20-Ca- 42 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20042.0000 41.5981800 2 0 0 12031 1451 1 0.0 0.0 0 0 0 62031 1451 2 1.00000000 200000000. 1 0 10 72031 1451 3 12000.0000 0.0 1 0 606 1672031 1451 4 20-Ca- 42 NRG EVAL-OCT04 A.J. Koning 2031 1451 5 DIST-DEC06 REV1-MAY05 20050504 2031 1451 6 ----ENDF/B-VII MATERIAL 2031 REVISION 1 2031 1451 7 -----INCIDENT NEUTRON DATA 2031 1451 8 ------ENDF-6 FORMAT 2031 1451 9 ***************************** ENDF/B-VII *************************2031 1451 10 ** **2031 1451 11 ** Original data taken from: JEFF-3.1 **2031 1451 12 ** **2031 1451 13 ******************************************************************2031 1451 14 ***************************** JEFF-3.1 *************************2031 1451 15 ** **2031 1451 16 ** Original data taken from: New evaluation **2031 1451 17 ** **2031 1451 18 ******************************************************************2031 1451 19 2031 1451 20 NRG-2004: n + Ca-42 2031 1451 21 2031 1451 22 Author: A.J. Koning, NRG Petten 2031 1451 23 2031 1451 24 ************** G E N E R A L I N F O R M A T I O N *************2031 1451 25 2031 1451 26 This evaluated data file is based primarily on a theoretical 2031 1451 27 analysis with the nuclear model code TALYS [kon04], version 0.56. 2031 1451 28 The nuclear model parameters of TALYS have been adjusted to 2031 1451 29 reproduce the existing experimental data. The resulting data file 2031 1451 30 provides a complete representation of nuclear data needed for 2031 1451 31 transport, damage, heating, radioactivity, and shielding 2031 1451 32 applications over the incident neutron energy range from 2031 1451 33 1.0E-11 to 200 MeV. 2031 1451 34 2031 1451 35 This file is part of a larger collection of isotopic evaluations, 2031 1451 36 all created by running TALYS with input parameters that do not or 2031 1451 37 slightly deviate from the default values. The mutual quality of 2031 1451 38 these isotopic evaluations is thus relatively consistent. 2031 1451 39 The same set of nuclear models is used and, equally important, 2031 1451 40 the same ENDF-6 formatting procedures for each isotope. We have 2031 1451 41 intended to make this evaluation complete in its description of 2031 1451 42 reaction channels, and use a compact method to store the data. 2031 1451 43 2031 1451 44 For certain reactions and energy ranges TALYS may not be used. 2031 1451 45 This is the case when TALYS is not appropriate, such as for the 2031 1451 46 description of resonances, or when the directly available 2031 1451 47 experimental data is of better quality, as for e.g. low-energy 2031 1451 48 total cross sections. In these cases, we have adopted the best 2031 1451 49 possible data from an existing library, or directly from unfiled 2031 1451 50 experimental data. All transport data for particles, photons and 2031 1451 51 residual nuclides are filed using a combination of MF1,2,3,4 and 2031 1451 52 MF6. This includes cross sections, angular distributions, 2031 1451 53 double-differential spectra, discrete and continuum photon 2031 1451 54 production cross sections, and residual production (activation) 2031 1451 55 cross sections. Moreover, isomeric production data are stored in 2031 1451 56 MF8 and MF10. This evaluation can thus be used as both transport 2031 1451 57 and activation library. The data file has been created 2031 1451 58 automatically using the ENDF-6 format generator TEFAL. 2031 1451 59 2031 1451 60 ##### ORIGIN 2031 1451 61 2031 1451 62 Data < 200 MeV : New evaluation NRG Petten 2031 1451 63 2031 1451 64 Resonance parameters (MF2/MT151): JENDL-3.3 for E < 300 keV 2031 1451 65 All other data : Produced with TALYS code 2031 1451 66 2031 1451 67 *************************** T H E O R Y **************************2031 1451 68 2031 1451 69 TALYS is a computer code system for the prediction and analysis 2031 1451 70 of nuclear reactions. TALYS simulates reactions that involve 2031 1451 71 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2031 1451 72 alpha-particles, in the 1 keV - 200 MeV energy range and for 2031 1451 73 target nuclides of mass 12 and heavier. This is achieved by 2031 1451 74 implementing a suite of nuclear reaction models into a single 2031 1451 75 code system. It enables to evaluate nuclear reactions from 2031 1451 76 the unresolved resonance region up to intermediate energies. This 2031 1451 77 evaluation is based on a theoretical analysis that utilizes the 2031 1451 78 optical model, compound nucleus statistical theory, direct 2031 1451 79 reactions and pre-equilibrium processes, in combination with 2031 1451 80 databases and models for nuclear structure. For Ca-42, the 2031 1451 81 following output of TALYS is stored in this data file: 2031 1451 82 2031 1451 83 - Total, elastic and non-elastic cross sections 2031 1451 84 - Elastic scattering angular distributions 2031 1451 85 - Inelastic cross sections to discrete states 2031 1451 86 - Inelastic scattering angular distributions to discrete states 2031 1451 87 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2031 1451 88 - Exclusive channel energy spectra 2031 1451 89 - Exclusive channel double-differential spectra 2031 1451 90 - Exclusive gamma production for discrete states and continuum 2031 1451 91 - Isomeric and ground state cross sections 2031 1451 92 - Residual production cross sections 2031 1451 93 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2031 1451 94 - Total particle energy spectra 2031 1451 95 - Total particle double-differential spectra 2031 1451 96 2031 1451 97 Here follows a short description of the used nuclear models: 2031 1451 98 2031 1451 99 ##### OPTICAL MODEL 2031 1451 100 2031 1451 101 All optical model calculations are performed by ECIS-97 [ray94], 2031 1451 102 in TALYS used as a subroutine. The default optical model 2031 1451 103 potentials (OMP) used are the local and global parameterizations 2031 1451 104 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2031 1451 105 for neutrons and protons which in principle are valid over the 2031 1451 106 1 keV - 200 MeV energy range, though the low energy boundary of 2031 1451 107 validity may differ from nucleus to nucleus (e.g. for the total 2031 1451 108 cross sections, experimental data are included directly in the 2031 1451 109 file for energies below that boundary). Solving the Schroedinger 2031 1451 110 equation with this OMP yields the total cross section, the 2031 1451 111 shape-elastic cross section, the shape-elastic angular 2031 1451 112 distribution, the wave functions for the direct reaction cross 2031 1451 113 sections (see below), the transmission coefficients for the 2031 1451 114 compound nucleus model (see below) and the reaction cross 2031 1451 115 sections for the pre-equilibrium model (see below). 2031 1451 116 For neutrons and protons, the used parameterization is given in 2031 1451 117 Eq. (7) of [kon03]. 2031 1451 118 To calculate the transmission coefficients and reaction cross 2031 1451 119 sections for deuterons, tritons, helions and alpha particles, we 2031 1451 120 use OMPs that are directly derived from our nucleon potentials 2031 1451 121 using Watanabe's folding approach [mad88]. 