14-Si- 28 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 1.40280E+4 2.77370E+1 2 0 0 21425 1451 1 0.0 0.0 0 0 0 61425 1451 2 1.00000E+0 1.50000E+8 6 0 10 61425 1451 3 1.20000E+7 0.0 1 0 450 2721425 1451 4 14-Si- 28 LANL,ORNL EVAL-JUN97 M.B.CHADWICK,P.G.YOUNG,D.HETRICK 1425 1451 5 Ch97,Ch99,HE97 DIST-AUG99 REV1- 19990803 1425 1451 6 ----ENDF/B-VI MATERIAL 1425 REVISION 1 1425 1451 7 -----INCIDENT NEUTRON DATA 1425 1451 8 ------ENDF-6 FORMAT 1425 1451 9 1425 1451 10 ******************************************************************1425 1451 11 1425 1451 12 ENDF/B-VI MOD 2 Evaluation, July 1997, M.B. Chadwick and 1425 1451 13 P.G. Young, LANL 1425 1451 14 1425 1451 15 Los Alamos LA150 Library, produced with FKK/GNASH/GSCAN code 1425 1451 16 in cooperation with ECN Petten. 1425 1451 17 1425 1451 18 This evaluation provides a complete representation of the 1425 1451 19 nuclear data needed for transport, damage, heating, 1425 1451 20 radioactivity, and shielding applications over the incident 1425 1451 21 neutron energy range from 1.0E-11 to 150 MeV. The discussion 1425 1451 22 here is divided into the region below and above 20 MeV. 1425 1451 23 1425 1451 24 INCIDENT NEUTRON ENERGIES < 20 MeV 1425 1451 25 1425 1451 26 Below 20 MeV the evaluation is based completely on the ENDF/B- 1425 1451 27 VI.5 (Release 5) evaluation by D. Hetrick, N. Larson, D. Larson, 1425 1451 28 L. Leal, and S. Epperson. 1425 1451 29 1425 1451 30 INCIDENT NEUTRON ENERGIES > 20 MeV 1425 1451 31 1425 1451 32 The ENDF/B-VI Release 5 evaluation extends to 20 MeV and 1425 1451 33 includes cross sections and energy-angle data for all 1425 1451 34 significant reactions. The present evauation utilizes a more 1425 1451 35 compact composite reaction spectrum representation above 20 MeV 1425 1451 36 in order to reduce the length of the file. No essential data for 1425 1451 37 applications is lost with this representation. 1425 1451 38 The evaluation above 20 MeV utilizes MF=6, MT=5 to represent 1425 1451 39 all reaction data. Production cross sections and emission 1425 1451 40 spectra are given for neutrons, protons, deuterons, tritons, 1425 1451 41 alpha particles, gamma rays, and all residual nuclides produced 1425 1451 42 (A>5) in the reaction chains. To summarize, the ENDF sections 1425 1451 43 with non-zero data above En = 20 MeV are: 1425 1451 44 1425 1451 45 MF=3 MT= 1 Total Cross Section 1425 1451 46 MT= 2 Elastic Scattering Cross Section 1425 1451 47 MT= 3 Nonelastic Cross Section 1425 1451 48 MT= 5 Sum of Binary (n,n') and (n,x) Reactions 1425 1451 49 1425 1451 50 MF=4 MT= 2 Elastic Angular Distributions 1425 1451 51 1425 1451 52 MF=6 MT= 5 Production Cross Sections and Energy-Angle 1425 1451 53 Distributions for Emission Neutrons, Protons, 1425 1451 54 Deuterons, Tritons, and Alphas; and Angle- 1425 1451 55 Integrated Spectra for Gamma Rays and Residual 1425 1451 56 1425 1451 57 Nuclei That Are Stable Against Particle Emission 1425 1451 58 1425 1451 59 The evaluation is based on nuclear model calculations that 1425 1451 60 have been benchmarked to experimental data, especially for n + 1425 1451 61 Si28 and p + Si28 reactions [Ch97]. We use the GNASH code system 1425 1451 62 [Yo92], which utilizes Hauser-Feshbach statistical, 1425 1451 63 preequilibrium and direct-reaction theories. Spherical optical 1425 1451 64 model calculations are used to obtain particle transmission 1425 1451 65 coefficients for the Hauser-Feshbach calculations, as well as 1425 1451 66 for the elastic neutron angular distributions. 1425 1451 67 Cross sections and spectra for producing individual residual 1425 1451 68 nuclei are included for reactions. The energy-angle-correlations 1425 1451 69 for all outgoing particles are based on Kalbach systematics 1425 1451 70 [Ka88]. 1425 1451 71 A model was developed to calculate the energy distributions of 1425 1451 72 all recoil nuclei in the GNASH calculations [Ch96]. The recoil 1425 1451 73 energy distributions are represented in the laboratory system in 1425 1451 74 MT=5, MF=6, and are given as isotropic in the lab system. All 1425 1451 75 other data in MT=5,MF=6 are given in the center-of-mass system. 1425 1451 76 This method of representation utilizes the LCT=3 option approved 1425 1451 77 at the November, 1996, CSEWG meeting. 1425 1451 78 1425 1451 79 Preequilibrium corrections were performed in the course of the 1425 1451 80 GNASH calculations using the exciton model of Kalbach [Ka77, 1425 1451 81 Ka85], validated by comparison with calculations using Feshbach, 1425 1451 82 Kerman, Koonin (FKK) theory [Ch93]. Discrete level data from 1425 1451 83 nuclear data sheets were matched to continuum level densities 1425 1451 84 using the formulation of Ignatyuk [Ig75] and pairing and shell 1425 1451 85 parameters from the Cook [Co67] analysis. Neutron and charged- 1425 1451 86 particle transmission coefficients were obtained from the 1425 1451 87 optical potentials, as discussed below. Gamma-ray transmission 1425 1451 88 coefficients were calculated using the Kopecky-Uhl model [Ko90]. 1425 1451 89 1425 1451 90 DETAILS OF THE n + SI28 ANALYSIS 1425 1451 91 1425 1451 92 The neutron total cross section above 20 MeV was obtained by 1425 1451 93 evaluating the experimental data, with a particular emphasis on 1425 1451 94 the high-accuracy Los Alamos measurements by Finlay [Fi93]. 