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 3 300.000000 0.0 1 0 595 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 300.000000 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 FIXUP (Version 2007-1) ****************2031 1451 584 Corrected ZA/AWR in All Sections-----------------------------Yes 2031 1451 585 Corrected Thresholds-----------------------------------------No 2031 1451 586 Extended Cross Sections to 20 MeV----------------------------No 2031 1451 587 Allow Cross Section Deletion---------------------------------Yes 2031 1451 588 Allow Cross Section Reconstruction---------------------------Yes 2031 1451 589 Make All Cross Sections Non-Negative-------------------------Yes 2031 1451 590 Delete Energies Not in Ascending Order-----------------------Yes 2031 1451 591 Deleted Duplicate Points-------------------------------------Yes 2031 1451 592 Check for Ascending MAT/MF/MT Order--------------------------Yes 2031 1451 593 Check for Legal MF/MT Numbers--------------------------------Yes 2031 1451 594 Allow Creation of Missing Sections---------------------------No 2031 1451 595 Allow Insertion of Energy Points-----------------------------No 2031 1451 596 Create Uniform Energy Grid-----------------------------------No 2031 1451 597 Delete Section if Cross Section =0 at All Energies-----------Yes 2031 1451 598 **************** Program DICTIN (VERSION 2007-1) ****************2031 1451 599 1 451 766 12031 1451 600 2 151 60 12031 1451 601 3 1 5207 12031 1451 602 3 2 1719 12031 1451 603 3 4 28 12031 1451 604 3 5 26 12031 1451 605 3 16 8 12031 1451 606 3 22 11 12031 1451 607 3 28 9 12031 1451 608 3 29 6 12031 1451 609 3 32 5 12031 1451 610 3 51 20 12031 1451 611 3 52 19 12031 1451 612 3 53 20 12031 1451 613 3 54 18 12031 1451 614 3 55 17 12031 1451 615 3 56 18 12031 1451 616 3 57 18 12031 1451 617 3 58 17 12031 1451 618 3 59 15 12031 1451 619 3 60 17 12031 1451 620 3 61 17 12031 1451 621 3 62 16 12031 1451 622 3 63 17 12031 1451 623 3 64 17 12031 1451 624 3 65 16 12031 1451 625 3 66 16 12031 1451 626 3 67 16 12031 1451 627 3 68 16 12031 1451 628 3 69 16 12031 1451 629 3 70 16 12031 1451 630 3 91 15 12031 1451 631 3 102 2969 12031 1451 632 3 103 19 12031 1451 633 3 104 11 12031 1451 634 3 105 9 12031 1451 635 3 106 9 12031 1451 636 3 107 821 12031 1451 637 3 108 10 12031 1451 638 3 111 8 12031 1451 639 3 112 8 12031 1451 640 3 115 5 12031 1451 641 3 117 6 12031 1451 642 3 600 18 12031 1451 643 3 601 18 12031 1451 644 3 602 18 12031 1451 645 3 603 18 12031 1451 646 3 604 18 12031 1451 647 3 605 17 12031 1451 648 3 606 17 12031 1451 649 3 607 18 12031 1451 650 3 608 17 12031 1451 651 3 609 17 12031 1451 652 3 610 17 12031 1451 653 3 649 16 12031 1451 654 3 650 10 12031 1451 655 3 651 10 12031 1451 656 3 652 10 12031 1451 657 3 653 9 12031 1451 658 3 654 9 12031 1451 659 3 655 9 12031 1451 660 3 699 8 12031 1451 661 3 700 8 12031 1451 662 3 701 8 12031 1451 663 3 702 7 12031 1451 664 3 703 7 12031 1451 665 3 704 7 12031 1451 666 3 705 7 12031 1451 667 3 749 6 12031 1451 668 3 750 9 12031 1451 669 3 751 8 12031 1451 670 3 752 7 12031 1451 671 3 753 7 12031 1451 672 3 754 7 12031 1451 673 3 755 6 12031 1451 674 3 799 6 12031 1451 675 3 800 