20-Ca- 40 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20040.0000 39.6193000 2 0 0 12025 1451 1 0.0 0.0 0 0 0 62025 1451 2 1.00000000 200000000. 1 0 10 72025 1451 3 12000.0000 0.0 1 0 659 1692025 1451 4 20-Ca- 40 NRG EVAL-OCT04 A.J. Koning 2025 1451 5 DIST-DEC06 REV1-MAY05 20050504 2025 1451 6 ----ENDF/B-VII MATERIAL 2025 REVISION 1 2025 1451 7 -----INCIDENT NEUTRON DATA 2025 1451 8 ------ENDF-6 FORMAT 2025 1451 9 ***************************** ENDF/B-VII *************************2025 1451 10 ** **2025 1451 11 ** Original data taken from: JEFF-3.1 **2025 1451 12 ** **2025 1451 13 ******************************************************************2025 1451 14 ***************************** JEFF-3.1 *************************2025 1451 15 ** **2025 1451 16 ** Original data taken from: New evaluation **2025 1451 17 ** **2025 1451 18 ******************************************************************2025 1451 19 2025 1451 20 NRG-2004: n + Ca-40 2025 1451 21 2025 1451 22 Author: A.J. Koning, NRG Petten 2025 1451 23 2025 1451 24 ************** G E N E R A L I N F O R M A T I O N *************2025 1451 25 2025 1451 26 This evaluated data file is based primarily on a theoretical 2025 1451 27 analysis with the nuclear model code TALYS [kon04], version 0.56. 2025 1451 28 The nuclear model parameters of TALYS have been adjusted to 2025 1451 29 reproduce the existing experimental data. The resulting data file 2025 1451 30 provides a complete representation of nuclear data needed for 2025 1451 31 transport, damage, heating, radioactivity, and shielding 2025 1451 32 applications over the incident neutron energy range from 2025 1451 33 1.0E-11 to 200 MeV. 2025 1451 34 2025 1451 35 This file is part of a larger collection of isotopic evaluations, 2025 1451 36 all created by running TALYS with input parameters that do not or 2025 1451 37 slightly deviate from the default values. The mutual quality of 2025 1451 38 these isotopic evaluations is thus relatively consistent. 2025 1451 39 The same set of nuclear models is used and, equally important, 2025 1451 40 the same ENDF-6 formatting procedures for each isotope. We have 2025 1451 41 intended to make this evaluation complete in its description of 2025 1451 42 reaction channels, and use a compact method to store the data. 2025 1451 43 2025 1451 44 For certain reactions and energy ranges TALYS may not be used. 2025 1451 45 This is the case when TALYS is not appropriate, such as for the 2025 1451 46 description of resonances, or when the directly available 2025 1451 47 experimental data is of better quality, as for e.g. low-energy 2025 1451 48 total cross sections. In these cases, we have adopted the best 2025 1451 49 possible data from an existing library, or directly from unfiled 2025 1451 50 experimental data. All transport data for particles, photons and 2025 1451 51 residual nuclides are filed using a combination of MF1,2,3,4 and 2025 1451 52 MF6. This includes cross sections, angular distributions, 2025 1451 53 double-differential spectra, discrete and continuum photon 2025 1451 54 production cross sections, and residual production (activation) 2025 1451 55 cross sections. Moreover, isomeric production data are stored in 2025 1451 56 MF8 and MF10. This evaluation can thus be used as both transport 2025 1451 57 and activation library. The data file has been created 2025 1451 58 automatically using the ENDF-6 format generator TEFAL. 2025 1451 59 2025 1451 60 ##### ORIGIN 2025 1451 61 2025 1451 62 Data < 200 MeV : New evaluation NRG Petten 2025 1451 63 2025 1451 64 Resonance parameters (MF2/MT151): JENDL-3.3 for E < 500 keV 2025 1451 65 Total cross sections (MF3/MT1) : ENDF/B-VI.8 for E < 20 MeV 2025 1451 66 All other data : Produced with TALYS code 2025 1451 67 2025 1451 68 *************************** T H E O R Y **************************2025 1451 69 2025 1451 70 TALYS is a computer code system for the prediction and analysis 2025 1451 71 of nuclear reactions. TALYS simulates reactions that involve 2025 1451 72 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2025 1451 73 alpha-particles, in the 1 keV - 200 MeV energy range and for 2025 1451 74 target nuclides of mass 12 and heavier. This is achieved by 2025 1451 75 implementing a suite of nuclear reaction models into a single 2025 1451 76 code system. It enables to evaluate nuclear reactions from 2025 1451 77 the unresolved resonance region up to intermediate energies. This 2025 1451 78 evaluation is based on a theoretical analysis that utilizes the 2025 1451 79 optical model, compound nucleus statistical theory, direct 2025 1451 80 reactions and pre-equilibrium processes, in combination with 2025 1451 81 databases and models for nuclear structure. For Ca-40, the 2025 1451 82 following output of TALYS is stored in this data file: 2025 1451 83 2025 1451 84 - Total, elastic and non-elastic cross sections 2025 1451 85 - Elastic scattering angular distributions 2025 1451 86 - Inelastic cross sections to discrete states 2025 1451 87 - Inelastic scattering angular distributions to discrete states 2025 1451 88 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2025 1451 89 - Exclusive channel energy spectra 2025 1451 90 - Exclusive channel double-differential spectra 2025 1451 91 - Exclusive gamma production for discrete states and continuum 2025 1451 92 - Isomeric and ground state cross sections 2025 1451 93 - Residual production cross sections 2025 1451 94 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2025 1451 95 - Total particle energy spectra 2025 1451 96 - Total particle double-differential spectra 2025 1451 97 2025 1451 98 Here follows a short description of the used nuclear models: 2025 1451 99 2025 1451 100 ##### OPTICAL MODEL 2025 1451 101 2025 1451 102 All optical model calculations are performed by ECIS-97 [ray94], 2025 1451 103 in TALYS used as a subroutine. The default optical model 2025 1451 104 potentials (OMP) used are the local and global parameterizations 2025 1451 105 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2025 1451 106 for neutrons and protons which in principle are valid over the 2025 1451 107 1 keV - 200 MeV energy range, though the low energy boundary of 2025 1451 108 validity may differ from nucleus to nucleus (e.g. for the total 2025 1451 109 cross sections, experimental data are included directly in the 2025 1451 110 file for energies below that boundary). Solving the Schroedinger 2025 1451 111 equation with this OMP yields the total cross section, the 2025 1451 112 shape-elastic cross section, the shape-elastic angular 2025 1451 113 distribution, the wave functions for the direct reaction cross 2025 1451 114 sections (see below), the transmission coefficients for the 2025 1451 115 compound nucleus model (see below) and the reaction cross 2025 1451 116 sections for the pre-equilibrium model (see below). 