28-Ni- 60 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.80600E+4 5.94160E+1 2 0 0 42831 1451 1 0.0 0.0 0 0 0 62831 1451 2 1.00000E+0 1.50000E+8 8 0 10 62831 1451 3 1.20000E+4 0.0 1 0 494 932831 1451 4 28-Ni- 60 LANL,ORNL EVAL-SEP97 S.CHIBA,M.B.CHADWICK,LARSON 2831 1451 5 Ch97,Ch99 DIST-SEP 1 REV3- 20010926 2831 1451 6 ----ENDF/B-VI MATERIAL 2831 REVISION 2 2831 1451 7 -----INCIDENT NEUTRON DATA 2831 1451 8 ------ENDF-6 FORMAT 2831 1451 9 2831 1451 10 ******************************************************************2831 1451 11 2831 1451 12 ENDF/B-VI MOD 4 Revision, June 2000, S.C. Frankle, R.C. Reedy, 2831 1451 13 P.G. Young (LANL) 2831 1451 14 2831 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2831 1451 16 MT 102) has been updated for new experimental data at incident 2831 1451 17 neutron energies up to 1 keV. 2831 1451 18 The Q-value for radiative capture was also updated in File 3. 2831 1451 19 Details of these changes are described in Frankel et al. [Fr01]. 2831 1451 20 2831 1451 21 **************************************************************** 2831 1451 22 2831 1451 23 ENDF/B-VI MOD 3 Evaluation, September 1997, S. Chiba, 2831 1451 24 M.B. Chadwick, P.G. Young (LANL), and 2831 1451 25 A.J. Koning (ECN) 2831 1451 26 2831 1451 27 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2831 1451 28 in cooperation with ECN Petten. 2831 1451 29 2831 1451 30 This evaluation provides a complete representation of the 2831 1451 31 nuclear data needed for transport, damage, heating, 2831 1451 32 radioactivity, and shielding applications over the incident 2831 1451 33 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2831 1451 34 here is divided into the region below and above 20 MeV. 2831 1451 35 2831 1451 36 INCIDENT NEUTRON ENERGIES < 20 MeV 2831 1451 37 2831 1451 38 Below 20 MeV the evaluation is based completely on the ENDF/B- 2831 1451 39 VI.5(Rev1,Release 2) evaluation by Larson, C. Perey, Hetrich, and 2831 1451 40 Fu. 2831 1451 41 2831 1451 42 INCIDENT NEUTRON ENERGIES > 20 MeV 2831 1451 43 2831 1451 44 The ENDF/B-VI Release 2 evaluation extends to 20 MeV and 2831 1451 45 includes cross sections and energy-angle data for all 2831 1451 46 significant reactions. The present evaluation utilizes a more 2831 1451 47 compact composite reaction spectrum representation above 20 MeV 2831 1451 48 in order to reduce the length of the file. No essential data for 2831 1451 49 applications is lost with this representation. 2831 1451 50 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2831 1451 51 all reaction data. Production cross sections and emission 2831 1451 52 spectra are given for neutrons, protons, deuterons, tritons, 2831 1451 53 alpha particles, gamma rays, and all residual nuclides produced 2831 1451 54 (A>5) in the reaction chains. To summarize, the ENDF sections 2831 1451 55 with non-zero data above En = 20 MeV are: 2831 1451 56 2831 1451 57 MF=3 MT= 1 Total Cross Section 2831 1451 58 MT= 2 Elastic Scattering Cross Section 2831 1451 59 MT= 3 Nonelastic Cross Section 2831 1451 60 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2831 1451 61 2831 1451 62 MF=4 MT= 2 Elastic Angular Distributions 2831 1451 63 2831 1451 64 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2831 1451 65 Distributions for Emission Neutrons, Protons, 2831 1451 66 Deuterons, Tritons, and Alphas; and Angle- 2831 1451 67 Integrated Spectra for Gamma Rays and Residual 2831 1451 68 Nuclei That Are Stable Against Particle Emission 2831 1451 69 2831 1451 70 The evaluation is based on nuclear model calculations that 2831 1451 71 have been benchmarked to experimental data, especially for n + 2831 1451 72 Ni58 and p + Ni58 reactions [Ch97]. We use the GNASH code system 2831 1451 73 [Yo92], which utilizes Hauser-Feshbach statistical, 2831 1451 74 preequilibrium and direct-reaction theories. Spherical optical 2831 1451 75 model calculations are used to obtain particle transmission 2831 1451 76 coefficients for the Hauser-Feshbach calculations, as well as 2831 1451 77 for the elastic neutron angular distributions. 2831 1451 78 Cross sections and spectra for producing individual residual 2831 1451 79 nuclei are included for reactions. The energy-angle-correlations 2831 1451 80 for all outgoing particles are based on Kalbach systematics 2831 1451 81 [Ka88]. 2831 1451 82 A model was developed to calculate the energy distributions of 2831 1451 83 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 2831 1451 84 energy distributions are represented in the laboratory system in 2831 1451 85 MT=5, MF=6, and are given as isotropic in the lab system. All 2831 1451 86 other data in MT=5,MF=6 are given in the center-of-mass system. 2831 1451 87 This method of representation utilizes the LCT=3 option approved 2831 1451 88 at the November, 1996, CSEWG meeting. 2831 1451 89 Preequilibrium corrections were performed in the course of the 2831 1451 90 GNASH calculations using the exciton model of Kalbach [Ka77, 2831 1451 91 Ka85], validated by comparison with calculations using Feshbach, 2831 1451 92 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2831 1451 93 nuclear data sheets were matched to continuum level densities 2831 1451 94 using the formulation of Gilbert and Cameron [Gi65] and pairing 2831 1451 95 and shell parameters from the Cook [Co67] analysis. Neutron and 2831 1451 96 charged- particle transmission coefficients were obtained from 2831 1451 97 the optical potentials, as discussed below. Gamma-ray 2831 1451 98 transmission coefficients were calculated using the Kopecky-Uhl 2831 1451 99 model [Ko90]. 2831 1451 100 2831 1451 101 SOME Ni-SPECIFIC INFORMATION CONCERNING THE EVAL. 2831 1451 102 2831 1451 103 The neutron total cross section was evaluated based on the 2831 1451 104 least-squares method taking account of the experimental 2831 1451 105 data [Du67, Bo71, St71, Sm79, Fe80, Pe82, Ha82a, Di97]. The data 2831 1451 106 for natural Ni [Di97] was also used because there was not enough 2831 1451 107 data for Ni-60 above 20 MeV. The data for natural Ni were 2831 1451 108 transformed to the Ni-60 cross section according to A*(2/3) law. 2831 1451 109 Result of this estimation was used as the evaluated total cross 2831 1451 110 section data above 20 MeV. 2831 1451 111 2831 1451 112 The evaluated total cross section data (1 to 250 MeV), s-wave 2831 1451 113 strength function [Mu81] and elastic scattering angular 2831 1451 114 distribution data [Bo71, Gu85, Tu73, Ya79] were used to obtain the2831 1451 115 neutron optical potential parameters. The parameter estimation was2831 1451 116 carried out based on Marquart-Bayesian approach [Sm91], where 2831 1451 117 ECIS95 code [Ra96] was used for the optical model calculation. We2831 1451 118 have employed the energy dependence of the optical potential 2831 1451 119 similar to Delaroche's work [De89]. The initial potential 2831 1451 120 parameters were adopted from Koning and Delaroche [Ko97]. A total2831 1451 121 of 7 parameters concerning the central potential depth were 2831 1451 122 estimated with associated covariance matrix, while the geometrical2831 1451 123 parameters were fixed to the result of a similar search for n + 2831 1451 124 Ni-58. Presently obtained potential was used for the calculation 2831 1451 125 of neutron transmission coefficients and DWBA cross sections in 2831 1451 126 the energy region above 20 MeV. Below 20 MeV, the Harper neutron 2831 1451 127 potential [Ha82b] was used for the calculation of transmission 2831 1451 128 coefficients. 