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 3 300.000000 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 300.000000 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 19818 32831 1451 521 3 2 5277 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 14806 42831 1451 540 3 103 12 12831 1451 541 3 104 11 12831 1451 542 3 107 165 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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10.9646538 23878.0304 11.0682429 23878.1926 11.21531172831 3 1 1784 23878.4847 11.4875763 23878.5172 11.5187409 23878.7768 11.79496332831 3 1 1785 23879.0040 12.0431105 23879.0689 12.1214339 23879.3610 12.48253532831 3 1 1786 23879.4909 12.6470771 23879.6530 12.8723026 23879.9777 13.33448282831 3 1 1787 23879.9938 13.3594728 23880.3346 13.9011962 23880.4645 14.11258992831 3 1 1788 23880.6754 14.4836377 23880.9512 14.9792598 23881.0162 15.10463112831 3 1 1789 23881.3570 15.7745673 23881.4381 15.9371476 23881.7627 16.62920292831 3 1 1790 23881.9249 16.9820048 23882.2494 17.7348226 23882.6551 18.69406732831 3 1 1791 23882.8336 19.1433615 23883.5476 20.9761065 23884.7160 24.07227532831 3 1 1792 23885.1704 25.2629560 23885.4624 25.9925792 23885.9168 27.10249772831 3 1 1793 23885.9817 27.2566018 23886.4685 28.3291259 23886.4686 28.32932512831 3 1 1794 23886.9392 29.2263022 23887.1176 29.5502167 23887.3773 29.95574182831 3 1 1795 23887.5947 30.2750200 23887.7765 30.4999398 23888.0134 30.77134072831 3 1 1796 23888.1432 30.8847880 23888.5067 31.1691660 23888.5586 31.20416542831 3 1 1797 23888.9766 31.3253623 23889.2986 31.3814752 23889.3895 31.36202552831 3 1 1798 23889.7011 31.2660168 23889.8308 31.2135093 23890.1554 30.97916172831 3 1 1799 23890.3631 30.8074136 23890.5741 30.5725097 23890.8500 30.23910452831 3 1 1800 23891.0122 30.0026162 23891.3368 29.4995556 23891.4991 29.20865252831 3 1 1801 23891.8723 28.5121297 23891.9372 28.3864884 23892.4890 27.20203222831 3 1 1802 23892.5051 27.1644612 23893.1867 25.5299701 23893.4139 24.97730702831 3 1 1803 23894.7607 21.5628980 23895.2962 20.2204734 23895.3611 20.06020552831 3 1 1804 23895.8317 18.9586185 23896.1888 18.1373044 23896.2374 18.03207232831 3 1 1805 23896.5782 17.3065876 23896.7405 16.9668589 23896.9190 16.61566642831 3 1 1806 23897.2598 15.9577369 23897.2923 15.8962175 23897.6006 15.35566122831 3 1 1807 23897.8927 14.8548055 23897.9576 14.7534656 23898.2172 14.35689772831 3 1 1808 23898.4769 13.9674544 23898.5418 13.8719087 23898.7365 13.61529182831 3 1 1809 23898.9962 13.2799144 23899.1909 13.0334830 23899.2558 12.96065772831 3 1 1810 23899.5154 12.6757678 23899.7750 12.3970082 23899.8400 12.32875962831 3 1 1811 23900.0671 12.1196868 23900.3106 11.9008451 23900.4891 11.74377002831 3 1 1812 23900.5539 11.6940891 23900.7974 11.5117110 23901.0408 11.33345742831 3 1 1813 23901.1382 11.2636447 23901.2842 11.1731333 23901.5276 11.02578352831 3 1 1814 23901.7710 10.8817345 23901.7873 10.8722932 23902.0144 10.75915002831 3 1 1815 23902.2579 10.6406785 23902.4364 10.5557570 23902.5012 10.52988172831 3 1 1816 23902.7122 10.4475926 23902.9232 10.3669956 23903.1342 10.28797072831 3 1 1817 23903.3127 10.2226404 23903.4506 10.1824361 23903.7670 10.09311452831 3 1 1818 23904.0835 10.0063646 23904.3999 