2025 1451 117 For neutrons and protons, the used parameterization is given in 2025 1451 118 Eq. (7) of [kon03]. 2025 1451 119 To calculate the transmission coefficients and reaction cross 2025 1451 120 sections for deuterons, tritons, helions and alpha particles, we 2025 1451 121 use OMPs that are directly derived from our nucleon potentials 2025 1451 122 using Watanabe's folding approach [mad88]. 2025 1451 123 2025 1451 124 ##### DIRECT REACTIONS 2025 1451 125 2025 1451 126 The built-in ECIS-97 is used for coupled-channels or DWBA 2025 1451 127 calculations for rotational or vibrational (or a combination of 2025 1451 128 these) nuclides. For Ca-40, DWBA was used to compute the direct 2025 1451 129 cross sections to several low-lying discrete levels: 2025 1451 130 2025 1451 131 Level Energy Spin/Parity Deformation length delta_L 2025 1451 132 2025 1451 133 2 3.736690 3.0- 1.340 2025 1451 134 3 3.904380 2.0+ 0.360 2025 1451 135 4 4.491430 5.0- 0.930 2025 1451 136 + a few additional states with small deformation parameters. 2025 1451 137 2025 1451 138 In addition, a macroscopic, phenomenological model to describe 2025 1451 139 giant resonances in the inelastic channel is used. For each 2025 1451 140 multipolarity an energy weighted sum rule applies and a DWBA 2025 1451 141 calculation with ECIS-97 is performed for each giant resonance 2025 1451 142 state. The cross section is then spread over the continuum with a 2025 1451 143 Gaussian distribution. 2025 1451 144 2025 1451 145 ##### COMPOUND NUCLEUS 2025 1451 146 2025 1451 147 For binary compound nucleus reactions we use the model of 2025 1451 148 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2025 1451 149 corrected for width fluctuations. The transmission coefficients 2025 1451 150 have been generated with the aforementioned OMPs and the full 2025 1451 151 j,l-dependence of the transmission coefficients in the 2025 1451 152 Hauser-Feshbach model is used. For each nucleus that can be 2025 1451 153 reached through a binary reaction, several discrete levels and a 2025 1451 154 continuum described by level densities are included 2025 1451 155 simultaneously as competing channels. 2025 1451 156 2025 1451 157 The compound nucleus angular distributions are calculated with 2025 1451 158 the Blatt-Biedenharn formalism [bla52], leading to compound 2025 1451 159 nucleus Legendre coefficients that are added to their direct 2025 1451 160 counterparts. For multiple compound emission, i.e. emitted 2025 1451 161 particles after the binary emission, we use the Hauser-Feshbach 2025 1451 162 model. Again, for each residual nucleus several discrete states 2025 1451 163 are included as well as a continuum described by level densities. 2025 1451 164 Multiple compound emission is continued until all reaction 2025 1451 165 channels are closed and the population distribution of all 2025 1451 166 residual nuclides is depleted, through gamma decay, until they 2025 1451 167 end up in the ground state or in an isomer. 2025 1451 168 2025 1451 169 For the level density, we take the composite formula proposed by 2025 1451 170 Gilbert and Cameron [gil65], consisting of a constant temperature 2025 1451 171 law at low energies and a Fermi gas expression at high energies. 2025 1451 172 For the level density parameter a we use the energy dependent 2025 1451 173 expression proposed by Ignatyuk [ign75] to take into account the 2025 1451 174 damping of shell effects at high excitation energy. We have 2025 1451 175 obtained the parameters for the Ignatyuk formula from a 2025 1451 176 simultaneous fit to all experimental D_0 values as present in the 2025 1451 177 RIPL library. If necessary, we adjust individual parameters to 2025 1451 178 obtain a better fit to experiment. 2025 1451 179 2025 1451 180 Gamma-ray transmission coefficients are generated with the 2025 1451 181 Kopecky-Uhl generalized Lorentzian for strength 2025 1451 182 functions [kop90], with giant dipole resonance parameters taken 2025 1451 183 from the RIPL library [rip98], and normalized with experimental 2025 1451 184 radiative widths [gar84]. 2025 1451 185 2025 1451 186 ##### PRE-EQUILIBRIUM REACTIONS 2025 1451 187 2025 1451 188 For pre-equilibrium reactions, which become important for 2025 1451 189 incident energies above about 10 MeV, we use the two-component 2025 1451 190 exciton model [kon04b], in which the neutron or proton types of 2025 1451 191 particles and holes are followed throughout the reaction. For 2025 1451 192 energies above 20 MeV, multiple pre-equilibrium emission up to 2025 1451 193 any order of particle emission was included in the calculations. 2025 1451 194 A parameterization for the squared matrix element is used that is 2025 1451 195 valid for the whole energy range of this evaluation. 2025 1451 196 2025 1451 197 For deuterons, tritons, helions and alpha-particles, an extra 2025 1451 198 contribution was added from the pick/up and knock-out reaction 2025 1451 199 model by Kalbach [kal01]. 2025 1451 200 2025 1451 201 For photons, the model of Akkermans and Gruppelaar [akk85] was 2025 1451 202 applied, to simulate the direct and semi-direct capture 2025 1451 203 processes. 