2831 1451 129 2831 1451 130 The proton optical potential was also searched to obtain a good 2831 1451 131 description of proton-total reaction cross section as predicted by2831 1451 132 Wellisch-Axen systematic [We96] above 50 MeV. The parameter 2831 1451 133 estimation was carried out by the Marquart-Bayesian approach 2831 1451 134 similar to the neutron OMP, but trying to seek the best parameter 2831 1451 135 to reproduce the reaction cross sections compiled by Carlson 2831 1451 136 [Ca96] and Wellisch values. The experimental data in Carlson 2831 1451 137 [Ca96] was scaled for Ni-60 according to A**(2/3) law. In this 2831 1451 138 search, the geometrical parameters were fixed to be same as the 2831 1451 139 neutron potential. The present potential gives a good description2831 1451 140 of the proton total reaction cross section from 10 MeV to 250 MeV.2831 1451 141 However, after some trial and error to reproduce both the elastic 2831 1451 142 scattering and reaction cross section data for Ni-58, we have 2831 1451 143 employed the following combination of proton potentials: 2831 1451 144 2831 1451 145 0 to 5 MeV : Harper potential [Ha82b] 2831 1451 146 6 to 47 MeV : Koning and Delaroche [Ko97] 2831 1451 147 48 to 260 MeV : Present OMP 2831 1451 148 2831 1451 149 For deuterons, the Lohr-Haeberli [Lo74] global potential was used;2831 1451 150 for alpha particles the McFadden-Satchler [Mc66] potential was 2831 1451 151 used; and for tritons the Becchetti-Greenlees [Be71] potential was2831 1451 152 used. The He-3 channel was ignored. 2831 1451 153 2831 1451 154 The direct collective inelastic scattering to the following level 2831 1451 155 in Ni-60 was considered by the DWBA-mode calculation of ECIS95 2831 1451 156 [Ra96]: 2831 1451 157 2831 1451 158 Jpi Ex(MeV) Deformation length 2831 1451 159 2+ 1.331 0.8535 2831 1451 160 2831 1451 161 The deformation length was determined to much the ENDF/B-VI value 2831 1451 162 at 20 MeV. 2831 1451 163 2831 1451 164 Certain nuclear level densities were modified from the default 2831 1451 165 values in accordance with experimental level-density information 2831 1451 166 as follows. The level density of 57Fe was matched to the observed 2831 1451 167 D-0 value by modifying the pairing energy to 0.15 MeV; the level 2831 1451 168 density of the main competition channel, neutron emission to 60Ni,2831 1451 169 was adjusted to match Fischer et al.'s [Fi86] value of 3.85e3+-25%2831 1451 170 at 11 MeV excitation energy, but then increased slightly (a total 2831 1451 171 density increase of 11%) by using a pairing energy of 1.1 MeV, 2831 1451 172 since Haight's alpha production at 14 MeV is approx. 11% smaller 2831 1451 173 than Fischer et al.'s measurements. Production of residual nuclei 2831 1451 174 59Ni and 56Fe, through (n,2n) and (n,na) reactions, become 2831 1451 175 particularly important above 14 MeV. Pairing energies were 2831 1451 176 adjusted to match the level density for 59Ni at the neutron 2831 1451 177 binding energy (D0=12.9 keV), and Fischer et al.'s result for the 2831 1451 178 56Fe level density at 11 MeV. 2831 1451 179 2831 1451 180 The new Haight et al. [Ha97] LANL/WNR 60Ni(n,x alpha) data up to 2831 1451 181 50 MeV was used to benchmark our model calculations [Ch97] - 2831 1451 182 agreement with experiment was good. 2831 1451 183 2831 1451 184 **************************************************************** 2831 1451 185 2831 1451 186 REFERENCES 2831 1451 187 2831 1451 188 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 2831 1451 189 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 2831 1451 190 Barschall and W. Haeberli, The University of Wisconsin Press, 2831 1451 191 1971) p.682 2831 1451 192 [Bo71] P. Boschung et al, Nucl.Phys. A161, 593 (1971) 2831 1451 193 [Ca96] R.F. Carlson, Atomic Data and Nuclear Data Tables, 63, 2831 1451 194 93 (1996) 2831 1451 195 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2831 1451 196 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2831 1451 197 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2831 1451 198 Driven Technologies: Calculational Method for Heavy Recoils," 2831 1451 199 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2831 1451 200 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2831 1451 201 [Ch97] M.B. Chadwick and P.G. Young, "Model Calculations of 2831 1451 202 n,p + 58,60,61,62,64Ni" in APT PROGRESS REPORT: 1 August - 1 2831 1451 203 September 1997, internal Los Alamos National Laboratory memo T-2831 1451 204 2-97/MS-51, 8 September 1997 from R.E. MacFarlane to L. Waters.2831 1451 205 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 2831 1451 206 National Laboratory report, LA-UR-99-1222 (1999) 2831 1451 207 [Ci68] S. Cierjack et al, report KFK-1000 (1968) 2831 1451 208 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 2831 1451 209 Phys. 20, 477 (1967) 2831 1451 210 [De89] J.P. Delaroche, Y. Wang and J. Rapaport, Phys.Rev.C 39, 2831 1451 211 391 (1989) 2831 1451 212 [Di97] F. Dietrich et al., private communication (1997). 2831 1451 213 [Du67] Yu.V. Dukarevich et al., Nucl.Phys. A92, 433 (1967) 2831 1451 214 [Fe80] M.B. Fedorov et al., 80Kiev, 1, 309(1980) 2831 1451 215 [Fi86] R. Fischer, G. Traxler, M. Uhl at al., Phys Rev C34, 460 2831 1451 216 (1986) 2831 1451 217 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2831 1451 218 National Laboratory Report, LA-13812 (2001). 2831 1451 219 [Fu96] C.Y. Fu, "Effects of shape differences in the level 2831 1451 220 densities of three formalisms on calculated cross sections", 2831 1451 221 personal communication, 1996 (to be published by the IAEA). 2831 1451 222 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)2831 1451 223 [Gu85] P.P. Guss et al, Nucl.Phys. A438, 187 (1985) 2831 1451 224 [Ha82a] J.A. Harvey et al, 82Anterp (1982) p. 856 2831 1451 225 [Ha82b] R.C. Harper and W.L. Alford, J.Phys.G. 8, 153 (1982) 2831 1451 226 [Ha97] R.C. Haight, F.B. Bateman, S.M. Sterbenz et al., Nuclear 2831 1451 227 Data for Science and Technol., Proc. Conf. Trieste, Italy, May 2831 1451 228 1997, Vol. I (Edit. Compositori, Bologna, Italy, 1997) p. 603 2831 1451 229 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2831 1451 230 [Ka85] C. Kalbach, Los Alamos National Laboratory report 2831 1451 231 LA-10248-MS (1985) 2831 1451 232 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 2831 1451 233 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 2831 1451 234 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 2831 1451 235 [Ko97] A. Koning and J.P. Delaroche, private communication. 