240 12031 1451 676 3 801 95 12031 1451 677 3 802 93 12031 1451 678 3 803 91 12031 1451 679 3 804 92 12031 1451 680 3 805 89 12031 1451 681 3 806 93 12031 1451 682 3 807 96 12031 1451 683 3 808 97 12031 1451 684 3 809 92 12031 1451 685 3 810 92 12031 1451 686 3 849 90 12031 1451 687 4 2 1220 12031 1451 688 6 5 8526 12031 1451 689 6 16 353 12031 1451 690 6 22 915 12031 1451 691 6 28 475 12031 1451 692 6 29 142 12031 1451 693 6 32 80 12031 1451 694 6 51 131 12031 1451 695 6 52 120 12031 1451 696 6 53 118 12031 1451 697 6 54 120 12031 1451 698 6 55 107 12031 1451 699 6 56 111 12031 1451 700 6 57 108 12031 1451 701 6 58 112 12031 1451 702 6 59 116 12031 1451 703 6 60 110 12031 1451 704 6 61 106 12031 1451 705 6 62 101 12031 1451 706 6 63 105 12031 1451 707 6 64 107 12031 1451 708 6 65 102 12031 1451 709 6 66 105 12031 1451 710 6 67 103 12031 1451 711 6 68 102 12031 1451 712 6 69 104 12031 1451 713 6 70 101 12031 1451 714 6 91 1164 12031 1451 715 6 102 1226 12031 1451 716 6 108 453 12031 1451 717 6 111 292 12031 1451 718 6 112 421 12031 1451 719 6 115 154 12031 1451 720 6 117 135 12031 1451 721 6 600 59 12031 1451 722 6 601 66 12031 1451 723 6 602 64 12031 1451 724 6 603 68 12031 1451 725 6 604 66 12031 1451 726 6 605 64 12031 1451 727 6 606 66 12031 1451 728 6 607 64 12031 1451 729 6 608 68 12031 1451 730 6 609 70 12031 1451 731 6 610 66 12031 1451 732 6 649 895 12031 1451 733 6 650 41 12031 1451 734 6 651 47 12031 1451 735 6 652 46 12031 1451 736 6 653 46 12031 1451 737 6 654 48 12031 1451 738 6 655 43 12031 1451 739 6 699 342 12031 1451 740 6 700 31 12031 1451 741 6 701 42 12031 1451 742 6 702 42 12031 1451 743 6 703 39 12031 1451 744 6 704 37 12031 1451 745 6 705 39 12031 1451 746 6 749 164 12031 1451 747 6 750 34 12031 1451 748 6 751 42 12031 1451 749 6 752 39 12031 1451 750 6 753 37 12031 1451 751 6 754 35 12031 1451 752 6 755 37 12031 1451 753 6 799 152 12031 1451 754 6 800 73 12031 1451 755 6 801 72 12031 1451 756 6 802 72 12031 1451 757 6 803 70 12031 1451 758 6 804 70 12031 1451 759 6 805 70 12031 1451 760 6 806 72 12031 1451 761 6 807 68 12031 1451 762 6 808 72 12031 1451 763 6 809 68 12031 1451 764 6 810 72 12031 1451 765 6 849 931 12031 1451 766 2031 1 0 767 2031 0 0 768 20042.0000 41.5981800 0 0 1 02031 2151 769 20042.0000 1.00000000 0 0 1 02031 2151 770 1.00000E-5 300000.000 1 2 0 02031 2151 771 0.0 .360000000 0 0 2 02031 2151 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127000.000 .500000000 11001.5000 11000.0000 1.50000000 0.0 2031 2151 787 132400.000 .500000000 2.47200000 1.41200000 1.06000000 0.0 2031 2151 788 144300.000 .500000000 75.9400000 75.0000000 .940000000 0.0 2031 2151 789 156800.000 .500000000 301.630000 300.000000 1.63000000 0.0 2031 2151 790 174400.000 .500000000 2501.90000 2500.00000 1.90000000 0.0 2031 2151 791 177300.000 .500000000 201.700000 200.000000 1.70000000 0.0 2031 2151 792 186800.000 .500000000 300.560000 300.000000 .560000000 0.0 2031 2151 793 200000.000 .500000000 301.020000 300.000000 1.02000000 0.0 2031 2151 794 211900.000 .500000000 1751.30000 1750.00000 1.30000000 0.0 2031 2151 795 229600.000 .500000000 51.0800000 50.0000000 1.08000000 0.0 2031 2151 796 259500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 797 274500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 798 278500.000 .500000000 1501.06000 1500.00000 1.06000000 0.0 2031 2151 799 356500.000 .500000000 1501.10000 1500.00000 1.10000000 0.0 2031 2151 800 399500.