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 3 600.000000 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 600.000000 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 18944 32831 1451 521 3 2 5055 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 14077 42831 1451 540 3 103 12 12831 1451 541 3 104 11 12831 1451 542 3 107 161 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 26922.5132 2.02441315 26995.3687 1.78956732 27068.2242 1.550694912831 3 1 1822 27122.8659 1.37157127 27177.5076 1.19247668 27213.9353 1.073104392831 3 1 1823 27232.1492 1.01497178 27286.7908 .840611597 27332.3256 .7002525612831 3 1 1824 27341.4325 .673138229 27373.3068 .578262933 27386.9672 .5392630242831 3 1 1825 27400.6276 .500277213 27427.9484 .425400632 27441.6088 .3896609772831 3 1 1826 27451.8541 .362867215 27468.9296 .320155581 27482.5900 .2875038132831 3 1 1827 27488.8511 .272544735 27503.0807 .240220662 27516.7411 .2106652712831 3 1 1828 27523.5712 .196578386 27528.1248 .187191902 27539.5085 .1648440452831 3 1 1829 27548.6154 .147818457 27557.7223 .131589921 27561.1374 .1258031602831 3 1 1830 27566.2601 .117128922 27574.7978 .103433650 27582.4818 .0918111912831 3 1 1831 27589.5965 .081665031 27595.2884 .073985014 27596.4268 .0725291122831 3 1 1832 27600.9802 .066712463 27606.6721 .059853865 27611.2256 .0546715422831 3 1 1833 27615.7791 .049766301 27620.0479 .045425802 27624.3168 .0413422042831 3 1 1834 27627.7319 .038265117 27631.1470 .035360094 27634.2775 .0328506952831 3 1 1835 27637.1235 .030698647 27639.9694 .028671546 27641.9614 .0273413002831 3 1 1836 27642.8153 .026772633 27645.3332 .025202833 27647.5230 .0239203362831 3 1 1837 27649.7128 .022715736 27651.9026 .021589941 27653.9621 .0206038852831 3 1 1838 27655.8913 .019744911 27657.8205 .018949208 27659.2674 .0183943602831 3 1 1839 27660.7142 .017875801 27661.9802 .017452005 27663.2462 .0170563682831 3 1 1840 27664.5122 .016689077 27665.7782 .016350316 27667.0442 .0160402712831 3 1 1841 27668.0088 .015823428 27669.0940 .015599630 27670.1791 .0153973072831 3 1 1842 27671.2643 .015216539 27672.3494 .015057478 27673.4346 .0149202182831 3 1 1843 27674.5197 .014804904 27675.6049 .014711640 27676.7051 .0146397342831 3 1 1844 27677.8204 .014590249 27678.6569 .014568682 27679.4933 .0145605092831 3 1 1845 27680.6086 .014570540 27681.6184 .014600364 27682.6282 .0146500062831 3 1 1846 27683.6380 .014719569 27684.6478 .014809159 27684.8286 .0148288042831 3 1 1847 27685.6576 .014920586 27686.6674 .015052622 27687.6772 .0152050002831 3 1 1848 27688.6870 .015377829 27689.9530 .015623561 27691.2190 .0159018192831 3 1 1849 27692.4850 .016212821 27693.7510 .016556784 27695.0170 .0169339302831 3 1 1850 27696.2830 .017344484 27697.5490 .017788670 27698.8150 .0182667152831 3 1 1851 27700.0810 .018778851 27701.3470 .019325304 27702.7336 .0199634612831 3 1 1852 27704.3613 .020765862 27705.9891 .021626316 27707.6168 .0225451932831 3 1 1853 27709.2445 .023523018 27710.8722 .024560264 27712.6809 .0257831332831 3 1 1854 27714.4894 .027080485 27716.2980 .028453216 27718.7095 .0304019212831 3 1 1855 27721.2415 .032595325 27723.4118 .034597033 27725.5821 .0367123942831 3 1 1856 27727.7524 .038942728 27728.2347 .039468565 27730.6461 .0421030532831 3 1 1857 27733.7810 .045765136 27736.3130 .048905886 27739.6890 .0533522612831 3 1 1858 27743.0650 .058099399 27746.6822 .063525262 27749.9376 .0687132442831 3 1 1859 27753.1931 .074194266 27756.4485 .079972408 27760.7891 .0881480422831 3 1 1860 27765.3708 .097375584 27766.8176 .100493492 27770.1937 .1077772772831 3 1 1861 27775.0166 .118897909 27779.8395 .130752193 27785.1447 .1446615102831 3 1 1862 27789.4853 .156736578 27795.2727 .173835465 27801.0602 .1921082832831 3 1 1863 27805.4007 .206738868 27807.0888 .212433394 27812.1528 .2305606982831 3 1 1864 27818.9048 .256261665 27825.6568 .283776990 27832.4088 .3131919572831 3 1 1865 27838.9197 .343417228 27840.1255 .349357225 27845.4306 .3755068482831 3 1 1866 27851.9415 .409500700 27858.4524 .445479720 27864.9633 .4835222392831 3 1 1867 27871.8513 .526095366 27878.2877 .568226272 27878.9279 .5724187392831 3 1 1868 27886.0043 .621473509 27895.4397 .691267141 27904.8750 .7663137492831 3 1 1869 27912.6094 .831984257 27920.3438 .901535552 27930.6563 1.000576922831 3 1 1870 27932.3750 1.01834600 27940.9688 1.10722126 27949.1329 1.197305742831 3 1 1871 27958.1563 1.30297359 27959.8750 1.32437862 27967.1797 1.415377942831 3 1 1872 27976.2032 1.53483100 27985.2266 1.66167106 27987.3750 1.693716532831 3 1 1873 27994.2500 1.79629007 28004.5625 1.96013557 28014.8750 2.135210492831 3 1 1874 28025.1875 2.32219609 28035.5000 2.52172323 28042.3750 2.663578042831 3 1 1875 28045.8125 2.73452158 28056.1250 2.96136186 28066.4375 3.203009762831 3 1 1876 28069.8750 3.28877612 28076.7500 3.46034700 28087.0625 3.734246012831 3 1 1877 28097.3750 4.02563167 28100.8125 4.12896152 28107.6875 4.335666942831 3 1 1878 28118.0000 4.66618423 28131.7500 5.13899812 28145.5000 5.650383152831 3 1 1879 28157.8750 6.14881874 28159.2500 6.20420973 28173.6875 6.834275382831 3 1 1880 28184.0000 7.31805956 28184.5157 7.34225605 28195.3438 7.883587692831 3 1 1881 28208.9700 8.61423675 28209.7813 8.65774556 28223.8750 9.476628732831 3 1 1882 28233.9400 10.1083430 28237.6250 10.3396584 28251.3750 11.27275782831 3 1 1883 28260.5600 11.9463622 28265.1250 12.2811898 28278.9507 13.36745582831 3 1 1884 28287.1800 14.0657690 28292.8519 14.5471251 28306.7532 15.81619532831 3 1 1885 28312.5900 16.3895608 28320.6544 17.1818317 28333.9919 18.58658432831 3 1 1886 28338.0000 19.0378827 28346.7657 20.0249602 28359.5394 21.55685632831 3 1 1887 28360.5500 21.6857128 28372.3132 23.1857264 28389.1500 25.48961382831 3 1 1888 28389.7000 25.5648842 28405.9250 27.9629596 28407.3000 28.18067692831 3 1 1889 28415.5500 29.4872242 28419.6750 30.1407630 28421.6000 30.44600602831 3 1 1890 28421.7375 30.4694372 28423.2844 30.7333527 28424.3157 30.90956482831 3 1 1891 28425.3469 31.0860837 28426.1204 31.2187842 28426.8938 31.35180102831 3 1 1892 28427.6672 31.4852417 28428.4407 31.6192309 28428.9563 31.70890142831 3 1 1893 28429.4719 31.7989042 28429.9875 31.8892835 28430.5032 31.98010422831 3 1 1894 28431.0188 32.0713803 28431.5344 32.1631805 28432.0500 32.25555622831 3 1 1895 28432.5657 32.3485772 28433.0813 32.4422570 28433.5969 32.53666072831 3 1 1896 28434.1125 32.6318306 28434.6282 32.7278217 28435.1438 32.82462502831 3 1 1897 28435.6594 32.9222776 28436.1750 33.0207862 28436.6907 33.12016362831 3 1 1898 28437.2063 33.2203498 28437.7735 33.3314729 28438.4438 33.46392222831 