2831 1451 236 [La83] D.C. Larson et al, report ORNL-TM-8203 (1983) 2831 1451 237 [Lo74] J.M.Lohr and W.Haeberli, Nucl.Phys. A232, 381 (1974) 2831 1451 238 [Mc66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 2831 1451 239 [Mu81] S.F. Mughabghab, M. Divadeenam and N.E. Holden, "Neutron 2831 1451 240 Cross Sections", Vol. 1, Part A (Academic Press, 1981) 2831 1451 241 [Pe73] F.G. Perey, private communication (1973) [EXFOR 10342] 2831 1451 242 [Pe82] C.M. Perey et al, report ORNL-5893 (1982) 2831 1451 243 [Pe88] Pedroni et al, Phys.Rev.C 38, 2052 (1988) 2831 1451 244 [Po81] W. Poenitz, Proc. Conf. on Nuclear Data Evaluation Methods2831 1451 245 and Procedures, Brookhaven National Laboratory Report BNL-NCS- 2831 1451 246 51363, p.249(1981). 2831 1451 247 [Ra96] J. Raynal, "Notes on ECIS94", Service de Physique 2831 1451 248 Theorique, Saclay, France (personal communication through A. J.2831 1451 249 Koning, 1996). 2831 1451 250 [Sc73] W. Schimmerling et al., Phys.Rev.C 7, 248 (1973) 2831 1451 251 [Sm79] A.B. Smith et al., Nucl.Sci.Eng., 72, 293 (1979) 2831 1451 252 [Sm91] D.L. Smith, "Probability, Statistics, and Data Uncertainty2831 1451 253 in Nuclear Science and Technology" (American Nuclear Society, 2831 1451 254 1991) 2831 1451 255 [Sm92] A.B. Smith et al., J.Phys.G, 18, 629 (1992) 2831 1451 256 [St71] P. Stoler et al,, 71Knox, 1, 311 (1971) 2831 1451 257 [Tu73] A.I. Tutubalin et al., Neutron Physics, Proc. Conf., Kiev,2831 1451 258 Ukraine, 1973, Vol. 3 [EXFOR 40417] p. 62 2831 1451 259 [Ul83] J.J. Ullmann, F.P. Brady, C.M. Castaneda, et al., Nucl. 2831 1451 260 Phys. A427, 493 (1984) 2831 1451 261 [We96] H.P. Wellisch and D. Axen, Phys.Rev.C 54, 1329 (1996) 2831 1451 262 [Ya79] Y. Yamanouti, J. Rapaport, S.M. Grimes et al, Nuclear 2831 1451 263 Cross Sections for Technology, Proc. Conf., Knoxville, TN, 2831 1451 264 1979, NBS Special Publication 594 (1980) [EXFOR 10953] 2831 1451 265 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2831 1451 266 report LA-12343-MS (1992) 2831 1451 267 2831 1451 268 **************************************************************** 2831 1451 269 2831 1451 270 ENDF/B-VI MOD 2 Revision, July 1991, D.C. Larson, C.M. Perey, 2831 1451 271 D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 272 2831 1451 273 REVISION 1 CHANGES 2831 1451 274 The resonance region from 1.E-5 eV to 450 keV has been changed,2831 1451 275 based on a SAMMY analysis by F. G. Perey of new 60Ni ORELA data 2831 1451 276 up to 100 keV of Harvey, Hill and Perey. This new work reproduces2831 1451 277 the thermal cross sections and includes the small resonances 2831 1451 278 inadvertently left out in the original file. No background 2831 1451 279 cross sections are required in file 3 in the resonance region. 2831 1451 280 Removed elastic transformation matrix. 2831 1451 281 2831 1451 282 **************************************************************** 2831 1451 283 2831 1451 284 ENDF/B-VI MOD 1 Evaluation, October 1989, D.C. Larson, 2831 1451 285 C.M. Perey, D.M. Hetrick, and C.Y. Fu (ORNL) 2831 1451 286 2831 1451 287 This work employed nuclear model codes including the 2831 1451 288 Distorted Wave Born Approximation (DWBA) program DWUCK (1) 2831 1451 289 and the Hauser-Feshbach code TNG (2,3,4). The TNG code provides 2831 1451 290 energy and angular distributions of particles emitted in the 2831 1451 291 compound and pre-compound reactions, ensures consistency among 2831 1451 292 all reactions, and maintains energy balance. Details pertinent 2831 1451 293 to the contents of this evaluation and extensive comparisons of 2831 1451 294 calculations with experimental data can be found in Hetrick (5). 2831 1451 295 2831 1451 296 ----- DESCRIPTION OF FILES 2831 1451 297 (MF-MT) 2831 1451 298 1-451 GENERAL INFORMATION, REFERENCES, AND DEFINITIONS. 2831 1451 299 2-151 RESONANCE PARAMETERS -- TAKEN FROM REF (6). THE NEGATIVE 2831 1451 300 ENERGY RESONANCES WERE ADJUSTED BY THE AUTHOR, C. M. PEREY2831 1451 301 TO GIVE THE PROPER THERMAL SCATTERING AND CAPTURE. USING 2831 1451 302 THESE MODIFIED RESULTS, NO BACKGROUND IS REQUIRED IN 3/1 2831 1451 303 IE, THE TOTAL, SCATTERING AND CAPTURE IS GIVEN COMPLETELY 2831 1451 304 BY THE RESONANCE PARAMETERS FROM 1.E-5 EV TO 450 KEV. 2831 1451 305 RESONANCE PARAMETERS ARE FROM A REICH-MOORE ANALYSIS WITH 2831 1451 306 THE CODE SAMMY (REF 7). 2831 1451 307 THUS, THE THERMAL CROSS SECTIONS ARE GIVEN BY THE 2831 1451 308 RESONANCE PARAMETERS AND HAVE VALUES: TOTAL 3.9 B, 2831 1451 309 ELASTIC SCATTERING 0.98 B, AND CAPTURE 2.92 B. 2831 1451 310 NOTE THAT THE FLAG HAS BEEN SET TO ALLOW USER CALCULATION 2831 1451 311 OF THE ANGULAR DISTRIBUTIONS FROM THE R-M RESONANCE 2831 1451 312 PARAMETERS, IF THE USER WANTS ANGULAR DISTRIBUTIONS ON 2831 1451 313 A FINER ENERGY GRID THAN GIVEN IN 4/2. 2831 1451 314 3-1 TOTAL CROSS SECTION -- FROM 450 KEV TO 1611 KEV THE DATA 2831 1451 315 OF REF (8) WERE USED. FROM 1611 KEV TO 20 MEV THE DATA 2831 1451 316 OF REF (9) WERE USED. SEVERAL LOWER RESOLUTION DATA SETS 2831 1451 317 WERE ENERGY-BINNED AND CHECKED WITH BINNED DATA FROM 8,9. 2831 1451 318 3-2 ELASTIC SCATTERING CROSS SECTIONS WERE OBTAINED BY 2831 1451 319 SUBTRACTING THE NONELASTIC FROM THE TOTAL 2831 1451 320 3-3 NONELASTIC CROSS SECTION; SUM OF 3-4, 3-16, 3-22, 2831 1451 321 3-28, 3-102, 3-103, 3-104, AND 3-107. 2831 1451 322 3-4 TOTAL INELASTIC CROSS SECTION; SUM OF 3-51, 3-52, .. 2831 1451 323 .., 3-61, AND 3-91 2831 1451 324 3-16 (N,2N) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 325 CODE (2,3,4,5), NO 60NI DATA AVAILABLE. 2831 1451 326 3-22 (N,NA) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 327 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN A EMISS 2831 1451 328 3-28 (N,NP) CROSS SECTIONS WERE CALCULATED BY THE TNG 2831 1451 329 CODE (2,3,4,5). NO 60NI DATA AVAILABLE OTHER THAN P EMISS 2831 1451 330 3-51 TO 3-61 INELASTIC SCATTERING EXCITING LEVELS; RESULTS ARE 2831 1451 331 FROM TNG (2,3,4,5) WHICH INCLUDES DIRECT INTERACTION 2831 1451 332 CROSS SECTIONS FROM DWUCK (1) CALCULATIONS. CALCULATIONS 2831 1451 333 COMPARED WITH EXTENSIVE EXPERIMENTAL DATA (5). 3-51 CROSS2831 1451 334 SECTIONS ABOVE 4.0 MEV ADJUSTED TO BETTER FIT RECENT 2831 1451 335 MEASURED DATA. 2831 1451 336 3-91 INELASTIC SCATTERING EXCITING THE CONTINUUM (TNG 2831 1451 337 CALCULATED). 