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 0.0 0.0 1 0 486 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 FIXUP (Version 2004-1) ****************2831 1451 475 Corrected ZA/AWR in All Sections-----------------------------Yes 2831 1451 476 Corrected Thresholds-----------------------------------------No 2831 1451 477 Extended Cross Sections to 20 MeV----------------------------No 2831 1451 478 Allow Cross Section Deletion---------------------------------No 2831 1451 479 Allow Cross Section Reconstruction---------------------------Yes 2831 1451 480 Make All Cross Sections Non-Negative-------------------------Yes 2831 1451 481 Delete Energies Not in Ascending Order-----------------------Yes 2831 1451 482 Deleted Duplicate Points-------------------------------------Yes 2831 1451 483 Check for Ascending MAT/MF/MT Order--------------------------Yes 2831 1451 484 Check for Legal MF/MT Numbers--------------------------------Yes 2831 1451 485 Allow Creation of Missing Sections---------------------------No 2831 1451 486 Allow Insertion of Energy Points-----------------------------No 2831 1451 487 Create Uniform Energy Grid-----------------------------------No 2831 1451 488 Delete Section if Cross Section =0 at All Energies-----------Yes 2831 1451 489 **************** Program DICTIN (VERSION 2004-1) ****************2831 1451 490 1 451 583 42831 1451 491 2 151 279 22831 1451 492 3 1 30450 32831 1451 493 3 2 30428 32831 1451 494 3 3 29951 32831 1451 495 3 4 17 12831 1451 496 3 5 9 32831 1451 497 3 16 6 12831 1451 498 3 22 7 12831 1451 499 3 28 7 12831 1451 500 3 51 14 12831 1451 501 3 52 13 12831 1451 502 3 53 12 12831 1451 503 3 54 12 12831 1451 504 3 55 12 12831 1451 505 3 56 11 12831 1451 506 3 57 11 12831 1451 507 3 58 11 12831 1451 508 3 59 11 12831 1451 509 3 60 11 12831 1451 510 3 61 11 12831 1451 511 3 91 11 12831 1451 512 3 102 29931 42831 1451 513 3 103 12 12831 1451 514 3 104 12 12831 1451 515 3 107 13 12831 1451 516 4 2 3747 32831 1451 517 6 5 13370 32831 1451 518 6 16 316 12831 1451 519 6 22 421 12831 1451 520 6 28 413 12831 1451 521 6 51 47 12831 1451 522 6 52 44 12831 1451 523 6 53 7 12831 1451 524 6 54 41 12831 1451 525 6 55 7 12831 1451 526 6 56 41 12831 1451 527 6 57 7 12831 1451 528 6 58 7 12831 1451 529 6 59 7 12831 1451 530 6 60 7 12831 1451 531 6 61 7 12831 1451 532 6 91 1295 12831 1451 533 6 103 819 12831 1451 534 6 107 847 12831 1451 535 12 51 3 12831 1451 536 12 52 3 12831 1451 537 12 53 3 12831 1451 538 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21269.9351 13.28008972831 3 1 1772 21269.9874 13.2748851 21270.0397 13.2700591 21270.0920 13.26557542831 3 1 1773 21270.1443 13.2614018 21270.1966 13.2575098 21270.2489 13.25387412831 3 1 1774 21270.3012 13.2504722 21270.3535 13.2472840 21270.4058 13.24429142831 3 1 1775 21270.4581 13.2414784 21270.5104 13.2388302 21270.5627 13.23633402831 3 1 1776 21270.6150 13.2339779 21270.6673 13.2317510 21270.7196 13.22964392831 3 1 1777 21270.8242 13.2257540 21270.9288 13.2222470 21271.0334 13.21907142831 3 1 1778 21271.1380 13.2161844 21271.2426 13.2135497 21271.3472 13.21113662831 3 1 1779 21271.3995 13.2100049 21271.4780 13.2083916 21271.5564 13.20687452831 3 1 1780 21271.6610 13.2049837 