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 801 418000.000 .500000000 401.100000 400.000000 1.10000000 0.0 2031 2151 802 425000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 803 450500.000 .500000000 1751.10000 1750.00000 1.10000000 0.0 2031 2151 804 468500.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 805 478000.000 .500000000 751.100000 750.000000 1.10000000 0.0 2031 2151 806 491500.000 .500000000 1001.10000 1000.00000 1.10000000 0.0 2031 2151 807 513500.000 .500000000 5501.10000 5500.00000 1.10000000 0.0 2031 2151 808 532000.000 .500000000 6501.10000 6500.00000 1.10000000 0.0 2031 2151 809 545500.000 .500000000 2001.10000 2000.00000 1.10000000 0.0 2031 2151 810 555000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 811 560000.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 812 570500.000 .500000000 10001.1000 10000.0000 1.10000000 0.0 2031 2151 813 41.2408000 0.0 1 0 84 142031 2151 814 9143.00000 .500000000 1.56000000 1.00000000 .560000000 0.0 2031 2151 815 36820.0000 1.50000000 1.36000000 1.00000000 .360000000 0.0 2031 2151 816 49870.0000 .500000000 10.3100000 10.0000000 .310000000 0.0 2031 2151 817 83249.9000 1.50000000 2.70000000 2.50000000 .200000000 0.0 2031 2151 818 119100.000 1.50000000 2.95000000 2.50000000 .450000000 0.0 2031 2151 819 126000.000 1.50000000 3.31000000 2.50000000 .810000000 0.0 2031 2151 820 131200.000 .500000000 5.44000000 5.00000000 .440000000 0.0 2031 2151 821 136300.000 .500000000 3.24000000 2.80000000 .440000000 0.0 2031 2151 822 145100.000 1.50000000 10.4700000 10.0000000 .470000000 0.0 2031 2151 823 213700.000 1.50000000 20.2000000 20.0000000 .200000000 0.0 2031 2151 824 221200.000 1.50000000 65.3400000 65.0000000 .340000000 0.0 2031 2151 825 224600.000 .500000000 7.02500000 6.70000000 .325000000 0.0 2031 2151 826 254000.000 .500000000 800.440000 800.000000 .440000000 0.0 2031 2151 827 280500.000 .500000000 750.440000 750.000000 .440000000 0.0 2031 2151 828 2031 2 0 829 2031 0 0 830 20042.0000 41.5981800 0 0 0 02031 3 1 831 0.0 0.0 0 0 1 156102031 3 1 832 15610 2 2031 3 1 833 1.00000E-5 45.2810230 1.02565E-5 44.7145062 1.02999E-5 44.61865112031 3 1 834 1.05195E-5 44.1546830 1.06087E-5 43.9662224 1.07893E-5 43.60119922031 3 1 835 1.09269E-5 43.3230862 1.10660E-5 43.0541091 1.12544E-5 42.68980092031 3 1 836 1.13498E-5 42.5133751 1.15920E-5 42.0654682 1.16409E-5 41.97895052031 3 1 837 1.19395E-5 41.4506443 1.22457E-5 40.9323843 1.22976E-5 40.84454082031 3 1 838 1.25598E-5 40.4199630 1.26662E-5 40.2476706 1.28819E-5 39.91363092031 3 1 839 1.30462E-5 39.6591909 1.32123E-5 39.4130736 1.34372E-5 39.07982982031 3 1 840 1.35511E-5 38.9184121 1.38403E-5 38.5085616 1.38987E-5 38.42939162031 3 1 841 1.42552E-5 37.9461021 1.46208E-5 37.4718813 1.46827E-5 37.39159072031 3 1 842 1.49957E-5 37.0032967 1.51229E-5 36.8454980 1.53803E-5 36.53998302031 3 1 843 1.55765E-5 36.3071080 1.57748E-5 36.0819865 1.60434E-5 35.77705652031 3 1 844 1.61794E-5 35.6293509 1.65246E-5 