20-Ca- 46 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20046.0000 45.5589300 0 0 0 12043 1451 1 0.0 0.0 0 0 0 62043 1451 2 1.00000000 200000000. 1 0 10 72043 1451 3 120000000. 0.0 1 0 554 1282043 1451 4 20-Ca- 46 NRG EVAL-OCT04 A.J. Koning 2043 1451 5 DIST-DEC06 REV1-MAY05 2043 1451 6 ----ENDF/B-VII MATERIAL 2043 REVISION 1 2043 1451 7 -----INCIDENT NEUTRON DATA 2043 1451 8 ------ENDF-6 FORMAT 2043 1451 9 ***************************** ENDF/B-VII *************************2043 1451 10 ** **2043 1451 11 ** Original data taken from: JEFF-3.1 **2043 1451 12 ** **2043 1451 13 ** JEFF-3.1 has no resoance parameters except scattering radius **2043 1451 14 ** and reports zero cross sections for total, and elastic **2043 1451 15 ** below 1 keV. This unphysical feature (note that reported **2043 1451 16 ** capture below 1 keV is different from 0) was fixed by **2043 1451 17 ** importing JENDL-3.3 cross sections (MF=3) for total, elastic **2043 1451 18 ** and capture and merging them with the original JEFF-3.1 **2043 1451 19 ** evaluation. **2043 1451 20 ** M. Herman (BNL), November 2006 **2043 1451 21 ******************************************************************2043 1451 22 ***************************** JEFF-3.1 *************************2043 1451 23 ** **2043 1451 24 ** Original data taken from: New evaluation **2043 1451 25 ** **2043 1451 26 ******************************************************************2043 1451 27 2043 1451 28 NRG-2004: n + Ca-46 2043 1451 29 2043 1451 30 Author: A.J. Koning, NRG Petten 2043 1451 31 2043 1451 32 ************** G E N E R A L I N F O R M A T I O N *************2043 1451 33 2043 1451 34 This evaluated data file is based primarily on a theoretical 2043 1451 35 analysis with the nuclear model code TALYS [kon04], version 0.56. 2043 1451 36 The nuclear model parameters of TALYS have been adjusted to 2043 1451 37 reproduce the existing experimental data. The resulting data file 2043 1451 38 provides a complete representation of nuclear data needed for 2043 1451 39 transport, damage, heating, radioactivity, and shielding 2043 1451 40 applications over the incident neutron energy range from 2043 1451 41 1.0E-11 to 200 MeV. 2043 1451 42 2043 1451 43 This file is part of a larger collection of isotopic evaluations, 2043 1451 44 all created by running TALYS with input parameters that do not or 2043 1451 45 slightly deviate from the default values. The mutual quality of 2043 1451 46 these isotopic evaluations is thus relatively consistent. 2043 1451 47 The same set of nuclear models is used and, equally important, 2043 1451 48 the same ENDF-6 formatting procedures for each isotope. We have 2043 1451 49 intended to make this evaluation complete in its description of 2043 1451 50 reaction channels, and use a compact method to store the data. 2043 1451 51 2043 1451 52 For certain reactions and energy ranges TALYS may not be used. 2043 1451 53 This is the case when TALYS is not appropriate, such as for the 2043 1451 54 description of resonances, or when the directly available 2043 1451 55 experimental data is of better quality, as for e.g. low-energy 2043 1451 56 total cross sections. In these cases, we have adopted the best 2043 1451 57 possible data from an existing library, or directly from unfiled 2043 1451 58 experimental data. All transport data for particles, photons and 2043 1451 59 residual nuclides are filed using a combination of MF1,2,3,4 and 2043 1451 60 MF6. This includes cross sections, angular distributions, 2043 1451 61 double-differential spectra, discrete and continuum photon 2043 1451 62 production cross sections, and residual production (activation) 2043 1451 63 cross sections. Moreover, isomeric production data are stored in 2043 1451 64 MF8 and MF10. This evaluation can thus be used as both transport 2043 1451 65 and activation library. The data file has been created 2043 1451 66 automatically using the ENDF-6 format generator TEFAL. 2043 1451 67 2043 1451 68 ##### ORIGIN 2043 1451 69 2043 1451 70 Data < 200 MeV : New evaluation NRG Petten 2043 1451 71 2043 1451 72 All data : Produced with TALYS code 2043 1451 73 2043 1451 74 *************************** T H E O R Y **************************2043 1451 75 2043 1451 76 TALYS is a computer code system for the prediction and analysis 2043 1451 77 of nuclear reactions. TALYS simulates reactions that involve 2043 1451 78 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2043 1451 79 alpha-particles, in the 1 keV - 200 MeV energy range and for 2043 1451 80 target nuclides of mass 12 and heavier. This is achieved by 2043 1451 81 implementing a suite of nuclear reaction models into a single 2043 1451 82 code system. It enables to evaluate nuclear reactions from 2043 1451 83 the unresolved resonance region up to intermediate energies. This 2043 1451 84 evaluation is based on a theoretical analysis that utilizes the 2043 1451 85 optical model, compound nucleus statistical theory, direct 2043 1451 86 reactions and pre-equilibrium processes, in combination with 2043 1451 87 databases and models for nuclear structure. For Ca-46, the 2043 1451 88 following output of TALYS is stored in this data file: 2043 1451 89 2043 1451 90 - Total, elastic and non-elastic cross sections 2043 1451 91 - Elastic scattering angular distributions 2043 1451 92 - Inelastic cross sections to discrete states 2043 1451 93 - Inelastic scattering angular distributions to discrete states 2043 1451 94 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2043 1451 95 - Exclusive channel energy spectra 2043 1451 96 - Exclusive channel