26-Fe- 54 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 2.60540E+4 5.34760E+1 2 0 0 52625 1451 1 0.0 0.0 0 0 0 62625 1451 2 1.00000E+0 1.50000E+8 8 5 10 62625 1451 3 9.00000E+2 0.0 1 0 413 732625 1451 4 26-Fe- 54 LANL,ORNL EVAL-SEP96 M.B.CHADWICK,P.G.YOUNG,D.HETRICK 2625 1451 5 Ch99,He91,Fu91 DIST-SEP 1 REV4- 20010926 2625 1451 6 ----ENDF/B-VI MATERIAL 2625 REVISION 4 2625 1451 7 -----INCIDENT NEUTRON DATA 2625 1451 8 ------ENDF-6 FORMAT 2625 1451 9 2625 1451 10 **************************************************************** 2625 1451 11 2625 1451 12 ENDF/B-VI MOD 5 Revision, May 2000, S.C. Frankle, R.C. Reedy, 2625 1451 13 P.G. Young (LANL) 2625 1451 14 2625 1451 15 The secondary gamma-ray spectrum for radiative capture (MF 12, 2625 1451 16 MT 102) has been updated for new experimental data at incident 2625 1451 17 neutron energies up to 1 keV. 2625 1451 18 The MF=12, MT=102 yields above 1 keV were adjusted slightly to 2625 1451 19 force energy conservation. 2625 1451 20 The Q-value for radiative capture was also updated in File 3. 2625 1451 21 Details of these changes are described in Frankel et al. [Fr01]. 2625 1451 22 2625 1451 23 ******************************************************************2625 1451 24 2625 1451 25 ENDF/B-VI MOD 4 Evaluation, September 1997, M.B. Chadwick, 2625 1451 26 P.G. Young (LANL) and A.J. Koning (ECN) 2625 1451 27 2625 1451 28 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 2625 1451 29 in cooperation with ECN Petten. 2625 1451 30 2625 1451 31 This evaluation provides a complete representation of the 2625 1451 32 nuclear data needed for transport, damage, heating, 2625 1451 33 radioactivity, and shielding applications over the incident 2625 1451 34 neutron energy range from 1.0E-11 to 150 MeV. The discussion 2625 1451 35 here is divided into the region below and above 20 MeV. 2625 1451 36 2625 1451 37 INCIDENT NEUTRON ENERGIES < 20 MeV 2625 1451 38 2625 1451 39 Below 20 MeV the evaluation is based completely on the ENDF/B- 2625 1451 40 VI.1 (Release 1) evaluation by [He91] (see also [Fu86]). The 2625 1451 41 following modifications were made to the ENDF/B-VI.1 evaluation: 2625 1451 42 2625 1451 43 1. The covariance files (MF=33) were removed from the file. 2625 1451 44 2625 1451 45 2. The derived MF=3 files for MT=203,205,207 were removed. 2625 1451 46 2625 1451 47 2625 1451 48 INCIDENT NEUTRON ENERGIES > 20 MeV 2625 1451 49 2625 1451 50 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 2625 1451 51 all reaction data. Production cross sections and emission 2625 1451 52 spectra are given for neutrons, protons, deuterons, tritons, 2625 1451 53 alpha particles, gamma rays, and all residual nuclides produced 2625 1451 54 (A>5) in the reaction chains. To summarize, the ENDF sections 2625 1451 55 with non-zero data above En = 20 MeV are: 2625 1451 56 2625 1451 57 MF=3 MT= 1 Total Cross Section 2625 1451 58 MT= 2 Elastic Scattering Cross Section 2625 1451 59 MT= 3 Nonelastic Cross Section 2625 1451 60 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 2625 1451 61 2625 1451 62 MF=4 MT= 2 Elastic Angular Distributions 2625 1451 63 2625 1451 64 MF=6 MT= 5 Production Cross Sections and Energy-Angle 2625 1451 65 Distributions for Emission Neutrons, Protons, 2625 1451 66 Deuterons, and Alphas; and Angle-Integrated 2625 1451 67 Spectra for Gamma Rays and Residual Nuclei That 2625 1451 68 Are Stable Against Particle Emission 2625 1451 69 2625 1451 70 The evaluation is based on nuclear model calculations that 2625 1451 71 have been benchmarked to experimental data, especially for n + 2625 1451 72 Fe56 and p + Fe56 reactions [Ch96a]. We use the GNASH code 2625 1451 73 system [Yo92], which utilizes Hauser-Feshbach statistical, 2625 1451 74 preequilibrium and direct-reaction theories. Spherical optical 2625 1451 75 model calculations are used to obtain particle transmission 2625 1451 76 coefficients for the Hauser-Feshbach calculations, as well as 2625 1451 77 for the elastic neutron angular distributions. 2625 1451 78 Cross sections and spectra for producing individual residual 2625 1451 79 nuclei are included for reactions that exceed a cross section of 2625 1451 80 approximately 1 nb at any energy. The energy-angle-correlations 2625 1451 81 for all outgoing particles are based on Kalbach systematics 2625 1451 82 [Ka88]. 2625 1451 83 A model was developed to calculate the energy distributions of 2625 1451 84 all recoil nuclei in the GNASH calculations [Ch96b]. The recoil 2625 1451 85 energy distributions are represented in the laboratory system in 2625 1451 86 MT=5, MF=6, and are given as isotropic in the lab system. Note 2625 1451 87 that all other data in MT=5,MF=6 are given in the center-of-mass 2625 1451 88 system. This method of representation requires a modification of 2625 1451 89 the original ENDF-6 format. 2625 1451 90 Preequilibrium corrections were performed in the course of the 2625 1451 91 GNASH calculations using the exciton model of Kalbach [Ka77, 2625 1451 92 Ka85], validated by comparison with calculations using Feshbach, 2625 1451 93 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 2625 1451 94 nuclear data sheets were matched to continuum level densities 2625 1451 95 using the formulation of Ignatyuk [Ig75] and pairing and shell 2625 1451 96 parameters from the Cook [Co67] analysis. Neutron and charged- 2625 1451 97 particle transmission coefficients were obtained from the 2625 1451 98 optical potentials, as discussed below. Gamma-ray transmission 2625 1451 99 coefficients were calculated using the Kopecky-Uhl model [Ko90]. 2625 1451 100 The neutron optical model potential of Arthur et al. [Ar80] 2625 1451 101 was used to calculate transmission coefficients and cross 2625 1451 102 sections with the SCAT2 code [Be92] up to a neutron energy of 26 2625 1451 103 MeV. Between 26 and 52 MeV, the imaginary volume component of 2625 1451 104 Arthur's potential was modified to better account for nonelastic 2625 1451 105 cross section measurements, and above 52 MeV the Semmering 2625 1451 106 potential of Madland [Ma88] was used. For protons, the 2625 1451 107 Beccetti-Greenlees potential [Be69] was utilized below 28 MeV, 2625 1451 108 and the Madland potential [Ma88] was used at higher energies. 2625 1451 109 The global spherical potential of Perey [Pe63] was utilized for 2625 1451 110 deuterons, and the potential of Beccetti-Greenlees [Be71] 2625 1451 111 was adopted for tritons. Finally, the alpha potential of Lemos 2625 1451 112 [Le72], as adapted by Arthur et al. [Ar80], was used for alpha 2625 1451 113 particles. 