1425 1451 95 The Madland global medium-energy optical potential [Ma88] was 1425 1451 96 used for neutrons above 46 MeV, and the Wilmore-Hodgson 1425 1451 97 potential [Wi64] was used for lower neutron energies. The 1425 1451 98 Madland global medium-energy optical potential was used for 1425 1451 99 protons above 28 MeV, and the Beccheti-Greenlees potential 1425 1451 100 [Be69] was used for lower proton energies. In both cases the 1425 1451 101 transition region to the Madland potential was chosen to 1425 1451 102 approximately give continuity in the reaction cross section. 1425 1451 103 For deuterons, the Perey [Pe63] global potential was used; for 1425 1451 104 alpha particles the MacFadden potential [Ma66] was used; and for 1425 1451 105 tritons the Beccheti-Greenlees potential [Be71] was used. 1425 1451 106 1425 1451 107 While the above optical potentials did describe the 1425 1451 108 experimental proton nonelastic cross section data fairly well, 1425 1451 109 we modified the theoretical predictions slightly to better agree 1425 1451 110 with the measurements, and renormalized the transmission 1425 1451 111 coefficients accordingly. In addition to using Si nonelastic 1425 1451 112 proton cross section measurements, we also were guided by p+Al 1425 1451 113 nonelastic data, scaled by A**2/3. 1425 1451 114 1425 1451 115 Coupled-channel optical model calculations were performed to 1425 1451 116 determine inelastic scattering on 28Si, for the 0+, 2+, and 4+ 1425 1451 117 states, as well as a DWBA calculation of the inelastic 1425 1451 118 scattering to the 3- vibrational state, all performed with the 1425 1451 119 ECIS code [Ra72]. Near 20 MeV neutron energy, inelastic 1425 1451 120 scattering to these states has been measured by Alarcon and 1425 1451 121 Rapaport [Al83], and Finlay et al., from Ohio University, and 1425 1451 122 the inelastic cross sections to these collective states is in 1425 1451 123 good agreement with the ORNL ENDF evaluation for 28Si. To 1425 1451 124 produce continuity in the calculated inelastic cross sections up 1425 1451 125 to 150 MeV, we performed a rotational band (0+, 2+, 4+) coupled 1425 1451 126 channel calculation using the Madland medium energy potential 1425 1451 127 (with its imaginary potential reduced by 20%, to approximately 1425 1451 128 account for the coupling). Deformation parameters were chosen to 1425 1451 129 reproduce the ENDF/B-VI cross sections at 20 MeV, resulting in 1425 1451 130 values of beta_2=-0.365, beta_4=+0.22, in good agreement with 1425 1451 131 Rapaport's values of -0.37, 0.17 respectively. A vibrarional 1425 1451 132 DWBA calculation (using ECIS) was performed for the 3- state 1425 1451 133 resulting in beta-3=0.235 (Rapaport obtained 0.23). 1425 1451 134 1425 1451 135 Only 2 measurements exist for neutron-induced emission spectra 1425 1451 136 above 20 MeV for 28Si. New data have been published by the 1425 1451 137 Louvain group at the 1997 Trieste conference for 63 MeV Si(n,xz) 1425 1451 138 1425 1451 139 double-differential spectra (z=p,d,a ejectiles). Additionally, 1425 1451 140 Haight et al. of Los Alamos have preliminary data for Si(n,xp), 1425 1451 141 for neutrons up to 50 MeV, including emission spectra at four 1425 1451 142 angles. Our calculations agree reasonably well with these 1425 1451 143 measurements. While default level density parameters (using the 1425 1451 144 Ignatyuk model) were utilized, in the case of 28Al the level 1425 1451 145 density parameter was slightly modified to optimize agreement 1425 1451 146 with the Abfalterer total level density measurements based on 1425 1451 147 fluctuation analyses [Ab93]. 1425 1451 148 1425 1451 149 As an independent validation of our GNASH calculations using 1425 1451 150 the exciton model, we have also performed FKK calculations. This 1425 1451 151 was done by implementing a multistep reaction theory recently 1425 1451 152 developed by Koning and Chadwick, which is particularly suited 1425 1451 153 to the simultaneous calculation of neutron and proton emission. 1425 1451 154 The FKK theory describes the forward-peaking very well, as do 1425 1451 155 our exciton model calculations using the phenomenological 1425 1451 156 Kalbach angular distribution systematics. 1425 1451 157 1425 1451 158 **************************************************************** 1425 1451 159 1425 1451 160 ENDF/B-VI MOD 1 Evaluation, May, 1996 1425 1451 161 D.M. Hetrick, D.C. Larson, N.M. Larson, L.C. Leal, 1425 1451 162 S.J.Epperson (ORNL) 1425 1451 163 1425 1451 164 Complete documentation for this evaluation is found in 1425 1451 165 Hetrick, et al. [He97]. 1425 1451 166 This work employed nuclear model codes including the 1425 1451 167 Distorted Wave Born Approximation (DWBA) program DWUCK [Ku72] 1425 1451 168 and the Hauser-Feshbach code TNG [Fu88],[Fu80],[Sh86]. The TNG 1425 1451 169 code provides energy and angular distributions of particles 1425 1451 170 emitted in the compound and pre-compound reactions, ensures 1425 1451 171 consistency among all reactions, and maintains energy balance. 1425 1451 172 Evaluation work was completed in 1989, except for MT=3, 1425 1451 173 MF=1,2,3,102 which were completed May 1996. The latter results 1425 1451 174 Incorporated a new resonance region analysis. Uncertainty files 1425 1451 175 are provided for all FILE 3 cross sections using methodology 1425 1451 176 described in Hetrick et al. [He91]. 