21271.7918 13.2028101 21271.9225 13.20082462831 3 1 1781 21272.0533 13.1990005 21272.1840 13.1973207 21272.3148 13.19576552831 3 1 1782 21272.4455 13.1943231 21272.5763 13.1929786 21272.7070 13.19172342831 3 1 1783 21272.8378 13.1905460 21272.9685 13.1894402 21273.0993 13.18839722831 3 1 1784 21273.2300 13.1874123 21273.3608 13.1864785 21273.4915 13.18559242831 3 1 1785 21273.6223 13.1847482 21273.7530 13.1839435 21273.8838 13.18317382831 3 1 1786 21274.0145 13.1824370 21274.2760 13.1810494 21274.5375 13.17976232831 3 1 1787 21274.7990 13.1785606 21275.0605 13.1774318 21275.3220 13.17636572831 3 1 1788 21275.5835 13.1753539 21275.8450 13.1743893 21276.1065 13.17346592831 3 1 1789 21276.3680 13.1725786 21276.6295 13.1717233 21276.8910 13.17089602831 3 1 1790 21277.1525 13.1700938 21277.4140 13.1693137 21277.6755 13.16855372831 3 1 1791 21277.9370 13.1678114 21278.4600 13.1663734 21278.9830 13.16498792831 3 1 1792 21279.5060 13.1636455 21280.0290 13.1623389 21280.5520 13.16106232831 3 1 1793 21281.0750 13.1598111 21281.5980 13.1585814 21282.1210 13.15737012831 3 1 1794 21282.6440 13.1561746 21283.1670 13.1549929 21283.6900 13.15382302831 3 1 1795 21284.2130 13.1526636 21284.7360 13.1515134 21285.2590 13.15037122831 3 1 1796 21285.7820 13.1492362 21286.8280 13.1469846 21287.8740 13.14475332831 3 1 1797 21288.9200 13.1425387 21289.9660 13.1403375 21291.0120 13.13814742831 3 1 1798 21292.0580 13.1359668 21293.1040 13.1337940 21294.1500 13.13162802831 3 1 1799 21295.7190 13.1283895 21297.2880 13.1251614 21298.8570 13.12194202831 3 1 1800 21300.4260 13.1187298 21302.5180 13.1144559 21304.6100 13.11019082831 3 1 1801 21306.7020 13.1059328 21308.7940 13.1016810 21313.5765 13.09197962831 3 1 1802 21318.3589 13.0822990 21327.9238 13.0629848 21337.4887 13.04372082831 3 1 1803 21347.0536 13.0244989 21366.1834 12.9861676 21385.3132 12.94797572831 3 1 1804 21461.8323 12.7965060 21576.2252 12.5737221 21690.6180 12.35505062831 3 1 1805 21919.4037 11.9289538 22148.1894 11.5161333 22376.9751 11.11462922831 3 1 1806 22605.7608 10.7225850 22720.1537 10.5295601 22834.5465 10.33826072831 3 1 1807 22948.9394 10.1485066 23006.1358 10.0541636 23034.7340 10.00712022831 3 1 1808 23063.3322 9.96016112 23120.5286 9.86649718 23177.7250 9.773183262831 3 1 1809 23234.9214 9.68025309 23292.1178 9.58777917 23317.1374 9.547504312831 3 1 1810 23342.1570 9.50736124 23367.1766 9.46737515 23392.1962 9.427580292831 3 1 1811 23410.9609 9.39788742 23429.7256 9.36835472 23448.4903 9.339016562831 3 1 1812 23467.2550 9.30991797 23479.7648 9.29068083 23492.2746 9.271599002831 3 1 1813 23504.7844 9.25270032 23517.2942 9.23401934 23529.8040 9.215599342831 3 1 1814 23542.3138 9.19749513 23554.8236 9.17977685 23567.3334 9.162535472831 3 1 1815 23573.5883 9.15412960 23579.8432 9.14589062 23586.0981 9.137839862831 3 1 1816 23592.3530 9.13000219 23598.6079 9.12240672 23604.8628 9.115087742831 3 1 1817 23611.1177 9.10808589 23617.3726 9.10144955 23623.6275 9.095236762831 3 1 1818 23629.8824 9.08951760 23636.1373 9.08437734 23642.3922 9.079920622831 3 1 1819 23648.6471 9.07627696 23654.9020 9.07360825 23661.1569 9.072119122831 3 1 1820 23664.2844 9.07189591 23667.4118 9.07207115 23670.5393 9.072689792831 