9.92194701 23904.4161 9.917729182831 3 1 1819 23904.7163 9.85692910 23905.0327 9.79465037 23905.3492 9.733943432831 3 1 1820 23905.5196 9.70201511 23905.6656 9.68128568 23906.0185 9.632632002831 3 1 1821 23906.3025 9.59445691 23906.7285 9.53861756 23907.1544 9.484263132831 3 1 1822 23907.1747 9.48173184 23907.5804 9.44613488 23908.0064 9.409817392831 3 1 1823 23908.4323 9.37441335 23908.8583 9.33977713 23909.2842 9.305817822831 3 1 1824 23909.6089 9.28043568 23909.8522 9.26680502 23910.4201 9.235849302831 3 1 1825 23910.9679 9.20667693 23911.5155 9.17809134 23912.0429 9.151038982831 3 1 1826 23912.0632 9.15030788 23912.6109 9.13101526 23913.3411 9.105875842831 3 1 1827 23914.0714 9.08130484 23914.8016 9.05722657 23915.5318 9.033570802831 3 1 1828 23916.2620 9.01028258 23916.9111 8.98988148 23917.0734 8.986487852831 3 1 1829 23917.8848 8.96986712 23918.6962 8.95354814 23919.5075 8.937496282831 3 1 1830 23920.3189 8.92167657 23921.1302 8.90606644 23922.3473 8.882988892831 3 1 1831 23922.7530 8.87540328 23923.3209 8.86816223 23924.4569 8.853926642831 3 1 1832 23925.5928 8.83992624 23926.7287 8.82612956 23927.8646 8.812511222831 3 1 1833 23929.0006 8.79904861 23930.1365 8.78572587 23930.5421 8.781012622831 3 1 1834 23931.2724 8.77536433 23932.6517 8.76484283 23934.2745 8.752643472831 3 1 1835 23935.8972 8.74061278 23937.5200 8.72872627 23939.1427 8.716966262831 3 1 1836 23940.7655 8.70531526 23942.3882 8.69376121 23943.5240 8.685733342831 3 1 1837 23944.0109 8.68347675 23947.2563 8.66865200 23949.6904 8.657691952831 3 1 1838 23952.1245 8.64684427 23954.5586 8.63609206 23956.9927 8.625421702831 3 1 1839 23959.4268 8.61482216 23961.8609 8.60428422 23964.2950 8.593800092831 3 1 1840 23967.5405 8.58488793 23970.7860 8.57604673 23974.0315 8.567265902831 3 1 1841 23977.2769 8.55853702 23980.5224 8.54985243 23983.7679 8.541206492831 3 1 1842 23988.6361 8.52829985 23992.2873 8.51866174 23996.3441 8.507988342831 3 1 1843 24000.4010 8.49734622 24006.4862 8.48143376 24012.5715 8.465572012831 3 1 1844 24018.6568 8.44975213 24022.7136 8.43922943 24024.7421 8.435557982831 3 1 1845 24030.8273 8.42457416 24038.9410 8.40996508 24047.0547 8.395390822831 3 1 1846 24055.1684 8.38084537 24064.2557 8.36458476 24073.3430 8.348347382831 3 1 1847 24091.5176 8.31592899 24102.8058 8.29582415 24119.7381 8.265700712831 3 1 1848 24136.6703 8.23560610 24153.6026 8.20553462 24170.5349 8.175481272831 3 1 1849 24189.3485 8.14210545 24211.9248 8.10207270 24242.0266 8.048718742831 3 1 1850 24272.1284 7.99538398 24302.2302 7.94206372 24347.3829 7.862103552831 3 1 1851 24385.0101 7.79548275 24452.7390 7.67558672 24512.9426 7.569027842831 3 1 1852 24603.2479 7.40920867 24693.5533 7.24940323 24844.0622 6.983086602831 3 1 1853 24874.1640 6.92710995 25024.6729 6.64724997 25175.1818 6.367403062831 3 1 1854 25415.9960 5.88918702 25476.1996 5.76964365 25656.8103 5.386519242831 3 1 1855 25717.0139 5.25882049 25777.2174 5.12365626 25897.6245 4.853342462831 3 1 1856 26018.0316 4.56649124 26069.9592 4.44278980 26121.8868 4.311924012831 3 1 1857 26225.7420 4.05020961 26258.1968 3.96843006 26323.1063 3.794542602831 3 1 1858 26420.4705 3.53373033 26558.2356 3.14437892 26631.0911 2.928201042831 3 1 1859 26703.9466 2.71204244 