2025 1451 204 2025 1451 205 The angular distribution systematics by Kalbach [kal88] were used 2025 1451 206 to describe the angular distributions for all continuum 2025 1451 207 particles. An isotopic distribution for photons was adopted. 2025 1451 208 2025 1451 209 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****2025 1451 210 2025 1451 211 This evaluation was performed simultaneously with other adjacent 2025 1451 212 isotopes, both for incident neutrons and protons. This enables, 2025 1451 213 when compared with a single-isotope effort, to put stronger 2025 1451 214 constraints on the produced calculated data, i.e. a globally 2025 1451 215 good comparison between TALYS and experimental data is requested 2025 1451 216 for all isotopes at the same time, while nucleus-specific input 2025 1451 217 (default or adjusted) parameters are consistently used for all 2025 1451 218 isotopes. Also, experimental data that is not available for the 2025 1451 219 isotope under study may be present, and tested, for adjacent 2025 1451 220 nuclides or for other projectiles. If these can be successfully 2025 1451 221 described by the models, a similar performance can be expected 2025 1451 222 for the present data file. 2025 1451 223 A few level density parameters for residual nuclides have been 2025 1451 224 adjusted to enforce agreement with the experimental data. The 2025 1451 225 changes in the level density parameters, a, were all kept within 2025 1451 226 10% of their default values. 2025 1451 227 2025 1451 228 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2025 1451 229 2025 1451 230 The spherical OMP was tested against experimental data for total 2025 1451 231 cross sections and elastic scattering angular distributions. 2025 1451 232 Consult [kon03] for the complete experimental database and for a 2025 1451 233 comparison of calculations and measurements over the whole energy 2025 1451 234 range. 2025 1451 235 2025 1451 236 ##### INELASTIC CROSS SECTIONS 2025 1451 237 2025 1451 238 For inelastic scattering to the level 1 [per70,smi94], 2025 1451 239 2 [per70,ols90], 3[per70], and 4 [per70,smi94,ols90], the 2025 1451 240 calculations have been tested against the available measurements. 2025 1451 241 They are also validated, for the first few MeV, with experimental 2025 1451 242 data on the specific gamma ray from the first, second and third 2025 1451 243 level to the ground state [bas66], produced by the (n,n') 2025 1451 244 reaction. No further renormalization was necessary to describe 2025 1451 245 the experiments. Inelastic scattering angular distributions for 2025 1451 246 the first 3- and 5- states were tested against the available 2025 1451 247 data at 11 and 20 MeV [bai77] (reasonable fit, some 2025 1451 248 underestimation at forward angles). 2025 1451 249 2025 1451 250 ##### OTHER PARTIAL CROSS SECTIONS 2025 1451 251 2025 1451 252 - (n,gamma): 2025 1451 253 2025 1451 254 The calculated capture cross section is renormalized, by 2025 1451 255 overruling the default renormalization to the s-wave strength 2025 1451 256 function, to the available experimental data, all taken from the 2025 1451 257 EXFOR database. A normalization factor of 0.50 was used. Further, 2025 1451 258 the E1 giant resonance energy was changed to 17 MeV to better 2025 1451 259 describe the direct/semi-direct peak around an incident energy 2025 1451 260 of 14 MeV. The pre-equilibrium gamma cross section was adjusted 2025 1451 261 to the data by multiplying the calculated result by a factor of 2025 1451 262 0.7. 2025 1451 263 2025 1451 264 - (n,2n): 2025 1451 265 2025 1451 266 The calculated results do not coincide at all with the single 2025 1451 267 experimental (n,2n) data set[arn65]. Independent GNASH and EMPIRE 2025 1451 268 calculations also suggest the data of [arn65] are too high. 2025 1451 269 2025 1451 270 - (n,p): 2025 1451 271 2025 1451 272 Both experimental (n,p) cross sections for the first 4 discrete 2025 1451 273 final levels [bas66] and the total (n,p) cross sections 2025 1451 274 [ure61,all61] were used as validation. 2025 1451 275 2025 1451 276 - (n,a): 2025 1451 277 2025 1451 278 Validated with many experimental data from EXFOR. 2025 1451 279 2025 1451 280 ##### PARTICLE SPECTRA 2025 1451 281 2025 1451 282 For Ca-40, an adjustment of the default matrix element 2025 1451 283 parameterization of [kon04b] for pre-equilibrium reactions of a 2025 1451 284 factor of 0.7 was needed, to describe the aforementioned cross 2025 1451 285 sections and emission spectra for nuclides in this mass range. 2025 1451 286 For high-energy neutron and charged particle spectra, the average 2025 1451 287 quality is also determined by the pre-equilibrium model and its 2025 1451 288 global parameterization. No high-energy experiments are 2025 1451 289 available, though neutron induced reaction spectra between 28 and 2025 1451 290 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2025 1451 291 to better constrain the results, through the aforementioned 2025 1451 292 matrix element, for particle yields and double-differential 2025 1451 293 spectra for all ejectiles up to alpha particles. 2025 1451 294 2025 1451 295 ***************** F I L E I N F O R M A T I O N ****************2025 1451 296 2025 1451 297 ##### MF1: GENERAL INFORMATION 2025 1451 298 2025 1451 299 - MT451 : Descriptive data and directory 2025 1451 300 2025 1451 301 This text and the full directory of used MF/MT sections. 2025 1451 302 2025 1451 303 ##### MF2: RESONANCE PARAMETERS 2025 1451 304 2025 1451 305 - MT151 : Resonance parameters 2025 1451 306 2025 1451 307 Resolved parameters for MLBW formula were adopted from JENDL-3.3. 