2831 1451 338 3-102 (N,G) CAPTURE CROSS SECTION TAKEN FROM RESONANCE PARAMETER2831 1451 339 FROM 1.E-5 EV TO 450 KEV. TNG CALCULATIONS WERE 2831 1451 340 NORMALIZED TO THE AVERAGED CROSS SECTION OBTAINED FROM THE2831 1451 341 RESONANCE PARAMETERS FROM 100-450 KEV. THESE NORMALIZED 2831 1451 342 TNG RESULTS WERE USED FROM 450 KEV TO 20 MEV. 2831 1451 343 3-103 (N,P) CROSS SECTIONS FOR EN LESS THAN OR EQUAL TO 12 MEV 2831 1451 344 WERE TAKEN FROM A CURVE DRAWN THROUGH THE DATA OF VONACH 2831 1451 345 ET AL. (10). THIS CURVE WAS CONNECTED TO THE ANL DATA OF 2831 1451 346 GREENWOOD (11) FROM 14.5 TO 15.0 MEV. FROM 15.0 TO 20.0 2831 1451 347 MEV THE DATA OF PAULSEN AND LISKIEN (12) WERE USED 2831 1451 348 AS A GUIDE. THE NEW DATA BY VONACH ET AL. (10) 2831 1451 349 RESULT IN AN INTEGRAL VALUE CLOSE TO THE 2.39 VALUE OF 2831 1451 350 MANNHART (13). 2831 1451 351 3-104 (N,D) CROSS SECTION - ENDF/B-V (14) VALUES WERE NORMALIZED2831 1451 352 TO THE DATA OF GRIMES ET AL. (15). 2831 1451 353 3-107 (N,A) CROSS SECTIONS WERE CALCULATED BY THE 2831 1451 354 TNG CODE (2,3,4,5). LIMITED DATA OTHER THAN A EMISSION. 2831 1451 355 4-2 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS GIVEN FOR 2831 1451 356 ELASTIC SCATTERING ARE FROM ENDF/B-V. AGREE WELL WITH DATA2831 1451 357 IF DESIRED, ANGULAR DISTRIBUTIONS CAN BE CALCULATED BY 2831 1451 358 THE USER ON A FINER ENERGY GRID FROM THE R-M RESONANCE 2831 1451 359 PARAMETERS IN 2/151. 2831 1451 360 6-16 (N,2N) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 361 NEUTRON AND 59NI RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 362 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 363 RAY; TNG CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR2831 1451 364 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 365 THE OUTGOING NEUTRON). COMPARES WELL WITH N EMISSION DATA2831 1451 366 WHEN COMBINED WITH N FROM 6/22, 6/28 AND 6/91. 2831 1451 367 6-22 (N,NA)+(N,AN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 368 NEUTRON, ALPHA, AND 56FE RESIDUAL, AND ENERGY DEPENDENT 2831 1451 369 YIELD BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE 2831 1451 370 GAMMA RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 371 FOR EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY 2831 1451 372 FOR THE OUTGOING NEUTRON; ISOTROPY IS ASSUMED FOR THE 2831 1451 373 ALPHA AND RESIDUAL). 2831 1451 374 6-28 (N,NP)+(N,PN); INCLUDES SIMPLE CONSTANT YIELDS FOR THE 2831 1451 375 NEUTRON, P, AND 59CO RESIDUAL, AND ENERGY DEPENDENT YIELD 2831 1451 376 BASED ON TNG CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA 2831 1451 377 RAY; CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR 2831 1451 378 EACH PRODUCT (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR 2831 1451 379 THE OUTGOING NEUTRON). 2831 1451 380 6-51 THROUGH 6-61 INELASTIC SCATTERING EXCITING LEVELS; EACH 2831 1451 381 SECTION INCLUDES SIMPLE CONSTANT YIELDS FOR THE NEUTRON 2831 1451 382 AND 60NI RESIDUAL; ANGULAR DISTRIBUTIONS ARE GIVEN FOR 2831 1451 383 THE OUTGOING NEUTRON (LEGENDRE COEFFICIENTS COMPUTED 2831 1451 384 BY DWUCK (1) AND TNG (2,3,4,5)), COMPARED WITH DATA IN (5)2831 1451 385 6-91 INELASTIC SCATTERING EXCITING THE CONTINUUM; INCLUDES 2831 1451 386 SIMPLE CONSTANT YIELDS FOR THE NEUTRON AND 60NI 2831 1451 387 RESIDUAL AND ENERGY DEPENDENT YIELD BASED ON TNG 2831 1451 388 CALCULATED GAMMA-RAY SPECTRA FOR THE GAMMA RAY; TNG 2831 1451 389 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN 2831 1451 390 FOR EACH (ANGULAR DISTRIBUTIONS ARE GIVEN ONLY FOR THE 2831 1451 391 OUTGOING NEUTRON). 2831 1451 392 6-103 (N,P) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR P 2831 1451 393 AND 60CO RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 394 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 395 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 396 PRODUCT. COMPARES WELL WITH P EMISSION DATA WHEN COMBINED2831 1451 397 WITH 6/28. 2831 1451 398 6-107 (N,A) REACTION; INCLUDES SIMPLE CONSTANT YIELDS FOR A 2831 1451 399 AND 57FE RESIDUAL, AND ENERGY DEPENDENT YIELD BASED 2831 1451 400 ON CALCULATED GAMMA-RAY SPECTRA FOR GAMMA RAY; 2831 1451 401 CALCULATED NORMALIZED DISTRIBUTIONS ARE GIVEN FOR EACH 2831 1451 402 PRODUCT. COMPARES WELL WITH A EMISSION DATA WHEN COMBINED2831 1451 403 WITH 6/22. 2831 1451 404 12-51 THROUGH 12-61 BRANCHING RATIOS FOR THE LEVELS, COMPILED 2831 1451 405 BY HETRICK ET AL. (5), ARE GIVEN. 2831 1451 406 12-102 (N,G) CAPTURE; MULTIPLICITIES WERE TNG CALCULATED. 2831 1451 407 14-51 THROUGH 14-58 AND 14-102 GAMMA RAY ANGULAR DISTRIBUTIONS 2831 1451 408 ASSUMED TO BE ISOTROPIC. 2831 1451 409 15-102 (N,G) CAPTURE; TNG CALCULATED 2831 1451 410 2831 1451 411 -------------------------------------------------------------- 2831 1451 412 UNCERTAINTY FILES 2831 1451 413 AN LB=8 SECTION IS INCLUDED FOR ALL NON-DERIVED FILES AS 2831 1451 414 REQUIRED BY ENDF/B-VI. 2831 1451 415 2831 1451 416 33-1 UNCERTAINTIES ARE DERIVED FROM 1.E-5 TO 100 EV. FROM 100 2831 1451 417 EV TO 20 MEV THEY ARE EXPLICIT, USING LB=0,1 AND 8. 2831 1451 418 33-2 FROM 1.E-5 TO 100 EV, UNCERTAINTIES ARE EXPLICIT, BASED 2831 1451 419 UPON THERMAL UNCERTAINTY AND OTHER DATA. FROM 100 EV TO 2831 1451 420 20 MEV THE FILES ARE DERIVED. 2831 1451 421 33-3 FROM 1.E-5 TO 450 KEV UNCERTAINTIES ARE DERIVED. FROM 4502831 1451 422 KEV TO 20 MEV UNCERTAINTIES ARE EXPLICIT, USING LB=1 AND 82831 1451 423 33-4 UNCERTAINTIES ARE ALL DERIVED. 2831 1451 424 33-16 COVARIANCES WERE ESTIMATED AS NO DATA AVAILABLE. 2831 1451 425 33-22 UNCERTAINTIES FOR (N,NA) ARE EXPLICIT, ESTIMATED FROM TNG 2831 1451 426 33-28 UNCERTAINTIES FOR (N,NP) ARE EXPLICIT, ESTIMATED FROM DATA2831 1451 427 AND CALCULATION. 2831 1451 428 33-51-91 UNCERTAINTIES FOR INELASTIC SCATTERING ARE EXPLICIT, 2831 1451 429 BASED ON DATA AND CALCULATION UNCERTAINTIES. 2831 1451 430 33-102 UNCERTAINTIES ARE EXPLICIT, BASED ON THERMAL DATA AT LOW 2831 1451 431 ENERGIES, AND CALCULATED RESULTS ABOVE 450 KEV. 2831 1451 432 33-103 COVARIANCES - DATA OF VONACH ET AL. (10) AND CSISRS DATA 2831 1451 433 USED AS A GUIDE. 2831 1451 434 33-104 UNCERTAINTIES ESTIMATED, BASED ON DATA 2831 1451 435 33-107 UNCERTAINTIES EXPLICIT, BASED ON DATA AND TNG RESULTS. 2831 1451 436 ---------------------------------------------------------------- 2831 1451 437 REFERENCES: 2831 1451 438 (1) P.D. Kunz, "DISTORTED WAVE CODE DWUCK72," UNIV. OF 2831 1451 439 COLORADO, UNPUBLISHED (1972). 