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 1800.00000 0.0 1 0 648 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 1800.00000 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 FIXUP (Version 2007-1) ****************2025 1451 637 Corrected ZA/AWR in All Sections-----------------------------Yes 2025 1451 638 Corrected Thresholds-----------------------------------------No 2025 1451 639 Extended Cross Sections to 20 MeV----------------------------No 2025 1451 640 Allow Cross Section Deletion---------------------------------Yes 2025 1451 641 Allow Cross Section Reconstruction---------------------------Yes 2025 1451 642 Make All Cross Sections Non-Negative-------------------------Yes 2025 1451 643 Delete Energies Not in Ascending Order-----------------------Yes 2025 1451 644 Deleted Duplicate Points-------------------------------------Yes 2025 1451 645 Check for Ascending MAT/MF/MT Order--------------------------Yes 2025 1451 646 Check for Legal MF/MT Numbers--------------------------------Yes 2025 1451 647 Allow Creation of Missing Sections---------------------------No 2025 1451 648 Allow Insertion of Energy Points-----------------------------No 2025 1451 649 Create Uniform Energy Grid-----------------------------------No 2025 1451 650 Delete Section if Cross Section =0 at All Energies-----------Yes 2025 1451 651 **************** Program DICTIN (VERSION 2007-1) ****************2025 1451 652 1 451 821 12025 1451 653 2 151 140 12025 1451 654 3 1 5087 12025 1451 655 3 2 2007 12025 1451 656 3 4 24 12025 1451 657 3 5 24 12025 1451 658 3 16 5 12025 1451 659 3 22 10 12025 1451 660 3 28 10 12025 1451 661 3 29 5 12025 1451 662 3 44 6 12025 1451 663 3 45 5 12025 1451 664 3 51 18 12025 1451 665 3 52 13 12025 1451 666 3 53 15 12025 1451 667 3 54 13 12025 1451 668 3 55 14 12025 1451 669 3 56 14 12025 1451 670 3 57 14 12025 1451 671 3 58 14 12025 1451 672 3 59 14 12025 1451 673 3 60 14 12025 1451 674 3 61 14 12025 1451 675 3 62 14 12025 1451 676 3 63 13 12025 1451 677 3 64 13 12025 1451 678 3 65 13 12025 1451 679 3 66 13 12025 1451 680 3 67 13 12025 1451 681 3 68 12 12025 1451 682 3 69 12 12025 1451 683 3 70 12 12025 1451 684 3 91 12 12025 1451 685 3 102 2459 12025 1451 686 3 103 23 12025 1451 687 3 104 15 12025 1451 688 3 105 8 12025 1451 689 3 106 11 12025 1451 690 3 107 908 12025 1451 691 3 108 11 12025 1451 692 3 111 10 12025 1451 693 3 112 10 12025 1451 694 3 115 7 12025 1451 695 3 117 6 12025 1451 696 3 600 20 12025 1451 697 3 601 21 12025 1451 698 3 602 20 12025 1451 699 3 603 21 12025 1451 700 3 604 18 12025 1451 701 3 605 18 12025 1451 702 3 606 18 12025 1451 703 3 607 18 12025 1451 704 3 608 18 12025 1451 705 3 609 17 12025 1451 706 3 610 18 12025 1451 707 3 649 16 12025 1451 708 3 650 12 12025 1451 709 3 651 10 12025 1451 710 3 652 9 12025 1451 711 3 653 10 12025 1451 712 3 654 10 12025 1451 713 3 655 8 12025 1451 714 3 699 9 12025 1451 715 3 700 7 12025 1451 716 3 701 7 12025 1451 717 3 702 7 12025 1451 718 3 703 6 12025 1451 719 3 704 6 12025 1451 720 3 705 6 12025 1451 721 3 749 6 12025 1451 722 3 750 11 12025 1451 723 3 751 10 12025 1451 