2031 1451 122 2031 1451 123 ##### DIRECT REACTIONS 2031 1451 124 2031 1451 125 The built-in ECIS-97 is used for coupled-channels or DWBA 2031 1451 126 calculations for rotational or vibrational (or a combination of 2031 1451 127 these) nuclides. For Ca-42, DWBA was used to compute the direct 2031 1451 128 cross sections to several low-lying discrete levels: 2031 1451 129 2031 1451 130 Level Energy Spin/Parity Deformation parameter beta_l 2031 1451 131 2031 1451 132 1 1.524730 2.0+ 0.247 2031 1451 133 9 3.446960 3.0- 0.303 2031 1451 134 + a few additional states with small deformation parameters. 2031 1451 135 2031 1451 136 In addition, a macroscopic, phenomenological model to describe 2031 1451 137 giant resonances in the inelastic channel is used. For each 2031 1451 138 multipolarity an energy weighted sum rule applies and a DWBA 2031 1451 139 calculation with ECIS-97 is performed for each giant resonance 2031 1451 140 state. The cross section is then spread over the continuum with a 2031 1451 141 Gaussian distribution. 2031 1451 142 2031 1451 143 ##### COMPOUND NUCLEUS 2031 1451 144 2031 1451 145 For binary compound nucleus reactions we use the model of 2031 1451 146 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2031 1451 147 corrected for width fluctuations. The transmission coefficients 2031 1451 148 have been generated with the aforementioned OMPs and the full 2031 1451 149 j,l-dependence of the transmission coefficients in the 2031 1451 150 Hauser-Feshbach model is used. For each nucleus that can be 2031 1451 151 reached through a binary reaction, several discrete levels and a 2031 1451 152 continuum described by level densities are included 2031 1451 153 simultaneously as competing channels. 2031 1451 154 2031 1451 155 The compound nucleus angular distributions are calculated with 2031 1451 156 the Blatt-Biedenharn formalism [bla52], leading to compound 2031 1451 157 nucleus Legendre coefficients that are added to their direct 2031 1451 158 counterparts. For multiple compound emission, i.e. emitted 2031 1451 159 particles after the binary emission, we use the Hauser-Feshbach 2031 1451 160 model. Again, for each residual nucleus several discrete states 2031 1451 161 are included as well as a continuum described by level densities. 2031 1451 162 Multiple compound emission is continued until all reaction 2031 1451 163 channels are closed and the population distribution of all 2031 1451 164 residual nuclides is depleted, through gamma decay, until they 2031 1451 165 end up in the ground state or in an isomer. 2031 1451 166 2031 1451 167 For the level density, we take the composite formula proposed by 2031 1451 168 Gilbert and Cameron [gil65], consisting of a constant temperature 2031 1451 169 law at low energies and a Fermi gas expression at high energies. 2031 1451 170 For the level density parameter a we use the energy dependent 2031 1451 171 expression proposed by Ignatyuk [ign75] to take into account the 2031 1451 172 damping of shell effects at high excitation energy. We have 2031 1451 173 obtained the parameters for the Ignatyuk formula from a 2031 1451 174 simultaneous fit to all experimental D_0 values as present in the 2031 1451 175 RIPL library. If necessary, we adjust individual parameters to 2031 1451 176 obtain a better fit to experiment. 2031 1451 177 2031 1451 178 Gamma-ray transmission coefficients are generated with the 2031 1451 179 Kopecky-Uhl generalized Lorentzian for strength 2031 1451 180 functions [kop90], with giant dipole resonance parameters taken 2031 1451 181 from the RIPL library [rip98], and normalized with experimental 2031 1451 182 radiative widths [gar84]. 2031 1451 183 2031 1451 184 ##### PRE-EQUILIBRIUM REACTIONS 2031 1451 185 2031 1451 186 For pre-equilibrium reactions, which become important for 2031 1451 187 incident energies above about 10 MeV, we use the two-component 2031 1451 188 exciton model [kon04b], in which the neutron or proton types of 2031 1451 189 particles and holes are followed throughout the reaction. For 2031 1451 190 energies above 20 MeV, multiple pre-equilibrium emission up to 2031 1451 191 any order of particle emission was included in the calculations. 2031 1451 192 A parameterization for the squared matrix element is used that is 2031 1451 193 valid for the whole energy range of this evaluation. 2031 1451 194 2031 1451 195 For deuterons, tritons, helions and alpha-particles, an extra 2031 1451 196 contribution was added from the pick/up and knock-out reaction 2031 1451 197 model by Kalbach [kal01]. 2031 1451 198 2031 1451 199 For photons, the model of Akkermans and Gruppelaar [akk85] was 2031 1451 200 applied, to simulate the direct and semi-direct capture 2031 1451 201 processes. 2031 1451 202 2031 1451 203 The angular distribution systematics by Kalbach [kal88] were used 2031 1451 204 to describe the angular distributions for all continuum 2031 1451 205 particles. An isotopic distribution for photons was adopted. 2031 1451 206 2031 1451 207 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****2031 1451 208 2031 1451 209 This evaluation was performed simultaneously with other adjacent 2031 1451 210 isotopes, both for incident neutrons and protons. This enables, 2031 1451 211 when compared with a single-isotope effort, to put stronger 2031 1451 212 constraints on the produced calculated data, i.e. a globally 2031 1451 213 good comparison between TALYS and experimental data is requested 2031 1451 214 for all isotopes at the same time, while nucleus-specific input 2031 1451 215 (default or adjusted) parameters are consistently used for all 2031 1451 216 isotopes. Also, experimental data that is not available for the 2031 1451 217 isotope under study may be present, and tested, for adjacent 2031 1451 218 nuclides or for other projectiles. If these can be successfully 2031 1451 219 described by the models, a similar performance can be expected 2031 1451 220 for the present data file. 2031 1451 221 A few level density parameters for residual nuclides have been 2031 1451 222 adjusted to enforce agreement with the experimental data. The 2031 1451 223 changes in the level density parameters, a, were all kept within 2031 1451 224 10% of their default values. 2031 1451 225 2031 1451 226 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2031 1451 227 2031 1451 228 The spherical OMP was tested against experimental data for total 2031 1451 229 cross sections and elastic scattering angular distributions. 2031 1451 230 Consult [kon03] for the complete experimental database and for a 2031 1451 231 comparison of calculations and measurements over the whole energy 2031 1451 232 range for natural Ca. 2031 1451 233 2031 1451 234 ##### OTHER PARTIAL CROSS SECTIONS 2031 1451 235 2031 1451 236 - (n,gamma): 2031 1451 237 2031 1451 238 The calculated capture cross section is renormalized, by 2031 1451 239 overruling the default renormalization to the s-wave strength 2031 1451 240 function, to the available experimental data, all taken from the 2031 1451 241 EXFOR database. A normalization factor of 0.80 was used. The 2031 1451 242 pre-equilibrium gamma cross section was adjusted to the data by 2031 1451 243 multiplying the calculated result by a factor of 3.0. 2031 1451 244 2031 1451 245 - (n,p): 2031 1451 246 2031 1451 247 Many experimental (n,p) cross sections are available from EXFOR. 2031 1451 248 These have been used as validation for our TALYS calculation. 