double-differential spectra 2043 1451 97 - Exclusive gamma production for discrete states and continuum 2043 1451 98 - Isomeric and ground state cross sections 2043 1451 99 - Residual production cross sections 2043 1451 100 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2043 1451 101 - Total particle energy spectra 2043 1451 102 - Total particle double-differential spectra 2043 1451 103 2043 1451 104 Here follows a short description of the used nuclear models: 2043 1451 105 2043 1451 106 ##### OPTICAL MODEL 2043 1451 107 2043 1451 108 All optical model calculations are performed by ECIS-97 [ray94], 2043 1451 109 in TALYS used as a subroutine. The default optical model 2043 1451 110 potentials (OMP) used are the local and global parameterizations 2043 1451 111 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2043 1451 112 for neutrons and protons which in principle are valid over the 2043 1451 113 1 keV - 200 MeV energy range, though the low energy boundary of 2043 1451 114 validity may differ from nucleus to nucleus (e.g. for the total 2043 1451 115 cross sections, experimental data are included directly in the 2043 1451 116 file for energies below that boundary). Solving the Schroedinger 2043 1451 117 equation with this OMP yields the total cross section, the 2043 1451 118 shape-elastic cross section, the shape-elastic angular 2043 1451 119 distribution, the wave functions for the direct reaction cross 2043 1451 120 sections (see below), the transmission coefficients for the 2043 1451 121 compound nucleus model (see below) and the reaction cross 2043 1451 122 sections for the pre-equilibrium model (see below). 2043 1451 123 For neutrons and protons, the used parameterization is given in 2043 1451 124 Eq. (7) of [kon03]. 2043 1451 125 To calculate the transmission coefficients and reaction cross 2043 1451 126 sections for deuterons, tritons, helions and alpha particles, we 2043 1451 127 use OMPs that are directly derived from our nucleon potentials 2043 1451 128 using Watanabe's folding approach [mad88]. 2043 1451 129 2043 1451 130 ##### DIRECT REACTIONS 2043 1451 131 2043 1451 132 The built-in ECIS-97 is used for coupled-channels or DWBA 2043 1451 133 calculations for rotational or vibrational (or a combination of 2043 1451 134 these) nuclides. For Ca-46, DWBA was used to compute the direct 2043 1451 135 cross sections to several low-lying discrete levels: 2043 1451 136 2043 1451 137 Level Energy Spin/Parity Deformation parameter beta_l 2043 1451 138 2043 1451 139 1 1.346000 2.0+ 0.153 2043 1451 140 6 3.614000 3.0- 0.204 2043 1451 141 + a few additional states with small deformation parameters. 2043 1451 142 2043 1451 143 In addition, a macroscopic, phenomenological model to describe 2043 1451 144 giant resonances in the inelastic channel is used. For each 2043 1451 145 multipolarity an energy weighted sum rule applies and a DWBA 2043 1451 146 calculation with ECIS-97 is performed for each giant resonance 2043 1451 147 state. The cross section is then spread over the continuum with a 2043 1451 148 Gaussian distribution. 2043 1451 149 2043 1451 150 ##### COMPOUND NUCLEUS 2043 1451 151 2043 1451 152 For binary compound nucleus reactions we use the model of 2043 1451 153 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2043 1451 154 corrected for width fluctuations. The transmission coefficients 2043 1451 155 have been generated with the aforementioned OMPs and the full 2043 1451 156 j,l-dependence of the transmission coefficients in the 2043 1451 157 Hauser-Feshbach model is used. For each nucleus that can be 2043 1451 158 reached through a binary reaction, several discrete levels and a 2043 1451 159 continuum described by level densities are included 2043 1451 160 simultaneously as competing channels. 2043 1451 161 2043 1451 162 The compound nucleus angular distributions are calculated with 2043 1451 163 the Blatt-Biedenharn formalism [bla52], leading to compound 2043 1451 164 nucleus Legendre coefficients that are added to their direct 2043 1451 165 counterparts. For multiple compound emission, i.e. emitted 2043 1451 166 particles after the binary emission, we use the Hauser-Feshbach 2043 1451 167 model. Again, for each residual nucleus several discrete states 2043 1451 168 are included as well as a continuum described by level densities. 2043 1451 169 Multiple compound emission is continued until all reaction 2043 1451 170 channels are closed and the population distribution of all 2043 1451 171 residual nuclides is depleted, through gamma decay, until they 2043 1451 172 end up in the ground state or in an isomer. 2043 1451 173 2043 1451 174 For the level density, we take the composite formula proposed by 2043 1451 175 Gilbert and Cameron [gil65], consisting of a constant temperature 2043 1451 176 law at low energies and a Fermi gas expression at high energies. 2043 1451 177 For the level density parameter a we use the energy dependent 2043 1451 178 expression proposed by Ignatyuk [ign75] to take into account the 2043 1451 179 damping of shell effects at high excitation energy. We have 2043 1451 180 obtained the parameters for the Ignatyuk formula from a 2043 1451 181 simultaneous fit to all experimental D_0 values as present in the 2043 1451 182 RIPL library. If necessary, we adjust individual parameters to 2043 1451 183 obtain a better fit to experiment. 2043 1451 184 2043 1451 185 Gamma-ray transmission coefficients are generated with the 2043 1451 186 Kopecky-Uhl generalized Lorentzian for strength 2043 1451 187 functions [kop90], with giant dipole resonance parameters taken 2043 1451 188 from the RIPL library [rip98], and normalized with experimental 2043 1451 189 radiative widths [gar84]. 