2025 1451 308 They are given in the energy region from 1.0e-5 eV to 500 keV. 2025 1451 309 Parameters were taken from the recommended data of BNL [mug81] 2025 1451 310 and the data for a negative resonance were added so as to 2025 1451 311 reproduce the recommended thermal cross sections for capture and 2025 1451 312 scattering [mug81]. The scattering radius was assumed to be 2025 1451 313 3.6 fermi. Calculated 2200 m/sec cross sections and resonance 2025 1451 314 integrals are as follows: 2025 1451 315 2025 1451 316 2200 m/s cross section(b) res. integral(b) 2025 1451 317 elastic 3.022 2025 1451 318 capture 0.408 0.2125 2025 1451 319 total 3.430 2025 1451 320 2025 1451 321 2025 1451 322 ##### MF3: REACTION CROSS SECTIONS 2025 1451 323 2025 1451 324 Unless stated otherwise, all the data present in the following 2025 1451 325 MT-sections have been calculated with TALYS. If the maximal cross 2025 1451 326 section in an excitation function over the whole energy range 2025 1451 327 does not exceed 1.e-9 b, the MT-number is not included at all. 2025 1451 328 Cross sections lower than 1.e-20 b are assumed to have no 2025 1451 329 physical meaning and are set to zero. 2025 1451 330 2025 1451 331 - MT1 : Total cross section 2025 1451 332 2025 1451 333 Below 20 MeV, MT1 is adopted from ENDF/B-VI.8. The experimental 2025 1451 334 total cross sections from ORNL, NBS and Karlsruhe were used to 2025 1451 335 obtain the best average set. Above 20 MeV, calculations from 2025 1451 336 the spherical OMP, tuned to the data of [fin93], were used. 2025 1451 337 2025 1451 338 - MT2 : Elastic scattering cross section 2025 1451 339 2025 1451 340 Obtained by subtracting the non-elastic cross section from the 2025 1451 341 total cross section. At energies below 20 MeV, the elastic 2025 1451 342 cross section is thus derived from evaluated experiment-based 2025 1451 343 total cross sections and optical model based non-elastic cross 2025 1451 344 sections. Below 500 keV, resonance parameters are used. 2025 1451 345 2025 1451 346 - MT3 : Non-elastic cross section 2025 1451 347 2025 1451 348 Calculated with the optical model over the whole energy range. 2025 1451 349 The results have been validated with existing experimental 2025 1451 350 neutron reaction cross section data, all taken from the EXFOR 2025 1451 351 database. Below 500 keV, resonance parameters are used. 2025 1451 352 2025 1451 353 - MT4 : Total inelastic cross section 2025 1451 354 2025 1451 355 Sum of MT=51-91. 2025 1451 356 2025 1451 357 - MT5 : (n,anything) cross section 2025 1451 358 2025 1451 359 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2025 1451 360 cross section, where x may represent neutron, proton, deuteron, 2025 1451 361 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2025 1451 362 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2025 1451 363 recovered. These cross sections are relatively small. However, 2025 1451 364 addition of these cross sections, which can not be stored in any 2025 1451 365 other MT-number, ensures that the partial cross sections add up 2025 1451 366 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2025 1451 367 total non-elastic cross section, with which the information of 2025 1451 368 MF6/MT5 can be combined to obtain particle production cross 2025 1451 369 sections and (double-)differential cross sections. 2025 1451 370 2025 1451 371 - MT16 : (n,2n) cross section 2025 1451 372 - MT22 : (n,na) cross section 2025 1451 373 - MT28 : (n,np) cross section 2025 1451 374 - MT29 : (n,n2a) cross section 2025 1451 375 - MT44 : (n,n2p) cross section 2025 1451 376 - MT45 : (n,npa) cross section 2025 1451 377 - MT51-70 : (n,n') cross section for 1st-20th excited state 2025 1451 378 - MT91 : (n,n') continuum cross section 2025 1451 379 - MT102 : (n,gamma) cross section 2025 1451 380 2025 1451 381 Below 500 keV, resonance parameters are used. 2025 1451 382 2025 1451 383 - MT103 : (n,p) cross section 2025 1451 384 - MT104 : (n,d) cross section 2025 1451 385 - MT105 : (n,t) cross section 2025 1451 386 - MT106 : (n,h) cross section 2025 1451 387 - MT107 : (n,a) cross section 2025 1451 388 - MT108 : (n,2a) cross section 2025 1451 389 - MT111 : (n,2p) cross section 2025 1451 390 - MT112 : (n,pa) cross section 2025 1451 391 - MT115 : (n,pd) cross section 2025 1451 392 - MT117 : (n,da) cross section 2025 1451 393 - MT600-607: (n,p) cross section for 0th-7th excited state 2025 1451 394 2025 1451 395 Obtained by mapping continuum (n,p) cross section from 2025 1451 396 pre-equilibrium and compound model on discrete states. 2025 1451 397 2025 1451 398 - MT649 : (n,p) continuum cross section 2025 1451 399 - MT650-655: (n,d) cross section for 0th-5th excited state 2025 1451 400 2025 1451 401 Obtained by mapping continuum (n,d) cross section from 2025 1451 402 pre-equilibrium and compound model on discrete states. 2025 1451 403 2025 1451 404 - MT699 : (n,d) continuum cross section 2025 1451 405 - MT700-705: (n,t) cross section for 0th-5th excited state 2025 1451 406 2025 1451 407 Obtained by mapping continuum (n,t) cross section from 2025 1451 408 pre-equilibrium and compound model on discrete states. 2025 1451 409 2025 1451 410 - MT749 : (n,t) continuum cross section 2025 1451 411 - MT750-755: (n,h) cross section for 0th-5th excited state 2025 1451 412 2025 1451 413 Obtained by mapping continuum (n,h) cross section from 2025 1451 414 pre-equilibrium and compound model on discrete states. 2025 1451 415 2025 1451 416 - MT799 : (n,h) continuum cross section 2025 1451 417 - MT800-810: (n,a) cross section for 0th-10th excited state 2025 1451 418 2025 1451 419 Obtained by mapping continuum (n,a) cross section from 2025 1451 420 pre-equilibrium and compound model on discrete states. 2025 1451 421 2025 1451 422 - MT849 : (n,a) continuum cross section 2025 1451 423 2025 1451 424 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2025 1451 425 2025 1451 426 The versatility of MF6 for the storage of almost any secondary 2025 1451 427 distribution entails that we only use MF4 for the neutron elastic 2025 1451 428 scattering distribution. All data are generated with TALYS. 