2031 1451 249 2031 1451 250 ##### PARTICLE SPECTRA 2031 1451 251 2031 1451 252 For Ca-42, an adjustment of the default matrix element 2031 1451 253 parameterization of [kon04b] for pre-equilibrium reactions of a 2031 1451 254 factor of 0.7 was needed, to describe the aforementioned cross 2031 1451 255 sections and emission spectra for nuclides in this mass range. 2031 1451 256 For high-energy neutron and charged particle spectra, the average 2031 1451 257 quality is also determined by the pre-equilibrium model and its 2031 1451 258 global parameterization. No high-energy experiments are 2031 1451 259 available, though neutron induced reaction spectra between 28 and 2031 1451 260 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2031 1451 261 to better constrain the results, through the aforementioned 2031 1451 262 matrix element, for particle yields and double-differential 2031 1451 263 spectra for all ejectiles up to alpha particles. 2031 1451 264 2031 1451 265 ***************** F I L E I N F O R M A T I O N ****************2031 1451 266 2031 1451 267 ##### MF1: GENERAL INFORMATION 2031 1451 268 2031 1451 269 - MT451 : Descriptive data and directory 2031 1451 270 2031 1451 271 This text and the full directory of used MF/MT sections. 2031 1451 272 2031 1451 273 ##### MF2: RESONANCE PARAMETERS 2031 1451 274 2031 1451 275 - MT151 : Resonance parameters 2031 1451 276 2031 1451 277 Resolved parameters for MLBW formula were adopted from JENDL-3.3. 2031 1451 278 They are given in the energy region from 1.0e-5 eV to 300 keV. 2031 1451 279 Parameters were taken from the recommended data of BNL [mug81] 2031 1451 280 and the data for a negative resonance were added so as to 2031 1451 281 reproduce the recommended thermal cross sections for capture and 2031 1451 282 scattering [mug81]. The scattering radius was assumed to be 2031 1451 283 3.6 fermi. Calculated 2200 m/sec cross sections and resonance 2031 1451 284 integrals are as follows: 2031 1451 285 2031 1451 286 2200 m/s cross section(b) res. integral(b) 2031 1451 287 elastic 1.222 2031 1451 288 capture 0.683 0.3762 2031 1451 289 total 1.905 2031 1451 290 2031 1451 291 2031 1451 292 ##### MF3: REACTION CROSS SECTIONS 2031 1451 293 2031 1451 294 Unless stated otherwise, all the data present in the following 2031 1451 295 MT-sections have been calculated with TALYS. If the maximal cross 2031 1451 296 section in an excitation function over the whole energy range 2031 1451 297 does not exceed 1.e-9 b, the MT-number is not included at all. 2031 1451 298 Cross sections lower than 1.e-20 b are assumed to have no 2031 1451 299 physical meaning and are set to zero. 2031 1451 300 2031 1451 301 - MT1 : Total cross section 2031 1451 302 2031 1451 303 Above 300 keV, calculations from the spherical OMP [kon03] were 2031 1451 304 used. 2031 1451 305 2031 1451 306 - MT2 : Elastic scattering cross section 2031 1451 307 2031 1451 308 Obtained by subtracting the non-elastic cross section from the 2031 1451 309 total cross section. Below 300 keV, resonance parameters are 2031 1451 310 used. 2031 1451 311 2031 1451 312 - MT3 : Non-elastic cross section 2031 1451 313 2031 1451 314 Calculated with the optical model over the whole energy range. 2031 1451 315 Below 300 keV, resonance parameters are used. 2031 1451 316 2031 1451 317 - MT4 : Total inelastic cross section 2031 1451 318 2031 1451 319 Sum of MT=51-91. 2031 1451 320 2031 1451 321 - MT5 : (n,anything) cross section 2031 1451 322 2031 1451 323 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2031 1451 324 cross section, where x may represent neutron, proton, deuteron, 2031 1451 325 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2031 1451 326 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2031 1451 327 recovered. These cross sections are relatively small. However, 2031 1451 328 addition of these cross sections, which can not be stored in any 2031 1451 329 other MT-number, ensures that the partial cross sections add up 2031 1451 330 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2031 1451 331 total non-elastic cross section, with which the information of 2031 1451 332 MF6/MT5 can be combined to obtain particle production cross 2031 1451 333 sections and (double-)differential cross sections. 2031 1451 334 2031 1451 335 - MT16 : (n,2n) cross section 2031 1451 336 - MT22 : (n,na) cross section 2031 1451 337 - MT28 : (n,np) cross section 2031 1451 338 - MT29 : (n,n2a) cross section 2031 1451 339 - MT32 : (n,nd) cross section 2031 1451 340 - MT51-70 : (n,n') cross section for 1st-20th excited state 2031 1451 341 - MT91 : (n,n') continuum cross section 2031 1451 342 - MT102 : (n,gamma) cross section 2031 1451 343 2031 1451 344 Below 300 keV, resonance parameters are used. 2031 1451 345 2031 1451 346 - MT103 : (n,p) cross section 2031 1451 347 - MT104 : (n,d) cross section 2031 1451 348 - MT105 : (n,t) cross section 2031 1451 349 - MT106 : (n,h) cross section 2031 1451 350 - MT107 : (n,a) cross section 2031 1451 351 - MT108 : (n,2a) cross section 2031 1451 352 - MT111 : (n,2p) cross section 2031 1451 353 - MT112 : (n,pa) cross section 2031 1451 354 - MT115 : (n,pd) cross section 2031 1451 355 - MT117 : (n,da) cross section 2031 1451 356 - MT600-610: (n,p) cross section for 0th-10th excited state 2031 1451 357 2031 1451 358 Obtained by mapping continuum (n,p) cross section from 2031 1451 359 pre-equilibrium and compound model on discrete states. 2031 1451 360 2031 1451 361 - MT649 : (n,p) continuum cross section 2031 1451 362 - MT650-655: (n,d) cross section for 0th-5th excited state 2031 1451 363 2031 1451 364 Obtained by mapping continuum (n,d) cross section from 2031 1451 365 pre-equilibrium and compound model on discrete states. 2031 1451 366 2031 1451 367 - MT699 : (n,d) continuum cross section 2031 1451 368 - MT700-705: (n,t) cross section for 0th-5th excited state 2031 1451 369 2031 1451 370 Obtained by mapping continuum (n,t) cross section from 2031 1451 371 pre-equilibrium and compound model on discrete states. 2031 1451 372 2031 1451 373 - MT749 : (n,t) continuum cross section 2031 1451 374 - MT750-755: (n,h) cross section for 0th-5th excited state 2031 1451 375 2031 1451 376 Obtained by mapping continuum (n,h) cross section from 2031 1451 377 pre-equilibrium and compound model on discrete states. 2031 1451 378 2031 1451 379 - MT799 : (n,h) continuum cross section 2031 1451 380 - MT800-810: (n,a) cross section for 0th-10th excited state 2031 1451 381 2031 1451 382 Obtained by mapping continuum (n,a) cross section from 2031 1451 383 pre-equilibrium and compound model on discrete states. 2031 1451 384 2031 1451 385 - MT849 : (n,a) continuum cross section 2031 1451 386 2031 1451 387 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2031 1451 388 2031 1451 389 The versatility of MF6 for the storage of almost any secondary 2031 1451 390 distribution entails that we only use MF4 for the neutron elastic 2031 1451 391 scattering distribution. All data are generated with TALYS. 