1425 1451 177 1425 1451 178 DESCRIPTION OF FILES 1425 1451 179 MF=2 RESONANCE PARAMETERS 1425 1451 180 MT=151 Resonance parameters from a new analysis for all three 1425 1451 181 isotopes of silicon, by Leal et al. [Le97], using the 1425 1451 182 multilevel R-matrix analysis code SAMMY [La96]. Energy 1425 1451 183 range 1.0E-5 eV to 1.75 MeV. 1425 1451 184 The following data were included in the analysis: 1425 1451 185 (1) Total cross section data of Perey et al. [Pe72] for 1425 1451 186 natural silicon, measured on the 47-m flight path at the 1425 1451 187 Oak Ridge Electron Linear Accelerator (ORELA) 1425 1451 188 (2) Transmission data of Harvey et al. [Ha96a] for natural 1425 1451 189 silicon measured on the 200-m flight path at ORELA 1425 1451 190 (3) Total cross section data of Larson et al. [La76], 1425 1451 191 measured on the 80- and 200-m flight paths at ORELA 1425 1451 192 (4) 29Si-oxide [Ha96b) and 30Si-oxide [Ha83] transmission 1425 1451 193 data of Harvey et al., measured on the 80-m ORELA flight 1425 1451 194 path 1425 1451 195 (5) Elastic scattering thermal cross section for 28Si 1425 1451 196 1.992+-0.006 barns from Mughabghab [Mu81]. Capture 1425 1451 197 thermal cross section 0.169+-0.004 barns from Raman et 1425 1451 198 al. [Ra92]. Values given by resonance parameters are 1425 1451 199 1.992 and 0.169 barns respectively. 1425 1451 200 1425 1451 201 MF=3 CROSS SECTIONS 1425 1451 202 MT=1 Total cross section 1.E-5 eV to 1.75 MeV taken from 1425 1451 203 resonance parameters evaluation. From 1.75 to 20 MeV, 1425 1451 204 based on 200-m data [Ha96a] for natural silicon. 1425 1451 205 Thermal value = 2.161 barns. 1425 1451 206 MT=2 Elastic scattering cross sections were obtained by 1425 1451 207 subtracting the nonelastic from the total. 1425 1451 208 MT=3 Nonelastic cross section: sum of MT=4,16,22,28,102,103,1425 1451 209 104, and 107. 1425 1451 210 MT=4 Total inelastic cross section: sum of MT=51-67 and 91. 1425 1451 211 MT=16 (n,2n) cross sections calculated by the TNG code 1425 1451 212 [Fu88],[Fu80],[Sh86]. 1425 1451 213 MT=22 (n,na) cross sections calculated by the TNG code. 1425 1451 214 No data available other than alpha emission. 1425 1451 215 MT=28 (n,np) cross sections calculated by the TNG code. 1425 1451 216 No data available other than proton emission. 1425 1451 217 MT=51-67 Inelastic scattering excited levels; first levels 1425 1451 218 taken from ENDF/B-V, and remianing levels calculated by 1425 1451 219 the code TNG [Fu88],[Fu80],[Sh86] which includes direct 1425 1451 220 interaction cross sections from DWUCK [Ku72] calculations 1425 1451 221 (when data available). 1425 1451 222 MT=91 Inelastic scattering exciting the continuum calculated 1425 1451 223 by code TNG with guidance from (n,xn) emission data. 1425 1451 224 MT=102 (n,g) capture cross section, 1.e-5 eV to 1.75 MeV 1425 1451 225 taken from resonance parameters. From 1.75 to 20 MeV, 1425 1451 226 evaluation based on TNG calculation, normalized to 1425 1451 227 available data at 14.7 MeV. Thermal value = 0.169 barns 1425 1451 228 [Ra92]. 1425 1451 229 MT=103 (n,p) cross sections were calculated by the code TNG 1425 1451 230 [Fu88],[Fu80],[Sh86] from 9.0 to 20.0 MeV. From threshold 1425 1451 231 to 9.0 MeV, taken from ENDF/B-V evaluation. 1425 1451 232 MT=107 (n,a) cross sections were calculated by the code TNG 1425 1451 233 [Fu88],[Fu80],[Sh86] from 9.0 to 20.0 MeV. From threshold 1425 1451 234 to 9.0 MeV, taken from ENDF/B-V evaluation. 1425 1451 235 MT=600-613 (n,p) reaction to discrete levels calculated by 1425 1451 236 code TNG [Fu88],[Fu80],[Sh86] from 9.0 to 20.0 MeV. From 1425 1451 237 threshold to 9.0 MeV includes the structure from MT=103 in 1425 1451 238 the ENDF/B-V evaluation by first subtracting the TNG 1425 1451 239 calculated CONTINUUM (MT=649) and multiplying by 1425 1451 240 appropriate ratios for each of the levels. 1425 1451 241 MT=649 (n,p) continuum protons calculated by code TNG [Fu88], 1425 1451 242 [Fu80],[Sh86]. 1425 1451 243 MT=800-815 (n,a) reaction to discrete levels calculted by the 1425 1451 244 code TNG [Fu88],[Fu80],[Sh86] from 9.0 to 20.0 MeV. 1425 1451 245 From threshold to 9.0 MeV includes the structure from 1425 1451 246 MT=107 in the ENDF/B-V evaluation by first subtracting the 1425 1451 247 TNG calculated continuum (MT=849) and multiplying by 1425 1451 248 appropriate ratios for each of the levels. 1425 1451 249 MT=849 (n,a) continuum alphas calculated by the code TNG 1425 1451 250 [Fu88],[Fu80],[Sh86]. 1425 1451 251 1425 1451 252 MF=4 ANGULAR DISTRIBUTIONS 1425 1451 253 MT=2 Angular distributions of secondary neutrons from 1425 1451 254 elastic scattering are taken from the ENDF/B-V evaluation. 1425 1451 255 1425 1451 256 MF=6 PRODUCT ENERGY-ANGLE DISTRIBUTIONS 1425 1451 257 MT=16 (n,2n) reaction includes simple constant yields for 1425 1451 258 the neutron and 27Si residual, and energy dependent gamma- 1425 1451 259 ray yield based on TNG calculated gamma-ray spectra. TNG 1425 1451 260 calculated normalized distributions are given for each 1425 1451 261 product. (Angular distributions are given only for the 1425 1451 262 outgoing neutron). (n,xn) D-D emission data heavily used 1425 1451 263 to benchmark the TNG calculations. 1425 1451 264 MT=22 (n,na) reaction includes simple constant yields for 1425 1451 265 the neutron, alpha, and 24Mg residual, and energy- 1425 1451 266 dependent gamma-ray yield based on TNG calculated gamma- 1425 1451 267 ray spectra. Calculated normalized distributions are 1425 1451 268 given for each product. (Angular distributions are given 1425 1451 269 only for the outgoing neutron; isotropy is assumed for the 1425 1451 270 alpha and residual). 