2625 1451 114 Direct reaction cross sections to discrete states were 2625 1451 115 calculated with the ECIS95 code [Re95] using deformation 2625 1451 116 parameters compiled in Nuclear Data Sheets. 2625 1451 117 We used the same values for the total, elastic, and nonelastic 2625 1451 118 cross sections (MF=3, MT=1,2,3) above 20 MeV as were used in the 2625 1451 119 n + 56Fe evaluation. 2625 1451 120 2625 1451 121 ***************************************************************** 2625 1451 122 2625 1451 123 REFERENCES 2625 1451 124 2625 1451 125 [Ar80] E.D. Arthur and P.G. Young, 'Evaluation of Neutron 2625 1451 126 Cross Sections to 40 MeV for 54,56Fe," Proc. Sym. on Neutron 2625 1451 127 Cross Sections from 10 to 50 MeV, 12-14 May 1980, Brookhaven 2625 1451 128 National Laboratory [Eds. M. R. Bhat and S. Pearlstein, BNL- 2625 1451 129 NCS-51245, 1980] p. 731. 2625 1451 130 [Be69] F.D. Becchetti, Jr., and G.W. Greenlees, Phys.Rev. 182 2625 1451 131 1190 (1969) 2625 1451 132 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees, "Polarization 2625 1451 133 Phenomena in Nuclear Reactions," (Ed: H.H. Barschall and 2625 1451 134 W. Haeberli, The University of Wisconsin Press, 1971) p.682 2625 1451 135 [Be92] O. Bersillon, "SCAT2 - A Spherical Optical Model Code," 2625 1451 136 in Proc. ICTP Workshop on Computation and Analysis of Nuclear 2625 1451 137 Data Relevant to Nuclear Energy and Safety, 10 February-13 2625 1451 138 March, 1992, Trieste, Italy, to be published in World Scientific2625 1451 139 Press, and Progress Report of the Nuclear Physics Division, 2625 1451 140 Bruyeres-le-Chatel 1977, CEA-N-2037, p.111 (1978). 2625 1451 141 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 2625 1451 142 [Ch96a] M.B. Chadwick and P.G. Young, "GNASH Calculations of 2625 1451 143 n,p + 54,56,57,58Fe and Benchmarking of Results" in APT 2625 1451 144 progress report: 1 August - 1 September 1996, internal Los 2625 1451 145 Alamos National Laboratory memo T-2-96/MS-52, 6 Aug. 1996 from 2625 1451 146 R.E. MacFarlane to L. Waters. 2625 1451 147 [Ch96b] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 2625 1451 148 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 2625 1451 149 Driven Technologies: Calculational Method for Heavy Recoils," 2625 1451 150 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 2625 1451 151 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 2625 1451 152 [Ch99] M.B. Chadwick, P G. Young, G. M. Hale, et al., Los Alamos 2625 1451 153 National Laboratory report, LA-UR-99-1222 (1999) 2625 1451 154 [Co67] J.L. Cook, H. Ferguson, and A.R. deL Musgrove, Aust.J. 2625 1451 155 Phys. 20, 477 (1967) 2625 1451 156 [Fr01] S.C. Frankle, R.C. Reedy, and P.G. Young, Los ALamos 2625 1451 157 National Laboratory Report, LA-13812 (2001). 2625 1451 158 [Fu86] C.Y. Fu and D.M. Hetrick, report ORNL/TM-9964 [ENDF-341] 2625 1451 159 (1986) 2625 1451 160 [He91] D.M. Hetrick, C.Y. Fu, and N.M. Larson, ENDF/B-VI.1 2625 1451 161 Evaluation of n + 54Fe, personal comm. (1991) 2625 1451 162 [Ig75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov.J. 2625 1451 163 Nucl.Phys. 21, 255 (1975); translation of Yad.Fiz. 21, 485 2625 1451 164 (1975) 2625 1451 165 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 2625 1451 166 [Ka85] C. Kalbach, Los Alamos report LA-10248-MS (1985) 2625 1451 167 [Ka88] C. Kalbach, Phys.Rev. C 37, 2350 (1988); see also 2625 1451 168 C. Kalbach and F.M. Mann, Phys.Rev. C 23, 112 (1981) 2625 1451 169 [Ko90] J. Kopecky and M. Uhl, Phys.Rev. C 41, 1941 (1990) 2625 1451 170 [Le72] O.F. Lemos, "Diffusion Elastique de Particules Alpha 2625 1451 171 de 21 a 29.6 MeV sur des Noyaux de la Region Ti-Zn," Orsay 2625 1451 172 report, Series A, No. 136 (1976). 2625 1451 173 [Ma88] D.G. Madland, Proc. OECD/NEANDC Specialist's Meeting on 2625 1451 174 Preequilibrium Nuclear Reactions, Semmering, Austria, Feb. 2625 1451 175 1988, NEANDC-245 (1988) p.103 2625 1451 176 [Pe63] C.M. Perey and F.G. Perey, Phys.Rev. 132, 755 (1963) 2625 1451 177 [Re95] J. Raynal, "Notes on ECIS94," CEA informal 2625 1451 178 report,Saclay (1995). 2625 1451 179 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, Los Alamos 2625 1451 180 National Laboratory report LA-12343-MS (1992) 2625 1451 181 2625 1451 182 **************************************************************** 2625 1451 183 2625 1451 184 ENDF/B-VI MOD 3 Revision, October 1997, V. McLane (NNDC). 2625 1451 185 2625 1451 186 1. Corrected residual nucleus in File 6, MT=16,103. 2625 1451 187 2. Updated File 1 comments and corrected references. 2625 1451 188 2625 1451 189 **************************************************************** 2625 1451 190 2625 1451 191 ENDF/B-VI MOD 2 Revision, July 1991, (ORNL) 2625 1451 192 2625 1451 193 The elastic transformation matrix was removed. 2625 1451 194 2625 1451 195 **************************************************************** 2625 1451 196 2625 1451 197 ENDF/B-VI MOD 1 Evaluation, November 1989, D.M. Hetrick, C.Y. Fu,2625 1451 198 and N.M. Larson (ORNL) 2625 1451 199 2625 1451 200 This work employed nuclear model codes including the 2625 1451 201 Distorted Wave Born Approximation (DWBA) program DWUCK [1] 2625 1451 202 and the Hauser-Feshbach code TNG [2,3,4]. The TNG code provides 2625 1451 203 energy and angular distributions of particles emitted in the 2625 1451 204 compound and pre-compound reactions, ensures consistency among 2625 1451 205 all reactions, and maintains energy balance. details pertinent 2625 1451 206 to the contents of this evaluation will be published at a later 2625 1451 207 date. 2625 1451 208 Resonance parameters and thermal cross sections are from 2625 1451 209 Mughabghab [5] and adjusted through SAMMY by N. Larson using J.A.2625 1451 210 Harvey data [11] between 110 and 700 keV, capture cross section 2625 1451 211 background in File 3 was based on Allen [6]. Above 700 keV, 2625 1451 212 54Fe data from J.A. Harvey [11] used. 2625 1451 213 2625 1451 214 DESCRIPTION OF FILES 2625 1451 215 2625 1451 216 File 1 GENERAL INFORMATION ------------------------------------ 2625 1451 217 MT=451 General information, references, and definitions. 2625 1451 218 2625 1451 219 File 2 RESONANCE PARAMETERS ----------------------------------- 2625 1451 220 MT=151 See above. 