2831 1451 440 (2) C.Y. Fu, Oak Ridge report ORNL/TM-7042 (1980) 2831 1451 441 (3) C.Y Fu, Neutron Cross Sections from 10 to 50 MeV, Proc. Symp.2831 1451 442 Upton, NY, May 1980, Brookhaven report BNL-NCS-51425 (1980) 2831 1451 443 p. 675 2831 1451 444 (4) K. Shibata and C.Y. Fu, Oak Ridge National Laboratory report 2831 1451 445 ORNL/TM-10093 (1986) 2831 1451 446 (5) D.M. Hetrick, C.Y. Fu, and D.C. Larson, Oak Ridge National 2831 1451 447 Laboratory report ORNL/TM-10219 [ENDF-344] (1987) 2831 1451 448 (6) C.M. Perey, J.A. Harvey, R.L. Macklin, et al., Phys.Rev.C, 2831 1451 449 27, 2556 (1983) 2831 1451 450 (7) N.M. Larson and F.G. Perey, Oak Ridge National Laboratory 2831 1451 451 reports ORNL/TM-7485 (1980); ORNL/TM-9179 (1984); 2831 1451 452 ORNL/TM-9179/R1 (1985); ORNL/TM-9179/R2 (1988) 2831 1451 453 (8) J.A. Harvey, ORELA, 80-M NE110 TA TARGET DATA, SENT TO NNDC 2831 1451 454 (9) J.A. Harvey, ORELA, 80-M NE110 BE BLOCK DATA, SENT TO NNDC 2831 1451 455 (10) H. Vonach, M. Wagner, and R.C. Haight, "Neutron cross 2831 1451 456 sections of 58Ni and 60Ni for 8-12 MeV neutrons," private 2831 1451 457 communication, 1989 2831 1451 458 (11) L.R. Greenwood, report DOE-ER-0046-21 (1985) p. 15 2831 1451 459 (12) A. Paulsen, Nukleonik 10, 91 (1967) 2831 1451 460 (13) W. Mannhart, Proc. Fourth ASTM-Euratom Symp. on Reactor 2831 1451 461 Dosimetry, Vol. II, March 22-26, 1982 (1982) p. 637 2831 1451 462 (14) M. Divadeenam, Brookhaven National Laboratory report 2831 1451 463 BNL-NCS-51346 [ENDF-294] (1979) 2831 1451 464 (15) S.M. Grimes, R.C. Haight, K.R. Alvar, et al., Phys.Rev.C 2831 1451 465 19, 2127 (1979) 2831 1451 466 2831 1451 467 ************************ C O N T E N T S *********************** 2831 1451 468 ***************** Program LINEAR (VERSION 2004-1) ***************2831 1451 469 For All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 470 Data Linearized to Within an Accuracy of .100000000 per-cent 2831 1451 471 ***************** Program RECENT (VERSION 2004-1) ***************2831 1451 472 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 473 Data Linearized to within an Accuracy of .100000000 per-cent 2831 1451 474 ***************** Program SIGMA1 (VERSION 2004-1) ***************2831 1451 475 Data Doppler Broadened to 1500.00000 Kelvin 2831 1451 476 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 477 Data Linearized to Within an Accuracy pf .100000000 per-cent 2831 1451 478 ***************** Program SIGMA1 (VERSION 2004-1) ***************2831 1451 479 Data Doppler Broadened to 12000.0000 Kelvin 2831 1451 480 for All Data Greater than 1.0000E-10 barns in Absolute Value 2831 1451 481 Data Linearized to Within an Accuracy pf .100000000 per-cent 2831 1451 482 ***************** Program FIXUP (Version 2004-1) ****************2831 1451 483 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 484 Corrected Thresholds-----------------------------------------No 2831 1451 485 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 486 Allow Cross Section Deletion---------------------------------No 2831 1451 487 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 488 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 489 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 490 Deleted Duplicate Points-------------------------------------Yes 2831 1451 491 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 492 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 493 Allow Creation of Missing Sections---------------------------No 2831 1451 494 Allow Insertion of Energy Points-----------------------------No 2831 1451 495 Create Uniform Energy Grid-----------------------------------No 2831 1451 496 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 497 **************** Program DICTIN (VERSION 2004-1) ****************2831 1451 498 1 451 591 42831 1451 499 2 151 279 22831 1451 500 3 1 14558 32831 1451 501 3 2 4359 32831 1451 502 3 3 10252 32831 1451 503 3 4 17 12831 1451 504 3 5 9 32831 1451 505 3 16 6 12831 1451 506 3 22 7 12831 1451 507 3 28 7 12831 1451 508 3 51 14 12831 1451 509 3 52 13 12831 1451 510 3 53 12 12831 1451 511 3 54 12 12831 1451 512 3 55 12 12831 1451 513 3 56 11 12831 1451 514 3 57 11 12831 1451 515 3 58 11 12831 1451 516 3 59 11 12831 1451 517 3 60 11 12831 1451 518 3 61 11 12831 1451 519 3 91 11 12831 1451 520 3 102 10126 42831 1451 521 3 103 12 12831 1451 522 3 104 12 12831 1451 523 3 107 133 12831 1451 524 4 2 3747 32831 1451 525 6 5 13370 32831 1451 526 6 16 316 12831 1451 527 6 22 421 12831 1451 528 6 28 413 12831 1451 529 6 51 47 12831 1451 530 6 52 44 12831 1451 531 6 53 7 12831 1451 532 6 54 41 12831 1451 533 6 55 7 12831 1451 534 6 56 41 12831 1451 535 6 57 7 12831 1451 536 6 58 7 12831 1451 537 6 59 7 12831 1451 538 6 60 7 12831 1451 539 6 61 7 12831 1451 540 6 91 1295 12831 1451 541 6 103 819 12831 1451 542 6 107 847 12831 1451 543 12 51 3 12831 1451 544 12 52 3 12831 1451 545 12 53 3 12831 1451 546 12 54 3 12831 1451 547 12 55 3 12831 1451 548 12 56 3 12831 1451 549 12 57 3 12831 1451 550 12 58 3 12831 1451 551 12 59 3 12831 1451 552 12 60 4 12831 1451 553 12 61 3 12831 1451 554 12 102 581 42831 1451 555 14 51 1 12831 1451 556 14 52 1 12831 1451 557 14 53 1 12831 1451 558 14 54 1 12831 1451 559 14 55 1 12831 1451 560 14 56 1 12831 1451 561 14 57 1 12831 1451 562 14 58 1 12831 1451 563 14 59 1 12831 1451 564 14 60 1 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2151 600 12509.0000 .500000000 2350.50000 2.60000000 0.0 0.0 2831 2151 601 28718.0000 .500000000 705.020100 .700000000 0.0 0.0 2831 2151 602 43093.0000 .500000000 105.780000 .200000000 0.0 0.0 2831 2151 603 65201.0000 .500000000 454.740000 .940000000 0.0 0.0 2831 2151 604 86795.0000 .500000000 405.690000 .620000000 0.0 0.0 2831 2151 605 98046.0000 .500000000 1015.80000 .900000000 0.0 0.0 2831 2151 606 107800.000 .500000000 655.410000 .800000000 0.0 0.0 2831 2151 607 138980.000 .500000000 30.6800000 1.18000000 0.0 0.0 2831 2151 608 156320.000 .500000000 489.960000 .500000000 0.0 0.0 2831 2151 609 161690.000 .500000000 1355.40000 .460000000 0.0 0.0 2831 2151 610 186520.000 .500000000 5348.30000 2.90000000 0.0 0.0 2831 2151 611 197580.000 .500000000 2840.50000 1.20000000 0.0 0.0 2831 2151 612 200520.000 .500000000 9.77110000 .630000000 0.0 0.0 2831 2151 613 251900.000 .500000000 548.000000 1.28000000 0.0 0.0 2831 2151 614 256010.000 .500000000 879.700100 .560000000 0.0 0.0 2831 2151 615 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16.9017161 33065.1030 16.5039905 33067.1769 16.16532942831 3 1 1748 33067.3368 16.1393011 33069.2508 15.8655971 33071.5996 15.53102122831 3 1 1749 33071.9975 15.4745551 33073.5320 15.2869164 33075.4643 15.05155512831 3 1 1750 33076.6581 14.9067027 33077.3966 14.8308518 33079.3289 14.63326332831 3 1 1751 33081.2612 14.4365220 33081.3188 14.4306816 33083.1935 14.27250982831 3 1 1752 33085.1258 14.1102558 33085.9794 14.0388761 33086.6916 13.99004532831 3 1 1753 33088.4907 13.8672644 33090.2898 13.7450626 33090.6401 13.72137502831 3 1 1754 33092.0888 13.6421587 33093.8878 13.5442993 33095.3007 13.46781792831 3 1 1755 33095.6868 13.4516969 33097.4859 13.3770238 33099.2850 13.30276402831 3 1 1756 33101.0840 13.2288906 33101.5149 13.2112807 33102.8830 13.17042792831 3 1 1757 33104.6821 13.1170289 33106.1979 13.0722701 33107.5722 13.03185872831 3 1 1758 33107.7291 13.0272622 33108.9465 13.0032771 33110.7789 12.96739022831 3 1 1759 33112.6112 12.9317298 33114.4436 12.8962706 33116.2759 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33228.9060 12.4718837 33233.5453 12.47864662831 3 1 1773 33236.8709 12.4835350 33240.1966 12.4884624 33243.5222 12.49343562831 3 1 1774 33246.8479 12.4984639 33249.3421 12.5022778 33251.8363 12.50613472831 3 1 1775 33253.7628 