1425 1451 271 MT=28 (n,np) reaction includes simple constant yields for 1425 1451 272 the neutron and 27Al residual, and energy dependent gamma- 1425 1451 273 ray yield based on TNG calculated gamma-ray spectra; 1425 1451 274 calculated normalized distributions are given for each 1425 1451 275 product. (Angular distributions are given only for the 1425 1451 276 for the outgoing neutron). 1425 1451 277 MT=51-67 Inelastic scattering exciting levels; each section 1425 1451 278 includes simple constant yields for the neutron and 28Si 1425 1451 279 residual; angular distributions are given for the outgoing 1425 1451 280 neutron (Legendre coefficients computed by DWUCK [Ku72] 1425 1451 281 and TNG [Fu88],[Fu80],[Sh86]). 1425 1451 282 MT=91 Inelastic scattering exciting the continuum includes 1425 1451 283 simple constant yields for the neutron and 28Si residual 1425 1451 284 and energy dependent gamma-ray yield based on TNG 1425 1451 285 calculated gamma-ray spectra; TNG calculated normalized 1425 1451 286 distributions are given for each. (Angular distributions 1425 1451 287 are given only for the outgoing neutron). (n,xn) D-D 1425 1451 288 emission data heavily used to benchmark the TNG 1425 1451 289 calculations. 1425 1451 290 MT=600-613 (n,p) proton angular distributions to discrete 1425 1451 291 states taken from the ENDF/B-V evaluation which compared 1425 1451 292 very well with the TNG calculation. 1425 1451 293 MT=649 (n,p) continuum includes simple constant yields for 1425 1451 294 protons and 28Al residual, and energy-dependent gamma-ray 1425 1451 295 yield based on TNG calculated gamma-ray spectra; calculated1425 1451 296 normalized distributions are given for each product. 1425 1451 297 MT=800-815 (n,a) alpha angular distributions to discrete 1425 1451 298 states taken from the ENDF/B-V evaluation which compared 1425 1451 299 very well with the TNG calculation for MT=800-811 and, for 1425 1451 300 MT=812-815, from the TNG calculation since these levels 1425 1451 301 were not included in ENDF/B-V. 1425 1451 302 MT=849 (n,a) continuum: includes simple constant yields for 1425 1451 303 alphas and 25Mg residual, and energy-dependent gamma-ray 1425 1451 304 yield based on calculated gamma-ray spectra -- calculated 1425 1451 305 normalized distributions are given for each product. 1425 1451 306 1425 1451 307 MF=12 PHOTON PRODUCTION MULTIPLICITIES 1425 1451 308 MT=51-67 Branching ratios for the levels are given. These 1425 1451 309 ratios were used in the TNG calculation (i.e., the 1425 1451 310 continuum and discrete gammas are separated). 1425 1451 311 MT=102 (n,g) capture spectra based on thermal measurements of 1425 1451 312 Raman et al. [Ra92]. Yields are given for all observed 1425 1451 313 gamma rays. The thermal results are used from 1.e-5 eV to 1425 1451 314 20 MeV. Some small renormalizations were used on large 1425 1451 315 yields to ensure energy balance. 1425 1451 316 MT=601-613 Branching ratios for the levels are given. These 1425 1451 317 ratios were used in the TNG calculation (i.e., the 1425 1451 318 continuum and discrete gammas are separated). 1425 1451 319 MT=801-815 Branching ratios for the levels are given. These 1425 1451 320 ratios were used in the TNG calculation (i.e., the 1425 1451 321 continuum and discrete gammas are separated). 1425 1451 322 1425 1451 323 MF=14 PHOTON ANGULAR DISTRIBUTIONS 1425 1451 324 MT=51-67,102,601-613,801-815 All gamma ray angular 1425 1451 325 distributions assumed to be isotropic. 1425 1451 326 1425 1451 327 MF=33 COVARIANCES OF NEUTRON CROSS SECTIONS 1425 1451 328 Uncertainty files are given for all FILE 3 reactions, using 1425 1451 329 the methodology described in Hetrick et al. [He91], and 1425 1451 330 used for ORNL ENDF/B-VI evaluations for isotopes of Cr, Fe, 1425 1451 331 Ni, Cu, and Pb. LB=0,1,8 sub-subsections are utilized. 1425 1451 332 1425 1451 333 ***************************************************************** 1425 1451 334 1425 1451 335 REFERENCES 1425 1451 336 1425 1451 337 [Ab93] W. Abfalterer, R.W. Finlay, S.M. Grimes, and V. Mishra, 1425 1451 338 Phys. Rev. C47, 1033 (1993) 1425 1451 339 [Al83] R. Alarcon and J. Rapaport, Nucl.Phys. A458, 502 (1986) 1425 1451 340 [Be69] F.D. Becchetti, Jr., and G.W. Greenlees, Phys. Rev. 1425 1451 341 182, 1190 (1969) 1425 1451 342 [Be71] F.D. Becchetti, Jr., and G.W. Greenlees in 1425 1451 343 "Polarization Phenomena in Nuclear Reactions," (Ed: H.H. 1425 1451 344 Barschall and W. Haeberli, The University of Wisconsin Press, 1425 1451 345 1971) p.682 1425 1451 346 [Ch93] M.B. Chadwick and P.G. Young, Phys.Rev. C 47, 2255 (1993) 1425 1451 347 [Ch96] M.B. Chadwick, P.G. Young, R.E. MacFarlane, and A.J. 1425 1451 348 Koning, "High-Energy Nuclear Data Libraries for Accelerator- 1425 1451 349 Driven Technologies: Calculational Method for Heavy Recoils," 1425 1451 350 Proc. of 2nd Int. Conf. on Accelerator Driven Transmutation 1425 1451 351 Technology and Applications, Kalmar, Sweden, 3-7 June 1996 1425 1451 352 [Ch97] M.B. Chadwick and P.G. Young, "GNASH Calculations of 1425 1451 353 n,p + Si isotopes and Benchmarking of Results" in APT PROGRESS 1425 1451 354 REPORT: 1 June - 1 July 1997, internal Los Alamos National 1425 1451 355 Laboratory memo T-2-97/MS-43, 7 July 1997 from R.E. MacFarlane 1425 1451 356 to L. Waters 1425 1451 357 [Ch99] M.B. Chadwick, P.G. Young, G.M. Hale, et al., Los Alamos 1425 