724 3 752 9 12025 1451 725 3 753 8 12025 1451 726 3 754 8 12025 1451 727 3 755 8 12025 1451 728 3 799 7 12025 1451 729 3 800 280 12025 1451 730 3 801 191 12025 1451 731 3 802 190 12025 1451 732 3 803 78 12025 1451 733 3 804 74 12025 1451 734 3 805 73 12025 1451 735 3 806 72 12025 1451 736 3 807 73 12025 1451 737 3 808 69 12025 1451 738 3 809 69 12025 1451 739 3 810 72 12025 1451 740 3 849 58 12025 1451 741 4 2 1227 12025 1451 742 6 5 8854 12025 1451 743 6 16 128 12025 1451 744 6 22 781 12025 1451 745 6 28 602 12025 1451 746 6 29 138 12025 1451 747 6 44 205 12025 1451 748 6 45 168 12025 1451 749 6 51 104 12025 1451 750 6 52 108 12025 1451 751 6 53 106 12025 1451 752 6 54 97 12025 1451 753 6 55 89 12025 1451 754 6 56 91 12025 1451 755 6 57 90 12025 1451 756 6 58 83 12025 1451 757 6 59 85 12025 1451 758 6 60 83 12025 1451 759 6 61 80 12025 1451 760 6 62 81 12025 1451 761 6 63 86 12025 1451 762 6 64 79 12025 1451 763 6 65 81 12025 1451 764 6 66 83 12025 1451 765 6 67 82 12025 1451 766 6 68 71 12025 1451 767 6 69 73 12025 1451 768 6 70 72 12025 1451 769 6 91 740 12025 1451 770 6 102 1079 12025 1451 771 6 108 599 12025 1451 772 6 111 518 12025 1451 773 6 112 797 12025 1451 774 6 115 290 12025 1451 775 6 117 252 12025 1451 776 6 600 57 12025 1451 777 6 601 66 12025 1451 778 6 602 63 12025 1451 779 6 603 69 12025 1451 780 6 604 66 12025 1451 781 6 605 63 12025 1451 782 6 606 63 12025 1451 783 6 607 66 12025 1451 784 6 608 66 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435000.000 .500000000 8241.00000 8240.00000 1.00000000 0.0 2025 2151 841 507000.000 .500000000 10001.0000 10000.0000 1.00000000 0.0 2025 2151 842 591000.000 .500000000 55001.0000 55000.0000 1.00000000 0.0 2025 2151 843 635500.000 .500000000 2001.00000 2000.00000 1.00000000 0.0 2025 2151 844 675000.000 .500000000 2701.00000 2700.00000 1.00000000 0.0 2025 2151 845 738200.000 .500000000 3201.00000 3200.00000 1.00000000 0.0 2025 2151 846 742800.000 .500000000 4401.00000 4400.00000 1.00000000 0.0 2025 2151 847 771500.000 .500000000 12001.0000 12000.0000 1.00000000 0.0 2025 2151 848 792500.000 .500000000 2401.00000 2400.00000 1.00000000 0.0 2025 2151 849 823000.000 .500000000 3501.00000 3500.00000 1.00000000 0.0 2025 2151 850 861800.000 .500000000 29001.0000 29000.0000 1.00000000 0.0 2025 2151 851 878700.000 .500000000 31001.0000 31000.0000 1.00000000 0.0 2025 2151 852 970000.000 .500000000 7201.00000 7200.00000 1.00000000 0.0 2025 2151 853 1003900.00 .500000000 11001.0000 11000.0000 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.9159033972025 3 1 1888 62696.3100 .914625646 62697.2719 .913414678 62698.2338 .9122679862025 3 1 1889 62699.1957 .911182935 62700.1576 .910156799 62701.8410 .9084943322025 3 1 1890 62703.2838 .907194734 62704.0854 .906518897 62704.8870 .9058739972025 3 1 1891 62705.6886 .905258429 62706.4902 .904670614 62707.2918 .9041090102025 3 1 1892 62708.0934 .903572110 62708.8950 .903058447 62708.9217 .9030420642025 3 1 1893 62709.6966 .902780031 62710.4982 .902529419 62711.2998 .9022979372025 3 1 1894 62712.5022 .901983826 62713.7046 .901705874 62714.9070 .9014603132025 