3 1 1821 23673.6667 9.07380328 23676.7942 9.07547091 23679.9216 9.077761022831 3 1 1822 23683.0491 9.08075318 23686.1765 9.08453976 23689.3040 9.089229482831 3 1 1823 23692.4314 9.09494984 23695.5589 9.10185256 23698.6863 9.110117632831 3 1 1824 23701.8138 9.11996208 23704.9412 9.13164682 23708.0687 9.145491082831 3 1 1825 23709.6324 9.15334146 23711.1961 9.16188495 23712.7599 9.171185742831 3 1 1826 23714.3236 9.18131380 23715.8873 9.19234943 23717.4510 9.204382282831 3 1 1827 23719.0148 9.21751426 23720.5785 9.23185799 23722.1422 9.247543902831 3 1 1828 23723.7059 9.26471949 23725.2697 9.28355450 23726.8334 9.304239682831 3 1 1829 23728.3971 9.32699842 23729.9608 9.35208755 23731.5246 9.379806972831 3 1 1830 23733.0883 9.41050069 23734.6520 9.44457761 23736.2157 9.482517402831 3 1 1831 23737.4667 9.51602994 23738.4050 9.54322827 23739.3432 9.572370302831 3 1 1832 23739.9686 9.59296621 23741.2196 9.63724133 23742.4706 9.686069742831 3 1 1833 23743.7216 9.74007338 23744.9726 9.79998437 23746.2235 9.866663762831 3 1 1834 23747.4745 9.94115413 23748.1000 9.98170368 23748.7255 10.02468702831 3 1 1835 23749.3510 10.0702989 23749.9765 10.1187542 23750.6020 10.17028992831 3 1 1836 23751.2275 10.2251685 23751.8530 10.2836811 23752.4784 10.34614032831 3 1 1837 23753.1039 10.4129263 23753.7294 10.4844313 23754.3549 10.56110512831 3 1 1838 23754.9804 10.6434519 23755.6059 10.7320394 23756.2314 10.82750782831 3 1 1839 23756.8569 10.9305808 23757.4824 11.0420803 23758.1079 11.16294102831 3 1 1840 23758.7333 11.2942095 23759.3588 11.4371513 23759.9843 11.59315442831 3 1 1841 23760.6098 11.7638445 23761.2353 11.9511068 23761.8608 12.15713652831 3 1 1842 23762.4863 12.3845016 23763.1118 12.6362199 23763.7373 12.91585732831 3 1 1843 23764.0501 13.0674636 23764.3628 13.2276480 23764.6755 13.39711632831 3 1 1844 23764.9882 13.5765905 23765.3010 13.7669257 23765.6137 13.96887212831 3 1 1845 23765.9265 14.1835190 23766.2392 14.4117879 23766.5520 14.65499562831 3 1 1846 23766.8647 14.9142818 23767.1775 15.1912497 23767.4902 15.48731862831 3 1 1847 23767.8029 15.8043506 23768.1157 16.1444405 23768.4284 16.50958692831 3 1 1848 23768.7412 16.9025062 23769.0539 17.3257337 23769.3667 17.78267532831 3 1 1849 23769.6794 18.2765723 23769.9922 18.8117346 23770.3049 19.39234072831 3 1 1850 23770.6177 20.0238945 23770.9304 20.7118281 23771.2431 21.46298532831 3 1 1851 23771.5559 22.2852375 23771.8686 23.1867556 23772.1814 24.17809312831 3 1 1852 23772.4941 25.2700691 23772.8069 26.4765581 23773.1196 27.81194712831 3 1 1853 23773.2760 28.5337067 23773.4324 29.2945478 23773.5888 30.09706662831 3 1 1854 23773.7451 30.9434896 23773.9015 31.8378790 23774.0578 32.78227672831 3 1 1855 23774.2142 33.7812992 23774.3706 34.8379991 23774.5270 35.95625442831 3 1 1856 23774.6833 37.1394096 23774.8397 38.3933472 23774.9961 39.72194932831 3 1 1857 23775.1525 41.1300743 23775.3088 42.6218237 23775.4652 44.20438932831 3 1 1858 23775.6216 45.8822958 23775.7780 47.6611070 23775.9343 49.54518602831 3 1 1859 23776.0907 51.5424868 23776.2471 53.6571979 23776.4035 55.89432792831 3 1 1860 23776.5598 58.2567709 23776.7162 60.7511723 23776.8726 63.37854362831 3 1 1861 23776.9976 65.5747310 23777.1227 67.8579552 