2025 1451 429 2025 1451 430 - MT2 : Elastic angular distribution 2025 1451 431 2025 1451 432 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2025 1451 433 Legendre representation to a tabulated representation. For 2025 1451 434 incident energies below 20 MeV, the Legendre coefficients are 2025 1451 435 given on a sufficiently precise energy grid. They are a sum of 2025 1451 436 calculated Legendre coefficients for compound nucleus and 2025 1451 437 shape-elastic scattering. For incident energies above 20 MeV, 2025 1451 438 relative angular distributions are tabulated on an angular grid. 2025 1451 439 2025 1451 440 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2025 1451 441 2025 1451 442 In MF6 we store all secondary energy, angle, and energy-angle 2025 1451 443 distributions, as well as all residual and discrete + continuum 2025 1451 444 photon production cross sections. We thus do not use MF12-15 for 2025 1451 445 the photon production that accompanies each reaction. All data 2025 1451 446 are generated with TALYS. 2025 1451 447 2025 1451 448 - MT5 : (n,anything) yields and energy-angle distributions 2025 1451 449 2025 1451 450 For energies below 20 MeV, MT5 contains the relative yields of 2025 1451 451 the (n,gamma x) reaction, where x may represent neutron, proton, 2025 1451 452 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2025 1451 453 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2025 1451 454 section can be recovered. For energies above 20 MeV, MT5 contains 2025 1451 455 the production yields of particles and residual products. It also 2025 1451 456 contains the secondary energy-angle distributions for all 2025 1451 457 particles and photons. First, the yields for neutrons are given 2025 1451 458 for the whole energy range. Next, on a secondary energy grid the 2025 1451 459 relative emission spectra are given together with the parameters 2025 1451 460 for the Kalbach systematics for angular distributions. Inelastic 2025 1451 461 scattering cross sections for discrete states have been broadened 2025 1451 462 and added to the continuum spectra. This procedure is repeated 2025 1451 463 for protons, deuterons, tritons, Helium-3, alpha particles and 2025 1451 464 photons. Finally, the residual production yields are given per 2025 1451 465 final product. All these yields and relative distributions can 2025 1451 466 be multiplied with the cross sections given in MF3/MT5 to get 2025 1451 467 the production cross sections and (double-)differential cross 2025 1451 468 sections. 2025 1451 469 2025 1451 470 - MT16 : (n,2n) energy-angle distr. and photon production 2025 1451 471 2025 1451 472 First, for each type of outgoing particle, the (trivial) integer 2025 1451 473 particle yields are given. Next, on a sufficiently dense incident 2025 1451 474 energy grid the secondary energy-angle distributions are 2025 1451 475 specified by means of the relative emission spectra and the 2025 1451 476 parameters for the Kalbach systematics for angular distributions. 2025 1451 477 Next, the photon yield is tabulated as a function of incident 2025 1451 478 energy. For each incident energy, the photon production is given 2025 1451 479 for all discrete gamma lines present in the final nucleus. A 2025 1451 480 continuum photon distribution is added to this. We assume 2025 1451 481 isotropy for all produced gamma rays. 2025 1451 482 2025 1451 483 For the following MT-numbers, the same procedure as for MT16 is 2025 1451 484 followed: 2025 1451 485 ----- 2025 1451 486 - MT22 : (n,na) energy-angle distr. and photon production 2025 1451 487 - MT28 : (n,np) energy-angle distr. and photon production 2025 1451 488 - MT29 : (n,n2a) energy-angle distr. and photon production 2025 1451 489 - MT44 : (n,n2p) energy-angle distr. and photon production 2025 1451 490 - MT45 : (n,npa) energy-angle distr. and photon production 2025 1451 491 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2025 1451 492 - MT102 : (n,gamma) photon production 2025 1451 493 - MT108 : (n,2a) energy-angle distr. and photon production 2025 1451 494 - MT111 : (n,2p) energy-angle distr. and photon production 2025 1451 495 - MT112 : (n,pa) energy-angle distr. and photon production 2025 1451 496 - MT115 : (n,pd) energy-angle distr. and photon production 2025 1451 497 - MT117 : (n,da) energy-angle distr. and photon production 2025 1451 498 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2025 1451 499 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2025 1451 500 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2025 1451 501 - MT799 : (n,h) continuum energy-angle distr. and photon prod. 2025 1451 502 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2025 1451 503 ----- 2025 1451 504 2025 1451 505 - MT51 : (n,n') angular distribution and photon production 2025 1451 506 for first excited state 2025 1451 507 2025 1451 508 The angular distribution for inelastic scattering to the first 2025 1451 509 inelastic state is given with Legendre coefficients up to 20 MeV. 2025 1451 510 Next, the exclusive yields for all the discrete gamma rays that 2025 1451 511 originate from this particular level are given. 2025 1451 512 2025 1451 513 For the following MT-numbers, the same procedure as for MT51 is 2025 1451 514 followed: 2025 1451 515 ----- 2025 1451 516 - MT52-70 : (n,n') angular distribution and photon production 2025 1451 517 for 2nd-20th excited state 2025 1451 518 - MT600-607: (n,p) angular distribution and photon production 2025 1451 519 for 0th-7th excited state 2025 1451 520 - MT650-655: (n,d) angular distribution and photon production 2025 1451 521 for 0th-5th excited state 2025 1451 522 - MT700-705: (n,t) angular distribution and photon production 2025 1451 523 for 0th-5th excited state 2025 1451 524 - MT750-755: (n,h) angular distribution and photon production 2025 1451 525 for 0th-5th excited state 2025 1451 526 - MT800-810: (n,a) angular distribution and photon production 2025 1451 527 for 0th-10th excited state 2025 1451 528 ----- 2025 1451 529 2025 1451 530 ***** 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 ****2025 1451 531 2025 1451 532 This file has been checked successfully by the BNL checking 2025 1451 533 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2025 1451 534 been processed successfully into an MCNP library by the 2025 1451 535 processing code NJOY99.81 [mac00]. 