3 1 1899 28438.5125 33.4776204 28439.3375 33.6522864 28442.1048 34.24317062831 3 1 1900 28443.0844 34.4507843 28444.0332 34.6491486 28444.6244 34.77087272831 3 1 1901 28445.3875 34.9253582 28446.1300 35.0723988 28446.7900 35.20009252831 3 1 1902 28447.4500 35.3247619 28448.0385 35.4332864 28448.6875 35.55005512831 3 1 1903 28449.2788 35.6538180 28449.9250 35.7644585 28450.6400 35.88373692831 3 1 1904 28451.1900 35.9734414 28452.0288 36.1072673 28452.8950 36.24238382831 3 1 1905 28453.7613 36.3752628 28456.4563 36.7839413 28457.1438 36.88908032831 3 1 1906 28457.8313 36.9952118 28458.5188 37.1025628 28459.2063 37.21130402831 3 1 1907 28459.7219 37.2938403 28460.2375 37.3772560 28460.7532 37.46158462831 3 1 1908 28461.2688 37.5467985 28461.7844 37.6329091 28462.3000 37.71990402831 3 1 1909 28462.5750 37.7667275 28462.7296 37.7952991 28463.1932 37.88163752831 3 1 1910 28463.6568 37.9686459 28464.1204 38.0563086 28464.5840 38.14461162831 3 1 1911 28465.0475 38.2335242 28465.5112 38.3230965 28465.9748 38.41326792831 3 1 1912 28466.5929 38.5344571 28467.0565 38.6260922 28467.5200 38.71835952831 3 1 1913 28467.9200 38.7985293 28468.3200 38.8792240 28468.7200 38.96046862831 3 1 1914 28469.1200 39.0422921 28469.5200 39.1247275 28469.9200 39.20781172831 3 1 1915 28470.3200 39.2915851 28470.7200 39.3760910 28471.1200 39.46137562831 3 1 1916 28471.5200 39.5474869 28471.9200 39.6344743 28472.3200 39.72238792831 3 1 1917 28472.7200 39.8112774 28473.1200 39.9011911 28473.5200 39.99217512831 3 1 1918 28473.9200 40.0842722 28474.4000 40.2049517 28474.8800 40.32734292831 3 1 1919 28475.3600 40.4514847 28475.8400 40.5773978 28476.3200 40.70508142831 3 1 1920 28476.8000 40.8345102 28477.2800 40.9656318 28477.9200 41.14294832831 3 1 1921 28478.5600 41.3228448 28479.4400 41.5736931 28482.2400 42.38216762831 3 1 1922 28483.0400 42.6099118 28483.8400 42.8331789 28484.4480 42.99884122831 3 1 1923 28485.0560 43.1602694 28485.6960 43.3249380 28486.4000 43.49912162831 3 1 1924 28487.0400 43.6506222 28488.0045 43.8659040 28488.6263 43.99620822831 3 1 1925 28489.2297 44.1163592 28489.7558 44.2162136 28490.2509 44.30620842831 3 1 1926 28490.4367 44.3383834 28490.9318 44.4135429 28491.4889 44.49354162831 3 1 1927 28492.2819 44.6013160 28492.9899 44.6926039 28493.9339 44.80915492831 3 1 1928 28496.3599 45.0995549 28497.2420 45.2078298 28497.9588 45.29861962831 3 1 1929 28498.6204 45.3851943 28499.1166 45.4520819 28499.6128 45.52075512831 3 1 1930 28500.1090 45.5912743 28500.6052 45.6636681 28501.1014 45.73793642831 3 1 1931 28501.5976 45.8140536 28501.6528 45.8227216 28502.0938 45.90152902831 3 1 1932 28502.5900 45.9919360 28503.0863 46.0840163 28503.5825 46.17764052831 3 1 1933 28504.0787 46.2727266 28504.5749 46.3691689 28505.0711 46.46685902831 3 1 1934 28505.5673 46.5656882 28506.0635 46.6655496 28506.5597 46.76633952831 3 1 1935 28507.0559 46.8679588 28507.5521 46.9703142 28508.0483 47.07331842831 3 1 1936 28508.4894 47.1653642 28509.1511 47.3041731 28509.8126 47.44367772831 3 1 1937 28510.4743 47.5838268 28511.1359 47.7244418 28512.0180 47.91251442831 3 1 1938 28512.9002 48.1011200 28514.2234 48.3846689 28515.9601 48.75756732831 3 1 1939 28518.6341 49.3326540 28520.2331 49.6995625 28525.3606 50.87694392831 3 1 1940 28535.6156 53.2323062 