12.5091523 33254.3306 12.5126243 33256.8248 12.52793402831 3 1 1776 33259.3191 12.5433115 33261.8133 12.5587664 33264.3075 12.57431192831 3 1 1777 33264.5701 12.5759580 33266.1080 12.5961002 33268.0460 12.62155082831 3 1 1778 33269.9841 12.6470815 33271.9221 12.6726991 33273.8602 12.69841632831 3 1 1779 33275.3773 12.7186328 33275.7982 12.7287013 33277.7363 12.77518512831 3 1 1780 33279.6743 12.8218010 33281.6124 12.8685679 33283.4828 12.91385922831 3 1 1781 33283.5504 12.9162742 33285.0040 12.9683212 33286.4575 13.02047292831 3 1 1782 33287.9110 13.0727402 33288.8864 13.1078979 33289.3646 13.13103362831 3 1 1783 33290.8181 13.2014861 33292.2716 13.2720780 33293.7252 13.34282252831 3 1 1784 33294.2900 13.3703711 33295.1787 13.4273938 33296.7292 13.52706212831 3 1 1785 33298.4734 13.6394188 33299.6937 13.7182129 33300.2177 13.76178112831 3 1 1786 33301.9620 13.9070917 33303.7062 14.0526885 33305.0973 14.16905642831 3 1 1787 33305.4504 14.2052008 33307.1947 14.3840746 33308.9389 14.56327212831 3 1 1788 33309.1500 14.5850021 33310.6832 14.7699575 33312.4274 14.98072152831 3 1 1789 33313.2027 15.0745951 33314.7530 15.2914504 33317.0787 15.61742742831 3 1 1790 33317.2554 15.6422449 33319.4044 15.9857065 33321.3081 16.29050782831 3 1 1791 33321.7301 16.3648738 33324.0099 16.7672685 33324.0557 16.77619822831 3 1 1792 33326.3813 17.2302617 33329.3859 17.8177870 33329.4135 17.82319272831 3 1 1793 33332.7300 18.5451270 33334.8171 19.0001008 33336.8676 19.48733162831 3 1 1794 33343.6977 21.1122342 33344.0372 21.1930023 33351.1564 22.91236812831 3 1 1795 33351.6702 23.0362769 33355.1197 23.8135744 33357.1655 24.27379592831 3 1 1796 33357.8719 24.4143981 33361.5966 25.1539582 33362.2021 25.27382582831 3 1 1797 33364.3902 25.6300854 33367.2388 26.0920241 33367.7580 26.15487522831 3 1 1798 33370.1946 26.4481695 33371.7176 26.6305495 33372.6313 26.70092192831 3 1 1799 33375.0679 26.8869982 33375.9175 26.9513075 33377.4929 27.00062462831 3 1 1800 33379.9178 27.0748714 33380.1174 27.0808279 33382.9475 27.03420262831 3 1 1801 33384.4642 27.0079220 33385.9772 26.9116901 33388.8110 26.72911342831 3 1 1802 33389.0069 26.7079829 33392.0366 26.3788257 33393.1578 26.25623942831 3 1 1803 33394.8164 26.0105464 33397.5045 25.6107427 33397.5962 25.59377542831 3 1 1804 33400.7338 25.0114722 33402.9907 24.5913877 33404.5870 24.24674512831 3 1 1805 33408.4127 23.4190497 33408.4769 23.4051371 33415.8805 21.66050162831 3 1 1806 33422.5272 20.0941101 33425.9446 19.2896954 33426.8620 19.08956592831 3 1 1807 33430.6464 18.2652786 33430.9514 18.1989424 33433.1693 17.75787922831 3 1 1808 33435.6922 17.2568670 33435.9743 17.2009212 33437.7426 16.88849142831 3 1 1809 33440.1096 16.4709110 33440.9972 16.3145801 33442.4766 16.08786912831 3 1 1810 33444.8435 15.7258409 33446.0201 15.5462133 33447.2104 15.39149012831 3 1 1811 33448.7884 15.1867430 33450.7562 14.9318256 33451.0430 14.89473312831 3 1 1812 33452.5246 14.7347815 33454.2929 14.5442209 33456.0613 14.35397962831 3 1 1813 33456.0659 14.3534856 33457.8296 14.1981447 33459.5980 14.04269182831 3 1 1814 33461.0888 13.9118835 33461.3663 13.8922127 33463.1347 13.76712932831 3 1 1815 33464.9030 13.6423093 33466.1116 13.5571616 33466.6714 13.52570352831 3 1 1816 33468.4396 13.4265645 33470.0222 13.3380104 33471.1345 13.27588282831 3 1 1817 33471.6047 13.2562834 33473.1873 13.1904635 33474.7698 13.12478542831 3 1 1818 33476.3524 13.0592312 33477.9349 12.9938002 33478.6688 12.96350712831 3 1 1819 33479.5175 12.9391714 33481.1000 12.8938966 33482.6826 12.84871302831 3 1 1820 33484.2651 12.8036188 33485.8477 12.7586013 33486.2032 12.74850552831 3 1 1821 33487.4302 12.7242310 33489.0128 12.6929884 33490.5953 12.66180902831 3 1 1822 33492.1779 12.6306836 33493.7375 12.6000693 33494.3396 12.59208232831 3 1 1823 33496.0769 12.5690977 33497.8143 12.5461607 33499.5517 12.52326762831 3 1 1824 33501.8682 12.4928047 33503.7833 12.4676709 33504.1847 12.46438562831 3 1 1825 33506.5012 12.4454789 33508.8177 12.4266181 33511.1342 12.40779702831 3 1 1826 33513.4507 12.3890104 33515.7672 12.3702537 33518.8519 12.34531932831 3 1 1827 33519.2419 12.3435176 33522.7167 12.3275126 33526.1914 12.31154722831 3 1 1828 33529.6661 12.2956141 33532.8427 12.2810714 33536.8793 12.26261892831 3 1 1829 33540.9160 12.2441915 33544.9526 12.2257858 33548.9892 12.20740222831 3 1 1830 33551.0076 12.2016866 33557.0626 12.1845730 33563.1175 12.16748602831 3 1 1831 33569.1725 12.1504207 33575.2275 12.1333738 33583.3008 12.11066872831 3 1 1832 33589.1722 12.0941728 33591.3741 12.0901806 33599.1378 12.07612242831 3 1 1833 33606.5918 12.0626390 33617.7729 12.0424352 33628.9540 12.02225272831 3 1 1834 33640.1350 12.0020878 33651.3161 11.9819371 33662.4972 11.96179832831 3 1 1835 33677.4053 11.9349621 33692.3134 11.9081404 33707.2215 11.88133062831 3 1 1836 33709.7215 11.8768364 33722.9323 11.8599669 33739.4459 11.83888962831 3 1 1837 33764.2163 11.8072887 33788.9867 11.7757022 33813.7571 11.74412682831 3 1 1838 33838.5275 11.7125604 33863.2979 11.6810010 33896.3251 11.63893072831 3 1 1839 33929.3523 11.5968687 33978.8930 11.5337875 34034.3975 11.46312482831 3 1 1840 34055.2225 11.4366163 34089.9020 11.4009236 34126.9049 11.36284382831 3 1 1841 34200.9108 11.2866914 34274.9167 11.2105465 34367.9560 11.11482622831 3 1 1842 34460.9951 11.0191126 34523.0212 10.9553067 34572.6922 10.91169562831 3 1 1843 34721.7050 10.7808698 34920.3888 10.6064450 35090.6892 10.45694492831 3 1 1844 35204.2228 10.3698410 35431.2900 10.1956403 35658.3572 10.02144392831 3 1 1845 35942.1912 9.83224583 36226.0252 9.64305159 36453.0924 9.491699002831 3 1 1846 36566.6260 9.42556253 36907.2268 9.22715748 37247.8276 9.028755812831 3 1 1847 37361.3612 8.96262325 37588.4284 8.84600600 37838.1430 8.717760182831 3 1 1848 38087.8575 8.58951719 38345.9536 8.45697498 38475.0016 8.390707392831 3 1 1849 38604.0496 8.32444355 38700.8356 8.27474937 38765.3596 8.241622862831 3 1 1850 38829.8836 8.20849946 38878.2765 8.18366002 38926.6695 8.158824012831 3 1 1851 38975.0625 8.13399270 39007.3245 8.11744206 39039.5865 8.100895272831 3 1 1852 39071.8485 8.08435356 39096.0450 8.07195162 39120.2415 8.059554432831 3 1 1853 39139.7299 8.04957377 39153.8090 8.04236688 39159.2182 8.039873752831 3 1 1854 39178.7065 8.03089754 39193.3228 8.02417025 39207.9390 8.017448192831 3 1 1855 39222.5553 8.01073239 39237.1715 8.00402443 39246.9157 7.999557692831 3 1 1856 39256.6598 7.99509604 39266.4040 7.99064030 39276.1481 7.986191672831 3 1 1857 39285.1642 7.98208291 39294.1803 7.97798280 39303.1964 7.973893152831 3 1 1858 39309.9585 7.97083413 39316.7206 7.96778359 39323.4827 7.964743192831 3 1 1859 39330.2447 7.96171524 39334.7528 7.95970497 39339.2608 7.957702972831 3 1 1860 39343.7689 7.95571091 39348.2769 7.95373129 39352.3438 7.951958772831 3 1 1861 39356.4107 7.95020250 39359.1219 7.94904296 39361.8332 7.947894472831 3 1 1862 39364.5444 7.94675933 39367.2557 7.94564023 39369.9669 7.944540662831 