2043 1451 190 2043 1451 191 ##### PRE-EQUILIBRIUM REACTIONS 2043 1451 192 2043 1451 193 For pre-equilibrium reactions, which become important for 2043 1451 194 incident energies above about 10 MeV, we use the two-component 2043 1451 195 exciton model [kon04b], in which the neutron or proton types of 2043 1451 196 particles and holes are followed throughout the reaction. For 2043 1451 197 energies above 20 MeV, multiple pre-equilibrium emission up to 2043 1451 198 any order of particle emission was included in the calculations. 2043 1451 199 A parameterization for the squared matrix element is used that is 2043 1451 200 valid for the whole energy range of this evaluation. 2043 1451 201 2043 1451 202 For deuterons, tritons, helions and alpha-particles, an extra 2043 1451 203 contribution was added from the pick/up and knock-out reaction 2043 1451 204 model by Kalbach [kal01]. 2043 1451 205 2043 1451 206 For photons, the model of Akkermans and Gruppelaar [akk85] was 2043 1451 207 applied, to simulate the direct and semi-direct capture 2043 1451 208 processes. 2043 1451 209 2043 1451 210 The angular distribution systematics by Kalbach [kal88] were used 2043 1451 211 to describe the angular distributions for all continuum 2043 1451 212 particles. An isotopic distribution for photons was adopted. 2043 1451 213 2043 1451 214 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****2043 1451 215 2043 1451 216 This evaluation was performed simultaneously with other adjacent 2043 1451 217 isotopes, both for incident neutrons and protons. This enables, 2043 1451 218 when compared with a single-isotope effort, to put stronger 2043 1451 219 constraints on the produced calculated data, i.e. a globally 2043 1451 220 good comparison between TALYS and experimental data is requested 2043 1451 221 for all isotopes at the same time, while nucleus-specific input 2043 1451 222 (default or adjusted) parameters are consistently used for all 2043 1451 223 isotopes. Also, experimental data that is not available for the 2043 1451 224 isotope under study may be present, and tested, for adjacent 2043 1451 225 nuclides or for other projectiles. If these can be successfully 2043 1451 226 described by the models, a similar performance can be expected 2043 1451 227 for the present data file. 2043 1451 228 A few level density parameters for residual nuclides have been 2043 1451 229 adjusted to enforce agreement with the experimental data. The 2043 1451 230 changes in the level density parameters, a, were all kept within 2043 1451 231 10% of their default values. 2043 1451 232 2043 1451 233 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2043 1451 234 2043 1451 235 The spherical OMP was tested against experimental data for total 2043 1451 236 cross sections and elastic scattering angular distributions. 2043 1451 237 Consult [kon03] for the complete experimental database and for a 2043 1451 238 comparison of calculations and measurements over the whole energy 2043 1451 239 range for natural Ca. 2043 1451 240 2043 1451 241 ##### OTHER PARTIAL CROSS SECTIONS 2043 1451 242 2043 1451 243 - (n,gamma): 2043 1451 244 2043 1451 245 At thermal energy, the experimental value of 0.7 barn was used. 2043 1451 246 2043 1451 247 No other experimental data available. 2043 1451 248 2043 1451 249 ##### PARTICLE SPECTRA 2043 1451 250 2043 1451 251 For Ca-46, an adjustment of the default matrix element 2043 1451 252 parameterization of [kon04b] for pre-equilibrium reactions of a 2043 1451 253 factor of 0.7 was needed, to describe the emission spectra for 2043 1451 254 nuclides in this mass range. 2043 1451 255 For high-energy neutron and charged particle spectra, the average 2043 1451 256 quality is also determined by the pre-equilibrium model and its 2043 1451 257 global parameterization. No high-energy experiments are 2043 1451 258 available, though neutron induced reaction spectra between 28 and 2043 1451 259 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2043 1451 260 to better constrain the results, through the aforementioned 2043 1451 261 matrix element, for particle yields and double-differential 2043 1451 262 spectra for all ejectiles up to alpha particles. 2043 1451 263 2043 1451 264 ***************** F I L E I N F O R M A T I O N ****************2043 1451 265 2043 1451 266 ##### MF1: GENERAL INFORMATION 2043 1451 267 2043 1451 268 - MT451 : Descriptive data and directory 2043 1451 269 2043 1451 270 This text and the full directory of used MF/MT sections. 2043 1451 271 2043 1451 272 ##### MF2: RESONANCE PARAMETERS 2043 1451 273 2043 1451 274 - MT151 : Resonance parameters 2043 1451 275 2043 1451 276 No resonance parameters available. 2043 1451 277 2043 1451 278 ##### MF3: REACTION CROSS SECTIONS 2043 1451 279 2043 1451 280 Unless stated otherwise, all the data present in the following 2043 1451 281 MT-sections have been calculated with TALYS. If the maximal cross 2043 1451 282 section in an excitation function over the whole energy range 2043 1451 283 does not exceed 1.e-9 b, the MT-number is not included at all. 2043 1451 284 Cross sections lower than 1.e-20 b are assumed to have no 2043 1451 285 physical meaning and are set to zero. 2043 1451 286 2043 1451 287 - MT1 : Total cross section 2043 1451 288 2043 1451 289 Calculations from the spherical OMP [kon03] were used. 2043 1451 290 2043 1451 291 - MT2 : Elastic scattering cross section 2043 1451 292 2043 1451 293 Obtained by subtracting the non-elastic cross section from the 2043 1451 294 total cross section. 