35.2544392 1.65943E-5 35.18202402031 3 1 845 1.70199E-5 34.7398449 1.74564E-5 34.3060851 1.75304E-5 34.23254972031 3 1 846 1.79042E-5 33.8771785 1.80559E-5 33.7329575 1.83633E-5 33.45343142031 3 1 847 1.85975E-5 33.2404678 1.88343E-5 33.0344826 1.91550E-5 32.75551542031 3 1 848 1.93174E-5 32.6203751 1.97295E-5 32.2774484 1.98128E-5 32.21113752031 3 1 849 2.03209E-5 31.8066650 2.08421E-5 31.4098357 2.09305E-5 31.34253012031 3 1 850 2.13767E-5 31.0175509 2.15579E-5 30.8855781 2.19249E-5 30.62986392031 3 1 851 2.22045E-5 30.4350473 2.24872E-5 30.2466386 2.28701E-5 29.99145042031 3 1 852 2.30640E-5 29.8678307 2.35561E-5 29.5540955 2.36555E-5 29.49347932031 3 1 853 2.42622E-5 29.1235010 2.48844E-5 28.7605280 2.49899E-5 28.69898252031 3 1 854 2.55226E-5 28.4017271 2.57390E-5 28.2809723 2.61772E-5 28.04707492031 3 1 855 2.65110E-5 27.8689029 2.68486E-5 27.6965241 2.73057E-5 27.46312842031 3 1 856 2.75372E-5 27.3500674 2.81247E-5 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31066.0939 .028310487 31160.0447 .0256076572031 3 1 1829 31253.9956 .023100027 31285.3126 .022264851 31347.9465 .0207138742031 3 1 1830 31410.5804 .019249592 31473.2143 .017877778 31535.8483 .0166062332031 3 1 1831 31614.1407 .015164590 31661.1161 .014383364 31692.4331 .0139092592031 3 1 1832 31708.0916 .013672680 31755.0670 .013030722 31802.0425 .0124659542031 3 1 1833 31849.0179 .011975885 31895.9934 .011570881 31911.6518 .0114688882031 3 1 1834 31958.6273 .011164463 31989.9442 .011021920 32021.2612 .0109214312031 3 1 1835 32083.8952 .010847960 32107.3829 .010878519 32119.1268 .0108942032031 3 1 1836 32146.5291 .010970016 32177.8461 .011102806 32209.1631 .0112867862031 3 1 1837 32240.4801 .011523672 32271.7970 .011815238 32287.4555 .0119892812031 3 1 1838 32303.1140 .012163933 32334.4310 .012571663 32365.7480 .0130397912031 3 1 1839 32397.0649 .013570358 32428.3819 .014165488 32459.6988 .0148273702031 3 1 1840 32475.3573 .015192828 32491.0158 .015558938 32522.3327 .0163625432031 3 1 1841 32553.6497 .017239988 32584.9667 .018193802 32616.2837 .0192266192031 3 1 1842 32631.9421 .019783888 32647.6006 .020341839 32678.9176 .0215423012031 3 1 1843 32710.2345 .022830258 32741.5515 .024208768 32788.5269 .0264898502031 3 1 1844 32804.1854 .027250983 32866.8194 .030697300 32898.1363 .0325800732031 3 1 1845 32945.1117 .035609253 32992.0872 .038915913 33039.0626 .0424903152031 3 1 1846 33086.0381 .046370304 33101.6966 .047762948 33133.0135 .0505502482031 3 1 1847 33179.9890 .055071398 33226.9644 .059924499 33258.2813 .0634127052031 3 1 1848 33273.9398 .065157981 33320.9153 .070764185 33367.8908 .0767937152031 3 1 1849 33414.8662 .083237072 33461.8416 .090157331 33508.8170 .0975407222031 3 1 1850 33540.1340 .102816326 33555.7925 .105455352 33602.7680 .1138915952031 3 1 1851 33649.7434 .122922353 33665.4019 .126126951 33696.7188 .1325389032031 3 1 1852 33743.6943 .142825014 33790.6697 .153767063 33837.6452 .1654662382031 3 1 1853 33884.6206 .177904911 33915.9376 .186763336 33931.5961 .1911944372031 3 1 1854 33986.0603 .207696782 34048.0134 .228291102 34071.1607 .2359886622031 3 1 1855 34117.4554 .252811140 34163.7500 .270715292 34210.0447 .2897785942031 3 1 1856 34256.3393 .310070390 