2031 1451 392 2031 1451 393 - MT2 : Elastic angular distribution 2031 1451 394 2031 1451 395 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2031 1451 396 Legendre representation to a tabulated representation. For 2031 1451 397 incident energies below 20 MeV, the Legendre coefficients are 2031 1451 398 given on a sufficiently precise energy grid. They are a sum of 2031 1451 399 calculated Legendre coefficients for compound nucleus and 2031 1451 400 shape-elastic scattering. For incident energies above 20 MeV, 2031 1451 401 relative angular distributions are tabulated on an angular grid. 2031 1451 402 2031 1451 403 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2031 1451 404 2031 1451 405 In MF6 we store all secondary energy, angle, and energy-angle 2031 1451 406 distributions, as well as all residual and discrete + continuum 2031 1451 407 photon production cross sections. We thus do not use MF12-15 for 2031 1451 408 the photon production that accompanies each reaction. All data 2031 1451 409 are generated with TALYS. 2031 1451 410 2031 1451 411 - MT5 : (n,anything) yields and energy-angle distributions 2031 1451 412 2031 1451 413 For energies below 20 MeV, MT5 contains the relative yields of 2031 1451 414 the (n,gamma x) reaction, where x may represent neutron, proton, 2031 1451 415 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2031 1451 416 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2031 1451 417 section can be recovered. For energies above 20 MeV, MT5 contains 2031 1451 418 the production yields of particles and residual products. It also 2031 1451 419 contains the secondary energy-angle distributions for all 2031 1451 420 particles and photons. First, the yields for neutrons are given 2031 1451 421 for the whole energy range. Next, on a secondary energy grid the 2031 1451 422 relative emission spectra are given together with the parameters 2031 1451 423 for the Kalbach systematics for angular distributions. Inelastic 2031 1451 424 scattering cross sections for discrete states have been broadened 2031 1451 425 and added to the continuum spectra. This procedure is repeated 2031 1451 426 for protons, deuterons, tritons, Helium-3, alpha particles and 2031 1451 427 photons. Finally, the residual production yields are given per 2031 1451 428 final product. All these yields and relative distributions can 2031 1451 429 be multiplied with the cross sections given in MF3/MT5 to get 2031 1451 430 the production cross sections and (double-)differential cross 2031 1451 431 sections. 2031 1451 432 2031 1451 433 - MT16 : (n,2n) energy-angle distr. and photon production 2031 1451 434 2031 1451 435 First, for each type of outgoing particle, the (trivial) integer 2031 1451 436 particle yields are given. Next, on a sufficiently dense incident 2031 1451 437 energy grid the secondary energy-angle distributions are 2031 1451 438 specified by means of the relative emission spectra and the 2031 1451 439 parameters for the Kalbach systematics for angular distributions. 2031 1451 440 Next, the photon yield is tabulated as a function of incident 2031 1451 441 energy. For each incident energy, the photon production is given 2031 1451 442 for all discrete gamma lines present in the final nucleus. A 2031 1451 443 continuum photon distribution is added to this. We assume 2031 1451 444 isotropy for all produced gamma rays. 2031 1451 445 2031 1451 446 For the following MT-numbers, the same procedure as for MT16 is 2031 1451 447 followed: 2031 1451 448 ----- 2031 1451 449 - MT22 : (n,na) energy-angle distr. and photon production 2031 1451 450 - MT28 : (n,np) energy-angle distr. and photon production 2031 1451 451 - MT29 : (n,n2a) energy-angle distr. and photon production 2031 1451 452 - MT32 : (n,nd) energy-angle distr. and photon production 2031 1451 453 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2031 1451 454 - MT102 : (n,gamma) photon production 2031 1451 455 - MT108 : (n,2a) energy-angle distr. and photon production 2031 1451 456 - MT111 : (n,2p) energy-angle distr. and photon production 2031 1451 457 - MT112 : (n,pa) energy-angle distr. and photon production 2031 1451 458 - MT115 : (n,pd) energy-angle distr. and photon production 2031 1451 459 - MT117 : (n,da) energy-angle distr. and photon production 2031 1451 460 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2031 1451 461 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2031 1451 462 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2031 1451 463 - MT799 : (n,h) continuum energy-angle distr. and photon prod. 2031 1451 464 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2031 1451 465 ----- 2031 1451 466 2031 1451 467 - MT51 : (n,n') angular distribution and photon production 2031 1451 468 for first excited state 2031 1451 469 2031 1451 470 The angular distribution for inelastic scattering to the first 2031 1451 471 inelastic state is given with Legendre coefficients up to 20 MeV. 2031 1451 472 Next, the exclusive yields for all the discrete gamma rays that 2031 1451 473 originate from this particular level are given. 2031 1451 474 2031 1451 475 For the following MT-numbers, the same procedure as for MT51 is 2031 1451 476 followed: 2031 1451 477 ----- 2031 1451 478 - MT52-70 : (n,n') angular distribution and photon production 2031 1451 479 for 2nd-20th excited state 2031 1451 480 - MT600-610: (n,p) angular distribution and photon production 2031 1451 481 for 0th-10th excited state 2031 1451 482 - MT650-655: (n,d) angular distribution and photon production 2031 1451 483 for 0th-5th excited state 2031 1451 484 - MT700-705: (n,t) angular distribution and photon production 2031 1451 485 for 0th-5th excited state 2031 1451 486 - MT750-755: (n,h) angular distribution and photon production 2031 1451 487 for 0th-5th excited state 2031 1451 488 - MT800-810: (n,a) angular distribution and photon production 2031 1451 489 for 0th-10th excited state 2031 1451 490 ----- 2031 1451 491 2031 1451 492 ***** 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 ****2031 1451 493 2031 1451 494 This file has been checked successfully by the BNL checking 2031 1451 495 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2031 1451 496 been processed successfully into an MCNP library by the 2031 1451 497 processing code NJOY99.81 [mac00]. 2031 1451 498 2031 1451 499 *********************** R E F E R E N C E S **********************2031 1451 500 2031 1451 501 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2031 1451 502 (1985). 2031 1451 503 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2031 1451 504 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2031 1451 505 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2031 1451 506 Nucl. Sci. Eng. 141, 1 (2002). 2031 1451 507 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2031 1451 508 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2031 1451 509 (1952). 2031 1451 510 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2031 1451 511 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2031 1451 512 Series on Neutron Physics and Nuclear Data in Science and 2031 1451 513 Technology, eds. A. Michaudon et al., p. 62 (1984). 2031 1451 514 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2031 1451 515 (1965). 2031 1451 516 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2031 1451 517 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2031 1451 518 Nucl. Phys. 21, no. 3, 255 (1975). 2031 1451 519 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2031 1451 520 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2031 1451 521 code with direct reactions, Duke University 2001, 2031 1451 522 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2031 1451 523 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2031 1451 524 (2003). 