3 1 1895 62716.1094 .901243653 62717.3118 .901052683 62718.5142 .9008844602025 3 1 1896 62719.7166 .900736307 62720.9190 .900605791 62722.1214 .9004907232025 3 1 1897 62723.3238 .900389134 62724.5262 .900299267 62725.7286 .9002195542025 3 1 1898 62726.9310 .900148613 62728.1601 .900083888 62729.4426 .9000235242025 3 1 1899 62730.7252 .899969365 62732.0078 .899920440 62733.2904 .8998759132025 3 1 1900 62734.1454 .899848314 62735.0005 .899822158 62735.8555 .8997972872025 3 1 1901 62737.5656 .899750804 62739.2757 .899707857 62741.4132 .8996579462025 3 1 1902 62742.6958 .899629544 62744.8334 .899584141 62746.5435 .8995491482025 3 1 1903 62749.9636 .899481592 62752.5288 .899432338 62758.5140 .8993199842025 3 1 1904 62763.6442 .899225160 62775.6147 .899006073 62792.6141 .8986972882025 3 1 1905 62818.0118 .898238423 62853.5685 .897598406 62884.0457 .8970508802025 3 1 1906 62924.6819 .896321617 62989.6817 .895156042 63079.0451 .8935543882025 3 1 1907 63302.4533 .889551474 64332.4033 .871100693 64668.6517 .8650774262025 3 1 1908 65046.5250 .858309448 65192.2125 .855701395 65275.4625 .8542124862025 3 1 1909 65327.4938 .853283489 65364.6788 .852621347 65391.4575 .8521464142025 3 1 1910 65402.1690 .851957223 65412.8805 .851768714 65420.9142 .8516279332025 3 1 1911 65429.5305 .851477721 65435.4690 .851374822 65441.4075 .8512726412025 3 1 1912 65445.8614 .851196680 65450.3153 .851121615 65455.5115 .8510359692025 3 1 1913 65457.7384 .851000314 65461.4500 .850943228 65464.4192 .8509008172025 3 1 1914 65465.9039 .850881212 65468.1308 .850854572 65469.2443 .8508428222025 3 1 1915 65470.3577 .850832363 65471.4643 .850823468 65473.2854 .8508127642025 3 1 1916 65474.7423 .850808517 65476.1991 .850809022 65477.6560 .8508152932025 3 1 1917 65479.1129 .850828539 65479.8413 .850838213 65480.5698 .8508501872025 3 1 1918 65481.2982 .850864672 65482.0266 .850881905 65482.7550 .8509021422025 3 1 1919 65483.4835 .850925657 65484.2119 .850952738 65484.9404 .8509837092025 3 1 1920 65485.6688 .851018899 65486.3973 .851058681 65487.1257 .8511034332025 3 1 1921 65487.8541 .851153573 65488.5825 .851209543 65489.3110 .8512718222025 3 1 1922 65490.0394 .851340893 65490.7679 .851417304 65491.4963 .8515015962025 3 1 1923 65492.2248 .851594385 65492.9532 .851696271 65493.6816 .8518079252025 3 1 1924 65494.4100 .851930041 65495.2425 .852189487 65496.0750 .8524646892025 3 1 1925 65496.9075 .852756848 65497.7400 .853067222 65498.5725 .8533971262025 3 1 1926 65499.4050 .853747933 65500.2375 .854121067 65501.0700 .8545180092025 3 1 1927 65501.9025 .854940286 65502.7350 .855389470 65503.5675 .8558671762025 3 1 1928 65504.4000 .856375055 65505.2325 .856914786 65506.8975 .8580966372025 3 1 1929 65508.5625 .859426508 65510.2275 .860918157 65511.8925 .8625850022025 3 1 1930 65512.8638 .863643383 65513.9044 .864850925 65515.9857 .8675050272025 3 1 1931 65518.0669 .870492210 65519.1075 .872114948 65520.4950 .8744148692025 3 1 1932 65521.8825 .876871159 65523.2700 .879482933 65524.7790 .8824965842025 3 1 1933 65527.7968 .889036308 65529.8087 .893739376 65532.0460 .8992372102025 3 1 1934 65540.8913 .922183428 65543.9438 .929751824 65546.4413 .9354560682025 3 1 1935 65548.5225 .939742501 65550.7425 .943736785 65552.5463 .9464753112025 3 1 1936 65554.4888 .948859448 65556.4035 .950592401 65558.7900 .9516102082025 3 1 1937 65559.8881 .951780953 65561.7870 .951147355 65563.4520 .9500562662025 3 1 1938 65566.8375 .946358274 65568.5025 .943861789 65570.7225 .9399131822025 3 1 1939 65572.8038 .935646558 65575.3013 .929934316 65578.2150 .9226646682025 3 1 1940 65587.0950 .899166211 65589.3498 .893441112 65591.6044 .8879864772025 3 1 1941 65593.4082 .883857369 65596.2767 .877779496 65598.8989 .8727884322025 3 1 1942 65600.2100 .870501506 65601.5211 .868353751 65602.8322 .8663435962025 3 1 1943 65604.7987 .863580356 65606.8095 .861054668 65607.8149 .8598999662025 3 1 1944 65608.8203 .858813966 65609.8257 .857793920 65610.8311 .8568369622025 3 1 1945 65612.5906 .855305145 65612.8419 .855108747 65614.0987 .8543070932025 3 1 1946 65615.6068 .853458329 65617.1149 .852712627 65618.6230 .8520601372025 3 1 1947 65620.1311 .851491400 65621.5261 .851032075 65622.8080 .8506606442025 3 1 1948 65624.0899 .850332702 65625.3718 .850043702 65626.6537 .8497894222025 3 1 1949 65627.9355 .849565985 65629.2174 .849369790 65630.4993 .8491976012025 3 1 1950 65631.7812 .849046473 65633.0631 .848913749 65634.3449 .8487970522025 3 1 1951 65635.6268 .848694237 65636.9087 .848603427 65638.1906 .8485229502025 3 1 1952 65639.4725 .848451340 65640.7544 .848387307 65642.2498 .8483207022025 3 1 1953 65643.1044 .848285988 65643.9590 .848253394 65644.8135 .8482226972025 3 1 1954 65645.6681 .848193689 65647.3773 .848140025 65648.2318 .8481150612025 3 1 1955 65649.2875 .848085666 65650.3432 .848057668 65652.4546 .8480051082025 3 1 1956 65654.5659 .847956120 65657.3810 .847894761 65658.7886 .8478653242025 3 1 1957 65660.8999 .847822305 65665.1225 .847739114 65670.7527 .8476316522025 3 1 1958 65679.1980 .847474031 65690.4584 .847266999 65704.1318 .8470181592025 3 1 1959 65714.9901 .846821804 65736.7066 .846431172 65765.6620 .8459128722025 3 1 1960 65787.3786 .845525245 65834.8332 .844679948 65912.0475 .8433070152025 3 1 1961 66015.0000 .841478232 66124.9709 .839525683 66595.0668 .8311815222025 3 1 1962 68035.5670 .805615816 71349.1503 .746808521 73100.6717 .7157243492025 3 1 1963 74662.7335 .688002507 76769.4545 .648457064 77976.3168 .6258036802025 3 1 1964 78804.7126 .608788606 79840.2074 .587520611 80254.4053 .5790138452025 3 1 1965 81082.8011 .560127756 81672.9000 .546675467 82055.9000 .5368550232025 3 1 1966 82438.9000 .527035278 82821.9000 .517216123 82917.6500 .5147615932025 3 1 1967 83326.1195 .502570401 83695.5230 .491546890 83951.7500 .4839023202025 3 1 1968 84171.9750 .477333893 84267.7250 .474479142 84339.5375 .4723387702025 3 1 1969 84459.2250 .468773599 84543.1499 .466276222 84615.2497 .4641337192025 3 1 1970 84651.2995 .463064075 84699.3660 .461640465 84735.5595 .4610971922025 3 1 1971 84771.7530 .460557508 84803.4224 .460089610 84830.5675 .4596932752025 3 1 1972 84844.1400 .459497362 84856.7073 .459317696 84859.4600 .4592789692025 3 1 1973 84877.6525 .460018826 84894.4088 .460705988 