1451 358 National Laboratory report, LA-UR-99-1222 (1999) 1425 1451 359 [Co67] J.L. Cook, H. Ferguson, and A.R. DeL Musgrove, Aust.J. 1425 1451 360 Phys. 20, 477 (1967) 1425 1451 361 [Fi93] R.W. Finlay, W.P. Abfalterer, G. Fink, et al., Phys.Rev. C1425 1451 362 47, 237 (1993) 1425 1451 363 [Fu80] C.Y. Fu, Symp. on Neutron Cross Sections from 10 to 50 1425 1451 364 MeV, Upton, NY, May 1980, Brookhaven National Laboratory repor1425 1451 365 BNL-NCS-51425, Vol. 2 (1980) p.675 1425 1451 366 [Fu88] C.Y. Fu, Oak Ridge National Laboratory report ORNL/TM-70421425 1451 367 (1980); see also Nucl.Sci.Eng. 100, 61 (1988) 1425 1451 368 [Ha83] J.A. Harvey, W.M. Good, R.F. Carlton, et al., Phys.Rev.C 1425 1451 369 28, 24 (1983) 1425 1451 370 [Ha96a] J.A. Harvey, private communication (1996) 1425 1451 371 [Ha96b] J.A. Harvey, private communication (1996) 1425 1451 372 [He91] D.M. Hetrick, D.C. Larson, and C.Y. Fu, "Generation of 1425 1451 373 covariance files for the isotopes of Cr, Fe, Ni, Cu,and Pb in 1425 1451 374 ENDF/B-VI," Oak Ridge National Laboratory report ORNL/TM-11763 1425 1451 375 [ENDF-350] (1991) 1425 1451 376 [He97] D.M. Hetrick, D.C. Larson, N.M. Larson, et al., 1425 1451 377 "Evaluation of 28,29,30Si Neutron Induced Cross 1425 1451 378 Sections for ENDF/B-VI", Oak Ridge National Laboratory report 1425 1451 379 ORNL/TM-11825 (1997) 1425 1451 380 [Ig75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov.J. 1425 1451 381 Nucl.Phys. 21, 255 (1975); translation of Yad.Fiz. 21, 485 1425 1451 382 (1975) 1425 1451 383 [Ka77] C. Kalbach, Z.Phys.A 283, 401 (1977) 1425 1451 384 [Ka85] C. Kalbach, Los Alamos National Laboratory report 1425 1451 385 LA-10248-MS (1985) 1425 1451 386 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); see also 1425 1451 387 C. Kalbach and F. M. Mann, Phys.Rev.C 23, 112 (1981) 1425 1451 388 [Ko90] J. Kopecky and M. Uhl, Phys.Rev.C 41, 1941 (1990) 1425 1451 389 [Ku72] P.D. Kunz, "Distorted wave code DWUCK72," Univ. of 1425 1451 390 Colorado, unpublished (1972) 1425 1451 391 [La76] D.C. Larson, C.H. Johnson, J.A. Harvey, and N.W. Hill, 1425 1451 392 "Measurement of the neutron total cross section of silicon 1425 1451 393 from 5 eV to 730 keV," Oak Ridge National Laboratory report 1425 1451 394 ORNL/TM-5618 (1976) 1425 1451 395 [La96] N.M. Larson, "Updated users' guide for SAMMY: multilevel 1425 1451 396 R-matrix fits to neutron data using Bayes' equation," Oak 1425 1451 397 Ridge National Laboratory report ORNL/TM-9179 (1984); see also 1425 1451 398 ORNL/TM-9179/R1 (1985), ORNL/TM-9179/R2 (1989), and 1425 1451 399 ORNL/TM-9179/R3, (1996) 1425 1451 400 [Le97] L.C. Leal, N.M. Larson, D.C. Larson, D.M. Hetrick, 1425 1451 401 "Evaluation of 28,29,30Si up to 1.8 MeV," Nuclear Data for 1425 1451 402 Science and Technology, Int. Conf., Trieste, Italy, May 19-24, 1425 1451 403 1997 1425 1451 404 [Ma66] L. McFadden and G.R. Satchler, Nucl.Phys. 84, 177 (1966) 1425 1451 405 [Ma88] D.G. Madland, Proc. OECD/NEANDC Specialist's Mtg. on 1425 1451 406 Preequilibrium Nuclear Reactions, Semmering, Austria, Feb. 1425 1451 407 1988, NEANDC-245 'U' (1988) p.103 1425 1451 408 [Mu81] S.F. Mughabghab, M. Divadeenam, N.E. Holden, Neutron 1425 1451 409 Cross Sections, Vol. 1, Part A: Z=1-60, (Academic Press, NY, 1425 1451 410 1981) 1425 1451 411 [Pe63] C.M. Perey and F.G. Perey, Phys. Rev. 132, 755 (1963) 1425 1451 412 [Pe72] F.G. Perey, T.A. Love, W.E. Kinney, Oak Ridge National 1425 1451 413 Laboratory report ORNL-4823 [ENDF-178] (1972) 1425 1451 414 [Ra72] J. Raynal, International Atomic Energy Agency report 1425 1451 415 IAEA SMR-9/8 (1972) p.281 1425 1451 416 [Ra92] S. Raman, et al., Phys.Rev.C 46, 972 (1992) 1425 1451 417 [Sh86] K. Shibata and C.Y. Fu, Oak Ridge National Laboratory 1425 1451 418 report ORNL/TM-10093 (1986) 1425 1451 419 [Wi64] D. Wilmore and P.E. Hodgson, Nucl.Phys. 55, 673 (1964) 1425 1451 420 [Yo92] P.G. Young, E.D. Arthur, and M.B. Chadwick, report 1425 1451 421 LA-12343-MS (1992) 1425 1451 422 1425 1451 423 ************************ C O N T E N T S *********************** 1425 1451 424 ***************** Program LINEAR (VERSION 2004-1) ***************1425 1451 425 For All Data Greater than 1.0000E-10 barns in Absolute Value 1425 1451 426 Data Linearized to Within an Accuracy of .100000000 per-cent 1425 1451 427 ***************** Program RECENT (VERSION 2004-1) ***************1425 1451 428 for All Data Greater than 1.0000E-10 barns in Absolute Value 1425 1451 429 Data Linearized to within an Accuracy of .100000000 per-cent 1425 1451 430 ***************** Program SIGMA1 (VERSION 2004-1) ***************1425 1451 431 Data Doppler Broadened to 1500.00000 Kelvin 1425 1451 432 for All Data Greater than 1.0000E-10 barns in Absolute Value 1425 1451 433 Data Linearized to Within an Accuracy pf .100000000 per-cent 1425 1451 434 ***************** Program SIGMA1 (VERSION 2004-1) ***************1425 1451 435 Data Doppler Broadened to 12000000.0 Kelvin 1425 1451 436 for All Data Greater than 1.0000E-10 barns in Absolute Value 1425 1451 437 Data Linearized to Within an Accuracy pf .100000000 per-cent 1425 1451 438 ***************** Program FIXUP (Version 2004-1) ****************1425 1451 439 Corrected ZA/AWR in All Sections-----------------------------Yes 1425 1451 440 Corrected Thresholds-----------------------------------------No 1425 1451 441 Extended Cross Sections to 20 MeV----------------------------No 1425 1451 442 Allow Cross Section Deletion---------------------------------No 