28583.9132 64.3265330 28598.0276 67.56840232831 3 1 1941 28605.0848 69.1307036 28626.2564 73.8171122 28644.7816 77.62033102831 3 1 1942 28647.4280 78.1635423 28668.5996 82.0970623 28675.6568 83.23283202831 3 1 1943 28691.1827 85.7309488 28695.0641 86.2415650 28713.7657 88.70126262831 3 1 1944 28718.0000 89.1194958 28737.0545 91.0009442 28740.9359 91.27341252831 3 1 1945 28753.2860 92.1400464 28760.3432 92.4469216 28774.4576 93.06036752831 3 1 1946 28781.5148 93.1642712 28795.6292 93.3718208 28802.6864 93.29017872831 3 1 1947 28816.8008 93.1266761 28830.9152 92.5411784 28852.0868 91.66267032831 3 1 1948 28883.8442 89.4593767 28915.6016 86.6640931 28929.7160 85.24117052831 3 1 1949 28957.9448 82.3955612 28986.1736 79.3784355 29014.4024 76.36159982831 3 1 1950 29042.6312 73.3450681 29058.5100 71.6484166 29066.4494 70.85455712831 3 1 1951 29090.2674 68.4732113 29114.9676 66.0038913 29119.3784 65.60231172831 3 1 1952 29145.8429 63.1931061 29167.8966 61.1856191 29172.3074 60.81997982831 3 1 1953 29198.7719 58.6263678 29207.5934 57.8952245 29225.2364 56.55351052831 3 1 1954 29247.2901 54.8765103 29251.7009 54.5696691 29278.1654 52.72879442831 3 1 1955 29286.9869 52.1152158 29304.6299 50.9939612 29326.6836 49.59250312831 3 1 1956 29331.0944 49.3401874 29357.5589 47.8264315 29379.6126 46.56507632831 3 1 1957 29384.0234 46.3398998 29403.8718 45.3267197 29417.1040 44.65135522831 3 1 1958 29426.4769 44.1730597 29428.1309 44.0886787 29431.9903 43.91610932831 3 1 1959 29435.9876 43.7374488 29438.4686 43.6266330 29440.3294 43.54360432831 3 1 1960 29441.5700 43.4883287 29442.8105 43.4331694 29443.7409 43.39191322831 3 1 1961 29444.3611 43.3644897 29444.9814 43.3371432 29445.6017 43.30989922831 3 1 1962 29446.2220 43.2827834 29446.6872 43.2625501 29447.1523 43.24242582831 3 1 1963 29447.6176 43.2224149 29448.0827 43.2025543 29448.5479 43.18285312831 3 1 1964 29449.0131 43.1633403 29449.4783 43.1440430 29449.7884 43.13131382831 3 1 1965 29450.0986 43.1186992 29450.4087 43.1062173 29450.7189 43.09387052831 3 1 1966 29451.0290 43.0816780 29451.3392 43.0696435 29451.6493 43.05778662831 3 1 1967 29451.9594 43.0461159 29452.2695 43.0346442 29452.5797 43.02338082831 3 1 1968 29452.8898 43.0123465 29453.1999 43.0015508 29453.5100 42.99100732831 3 1 1969 29453.8202 42.9807262 29454.1303 42.9707275 29454.4404 42.96102092831 3 1 1970 29454.7840 42.9506221 29455.1612 42.9396570 29455.5383 42.92918572831 3 1 1971 29455.9154 42.9192240 29456.2925 42.9097879 29456.6697 42.90088872831 3 1 1972 29457.0468 42.8925414 29457.4239 42.8847502 29457.8010 42.87751762831 3 1 1973 29458.1782 42.8708400 29458.7438 42.8618547 29459.3095 42.85405822831 3 1 1974 29459.8752 42.8473776 29460.6294 42.8400196 29461.4004 42.83399812831 3 1 1975 29464.1191 42.8171085 29464.9307 42.8103847 29465.6205 42.80287042831 3 1 1976 29466.1886 42.7950312 29466.8784 42.7830646 29467.5683 42.76796772831 3 1 1977 29468.0755 42.7546335 29468.6639 42.7365935 29469.2624 42.71525452831 3 1 1978 29469.9977 42.6847546 29470.6544 42.6534686 29471.1949 42.62488362831 3 1 1979 29471.8777 42.5852356 29472.3898 42.5530403 29473.0726 42.50709052831 3 1 1980 29473.7554 42.4580481 29474.3387 42.4140443 29475.0499 42.35823982831 3 1 1981 29475.9745 42.2830825 29478.6062 42.0638951 29479.2997 