2043 1451 295 2043 1451 296 - MT3 : Non-elastic cross section 2043 1451 297 2043 1451 298 Calculated with the optical model over the whole energy range. 2043 1451 299 2043 1451 300 - MT4 : Total inelastic cross section 2043 1451 301 2043 1451 302 Sum of MT=51-91. 2043 1451 303 2043 1451 304 - MT5 : (n,anything) cross section 2043 1451 305 2043 1451 306 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2043 1451 307 cross section, where x may represent neutron, proton, deuteron, 2043 1451 308 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2043 1451 309 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2043 1451 310 recovered. These cross sections are relatively small. However, 2043 1451 311 addition of these cross sections, which can not be stored in any 2043 1451 312 other MT-number, ensures that the partial cross sections add up 2043 1451 313 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2043 1451 314 total non-elastic cross section, with which the information of 2043 1451 315 MF6/MT5 can be combined to obtain particle production cross 2043 1451 316 sections and (double-)differential cross sections. 2043 1451 317 2043 1451 318 - MT16 : (n,2n) cross section 2043 1451 319 - MT17 : (n,3n) cross section 2043 1451 320 - MT22 : (n,na) cross section 2043 1451 321 - MT28 : (n,np) cross section 2043 1451 322 - MT51-70 : (n,n') cross section for 1st-20th excited state 2043 1451 323 - MT91 : (n,n') continuum cross section 2043 1451 324 - MT102 : (n,gamma) cross section 2043 1451 325 - MT103 : (n,p) cross section 2043 1451 326 - MT104 : (n,d) cross section 2043 1451 327 - MT105 : (n,t) cross section 2043 1451 328 - MT107 : (n,a) cross section 2043 1451 329 - MT600-610: (n,p) cross section for 0th-10th excited state 2043 1451 330 2043 1451 331 Obtained by mapping continuum (n,p) cross section from 2043 1451 332 pre-equilibrium and compound model on discrete states. 2043 1451 333 2043 1451 334 - MT649 : (n,p) continuum cross section 2043 1451 335 - MT650-655: (n,d) cross section for 0th-5th excited state 2043 1451 336 2043 1451 337 Obtained by mapping continuum (n,d) cross section from 2043 1451 338 pre-equilibrium and compound model on discrete states. 2043 1451 339 2043 1451 340 - MT699 : (n,d) continuum cross section 2043 1451 341 - MT700-705: (n,t) cross section for 0th-5th excited state 2043 1451 342 2043 1451 343 Obtained by mapping continuum (n,t) cross section from 2043 1451 344 pre-equilibrium and compound model on discrete states. 2043 1451 345 2043 1451 346 - MT749 : (n,t) continuum cross section 2043 1451 347 - MT800-804: (n,a) cross section for 0th-4th excited state 2043 1451 348 2043 1451 349 Obtained by mapping continuum (n,a) cross section from 2043 1451 350 pre-equilibrium and compound model on discrete states. 2043 1451 351 2043 1451 352 - MT849 : (n,a) continuum cross section 2043 1451 353 2043 1451 354 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2043 1451 355 2043 1451 356 The versatility of MF6 for the storage of almost any secondary 2043 1451 357 distribution entails that we only use MF4 for the neutron elastic 2043 1451 358 scattering distribution. All data are generated with TALYS. 2043 1451 359 2043 1451 360 - MT2 : Elastic angular distribution 2043 1451 361 2043 1451 362 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2043 1451 363 Legendre representation to a tabulated representation. For 2043 1451 364 incident energies below 20 MeV, the Legendre coefficients are 2043 1451 365 given on a sufficiently precise energy grid. They are a sum of 2043 1451 366 calculated Legendre coefficients for compound nucleus and 2043 1451 367 shape-elastic scattering. For incident energies above 20 MeV, 2043 1451 368 relative angular distributions are tabulated on an angular grid. 2043 1451 369 2043 1451 370 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2043 1451 371 2043 1451 372 In MF6 we store all secondary energy, angle, and energy-angle 2043 1451 373 distributions, as well as all residual and discrete + continuum 2043 1451 374 photon production cross sections. We thus do not use MF12-15 for 2043 1451 375 the photon production that accompanies each reaction. All data 2043 1451 376 are generated with TALYS. 2043 1451 377 2043 1451 378 - MT5 : (n,anything) yields and energy-angle distributions 2043 1451 379 2043 1451 380 For energies below 20 MeV, MT5 contains the relative yields of 2043 1451 381 the (n,gamma x) reaction, where x may represent neutron, proton, 2043 1451 382 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2043 1451 383 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2043 1451 384 section can be recovered. For energies above 20 MeV, MT5 contains 2043 1451 385 the production yields of particles and residual products. It also 2043 1451 386 contains the secondary energy-angle distributions for all 2043 1451 387 particles and photons. First, the yields for neutrons are given 2043 1451 388 for the whole energy range. Next, on a secondary energy grid the 2043 1451 389 relative emission spectra are given together with the parameters 2043 1451 390 for the Kalbach systematics for angular distributions. Inelastic 2043 1451 391 scattering cross sections for discrete states have been broadened 2043 1451 392 and added to the continuum spectra. This procedure is repeated 2043 1451 393 for protons, deuterons, tritons, Helium-3, alpha particles and 2043 1451 394 photons. Finally, the residual production yields are given per 2043 1451 395 final product. All these yields and relative distributions can 2043 1451 396 be multiplied with the cross sections given in MF3/MT5 to get 2043 1451 397 the production cross sections and (double-)differential cross 2043 1451 398 sections. 