34279.4867 .320871609 34302.6340 .3316764562031 3 1 1857 34348.9286 .354685144 34395.2233 .379188341 34441.5179 .4052968812031 3 1 1858 34487.8126 .433114608 34534.1073 .462769988 34580.4019 .4943859742031 3 1 1859 34626.6965 .528113315 34672.9911 .564097275 34719.2858 .6025153732031 3 1 1860 34765.5804 .643539713 34811.8751 .687380346 34858.1697 .7342423022031 3 1 1861 34904.4644 .784375213 34950.7590 .838024508 34997.0537 .8954883622031 3 1 1862 35043.3483 .957062055 35089.6430 1.02310175 35112.7903 1.058534142031 3 1 1863 35135.9376 1.09397323 35182.2323 1.17008910 35228.5269 1.251913832031 3 1 1864 35251.6743 1.29592342 35274.8216 1.33994123 35321.1162 1.434725972031 3 1 1865 35367.4108 1.53689609 35390.5581 1.59200423 35413.7054 1.647122542031 3 1 1866 35453.8527 1.75164745 35473.9264 1.80392118 35528.0000 1.958647212031 3 1 1867 35579.0000 2.11896330 35596.0000 2.17716649 35630.0000 2.293596762031 3 1 1868 35664.0000 2.42157390 35681.0000 2.48557610 35732.0000 2.695336662031 3 1 1869 35783.0000 2.92674625 35800.0000 3.01289164 35851.0000 3.271375382031 3 1 1870 35902.0000 3.56611979 35919.0000 3.66438542 35953.0000 3.889243092031 3 1 1871 35987.0000 4.11413676 36004.0000 4.23874546 36021.0000 4.363376142031 3 1 1872 36055.0000 4.63074735 36089.0000 4.91787728 36106.0000 5.076845792031 3 1 1873 36151.9000 5.50613064 36196.6440 5.97693274 36226.0880 6.317938082031 3 1 1874 36238.5660 6.46248337 36276.0000 6.93664146 36330.4000 7.716285612031 3 1 1875 36344.0000 7.91123296 36371.2000 8.35428183 36384.8000 8.575838142031 3 1 1876 36414.9920 9.11110182 36445.1840 9.68684863 36460.6880 10.00527442031 3 1 1877 36476.1920 10.3237685 36507.2000 11.0137439 36524.2000 11.42355432031 3 1 1878 36541.2000 11.8334449 36558.2000 12.2810460 36575.2000 12.72870912031 3 1 1879 36589.4120 13.1339654 36603.6240 13.5392794 36617.8360 13.98243012031 3 1 1880 36644.3560 14.8094699 36668.9720 15.6598104 36681.2800 16.08506942031 3 1 1881 36693.5200 16.5513784 36711.8800 17.2510219 36718.0000 17.48430252031 3 1 1882 36724.1200 17.7392414 36734.6600 18.1784416 36743.5000 18.54695322031 3 1 1883 36747.9200 18.7313165 36752.3400 18.9311699 36758.9700 19.23117122031 3 1 1884 36763.3900 19.4313315 36767.8100 19.6316750 36772.2300 19.83227922031 3 1 1885 36774.4400 19.9327445 36775.5450 19.9886058 36778.8600 20.15649122031 3 1 1886 36781.0700 20.2686459 36783.2800 20.3810541 36784.9800 20.46775092031 3 1 1887 36786.6800 20.5547169 36787.9550 20.6201785 36789.2300 20.68591852031 3 1 1888 36790.5050 20.7520459 36791.3550 20.7964289 36792.2050 20.84113682031 3 1 1889 36792.8425 20.8749437 36793.4800 20.9090519 36794.1175 20.95487792031 3 1 1890 36794.7550 21.0011764 36795.1800 21.0323626 36795.6050 21.06385432031 3 1 1891 36796.0300 21.0957007 36796.4550 21.1279587 36796.8800 21.16069342031 3 1 1892 36797.3050 21.1939790 36797.7300 21.2279001 36798.0488 21.26494512031 3 1 1893 36798.3675 21.3024339 36798.6863 21.3404388 36799.0050 21.37898862031 3 1 1894 36799.3238 21.4181647 36799.6425 21.4580042 36799.9613 21.49859852031 3 1 1895 36800.2800 21.5399930 36800.5988 21.5978685 36800.9175 21.65669522031 3 1 1896 36801.2363 21.7165954 36801.5550 21.7776216 36801.8738 21.83990642031 3 1 