42.00721652831 3 1 1982 29479.9931 41.9517461 29480.6866 41.8977404 29481.1489 41.86265952831 3 1 1983 29481.7357 41.8192693 29482.2691 41.7809753 29482.6247 41.75606442831 3 1 1984 29482.9804 41.7316431 29483.3360 41.7077226 29483.6916 41.68429032831 3 1 1985 29484.0472 41.6613375 29484.4029 41.6388468 29484.7585 41.61681772831 3 1 1986 29485.1141 41.5952284 29485.4697 41.5740623 29485.8254 41.55329562831 3 1 1987 29486.1810 41.5329209 29486.5366 41.5129128 29486.8922 41.49325122831 3 1 1988 29487.2123 41.4758318 29487.4968 41.4605596 29487.7813 41.44547422831 3 1 1989 29488.0658 41.4305652 29488.3503 41.4158227 29488.6348 41.40123682831 3 1 1990 29488.9193 41.3867980 29489.2038 41.3724970 29489.6305 41.35128662831 3 1 1991 29490.0573 41.3303322 29490.4840 41.3096166 29490.9108 41.28910472831 3 1 1992 29491.3375 41.2687829 29491.7643 41.2486203 29492.1910 41.22860662831 3 1 1993 29492.6178 41.2087149 29493.0445 41.1889385 29493.6135 41.16271442831 3 1 1994 29494.1825 41.1366320 29494.7515 41.1106660 29495.3205 41.08479502831 3 1 1995 29496.1740 41.0461286 29497.0275 41.0075889 29497.8810 40.96914042831 3 1 1996 29498.4500 40.9435571 29499.0190 40.9207567 29500.7260 40.85248612831 3 1 1997 29503.0020 40.7615876 29505.2780 40.6707605 29509.8300 40.48920282831 3 1 1998 29521.7866 40.0125572 29534.1275 39.5207660 29544.0002 39.16404822831 3 1 1999 29566.2139 38.3615616 29588.4275 37.5591458 29593.3638 37.38084452831 3 1 2000 29618.0457 36.5929849 29649.7980 35.5795076 29652.6002 35.49007042831 3 1 2001 29683.6846 34.5883229 29700.6278 34.0968360 29714.7689 33.72677172831 3 1 2002 29757.1921 32.6166475 29799.6154 31.6147307 29813.7564 31.28078062831 3 1 2003 29842.0386 30.6895897 29884.4618 29.8028625 29898.6028 29.50730542831 3 1 2004 29926.8850 28.9932755 29969.3083 28.2222853 29983.4493 27.96530652831 3 1 2005 29997.5904 27.7399908 30025.8726 27.2893908 30054.1547 26.83882882831 3 1 2006 30068.2957 26.6135747 30075.3664 26.5141609 30093.0427 26.26566832831 3 1 2007 30110.1685 26.0249583 30123.7590 25.8339845 30133.9519 25.69079442831 3 1 2008 30144.1448 25.5476530 30150.9400 25.4522633 30158.2750 25.36582742831 3 1 2009 30163.1650 25.3082376 30168.0550 25.2506827 30172.9450 25.19317212831 3 1 2010 30176.6125 25.1500757 30180.2800 25.1070183 30183.9475 25.06400902831 3 1 2011 30187.6150 25.0210596 30191.1807 24.9793749 30193.4219 24.95321962831 3 1 2012 30195.6632 24.9271059 30197.9044 24.9010439 30200.1457 24.87504152831 3 1 2013 30202.3869 24.8491135 30204.0679 24.8297242 30205.7488 24.81039502831 3 1 2014 30207.4297 24.7911356 30208.7541 24.7760186 30210.2823 24.75865032831 3 1 2015 30211.8104 24.7413786 30212.9565 24.7284992 30214.1025 24.71569722831 3 1 2016 30215.2487 24.7029837 30216.3948 24.6903808 30217.5409 24.67791322831 3 1 2017 30218.3049 24.6696945 30219.0690 24.6615648 30219.8330 24.65354452831 3 1 2018 30220.4697 24.6469602 30221.2338 24.6392044 30221.9979 24.63164462831 3 1 2019 30222.5072 24.6267389 30223.0166 24.6219602 30223.5260 24.61733172831 3 1 2020 30224.0354 24.6128798 30224.5447 24.6086368 30225.0541 24.60463822831 3 1 2021 30225.4362 24.6018261 30225.8182 24.5991985 30226.2002 24.59677872831 3 1 2022 30226.5822 24.5945937 30226.9388 24.5928014 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