1425 1451 443 Allow Cross Section Reconstruction---------------------------Yes 1425 1451 444 Make All Cross Sections Non-Negative-------------------------Yes 1425 1451 445 Delete Energies Not in Ascending Order-----------------------Yes 1425 1451 446 Deleted Duplicate Points-------------------------------------Yes 1425 1451 447 Check for Ascending MAT/MF/MT Order--------------------------Yes 1425 1451 448 Check for Legal MF/MT Numbers--------------------------------Yes 1425 1451 449 Allow Creation of Missing Sections---------------------------No 1425 1451 450 Allow Insertion of Energy Points-----------------------------No 1425 1451 451 Create Uniform Energy Grid-----------------------------------No 1425 1451 452 Delete Section if Cross Section =0 at All Energies-----------Yes 1425 1451 453 **************** Program DICTIN (VERSION 2004-1) ****************1425 1451 454 1 451 726 21425 1451 455 2 151 65 11425 1451 456 3 1 5926 21425 1451 457 3 2 811 21425 1451 458 3 3 5195 21425 1451 459 3 4 1941 11425 1451 460 3 5 108 21425 1451 461 3 16 138 11425 1451 462 3 22 151 11425 1451 463 3 28 168 11425 1451 464 3 51 580 11425 1451 465 3 52 167 11425 1451 466 3 53 161 11425 1451 467 3 54 166 11425 1451 468 3 55 157 11425 1451 469 3 56 168 11425 1451 470 3 57 164 11425 1451 471 3 58 161 11425 1451 472 3 59 161 11425 1451 473 3 60 161 11425 1451 474 3 61 159 11425 1451 475 3 62 157 11425 1451 476 3 63 154 11425 1451 477 3 64 159 11425 1451 478 3 65 141 11425 1451 479 3 66 161 11425 1451 480 3 67 154 11425 1451 481 3 91 171 11425 1451 482 3 102 893 11425 1451 483 3 103 1176 11425 1451 484 3 104 154 11425 1451 485 3 107 1158 11425 1451 486 3 600 258 11425 1451 487 3 601 250 11425 1451 488 3 602 208 11425 1451 489 3 603 229 11425 1451 490 3 604 211 11425 1451 491 3 605 216 11425 1451 492 3 606 207 11425 1451 493 3 607 188 11425 1451 494 3 608 182 11425 1451 495 3 609 180 11425 1451 496 3 610 179 11425 1451 497 3 611 162 11425 1451 498 3 612 163 11425 1451 499 3 613 162 11425 1451 500 3 649 155 11425 1451 501 3 800 298 11425 1451 502 3 801 232 11425 1451 503 3 802 196 11425 1451 504 3 803 151 11425 1451 505 3 804 142 11425 1451 506 3 805 139 11425 1451 507 3 806 128 11425 1451 508 3 807 125 11425 1451 509 3 808 126 11425 1451 510 3 809 122 11425 1451 511 3 810 115 11425 1451 512 3 811 115 11425 1451 513 3 812 111 11425 1451 514 3 813 103 11425 1451 515 3 814 109 11425 1451 516 3 815 111 11425 1451 517 3 849 145 11425 1451 518 4 2 1524 21425 1451 519 6 5 12155 21425 1451 520 6 16 70 11425 1451 521 6 22 333 11425 1451 522 6 28 306 11425 1451 523 6 51 62 11425 1451 524 6 52 53 11425 1451 525 6 53 69 11425 1451 526 6 54 47 11425 1451 527 6 55 53 11425 1451 528 6 56 47 11425 1451 529 6 57 47 11425 1451 530 6 58 45 11425 1451 531 6 59 45 11425 1451 532 6 60 41 11425 1451 533 6 61 41 11425 1451 534 6 62 34 11425 1451 535 6 63 36 11425 1451 536 6 64 31 11425 1451 537 6 65 34 11425 1451 538 6 66 35 11425 1451 539 6 67 31 11425 1451 540 6 91 603 11425 1451 541 6 600 73 11425 1451 542 6 601 73 11425 1451 543 6 602 61 11425 1451 544 6 603 61 11425 1451 545 6 604 57 11425 1451 546 6 605 55 11425 1451 547 6 606 55 11425 1451 548 6 607 53 11425 1451 549 6 608 49 11425 1451 550 6 609 49 11425 1451 551 6 610 49 11425 1451 552 6 611 49 11425 1451 553 6 612 47 11425 1451 554 6 613 45 11425 1451 555 6 649 525 11425 1451 556 6 800 69 11425 1451 557 6 801 63 11425 1451 558 6 802 57 11425 1451 559 6 803 53 11425 1451 560 6 804 49 11425 1451 561 6 805 45 11425 1451 562 6 806 45 11425 1451 563 6 807 45 11425 1451 564 6 808 39 11425 1451 565 6 809 39 11425 1451 566 6 810 37 11425 1451 567 6 811 37 11425 1451 568 6 812 40 11425 1451 569 6 813 41 11425 1451 570 6 814 43 11425 1451 571 6 815 40 11425 1451 572 6 849 463 11425 1451 573 12 51 3 11425 1451 574 12 52 3 11425 1451 575 12 53 3 11425 1451 576 12 54 3 11425 1451 577 12 55 3 11425 1451 578 12 56 3 11425 1451 579 12 57 3 11425 1451 580 12 58 3 11425 1451 581 12 59 3 11425 1451 582 12 60 3 11425 1451 583 12 61 4 11425 1451 584 12 62 4 11425 1451 585 12 63 3 11425 1451 586 12 64 3 11425 1451 587 12 65 3 11425 1451 588 12 66 3 11425 1451 589 12 67 3 11425 1451 590 12 102 142 11425 1451 591 12 601 3 11425 1451 592 12 602 3 11425 1451 593 12 603 3 11425 1451 594 12 604 3 11425 1451 595 12 605 3 11425 1451 596 12 606 3 11425 1451 597 12 607 3 11425 1451 598 12 608 3 11425 1451 599 12 609 3 11425 1451 600 12 610 4 11425 1451 601 12 611 3 11425 1451 602 12 612 3 11425 1451 603 12 613 3 11425 1451 604 12 801 3 11425 1451 605 12 802 3 11425 1451 606 12 803 3 11425 1451 607 12 804 3 11425 1451 608 12 805 3 11425 1451 609 12 806 3 11425 1451 610 12 807 3 11425 1451 611 12 808 3 11425 1451 612 12 809 3 11425 1451 613 12 810 4 11425 1451 614 12 811 3 11425 1451 615 12 812 3 11425 1451 616 12 813 4 11425 1451 617 12 814 3 11425 1451 618 12 815 3 11425 1451 619 14 51 1 11425 1451 620 14 52 1 11425 1451 621 14 53 1 11425 1451 622 14 54 1 11425 1451 623 14 55 1 11425 1451 624 14 56 1 11425 1451 625 14 57 1 11425 1451 626 14 58 1 11425 1451 627 14 59 1 11425 1451 628 14 60 1 11425 1451 629 14 61 1 11425 1451 630 14 62 1 11425 1451 631 14 63 1 11425 1451 632 14 64 1 11425 1451 633 14 65 1 11425 1451 634 14 66 1 11425 1451 635 14 67 1 11425 1451 636 14 102 1 11425 1451 637 14 601 1 11425 1451 638 14 602 1 11425 1451 639 14 603 1 11425 1451 640 14 604 1 11425 1451 641 14 605 1 11425 1451 642 14 606 1 11425 1451 643 14 607 1 11425 1451 644 14 608 1 11425 1451 645 14 609 1 