2043 1451 399 2043 1451 400 - MT16 : (n,2n) energy-angle distr. and photon production 2043 1451 401 2043 1451 402 First, for each type of outgoing particle, the (trivial) integer 2043 1451 403 particle yields are given. Next, on a sufficiently dense incident 2043 1451 404 energy grid the secondary energy-angle distributions are 2043 1451 405 specified by means of the relative emission spectra and the 2043 1451 406 parameters for the Kalbach systematics for angular distributions. 2043 1451 407 Next, the photon yield is tabulated as a function of incident 2043 1451 408 energy. For each incident energy, the photon production is given 2043 1451 409 for all discrete gamma lines present in the final nucleus. A 2043 1451 410 continuum photon distribution is added to this. We assume 2043 1451 411 isotropy for all produced gamma rays. 2043 1451 412 2043 1451 413 For the following MT-numbers, the same procedure as for MT16 is 2043 1451 414 followed: 2043 1451 415 ----- 2043 1451 416 - MT17 : (n,3n) energy-angle distr. and photon production 2043 1451 417 - MT22 : (n,na) energy-angle distr. and photon production 2043 1451 418 - MT28 : (n,np) energy-angle distr. and photon production 2043 1451 419 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2043 1451 420 - MT102 : (n,gamma) photon production 2043 1451 421 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2043 1451 422 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2043 1451 423 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2043 1451 424 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2043 1451 425 ----- 2043 1451 426 2043 1451 427 - MT51 : (n,n') angular distribution and photon production 2043 1451 428 for first excited state 2043 1451 429 2043 1451 430 The angular distribution for inelastic scattering to the first 2043 1451 431 inelastic state is given with Legendre coefficients up to 20 MeV. 2043 1451 432 Next, the exclusive yields for all the discrete gamma rays that 2043 1451 433 originate from this particular level are given. 2043 1451 434 2043 1451 435 For the following MT-numbers, the same procedure as for MT51 is 2043 1451 436 followed: 2043 1451 437 ----- 2043 1451 438 - MT52-70 : (n,n') angular distribution and photon production 2043 1451 439 for 2nd-20th excited state 2043 1451 440 - MT600-610: (n,p) angular distribution and photon production 2043 1451 441 for 0th-10th excited state 2043 1451 442 - MT650-655: (n,d) angular distribution and photon production 2043 1451 443 for 0th-5th excited state 2043 1451 444 - MT700-705: (n,t) angular distribution and photon production 2043 1451 445 for 0th-5th excited state 2043 1451 446 - MT800-810: (n,a) angular distribution and photon production 2043 1451 447 for 0th-10th excited state 2043 1451 448 ----- 2043 1451 449 2043 1451 450 ***** F I L E C H E C K I N G A N D P R O C E S S I N G ****2043 1451 451 2043 1451 452 This file has been checked successfully by the BNL checking 2043 1451 453 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2043 1451 454 been processed successfully into an MCNP library by the 2043 1451 455 processing code NJOY99.81 [mac00]. 2043 1451 456 2043 1451 457 *********************** R E F E R E N C E S **********************2043 1451 458 2043 1451 459 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2043 1451 460 (1985). 2043 1451 461 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2043 1451 462 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2043 1451 463 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2043 1451 464 Nucl. Sci. Eng. 141, 1 (2002). 2043 1451 465 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2043 1451 466 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2043 1451 467 (1952). 2043 1451 468 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2043 1451 469 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2043 1451 470 Series on Neutron Physics and Nuclear Data in Science and 2043 1451 471 Technology, eds. A. Michaudon et al., p. 62 (1984). 2043 1451 472 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2043 1451 473 (1965). 2043 1451 474 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2043 1451 475 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2043 1451 476 Nucl. Phys. 21, no. 3, 255 (1975). 2043 1451 477 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2043 1451 478 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2043 1451 479 code with direct reactions, Duke University 2001, 2043 1451 480 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2043 1451 481 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2043 1451 482 (2003). 2043 1451 483 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2043 1451 484 (2004). 2043 1451 485 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2043 1451 486 (2004). 2043 1451 487 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2043 1451 488 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2043 1451 489 pointwise and multigroup neutron and photon cross 2043 1451 490 sections from ENDF/B Data, RSIC PSR-480 (2000). 2043 1451 491 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2043 1451 492 Preequilibrium Reactions, Semmering, Austria, 2043 1451 493 February 10-12 1988, (OECD, Paris 1988), p. 103. 