1897 36801.9800 21.8611007 36802.1925 21.9171678 36802.5113 22.00272252031 3 1 1898 36802.8300 22.0897968 36803.1488 22.1785544 36803.4675 22.26905112031 3 1 1899 36803.6800 22.3307107 36803.8182 22.3832144 36804.0944 22.48984732031 3 1 1900 36804.3707 22.5981001 36804.6469 22.7079681 36804.9232 22.81960342031 3 1 1901 36805.1994 22.9329963 36805.3375 22.9906260 36805.4757 23.06117712031 3 1 1902 36805.8900 23.2763195 36806.3044 23.4960668 36806.4425 23.57087622031 3 1 1903 36806.7188 23.7441760 36807.1332 24.0089806 36807.5475 24.27872122031 3 1 1904 36807.9619 24.5947375 36808.4570 24.9789789 36808.8650 25.30180892031 3 1 1905 36808.9925 25.4170683 36809.5280 25.9093584 36810.0635 26.40942422031 3 1 1906 36810.3950 26.7234154 36810.5990 26.9418893 36811.2025 27.59573002031 3 1 1907 36812.1885 28.6771449 36814.0500 30.7341744 36814.8320 31.58812852031 3 1 1908 36815.0360 31.7940335 36815.8690 32.6157510 36816.1920 32.92566392031 3 1 1909 36816.5320 33.2047224 36817.2120 33.7422748 36817.3480 33.84519512031 3 1 1910 36817.8240 34.1209541 36818.4870 34.4803879 36818.5720 34.52329482031 3 1 1911 36819.0140 34.6314348 36819.5920 34.7518300 36820.0000 34.82326962031 3 1 1912 36820.2856 34.8640612 36820.5440 34.8350541 36821.1456 34.74440092031 3 1 1913 36821.3068 34.7140409 36821.7008 34.5654045 36822.2024 34.35975582031 3 1 1914 36822.4174 34.2649339 36822.7756 34.0460680 36823.3131 33.70191182031 3 1 1915 36823.4922 33.5823301 36823.9579 33.2061019 36824.7102 32.57810542031 3 1 1916 36824.7103 32.5780100 36825.5701 31.7377995 36828.3466 28.97566882031 3 1 1917 36829.1527 28.1843627 36829.4394 27.9067363 36829.6902 27.69128172031 3 1 1918 36830.2276 27.2364611 36830.7650 26.7892085 36831.0157 26.58433502031 3 1 1919 36831.3023 26.3804150 36831.6606 26.1301397 36832.1622 25.78621192031 3 1 1920 36832.1711 25.7810733 36832.6279 25.5238871 36833.0847 25.27283212031 3 1 1921 36833.3892 25.1088264 36833.6669 24.9616433 36833.6938 24.95047532031 3 1 1922 36833.9983 24.8266126 36834.3028 24.7052354 36834.6073 24.58626542031 3 1 1923 36834.9119 24.4695806 36835.1716 24.3720012 36835.2164 24.35962062031 3 1 1924 36835.5209 24.2776115 36835.8254 24.1976464 36836.1300 24.11960182031 3 1 1925 36836.4345 24.0434295 36836.7390 23.9690042 36836.7615 23.96361832031 3 1 1926 36837.0004 23.9252007 36837.3279 23.8741548 36837.6555 23.82478372031 3 1 1927 36837.9830 23.7770009 36838.3105 23.7306782 36838.3513 23.72507562031 3 1 1928 36838.6379 23.7045412 36838.9655 23.6823166 36839.2930 23.66124642031 3 1 1929 36839.6205 23.6412296 36839.9480 23.6221769 36840.2755 23.60400482031 3 1 1930 36840.6030 23.5866348 36840.7361 23.5798717 36840.9305 23.58006752031 3 1 1931 36841.2580 23.5810584 36841.5856 23.5826481 36842.1313 23.58646992031 3 1 1932 36842.5680 23.5904477 36843.0046 23.5951244 36843.4413 23.60040722031 3 1 1933 36843.8779 23.6062104 36844.3180 23.6125142 36844.4647 23.61474592031 3 1 1934 36844.7580 23.6272679 36845.1981 23.6463925 36845.8582 23.67560162031 3 1 1935 36846.5182 23.7053178 36847.1783 23.7354434 36847.8384 23.76589042031 3 1 1936 36848.7185 23.8068739 36849.5986 23.8481982 36850.9187 23.91064712031 3 1 1937 36852.2389 23.9735005 36853.2657 24.0226075 