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 1200000.00 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 1200000.00 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 3620 12025 1451 666 3 2 1532 12025 1451 667 3 4 24 12025 1451 668 3 5 75 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 1239 12025 1451 697 3 103 164 12025 1451 698 3 104 15 12025 1451 699 3 105 8 12025 1451 700 3 106 11 12025 1451 701 3 107 1031 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 78 12025 1451 708 3 601 77 12025 1451 709 3 602 86 12025 1451 710 3 603 84 12025 1451 711 3 604 86 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 3 800 289 12025 1451 741 3 801 221 12025 1451 742 3 802 221 12025 1451 743 3 803 126 12025 1451 744 3 804 121 12025 1451 745 3 805 120 12025 1451 746 3 806 118 12025 1451 747 3 807 117 12025 1451 748 3 808 117 12025 1451 749 3 809 117 12025 1451 750 3 810 116 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 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153732.915 .274945315 153781.202 .2706287212025 3 1 1880 153864.324 .263214230 153947.447 .255813911 153950.771 .2555184772025 3 1 1881 154030.569 .249761925 154110.366 .244015696 154113.692 .2438227432025 3 1 1882 154196.814 .239009626 154279.936 .234204132 154335.351 .2310040452025 3 1 1883 154390.766 .227806434 154429.555 .225570373 154501.596 .2222933642025 3 1 1884 154612.426 .217258549 154695.547 .213485876 154778.670 .2097154092025 3 1 1885 154908.340 .203837773 154944.914 .202430591 155028.036 .1992346912025 3 1 1886 155138.865 .194975527 155305.110 .188591124 155471.355 .1822129732025 3 1 1887 155554.477 .179026901 155693.014 .173722500 155706.313 .1732140752025 3 1 1888 155803.843 .169873036 155914.673 .166083622 156025.502 .1623030442025 3 1 1889 156080.917 .160599145 156136.332 .158898087 156191.747 .1572000912025 3 1 1890 156247.162 .155505370 156302.577 .153814132 156344.691 .1525316292025 3 1 1891 156357.992 .152180990 156468.821 .149271054 156579.651 .1463776242025 3 1 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159711.311 .1826581982025 3 1 1905 159782.051 .193254014 159866.849 .207500842 159882.068 .2100683562025 3 1 1906 159984.513 .228804310 160298.285 .286301812 160360.546 .2976797812025 3 1 1907 160415.949 .306504384 160540.846 .326274333 160583.411 .3314749512025 3 1 1908 160706.849 .346359480 160734.680 .348750968 160799.182 .3542007762025 3 1 1909 160816.426 .355172090 160893.066 .359403665 160897.824 .3595068672025 3 1 1910 161000.000 .361588857 161009.566 .361770947 161082.074 .3607681132025 3 1 1911 161096.743 .360541314 161188.595 .356534138 161228.760 .3537479032025 3 1 1912 161269.796 .350823186 161365.840 .341673031 161371.188 .3410384912025 3 1 1913 161469.306 .329233971 161531.953 .320481997 161572.770 .3147229272025 3 1 1914 161740.410 .287947924 162040.424 .239837929 162062.127 .2363694082025 3 1 1915 162214.708 .215493946 162233.402 .212952640 162345.421 .2006973352025 3 1 1916 162355.740 .199575770 162410.778 .194802542 162435.564 .1926661192025 3 1 1917 162476.134 .190141809 162555.300 .185276099 162585.061 .1843603252025 3 1 1918 162672.203 .181757276 162675.036 .181674998 162714.948 .1813640712025 3 1 1919 162759.345 .181983581 162834.684 .183098325 162846.487 .1836626542025 3 1 1920 162933.629 .187902827 162954.420 .188929782 162998.985 .1925501242025 3 1 1921 