2031 1451 525 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2031 1451 526 (2004). 2031 1451 527 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2031 1451 528 (2004). 2031 1451 529 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2031 1451 530 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2031 1451 531 pointwise and multigroup neutron and photon cross 2031 1451 532 sections from ENDF/B Data, RSIC PSR-480 (2000). 2031 1451 533 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2031 1451 534 Preequilibrium Reactions, Semmering, Austria, 2031 1451 535 February 10-12 1988, (OECD, Paris 1988), p. 103. 2031 1451 536 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2031 1451 537 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2031 1451 538 Neutron Cross Sections, Vol. I, Neutron Resonance 2031 1451 539 Parameters and Thermal Cross Sections (Academic Press, 2031 1451 540 1981). 2031 1451 541 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2031 1451 542 No. CEA-N-2772, 1994. 2031 1451 543 [rip98] Handbook for calculations of nuclear reaction data: 2031 1451 544 Reference Input Parameter Library, IAEA-TECDOC-1034 2031 1451 545 (1998). 2031 1451 546 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2031 1451 547 S. Benck, J.P. Meulders, and V. Corcalciuc, 2031 1451 548 Journ. Phys. G, November 2003 (2003). 2031 1451 549 2031 1451 550 ************************* C O N T E N T S ************************2031 1451 551 2031 1451 552 ***************** Program LINEAR (VERSION 2007-1) ***************2031 1451 553 For All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 554 Data Linearized Using Energy Dependent Uncertainty 2031 1451 555 Energy Accuracy 2031 1451 556 (eV) (per-cent) 2031 1451 557 ----------- ----------- 2031 1451 558 0.0 .010000000 2031 1451 559 1.00000000 .010000000 2031 1451 560 10.0000000 .100000000 2031 1451 561 2.00000E+9 .100000000 2031 1451 562 ***************** Program RECENT (VERSION 2007-1) ***************2031 1451 563 for All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 564 Data Linearized Using Energy Dependent Uncertainty 2031 1451 565 Energy Accuracy 2031 1451 566 (eV) (per-cent) 2031 1451 567 ----------- ----------- 2031 1451 568 0.0 .010000000 2031 1451 569 1.00000000 .010000000 2031 1451 570 10.0000000 .100000000 2031 1451 571 2.00000E+9 .100000000 2031 1451 572 ***************** Program SIGMA1 (VERSION 2007-1) ***************2031 1451 573 Data Doppler Broadened to 1200.00000 Kelvin 2031 1451 574 for All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 575 Data Linearized Using Energy Dependent Uncertainty 2031 1451 576 Energy Accuracy 2031 1451 577 (eV) (per-cent) 2031 1451 578 ----------- ----------- 2031 1451 579 0.0 .010000000 2031 1451 580 1.00000000 .010000000 2031 1451 581 10.0000000 .100000000 2031 1451 582 2.00000E+9 .100000000 2031 1451 583 ***************** Program SIGMA1 (VERSION 2007-1) ***************2031 1451 584 Data Doppler Broadened to 12000.0000 Kelvin 2031 1451 585 for All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 586 Data Linearized Using Energy Dependent Uncertainty 2031 1451 587 Energy Accuracy 2031 1451 588 (eV) (per-cent) 2031 1451 589 ----------- ----------- 2031 1451 590 0.0 .010000000 2031 1451 591 1.00000000 .010000000 2031 1451 592 10.0000000 .100000000 2031 1451 593 2.00000E+9 .100000000 2031 1451 594 ***************** Program FIXUP (Version 2007-1) ****************2031 1451 595 Corrected ZA/AWR in All Sections-----------------------------Yes 2031 1451 596 Corrected Thresholds-----------------------------------------No 2031 1451 597 Extended Cross Sections to 20 MeV----------------------------No 2031 1451 598 Allow Cross Section Deletion---------------------------------Yes 2031 1451 599 Allow Cross Section Reconstruction---------------------------Yes 2031 1451 600 Make All Cross Sections Non-Negative-------------------------Yes 2031 1451 601 Delete Energies Not in Ascending Order-----------------------Yes 2031 1451 602 Deleted Duplicate Points-------------------------------------Yes 2031 1451 603 Check for Ascending MAT/MF/MT Order--------------------------Yes 2031 1451 604 Check for Legal MF/MT Numbers--------------------------------Yes 2031 1451 605 Allow Creation of Missing Sections---------------------------No 2031 1451 606 Allow Insertion of Energy Points-----------------------------No 2031 1451 607 Create Uniform Energy Grid-----------------------------------No 2031 1451 608 Delete Section if Cross Section =0 at All Energies-----------Yes 2031 1451 609 **************** Program DICTIN (VERSION 2007-1) ****************2031 1451 610 1 451 777 12031 1451 611 2 151 60 12031 1451 612 3 1 3201 12031 1451 613 3 2 952 12031 1451 614 3 4 28 12031 1451 615 3 5 25 12031 1451 616 3 16 8 12031 1451 617 3 22 11 12031 1451 618 3 28 9 12031 1451 619 3 29 6 12031 1451 620 3 32 5 12031 1451 621 3 51 19 12031 1451 622 3 52 19 12031 1451 623 3 53 20 12031 1451 624 3 54 16 12031 1451 625 3 55 17 12031 1451 626 3 56 17 12031 1451 627 3 57 18 12031 1451 628 3 58 17 12031 1451 629 3 59 14 12031 1451 630 3 60 17 12031 1451 631 3 61 17 12031 1451 632 3 62 16 12031 1451 633 3 63 16 12031 1451 634 3 64 16 12031 1451 635 3 65 16 12031 1451 636 3 66 16 12031 1451 637 3 67 16 12031 1451 638 3 68 16 12031 1451 639 3 69 16 12031 1451 640 3 70 16 12031 1451 641 3 91 14 12031 1451 642 3 102 1743 12031 1451 643 3 103 19 12031 1451 644 3 104 11 12031 1451 645 3 105 9 12031 1451 646 3 106 9 12031 1451 647 3 107 636 12031 1451 648 3 108 10 12031 1451 649 3 111 8 12031 1451 650 3 112 8 12031 1451 651 3 115 5 12031 1451 652 3 117 6 12031 1451 653 3 600 17 12031 1451 654 3 601 18 12031 1451 655 3 602 18 12031 1451 656 3 603 17 12031 1451 657 3 604 17 12031 1451 658 3 605 17 12031 1451 659 3 606 17 12031 1451 660 3 607 17 12031 1451 661 3 608 16 12031 1451 662 3 609 16 12031 1451 663 3 610 17 12031 1451 664 3 649 16 12031 1451 665 3 650 10 12031 1451 666 3 651 10 12031 1451 667 3 652 10 12031 1451 668 3 653 9 12031 1451 669 3 654 9 12031 1451 670 3 655 9 12031 1451 671 3 699 8 12031 1451 672 3 700 8 12031 1451 673 3 701 8 12031 1451 674 3 702 7 12031 1451 675 3 703 7 12031 1451 676 3 704 7 12031 1451 677 3 705 7 12031 1451 678 3 749 6 12031 1451 679 3 750 9 12031 1451 680 3 751 8 12031 1451 681 3 752 7 12031 1451 682 3 753 7 12031 1451 683 3 754 7 12031 1451 684 3 755 6 12031 1451 685 3 799 6 12031 1451 686 3 800 201 12031 1451 687 3 801 73 12031 1451 688 3 802 68 12031 1451 689 3 803 66 12031 1451 690 3 804 66 12031 1451 691 3 805 68 12031 1451 692 3 806 66 12031 1451 693 3 807 67 12031 1451 694 3 808 70 12031 1451 695 3 809 68 12031 1451 696 3 810 66 12031 1451 697 3 849 64 12031 1451 698 4 2 1220 12031 1451 699 6 5 8526 12031 1451 700 6 16 353 12031 1451 701 6 22 915 12031 1451 702 6 28 475 12031 1451 703 6 29 142 12031 1451 704 6 32 80 12031 1451 705 6 51 131 12031 1451 706 6 52 120 12031 1451 707 6 53 118 12031 1451 708 6 54 120 12031 1451 709 6 55 107 12031 1451 710 6 56 111 12031 1451 711 6 57 108 12031 1451 712 6 58 112 12031 1451 713 6 59 116 12031 1451 714 6 60 110 12031 1451 715 6 61 106 12031 1451 716 6 62 101 12031 1451 717 6 63 105 12031 1451 718 6 64 107 12031 1451 719 6 65 102 12031 1451 720 6 66 105 12031 1451 721 6 67 