23777.2478 70.22510272831 3 1 1862 23777.3729 72.6736065 23777.4980 75.1995139 23777.6231 77.79726392831 3 1 1863 23777.7482 80.4594552 23777.8733 83.1766121 23777.9984 85.93696222831 3 1 1864 23778.1235 88.7262343 23778.2486 91.5274997 23778.3737 94.32107242831 3 1 1865 23778.4363 95.7091670 23778.4988 97.0844931 23778.5614 98.44822242831 3 1 1866 23778.6239 99.7926210 23778.6865 101.118461 23778.7490 102.4178552831 3 1 1867 23778.8116 103.691181 23778.8741 104.930504 23778.9367 106.1358352831 3 1 1868 23778.9992 107.299321 23779.0618 108.420650 23779.1243 109.4922062831 3 1 1869 23779.1869 110.513409 23779.2494 111.477053 23779.3120 112.3823672831 3 1 1870 23779.3745 113.222740 23779.4371 113.997294 23779.4996 114.7001972831 3 1 1871 23779.5622 115.330562 23779.6247 115.883509 23779.6873 116.3582342831 3 1 1872 23779.7498 116.750972 23779.8124 117.061078 23779.8749 117.2860342831 3 1 1873 23779.9375 117.425421 23779.9437 117.434513 23779.9500 117.4428812831 3 1 1874 23779.9562 117.450256 23779.9625 117.456877 23779.9687 117.4625342831 3 1 1875 23779.9750 117.467407 23779.9812 117.471343 23779.9875 117.4744682831 3 1 1876 23779.9937 117.476682 23780.0000 117.478057 23780.0063 117.4785492831 3 1 1877 23780.0125 117.478173 23780.0188 117.476914 23780.0250 117.4748162831 3 1 1878 23780.0313 117.471807 23780.0375 117.467986 23780.0438 117.4632272831 3 1 1879 23780.0500 117.457683 23780.0563 117.451175 23780.0625 117.4439102831 3 1 1880 23780.1251 117.322810 23780.1876 117.115650 23780.2502 116.8226862831 3 1 1881 23780.3127 116.446169 23780.3753 115.986594 23780.4378 115.4474932831 3 1 1882 23780.5004 114.829549 23780.5629 114.137454 23780.6255 113.3719982831 3 1 1883 23780.6880 112.538884 23780.7506 111.638926 23780.8131 110.6786562831 3 1 1884 23780.8757 109.658820 23780.9382 108.586599 23781.0008 107.4625762831 3 1 1885 23781.0633 106.294394 23781.1259 105.082394 23781.1884 103.8345072831 3 1 1886 23781.2510 102.550764 23781.3135 101.239218 23781.3761 99.89954412831 3 1 1887 23781.4386 98.5397799 23781.5012 97.1592136 23781.5637 95.76574872831 3 1 1888 23781.6263 94.3582747 23781.7514 91.5228266 23781.8765 88.67629762831 3 1 1889 23782.0016 85.8393140 23782.1267 83.0296861 23782.2518 80.26248712831 3 1 1890 23782.3769 77.5502004 23782.5020 74.9029140 23782.6271 72.32854372831 3 1 1891 23782.7522 69.8330704 23782.8773 67.4207781 23783.0024 65.09448562831 3 1 1892 23783.1275 62.8557636 23783.2839 60.1808052 23783.4402 57.64422322831 3 1 1893 23783.5966 55.2403085 23783.7529 52.9684540 23783.9093 50.82118802831 3 1 1894 23784.0657 48.7948357 23784.2221 46.8838479 23784.3784 45.08359032831 3 1 1895 23784.5348 43.3859440 23784.6912 41.7863151 23784.8476 40.27903902831 3 1 1896 23785.0039 38.8595048 23785.1603 37.5206174 23785.3167 36.25826732831 3 1 1897 23785.4731 35.0676614 23785.6294 33.9449630 23785.7858 32.88446392831 3 1 1898 23785.9422 31.8828852 23786.0986 30.9364590 23786.2549 30.04221442831 3 1 1899 23786.4113 29.1957118 23786.5676 28.3949599 23786.7240 27.63606402831 3 1 1900 23786.8804 26.9168741 23787.1931 25.5882111 23787.5059 24.39016122831 3 1 1901 23787.8186 23.3079224 23788.1314 22.3272944 23788.4441 21.43718212831 3 1 1902 23788.7569 20.6268231 