2625 1451 221 Note that the flag has been set to allow user calculation 2625 1451 222 of the angular distributions from the R-M resonance 2625 1451 223 parameters, if the user wants angular distributions on 2625 1451 224 a finer energy grid than given in 4/2. 2625 1451 225 2625 1451 226 File 3 NEUTRON CROSS SECTIONS --------------------------------- 2625 1451 227 MT=1 Total cross section; see above. 2625 1451 228 MT=2 Elastic scattering cross sections were obtained by 2625 1451 229 subtracting the nonelastic from the total. 2625 1451 230 MT=3 Nonelastic cross section; sum of MT=4,16,22,28,102,103, 2625 1451 231 104,107. 2625 1451 232 MT=4 Total inelastic cross section; sum of MT=51-57, and 91. 2625 1451 233 MT=16 (n,2n) cross sections were calculated by the TNG code 2625 1451 234 [2,3,4]. 2625 1451 235 MT=22 (n,na) cross sections were calculated by the TNG code. 2625 1451 236 MT=28 (n,np) cross sections were calculated by the TNG code. 2625 1451 237 MT=51 to 3-57 Inelastic scattering exciting levels. 2625 1451 238 For En>6 MeV, results are from TNG which includes direct 2625 1451 239 interaction cross sections from DWUCK [1] calculations. 2625 1451 240 For En<6 MeV, TNG calculations were adjusted to fit the 2625 1451 241 data of Guenther et al. [7]. 2625 1451 242 MT=91 Inelastic scattering exciting the continuum are TNG 2625 1451 243 calculated, but adjusted as for MT=51-57 for En<6 MeV. 2625 1451 244 MT=102 (n,g) capture cross section; see above. 2625 1451 245 TNG calculations normalized to the data were added for 2625 1451 246 energies from 1.0 to 1.5 MeV. 2625 1451 247 MT=103 (n,p) cross sections 2625 1451 248 Taken from the GLUCS [8] calculation in which this reaction 2625 1451 249 was studied simultaneously with 12 other dosimetry 2625 1451 250 reaction cross sections [9]. 2625 1451 251 MT=104 (n,d) cross sections 2625 1451 252 Taken from (n,p) shape which was normalized to data of 2625 1451 253 grimes et al. [10] at 14.8 MeV. 2625 1451 254 MT=107 (n,a) cross sections 2625 1451 255 Were taken from ENDF/B-V for En < 9 MeV. Above 9 MeV, 2625 1451 256 ENDF/B-V cross sections were adjusted to be smaller to 2625 1451 257 better fit measured data. 2625 1451 258 2625 1451 259 File 4 ANGULAR DISTRIBUTIONS ---------------------------------- 2625 1451 260 MT=2 Elastic Scattering 2625 1451 261 Taken from ENDF/B-V. 2625 1451 262 If desired, angular distributions can be calculated by 2625 1451 263 the user on a finer energy grid from the R-M resonance 2625 1451 264 parameters in 2/151. 2625 1451 265 2625 1451 266 File 6 PRODUCT ENERGY-ANGLE DISTRIBUTIONS --------------------- 2625 1451 267 MT=16 (n,2n) reaction 2625 1451 268 Includes simple constant yields for the neutron and 53Fe 2625 1451 269 residual, and energy dependent yield based on TNG 2625 1451 270 calculated gamma-ray spectra for the gamma ray; TNG 2625 1451 271 calculated normalized distributions are given for each 2625 1451 272 product (angular distributions are given only for the 2625 1451 273 outgoing neutron). 2625 1451 274 MT=22 (n,na) reaction 2625 1451 275 Includes simple constant yields for the neutron, alpha, and 2625 1451 276 50Cr residual, and energy dependent yield based on TNG 2625 1451 277 calculated gamma-ray spectra for the gamma ray; 2625 1451 278 calculated normalized distributions are given for each 2625 1451 279 product (angular distributions are given only for the 2625 1451 280 outgoing neutron; isotropy is assumed for the alpha and 2625 1451 281 residual). (n,xa) d-d emission data heavily used to 2625 1451 282 benchmark the calculations. 2625 1451 283 MT=28 (n,np) reaction 2625 1451 284 Includes simple constant yields for the neutron, p, and 2625 1451 285 53Mn residual, and energy dependent yield based on TNG 2625 1451 286 calculated gamma-ray spectra for the gamma ray; 2625 1451 287 calculated normalized distributions are given for each 2625 1451 288 product (angular distributions are given only for the 2625 1451 289 outgoing neutron; isotropy is assumed for the proton and 2625 1451 290 residual). (n,xp) d-d emission used to benchmark the TNG 2625 1451 291 calculations. 2625 1451 292 MT=51 through 6-57 Inelastic scattering exciting levels 2625 1451 293 Each section includes simple constant yields for the 2625 1451 294 neutron and 54Fe residual; angular distributions are 2625 1451 295 given for the outgoing neutron (Legendre coefficients 2625 1451 296 computed by DWUCK [1] and TNG [2,3,4]). 2625 1451 297 MT=91 Inelastic scattering exciting the continuum 2625 1451 298 Includes simple constant yields for the neutron and 54Fe 2625 1451 299 residual and energy dependent yield based on TNG 2625 1451 300 calculated gamma-ray spectra for the gamma ray; TNG 2625 1451 301 calculated normalized distributions are given 2625 1451 302 for each (angular distributions are given only for the 2625 1451 303 outgoing neutron). 2625 1451 304 MT=103 (n,p) reaction 2625 1451 305 Includes simple constant yields for p and 54Mn residual, 2625 1451 306 and energy dependent yield based on calculated gamma-ray 2625 1451 307 spectra for gamma ray; calculated normalized 2625 1451 308 distributions are given for each product. (n,xp) d-d 2625 1451 309 emission data used to benchmark the TNG calculations. 2625 1451 310 MT=107 (n,a) reaction 2625 1451 311 Includes simple constant yields for alpha and 51Cr residual,2625 1451 312 and energy dependent yield based on calculated gamma-ray 2625 1451 313 spectra for gamma ray; calculated normalized 2625 1451 314 distributions are given for each product. (n,xa) d-d 2625 1451 315 emission data used to benchmark the calculations. 2625 1451 316 2625 1451 317 File 12 PHOTON PRODUCTION MULTIPLICITIES ---------------------- 2625 1451 318 MT=51 through 12-57 branching ratios for the levels are given. 2625 1451 319 MT=102 (n,g) capture; 2625 1451 320 Below 1 MeV from ENDF/B-V for natural FE, but adjusted for 2625 1451 321 energy balance. 2625 1451 322 Above 1 MeV from TNG calculations. 2625 1451 323 2625 1451 324 File 14 PHOTON ANGULAR DISTRIBUTIONS -------------------------- 2625 1451 325 MT=51 through 14-57 and 14-102 Gamma ray angular distributions 2625 1451 326 Assumed to be isotropic. 2625 1451 327 2625 1451 328 File 15 CONTINUOUS PHOTON ENERGY SPECTRA ---------------------- 2625 1451 329 MT=102 (n,g) capture; as in 12-102 2625 1451 330 2625 1451 331 File 33 UNCERTAINTY FILES ------------------------------------- 2625 1451 332 An LB=8 section is included for all non-derived files as 2625 1451 333 required by ENDF/B-VI. 2625 1451 334 MT=1 Uncertainties are derived from 1.E-5 to 100 eV. from 2625 1451 335 100 eV to 20 MeV they are explicit, using LB=0,1 AND 8. 