26776.8021 2.48568078 26849.6577 2.259344212831 3 1 1860 26922.5132 2.02445352 26995.3687 1.78959699 27068.2242 1.550706282831 3 1 1861 27122.8659 1.37156926 27177.5076 1.19246057 27213.9353 1.073079332831 3 1 1862 27232.1492 1.01494003 27286.7908 .840559011 27332.3256 .7002338362831 3 1 1863 27341.4325 .673046476 27368.7533 .591507964 27396.0741 .5132637352831 3 1 1864 27400.6276 .500228118 27427.9484 .425345825 27450.7157 .3656891352831 3 1 1865 27468.9296 .320068589 27487.1435 .276446071 27500.8039 .2451957812831 3 1 1866 27505.3573 .235258532 27514.4643 .215394805 27525.8480 .1917013502831 3 1 1867 27537.2317 .169111436 27541.7851 .160526904 27547.7616 .1492659992831 3 1 1868 27557.7223 .131475570 27565.6909 .117951728 27573.6594 .1050748362831 3 1 1869 27578.2128 .098108605 27580.7743 .094193549 27587.8890 .0839064962831 3 1 1870 27593.5808 .076109190 27599.8419 .067990886 27605.5337 .0610410672831 3 1 1871 27610.0872 .055784475 27614.6406 .050803011 27618.9096 .0463871932831 3 1 1872 27623.1785 .042226246 27626.5936 .039087113 27627.1627 .0385914072831 3 1 1873 27629.7241 .036364875 27633.2815 .033449722 27636.1274 .0312551692831 3 1 1874 27638.9733 .029184748 27641.8192 .027240275 27643.9536 .0258656832831 3 1 1875 27646.0880 .024563720 27648.2224 .023335150 27650.3569 .0221807092831 3 1 1876 27652.5152 .021089681 27654.4444 .020180138 27656.3736 .0193333132831 3 1 1877 27657.8205 .018739789 27659.6291 .018048541 27661.3171 .0174546312831 3 1 1878 27662.5831 .017041944 27663.8491 .016657525 27665.1151 .0163015492831 3 1 1879 27666.5017 .015944505 27667.9486 .015608787 27668.4308 .0155074212831 3 1 1880 27668.9132 .015406915 27669.8777 .015222888 27670.8423 .0150558462831 3 1 1881 27671.8069 .014905895 27672.7715 .014773119 27673.7059 .0146609562831 3 1 1882 27674.6102 .014567904 27675.5145 .014490170 27676.4188 .0144278262831 3 1 1883 27677.3231 .014380946 27678.2274 .014349606 27679.1317 .0143338792831 3 1 1884 27680.5483 .014340807 27681.4564 .014365630 27682.3042 .0144032552831 3 1 1885 27683.1520 .014454898 27683.9998 .014520616 27684.8476 .0146004742831 3 1 1886 27685.6953 .014694517 27686.5431 .014802833 27687.3908 .0149254552831 3 1 1887 27688.2386 .015062477 27689.0864 .015213947 27690.0736 .0154086162831 3 1 1888 27691.3396 .015687222 27692.6056 .015998574 27693.8716 .0163428872831 3 1 1889 27695.1376 .016720383 27696.4036 .017131286 27697.6696 .0175758222831 3 1 1890 27698.9356 .018054221 27700.2016 .018566720 27701.4676 .0191135602831 3 1 1891 27702.7336 .019694980 27704.1202 .020371752 27705.5671 .0211228232831 3 1 1892 27707.0139 .021919990 27708.4608 .022763678 27709.9077 .0236619712831 3 1 1893 27710.3900 .023962411 27712.0780 .025082685 27713.8866 .0263548242831 3 1 1894 27715.6951 .027701847 27717.5038 .029124712 27719.9152 .0311407472831 3 1 1895 27721.9649 .032962579 27724.1353 .035001362 27726.3055 .0371540232831 3 1 1896 27729.1992 .040204020 27732.0929 .043462232 27734.6250 .0464866342831 3 1 1897 27737.1570 .049675106 27740.5330 .054186262 27743.9090 .0590004082831 3 1 1898 27746.6822 .063185554 27749.4553 .067598830 27749.9376 .0683674132831 3 1 1899 27753.1931 .073847002 27756.4485 .079622343 27760.7891 .0877936822831 3 1 1900 27765.3708 .097017074 