11425 1451 646 14 610 1 11425 1451 647 14 611 1 11425 1451 648 14 612 1 11425 1451 649 14 613 1 11425 1451 650 14 801 1 11425 1451 651 14 802 1 11425 1451 652 14 803 1 11425 1451 653 14 804 1 11425 1451 654 14 805 1 11425 1451 655 14 806 1 11425 1451 656 14 807 1 11425 1451 657 14 808 1 11425 1451 658 14 809 1 11425 1451 659 14 810 1 11425 1451 660 14 811 1 11425 1451 661 14 812 1 11425 1451 662 14 813 1 11425 1451 663 14 814 1 11425 1451 664 14 815 1 11425 1451 665 33 1 24 11425 1451 666 33 2 14 11425 1451 667 33 3 16 11425 1451 668 33 4 9 11425 1451 669 33 16 8 11425 1451 670 33 22 14 11425 1451 671 33 28 14 11425 1451 672 33 51 20 11425 1451 673 33 52 16 11425 1451 674 33 53 14 11425 1451 675 33 54 14 11425 1451 676 33 55 14 11425 1451 677 33 56 14 11425 1451 678 33 57 14 11425 1451 679 33 58 14 11425 1451 680 33 59 14 11425 1451 681 33 60 14 11425 1451 682 33 61 14 11425 1451 683 33 62 14 11425 1451 684 33 63 14 11425 1451 685 33 64 14 11425 1451 686 33 65 14 11425 1451 687 33 66 14 11425 1451 688 33 67 14 11425 1451 689 33 91 14 11425 1451 690 33 102 19 11425 1451 691 33 103 16 11425 1451 692 33 104 14 11425 1451 693 33 107 17 11425 1451 694 33 600 16 11425 1451 695 33 601 16 11425 1451 696 33 602 16 11425 1451 697 33 603 16 11425 1451 698 33 604 16 11425 1451 699 33 605 16 11425 1451 700 33 606 16 11425 1451 701 33 607 14 11425 1451 702 33 608 14 11425 1451 703 33 609 14 11425 1451 704 33 610 14 11425 1451 705 33 611 14 11425 1451 706 33 612 14 11425 1451 707 33 613 14 11425 1451 708 33 649 14 11425 1451 709 33 800 17 11425 1451 710 33 801 17 11425 1451 711 33 802 15 11425 1451 712 33 803 15 11425 1451 713 33 804 15 11425 1451 714 33 805 15 11425 1451 715 33 806 15 11425 1451 716 33 807 15 11425 1451 717 33 808 15 11425 1451 718 33 809 15 11425 1451 719 33 810 15 11425 1451 720 33 811 15 11425 1451 721 33 812 15 11425 1451 722 33 813 15 11425 1451 723 33 814 15 11425 1451 724 33 815 15 11425 1451 725 33 849 15 11425 1451 726 1425 1 0 727 1425 0 0 728 1.40280E+4 2.77370E+1 0 0 1 01425 2151 729 1.40280E+4 1.00000E+0 0 0 1 01425 2151 730 1.00000E-5 1.75000E+6 1 3 0 11425 2151 731 0.0 4.13640E-1 1 0 3 31425 2151 732 2.77370E+1 4.13640E-1 0 0 96 161425 2151 733 -3622100.00 .500000000 3936200.00 145.360000 0.0 0.0 1425 2151 734 -873730.000 .500000000 .101510000 1.02530000 0.0 0.0 1425 2151 735 -365290.000 .500000000 .030406000 1.00000000 0.0 0.0 1425 2151 736 -63159.0000 .500000000 .046894000 1.00000000 0.0 0.0 1425 2151 737 -48801.0000 .500000000 .009249600 1.00000000 0.0 0.0 1425 2151 738 55677.0000 .500000000 653.310000 1.58030000 0.0 0.0 1425 2151 739 181620.000 .500000000 34894.0000 5.60000000 0.0 0.0 1425 2151 740 301310.000 .500000000 2.35480000 3.60000000 0.0 0.0 1425 2151 741 590290.000 .500000000 523.660000 3.60000000 0.0 0.0 1425 2151 742 1085200.00 .500000000 72.7940000 3.60000000 0.0 0.0 1425 2151 743 1162700.00 .500000000 3013.60000 3.80000000 0.0 0.0 1425 2151 744 1201200.00 .500000000 4601.20000 3.60000000 0.0 0.0 1425 2151 745 1256400.00 .500000000 17383.0000 3.60000000 0.0 0.0 1425 2151 746 2248700.00 .500000000 444760.000 3.60000000 0.0 0.0 1425 2151 747 3007300.00 .500000000 289.960000 3.60000000 0.0 0.0 1425 2151 748 3067800.00 .500000000 422.290000 3.60000000 0.0 0.0 1425 2151 749 2.77370E+1 4.94370E-1 1 0 102 171425 2151 750 67733.0000 1.50000000 2.65890000 2.50000000 0.0 0.0 1425 2151 751 86797.0000 1.50000000 .726180000 2.50000000 0.0 0.0 1425 2151 752 399680.000 1.50000000 .813610000 .660000000 0.0 0.0 1425 2151 753 532660.000 1.50000000 532.810000 2.50000000 0.0 0.0 1425 2151 754 565580.000 1.50000000 10953.0000 2.90000000 0.0 0.0 1425 2151 755 587170.000 .500000000 199.160000 8.80000000 0.0 0.0 1425 2151 756 714040.000 1.50000000 1.21650000 2.50000000 0.0 0.0 1425 2151 757 812490.000 1.50000000 30100.0000 9.70000000 0.0 0.0 1425 2151 758 910040.000 1.50000000 3673.30000 1.13000000 0.0 0.0 1425 2151 759 962230.000 .500000000 76614.0000 16.0000000 0.0 0.0 1425 2151 760 1199500.00 .500000000 14914.0000 7.60000000 0.0 0.0 1425 2151 761 1408300.00 1.50000000 5198.30000 2.70000000 0.0 0.0 1425 2151 762 1482400.00 .500000000 .886940000 8.80000000 0.0 0.0 1425 2151 763 1592800.00 .500000000 11199.0000 8.80000000 0.0 0.0 1425 2151 764 1658600.00 .500000000 1555.30000 8.80000000 0.0 0.0 1425 2151 765 1805700.00 1.50000000 1299.10000 2.50000000 0.0 0.0 1425 2151 766 1852400.00 1.50000000 70707.0000 2.50000000 0.0 0.0 1425 2151 767 2.77370E+1 4.13640E-1 2 0 150 251425 2151 768 31740.0000 2.50000000 .015667000 1.00000000 0.0 0.0 1425 2151 769 70800.0000 2.50000000 .029617000 1.00000000 0.0 0.0 1425 2151 770 298700.000 2.50000000 9.88600000 1.00000000 0.0 0.0 1425 2151 771 354590.000 2.50000000 14.4600000 1.00000000 0.0 0.0 1425 2151 772 602470.000 1.50000000 50.4910000 3.40000000 0.0 0.0 1425 2151 773 771710.000 2.50000000 53.1390000 1.00000000 0.0 0.0 1425 2151 774 845230.000 1.50000000 397.910000 2.00000000 0.0 0.0 1425 2151 775 872310.000 2.50000000 32.1400000 1.30000000 0.0 0.0 1425 2151 776 1017800.00 2.50000000 76.1920000 1.00000000 0.0 0.0 1425 2151 777 1042900.00 2.50000000 933.700000 1.00000000 0.0 0.0 1425 2151 778 1148100.00 2.50000000 3.14690000 1.00000000 0.0 0.0 1425 2151 779 1264400.00 2.50000000 843.640000 1.00000000 0.0 0.0 1425 2151 780 1379900.00 1.50000000 65.2990000 2.40000000 0.0 0.0 1425 2151 781 1479900.00 1.50000000 3502.50000 1.65000000 0.0 0.0 1425 2151 782 1512300.00 2.50000000 91.4930000 1.00000000 0.0 0.0 1425 2151 783 1528700.00 