3 1 1863 39372.0004 7.94373124 39374.0338 7.94293727 39376.0673 7.942161152831 3 1 1864 39378.1007 7.94140580 39380.1341 7.94067449 39382.1676 7.939971002831 3 1 1865 39384.2010 7.93929980 39385.2770 7.93896435 39386.2344 7.940056092831 3 1 1866 39387.5901 7.94162555 39388.9457 7.94321592 39390.3013 7.944829382831 3 1 1867 39392.1021 7.94701237 39393.4377 7.94866376 39394.7733 7.950345582831 3 1 1868 39396.1089 7.95206067 39397.4445 7.95381205 39398.7800 7.955602872831 3 1 1869 39400.1156 7.95743694 39401.4512 7.95931790 39402.7867 7.961249652831 3 1 1870 39404.1223 7.96323682 39405.4579 7.96528390 39406.7934 7.967395642831 3 1 1871 39406.8089 7.96742096 39408.1290 7.97308294 39409.4646 7.978887012831 3 1 1872 39410.8002 7.98477255 39412.1358 7.99074579 39413.4713 7.996812782831 3 1 1873 39414.8069 8.00298130 39416.1425 8.00925810 39417.3256 8.014920792831 3 1 1874 39417.4780 8.01619498 39418.8136 8.02748537 39420.1491 8.038906732831 3 1 1875 39421.4807 8.05043440 39422.8123 8.06211023 39424.1439 8.073943182831 3 1 1876 39425.4754 8.08594156 39426.8070 8.09811661 39427.5930 8.105412592831 3 1 1877 39428.1385 8.11325154 39429.4701 8.13258215 39430.8016 8.152116442831 3 1 1878 39432.1332 8.17186741 39433.4648 8.19184365 39434.7964 8.212055272831 3 1 1879 39436.1279 8.23251074 39436.5578 8.23919761 39437.4595 8.258595802831 3 1 1880 39438.7910 8.28750527 39440.7884 8.33139047 39442.3205 8.365490422831 3 1 1881 39444.0531 8.40452908 39444.2199 8.40833767 39445.7858 8.454517002831 3 1 1882 39447.5184 8.50615045 39449.2511 8.55833871 39450.9837 8.611087122831 3 1 1883 39451.8820 8.63873204 39452.7163 8.67051025 39454.4489 8.737081942831 3 1 1884 39456.6308 8.82174201 39459.2618 8.92504464 39459.5441 8.936268832831 3 1 1885 39461.8928 9.04655620 39464.5238 9.17135586 39467.2062 9.299889162831 3 1 1886 39467.5719 9.31998351 39471.0371 9.51210983 39475.0799 9.738170222831 3 1 1887 39478.6993 9.94211874 39482.4197 10.1591049 39488.7485 10.52826492831 3 1 1888 39492.6630 10.7548903 39494.0234 10.8327966 39496.5902 10.95944192831 3 1 1889 39500.4021 11.1442593 39501.8780 11.2144407 39503.3797 11.27117382831 3 1 1890 39506.7936 11.3966412 39507.7690 11.4313390 39509.9380 11.48798132831 3 1 1891 39512.3406 11.5478977 39512.8129 11.5549598 39515.6878 11.59452952831 3 1 1892 39517.5564 11.6179481 39518.5626 11.6221032 39520.0000 11.62668992831 3 1 1893 39520.1643 11.6270595 39522.8749 11.6110453 39525.0516 11.59547802831 3 1 1894 39525.7498 11.5832451 39528.6247 11.5293937 39529.9389 11.50325562831 3 1 1895 39531.4996 11.4538607 39534.4515 11.3571924 39537.2699 11.26202342831 3 1 1896 39537.4034 11.2559185 39540.7532 11.0995029 39544.0259 10.94386032831 3 1 1897 39545.5018 10.8725734 39547.9148 10.7351807 39553.4976 10.41359912831 3 1 1898 39557.0784 10.2062606 39564.3427 9.77628085 39567.2023 9.608180202831 3 1 1899 39568.2893 9.54936888 39572.1957 9.33988372 39575.5406 9.162336982831 3 1 1900 39575.8735 9.14482369 39577.7705 9.05869058 39580.0004 8.958338232831 3 1 1901 39582.4430 8.84948006 39584.5447 8.75679511 39584.8855 8.744198852831 3 1 1902 39587.3280 8.65507100 39588.9564 8.59628644 39590.5847 8.538009412831 3 1 1903 39591.0481 8.52156566 39592.2131 8.48720803 39594.0460 8.433735832831 3 1 1904 39596.0834 8.37500313 39597.5515 8.33313593 39597.6115 8.331799082831 3 1 1905 39599.1396 8.29814365 39600.6677 8.26486723 39602.1958 8.231956192831 3 1 1906 39603.7239 8.19939635 39605.2519 8.16717520 39606.2227 8.146908162831 3 1 1907 39606.7801 8.13850378 39608.3081 8.11577143 39609.3268 8.100778832831 3 1 1908 39610.8830 8.07811546 39612.4392 8.05572789 39613.9954 8.033600402831 3 1 1909 39614.8939 8.02096593 39615.5515 8.01503653 39617.1077 8.001234232831 3 1 1910 39618.6638 7.98764762 39620.2200 7.97426073 39621.7761 7.961061572831 3 1 1911 39623.3323 7.94803526 39624.4995 7.93837150 39625.6666 7.928794082831 3 1 1912 39626.8338 7.91929642 39627.9007 7.91068428 39628.0008 7.910233882831 3 1 1913 39629.1680 7.90505340 39630.3351 7.89994038 39631.5022 7.894890222831 3 1 1914 39632.6693 7.88989898 39633.8364 7.88496289 39635.3003 7.878844022831 3 1 1915 39636.9127 7.87219042 39638.5249 7.86561974 39640.1373 7.859122662831 3 1 1916 39640.9074 7.85605176 39641.7496 7.85446560 39643.3619 7.851489912831 3 1 1917 39644.9742 7.84856909 39646.5865 7.84569767 39648.1988 7.842870662831 3 1 1918 39649.8112 7.84008334 39651.4234 7.83733209 39653.0358 7.834612482831 3 1 1919 39654.6481 7.83192164 39656.2604 7.82925633 39657.8727 7.826613822831 3 1 1920 39659.4850 7.82399161 39661.0973 7.82138750 39663.2471 7.817940002831 3 1 1921 39665.3968 7.81451718 39666.9209 7.81210534 39667.5466 7.811647462831 3 1 1922 39669.4757 7.81025113 39672.0386 7.80841520 39674.6015 7.806597742831 3 1 1923 39677.1643 7.80479574 39680.5815 7.80241263 39683.9986 7.800047752831 3 1 1924 39687.4158 7.79769732 39690.8329 7.79535867 39695.9585 7.791868172831 3 1 1925 39701.0843 7.78839395 39706.2099 7.78493268 39709.6270 7.782630992831 3 1 1926 39716.4613 7.77803909 39723.2955 7.77346001 39729.0710 7.769598462831 3 1 1927 39737.7342 7.76381778 39746.3973 7.75804877 39755.0605 7.752289232831 3 1 1928 39763.7237 7.74653765 39769.4991 7.74270711 39781.0500 7.735053722831 3 1 1929 39792.6009 7.72740906 39804.1518 7.71977156 39815.7026 7.712140092831 3 1 1930 39829.5358 7.70300717 39840.3444 7.69587573 39843.3690 7.694106722831 3 1 1931 39857.2022 7.68602089 39877.9520 7.67389955 39898.7018 7.661785352831 3 1 1932 39919.4516 7.64967676 39940.2013 7.63757270 39967.8677 7.621439352831 3 1 1933 39995.5341 7.60531093 40023.2005 7.58918641 40055.3725 7.570439852831 3 1 1934 40092.0501 7.54907183 40147.0666 7.51702539 40202.0831 7.484983952831 3 1 1935 40257.0995 7.45294627 40330.4548 7.41023341 40414.2895 7.361422672831 3 1 1936 40498.1241 7.31261496 40562.6123 7.27507269 40623.8761 7.233234092831 3 1 1937 40768.9746 7.13414758 40872.1557 7.06368807 40975.3368 6.993231282831 3 1 1938 41026.9274 6.95108039 41181.6990 6.82463194 41284.8801 6.740336102831 3 1 1939 41309.6312 6.71568777 41394.9193 6.63075629 41522.8513 6.503363422831 3 1 1940 41554.4602 6.47188919 41629.5316 6.38164792 41700.6517 6.296159892831 3 1 1941 41712.5050 6.28191252 41771.7718 6.19812444 41842.8919 6.097583122831 3 1 1942 41870.5497 6.05848583 41914.0121 5.98529941 41967.3522 5.895483962831 3 1 1943 41989.0833 5.85889457 42020.6923 5.79574760 42074.0324 5.689193282831 3 1 1944 42107.6169 5.62210798 42123.6683 5.58443111 42155.5242 5.509660982831 3 1 1945 42186.6392 5.43663371 42187.3801 5.43460386 42219.2360 5.347332752831 3 1 1946 42251.0919 5.26006720 42282.9478 5.17280834 42306.8398 5.096024412831 3 1 1947 42330.7317 5.01924633 42347.1535 4.96647867 42356.2844 4.932501742831 3 1 1948 42375.5340 4.86087839 42394.7836 4.78926152 42411.3591 4.727600232831 3 1 1949 42414.0332 4.71608813 42433.2827 4.63322803 42447.7199 4.571090552831 3 1 1950 42462.1570 4.50896199 42469.7819 4.47615466 