84902.7869 .4610520672025 3 1 1974 84917.6282 .461670428 84930.5544 .462216120 84937.0175 .4624921682025 3 1 1975 84943.4807 .462770836 84954.7912 .463266270 84959.6385 .4634823102025 3 1 1976 84965.2638 .463736462 84966.7000 .463802372 84970.0513 .4643974402025 3 1 1977 84974.8388 .465251220 84983.2169 .466756389 84990.3982 .4680613632025 3 1 1978 84993.9888 .468720749 84995.4250 .468987874 84999.9732 .4706270332025 3 1 1979 85005.0599 .472479609 85007.3938 .473337940 85009.7278 .4742031672025 3 1 1980 85011.7025 .474945247 85013.6175 .476251795 85016.7294 .4783988782025 3 1 1981 85018.2854 .479482915 85019.8413 .480575412 85021.3973 .4816779312025 3 1 1982 85021.7563 .481936139 85024.1202 .484762898 85025.2871 .4861718312025 3 1 1983 85026.6635 .487846109 85027.8604 .489314352 85028.4588 .4900548762025 3 1 1984 85029.0573 .491327602 85030.2541 .493887124 85031.4510 .4964630982025 3 1 1985 85032.6479 .499057235 85033.8448 .501671659 85035.9393 .5063026982025 3 1 1986 85036.5975 .507782190 85037.7346 .511689225 85039.5299 .5179295332025 3 1 1987 85040.1882 .520248311 85041.3252 .525496921 85043.1206 .5338813892025 3 1 1988 85043.7788 .536995935 85044.9158 .544344260 85046.6513 .5556815762025 3 1 1989 85048.5663 .568348977 85050.4813 .584854282 85050.9600 .5890335212025 3 1 1990 85052.3963 .603749331 85053.2341 .612438353 85054.3113 .6254348552025 3 1 1991 85055.5082 .640043752 85056.2263 .650186460 85057.7823 .6724067962025 3 1 1992 85058.1413 .678305291 85060.0563 .710098634 85061.2532 .7330008252025 3 1 1993 85062.3304 .753801337 85063.4075 .778154927 85065.5619 .8273868932025 3 1 1994 85065.7415 .831525618 85066.6391 .856120257 85069.1525 .9255551442025 3 1 1995 85070.5888 .972536687 85072.7432 1.04360005 85073.2219 1.061436732025 3 1 1996 85075.0173 1.12888157 85075.1369 1.13340401 85076.8125 1.202493132025 3 1 1997 85077.5307 1.23228177 85078.6079 1.28220595 85080.4032 1.365836792025 3 1 1998 85082.3182 1.45572629 85084.4725 1.56984184 85087.3450 1.723033172025 3 1 1999 85088.3025 1.77438673 85097.4945 2.29865346 85100.9415 2.483774402025 3 1 2000 85101.5160 2.51431480 85104.3885 2.65339884 85106.1120 2.723503092025 3 1 2001 85109.1760 2.84524729 85110.6123 2.88952176 85111.4740 2.915134232025 3 1 2002 85114.2508 2.97713023 85114.7295 2.98378919 85116.8360 3.011186432025 3 1 2003 85116.8361 3.01118765 85119.1340 3.02083404 85119.9000 3.017966992025 3 1 2004 85121.6044 3.01018096 85122.1023 3.00245477 85124.4960 2.963604272025 3 1 2005 85125.8365 2.94064904 85128.1345 2.87687499 85128.5175 2.865849502025 3 1 2006 85131.0070 2.77639327 85132.2518 2.72361581 85133.8795 2.653057522025 3 1 2007 85136.7520 2.51211466 85136.9435 2.50183592 85140.1033 2.329817522025 3 1 2008 85143.2630 2.14654638 85150.5400 1.72238535 85151.4497 1.669527642025 3 1 2009 85153.4125 1.56155151 85154.8488 1.48288813 85156.2850 1.410892192025 3 1 2010 85159.6363 1.24410067 85159.9954 1.22844619 85161.7907 1.150800042025 3 1 2011 85163.5860 1.07358430 85163.8254 1.06336633 85166.5782 .9617661982025 3 1 2012 85167.4160 .931168970 85169.2113 .875108515 85170.6475 .8306561262025 