2625 1451 336 MT=2 From 1.E-5 to 100 eV, uncertainties are explicit, based 2625 1451 337 upon thermal uncertainty and other data. From 100 eV to 2625 1451 338 20 MeV the files are derived. 2625 1451 339 MT=3 From 1.E-5 to 700 keV uncertainties are derived. From 2625 1451 340 700 kev to 20 MeV uncertainties are explicit, using LB=1 2625 1451 341 and 8. 2625 1451 342 MT=4 Uncertainties are all derived. 2625 1451 343 MT=16 Uncertainties are explicit, estimated from TNG. 2625 1451 344 MT=22 Uncertainties are explicit, estimated from TNG. 2625 1451 345 MT=28 Uncertainties are explicit, estimated from TNG. 2625 1451 346 MT=51-91 Uncertainties are explicit, based on data and 2625 1451 347 calculation uncertainties. 2625 1451 348 MT=102 Uncertainties are explicit, based on thermal data at 2625 1451 349 low energies, and calculated results above 700 keV. 2625 1451 350 MT=103 (n,p) covariances were taken from the GLUCS [8] 2625 1451 351 calculation in which this reaction was studied 2625 1451 352 simultaneously with 12 other dosimetry reaction cross 2625 1451 353 sections [9]. 2625 1451 354 MT=104 Uncertainties estimated from data. 2625 1451 355 MT=107 Uncertainties estimated from data. 2625 1451 356 2625 1451 357 ---------------------------------------------------------------- 2625 1451 358 REFERENCES: 2625 1451 359 2625 1451 360 [1] P.D. Kunz, "Distorted Wave Code DWUCK72," Univ. of Colorado, 2625 1451 361 unpublished (1972). 2625 1451 362 [2] C.Y. Fu, "A Consistent Nuclear Model For Compound and Pre- 2625 1451 363 compound Reactions with Conservation of Angular Momentum," 2625 1451 364 report ORNL/TM-7042 (1980), and Nucl.Sci.Eng. 100, 61 (1988).2625 1451 365 [3] C.Y Fu, "Development and Application of Multi-step 2625 1451 366 Hauser-Feshbach/Pre-equilibrium Model Theory," Symp. 2625 1451 367 Neutron Cross Sections from 10 to 50 MeV, Upton, N.Y., 2625 1451 368 May 12-14,1980, report BNL-NCS-51425, p.675. 2625 1451 369 [4] K. Shibata and C.Y. Fu, "Recent Improvements of the TNG 2625 1451 370 Statistical Model Code", report ORNL/TM-10093 (1986). 2625 1451 371 [5] S.F. Mughabghab, Neutron Cross Sections, Vol. 1: Resonance 2625 1451 372 Parameters and Thermal Cross Sections, Part A (Academic 2625 1451 373 Press, 1981). 2625 1451 374 [6] B.J. Allen, Geel Conference, 1977. 2625 1451 375 [7] P.T. Guenther, D.L. Smith, A.B. Smith et al., Ann.Nucl. En. 2625 1451 376 13 (11), 601-610 (1986). 2625 1451 377 [8] D.M. Hetrick and C.Y. Fu, "GLUCS: A Generalized Least Squares2625 1451 378 Program for Updating Cross Section Evaluations with 2625 1451 379 Correlated Data Sets," report ORNL/TM-7341 [ENDF-303] (1980).2625 1451 380 [9] C.Y. Fu and D.M. Hetrick, "Experience in Using the 2625 1451 381 Covariances of Some ENDF/B-V Dosimetry Cross Sections: 2625 1451 382 Proposed Improvements and Additions of Cross-reaction 2625 1451 383 Covariances," Proc. Fourth ASTM-Euratom Symp. on Reactor 2625 1451 384 Dosimetry, Gaithersburg, Maryland, March 22-26,1982, 2625 1451 385 (US National Bureau Of Standards, 1982) p.877. 2625 1451 386 ([0] S.M. Grimes, R.C. Haight, K.R. Alvar et al., Phys.Rev., C19, 2625 1451 387 2127 (1979). 2625 1451 388 [11] J.A. Harvey, private communication, 1989. 2625 1451 389 2625 1451 390 ************************ C O N T E N T S *********************** 2625 1451 391 ***************** Program LINEAR (VERSION 2004-1) ***************2625 1451 392 For All Data Greater than 1.0000E-10 barns in Absolute Value 2625 1451 393 Data Linearized to Within an Accuracy of .100000000 per-cent 2625 1451 394 ***************** Program RECENT (VERSION 2004-1) ***************2625 1451 395 for All Data Greater than 1.0000E-10 barns in Absolute Value 2625 1451 396 Data Linearized to within an Accuracy of .100000000 per-cent 2625 1451 397 ***************** Program SIGMA1 (VERSION 2004-1) ***************2625 1451 398 Data Doppler Broadened to 900.000000 Kelvin 2625 1451 399 for All Data Greater than 1.0000E-10 barns in Absolute Value 2625 1451 400 Data Linearized to Within an Accuracy pf .100000000 per-cent 2625 1451 401 ***************** Program FIXUP (Version 2004-1) ****************2625 1451 402 Corrected ZA/AWR in All Sections-----------------------------Yes 2625 1451 403 Corrected Thresholds-----------------------------------------No 2625 1451 404 Extended Cross Sections to 20 MeV----------------------------No 2625 1451 405 Allow Cross Section Deletion---------------------------------No 2625 1451 406 Allow Cross Section Reconstruction---------------------------Yes 2625 1451 407 Make All Cross Sections Non-Negative-------------------------Yes 2625 1451 408 Delete Energies Not in Ascending Order-----------------------Yes 2625 1451 409 Deleted Duplicate Points-------------------------------------Yes 2625 1451 410 Check for Ascending MAT/MF/MT Order--------------------------Yes 2625 1451 411 Check for Legal MF/MT Numbers--------------------------------Yes 2625 1451 412 Allow Creation of Missing Sections---------------------------No 2625 1451 413 Allow Insertion of Energy Points-----------------------------No 2625 1451 414 Create Uniform Energy Grid-----------------------------------No 2625 1451 415 Delete Section if Cross Section =0 at All Energies-----------Yes 2625 1451 416 **************** Program DICTIN (VERSION 2004-1) ****************2625 1451 417 1 451 490 52625 1451 418 2 151 387 12625 1451 419 3 1 14386 42625 1451 420 3 2 7867 42625 1451 421 3 3 6871 42625 1451 422 3 4 16 12625 1451 423 3 5 10 42625 1451 424 3 16 6 12625 1451 425 3 22 6 12625 1451 426 3 28 7 12625 1451 427 3 51 13 12625 1451 428 3 52 12 12625 1451 429 3 53 12 12625 1451 430 3 54 11 12625 1451 431 3 55 11 12625 1451 432 3 56 11 12625 1451 433 3 57 11 12625 1451 434 3 91 11 12625 1451 435 3 102 6850 52625 1451 436 3 103 17 12625 1451 437 3 104 7 12625 1451 438 3 107 12 12625 1451 439 4 2 1459 42625 1451 440 6 5 13480 42625 1451 441 6 16 239 32625 1451 442 6 22 309 12625 1451 443 6 28 473 12625 1451 444 6 51 35 12625 1451 445 6 52 32 12625 1451 446 6 53 7 12625 1451 447 6 54 32 12625 1451 448 6 55 32 12625 1451 449 6 56 32 12625 1451 450 6 57 32 12625 1451 451 6 91 1305 12625 1451 452 6 103 1238 32625 1451 453 6 107 902 12625 1451 454 12 51 3 12625 1451 455 12 52 3 12625 1451 456 12 53 3 12625 1451 457 12 54 3 12625 1451 458 12 55 3 12625 1451 459 12 56 3 12625 1451 460 12 57 3 12625 1451 461 12 102 191 52625 1451 462 14 51 1 12625 1451 463 14 52 1 12625 1451 464 