2025 1451 536 2025 1451 537 *********************** R E F E R E N C E S **********************2025 1451 538 2025 1451 539 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2025 1451 540 (1985). 2025 1451 541 [all61] D.L. Allan, Nucl. Phys. 24, 274 (1961). 2025 1451 542 [arn65] D.M. Arnold, L.A. Rayburn, Dissertation Abstracts 26, 2025 1451 543 3425 (1965) 2025 1451 544 [bai77] D.E. Bainum, R.W. Finlay, J. Rapaport, J.D. Carlson, and 2025 1451 545 W.G. Love, Phys. Rev. C16, 1377 (1977). 2025 1451 546 [bas66] R. Bass, F. Saleh), EANDC(E)-57U, 1 (1965). 2025 1451 547 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2025 1451 548 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2025 1451 549 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2025 1451 550 Nucl. Sci. Eng. 141, 1 (2002). 2025 1451 551 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2025 1451 552 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2025 1451 553 (1952). 2025 1451 554 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2025 1451 555 [fin93] R.W. Finlay, W.P. Abfalterer, G. Fink, E. Montei, 2025 1451 556 T. Adami, P.W. Lisowski, G.L. Morgan, and R.C. Haight, 2025 1451 557 Phys. Rev. C47, 237 (1993). 2025 1451 558 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2025 1451 559 Series on Neutron Physics and Nuclear Data in Science and 2025 1451 560 Technology, eds. A. Michaudon et al., p. 62 (1984). 2025 1451 561 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2025 1451 562 (1965). 2025 1451 563 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2025 1451 564 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2025 1451 565 Nucl. Phys. 21, no. 3, 255 (1975). 2025 1451 566 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2025 1451 567 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2025 1451 568 code with direct reactions, Duke University 2001, 2025 1451 569 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2025 1451 570 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2025 1451 571 (2003). 2025 1451 572 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2025 1451 573 (2004). 2025 1451 574 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2025 1451 575 (2004). 2025 1451 576 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2025 1451 577 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2025 1451 578 pointwise and multigroup neutron and photon cross 2025 1451 579 sections from ENDF/B Data, RSIC PSR-480 (2000). 2025 1451 580 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2025 1451 581 Preequilibrium Reactions, Semmering, Austria, 2025 1451 582 February 10-12 1988, (OECD, Paris 1988), p. 103. 2025 1451 583 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2025 1451 584 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2025 1451 585 Neutron Cross Sections, Vol. I, Neutron Resonance 2025 1451 586 Parameters and Thermal Cross Sections (Academic Press, 2025 1451 587 1981). 2025 1451 588 [ols94] N. Olsson, B. Trostell, E. Ramstroem, Nucl. Phys. A513, 2025 1451 589 205 (1990) 2025 1451 590 [per70] F.G. Perey, W.E. Kinney, ORNL-4519 (1970) 2025 1451 591 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2025 1451 592 No. CEA-N-2772, 1994. 2025 1451 593 [rip98] Handbook for calculations of nuclear reaction data: 2025 1451 594 Reference Input Parameter Library, IAEA-TECDOC-1034 2025 1451 595 (1998). 2025 1451 596 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2025 1451 597 S. Benck, J.P. Meulders, and V. Corcalciuc, 2025 1451 598 Journ. Phys. G, November 2003 (2003). 2025 1451 599 [smi94] A.B. Smith, Nucl. Phys. A576, 165 (1994) 2025 1451 600 [ure61] S. Urech, E. Jeannet, J. Rossel, Helvetica Physica Acta 2025 1451 601 34, 954 (1961) 2025 1451 602 2025 1451 603 ************************* C O N T E N T S ************************2025 1451 604 2025 1451 605 ***************** Program LINEAR (VERSION 2007-1) ***************2025 1451 606 For All Data Greater than 1.0000E-10 barns in Absolute Value 2025 1451 607 Data Linearized Using Energy Dependent Uncertainty 2025 1451 608 Energy Accuracy 2025 1451 609 (eV) (per-cent) 2025 1451 610 ----------- ----------- 2025 1451 611 0.0 .010000000 2025 1451 612 1.00000000 .010000000 2025 1451 613 10.0000000 .100000000 2025 1451 614 2.00000E+9 .100000000 2025 1451 615 ***************** Program RECENT (VERSION 2007-1) ***************2025 1451 616 for All Data Greater than 1.0000E-10 barns in Absolute Value 2025 1451 617 Data Linearized Using Energy Dependent Uncertainty 2025 1451 618 Energy Accuracy 2025 1451 619 (eV) (per-cent) 2025 1451 620 ----------- ----------- 2025 1451 621 0.0 .010000000 2025 1451 622 1.00000000 .010000000 2025 1451 623 10.0000000 .100000000 2025 1451 624 2.00000E+9 .100000000 2025 1451 625 ***************** Program SIGMA1 (VERSION 2007-1) ***************2025 1451 626 Data Doppler Broadened to 1200.00000 Kelvin 2025 1451 627 for All Data Greater than 1.0000E-10 barns in Absolute Value 2025 1451 628 Data Linearized Using Energy Dependent Uncertainty 2025 1451 629 Energy Accuracy 2025 1451 630 (eV) (per-cent) 2025 1451 631 ----------- ----------- 2025 1451 632 0.0 .010000000 2025 1451 633 1.00000000 .010000000 2025 1451 634 10.0000000 .100000000 2025 1451 635 2.00000E+9 .100000000 2025 1451 636 ***************** Program SIGMA1 (VERSION 2007-1) ***************2025 1451 637 Data Doppler Broadened to 12000.0000 Kelvin 2025 1451 638 for All Data Greater than 1.0000E-10 barns in Absolute Value 2025 1451 639 Data Linearized Using Energy Dependent Uncertainty 2025 1451 640 Energy Accuracy 2025 1451 641 (eV) (per-cent) 2025 1451 642 ----------- ----------- 2025 1451 643 0.0 .010000000 2025 1451 644 1.00000000 .010000000 2025 1451 645 10.0000000 .100000000 2025 1451 646 2.00000E+9 .100000000 2025 1451 647 ***************** Program FIXUP (Version 2007-1) ****************2025 1451 648 Corrected ZA/AWR in All Sections-----------------------------Yes 2025 1451 649 Corrected Thresholds-----------------------------------------No 2025 1451 650 Extended Cross Sections to 20 MeV----------------------------No 2025 1451 651 Allow Cross Section Deletion---------------------------------Yes 2025 1451 652 Allow Cross Section Reconstruction---------------------------Yes 2025 1451 653 Make All Cross Sections Non-Negative-------------------------Yes 2025 1451 654 Delete Energies Not in Ascending Order-----------------------Yes 2025 1451 655 Deleted Duplicate Points-------------------------------------Yes 2025 1451 656 Check for Ascending MAT/MF/MT Order--------------------------Yes 2025 1451 657 Check for Legal MF/MT Numbers--------------------------------Yes 2025 1451 658 Allow Creation of Missing Sections---------------------------No 2025 1451 659 Allow Insertion of Energy Points-----------------------------No 2025 1451 660 Create Uniform Energy Grid-----------------------------------No 2025 1451 661 Delete Section if Cross Section =0 at All Energies-----------Yes 2025 1451 662 **************** Program DICTIN (VERSION 2007-1) ****************2025 1451 663 1 451 832 12025 1451 664 2 151 140 12025 1451 665 3 1 5013 12025 1451 666 3 2 2201 12025 1451 667 3 4 24 12025 1451 668 3 5 24 12025 1451 669 3 16 5 12025 1451 670 3 22 10 12025 1451 671 3 28 10 12025 1451 672 3 29 5 12025 1451 673 3 44 6 12025 1451 674 3 45 5 12025 1451 675 3 51 18 12025 1451 676 3 52 13 12025 1451 677 3 53 15 12025 1451 678 3 54 13 12025 1451 679 3 55 14 12025 1451 680 3 56 14 12025 1451 681 3 57 14 12025 1451 682 3 58 14 12025 1451 683 3 59 14 12025 1451 684 3 60 14 12025 1451 685 3 61 14 12025 1451 686 3 62 14 12025 1451 687 3 63 13 12025 1451 688 3 64 13 12025 1451 689 3 65 13 12025 1451 690 3 66 13 12025 1451 691 3 67 13 12025 1451 692 3 68 12 12025 1451 693 3 69 12 12025 1451 694 3 70 12 12025 1451 695 3 91 12 12025 1451 696 3 102 2160 12025 1451 697 3 103 23 12025 1451 698 3 104 15 12025 1451 699 3 105 8 12025 1451 700 3 106 11 12025 1451 701 3 107 926 12025 1451 702 3 108 11 12025 1451 703 3 111 10 12025 1451 704 3 112 10 12025 1451 705 3 115 7 12025 1451 706 3 117 6 12025 1451 707 3 600 20 12025 1451 708 3 601 21 12025 1451 709 3 602 20 12025 1451 710 3 603 21 12025 1451 711 3 604 18 12025 1451 712 3 605 18 12025 1451 713 3 606 18 12025 1451 714 3 607 18 12025 1451 715 3 608 18 12025 1451 716 3 609 17 12025 1451 717 3 610 18 12025 1451 718 3 649 16 12025 1451 719 3 650 12 12025 1451 720 3 651 10 12025 1451 721 3 652 9 12025 1451 722 3 653 10 12025 1451 723 3 654 10 12025 1451 724 3 655 8 12025 1451 725 3 699 9 12025 1451 726 3 700 7 12025 1451 727 3 701 7 12025 1451 728 3 702 7 12025 1451 729 3 703 6 12025 1451 730 3 704 6 12025 1451 731 3 705 6 12025 1451 732 3 749 6 12025 1451 733 3 750 11 12025 1451 734 3 751 10 12025 1451 735 3 752 9 12025 1451 736 3 753 8 12025 1451 737 3 754 8 12025 1451 738 3 755 8 12025 1451 739 3 799 7 12025 1451 740 3 800 283 12025 1451 741 3 801 206 12025 1451 742 3 802 207 12025 1451 743 3 803 78 12025 1451 744 3 804 74 12025 1451 745 3 805 73 12025 1451 746 3 806 72 12025 1451 747 3 807 73 12025 1451 748 3 808 69 12025 1451 749 3 809 69 12025 1451 750 3 810 72 12025 1451 751 3 849 58 12025 1451 752 4 2 1227 12025 1451 753 6 5 8854 12025 1451 754 6 16 128 12025 1451 755 6 22 781 12025 1451 756 6 28 602 12025 1451 757 6 29 138 12025 1451 758 6 44 205 12025 1451 759 6 45 168 12025 1451 760 6 51 104 12025 1451 761 6 52 108 12025 1451 762 6 53 106 12025 1451 763 6 54 97 12025 1451 764 6 55 89 12025 1451 765 6 56 91 12025 1451 766 6 57 90 12025 1451 767 6 58 83 12025 1451 768 6 59 85 12025 1451 769 6 60 83 12025 1451 770 6 61 80 12025 1451 771 6 62 81 12025 1451 772 6 63 86 12025 1451 773 6 64 79 12025 1451 774 6 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1892 85322.8453 .434561492 85325.0894 .433851230 85327.3336 .4331488152025 3 1 1893 85329.5777 .432453732 85334.0659 .431083319 85338.5542 .4297359612025 3 1 1894 85343.0425 .428408203 85347.5308 .427097009 85352.0190 .4257997752025 3 1 1895 85353.2023 .425460840 85356.5073 .425135686 85360.9956 .4247038512025 3 1 1896 85364.3618 .424385364 85367.7280 .424070823 85371.2315 .4237470772025 3 1 1897 85374.8036 .423420269 85378.3757 .423096297 85384.7179 .4225272302025 3 1 1898 85385.5200 .422489733 85392.6643 .422162854 85397.4271 .4219479012025 3 1 1899 85406.9528 .421523176 85414.0971 .421207950 85426.0042 .4206867902025 3 1 1900 85435.5299 .420272451 85445.0555 .419859680 85459.3441 .4192425742025 3 1 1901 85483.1582 .418217744 85502.2096 .417400122 85539.2807 .4158129892025 3 1 1902 85566.3103 .414658035 85620.3694 .412351937 85683.4384 .4096656622025 3 1 1903 85773.5369 .405832737 85809.5763 .404300580 85887.7635 .4009784762025 3 1 1904 85936.6306 .398230807 86031.9213 .392875094 86127.2120 .3875208362025 3 1 1905 86222.5027 .382167900 86317.7933 .376816252 86474.1677 .3680372022025 3 1 1906 86493.7146 .366713790 86581.6752 .360760395 86669.6358 .3548084962025 3 1 1907 86757.5964 .348858307 86909.0842 .338615534 87031.2517 .3303607972025 3 1 1908 87153.4193 .322112686 87214.5031 .317991735 87322.0105 .3107451522025 3 1 1909 87346.4439 .309100313 87414.8579 .305264333 87500.3750 .3004782362025 3 1 1910 87507.7052 .300199388 87554.1288 .298437919 87600.5525 .2966800712025 3 1 1911 87602.9958 .296587775 87646.9761 .295990129 87692.7890 .2953725052025 3 1 1912 87695.3937 .295448823 87759.9505 .297350240 87804.3037 .2986661492025 3 1 1913 87824.5073 .300627215 87889.0641 .306911278 87890.6550 .3070666702025 3 1 1914 87944.9310 .317141322 87964.6703 .320813076 87997.9014 .3306942582025 3 1 1915 88024.3865 .338579923 88026.3498 .339165573 88057.4930 .3524791222025 3 1 1916 88070.7355 .358152090 88075.6934 .360281997 88087.2888 .3670783872025 3 1 1917 88100.5314 .374867718 88112.1186 .381716125 88117.0845 .3846641962025 3 1 1918 88124.1215 .388863395 88126.7110 .390795628 88134.4122 .3965772682025 3 1 1919 88142.1134 .402398401 88147.8779 .406791712 88149.8145 .4086067822025 3 1 1920 88157.5157 .415882495 88161.3663 .419545204 88165.2168 .4232261272025 3 1 1921 88169.0674 .426926762 88172.9180 .430648305 88180.6191 .4381589542025 3 1 1922 88188.3203 .445767396 88189.4516 .446900501 88196.0215 .4552074262025 3 1 1923 88203.7227 .465054503 88213.3491 .477518923 88219.1250 .4850780612025 3 1 1924 88225.0861 .492963463 88230.6767 .501627338 88238.3779 .5136612292025 3 1 1925 88242.9033 .520771388 88260.7206 .551949470 88265.1209 .5608796942025 3 1 1926 88275.1692 .581165099 88288.8899 .608546365 88290.4160 .6115486002025 3 1 1927 88295.8393 .624498604 88301.5058 .637910330 88308.2457 .6537094152025 3 1 1928 88314.1056 .667301873 88319.3366 .679285669 88322.4144 .6875066532025 3 1 1929 88332.2096 .713310828 88333.7969 .717432093 88342.1154 .7415259282025 3 1 1930 88348.2572 .759092502 88353.6230 .776279650 88362.7175 .8051090582025 3 1 1931 88367.5617 .823184064 88388.0231 .899060156 88407.1237 .9860134152025 3 1 1932 88411.2541 1.00489208 88418.7621 1.04645072 88424.5813 1.078746962025 3 1 1933 88430.4005 1.11110724 88431.8768 1.11933390 88436.2197 1.148488982025 3 1 1934 88446.4033 1.21701975 88452.4994 1.25815985 88455.1321 1.278649602025 3 1 1935 88462.8108 1.33854117 88463.8609 1.34757914 88468.2253 1.385195162025 3 1 1936 88473.1221 1.42744342 88474.0445 1.43624375 88479.8637 1.491819332025 3 1 1937 88483.4334 1.52594411 88485.6829 1.55066990 88496.0395 1.664630692025 3 1 1938 88500.7625 1.71665825 88502.8455 1.74397605 88509.6515 1.833297552025 3 1 1939 88516.4576 1.92268355 88516.9938 1.92973068 88523.2636 2.027992072025 3 1 1940 88530.0696 2.13472472 88533.2251 2.18424342 88536.8756 2.249848512025 3 1 1941 88541.3408 2.33016589 88548.2190 2.47230504 88556.9637 2.653194232025 3 1 1942 88557.2937 2.66133097 88561.8310 2.77327635 88568.0114 2.925843652025 3 1 1943 88570.7614 2.99377416 88573.8791 3.08506231 88579.7468 3.256973292025 3 1 1944 88584.5591 3.39805238 88585.6145 3.43487954 88591.4822 3.639742842025 3 1 1945 88597.3499 3.84472802 88598.3567 3.87992188 88603.2176 4.081999182025 3 1 1946 88609.0853 4.32606208 88611.5954 4.43055337 88620.8207 4.881248362025 3 1 1947 88623.1572 4.99550391 88633.3742 5.57562341 88634.7190 5.652045222025 3 1 1948 88646.2808 6.41384710 88648.9740 6.61872251 88657.6051 7.275611022025 3 1 1949 88660.1168 7.49061537 88665.5641 7.95703293 88673.5232 8.705969282025 3 1 1950 88681.4823 9.52639595 88689.4413 10.4217615 88697.4003 11.39473632025 3 1 1951 88699.2170 11.6353180 88705.7156 12.4956940 88714.0309 13.68342542025 3 1 1952 88722.0428 14.9494959 88730.6614 16.3109244 88748.1044 19.41837062025 3 1 1953 88751.9219 20.0982061 88779.6544 25.4284279 88797.7492 28.90547992025 3 1 1954 88803.5342 30.0169075 88815.8440 32.1449954 88816.5019 32.25870212025 3 1 1955 88830.2840 34.2575881 88835.9534 35.0794352 88845.6791 36.17292032025 3 1 1956 88851.9439 36.6451275 88859.1638 37.1887878 88863.5828 37.52117902025 3 1 1957 88878.4730 37.9013465 88879.5416 37.9285274 88888.2116 37.72111102025 3 1 1958 88896.4036 37.5245991 88897.9502 37.4110187 88907.6888 36.69521962025 3 1 1959 88914.5626 36.1894140 88924.9392 35.0591201 88927.1659 34.74934722025 3 1 1960 88945.6924 32.1702745 88951.5123 31.2176948 88961.2573 29.62222502025 3 1 1961 88991.0901 24.4503177 89009.6439 21.2343785 89011.1665 20.99080332025 3 1 1962 89021.5995 19.3223203 89028.7898 18.2500987 89033.5551 17.53973832025 3 1 1963 89044.1855 16.1168889 89051.4885 15.1396728 89051.8833 15.09383572025 3 1 1964 89059.5812 14.2002794 89067.0534 13.3331671 89073.5388 12.68390832025 3 1 1965 89082.6183 11.7752914 89086.0584 11.4814472 89098.1832 10.44616442025 3 1 1966 89098.5780 10.4175793 89111.0976 9.51146319 89113.7481 9.319700752025 3 1 1967 89125.7602 8.59011105 89130.6666 8.29220116 89134.1630 8.115211502025 3 1 1968 89142.5658 7.68996012 89147.5849 7.43600694 89150.9685 7.292753182025 3 1 1969 89159.3713 6.93708011 89164.5033 6.71989778 89167.7741 6.600150582025 3 1 1970 89175.7822 6.30705559 89184.5796 6.01909059 89187.0611 5.937888392025 3 1 1971 89194.1103 5.73087483 89198.3400 5.60668717 89203.6410 5.467918782025 3 1 1972 89211.9029 5.25170435 89222.7023 5.01161006 89235.6732 4.723347182025 3 1 1973 89241.7637 4.61210655 89259.4435 4.28930831 89260.8250 4.267677642025 3 1 1974 89273.4574 4.06994377 89275.2904 4.04125748 89286.0898 3.890693042025 3 1 1975 89291.1372 3.82033575 89298.7222 3.73038562 89322.8309 3.444561012025 3 1 1976 89323.9869 3.43297640 89342.9638 3.24287103 89349.2517 3.189624982025 3 1 1977 89376.3210 2.96047984 89379.5920 2.93279835 89405.1950 2.755925572025 3 1 1978 89416.2202 2.67978226 89434.0690 2.57450064 89440.6391 2.535758252025 3 1 1979 89470.1615 2.38929861 89489.4767 2.29350541 89504.4494 2.230565692025 3 1 1980 89513.8955 2.19086884 89540.5419 2.09156636 89546.9709 2.067613722025 3 1 1981 89576.6344 1.97582810 89609.5688 1.87394959 89621.7500 1.843881052025 3 1 1982 89647.8043 1.77958343 89672.1668 1.71946993 89673.8586 1.715959982025 3 1 1983 89713.8987 1.63290808 89725.9672 1.61214596 89778.0758 1.522526642025 3 1 1984 89797.3626 1.48936370 89830.1843 1.44523831 89890.8648 1.363680052025 3 1 1985 89891.8799 1.36231598 89951.5453 1.29662947 89955.7185 1.292035862025 3 1 1986 89981.8856 1.26713800 90019.5571 1.23129840 90027.3960 1.225196722025 3 1 1987 90072.9063 1.18977806 90118.0220 1.15467139 90147.2343 1.131942622025 3 1 1988 90163.1376 1.12252346 90208.2532 1.09580616 90298.4845 1.042380622025 3 1 1989 90306.8308 1.03743973 90388.7157 .998608472 90409.5817 .9887153862025 3 1 1990 90498.1211 .953308946 90526.3183 .942034826 90562.4109 .9306700062025 3 1 1991 90626.7007 .910428970 90755.2802 .869953100 90759.7917 .8685331392025 3 1 1992 90883.8597 .838880412 90948.1494 .823516870 90993.2650 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