23789.0696 19.8878642 23789.3824 19.21209182831 3 1 1903 23789.6951 18.5931749 23790.0078 18.0249655 23790.3206 17.50210462831 3 1 1904 23790.6333 17.0203513 23790.9461 16.5753618 23791.2588 16.16385552831 3 1 1905 23791.5716 15.7824095 23791.8843 15.4284647 23792.1971 15.09929952831 3 1 1906 23792.5098 14.7929005 23792.8225 14.5071729 23793.1353 14.24025562831 3 1 1907 23793.4480 13.9907238 23793.7608 13.7569830 23794.0735 13.53789142831 3 1 1908 23794.3863 13.3321428 23794.6990 13.1388157 23795.0118 12.95683232831 3 1 1909 23795.3245 12.7854440 23795.6373 12.6237553 23795.9500 12.47115422831 3 1 1910 23796.2627 12.3269363 23796.8882 12.0612816 23797.5137 11.82266462831 3 1 1911 23798.1392 11.6075760 23798.7647 11.4130511 23799.3902 11.23657262831 3 1 1912 23800.0157 11.0759933 23800.6412 10.9294723 23801.2667 10.79542522831 3 1 1913 23801.8922 10.6724825 23802.5176 10.5594733 23803.1431 10.45532682831 3 1 1914 23803.7686 10.3591571 23804.3941 10.2701711 23805.0196 10.18767082831 3 1 1915 23805.6451 10.1110403 23806.2706 10.0397346 23806.8961 9.973270062831 3 1 1916 23807.5216 9.91121617 23808.1471 9.85318890 23808.7725 9.798853222831 3 1 1917 23809.3980 9.74788389 23810.0235 9.70001329 23810.6490 9.654992332831 3 1 1918 23811.2745 9.61259630 23812.5255 9.53488553 23813.7765 9.465472902831 3 1 1919 23815.0274 9.40319982 23816.2784 9.34708875 23817.5294 9.296334962831 3 1 1920 23818.7804 9.25025651 23820.0314 9.20827609 23820.6569 9.188666202831 3 1 1921 23821.5951 9.16082350 23822.5333 9.13471848 23823.7843 9.102357892831 3 1 1922 23825.3481 9.06541107 23826.9118 9.03188301 23828.4755 9.001337522831 3 1 1923 23830.0392 8.97340908 23831.6030 8.94778682 23833.1667 8.924211612831 3 1 1924 23834.7304 8.90245866 23836.2941 8.88233823 23837.8579 8.863688112831 3 1 1925 23839.4216 8.84637444 23840.9853 8.83028183 23842.5490 8.815315962831 3 1 1926 23844.1128 8.80140003 23845.6765 8.78847739 23847.2402 8.776506032831 3 1 1927 23848.8039 8.76546269 23850.3677 8.75534251 23851.9314 8.746163932831 3 1 1928 23852.7133 8.74193925 23853.4951 8.73796826 23854.2770 8.734259912831 3 1 1929 23855.0588 8.73082743 23856.0427 8.72692226 23857.0266 8.723513512831 3 1 1930 23857.8434 8.72109296 23858.4925 8.71945610 23859.1416 8.718092872831 3 1 1931 23859.7907 8.71702425 23860.4398 8.71627418 23861.0889 8.715870082831 3 1 1932 23861.7380 8.71584328 23862.3871 8.71622971 23863.0362 8.717070542831 3 1 1933 23863.6853 8.71841306 23864.3344 8.72031173 23864.9835 8.722829312831 3 1 1934 23865.6326 8.72603842 23866.2817 8.73002322 23866.9308 8.734881652831 3 1 1935 23867.5799 8.74072797 23868.2290 8.74769606 23868.8781 8.755943332831 3 1 1936 23869.5272 8.76565575 23870.1763 8.77705395 23870.8253 8.790398862831 3 1 1937 23871.3446 8.80268996 23871.7341 8.81297291 23872.1235 8.824266122831 3 1 1938 23872.3832 8.83241130 23872.9024 8.85032100 23873.4217 8.870662422831 3 1 1939 23873.9410 8.89379470 23874.4603 8.92014837 23874.9795 8.950231592831 3 1 1940 23875.2392 8.96686853 23875.4988 8.98467392 23875.7585 9.003759202831 3 1 1941 23876.0181 9.02421736 23876.2778 9.04618327 23876.5374 9.069771832831 3 1 1942 23876.7971 9.09514750 23877.0567 9.12245326 23877.3163 9.151879512831 