103 12031 1451 722 6 68 102 12031 1451 723 6 69 104 12031 1451 724 6 70 101 12031 1451 725 6 91 1164 12031 1451 726 6 102 1226 12031 1451 727 6 108 453 12031 1451 728 6 111 292 12031 1451 729 6 112 421 12031 1451 730 6 115 154 12031 1451 731 6 117 135 12031 1451 732 6 600 59 12031 1451 733 6 601 66 12031 1451 734 6 602 64 12031 1451 735 6 603 68 12031 1451 736 6 604 66 12031 1451 737 6 605 64 12031 1451 738 6 606 66 12031 1451 739 6 607 64 12031 1451 740 6 608 68 12031 1451 741 6 609 70 12031 1451 742 6 610 66 12031 1451 743 6 649 895 12031 1451 744 6 650 41 12031 1451 745 6 651 47 12031 1451 746 6 652 46 12031 1451 747 6 653 46 12031 1451 748 6 654 48 12031 1451 749 6 655 43 12031 1451 750 6 699 342 12031 1451 751 6 700 31 12031 1451 752 6 701 42 12031 1451 753 6 702 42 12031 1451 754 6 703 39 12031 1451 755 6 704 37 12031 1451 756 6 705 39 12031 1451 757 6 749 164 12031 1451 758 6 750 34 12031 1451 759 6 751 42 12031 1451 760 6 752 39 12031 1451 761 6 753 37 12031 1451 762 6 754 35 12031 1451 763 6 755 37 12031 1451 764 6 799 152 12031 1451 765 6 800 73 12031 1451 766 6 801 72 12031 1451 767 6 802 72 12031 1451 768 6 803 70 12031 1451 769 6 804 70 12031 1451 770 6 805 70 12031 1451 771 6 806 72 12031 1451 772 6 807 68 12031 1451 773 6 808 72 12031 1451 774 6 809 68 12031 1451 775 6 810 72 12031 1451 776 6 849 931 12031 1451 777 2031 1 0 778 2031 0 0 779 20042.0000 41.5981800 0 0 1 02031 2151 780 20042.0000 1.00000000 0 0 1 02031 2151 781 1.00000E-5 300000.000 1 2 0 02031 2151 782 0.0 .360000000 0 0 2 02031 2151 783 41.2408000 0.0 0 0 240 402031 2151 784 -4340.00000 .500000000 131.420000 130.000000 1.42000000 0.0 2031 2151 785 9345.00000 .500000000 3.64500000 3.00000000 .645000000 0.0 2031 2151 786 22710.0000 .500000000 20.4350000 20.0000000 .435000000 0.0 2031 2151 787 26290.0000 .500000000 3.68000000 3.00000000 .680000000 0.0 2031 2151 788 37440.0000 .500000000 1001.36000 1000.00000 1.36000000 0.0 2031 2151 789 48240.0000 .500000000 15.6100000 15.0000000 .610000000 0.0 2031 2151 790 58340.0000 .500000000 5.78000000 5.00000000 .780000000 0.0 2031 2151 791 60260.0000 .500000000 20.8000000 20.0000000 .800000000 0.0 2031 2151 792 65170.0000 .500000000 50.3800000 50.0000000 .380000000 0.0 2031 2151 793 82629.9000 .500000000 11.1900000 10.0000000 1.19000000 0.0 2031 2151 794 97899.9000 .500000000 5.98000000 5.00000000 .980000000 0.0 2031 2151 795 117000.000 .500000000 26.5000000 25.0000000 1.50000000 0.0 2031 2151 796 122000.000 .500000000 3751.55000 3750.00000 1.55000000 0.0 2031 2151 797 127000.000 .500000000 11001.5000 11000.0000 1.50000000 0.0 2031 2151 798 132400.000 .500000000 2.47200000 1.41200000 1.06000000 0.0 2031 2151 799 144300.000 .500000000 75.9400000 75.0000000 .940000000 0.0 2031 2151 800 156800.000 .500000000 301.630000 300.000000 1.63000000 0.0 2031 2151 801 174400.000 .500000000 2501.90000 2500.00000 1.90000000 0.0 2031 2151 802 177300.000 .500000000 201.700000 200.000000 1.70000000 0.0 2031 2151 803 186800.000 .500000000 300.560000 300.000000 .560000000 0.0 2031 2151 804 200000.000 .500000000 301.020000 300.000000 1.02000000 0.0 2031 2151 805 211900.000 .500000000 1751.30000 1750.00000 1.30000000 0.0 2031 2151 806 229600.000 .500000000 51.0800000 50.0000000 1.08000000 0.0 2031 2151 807 259500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 808 274500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 809 278500.000 .500000000 1501.06000 1500.00000 1.06000000 0.0 2031 2151 810 356500.000 .500000000 1501.10000 1500.00000 1.10000000 0.0 2031 2151 811 399500.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 812 418000.000 .500000000 401.100000 400.000000 1.10000000 0.0 2031 2151 813 425000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 814 450500.000 .500000000 1751.10000 1750.00000 1.10000000 0.0 2031 2151 815 468500.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 816 478000.000 .500000000 751.100000 750.000000 1.10000000 0.0 2031 2151 817 491500.000 .500000000 1001.10000 1000.00000 1.10000000 0.0 2031 2151 818 513500.000 .500000000 5501.10000 5500.00000 1.10000000 0.0 2031 2151 819 532000.000 .500000000 6501.10000 6500.00000 1.10000000 0.0 2031 2151 820 545500.000 .500000000 2001.10000 2000.00000 1.10000000 0.0 2031 2151 821 555000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 822 560000.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 823 570500.000 .500000000 10001.1000 10000.0000 1.10000000 0.0 2031 2151 824 41.2408000 0.0 1 0 84 142031 2151 825 9143.00000 .500000000 1.56000000 1.00000000 .560000000 0.0 2031 2151 826 36820.0000 1.50000000 1.36000000 1.00000000 .360000000 0.0 2031 2151 827 49870.0000 .500000000 10.3100000 10.0000000 .310000000 0.0 2031 2151 828 83249.9000 1.50000000 2.70000000 2.50000000 .200000000 0.0 2031 2151 829 119100.000 1.50000000 2.95000000 2.50000000 .450000000 0.0 2031 2151 830 126000.000 1.50000000 3.31000000 2.50000000 .810000000 0.0 2031 2151 831 131200.000 .500000000 5.44000000 5.00000000 .440000000 0.0 2031 2151 832 136300.000 .500000000 3.24000000 2.80000000 .440000000 0.0 2031 2151 833 145100.000 1.50000000 10.4700000 10.0000000 .470000000 0.0 2031 2151 834 213700.000 1.50000000 20.2000000 20.0000000 .200000000 0.0 2031 2151 835 221200.000 1.50000000 65.3400000 65.0000000 .340000000 0.0 2031 2151 836 224600.000 .500000000 7.02500000 6.70000000 .325000000 0.0 2031 2151 837 254000.000 .500000000 800.440000 800.000000 .440000000 0.0 2031 2151 838 280500.000 .500000000 750.440000 750.000000 .440000000 0.0 2031 2151 839 2031 2 0 840 2031 0 0 841 20042.0000 41.5981800 0 0 0 02031 3 1 842 0.0 0.0 0 0 1 95942031 3 1 843 9594 2 2031 3 1 844 1.00000E-5 103.104570 1.02999E-5 101.592717 1.05195E-5 100.5336792031 3 1 845 1.06087E-5 100.103505 1.09269E-5 98.6354494 1.10660E-5 98.02144512031 3 1 846 1.12544E-5 97.1898247 1.15920E-5 95.7645798 1.16409E-5 95.56706672031 3 1 847 1.19395E-5 94.3609850 1.22457E-5 93.1777887 1.22976E-5 92.97724042031 3 1 848 1.26662E-5 91.6145165 1.28819E-5 90.8518315 1.30462E-5 90.27088972031 3 1 849 1.34372E-5 88.9480220 1.35511E-5 88.5794364 1.38403E-5 87.64357212031 3 1 850 1.42552E-5 86.3591736 1.46827E-5 85.0928617 1.49957E-5 84.20608742031 3 1 851 1.51229E-5 83.8457114 1.55765E-5 82.6160872 1.57748E-5 82.10190622031 3 1 852 1.60434E-5 81.4054412 1.65246E-5 80.2117080 1.65943E-5 80.04629192031 3 1 853 1.70199E-5 79.0362329 1.74564E-5 78.0453475 1.75304E-5 77.87736232031 3 1 854 1.80559E-5 76.7360184 1.83633E-5 76.0973867 1.85975E-5 75.61082992031 3 1 855 1.91550E-5 74.5027898 1.93174E-5 74.1939949 1.97295E-5 73.41040892031 3 1 856 2.03209E-5 72.3345974 2.09305E-5 71.2739031 2.13767E-5 70.53116972031 3 1 857 2.15579E-5 70.2295487 2.22045E-5 69.1997922 2.24872E-5 68.76912222031 3 1 858 2.28701E-5 68.1858059 2.35561E-5 67.1860085 2.36555E-5 67.04742802031 3 1 859 2.42622E-5 66.2015852 2.48844E-5 65.3716878 2.49899E-5 65.23097072031 3 1 860 2.57390E-5 64.2751543 2.61772E-5 63.7402799 2.65110E-5 63.33283802031 3 1 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.366609300 59870.9344 .361122188 59873.4125 .3595561032031 3 1 1821 59895.5938 .345562955 59914.2813 .333804232 59921.9188 .3290132092031 3 1 1822 59932.9688 .320401737 59942.3125 .313136816 59951.6563 .3058853192031 3 1 1823 59961.0000 .298649618 59962.7063 .297332993 59976.7625 .2846844632031 3 1 1824 59983.1000 .279001991 59984.6438 .277470332 