14 53 1 12625 1451 465 14 54 1 12625 1451 466 14 55 1 12625 1451 467 14 56 1 12625 1451 468 14 57 1 12625 1451 469 14 102 1 52625 1451 470 15 102 640 12625 1451 471 33 1 20 12625 1451 472 33 2 14 12625 1451 473 33 3 16 12625 1451 474 33 4 9 12625 1451 475 33 16 14 12625 1451 476 33 22 12 12625 1451 477 33 28 12 12625 1451 478 33 51 14 12625 1451 479 33 52 14 12625 1451 480 33 53 14 12625 1451 481 33 54 14 12625 1451 482 33 55 14 12625 1451 483 33 56 14 12625 1451 484 33 57 14 12625 1451 485 33 91 14 12625 1451 486 33 102 19 12625 1451 487 33 103 77 12625 1451 488 33 104 12 12625 1451 489 33 107 14 12625 1451 490 2625 1 0 491 2625 0 0 492 2.60540E+4 5.34760E+1 0 0 1 02625 2151 493 2.60540E+4 1.00000E+0 0 0 1 02625 2151 494 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1825 51588.8824 10.5637461 51591.8150 10.5297883 51592.5969 10.52078702625 3 1 1826 51594.7476 10.5140661 51597.6802 10.5050654 51601.2482 10.49430572625 3 1 1827 51601.5904 10.4952906 51605.5005 10.5067403 51609.4107 10.51834912625 3 1 1828 51613.1253 10.5295051 51613.6141 10.5331770 51618.1108 10.56709172625 3 1 1829 51624.8558 10.6181728 51628.9614 10.6493842 51631.6008 10.67848262625 3 1 1830 51638.3458 10.7529940 51647.3391 10.8525213 51652.8134 10.91319952625 3 1 1831 51656.3325 10.9605092 51665.3258 11.0815295 51678.8159 11.26322192625 3 1 1832 51679.4024 11.2711274 51692.6969 11.4743193 51711.4657 11.76134842625 3 1 1833 51719.2860 11.8809893 51720.8500 11.9073804 51745.8750 12.32977312625 3 1 1834 51761.5157 12.5938473 51770.9000 12.7656849 51808.4375 13.45320272625 3 1 1835 51865.9950 14.6061999 51871.0000 14.7064749 51911.0400 15.58344912625 3 1 1836 51931.0600 16.0219848 51971.1000 16.9759680 51991.1200 17.45300332625 3 1 1837 52031.1600 18.4886760 52051.1800 19.0065597 52111.2400 20.68266802625 3 1 1838 52121.2500 20.9832749 52171.3000 22.4864294 52211.3400 23.77076082625 3 1 1839 52231.3600 24.4129665 52291.4200 26.4604679 52321.4500 27.54741342625 3 1 1840 52376.5050 29.5401944 52501.6300 34.3564680 52521.6500 35.13578002625 3 1 1841 52621.7500 39.0320845 52651.7800 40.2008607 52696.8250 41.84325572625 3 1 1842 52726.8550 42.9380434 52771.9000 44.4202658 52801.9300 45.40824792625 3 1 1843 52837.9660 46.4224236 52872.0000 47.3800940 52880.0080 47.56762782625 3 1 1844 52917.0450 48.4347713 52949.0770 49.0485513 52967.0950 49.39372182625 3 1 1845 52972.1000 49.4653670 53017.1450 50.1100130 53022.1500 50.15649262625 3 1 1846 53067.1950 50.5745960 53072.2000 50.5920264 53132.2600 50.80087162625 3 1 1847 53147.2750 50.7687418 53182.3100 50.6935988 53222.3500 50.42497052625 3 1 1848 53232.3600 50.3577994 53307.4350 49.4733267 53322.4500 49.22515632625 3 1 1849 53359.9875 48.6049721 53377.5050 48.3156985 53398.7763 47.93109832625 3 1 1850 53414.7297 47.6429495 53425.3654 47.4510822 53436.0010 47.25950222625 3 1 1851 53443.9777 47.1160924 53451.9544 46.9730319 53457.2722 46.87793132625 3 1 1852 53462.5900 46.7831330 53463.8413 46.7609220 53467.7515 46.73006552625 3 1 1853 53471.1924 46.7032016 53474.6334 46.6766437 53478.0743 46.65048882625 3 1 1854 53479.7947 46.6376426 53480.6551 46.6477715 53483.2357 46.67854102625 3 1 1855 53485.8164 46.7098231 53487.5369 46.7310461 53489.2573 46.75264192625 3 1 1856 53490.1176 46.7636799 53491.0560 46.8089000 53492.4637 46.87717582625 3 1 1857 53493.8713 46.9459214 53495.2790 47.0152457 53495.7482 47.03858362625 3 1 1858 53496.6866 47.1292113 53497.6250 47.2202949 53498.5635 47.31181012625 3 1 1859 53499.5019 47.4037927 53499.5020 47.4038026 53500.4404 47.55410402625 3 1 1860 53501.3788 47.7050120 53502.3173 47.8566173 53502.8820 47.94829772625 3 1 1861 53503.2557 48.0399670 53504.1941 48.2710080 53505.1325 48.50299242625 3 1 1862 53505.8882 48.6906413 53506.0511 48.7488698 53506.9697 49.07831952625 3 1 1863 53507.8883 49.4089663 53508.8069 49.7409131 53508.8944 49.77266582625 3 1 1864 53509.7255 50.1758303 53510.6441 50.6229453 53511.1491 50.86962742625 3 1 1865 53511.5627 51.1233207 53512.4813 51.6884638 53513.3999 52.25538282625 3 1 1866 53513.4037 52.2577357 53514.3185 52.9413576 53515.3128 53.68653282625 3 1 1867 53516.4582 54.6896458 53517.2218 55.3604077 53517.6036 55.74293332625 3 1 1868 53518.7491 56.8935932 53519.1309 57.2780670 53519.8945 58.15790372625 3 1 1869 53521.0399 59.4803191 53522.1854 60.8057388 53522.7581 61.54415802625 3 1 1870 53525.0489 64.5036960 53528.1989 68.5762977 53529.7261 70.54811502625 3 1 1871 53530.3943 71.4091101 53531.0625 72.1621241 53532.2556 73.50280422625 3 1 1872 53532.3033 73.5561878 53533.8305 74.9817622 53534.4032 75.51341712625 3 1 1873 53534.8805 75.8482466 53535.9304 76.5798645 53536.1333 76.72024012625 3 1 1874 53536.9529 77.0895751 53537.8874 77.5057848 53537.9754 77.52052482625 3 1 1875 53539.2958 77.7333892 53539.8108 77.8135607 53539.9912 77.78707032625 3 1 1876 53540.9683 77.6390683 53541.7605 77.5150311 53541.8485 77.47974802625 3 1 1877 53542.9928 77.0142044 53543.1689 76.9035008 53544.5883 76.00132682625 3 1 1878 53544.8413 75.8388306 53546.0517 74.7498371 53547.0419 73.85297532625 3 1 1879 53547.5921 73.2325473 53549.2425 71.3628806 53550.7830 69.34611082625 3 1 1880 53552.5434 67.0364581 53553.3137 65.9785165 53555.8443 62.50159282625 3 1 1881 53556.2844 61.9319447 53557.9349 59.7988303 53559.0352 58.37906562625 3 1 1882 53559.2553 58.0955029 53560.1355 57.0901004 53561.1533 55.92971162625 3 1 1883 53561.6759 55.3350043 53562.0886 54.9262699 53563.0239 54.00192922625 3 1 1884 53563.9591 53.0796986 53563.9865 53.0527378 53564.8944 52.29269222625 3 1 1885 53565.8296 51.5117945 53566.1871 51.2140294 53566.7649 50.81238732625 3 1 1886 53567.7001 50.1642083 53568.3877 49.6888835 53568.4978 49.62654892625 3 1 1887 53569.4881 49.0676405 53570.4784 48.5105766 53570.5883 48.44894662625 3 1 1888 53571.4687 48.0632059 53572.4590 47.6309068 53573.4491 47.20015902625 3 1 1889 53573.4492 47.2001248 53574.4395 46.8621572 53575.2096 46.60028202625 3 1 1890 53575.4298 46.5431198 53576.4200 46.2871653 53577.4103 46.03216612625 3 1 1891 53578.4006 45.7780430 53578.7306 45.6936071 53579.2808 45.59513042625 3 1 1892 53580.3811 45.3989647 53581.4814 45.2035509 53582.2516 45.06721972625 3 1 1893 53582.5817 45.0284696 53583.6820 44.8998711 53584.7823 44.77176012625 3 1 1894 53585.8826 44.6440694 53586.9829 44.5167409 53588.0282 44.39613922625 3 1 1895 53588.6333 44.3507441 53590.2838 44.2274869 53591.9342 44.10469162625 3 1 1896 53593.5847 43.9822570 53594.7950 43.8926969 53595.2351 43.86943542625 3 1 1897 53597.3257 