42476.5942 4.442978062831 3 1 1951 42486.2190 4.39611175 42495.8438 4.34925300 42505.4251 4.302615682831 3 1 1952 42509.2618 4.28394491 42512.5786 4.26601295 42519.7320 4.227348872831 3 1 1953 42526.8855 4.18869901 42531.6544 4.16294507 42536.4234 4.137204642831 3 1 1954 42540.0001 4.11791218 42543.5768 4.09863416 42547.1536 4.079374482831 3 1 1955 42549.5381 4.06654816 42551.9226 4.05373492 42554.3071 4.040937292831 3 1 1956 42556.6915 4.02815880 42559.0760 4.01540193 42560.8644 4.005851152831 3 1 1957 42562.6527 3.99631767 42564.4411 3.98680269 42566.2294 3.977309772831 3 1 1958 42568.0178 3.96784063 42569.8061 3.95839944 42571.5945 3.948988572831 3 1 1959 42573.3829 3.93961235 42575.1712 3.93027548 42576.9595 3.920982002831 3 1 1960 42578.2177 3.91447207 42579.4758 3.90798848 42580.7340 3.901532212831 3 1 1961 42581.6415 3.89689710 42581.9921 3.89555443 42583.2503 3.890768152831 3 1 1962 42584.5084 3.88601679 42585.7666 3.88130206 42587.0247 3.876627332831 3 1 1963 42588.2829 3.87199460 42589.5410 3.86740747 42590.7992 3.862868212831 3 1 1964 42592.0573 3.85838069 42593.3155 3.85394743 42594.5736 3.849572542831 3 1 1965 42594.8015 3.84879119 42595.8318 3.84724468 42597.0899 3.845421392831 3 1 1966 42598.3481 3.84366685 42599.6062 3.84198519 42600.8644 3.840380092831 3 1 1967 42602.1225 3.83885586 42603.3807 3.83741638 42604.6388 3.836066082831 3 1 1968 42604.6714 3.83603351 42605.8970 3.83682092 42607.1551 3.837726832831 3 1 1969 42607.9614 3.83838969 42609.0424 3.84098204 42610.9296 3.845751862831 3 1 1970 42612.8168 3.85078040 42614.5414 3.85562527 42614.7040 3.856485322831 3 1 1971 42616.5913 3.86675506 42618.4957 3.87742259 42620.4087 3.888459582831 3 1 1972 42621.1214 3.89269597 42622.3217 3.90327964 42624.2348 3.920493542831 3 1 1973 42626.1478 3.93806105 42627.7013 3.95262127 42628.0608 3.957113592831 3 1 1974 42629.9738 3.98138627 42631.8869 4.00603144 42634.2813 4.037420062831 3 1 1975 42634.4376 4.03996011 42636.9883 4.08206746 42638.8718 4.113573012831 3 1 1976 42640.8613 4.14726703 42641.3636 4.15749596 42643.8553 4.208800862831 3 1 1977 42647.5929 4.28672201 42650.7313 4.35304425 42652.0309 4.383543852831 3 1 1978 42658.3314 4.53297081 42666.0130 4.71558294 42669.3549 4.794175112831 3 1 1979 42671.3207 4.83553662 42674.4661 4.90034748 42676.0782 4.927761692831 3 1 1980 42679.7347 4.98805053 42681.1972 5.01143012 42682.7130 5.028369462831 3 1 1981 42685.6912 5.06011657 42686.2456 5.06568793 42689.0925 5.081066212831 3 1 1982 42690.6334 5.08839895 42691.9239 5.08760899 42694.7554 5.084131112831 3 1 1983 42696.0434 5.08172972 42697.5868 5.07007352 42699.0025 5.058696302831 3 1 1984 42700.4627 5.04614526 42702.4776 5.01757031 42705.6053 4.970760992831 3 1 1985 42705.9526 4.96355478 42709.4276 4.88882441 42710.7480 4.859491312831 3 1 1986 42712.9026 4.80065238 42715.5054 4.72805189 42715.6431 4.723555562831 3 1 1987 42719.5237 4.59468901 42721.5918 4.52492265 42722.9443 4.473300092831 3 1 1988 42726.6008 4.33223038 42728.8812 4.24340190 42731.8496 4.118429992831 3 1 1989 42744.7653 3.57154148 42749.4769 3.37314129 42749.5572 3.369948302831 3 1 1990 42752.9311 3.23668936 42755.5961 3.13206949 42757.3337 3.064265182831 3 1 1991 42758.2610 3.03052679 42760.9260 2.93423410 42762.5716 2.875206122831 3 1 1992 42763.5909 2.84106937 42765.3675 2.78196740 42767.5123 2.711043712831 3 1 1993 42767.8095 2.70128069 42769.6571 2.64506261 42771.8019 2.580264372831 3 1 1994 42773.0474 2.54289996 42773.9467 2.51801810 42776.0915 2.459120142831 3 1 1995 42777.7001 2.41523027 42778.2853 2.39934918 42779.3087 2.373769042831 3 1 1996 42780.9173 2.33379035 42782.5258 2.29403511 42783.5231 2.269518082831 3 1 1997 42784.1344 2.25564625 42785.7430 2.21934775 42787.3516 2.183244932831 3 1 1998 42788.7610 2.15177657 42788.9602 2.14771754 42790.5688 2.115117502831 3 1 1999 42792.1774 2.08268630 42793.7860 2.05041496 42795.3946 2.018294622831 3 1 2000 42796.6179 1.99397609 42797.0032 1.98700191 42798.6118 1.958018912831 3 1 2001 42800.1779 1.92992218 42801.6592 1.90344945 42803.1405 1.877070312831 3 1 2002 42804.4746 1.85339151 42804.6218 1.85097957 42806.1031 1.826789862831 3 1 2003 42807.5843 1.80267848 42809.0657 1.77863543 42810.5469 1.754662342831 3 1 2004 42812.0282 1.73074975 42813.5094 1.70689655 42814.9504 1.683751212831 3 1 2005 42815.4844 1.67570707 42817.4595 1.64604091 42819.4345 1.616454832831 3 1 2006 42821.4095 1.58694007 42823.3845 1.55749023 42825.3596 1.528098172831 3 1 2007 42827.3346 1.49876201 42828.9533 1.47475947 42829.3096 1.469696102831 3 1 2008 42831.2846 1.44167637 42833.7535 1.40671160 42836.2222 1.371815292831 3 1 2009 42838.1972 1.34394358 42840.1723 1.31611099 42842.1473 1.288320822831 3 1 2010 42843.0618 1.27547244 42844.1223 1.26122060 42846.0973 1.234723022831 3 1 2011 42848.0724 1.20827076 42850.0474 1.18186978 42852.0224 1.155522812831 3 1 2012 42853.6431 1.13395055 42853.9974 1.12950894 42855.9725 1.104812902831 3 1 2013 42857.9475 1.08018891 42859.9225 1.05564293 42860.6974 1.046045982831 3 1 2014 42861.8975 1.03220413 42863.5077 1.01370208 42865.3755 .9923261092831 3 1 2015 42865.9881 .985348325 42867.2434 .972321466 42869.1113 .9530478392831 3 1 2016 42870.9791 .933895982 42871.2787 .930845097 42872.8469 .9165646302831 3 1 2017 42874.7148 .899698325 42874.8058 .898884214 42876.5827 .8848549172831 3 1 2018 42878.3329 .871194234 42878.4506 .870420738 42880.3184 .8583278042831 3 1 2019 42881.8600 .848508316 42882.1862 .846908954 42884.0541 .8379605682831 3 1 2020 42885.5365 .831037156 42885.9220 .829903105 42887.7898 .8246477772831 3 1 2021 42889.2129 .820837330 42889.6577 .820369086 42891.5255 .8186718232831 3 1 2022 42891.6638 .818567148 42893.3934 .820068445 42894.7276 .8214392842831 3 1 2023 42895.0340 .822078088 42895.2612 .822784365 42897.1290 .8289021552831 3 1 2024 42897.7912 .831186167 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2037 42953.0558 2.75075464 42954.3208 2.84170578 42956.0207 2.963082442831 3 1 2038 42958.5902 3.15903063 42959.2820 3.21133844 42962.1362 3.441601612831 3 1 2039 42962.8062 3.49946839 42965.6703 3.74477110 42966.5834 3.829145372831 3 1 2040 42969.1046 4.06024829 42970.1413 4.16277070 42972.4391 4.388232562831 3 1 2041 42973.6990 4.52178164 42975.7736 4.74008331 42976.9760 4.877113522831 3 1 2042 42979.1081 5.11860945 42979.7517 5.19723160 42981.9212 5.460645652831 3 1 2043 42983.4550 5.66219258 42985.3586 5.91096859 42986.1483 6.023738182831 3 1 2044 42988.7961 6.40031385 42988.8416 6.40739374 42992.2336 6.933055762831 3 1 2045 42992.4019 6.96160924 42995.6710 7.51409997 42995.9622 7.567973972831 3 1 2046 42999.1084 8.14814828 42999.9519 8.31571819 43001.3854 8.599778642831 3 1 2047 43003.5691 9.06183450 43004.1902 9.19299796 43006.9949 9.828914882831 3 1 2048 43008.3196 10.1508027 43009.7996 10.5099086 43012.6043 11.23775282831 3 1 2049 43015.3159 11.9877521 43016.7856 12.4258365 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