2043 1451 494 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2043 1451 495 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2043 1451 496 Neutron Cross Sections, Vol. I, Neutron Resonance 2043 1451 497 Parameters and Thermal Cross Sections (Academic Press, 2043 1451 498 1981). 2043 1451 499 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2043 1451 500 No. CEA-N-2772, 1994. 2043 1451 501 [rip98] Handbook for calculations of nuclear reaction data: 2043 1451 502 Reference Input Parameter Library, IAEA-TECDOC-1034 2043 1451 503 (1998). 2043 1451 504 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2043 1451 505 S. Benck, J.P. Meulders, and V. Corcalciuc, 2043 1451 506 Journ. Phys. G, November 2003 (2003). 2043 1451 507 2043 1451 508 ************************* C O N T E N T S ************************2043 1451 509 2043 1451 510 ***************** Program LINEAR (VERSION 2007-1) ***************2043 1451 511 For All Data Greater than 1.0000E-10 barns in Absolute Value 2043 1451 512 Data Linearized Using Energy Dependent Uncertainty 2043 1451 513 Energy Accuracy 2043 1451 514 (eV) (per-cent) 2043 1451 515 ----------- ----------- 2043 1451 516 0.0 .010000000 2043 1451 517 1.00000000 .010000000 2043 1451 518 10.0000000 .100000000 2043 1451 519 2.00000E+9 .100000000 2043 1451 520 ***************** Program SIGMA1 (VERSION 2007-1) ***************2043 1451 521 Data Doppler Broadened to 1200.00000 Kelvin 2043 1451 522 for All Data Greater than 1.0000E-10 barns in Absolute Value 2043 1451 523 Data Linearized Using Energy Dependent Uncertainty 2043 1451 524 Energy Accuracy 2043 1451 525 (eV) (per-cent) 2043 1451 526 ----------- ----------- 2043 1451 527 0.0 .010000000 2043 1451 528 1.00000000 .010000000 2043 1451 529 10.0000000 .100000000 2043 1451 530 2.00000E+9 .100000000 2043 1451 531 ***************** Program SIGMA1 (VERSION 2007-1) ***************2043 1451 532 Data Doppler Broadened to 120000000. Kelvin 2043 1451 533 for All Data Greater than 1.0000E-10 barns in Absolute Value 2043 1451 534 Data Linearized Using Energy Dependent Uncertainty 2043 1451 535 Energy Accuracy 2043 1451 536 (eV) (per-cent) 2043 1451 537 ----------- ----------- 2043 1451 538 0.0 .010000000 2043 1451 539 1.00000000 .010000000 2043 1451 540 10.0000000 .100000000 2043 1451 541 2.00000E+9 .100000000 2043 1451 542 ***************** Program FIXUP (Version 2007-1) ****************2043 1451 543 Corrected ZA/AWR in All Sections-----------------------------Yes 2043 1451 544 Corrected Thresholds-----------------------------------------No 2043 1451 545 Extended Cross Sections to 20 MeV----------------------------No 2043 1451 546 Allow Cross Section Deletion---------------------------------Yes 2043 1451 547 Allow Cross Section Reconstruction---------------------------Yes 2043 1451 548 Make All Cross Sections Non-Negative-------------------------Yes 2043 1451 549 Delete Energies Not in Ascending Order-----------------------Yes 2043 1451 550 Deleted Duplicate Points-------------------------------------Yes 2043 1451 551 Check for Ascending MAT/MF/MT Order--------------------------Yes 2043 1451 552 Check for Legal MF/MT Numbers--------------------------------Yes 2043 1451 553 Allow Creation of Missing Sections---------------------------No 2043 1451 554 Allow Insertion of Energy Points-----------------------------No 2043 1451 555 Create Uniform Energy Grid-----------------------------------No 2043 1451 556 Delete Section if Cross Section =0 at All Energies-----------Yes 2043 1451 557 **************** Program DICTIN (VERSION 2007-1) ****************2043 1451 558 1 451 686 12043 1451 559 2 151 4 12043 1451 560 3 1 2767 12043 1451 561 3 2 200 12043 1451 562 3 4 1392 12043 1451 563 3 5 203 12043 1451 564 3 16 136 12043 1451 565 3 17 114 12043 1451 566 3 22 101 12043 1451 567 3 28 107 12043 1451 568 3 51 147 12043 1451 569 3 52 123 12043 1451 570 3 53 130 12043 1451 571 3 54 120 12043 1451 572 3 55 136 12043 1451 573 3 56 134 12043 1451 574 3 57 132 12043 1451 575 3 58 124 12043 1451 576 3 59 128 12043 1451 577 3 60 126 12043 1451 578 3 61 118 12043 1451 579 3 62 127 12043 1451 580 3 63 125 12043 1451 581 3 64 127 12043 1451 582 3 65 121 12043 1451 583 3 66 117 12043 1451 584 3 67 121 12043 1451 585 3 68 113 12043 1451 586 3 69 120 12043 1451 587 3 70 123 12043 1451 588 3 91 139 12043 1451 589 3 102 263 12043 1451 590 3 103 550 12043 1451 591 3 104 280 12043 1451 592 3 105 287 12043 1451 593 3 107 311 12043 1451 594 3 600 88 12043 1451 595 3 601 98 12043 1451 596 3 602 90 12043 1451 597 3 603 95 12043 1451 598 3 604 94 12043 1451 599 3 605 91 12043 1451 600 3 606 93 12043 1451 601 3 607 97 12043 1451 602 3 608 100 12043 1451 603 3 609 100 12043 1451 604 3 610 100 12043 1451 605 3 649 112 12043 1451 606 3 650 97 12043 1451 607 3 651 101 12043 1451 608 3 652 96 12043 1451 609 3 653 93 12043 1451 610 3 654 94 12043 1451 611 3 655 79 12043 1451 612 3 699 103 12043 1451 613 3 700 68 12043 1451 614 3 701 70 12043 1451 615 3 702 72 12043 1451 616 3 703 72 12043 1451 617 3 704 72 12043 1451 618 3 705 67 12043 1451 619 3 749 83 12043 1451 620 3 800 88 12043 1451 621 3 801 93 12043 1451 622 3 802 93 12043 1451 623 3 803 95 12043 1451 624 3 804 90 12043 1451 625 3 849 98 12043 1451 626 4 2 1221 12043 1451 627 6 5 7629 12043 1451 628 6 16 442 12043 1451 629 6 17 77 12043 1451 630 6 22 396 12043 1451 631 6 28 263 12043 1451 632 6 51 134 12043 1451 633 6 52 119 12043 1451 634 6 53 118 12043 1451 635 6 54 105 12043 1451 636 6 55 111 12043 1451 637 6 56 111 12043 1451 638 6 57 106 12043 1451 639 6 58 104 12043 1451 640 6 59 104 12043 1451 641 6 60 104 12043 1451 642 6 61 99 12043 1451 643 6 62 101 12043 1451 644 6 63 100 12043 1451 645 6 64 99 12043 1451 646 6 65 100 12043 1451 647 