43.7592859 53599.3063 43.6552241 53602.2771 43.49955522625 3 1 1898 53603.8174 43.4190470 53605.2479 43.3637227 53608.2187 43.24913022625 3 1 1899 53612.1797 43.0967062 53616.1408 42.9445989 53620.1019 42.79273862625 3 1 1900 53624.7231 42.6158450 53626.0435 42.5753607 53630.7748 42.43052692625 3 1 1901 53636.2763 42.2623115 53644.5285 42.0102867 53650.0300 41.84241902625 3 1 1902 53661.0330 41.5069432 53672.0360 41.1717172 53686.8901 40.75978552625 3 1 1903 53701.7441 40.3480600 53721.5495 39.7992973 53751.2576 38.97643122625 3 1 1904 53784.2666 38.0623694 53786.4672 38.0014420 53817.2756 37.18829292625 3 1 1905 53865.6888 35.9106622 53892.0960 35.2138533 53918.5032 34.55851142625 3 1 1906 53973.5182 33.1933508 54006.5272 32.3743238 54030.7338 31.82077872625 3 1 1907 54107.7548 30.0596658 54120.9584 29.7577896 54184.9500 28.40368262625 3 1 1908 54196.1272 28.1671894 54271.2960 26.7011700 54299.8980 26.14340042625 3 1 1909 54357.1020 25.1150746 54385.7040 24.6009612 54434.7360 23.79572072625 3 1 1910 54483.7680 22.9905565 54512.3700 22.5603117 54569.5740 21.69988982625 3 1 1911 54647.2080 20.6222552 54720.7560 19.6846533 54745.2720 19.37215132625 3 1 1912 54794.3040 18.8036211 54843.3360 18.2351496 54892.3680 17.71954082625 3 1 1913 54941.4000 17.2040009 54978.1740 16.8554638 55006.7760 16.58442652625 3 1 1914 55023.1200 16.4295718 55039.4640 16.2747429 55045.5930 16.22375502625 3 1 1915 55068.0660 16.0368513 55090.5390 15.8500158 55107.3938 15.70994952625 3 1 1916 55123.2270 15.5784367 55129.3560 15.5275588 55138.5495 15.46561102625 3 1 1917 55148.7645 15.3968334 55158.9795 15.3281093 55169.1945 15.25945142625 3 1 1918 55179.4095 15.1908760 55184.5170 15.1566329 55187.0708 15.14484542625 3 1 1919 55194.7320 15.1095538 55203.0062 15.0715352 55208.5223 15.04625772625 3 1 1920 55213.1190 15.0252480 55214.0384 15.0237263 55219.5545 15.01467402625 3 1 1921 55225.0706 15.0057137 55230.5867 14.9968635 55235.5920 14.98895372625 3 1 1922 55236.1028 14.9906485 55240.9038 15.0067082 55244.9898 15.02049142625 3 1 1923 55249.0758 15.0344007 55253.1618 15.0484593 55253.9790 15.05130192625 3 1 1924 55256.2263 15.0746765 55259.2908 15.1066665 55262.3553 15.13879032625 3 1 1925 55265.0112 15.1667660 55265.4198 15.1743300 55268.4843 15.23124302625 3 1 1926 55271.5488 15.2883722 55272.9789 15.3151351 55273.7961 15.33950152625 3 1 1927 55276.0434 15.4066676 55278.2907 15.4740163 55280.5380 15.54157662625 3 1 1928 55280.9466 15.5539052 55282.7853 15.6363273 55285.0326 15.73735562625 3 1 1929 55286.2584 15.7926237 55286.7181 15.8206331 55288.4036 15.92355112625 3 1 1930 55289.5272 15.9922977 55290.3444 16.0424187 55291.3659 16.12556132625 3 1 1931 55293.2046 16.2756084 55294.4304 16.3759051 55294.5837 16.39223632625 3 1 1932 55295.9627 16.5394376 55297.3417 16.6869763 55297.4949 16.70341002625 3 1 1933 55298.7207 16.8710506 55300.0998 17.0601003 55300.5594 17.12327322625 3 1 1934 55301.4788 17.2844451 55302.8578 17.5267729 55303.3175 17.60778022625 3 1 1935 55304.2368 17.8082271 55305.4626 18.0761547 55306.6884 18.40176412625 3 1 1936 55307.6078 18.6465749 55307.9142 18.7458010 55308.8336 19.04412072625 3 1 1937 55309.7529 19.3429527 55310.6723 19.7073586 55311.5916 20.07237012625 3 1 1938 55311.8981 20.1943002 55312.5110 20.4809063 55313.3282 20.86371962625 3 1 1939 55313.4303 20.9188595 55314.5540 21.5268338 55315.0647 21.80371962625 3 1 1940 55315.5755 22.1231791 55316.5970 22.7632121 55317.6185 23.49332892625 3 1 1941 55318.1292 23.8590195 55318.6400 24.2733477 55319.6615 25.10333222625 3 1 1942 55320.6830 26.0392855 55321.1937 26.5079822 55321.7045 27.03195022625 3 1 1943 55322.6238 27.9762955 55322.7260 28.0814484 55323.8496 29.36293702625 3 1 1944 55324.2582 29.8297284 55325.0754 30.8551751 55325.7905 31.75384422625 3 1 1945 55326.3012 32.4516661 55327.3227 33.8492959 55327.5270 34.15305362625 3 1 1946 55328.7528 35.9776825 55329.3657 36.8911472 55330.5915 38.86726972625 3 1 1947 55331.7152 40.6810265 55333.0431 42.9455528 55337.2313 50.09156412625 3 1 1948 55337.7420 50.9621742 55338.6614 52.4367151 55339.7850 54.23624822625 3 1 1949 55340.5001 55.2743208 55341.6237 56.9014649 55342.2571 57.69320882625 3 1 1950 55343.4624 59.1953185 55343.5135 59.2480641 55344.7699 60.54033092625 3 1 1951 55344.8517 60.6240853 55346.2409 61.7528398 55346.3635 61.82152282625 3 1 1952 55347.7118 62.5698091 55347.8753 62.6598848 55348.5290 62.83026972625 3 1 1953 55349.5097 63.0816447 55349.9510 63.1061807 55350.0736 63.11231382625 3 1 1954 55351.3892 62.9217133 55351.6344 62.8849320 55352.6150 62.45552222625 3 1 1955 55353.2688 62.1662410 55353.8408 61.7495494 55354.9850 60.91108792625 3 1 1956 55355.0666 60.8312520 55355.8838 60.0289758 55356.4151 59.50544412625 3 1 1957 55357.5182 58.1815609 55358.1312 57.4432168 55359.2752 55.83393892625 3 1 1958 55360.0107 54.7967313 55361.0322 53.1902388 55362.0537 51.58090252625 3 1 1959 55363.5860 48.9795711 55367.9274 41.6042248 55368.1827 41.17087072625 3 1 1960 55369.6128 38.8413386 55370.2257 37.8440619 55371.4005 36.05545502625 3 1 1961 55372.2687 34.7354108 55372.8306 33.9440066 55373.8010 32.57922862625 3 1 1962 55374.2607 31.9812864 55375.3332 30.5882793 55376.7123 28.95101412625 3 1 1963 55376.8655 28.7694072 55377.6316 27.9456449 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310230717 39496.4900 .000918339 39533.3768 .000902623 39582.5593 .0008879752625 310230718 39631.7419 .000877927 39717.8113 .000867325 39828.4719 .0008609132625 310230719 39976.0195 .000858615 40264.6996 .000863627 40663.8622 .0008784092625 310230720 41142.8573 .000902720 41621.8524 .000931582 42100.8475 .0009659392625 310230721 42579.8425 .001005268 43058.8377 .001051618 43378.1678 .0010864272625 310230722 43697.4978 .001125022 44016.8279 .001167918 44176.4929 .0011905842625 310230723 44495.8229 .001241018 44815.1530 .001297487 45134.4830 .0013609442625 310230724 45533.6457 .001452040 45852.9758 .001535859 46092.4733 .0016060142625 310230725 46331.9708 .001683926 46571.4684 .001770509 46810.9659 .0018670112625 310230726 47070.4216 .001984516 47299.9401 .002101589 47499.5214 .0022150412625 310230727 47729.0398 .002361024 47921.1369 .002497973 48093.2758 .0026338782625 310230728 48277.8884 .002795536 48427.5745 .002940362 48577.2604 .0030992022625 310230729 48726.9463 .003273966 48906.5695 .003507615 49026.3183 .0036799302625 310230730 49146.0671 .003867266 49265.8158 .004071387 49385.5646 .0042943182625 310230731 49505.3133 .004538395 49625.0621 .004806318 49744.8109 .0051012272625 