3 1 1943 23877.5759 9.18362828 23877.8356 9.21793930 23878.0952 9.255039692831 3 1 1944 23878.3549 9.29524318 23878.6145 9.33884003 23878.8742 9.386227022831 3 1 1945 23879.1338 9.43777897 23879.3934 9.49398077 23879.6530 9.555365182831 3 1 1946 23879.9127 9.62256860 23880.1723 9.69623871 23880.4319 9.777205422831 3 1 1947 23880.6916 9.86643553 23880.9512 9.96494068 23881.2109 10.07405632831 3 1 1948 23881.4705 10.1951716 23881.7301 10.3300581 23881.9898 10.48082272831 3 1 1949 23882.2494 10.6497792 23882.3793 10.7420582 23882.5091 10.83996042831 3 1 1950 23882.6389 10.9440091 23882.7687 11.0547036 23882.8985 11.17259372831 3 1 1951 23883.0283 11.2982851 23883.1581 11.4324475 23883.2880 11.57593522831 3 1 1952 23883.4178 11.7293484 23883.5476 11.8937050 23883.6774 12.07001852831 3 1 1953 23883.8072 12.2594183 23883.9371 12.4633286 23884.0669 12.68284752831 3 1 1954 23884.1967 12.9197091 23884.3265 13.1756919 23884.4563 13.45279832831 3 1 1955 23884.5862 13.7535302 23884.7160 14.0799830 23884.8458 14.43527812831 3 1 1956 23884.9756 14.8227101 23885.1054 15.2460317 23885.2352 15.70952682831 3 1 1957 23885.3651 16.2185080 23885.4949 16.7778168 23885.6247 17.39428692831 3 1 1958 23885.7545 18.0753565 23885.8843 18.8296043 23886.0142 19.66761842831 3 1 1959 23886.1440 20.5995714 23886.2089 21.1050676 23886.2738 21.63932482831 3 1 1960 23886.3387 22.2043247 23886.4036 22.8021967 23886.4685 23.43522712831 3 1 1961 23886.5334 24.1058695 23886.5984 24.8178813 23886.6633 25.57189032831 3 1 1962 23886.7282 26.3719677 23886.7931 27.2213202 23886.8580 28.12335712831 3 1 1963 23886.9229 29.0816916 23886.9878 30.1001367 23887.0527 31.18269612831 3 1 1964 23887.1176 32.3335472 23887.1825 33.5570142 23887.2475 34.85959432831 3 1 1965 23887.3124 36.2417690 23887.3773 37.7099427 23887.4422 39.26845362831 3 1 1966 23887.5071 40.9213891 23887.5720 42.6724208 23887.6369 44.52460052831 3 1 1967 23887.7018 46.4801061 23887.7537 48.1189810 23887.8057 49.82777342831 3 1 1968 23887.8576 51.5989656 23887.9095 53.4339209 23887.9614 55.32970292831 3 1 1969 23888.0134 57.2859371 23888.0653 59.2894718 23888.1172 61.33678722831 3 1 1970 23888.1692 63.4229168 23888.2211 65.5288898 23888.2730 67.64572122831 3 1 1971 23888.3249 69.7583512 23888.3509 70.8098279 23888.3769 71.85363172831 3 1 1972 23888.4028 72.8833423 23888.4288 73.9043384 23888.4548 74.90993782831 3 1 1973 23888.4807 75.8936023 23888.5067 76.8600774 23888.5327 77.80260302831 3 1 1974 23888.5586 78.7147387 23888.5846 79.6005328 23888.6105 80.45018192831 3 1 1975 23888.6365 81.2672538 23888.6625 82.0454358 23888.6884 82.77907192831 3 1 1976 23888.7144 83.4710143 23888.7404 84.1156366 23888.7663 84.70817602831 3 1 1977 23888.7923 85.2508026 23888.8183 85.7389050 23888.8442 86.16891732831 3 1 1978 23888.8702 86.5423806 23888.8961 86.8548997 23888.9221 87.10762422831 3 1 1979 23888.9481 87.2982450 23888.9740 87.4256973 23888.9766 87.43503222831 3 1 1980 23888.9792 87.4437348 23888.9818 87.4518047 23888.9844 87.45924202831 3 1 1981 23888.9870 87.4660463 23888.9896 87.4722176 23888.9922 87.47775582831 3 1 1982 23888.9948 87.4826610 23888.9974 87.4869330 23889.0000 87.49057182831 3 1 1983 23889.0026 87.4935776 23889.0052 87.4959505 