157 29494.4670 41.1386661 29494.8938 41.11874182831 3 1 1959 29495.3205 41.0989407 29495.8895 41.0727015 29496.4585 41.04663002831 3 1 1960 29497.0275 41.0207044 29497.5965 40.9949054 29498.1655 40.96921572831 3 1 1961 29498.7345 40.9436198 29499.5880 40.9053726 29500.4415 40.86726732831 3 1 1962 29501.2950 40.8292724 29501.8640 40.8040068 29502.4330 40.78173332831 3 1 1963 29503.5710 40.7372926 29505.2780 40.6707618 29507.5540 40.58219452831 3 1 1964 29509.8300 40.4937089 29514.3820 40.3168400 29521.7866 40.02924282831 3 1 1965 29534.1275 39.5500361 29553.8729 38.7834333 29555.6798 38.71328922831 3 1 1966 29583.4911 37.7592647 29622.9820 36.4047363 29632.8547 36.10948762831 3 1 1967 29682.9515 34.6114688 29693.5573 34.2943506 29714.7689 33.73535992831 3 1 1968 29757.1921 32.6174457 29799.6153 31.6217101 29820.8269 31.12387252831 3 1 1969 29842.0385 30.6780763 29884.4618 29.7865384 29926.8850 28.99767452831 3 1 1970 29969.3082 28.2088646 30001.1256 27.6879706 30029.4078 27.22498642831 3 1 1971 30047.0841 26.9356458 30055.9223 26.8093599 30073.5987 26.55681772831 3 1 1972 30093.0427 26.2790592 30104.5957 26.1140492 30116.6224 25.94230102831 3 1 1973 30128.6490 25.7705952 30136.6668 25.6561549 30144.6845 25.54174962831 3 1 1974 30150.9400 25.4525243 30152.7023 25.4306426 30158.7156 25.35601762831 3 1 1975 30164.9988 25.2780914 30169.2775 25.2250620 30173.5563 25.17206892831 3 1 1976 30177.8350 25.1191243 30181.0441 25.0794535 30184.2532 25.03982362831 3 1 1977 30187.4622 25.0002450 30190.6713 24.9607273 30192.8107 24.93442452831 3 1 1978 30194.9500 24.9081639 30196.9875 24.8831980 30199.0250 24.85828452831 3 1 1979 30201.0625 24.8334340 30203.1000 24.8086604 30204.6282 24.79014062831 3 1 1980 30206.1563 24.7716860 30207.6844 24.7533094 30209.2125 24.73503032831 3 1 1981 30210.2313 24.7229109 30211.2500 24.7108598 30212.2433 24.69918822831 3 1 1982 30213.2366 24.6876138 30214.1025 24.6776307 30214.2299 24.67688492831 3 1 1983 30214.8921 24.6730932 30215.5543 24.6693835 30216.2165 24.66577172831 3 1 1984 30216.8786 24.6622773 30217.5408 24.6589221 30218.2030 24.65573482831 3 1 1985 30218.6997 24.6534742 30219.1963 24.6513437 30219.6930 24.64936172831 3 1 1986 30220.1896 24.6475505 30220.6863 24.6459340 30221.1829 24.64454082831 3 1 1987 30221.6795 24.6434021 30222.0743 24.6427018 30222.5327 24.64214482831 3 1 1988 30222.8766 24.6419270 30223.2204 24.6418979 30223.5642 24.64207452831 3 1 1989 30223.9081 24.6424748 30224.2519 24.6431180 30224.2900 24.64321852831 3 1 1990 30224.5957 24.6514648 30224.9395 24.6610246 30225.2833 24.67089362831 3 1 1991 30225.6272 24.6810999 30225.9710 24.6916639 30226.3148 24.70261642831 3 1 1992 30226.6587 24.7139900 30227.0025 24.7258090 30227.3463 24.73810912831 3 1 1993 30227.6902 24.7509277 30228.0340 24.7642925 30228.3778 24.77824362831 3 1 1994 30228.7216 24.7928189 30229.0654 24.8080573 30229.4857 24.82764562831 3 1 1995 30229.7913 24.8425907 30230.0969 24.8701177 30230.5554 24.91265382831 3 1 1996 30231.0138 24.9567543 30231.4722 25.0025302 30231.9307 25.05009322831 3 1 1997 30232.3891 25.0995220 30232.6438 25.1280820 30232.8475 25.15937842831 3 1 1998 30233.3060 25.2318873 30233.7644 25.3065308 30234.0700 25.35752692831 3 1 1999 30234.5285 25.4359414 30234.9869 25.5166772 30235.2925 25.57209332831 3 1 2000 30235.4454 25.6073733 30235.9038 25.7155688 30236.3623 25.82623362831 3 1 2001 30236.8207 25.9393223 30237.5083 26.1135051 30238.0941 26.26610952831 3 1 2002 30238.1450 26.2797256 30238.8073 26.4961212 30239.5204 26.73420962831 3 1 2003 30240.4118 27.0381350 30241.4458 27.3976699 30244.2168 28.37516852831 3 1 2004 30245.3985 28.7848059 30246.2950 29.0861904 30246.4173 29.12110792831 3 1 2005 30247.2730 29.3545511 30248.0065 29.5448527 30248.6178 29.69549202831 3 1 2006 30248.6585 29.7049522 30249.3105 29.7953204 30249.9218 29.87082322831 3 1 2007 30250.6145 29.9452794 30251.3154 30.0080948 30251.7392 30.03835822831 3 1 2008 30251.9984 30.0295368 30252.7254 29.9911900 30253.4671 29.93775182831 3 1 2009 30253.7930 29.9081370 30254.2005 29.8354884 30254.7710 29.72471042831 3 1 2010 30255.5045 29.5713464 30256.2380 29.4055304 30256.4010 29.35578662831 3 1 2011 30257.2568 29.0810109 30258.1940 28.7675903 30259.2535 28.40144192831 3 1 2012 30259.4980 28.3146688 30262.5950 27.1308636 30263.6648 26.72707212831 3 1 2013 30264.5562 26.3968800 30264.6325 26.3691647 30265.2693 26.16727822831 3 1 2014 30265.9060 25.9697557 30266.5937 25.7613421 30267.2813 25.55830872831 3 1 2015 30267.6888 25.4406840 30267.7398 25.4288528 30268.1982 25.32495882831 3 1 2016 30268.6566 25.2235046 30269.1150 25.1244660 30269.5735 25.02778302831 3 1 2017 30270.0319 24.9334447 30270.4904 24.8413456 30270.9488 24.75145152831 3 1 2018 30271.4072 24.6840533 30271.8657 24.6186537 30272.3241 24.55518652831 3 1 2019 30272.7825 24.4935394 30273.1900 24.4402662 30273.2410 24.43542542831 3 1 2020 30273.6994 24.3935326 30274.0050 24.3664528 30274.4125 24.33134022831 3 1 2021 30274.8200 24.2973028 30275.2275 24.2642719 30275.6350 24.23218052831 3 1 2022 30276.0425 24.2009640 30276.4500 24.1705596 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