310230732 49864.5597 .005426787 49984.3084 .005787297 50104.0572 .0061878372625 310230733 50200.2517 .006542548 50309.2120 .006985479 50407.3840 .0074271432625 310230734 50497.3750 .007869895 50554.6420 .008173905 50652.8140 .0087412472625 310230735 50738.7145 .009290457 50816.4340 .009837911 50890.0630 .0104078872625 310230736 50963.6920 .011037359 51037.3210 .011741578 51086.4070 .0122648322625 310230737 51135.4930 .012845099 51184.5790 .013504130 51221.3935 .0140732812625 310230738 51258.2080 .014739019 51278.6605 .015170010 51299.1130 .0156651602625 310230739 51319.5655 .016249221 51334.9049 .016769230 51349.2217 .0173432572625 310230740 51363.0271 .018008924 51372.2307 .018535353 51381.4344 .0191492772625 310230741 51390.6380 .019876471 51397.5407 .020517525 51404.4434 .0212639402625 310230742 51411.3461 .022145359 51417.5330 .023083410 51423.3620 .0241323652625 310230743 51427.2480 .024943162 51431.1339 .025863285 51435.0199 .0269151442625 310230744 51438.9059 .028127343 51442.7919 .029537120 51446.0643 .0309133042625 310230745 51448.7231 .032186450 51451.3819 .033626573 51454.0407 .0352667812625 310230746 51456.6996 .037149357 51458.6937 .038752475 51460.6878 .0405512252625 310230747 51462.6819 .042581405 51464.6760 .044887509 51466.0054 .0466051262625 310230748 51467.8462 .049263809 51469.2268 .051505697 51470.6073 .0539950202625 310230749 51471.9878 .056769395 51473.3683 .059872524 51474.7489 .0633554532625 310230750 51476.1295 .067276685 51477.5100 .071703302 51478.8905 .0767123412625 310230751 51479.8109 .080417889 51480.7312 .084448258 51481.7539 .0893451772625 310230752 51482.7765 .094724158 51483.7991 .100632095 51484.8217 .1071176192625 310230753 51485.8444 .114231771 51486.8670 .122024478 51487.8896 .1305478652625 310230754 51488.9122 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51546.2508 .1976019102625 310230767 51547.2598 .184167624 51548.2688 .171674884 51549.2778 .1600987892625 310230768 51550.2869 .149405467 51551.2959 .139557962 51552.3049 .1305114872625 310230769 51553.3139 .122219206 51554.4782 .113524221 51555.6425 .1056927272625 310230770 51556.8067 .098650032 51557.9710 .092321804 51559.1353 .0866388482625 310230771 51560.2995 .081535858 51561.4638 .076950888 51562.6280 .0728285902625 310230772 51563.7923 .069117135 51564.9565 .065770993 51566.1811 .0625997382625 310230773 51567.5266 .059477389 51568.8721 .056685957 51570.2176 .0541823772625 310230774 51572.0116 .051228647 51573.8055 .048647514 51575.5995 .0463784862625 310230775 51577.3935 .044372678 51579.1875 .042590092 51581.0620 .0409305792625 310230776 51583.0171 .039388376 51585.9497 .037376639 51588.8824 .0356617562625 310230777 51591.8150 .034187383 51594.7476 .032910246 51597.6802 .0317967502625 310230778 51601.5904 .030521615 51605.5005 .029442234 51609.4107 .0285216852625 310230779 51613.6141 .027676914 51618.1108 .026909132 51624.8558 .0259667782625 310230780 51631.6008 .025219835 51638.3458 .024623089 51647.3391 .0240066202625 310230781 51656.3325 .023546207 51665.3258 .023202783 51678.8159 .0228476502625 310230782 51692.6969 .022628801 51711.4657 .022501503 51720.8500 .0224930062625 310230783 51745.8750 .022589414 51770.9000 .022809803 51808.4375 .0233023142625 310230784 51865.9950 .024303904 51911.0400 .025217747 51971.1000 .0265819692625 310230785 52031.1600 .028077329 52121.2500 .030533733 52211.3400 .0332055922625 310230786 52321.4500 .036690887 52521.6500 .043200715 52621.7500 .0462003062625 310230787 52696.8250 .048162126 52771.9000 .049767986 52837.9660 .0508155942625 310230788 52880.0080 .051281923 52949.0770 .051674239 52972.1000 .0517017962625 310230789 53022.1500 .051582839 53072.2000 .051226991 53147.2750 .0502929612625 310230790 53222.3500 .048986701 53322.4500 .047105115 53359.9875 .0466412312625 310230791 53377.5050 .046570431 53398.7763 .046728699 53414.7297 .0471474312625 310230792 53425.3654 .047660215 53436.0010 .048458576 53443.9777 .0493325192625 310230793 53451.9544 .050555726 53457.2722 .051644280 53462.5900 .0530352312625 310230794 53467.7515 .054778653 53471.1924 .056230136 53474.6334 .0579884782625 310230795 53478.0743 .060148908 53480.6551 .062115635 53483.2357 .0644720392625 310230796 53485.8164 .067339915 53487.5369 .069619684 53489.2573 .0722734712625 310230797 53491.0560 .075547175 53492.4637 .078549977 53493.8713 .0820271872625 310230798 53495.2790 .086078546 53496.6866 .090823794 53497.6250 .0944432632625 310230799 53498.5635 .098484945 53499.5019 .103003337 53500.4404 .1080609272625 310230800 53501.3788 .113724573 53502.3173 .120070005 53503.2557 .1271769782625 310230801 53504.1941 .135133685 53505.1325 .144033792 53506.0511 .1537552472625 310230802 53506.9697 .164573178 53507.8883 .176588294 53508.8069 .1899032872625 310230803 53509.7255 .204621222 53510.6441 .220843617 53511.5627 .2386682132625 310230804 53512.4813 .258186444 53513.3999 .279480627 53514.3185 .3026209182625 310230805 53515.3128 .329811712 53516.4582 .363951128 53517.6036 .4011202802625 310230806 53518.7491 .441275541 53519.8945 .484289399 53521.0399 .5299637012625 310230807 53522.7581 .602812177 53525.0489 .705799022 53528.1989 .8504557292625 310230808 53529.7261 .917905629 53531.0625 .973449586 53532.2556 1.019178552625 310230809 53533.8305 1.07239004 53534.8805 1.10248457 53535.9304 1.127681432625 310230810 53536.9529 1.14710945 53537.9754 1.16117331 53539.2958 1.171031872625 310230811 53539.9912 1.17237208 53540.9683 1.16973310 53541.8485 1.162864742625 310230812 53543.1689 1.14478088 53544.5883 1.11545926 53546.0517 1.075460082625 310230813 53547.5921 1.02405094 53549.2425 .960362327 53550.7830 .8949355112625 310230814 53553.3137 .780269643 53556.2844 .644071149 53557.9349 .5716282642625 310230815 53559.0352 .525602893 53560.1355 .481786534 53561.1533 .4434418302625 310230816 53562.0886 .410185520 53563.0239 .378901528 53563.9591 .3496320632625 310230817 53564.8944 .322379698 53565.8296 .297132225 53566.7649 .2738429842625 310230818 53567.7001 .252456187 53568.4978 .235657995 53569.4881 .2165669652625 310230819 53570.4784 .199320453 53571.4687 .183795108 53572.4590 .1698631852625 310230820 53573.4492 .157396856 53574.4395 .146265959 53575.4298 .1363476862625 310230821 53576.4200 .127523943 53577.4103 .119680494 53578.4006 .1127131702625 310230822 53579.2808 .107177122 53580.3811 .101026659 53581.4814 .0956280632625 310230823 53582.5817 .090881848 53583.6820 .086700118 53584.7823 .0830058122625 310230824 53585.8826 .079731827 53586.9829 .076820087 53588.6333 .0730243702625 310230825 53590.2838 .069793014 53591.9342 .067016337 53593.5847 .0646076162625 310230826 53595.2351 .062499484 53597.3257 .060178678 53599.3063 .0582718982625 310230827 53602.2771 .055830412 53605.2479 .053780570 53608.2187 .0520332882625 310230828 53612.1797 .050067061 53616.1408 .048421310 53620.1019 .0470225422625 310230829 53626.0435 .045276219 53630.7748 .044116549 53636.2763 .0429636872625 310230830 53644.5285 .041531253 53650.0300 .040726127 53661.0330 .0393754832625 310230831 53672.0360 .038274550 53686.8901 .037053479 53701.7441 .0360358262625 310230832 53721.5495 .034885399 53751.2576 .033437649 53784.2666 .0320629792625 310230833 53817.2756 .030838583 53865.6888 .029217882 53918.5032 .0276109512625 310230834 53973.5182 .026072125 54030.7338 .024591974 54107.7548 .0227664812625 310230835 54184.9500 .021105749 54271.2960 .019435006 54357.1020 .0179429382625 310230836 54434.7360 .016727408 54512.3700 .015632700 54569.5740 .0148938522625 310230837 54647.2080 .013986800 54720.7560 .013223514 54794.3040 .0125562222625 310230838 54843.3360 .012170134 54892.3680 .011840065 54941.4000 .0115789072625 310230839 54978.1740 .011442443 55006.7760 .011383454 55023.1200 .0113734532625 310230840 55045.5930 .011395265 55068.0660 .011469224 55090.5390 .0116112942625 310230841 55107.3938 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55295.9627 .0626412702625 310230854 55297.3417 .066191826 55298.7207 .070128822 55300.0998 .0745098272625 310230855 55301.4788 .079400818 55302.8578 .084879345 55304.2368 .0910345792625 310230856 55305.4626 .097156510 55306.6884 .103975047 55307.9142 .1115807882625 310230857 55308.8336 .117861961 55309.7529 .124687203 55310.6723 .1321067842625 310230858 55311.5916 .140170681 55312.5110 .148934822 55313.4303 .1584536992625 310230859 55314.5540 .171200358 55315.5755 .183934173 55316.5970 .1978446612625 310230860 55317.6185 .213012891 55318.6400 .229517122 55319.6615 .2474307482625 310230861 55320.6830 .266819990 55321.7045 .287741350 55322.6238 .3079161102625 310230862 55323.8496 .336839117 55325.0754 .368086867 55326.3012 .4016324202625 310230863 55327.5270 .437397221 55328.7528 .475244839 55330.5915 .5354671552625 310230864 55333.0431 .620630017 55337.2313 .769807601 55338.6614 .8186204262625 310230865 55340.5001 .877279897 55342.2571 .927193468 55343.5135 .9581910102625 310230866 55344.7699 .984594005 55346.3635 1.01066548 55347.7118 1.025665542625 310230867 55348.5290 1.03143668 55349.9510 1.03532898 55351.3892 1.031249292625 310230868 55352.6150 1.02148653 55353.8408 1.00613886 55355.0666 .9855069782625 310230869 55355.8838 .969009382 55357.5182 .930063412 55359.2752 .8805908142625 310230870 55361.0322 .824975707 55363.5860 .737029721 55367.9274 .5824183182625 310230871 55369.6128 .524771317 55371.4005 .466817074 55372.8306 .4233729162625 310230872 55374.2607 .382839767 55375.3332 .354460065 55376.7123 .3205724632625 310230873 55377.6316 .299614827 55378.5510 .279945069 55379.4703 .2615416962625 310230874 55380.3897 .244365565 55381.3090 .228377599 55382.2284 .2135254132625 310230875 55383.1988 .199024169 55384.2203 .184990536 55385.2418 .1721402532625 310230876 55386.2633 .160391363 55387.2848 .149662253 55388.3063 .1398729242625 310230877 55389.3278 .130945993 55390.3493 .122807474 55391.2176 .1164570202625 310230878 55392.2901 .109269370 55393.3627 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164611.275 .150890330 164613.310 .1595827732625 310231948 164615.346 .169544175 164617.381 .180707163 164619.417 .1929906922625 310231949 164621.452 .206253881 164623.985 .223884007 164632.941 .2896838022625 310231950 164635.655 .308107690 164637.898 .321830655 164640.555 .3357221782625 310231951 164642.401 .343553744 164644.640 .350758056 164646.427 .3545434812625 310231952 164648.441 .356592779 164649.090 .356738953 164651.040 .3556513692625 310231953 164652.843 .352612657 164654.873 .346905943 164657.147 .3377790762625 310231954 164659.421 .325999513 164661.857 .310799817 164664.050 .2952077262625 310231955 164666.812 .273597727 164670.811 .239919585 164676.089 .1946721702625 310231956 164678.825 .172234776 164680.649 .158002607 164682.473 .1444828872625 310231957 164684.297 .131760272 164686.121 .119895045 164687.945 .1089244492625 310231958 164689.313 .101294020 164690.773 .093715567 164692.279 .0865022782625 310231959 164693.784 .079892146 164695.290 .073856181 164696.795 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.014890506 164982.910 .014669385 165010.549 .0145655692625 310231973 165019.761 .014558559 165042.793 .014609115 165060.067 .0147211942625 310231974 165077.341 .014912902 165094.615 .015207849 165106.131 .0154793332625 310231975 165117.262 .015815329 165128.010 .016226920 165138.758 .0167489822625 310231976 165146.819 .017233465 165154.880 .017819427 165162.558 .0184962702625 310231977 165168.316 .019098356 165174.074 .019799785 165179.832 .0206216582625 310231978 165185.589 .021590368 165189.428 .022334216 165193.267 .0231700572625 310231979 165197.106 .024111713 165200.944 .025174781 165204.783 .0263779012625 310231980 165208.621 .027740744 165212.460 .029286404 165216.298 .0310381442625 310231981 165219.178 .032503289 165222.057 .034108791 165224.936 .0358653002625 310231982 165227.815 .037782103 165230.694 .039867041 165233.573 .0421258542625 310231983 165236.452 .044561441 165239.331 .047173067 165243.170 .0509197122625 310231984 165247.008 .054941354 165252.766 .061384915 165264.589 .0750538672625 310231985 165269.042 .079807262 165272.496 .083128015 165275.951 .0860183342625 310231986 165278.638 .087907547 165281.709 .089628058 165284.780 .0908354362625 310231987 165287.851 .091495473 165289.939 .091621269 165291.996 .0914871142625 310231988 165295.221 .090766248 165298.292 .089519542 165301.363 .0877614902625 310231989 165304.434 .085540120 165307.505 .082914183 165312.111 .0783641652625 310231990 165316.717 .073295626 165329.308 .058657385 165334.913 .0525148622625 310231991 165338.751 .048614448 165342.590 .045005574 165346.428 .0417080042625 310231992 165350.075 .038865058 165353.530 .036426746 165356.985 .0342248772625 310231993 165360.439 .032244852 165363.894 .030468235 165367.349 .0288773842625 310231994 165370.804 .027454033 165374.258 .026180896 165377.905 .0249809152625 310231995 165381.744 .023858637 165385.583 .022862500 165389.421 .0219762482625 310231996 165393.260 .021185060 165399.017 .020150521 165404.775 .0192677702625 310231997 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