36853.5590 24.03915162031 3 1 1938 36855.3192 24.1387623 36857.0794 24.2386472 36859.7198 24.38885412031 3 1 1939 36861.4800 24.4891767 36865.0004 24.6901515 36868.5208 24.89144842031 3 1 1940 36873.8014 25.1938006 36877.9086 25.4292201 36879.0820 25.50296682031 3 1 1941 36888.6165 26.1027055 36899.4221 26.7828787 36912.7214 27.62040132031 3 1 1942 36932.6704 28.9778842 36939.3200 29.4304788 36954.3404 30.52352132031 3 1 1943 36969.3608 31.6167291 36984.3812 32.7839308 36999.4016 33.95127262031 3 1 1944 37014.4220 35.1941625 37029.4424 36.4371804 37059.4832 39.10053882031 3 1 1945 37074.5036 40.4323692 37119.5648 44.7081797 37204.6804 53.18678422031 3 1 1946 37254.7484 58.1738361 37292.2994 61.6352808 37329.8504 64.72548082031 3 1 1947 37354.8844 66.4427409 37367.4014 67.3011608 37379.9184 67.98502152031 3 1 1948 37392.4354 68.6686537 37404.9524 69.1946576 37417.4694 69.72039832031 3 1 1949 37434.9932 70.2103942 37445.0068 70.4901660 37461.5293 70.65952062031 3 1 1950 37480.0544 70.8489933 37492.5714 70.7692901 37505.0884 70.68933042031 3 1 1951 37517.6054 70.4423134 37530.1224 70.1950868 37542.6394 69.79194792031 3 1 1952 37555.1564 69.3885815 37580.1904 68.2358949 37592.7074 67.65933312031 3 1 1953 37617.7414 66.1623726 37630.2584 65.4137379 37655.2924 63.65860502031 3 1 1954 37667.8094 62.7809277 37710.3672 59.4854896 37800.4896 52.15065982031 3 1 1955 37845.5508 48.4835551 37890.6120 45.0478650 37905.6324 43.90274182031 3 1 1956 37920.6528 42.8451055 37955.7004 40.3775189 37990.7480 38.07841682031 3 1 1957 38028.2990 35.8035325 38040.8160 35.0453222 38065.8500 33.65504622031 3 1 1958 38078.3670 32.9599909 38103.4010 31.6701384 38115.9180 31.02528602031 3 1 1959 38140.9520 29.8342068 38153.4690 29.2387380 38178.5030 28.13638672031 3 1 1960 38191.0200 27.5852734 38216.0540 26.5686935 38228.5710 26.06046282031 3 1 1961 38253.6050 25.1199713 38266.1220 24.6497774 38291.1560 23.79261432031 3 1 1962 38316.1900 22.9355492 38328.7070 22.5494047 38366.2580 21.39109912031 3 1 1963 38403.8090 20.3459052 38416.3260 19.9975422 38441.3600 19.36764892031 3 1 1964 38466.3940 18.7378217 38478.9110 18.4525437 38516.4620 17.59682442031 3 1 1965 38541.4960 17.0916383 38591.5640 16.0814185 38641.6320 15.18174622031 3 1 1966 38691.7000 14.3605571 38741.7680 13.6093269 38791.8360 12.92057582031 3 1 1967 38841.9040 12.2877363 38891.9720 11.7275360 38942.0400 11.16739272031 3 1 1968 38992.1080 10.6703279 39042.1760 10.2197458 39067.2100 9.994475312031 3 1 1969 39092.2440 9.79139142 39142.3120 9.38526056 39192.3800 9.022599592031 3 1 1970 39217.4140 8.84129097 39292.5160 8.34736552 39367.6180 7.902883542031 3 1 1971 39392.6520 7.76746270 39442.7200 7.49665834 39467.7540 7.373935602031 3 1 1972 39517.8220 7.12851533 39542.8560 7.01758548 39617.9580 6.684833442031 3 1 1973 39693.0600 6.38809315 39718.0940 6.28918942 39768.1620 6.111940532031 3 1 1974 39818.2300 5.93470683 39843.2640 5.85495037 39918.3660 5.615703872031 3 1 1975 40018.5020 5.32745573 40043.5360 5.26282379 40143.6720 5.004328892031 3 1 1976 40243.8080 4.77171072 40343.9440 4.56787354 40444.0800 4.364055132031 3 1 1977 40544.2160 4.18470747 40644.3520 4.02322950 40694.4200 3.942496952031 3 1 1978 40744.4880 