59992.5250 .2696720482031 3 1 1825 60004.2250 .258143280 60004.3469 .258014239 60010.2579 .2517840782031 3 1 1826 60016.1688 .245576418 60022.0797 .239395433 60031.6673 .2294409532031 3 1 1827 60036.2375 .224734574 60040.8079 .220058934 60041.1938 .2196672262031 3 1 1828 60045.3782 .215895095 60049.1157 .212574725 60052.9954 .2097729172031 3 1 1829 60057.0375 .206928563 60059.0891 .205937089 60062.3188 .2044442182031 3 1 1830 60065.1829 .204087747 60070.3219 .203584018 60071.2766 .2038923612031 3 1 1831 60074.4048 .205003649 60077.0900 .206960562 60078.4875 .2080200982031 3 1 1832 60080.3075 .210389340 60083.5250 .214655750 60083.9313 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60158.8032 1.56869006 60163.1744 1.789782442031 3 1 1846 60165.8475 1.93817402 60166.7575 1.98889372 60169.3698 2.145450772031 3 1 1847 60170.3407 2.20379993 60173.4525 2.40299743 60174.0660 2.445867902031 3 1 1848 60180.5782 2.90267169 60183.7713 3.15266368 60188.6463 3.535541902031 3 1 1849 60190.1900 3.66971751 60199.6150 4.49050451 60212.5338 5.683235242031 3 1 1850 60220.3500 6.40337741 60226.3625 6.95567117 60226.3950 6.958645412031 3 1 1851 60232.7000 7.48424215 60238.7775 7.94050413 60242.7100 8.183196712031 3 1 1852 60248.9793 8.56491153 60252.0700 8.69555928 60257.4163 8.917137352031 3 1 1853 60260.0000 8.97186273 60264.9400 9.07335553 60266.8510 9.111693342031 3 1 1854 60269.8800 9.12481281 60270.7348 9.12811571 60274.8200 9.099095342031 3 1 1855 60276.1720 9.08864427 60284.2450 8.89196865 60285.4930 8.860646762031 3 1 1856 60291.2325 8.62730192 60294.8725 8.42734435 60302.0550 8.028500252031 3 1 1857 60308.1000 7.60414908 60314.8925 7.12544142 60328.1850 6.087102502031 3 1 1858 60339.5925 5.19836725 60339.6250 5.19602296 60345.1338 4.800113252031 3 1 1859 60349.1638 4.51120393 60352.1050 4.30105007 60356.8419 4.003129242031 3 1 1860 60362.6025 3.64255909 60363.4232 3.59671283 60367.2988 3.381072172031 3 1 1861 60367.7944 3.35359363 60372.8563 3.09616917 60372.9863 3.089586742031 3 1 1862 60378.1782 2.85030303 60378.4138 2.84048392 60383.3700 2.634953382031 3 1 1863 60383.9713 2.61254550 60386.7500 2.50940027 60388.5619 2.442313282031 3 1 1864 60389.7056 2.40447710 60392.6610 2.30697791 60393.7538 2.271021172031 3 1 1865 60395.6165 2.21652673 60398.5719 2.13030594 60398.9457 2.119429262031 3 1 1866 60401.5274 2.05290942 60404.1375 1.98584384 60404.4829 1.978356722031 3 1 1867 60407.4384 1.91448711 60410.3938 1.85080099 60413.1888 1.790729682031 3 1 1868 60413.3493 1.78795133 60418.2750 1.70302059 60421.7038 1.644159732031 3 1 1869 60423.2719 1.62289565 60428.2688 1.55546271 60432.3475 1.500648022031 3 1 1870 60433.2657 1.49063967 60438.2625 1.43641007 60438.7338 1.431313792031 3 1 1871 60443.2594 1.39208633 60448.2563 1.34893939 60451.5063 1.320956282031 3 1 1872 60452.0040 1.31777531 60458.2500 1.27800083 60464.8313 1.236251892031 3 1 1873 60466.4075 1.22628416 60471.4125 1.20285338 60474.7032 1.187487502031 3 1 1874 60479.6391 1.16448043 60483.4375 1.14680776 60484.5750 1.142648352031 3 1 1875 60489.5110 1.12463449 60496.2100 1.10024388 60499.3829 1.091241802031 3 1 1876 60509.2547 1.06332003 60520.9548 1.03030849 60521.7550 1.028055282031 3 1 1877 60533.0204 1.00308646 60538.7850 .990336268 60547.0969 .9749501682031 3 1 1878 60559.4469 .952138123 60563.1844 .946416142 60580.0438 .9206596942031 3 1 1879 60583.7407 .915019452 60589.6313 .908087393 60608.8063 .8855562402031 3 1 1880 60627.9813 .863061405 60632.3282 .857968321 60647.1563 .8446656982031 3 1 1881 60668.7688 .825304487 60670.9625 .823817371 60696.3125 .8066615082031 3 1 1882 60721.6625 .789528722 60741.6500 .776034396 60747.0125 .7735095172031 3 1 1883 60762.6532 .766152583 60781.2594 .757406889 60799.8657 .7486668952031 3 1 1884 60818.4719 .739931897 60838.8250 .730383518 60855.6844 .7245100432031 3 1 1885 60892.8969 .711559091 60911.7063 .705017171 60915.3625 .7040532252031 3 1 1886 60941.6875 .697116767 60968.0125 .690184058 60994.3375 .6832545582031 3 1 1887 61042.6000 .670557730 61046.9875 .669756533 61099.6375 .6601505202031 3 1 1888 61135.2250 .653661294 61202.5000 .641400420 61255.8000 .6316916552031 3 1 1889 61269.7750 .629935267 61314.6250 .624301290 61359.4750 .6186691432031 3 1 1890 61449.1750 .607409320 61541.5975 .595812532 61566.1263 .5927358242031 3 1 1891 61658.2600 .583704612 61728.2575 .576845327 61769.8526 .5727699902031 3 1 1892 61798.2550 .570417085 61874.0460 .564139559 61961.4238 .5569035902031 3 1 1893 62136.1794 .542434866 62213.6379 .536023167 62310.9350 .5283999192031 3 1 1894 62506.1575 .513107138 62701.3800 .497816974 62902.9000 .4820362582031 3 1 1895 63104.4200 .466258326 63208.3288 .458124124 63217.7750 .4573847912031 3 1 1896 63390.1691 .441176977 63482.2700 .432520067 63543.6707 .4254891162031 3 1 1897 63685.3644 .409267734 63756.2113 .401158890 63793.9963 .3968350252031 3 1 1898 63827.0582 .392003750 63920.3399 .378375687 64010.0793 .3652693112031 3 1 1899 64011.2600 .365096921 64054.9490 .357397944 64099.8187 .3494925062031 3 1 1900 64124.6150 .345125268 64178.3407 .334301080 64209.6313 .3279998502031 3 1 1901 64245.6451 .319727118 64294.6475 .308475826 64300.6991 .3068922002031 3 1 1902 64359.1478 .291604302 64370.0208 .288761683 64388.3721 .2833660272031 3 1 1903 64417.5965 .274776358 64426.1079 .272275662 64446.8208 .2652404172031 3 1 1904 64490.6573 .250358780 64519.5864 .240544962 64528.6391 .2368911602031 3 1 1905 64566.6209 .221572224 64594.3692 .210391186 64604.6027 .2057343272031 3 1 1906 64623.5936 .197099064 64631.7606 .193388771 64656.1634 .1810264392031 3 1 1907 64683.3214 .167283974 64694.4405 .161664942 64710.4794 .1525294842031 3 1 1908 64737.6374 .137084104 64753.0859 .128314537 64762.2370 .1227572652031 3 1 1909 64784.2782 .109399322 64806.3195 .096074677 64817.3401 .0894279862031 3 1 1910 64822.3584 .086407088 64828.3607 .082958396 64838.7417 .0770076172031 3 1 1911 64839.3813 .076674916 64857.4079 .067336245 64857.6834 .0671941832031 3 1 1912 64865.3585 .063738272 64866.4212 .063341384 64875.4345 .0599927092031 3 1 1913 64878.1503 .058989904 64884.4478 .057420494 64888.3838 .0564532592031 3 1 1914 64893.5005 .055744401 64897.9678 .055578229 64899.9161 .0555131422031 3 1 1915 64903.7733 .055794874 64904.7278 .055990799 64910.5234 .0572072972031 3 1 1916 64916.3092 .059504734 64917.5688 .060271317 64922.0950 .0630505222031 3 1 1917 64923.6498 .064294710 64924.9879 .065371171 64927.8809 .0681070902031 3 1 1918 64929.7308 .070144726 64930.7738 .071298724 64933.6667 .0749967282031 3 1 1919 64935.8118 .078145742 64936.5596 .079247825 64939.4525 .0841170772031 3 1 1920 64941.8929 .088788888 64942.3454 .089659067 64944.7168 .0947667822031 3 1 1921 64947.0882 .100412477 64949.4596 .106641585 64951.0144 .1111404422031 3 1 1922 64951.8310 .113513880 64954.2024 .121092152 64956.5738 .1294137832031 3 1 1923 64958.9452 .138540909 64960.1359 .143561823 64961.3166 .1485553052031 3 1 1924 64963.6487 .159339371 64965.2723 .167534783 64965.9807 .1711202622031 3 1 1925 64968.3128 .183990926 64970.6448 .198013182 64972.9769 .2132794662031 3 1 1926 64975.3089 .229932181 64977.6410 .248030887 64979.9730 .2676852242031 3 1 1927 64980.6815 .274202671 64982.6298 .292172177 64985.2866 .3190372762031 3 1 1928 64987.9433 .348462187 64988.3861 .353828917 64990.6001 .3807099702031 3 1 1929 64992.2384 .402452174 64993.2569 .415985398 64995.9136 .4545288262031 3 1 1930 64996.0907 .457331396 64998.5704 .496637163 65001.2271 .5425166402031 3 1 1931 65003.2934 .581351901 65003.8839 .592467961 65006.5406 .6468300392031 3 1 1932 65007.4262 .666505410 65009.1973 .705897659 65011.5589 .7628564882031 3 1 1933 65011.8541 .769984289 65014.5109 .839458926 65015.6917 .8728579772031 3 1 1934 65017.1676 .914647089 65019.8244 .995905131 65022.4811 1.083644642031 3 1 1935 65023.9572 1.13615907 65025.1379 1.17820425 65028.0899 1.295470422031 3 1 1936 65030.4514 1.38936494 65032.2226 1.47036084 65035.7650 1.632480082031 3 1 1937 65035.8387 1.63633524 65040.4881 1.87972812 65041.0785 1.910663372031 3 1 1938 65045.1375 2.15214089 65046.3920 2.22683601 65049.7868 2.456268542031 3 1 1939 65052.2959 2.62597149 65054.4361 2.78994124 65058.1998 3.078576562031 3 1 1940 65063.0559 3.49653595 65064.1037 3.58680128 65068.3497 3.988240482031 3 1 1941 65068.5316 4.00544879 65072.9596 4.45637045 65073.6435 4.530903572031 3 1 1942 65077.3875 4.93916227 65080.2607 5.28195056 65086.2433 5.996063612031 3 1 1943 65086.7551 6.06246807 65092.0685 6.75215318 65095.4141 7.221640432031 3 1 1944 65105.3327 8.61377468 65122.3752 11.1264163 65125.4453 11.57865252031 3 1 1945 65133.8682 12.7586886 65134.1358 12.7930674 65141.8385 13.78123102031 3 1 1946 65145.0934 14.1325181 65150.6037 14.7262722 65153.2920 15.01558972031 3 1 1947 65156.1455 15.2430765 65161.6873 15.6840900 65162.4982 15.74846922031 3 1 1948 65170.0000 16.1184578 65172.2278 16.2278929 65176.0221 16.28442022031 3 1 1949 65182.0441 16.3731491 65182.5479 16.3804929 65188.0661 16.30698792031 3 1 1950 65188.4636 16.3016347 65194.0880 16.1157705 65194.3793 16.10608992031 3 1 1951 65200.2950 15.8005777 65205.6990 15.4305465 65206.2107 15.39542672031 3 1 1952 65212.8624 14.7936796 65218.6089 14.2733181 65220.0258 14.11387762031 3 1 1953 65232.4240 12.7177987 65247.6168 10.8491009 65257.2598 9.663678982031 3 1 1954 65260.8415 9.24513430 65266.3518 8.60179482 65270.7798 8.117148142031 3 1 1955 65273.4366 7.82657359 65275.9359 7.57938871 65281.0919 7.069749802031 3 1 1956 65285.2443 6.65953096 65285.3034 6.65445119 65290.2036 6.233520662031 3 1 1957 65294.6906 5.84832707 65295.1038 5.81761290 65301.6375 5.332343722031 3 1 1958 65304.1368 5.14687991 65308.1711 4.88304626 65309.7456 4.780152322031 3 1 1959 65311.7725 4.66021076 65315.3543 4.44837623 65315.7085 4.429477322031 3 1 1960 65319.6444 4.21959846 65320.9630 4.14932503 65323.5804 4.023856062031 3 1 1961 65326.5717 3.88054781 65327.5163 3.83993234 65331.4523 3.670796632031 3 1 1962 65332.1804 3.63952659 65335.3882 3.51606999 65337.7891 3.423741832031 3 1 1963 65342.6893 3.25500382 65343.3978 3.23062648 65346.8811 3.128893122031 3 1 1964 65351.0729 3.00654269 65354.6153 2.90320444 65355.2647 2.887142962031 3 1 1965 65359.4565 2.78352920 65360.2239 2.76457050 65363.6482 2.689511992031 3 1 1966 65367.2250 2.61117151 65372.0318 2.52343191 65380.2726 2.373165772031 3 1 1967 65380.4153 2.37108933 65389.5860 2.23778855 65393.3203 2.183547812031 3 1 1968 65394.9586 2.16374295 65400.3311 2.09883144 65403.1060 2.065327012031 3 1 1969 65411.0762 1.98208152 65412.8917 1.96313497 65421.8213 1.886506622031 3 1 1970 65428.9847 1.82507525 65432.4632 1.79525753 65436.1481 1.770712882031 3 1 1971 65449.8059 1.67980036 65455.2965 1.64327875 65464.9593 1.590186762031 3 1 1972 65468.3441 1.57159962 65473.6183 1.54778423 65490.9364 1.469631542031 3 1 1973 65497.7653 1.43883362 65508.2545 1.39968953 65512.4759 1.383943372031 3 1 1974 65517.9369 1.36624987 65528.6427 1.33157532 65534.5417 1.312477952031 3 1 1975 65550.0542 1.26956847 65556.6076 1.25145125 65571.4657 1.218168012031 3 1 1976 65592.8772 1.17023089 65600.7393 1.15263707 65618.3033 1.120940422031 3 1 1977 65630.1605 1.09955330 65645.0677 1.07804458 65671.8321 1.039447372031 3 1 1978 65689.0027 1.01469643 65705.2875 .996084246 65724.1800 .9745000962031 3 1 1979 65730.1824 .967644124 65743.0725 .956072028 65780.8575 .9221630792031 3 1 1980 65809.5899 .896388305 65818.6425 .889981640 65856.4275 .8632510252031 3 1 1981 65862.5283 .858936201 65881.2240 .848542580 65930.8168 .8209808732031 3 1 1982 65968.4050 .800097904 65980.4096 .794936886 66030.0024 .7736231562031 3 1 1983 66047.8125 .765971092 66093.3710 .749731039 66127.2200 .7376680912031 3 1 1984 66131.9432 .736352291 66170.5154 .725608904 66247.6598 .7041273862031 3 1 1985 66283.0832 .694265957 66324.8042 .685733587 66414.1499 .6674665352031 3 1 1986 66490.9007 .651778233 66515.6971 .647911867 66617.2443 .6320820262031 3 1 1987 66653.0613 .626499557 66693.4047 .621754263 66769.5650 .6127974082031 3 1 1988 66847.4966 .603633343 66977.3825 .588361907 66983.6800 .5876215612031 3 1 1989 67081.2913 .578671629 67172.6050 .570299953 67185.2000 .5693421652031 3 1 1990 67298.5550 .560722980 67487.4800 .546359499 67525.2650 .5440189952031 3 1 1991 67827.5450 .525298015 67852.7350 .523738097 68016.4700 .5152460592031 3 1 1992 68217.9900 .504795364 68419.5100 .495852204 68696.6000 .4835564732031 3 1 1993 68979.0343 .473487351 69382.8399 .459091964 69746.9539 .4461121702031 3 1 1994 69908.7824 .440343582 70232.4394 .431056110 71041.5817 .4078384812031 3 1 1995 71365.2386 .398551760 71688.8955 .390326438 72498.0379 .3697637612031 3 1 1996 72740.7806 .364100558 73954.4940 .335785716 74601.8079 .3216196762031 3 1 1997 75572.7786 .300371316 77191.0633 .266911422 78162.0340 .2468366252031 3 1 1998 78647.5195 .236799858 79133.0048 .226763707 79474.5535 .2197037182031 3 1 1999 79816.1021 .212644487 79897.7461 .210957261 80031.7664 .2079953362031 3 1 2000 80247.4306 .203229717 80449.6159 .198762766 80584.4060 .1957853832031 3 1 2001 80678.7590 .193701951 80845.0003 .189591168 80961.8184 .1867037632031 3 1 2002 81110.0875 .183040795 81137.0455 .182270343 81224.6591 .1797677172031 3 1 2003 81361.6957 .175855943 81424.5978 .174062164 81469.5278 .1724689852031 3 1 2004 81523.4439 .170558597 81617.7970 .167218488 81658.2340 .1657885322031 3 1 2005 81703.1480 .164201620 81735.2711 .163068310 81774.9719 .1611529552031 3 1 2006 81810.8839 .159422568 81846.7958 .157694017 81900.6637 .1551054672031 3 1 2007 81927.5977 .153813563 81948.7136 .152802247 81954.5316 .1524342102031 3 1 2008 82002.3858 .149412934 82040.1890 .147033260 82042.2502 .1468635032031 3 1 2009 82062.1824 .145225154 82082.1146 .143589415 82102.0468 .1419567192031 3 1 2010 82121.9790 .140327601 82152.9263 .137806868 82159.6578 .1372613512031 3 1 2011 82180.9013 .134882929 82194.8888 .133322069 82208.8763 .1317653772031 3 1 2012 82222.8638 .130213533 82236.8513 .128667366 82237.6382 .1285808982031 3 1 2013 82259.5810 .125518886 82270.0716 .124062584 82276.6283 .1231560582031 3 1 2014 82280.5622 .122517806 82298.9209 .119556607 82305.8710 .1184457152031 3 1 2015 82314.6568 .116756715 82327.7700 .114258156 82335.4632 .1128049622031 3 1 2016 82347.0029 .110648888 82352.7727 .109584646 82358.5425 .1085322262031 3 1 2017 82368.1590 .106811975 82375.8521 .105476247 82379.6987 .1048258952031 3 1 2018 82383.5452 .104189746 82387.3918 .103570040 82388.7251 .1033646132031 3 1 2019 82394.0358 .102944549 82398.4726 .102641412 82400.3302 .1026538592031 3 1 2020 82403.4774 .102705248 82405.7832 .102760214 82406.6246 .1028621552031 3 1 2021 82409.7718 .103270044 82412.9190 .103707793 82413.0938 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