27770.1937 .107406414 27775.0166 .1185110472831 3 1 1901 27779.8395 .130349094 27782.2509 .136663116 27785.1447 .1442462282831 3 1 1902 27789.4853 .156315162 27795.2727 .173405532 27801.0602 .1916694302831 3 1 1903 27807.0888 .211980383 27812.1528 .230085854 27818.9048 .2557717792831 3 1 1904 27825.6568 .283265360 27832.4088 .312658831 27838.9197 .3428920992831 3 1 1905 27843.9838 .367826206 27845.4306 .374953398 27851.9415 .4089188212831 3 1 1906 27858.4524 .444875602 27864.9633 .482896602 27871.8513 .5254462202831 3 1 1907 27872.9211 .532445066 27878.9279 .571758189 27886.0043 .6207860272831 3 1 1908 27895.4397 .690541947 27900.5959 .731525316 27904.8750 .7655492482831 3 1 1909 27912.6094 .831188713 27920.3438 .900704040 27928.9375 .9831952922831 3 1 1910 27930.6563 .999699829 27940.9688 1.10629765 27951.2813 1.220894282831 3 1 1911 27959.8750 1.32343154 27961.5938 1.34394637 27971.9063 1.475956692831 3 1 1912 27982.2188 1.61739569 27990.8125 1.74356223 27992.5313 1.768803902831 3 1 1913 28002.8438 1.93077526 28013.1563 2.10386914 28021.7500 2.257908092831 3 1 1914 28023.4688 2.28872536 28033.7813 2.48604549 28044.0938 2.696494162831 3 1 1915 28052.6875 2.88343020 28054.4063 2.92082815 28064.7188 3.159875502831 3 1 1916 28075.0313 3.41442454 28083.6250 3.64020140 28085.3438 3.685367672831 3 1 1917 28095.6563 3.97367522 28105.9688 4.28029426 28107.6875 4.334897872831 3 1 1918 28117.1407 4.63527928 28129.1719 5.04502545 28131.7500 5.138971032831 3 1 1919 28141.2032 5.48350552 28153.2344 5.95375770 28162.6875 6.347927312831 3 1 1920 28163.7188 6.39093679 28177.1250 6.98857922 28184.0000 7.320140532831 3 1 1921 28190.5313 7.63516694 28204.7350 8.37664310 28206.0000 8.448134282831 3 1 1922 28219.3375 9.20200771 28233.9400 10.0970465 28237.1025 10.30740642831 3 1 1923 28248.2125 11.0465249 28262.4850 12.0782473 28267.0088 12.42854382831 3 1 1924 28276.8125 13.1877868 28291.2500 14.4010263 28296.4200 14.86944632831 3 1 1925 28305.6875 15.7092155 28320.1250 17.1217238 28323.4800 17.47492112831 3 1 1926 28334.5625 18.6417574 28349.0000 20.2787446 28352.2450 20.67293442831 3 1 1927 28362.6125 21.9324488 28371.9900 23.1472452 28376.2250 23.69591472831 3 1 1928 28391.3500 25.7926877 28396.3000 26.5326668 28409.5000 28.50619492831 3 1 1929 28410.3938 28.6497727 28418.8500 30.0084053 28424.3500 30.89237442831 3 1 1930 28424.9000 30.9808311 28427.1000 31.3591148 28428.8188 31.65501612831 3 1 1931 28429.8500 31.8328676 28430.5375 31.9516838 28431.2250 32.07079292831 3 1 1932 28431.9125 32.1903147 28432.4282 32.2803345 28432.9438 32.37074292831 3 1 1933 28433.4594 32.4616590 28433.9750 32.5532023 28434.3188 32.61465922831 3 1 1934 28434.6625 32.6764837 28435.0063 32.7387608 28435.3500 32.80150652831 3 1 1935 28435.6422 32.8552741 28435.9344 32.9094683 28436.2266 32.96412482831 3 1 1936 28436.5188 33.0192800 28436.8110 33.0749702 28437.1032 33.13123102831 3 1 1937 28437.3954 33.1880971 28437.6875 33.2455815 28437.9797 33.30375382831 3 1 1938 28438.2719 33.3626216 28438.5641 33.4222080 28438.8563 33.48253102831 3 1 1939 28439.1485 33.5436034 28439.4407 33.6054311 28439.7500 33.67187302831 3 1 1940 28439.8790 33.7010073 28440.5407 33.8535618 28441.0563 33.97483512831 3 1 1941 28441.5719 34.0979247 