23889.0078 87.49769042831 3 1 1984 23889.0104 87.4987976 23889.0130 87.4992721 23889.0156 87.49911422831 3 1 1985 23889.0182 87.4983243 23889.0208 87.4969024 23889.0234 87.49484892831 3 1 1986 23889.0260 87.4921641 23889.0519 87.4310432 23889.0779 87.30724822831 3 1 1987 23889.1039 87.1216997 23889.1298 86.8765480 23889.1558 86.57125402831 3 1 1988 23889.1817 86.2097639 23889.2077 85.7911255 23889.2337 85.31868362831 3 1 1989 23889.2596 84.7967987 23889.2856 84.2238497 23889.3116 83.60431282831 3 1 1990 23889.3375 82.9434965 23889.3635 82.2390574 23889.3895 81.49630002831 3 1 1991 23889.4154 80.7211615 23889.4414 79.9105474 23889.4673 79.07356922831 3 1 1992 23889.4933 78.2066339 23889.5193 77.3157583 23889.5452 76.40727262831 3 1 1993 23889.5712 75.4768676 23889.5972 74.5306441 23889.6231 73.57485322831 3 1 1994 23889.6491 72.6045417 23889.6751 71.6257013 23889.7270 69.65496092831 3 1 1995 23889.7789 67.6750463 23889.8308 65.7001247 23889.8828 63.73866632831 3 1 1996 23889.9347 61.8085688 23889.9866 59.9146078 23890.0386 58.06020302831 3 1 1997 23890.0905 56.2579633 23890.1424 54.5084384 23890.1943 52.81464212831 3 1 1998 23890.2463 51.1755039 23890.2982 49.5985125 23890.3631 47.71010972831 3 1 1999 23890.4280 45.9142328 23890.4929 44.2094344 23890.5578 42.59342862831 3 1 2000 23890.6227 41.0633181 23890.6876 39.6157802 23890.7526 38.24516722831 3 1 2001 23890.8175 36.9519374 23890.8824 35.7301039 23890.9473 34.57585632831 3 1 2002 23891.0122 33.4854450 23891.0771 32.4552205 23891.1420 31.48166172831 3 1 2003 23891.2069 30.5613937 23891.2718 29.6912005 23891.3367 28.86803032831 3 1 2004 23891.4017 28.0878304 23891.4666 27.3502786 23891.5315 26.65158402831 3 1 2005 23891.5964 25.9893463 23891.6613 25.3613164 23891.7262 24.76538892831 3 1 2006 23891.7911 24.1995950 23891.8560 23.6620951 23891.9858 22.66521882831 3 1 2007 23892.1157 21.7616790 23892.2455 20.9420426 23892.3753 20.19615622831 3 1 2008 23892.5051 19.5158050 23892.6349 18.8938185 23892.7648 18.32350912831 3 1 2009 23892.8946 17.8002631 23893.0244 17.3188079 23893.1542 16.87491132831 3 1 2010 23893.2840 16.4648445 23893.4138 16.0853160 23893.5437 15.73315182831 3 1 2011 23893.6735 15.4063104 23893.8033 15.1022153 23893.9331 14.81882312831 3 1 2012 23894.0629 14.5543101 23894.1928 14.3068608 23894.3226 14.07539402831 3 1 2013 23894.4524 13.8584004 23894.5822 13.6546993 23894.7120 13.46322662831 3 1 2014 23894.8419 13.2828865 23894.9717 13.1130866 23895.1015 12.95289622831 3 1 2015 23895.2313 12.8015996 23895.3611 12.6585465 23895.4910 12.52304282831 3 1 2016 23895.6208 12.3947562 23895.7506 12.2730856 23896.0102 12.04782282831 3 1 2017 23896.2699 11.8439957 23896.5295 11.6590724 23896.7891 11.49068892831 3 1 2018 23897.0488 11.3368424 23897.3084 11.1959827 23897.5681 11.06656432831 3 1 2019 23897.8277 10.9474448 23898.0874 10.8374535 23898.3470 10.73573592831 3 1 2020 23898.6066 10.6414263 23898.8662 10.5538036 23899.1259 10.47220282831 3 1 2021 23899.3855 10.3961256 23899.6452 10.3250160 23899.9048 10.25848722831 3 1 2022 23900.1645 10.1960940 23900.4241 10.1375329 23900.6837 10.08246442831 3 1 2023 23900.9433 10.0306058 23901.2030 9.98168442 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