6 66 94 12043 1451 648 6 67 95 12043 1451 649 6 68 95 12043 1451 650 6 69 92 12043 1451 651 6 70 94 12043 1451 652 6 91 972 12043 1451 653 6 102 1080 12043 1451 654 6 600 44 12043 1451 655 6 601 50 12043 1451 656 6 602 48 12043 1451 657 6 603 49 12043 1451 658 6 604 52 12043 1451 659 6 605 48 12043 1451 660 6 606 50 12043 1451 661 6 607 49 12043 1451 662 6 608 48 12043 1451 663 6 609 46 12043 1451 664 6 610 46 12043 1451 665 6 649 345 12043 1451 666 6 650 33 12043 1451 667 6 651 41 12043 1451 668 6 652 42 12043 1451 669 6 653 42 12043 1451 670 6 654 41 12043 1451 671 6 655 37 12043 1451 672 6 699 195 12043 1451 673 6 700 28 12043 1451 674 6 701 37 12043 1451 675 6 702 37 12043 1451 676 6 703 35 12043 1451 677 6 704 39 12043 1451 678 6 705 35 12043 1451 679 6 749 121 12043 1451 680 6 800 46 12043 1451 681 6 801 53 12043 1451 682 6 802 50 12043 1451 683 6 803 46 12043 1451 684 6 804 44 12043 1451 685 6 849 253 12043 1451 686 2043 1 0 687 2043 0 0 688 20046.0000 45.5589300 0 0 1 02043 2151 689 20046.0000 1.00000000 0 0 1 02043 2151 690 1.00000E-5 200000000. 0 0 0 02043 2151 691 0.0 .302890000 0 0 0 02043 2151 692 2043 2 0 693 2043 0 0 694 20046.0000 45.5589300 0 0 0 02043 3 1 695 0.0 0.0 0 0 1 82912043 3 1 696 8291 2 2043 3 1 697 1.00000E-5 29472.5971 1.02999E-5 29040.3539 1.06087E-5 28614.58302043 3 1 698 1.09269E-5 28194.8593 1.12544E-5 27781.5475 1.15920E-5 27374.06122043 3 1 699 1.19395E-5 26972.7636 1.22976E-5 26577.1400 1.26662E-5 26187.52532043 3 1 700 1.30462E-5 25803.3692 1.34372E-5 25425.1470 1.38403E-5 25052.18942043 3 1 701 1.42552E-5 24684.9633 1.46827E-5 24322.9071 1.51229E-5 23966.32812043 3 1 702 1.55765E-5 23614.7586 1.60434E-5 23268.6138 1.65246E-5 22927.30342043 3 1 703 1.70199E-5 22591.2117 1.75304E-5 22259.8662 1.80559E-5 21933.53032043 3 1 704 1.85975E-5 21611.8121 1.91550E-5 21294.9955 1.97295E-5 20982.65472043 3 1 705 2.03209E-5 20675.0499 2.09305E-5 20371.7659 2.15579E-5 20073.15242043 3 1 706 2.22045E-5 19778.7111 2.28701E-5 19488.7774 2.35561E-5 19202.89902043 3 1 707 2.42622E-5 18921.4149 2.49899E-5 18643.8774 2.57390E-5 18370.56962043 3 1 708 2.65110E-5 18101.1202 2.73057E-5 17835.7607 2.81247E-5 17574.15942043 3 1 709 2.89678E-5 17316.5213 2.98367E-5 17062.5181 3.07311E-5 16812.39812043 3 1 710 3.16528E-5 16565.8017 3.26017E-5 16322.9511 3.35795E-5 16083.53182043 3 1 711 3.45861E-5 15847.7531 3.56235E-5 15615.2970 3.66913E-5 15386.38912043 3 1 712 3.77919E-5 15160.6977 3.89247E-5 14938.4565 4.00923E-5 14719.33102043 3 1 713 4.12941E-5 14503.5643 4.25327E-5 14290.8181 4.38076E-5 14081.33272043 3 1 714 4.51216E-5 13874.7872 4.64742E-5 13671.3932 4.78681E-5 13470.86522043 3 1 715 4.93030E-5 13273.3882 5.07818E-5 13078.6992 5.23041E-5 12886.96982043 3 1 716 5.38729E-5 12697.9446 5.54878E-5 12511.8011 5.71521E-5 12328.28092043 3 1 717 5.88653E-5 12147.5543 6.06310E-5 11969.3691 6.24484E-5 11793.91162043 3 1 718 6.43215E-5 11620.9213 6.62496E-5 11450.5642 6.82368E-5 11282.60352043 3 1 719 7.02822E-5 11117.2125 7.23903E-5 10954.1448 7.45603E-5 10793.56542043 3 1 720 7.67967E-5 10635.2425 7.90987E-5 10479.3404 8.14712E-5 10325.63182043 3 1 721 8.39134E-5 10174.2632 8.64304E-5 10025.0245 8.90212E-5 9878.067572043 3 1 722 9.16913E-5 9733.17781 9.44399E-5 9590.49485 9.72725E-5 9449.823572043 3 1 723 1.00188E-4 9311.29403 1.03193E-4 9174.73728 1.06287E-4 9040.221392043 3 1 724 1.09475E-4 8907.61213 1.12756E-4 8777.04030 1.16139E-4 8648.280222043 3 1 725 1.19620E-4 8521.52103 1.23208E-4 8396.52066 1.26901E-4 8273.440522043 3 1 726 1.30707E-4 8152.09840 1.34626E-4 8032.58220 1.38664E-4 7914.746282043 3 1 727 1.42820E-4 7798.73583 1.47104E-4 7684.34124 1.51513E-4 7571.697272043 3 1 728 1.56058E-4 7460.63667 1.60736E-4 7351.26834 1.65557E-4 7243.444922043 3 1 729 1.70520E-4 7137.25660 1.75635E-4 7032.55978 1.80899E-4 6929.475252043 3 1 730 1.86325E-4 6827.84149 1.91911E-4 6727.74290 1.97667E-4 6629.059882043 3 1 731 2.03592E-4 6531.88345 2.09699E-4 6436.07181 2.15985E-4 6341.725932043 3 1 732 2.22463E-4 6248.70758 2.29132E-4 6157.10434 2.36004E-4 6066.796852043 3 1 733 2.43079E-4 5977.85753 2.50370E-4 5890.17272 2.57875E-4 5803.829022043 3 1 734 2.65610E-4 5718.69595 2.73572E-4 5634.86688 2.81777E-4 5552.217772043 3 1 735 2.90224E-4 5470.82363 2.98929E-4 5390.57738 3.07890E-4 5311.556072043 3 1 736 3.17125E-4 5233.64330 3.26631E-4 5156.92518 3.36428E-4 5081.282582043 3 1 737 3.46513E-4 5006.79596 3.56906E-4 4933.35703 3.67605E-4 4861.037362043 3 1 738 3.78631E-4 4789.73457 3.89981E-4 4719.52215 4.01678E-4 4650.295722043 3 1 739 4.13719E-4 4582.12678 4.26128E-4 4514.91550 4.38901E-4 4448.731332043 3 1 740 4.52066E-4 4383.47780 4.65617E-4 4319.21935 4.79583E-4 4255.865752043 3 1 741 4.93959E-4 4193.47777 5.08775E-4 4131.96856 5.24026E-4 4071.396852043 3 1 742 5.39744E-4 4011.67797 5.55923E-4 3952.87000 5.72598E-4 3894.889602043 3 1 743 5.89762E-4 3837.79376 6.07452E-4 3781.50065 6.25661E-4 3726.067672043 3 1 744 6.44427E-4 3671.41434 6.63744E-4 3617.59422 6.83653E-4 3564.531942043 3 1 745 7.04146E-4 3512.27870 7.25267E-4 3460.76036 7.47007E-4 3410.029182043 3 1 746 7.69413E-4 3360.01214 7.92477E-4 3310.75640 8.16247E-4 3262.195142043 3 1 747 8.40715E-4 3214.37371 8.65932E-4 3167.22545 8.91889E-4 3120.796972043 3 1 748 9.18641E-4 3075.02113 9.46178E-4 3029.94449 9.74558E-4 2985.501722043 3 1 749 .001003771 2941.73696 .001033879 2898.58791 .001064871 2856.097392043 3 1 750 .001096811 2814.20421 .001129689 2772.95102 .001163573 2732.277912043 3 1 751 .001198452 2692.22526 .001234399 2652.73645 .001271401 2613.850692043 3 1 752 .001271402 2613.84964 .001309536 2575.51078 .001309537 