28442.2594 34.2642213 28443.8407 34.64966102831 3 1 1942 28444.4800 34.8033528 28445.0300 34.9329821 28445.5800 35.05927672831 3 1 1943 28446.0338 35.1603834 28446.4050 35.2406921 28446.9000 35.34407882831 3 1 1944 28447.3400 35.4321583 28448.0050 35.5580806 28448.4263 35.63328372831 3 1 1945 28448.8525 35.7057859 28449.2375 35.7682819 28449.6500 35.83224322831 3 1 1946 28450.0625 35.8933209 28450.4475 35.9479654 28450.9425 36.01529522831 3 1 1947 28451.5613 36.0956950 28452.3038 36.1883111 28454.0500 36.40140692831 3 1 1948 28454.5657 36.4657866 28455.0813 36.5317104 28455.5540 36.59381242831 3 1 1949 28455.9407 36.6459398 28456.3274 36.6993354 28456.7141 36.75404032831 3 1 1950 28457.1008 36.8100691 28457.4875 36.8674130 28457.8743 36.92605842831 3 1 1951 28458.2610 36.9859291 28458.6477 37.0469807 28459.0344 37.10914322831 3 1 1952 28459.4211 37.1723397 28459.7391 37.2250262 28460.1173 37.28846082831 3 1 1953 28460.4954 37.3526452 28460.8735 37.4175193 28461.2516 37.48300912831 3 1 1954 28461.6298 37.5490618 28462.0079 37.6155767 28462.3860 37.68251082831 3 1 1955 28462.5750 37.7161766 28462.8841 37.7758745 28463.1932 37.83584052831 3 1 1956 28463.8113 37.9562616 28464.4294 38.0772312 28465.0475 38.19862412831 3 1 1957 28466.2838 38.4423494 28467.2110 38.6257392 28468.3200 38.84567902831 3 1 1958 28469.1200 39.0047996 28469.9200 39.1644489 28470.5200 39.28466392831 3 1 1959 28471.1200 39.4054378 28471.5200 39.4863525 28471.9200 39.56766332831 3 1 1960 28472.3200 39.6494495 28472.7200 39.7318035 28473.1200 39.81483222831 3 1 1961 28473.4200 39.8776192 28473.7200 39.9409109 28474.0800 40.01761522831 3 1 1962 28474.4000 40.0865769 28474.7200 40.1563652 28475.0400 40.22707502831 3 1 1963 28475.3600 40.2988066 28475.6000 40.3533388 28475.8400 40.40855052831 3 1 1964 28476.0800 40.4644883 28476.3200 40.5211993 28476.5600 40.57873082831 3 1 1965 28476.8000 40.6371299 28477.0400 40.6964428 28477.1200 40.71664432831 3 1 1966 28477.4400 40.8077356 28477.7600 40.9008768 28478.0800 40.99593892831 3 1 1967 28478.4000 41.0930007 28478.7200 41.1921262 28479.0400 41.29336142831 3 1 1968 28479.3400 41.3902085 28479.6400 41.4889341 28480.0400 41.62345532831 3 1 1969 28480.4400 41.7611738 28480.8400 41.9019050 28481.2400 42.04538182831 3 1 1970 28481.8400 42.2649480 28483.8400 43.0125891 28484.4480 43.23546492831 3 1 1971 28485.0560 43.4513631 28485.5360 43.6150245 28485.9520 43.75092102831 3 1 1972 28486.4000 43.8901851 28486.7520 43.9939334 28487.1680 44.10962952831 3 1 1973 28487.5920 44.2194558 28488.0023 44.3177121 28488.4715 44.42030952831 3 1 1974 28488.7346 44.4727592 28488.8274 44.4863586 28489.2297 44.53839032831 3 1 1975 28489.5701 44.5769310 28490.0034 44.6191956 28490.4212 44.65337452831 3 1 1976 28490.9318 44.6875053 28491.4889 44.7168813 28492.0459 44.74015232831 3 1 1977 28493.9339 44.8025831 28494.5956 44.8282188 28495.0367 44.84855242831 3 1 1978 28495.4777 44.8720953 28495.9188 44.8992453 28496.2496 44.92213292831 3 1 1979 28496.5804 44.9472652 28496.9113 44.9746849 28497.0215 44.98457672831 3 1 1980 28497.2420 45.0106746 28497.4625 45.0380286 28497.7934 45.08093062831 3 1 1981 28498.1242 45.1259840 28498.3723 45.1611461 28498.6204 45.19744032831 3 1 1982 28498.8685 45.2348229 