3 1 2013 85171.0066 .819609187 85172.0838 .791859440 85173.5200 .7551241312025 3 1 2014 85174.5973 .727804515 85175.6744 .705376832 85177.8288 .6610501382025 3 1 2015 85178.1879 .653724116 85178.9060 .641926181 85180.2225 .6204564422025 3 1 2016 85181.7785 .595319877 85182.1375 .590729297 85184.0525 .5665632362025 3 1 2017 85185.3691 .550148712 85185.9675 .544465472 85187.8825 .5265395952025 3 1 2018 85189.5582 .511057996 85189.7975 .509478588 85191.7125 .4970461102025 3 1 2019 85193.6275 .484795493 85194.3457 .480259784 85195.4827 .4749141962025 3 1 2020 85196.7394 .469092660 85197.2781 .467145357 85199.0733 .4607621582025 3 1 2021 85200.3300 .456358106 85200.8687 .455159597 85202.6640 .4512447512025 3 1 2022 85204.4593 .447398057 85206.5538 .442983302 85207.5113 .4409893502025 3 1 2023 85207.7507 .440752609 85208.9475 .439588315 85210.1444 .4384411172025 3 1 2024 85211.3413 .437309280 85213.7350 .435085337 85215.0816 .4338540592025 3 1 2025 85216.4281 .432634950 85217.0863 .432046460 85219.1210 .4315089472025 3 1 2026 85221.8140 .430830110 85223.6093 .430391820 85225.4046 .4299627982025 3 1 2027 85228.9952 .429126870 85230.7906 .428717693 85233.4835 .4281125492025 3 1 2028 85236.1765 .427515732 85238.6300 .426980528 85241.5624 .4268458762025 3 1 2029 85244.8538 .426703998 85248.4444 .426555291 85255.6257 .4262724392025 3 1 2030 85259.2163 .426136739 85264.0038 .425960517 85268.7913 .4257888362025 3 1 2031 85278.3663 .425456380 85289.1382 .425095721 85300.8675 .4247148112025 3 1 2032 85307.5700 .424501401 85320.9750 .424081737 85334.3800 .4236695032025 3 1 2033 85351.6150 .423147523 85368.8500 .422632198 85381.7763 .4222489912025 3 1 2034 85394.7025 .421868000 85408.0747 .421475757 85422.3385 .4210590982025 3 1 2035 85450.8663 .420229950 85465.7905 .419798046 85469.8847 .4196268992025 3 1 2036 85507.9216 .418040889 85555.4677 .416063609 85609.2215 .4138327162025 3 1 2037 85649.5368 .412161646 85716.7290 .409379121 85731.3890 .4087726022025 3 1 2038 85809.5763 .404839997 85868.2167 .401892026 85956.1773 .3974716242025 3 1 2039 86044.1379 .393052592 86083.2316 .391089355 86220.0592 .3831612792025 3 1 2040 86395.9805 .372972377 86435.0741 .370709233 86571.9018 .3614035952025 3 1 2041 86659.8624 .355423509 86747.8230 .349445097 86894.4240 .3394855422025 3 1 2042 86982.3846 .333513001 87055.6852 .328538146 87128.9857 .3235658122025 3 1 2043 87202.2863 .318596357 87300.0203 .311975863 87344.0006 .3090001332025 3 1 2044 87397.7543 .305882234 87446.6213 .303051373 87490.6016 .3005061682025 3 1 2045 87495.4883 .300339732 87544.3553 .298678658 87593.2224 .2970213802025 3 1 2046 87642.0894 .295368509 87661.6362 .294709984 87695.8431 .2944715462025 3 1 2047 87715.3899 .294955881 87789.3769 .296804584 87803.3505 .2971563722025 3 1 2048 87827.0568 .298846343 87852.2175 .300643842 87864.7367 .3020621542025 3 1 2049 87901.0845 .306186779 87902.4167 .306433410 87940.0965 .3134171842025 3 1 2050 87975.2922 .319952111 87998.6553 .326864550 88032.0941 .3367708912025 3 1 2051 88037.1320 .338265426 88076.6792 .355049807 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