3.86985708 40844.6240 3.72458878 40944.7600 3.595723262031 3 1 1979 40994.8280 3.53129505 41044.8960 3.47278066 41145.0320 3.355760042031 3 1 1980 41245.1680 3.25087794 41295.2360 3.19844168 41445.4400 3.057144232031 3 1 1981 41495.5080 3.01005050 41645.7120 2.88498659 41695.7800 2.843302722031 3 1 1982 41795.9160 2.76903670 41896.0520 2.69477601 41946.1200 2.661507022031 3 1 1983 42096.3240 2.56170837 42246.5280 2.47276122 42346.6640 2.413467432031 3 1 1984 42396.7320 2.38734985 42546.9360 2.30900196 42597.0040 2.282887692031 3 1 1985 42697.1400 2.23622096 42847.3440 2.16622472 43047.6160 2.081866952031 3 1 1986 43247.8880 2.00619313 43348.0240 1.96835875 43448.1600 1.934326392031 3 1 1987 43648.4320 1.86626609 43898.7720 1.79047830 43948.8400 1.775321682031 3 1 1988 44099.0440 1.73429117 44249.2480 1.69326375 44449.5200 1.643999932031 3 1 1989 44574.6900 1.61321244 44699.8600 1.58504135 44950.2000 1.528702702031 3 1 1990 45200.5400 1.47851716 45450.8800 1.42833469 45701.2200 1.384210602031 3 1 1991 45888.9750 1.35111967 46076.7300 1.31803052 46264.4850 1.284943802031 3 1 1992 46514.8250 1.24083243 46577.4100 1.22980539 46718.2263 1.204996832031 3 1 1993 46827.7500 1.18570353 46890.3350 1.17468023 46921.6275 1.168528732031 3 1 1994 47015.5050 1.15007655 47078.0900 1.13777691 47140.6750 1.125479052031 3 1 1995 47171.9675 1.11933121 47203.2600 1.11211674 47281.4913 1.094084462031 3 1 1996 47328.4300 1.08326778 47359.7225 1.07605840 47375.3688 1.071763172031 3 1 1997 47422.3075 1.05888057 47453.6000 1.05029432 47484.8925 1.041710092031 3 1 1998 47516.1850 1.03155225 47547.4775 1.02139723 47578.7700 1.011245582031 3 1 1999 47610.0625 .999019195 47633.5319 .989852520 47657.0013 .9806891452031 3 1 2000 47672.6475 .974582753 47680.4707 .970880473 47703.9400 .9597781862031 3 1 2001 47727.4094 .948681094 47735.2325 .944984166 47750.8788 .9360681962031 3 1 2002 47766.5250 .927156391 47782.1713 .918248348 47797.8175 .9093447312031 3 1 2003 47813.4638 .898613502 47829.1100 .887888146 47842.8005 .8785088942031 3 1 2004 47856.4910 .867379465 47870.1815 .856256586 47883.8719 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48101.4613 .445040198 48103.4125 .4372905692031 3 1 2018 48107.3150 .421825770 48108.7785 .416040920 48111.2175 .4056604962031 3 1 2019 48115.1200 .389095594 48116.0957 .384967927 48119.8030 .3680772852031 3 1 2020 48122.9250 .353899144 48123.4129 .351689894 48126.0470 .3388570782031 3 1 2021 48129.1690 .323693640 48130.7300 .316137907 48132.2910 .3080416232031 3 1 2022 48135.4130 .291907566 48137.7545 .279856545 48138.5350 .2756022842031 3 1 2023 48141.2668 .260773024 48143.6083 .248125623 48144.7790 .2415128452031 3 1 2024 48148.2913 .221795439 48149.4620 .215262134 48150.6328 .2084801692031 3 1 2025 48152.9743 .194987005 48155.3158 .181572179 48157.6573 .1682450922031 3 1 2026 48159.8037 .156114758 48162.7305 .139725012 48163.8037 .1337754182031 3 1 2027 48164.6818 .129055167 48166.6330 .118665421 48166.7306 .1181512412031 3 1 2028 48168.5843 .108760519 48168.7794 .107784498 48170.5355 .0993880502031 3 1 2029 48172.2917 .091585361 48172.4868 .090770238 48173.3649 .0871718132031 3 1 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