2575.509782043 3 1 753 .001348791 2537.75575 .001389247 2500.53291 .001430891 2463.878062043 3 1 754 .001430892 2463.87718 .001473810 2427.73786 .001517989 2392.149412043 3 1 755 .001563520 2357.06234 .001563521 2357.06157 .001610388 2322.510572043 3 1 756 .001610389 2322.50983 .001658691 2288.44407 .001708412 2254.897672043 3 1 757 .001759655 2221.82352 .001812402 2189.25450 .001812403 2189.253892043 3 1 758 .001866765 2157.14229 .001922722 2125.52176 .001922723 2125.521202043 3 1 759 .001980393 2094.34507 .001980394 2094.34453 .002039758 2063.643942043 3 1 760 .002100939 2033.37527 .002163916 2003.56860 .002163917 2003.568132043 3 1 761 .002228822 1974.18077 .002228823 1974.18032 .002295634 1945.241312043 3 1 762 .002364489 1916.70967 .002364490 1916.70925 .002435367 1888.612962043 3 1 763 .002435368 1888.61256 .002508415 1860.91134 .002583607 1833.632822043 3 1 764 .002583608 1833.63246 .002661101 1806.73775 .002661102 1806.737402043 3 1 765 .002740871 1780.25300 .002823081 1754.14129 .002823082 1754.140972043 3 1 766 .002907706 1728.42759 .002994920 1703.07626 .002994921 1703.075972043 3 1 767 .003084696 1678.11128 .003084697 1678.11100 .003177221 1653.497322043 3 1 768 .003272460 1629.25954 .003272461 1629.25929 .003370616 1605.362442043 3 1 769 .003370617 1605.36220 .003471654 1581.83005 .003471655 1581.829822043 3 1 770 .003575784 1558.62867 .003575785 1558.62845 .003682972 1535.781402043 3 1 771 .003682973 1535.78119 .003793440 1513.25559 .003793441 1513.255382043 3 1 772 .003907152 1491.07360 .003907154 1491.07321 .004024345 1469.203412043 3 1 773 .004024346 1469.20322 .004144980 1447.66683 .004269305 1426.433762043 3 1 774 .004269306 1426.43359 .004397283 1405.52418 .004510060 1387.897082043 3 1 775 .004529177 1384.90909 .004664944 1364.60848 .004744367 1353.247542043 3 1 776 .004804866 1344.59355 .004948897 1324.88398 .004990847 1319.392292043 3 1 777 .005097336 1305.45178 .005250133 1286.31615 .005250134 1286.316022043 3 1 778 .005407609 1267.44952 .005522888 1254.23711 .005569708 1248.870952043 3 1 779 .005736768 1230.55371 .005809814 1222.89181 .005908733 1212.516062043 3 1 780 .006085962 1194.73216 .006111647 1192.26655 .006268395 1177.219622043 3 1 781 .006429160 1162.45610 .006456412 1159.95347 .006649949 1142.950822043 3 1 782 .006763168 1133.43552 .006849411 1126.18736 .007054729 1109.679752043 3 1 783 .007114530 1105.08016 .007266331 1093.40440 .007484145 1077.377512043 3 1 784 .007484147 1077.37736 .007708630 1061.57582 .007872962 1050.509812043 3 1 785 .007939704 1046.01545 .008177850 1030.67402 .008281980 1024.256752043 3 1 786 .008422990 1015.56665 .008675632 1000.67189 .008712246 998.6068612043 3 1 787 .008935694 986.004370 .009164866 973.639333 .009203714 971.5432792043 3 1 788 .009479605 957.302816 .009641001 949.333316 .009763940 943.2627672043 3 1 789 .010056625 929.436928 .010141871 925.584640 .010358267 915.8056512043 3 1 790 .010668764 902.382511 .010668767 902.382381 .010988770 889.1479972043 3 1 791 .011223029 879.879733 .011318170 876.115558 .011657652 863.2664912043 3 1 792 .011806089 857.891852 .012007102 850.613529 .012367248 838.1385862043 3 1 793 .012419441 836.409071 .012737969 825.854034 .013064658 815.4978542043 3 1 794 .013120036 813.742348 .013513323 801.815459 .013743395 795.1407362043 3 1 795 .013918647 790.056421 .014335873 778.476818 .014457394 775.2503632043 3 1 796 .014765869 767.060168 .015208487 755.817841 .015208491 755.8177392043 3 1 797 .015664661 744.733512 .015998600 736.971061 .016134225 733.8184432043 3 1 798 .016618162 723.056964 .016829762 718.555521 .017116308 712.4597242043 3 1 799 .017629702 702.011604 .017704104 700.563085 .018158171 691.7229392043 3 1 800 .018623871 683.049357 .018702814 681.579057 .019263450 671.5899862043 3 1 801 .019591421 665.999737 .019841246 661.741483 .020436008 652.0432892043 3 1 802 .020609237 649.341071 .021048973 642.481582 .021679932 633.0658752043 3 1 803 .021679938 633.065785 .022330215 623.782509 .022806251 617.2812942043 3 1 804 .022999587 614.640908 .023689445 605.627967 .023991085 601.8579172043 3 1 805 .024399561 596.752576 .025237473 586.774932 .025268741 586.4026002043 3 1 806 .025300000 586.040343 .026058858 577.447043 .026614389 571.4289502043 3 1 807 .026840000 568.984895 .027645049 560.641848 .027997064 557.1519332043 3 1 808 .028473738 552.426136 .029327791 544.326057 .029451572 543.2029792043 3 1 809 .030206922 536.349610 .030981645 529.625215 .031112960 528.4854342043 3 1 810 .032045604 520.741285 .032591208 516.407310 .033006792 513.1061422043 3 1 811 .033996206 505.587534 .034284391 503.492544 .035015901 498.1747582043 3 1 812 .036065539 490.875130 .037147303 483.678254 .037939222 478.6381122043 3 1 813 .038260833 476.591230 .039408443 469.603967 .039910246 466.6811862043 3 1 814 .040589752 462.723364 .041807217 455.939619 .041983669 454.9990522043 3 1 815 .043060432 449.259427 .044164811 443.627834 .044352004 442.6732752043 3 1 816 .045681502 436.187667 .046459268 432.558039 .047051690 429.7933622043 3 1 817 .048462114 423.496670 .048872927 421.742158 .049915706 417.2886262043 3 1 818 .051411981 411.175360 .052954052 405.148163 .054082944 400.9271902043 3 1 819 .054541406 399.212982 .056177342 393.361366 .056892670 390.9136342043 3 1 820 .057861316 387.599091 .059596832 381.917948 .059848367 381.1302602043 3 1 821 .061383309 376.323550 .062957618 371.607326 .063224464 370.8079242043 3 1 822 .065119683 365.376518 .066228402 362.336875 .067072909 360.0215912043 3 1 823 .069083489 354.748436 .069669110 353.279125 .071155607 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