28499.1166 45.2732472 28499.3647 45.31266402831 3 1 1983 28499.6128 45.3530226 28499.8609 45.3942712 28500.1090 45.43635762831 3 1 1984 28500.3571 45.4792297 28500.6052 45.5228359 28500.8533 45.56712542831 3 1 1985 28501.1014 45.6120489 28501.4322 45.6728508 28501.7630 45.73458702831 3 1 1986 28502.0938 45.7971556 28502.4246 45.8604622 28502.7554 45.92441942831 3 1 1987 28503.0863 45.9889669 28503.4171 46.0539931 28503.7479 46.11945212831 3 1 1988 28504.2441 46.2183262 28504.7403 46.3178738 28505.2365 46.41795462831 3 1 1989 28505.7327 46.5184538 28506.2840 46.6305250 28506.3943 46.65472462831 3 1 1990 28507.3867 46.8731934 28508.4894 47.1165914 28509.8126 47.40916082831 3 1 1991 28511.5769 47.7996964 28517.6417 49.1435422 28525.2503 50.83047622831 3 1 1992 28532.7485 52.4933349 28535.3950 53.1038150 28582.1489 63.88977312831 3 1 1993 28603.3205 68.7735152 28608.6134 69.9279463 28626.2564 73.77561732831 3 1 1994 28633.3136 75.3145059 28647.4280 78.1302553 28654.4852 79.53787832831 3 1 1995 28675.6568 83.3144171 28693.6527 86.0686739 28696.8284 86.55461912831 3 1 1996 28715.1771 88.8636679 28716.5886 89.0412556 28732.1144 90.58863702831 3 1 1997 28732.8202 90.6589634 28751.1689 92.0310595 28753.2860 92.13407672831 3 1 1998 28769.1647 92.9063461 28774.4576 93.0026507 28795.6292 93.38728872831 3 1 1999 28816.8008 93.1405078 28837.9724 92.4021822 28859.1440 91.24555902831 3 1 2000 28892.6657 88.7397425 28922.6588 85.9529073 28929.7160 85.29722372831 3 1 2001 28954.4162 82.6782414 28986.1736 79.3112942 29017.9310 75.94471442831 3 1 2002 29049.6885 72.5785096 29056.7456 71.8305482 29070.8601 70.40772642831 3 1 2003 29097.3246 67.7401890 29106.1461 66.8510897 29123.7891 65.21784112831 3 1 2004 29150.2536 62.7682020 29159.0751 61.9517253 29176.7181 60.46217352831 3 1 2005 29198.7719 58.6003957 29203.1826 58.2680731 29229.6471 56.27429142831 3 1 2006 29256.1116 54.2806764 29264.9331 53.6161870 29282.5761 52.45447212831 3 1 2007 29309.0406 50.7120391 29317.8621 50.1312695 29335.5051 49.10168422831 3 1 2008 29361.9696 47.5574295 29370.7911 47.0427201 29388.4341 46.11981132831 3 1 2009 29410.4879 44.9663044 29414.8986 44.7356424 29421.5148 44.43332722831 3 1 2010 29433.0930 43.9044371 29437.2281 43.7156323 29440.9497 43.54579072831 3 1 2011 29443.4307 43.4326396 29445.9118 43.3195902 29447.1523 43.26313962831 3 1 2012 29448.3928 43.2067788 29449.3232 43.1646073 29449.9435 43.13656732831 3 1 2013 29450.5638 43.1086157 29451.1841 43.0807869 29451.6493 43.06002502831 3 1 2014 29452.1144 43.0393891 29452.5797 43.0188983 29452.8898 43.00534732831 3 1 2015 29453.1999 42.9918963 29453.5100 42.9785615 29453.8202 42.96535662831 3 1 2016 29454.1303 42.9523106 29454.4404 42.9394418 29454.6897 42.92924192831 3 1 2017 29454.9726 42.9178442 29455.2555 42.9066567 29455.5383 42.89570822831 3 1 2018 29455.8211 42.8850216 29456.1039 42.8746257 29456.3868 42.86454792831 3 1 2019 29456.6697 42.8548247 29456.9525 42.8454938 29457.2353 42.83658762831 3 1 2020 29457.5182 42.8281407 29457.8010 42.8201974 29458.0839 42.81279132831 3 1 2021 29458.3667 42.8059672 29458.6496 42.7997594 29458.9324 42.79421112831 3 1 2022 29459.2152 42.7893573 29459.4981 42.7852321 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