1.50000000 2922.50000 2.40000000 0.0 0.0 1425 2151 784 1580600.00 1.50000000 1495.50000 2.40000000 0.0 0.0 1425 2151 785 1597200.00 1.50000000 4017.20000 2.40000000 0.0 0.0 1425 2151 786 1639600.00 2.50000000 15293.0000 1.00000000 0.0 0.0 1425 2151 787 1651100.00 2.50000000 21555.0000 1.00000000 0.0 0.0 1425 2151 788 1665000.00 1.50000000 215.900000 2.40000000 0.0 0.0 1425 2151 789 1785000.00 1.50000000 192.940000 2.40000000 0.0 0.0 1425 2151 790 1850700.00 2.50000000 35515.0000 1.00000000 0.0 0.0 1425 2151 791 1923700.00 2.50000000 1017.10000 1.00000000 0.0 0.0 1425 2151 792 1968900.00 2.50000000 5734.10000 1.00000000 0.0 0.0 1425 2151 793 1425 2 0 794 1425 0 0 795 1.40280E+4 2.77370E+1 0 0 0 01425 3 1 796 0.0 0.0 0 0 1 177671425 3 1 797 17767 2 1425 3 1 798 1.00000E-5 4194.88804 1.08624E-5 4024.92214 1.17903E-5 3863.291191425 3 1 799 1.28071E-5 3706.76443 1.39012E-5 3557.90638 1.51000E-5 3413.751661425 3 1 800 1.63900E-5 3276.66157 1.78034E-5 3143.90152 1.93243E-5 3017.648581425 3 1 801 2.09909E-5 2895.37548 2.27840E-5 2779.11000 2.47489E-5 2666.505521425 3 1 802 2.68630E-5 2559.42740 2.91798E-5 2455.72255 3.16724E-5 2357.110241425 3 1 803 3.44039E-5 2261.60438 3.73428E-5 2170.78584 4.05633E-5 2082.830171425 3 1 804 4.40284E-5 1999.18999 4.78255E-5 1918.18622 5.19109E-5 1841.158431425 3 1 805 5.63878E-5 1766.55834 6.12047E-5 1695.61893 6.64831E-5 1626.915401425 3 1 806 7.21623E-5 1561.58404 7.83857E-5 1498.31189 8.50817E-5 1438.144331425 3 1 807 9.24194E-5 1379.87303 .000100314 1324.46228 .000108965 1270.800131425 3 1 808 .000118274 1219.76656 .000128474 1170.34314 .000139449 1123.346841425 3 1 809 .000151475 1077.83044 .000164414 1034.54890 .000178594 992.6304591425 3 1 810 .000193850 952.770271 .000210568 914.165791 .000228555 877.4560891425 3 1 811 .000248267 841.902497 .000269474 808.095355 .000292714 775.3534411425 3 1 812 .000317719 744.217463 .000345120 714.063119 .000374601 685.3890081425 3 1 813 .000406908 657.618145 .000441667 631.210846 .000479757 605.6357741425 3 1 814 .000520740 581.315385 .000565650 557.761602 .000613970 535.3640871425 3 1 815 .000666920 513.672155 .000723890 493.045178 .000786320 473.0681291425 3 1 816 .000853490 454.071530 .000927097 435.673657 .001006293 418.1787091425 3 1 817 .001093078 401.235126 .001186453 385.123188 .001288775 369.5189531425 3 1 818 .001398867 354.680686 .001519507 340.310068 .001649310 326.6446561425 3 1 819 .001791549 313.409996 .001944590 300.824877 .002112295 288.6364201425 3 1 820 .002292735 277.046162 .002490465 265.821213 .002703210 255.1471771425 3 1 821 .002936340 244.809569 .003187173 234.979338 .003462041 225.4589421425 3 1 822 .003757782 216.405810 .004081860 207.638021 .004430548 199.3005731425 3 1 823 .004812647 191.225902 .005223761 183.547569 .005674268 176.1112461425 3 1 824 .006158986 169.039916 .006690148 162.191477 .007261646 155.6791811425 3 1 825 .007887904 149.372157 .008561718 143.374714 .009300097 137.5663191425 3 1 826 .010094547 132.043028 .010965119 126.693851 .011901801 121.6072411425 3 1 827 .012928235 116.680984 .014032614 111.996547 .015242812 107.4597911425 3 1 828 .016544912 103.145737 .017971775 98.9676979 .019506993 94.99476021425 3 1 829 .021189312 91.1470899 .022999384 87.4883129 .024798654 84.25602301425 3 1 830 .025300000 83.4174026 .027481919 80.0390128 .029829529 76.82649341425 3 1 831 .032402083 73.7152872 .035169992 70.7568438 .038203117 67.89171261425 3 1 832 .041466574 65.1672719 .045042727 62.5287752 .048890449 60.01985291425 3 1 833 .053106852 57.5900886 .057643442 55.2796621 .062614718 53.04214541425 3 1 834 .067963507 50.9145380 .073824805 48.8540866 .080131202 46.89486321425 3 1 835 .087041865 44.9974974 .094477313 43.1933648 .102625211 41.44621131425 3 1 836 .111391849 39.7849284 .120998487 38.1761328 .131334640 36.64642801425 3 1 837 .142661181 35.1650748 .154847845 33.7565690 .168202208 32.39260691425 3 1 838 .182570683 31.0957436 .198315915 29.8399186 .215256819 28.64589831425 3 1 839 .233820963 27.4896893 .253794844 26.3904107 .275682578 25.32597271425 3 1 840 .299232438 24.3139770 .325038795 23.3340876 .352804851 22.40250831425 3 1 841 .383231391 21.5005189 .415968481 20.6430348 .451842369 19.81282481425 3 1 842 .490440471 19.0236173 .532736961 18.2595533 .578245388 17.53326721425 3 1 843 .628114335 16.8301643 .681770263 16.1618710 .740567386 15.51495771425 3 1 844 .803829483 14.9001217 .873153218 14.3050075 .947741303 13.73945571425 3 1 845 1.02947626 13.1921013 1.11741806 12.6719948 1.21378625 12.16868421425 3 1 846 1.31747251 11.6904918 1.43109376 11.2278076 1.55334326 10.78828171425 3 1 847 1.68730644 10.3630812 1.83144261 9.95923610 1.98938959 9.568630041425 3 1 848 2.15933086 9.19772080 2.34555553 8.83905351 2.54592185 8.498557461425 3 1 849 2.76548683 8.16938849 3.00172529 7.85698761 3.26059961 7.555074721425 3 1 850 3.53913249 7.26863956 3.84435379 6.99192312 4.17275319 6.729497751425 3 1 851 4.53261911 6.47608607 4.91981276 6.23587414 5.34410647 6.004029911425 3 1 852 5.80062047 5.78438164 6.30087666 5.57250922 6.83912163 5.371909181425 3 1 853 7.42894008 5.17854257 8.06354853 4.99559814 8.75896381 4.819389701425 3 1 854 9.50718798 4.65282007 10.3271054 4.49252969 11.2092862 4.344479691425 3 1 855 11.5255730 4.29141358 12.1759957 4.19976237 12.8631236 4.102965921425 3 1 856 13.2161158 4.06124637 14.3558979 3.92657689 15.5822336 3.805187521425 3 1 857 16.0219097 3.76167787 16.9260741 3.68679239 17.8812633 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