163064.177 .197893451 163086.127 .200239655 163134.023 .2053980222025 3 1 1922 163173.269 .210384170 163203.869 .214289959 163216.840 .2161959882025 3 1 1923 163273.714 .224579271 163277.056 .225168372 163376.926 .2428400142025 3 1 1924 163413.406 .249326002 163493.442 .266628631 163553.097 .2795769312025 3 1 1925 163626.603 .297893532 163647.460 .303108266 163741.822 .3291501342025 3 1 1926 163793.053 .344624146 163836.184 .357683110 163930.546 .3887318112025 3 1 1927 164024.908 .422288944 164122.065 .459509591 164192.536 .4885394322025 3 1 1928 164220.618 .500094549 164417.162 .590014408 164417.724 .5902708782025 3 1 1929 164581.979 .675374334 164600.093 .685732146 164691.558 .7379358172025 3 1 1930 164694.246 .739467833 164782.709 .794277216 164806.513 .8090054052025 3 1 1931 164874.516 .854843370 164915.086 .882139824 165046.611 .9819219822025 3 1 1932 165097.341 1.02033281 165205.347 1.11302460 165214.704 1.122192162025 3 1 1933 165385.356 1.28916704 165411.840 1.31936768 165529.364 1.453264052025 3 1 1934 165630.349 1.58272557 165717.294 1.70481041 165804.239 1.837582872025 3 1 1935 165855.395 1.92246529 165891.184 1.98185989 165978.129 2.138427832025 3 1 1936 166003.246 2.18926190 166146.222 2.47874384 166206.119 2.618626982025 3 1 1937 166308.519 2.85788365 166368.416 3.01883951 166408.990 3.127897932025 3 1 1938 166497.865 3.36684612 166571.287 3.58646985 166606.064 3.690525402025 3 1 1939 166652.435 3.84419060 166756.480 4.18903944 166822.460 4.407766122025 3 1 1940 166860.524 4.55027854 167068.611 5.32952676 167092.955 5.420707272025 3 1 1941 167207.336 5.89155329 167688.045 7.87058891 167722.050 7.999892572025 3 1 1942 167885.275 8.62048956 167996.796 9.04441096 168130.498 9.483707152025 3 1 1943 168157.316 9.55440706 168374.949 10.1278749 168383.218 10.14965292025 3 1 1944 168591.886 10.5045340 168592.581 10.5050433 168715.618 10.59507192025 3 1 1945 168811.373 10.6650625 168838.655 10.6671542 168874.360 10.66985222025 3 1 1946 169000.334 10.6251300 169084.728 10.5484714 169126.308 10.51064972025 3 1 1947 169330.802 10.1712195 169378.255 10.0924145 169504.228 9.802147992025 3 1 1948 169515.357 9.77185952 169693.189 9.28778607 169719.079 9.204451532025 3 1 1949 170136.414 7.86102120 170215.244 7.60092011 170423.912 6.912469622025 3 1 1950 170624.852 6.24960503 170702.136 6.02268017 170834.003 5.635544982025 3 1 1951 170949.446 5.29666255 170965.869 5.25361352 171097.736 4.907995542025 3 1 1952 171111.743 4.87128795 171229.602 4.59716119 171382.238 4.242205492025 3 1 1953 171454.209 4.09440811 171521.350 3.95655718 171649.352 3.716027052025 3 1 1954 171660.462 3.69515387 171799.574 3.45649133 171844.495 3.389326422025 3 1 1955 172039.638 3.09761033 172077.798 3.04057559 172251.687 2.824609952025 3 1 1956 172356.022 2.69504845 172383.071 2.66724098 172514.454 2.532190632025 3 1 1957 172645.838 2.39715408 172657.431 2.38523995 172777.221 2.279034182025 3 1 1958 172819.728 2.24135298 173039.988 2.07264097 173144.322 1.992739712025 3 1 1959 173318.212 1.88223190 173468.916 1.78647347 173480.510 1.780285822025 3 1 1960 173642.807 1.69367868 173793.510 1.61326642 173805.104 1.607873912025 3 1 1961 174009.907 1.51263126 174129.698 1.46240839 174226.303 1.421913382025 3 1 1962 174454.292 1.33927888 174659.095 1.26506074 174805.936 1.220720732025 3 1 1963 175091.888 1.13439081 175130.530 1.12455514 175401.025 1.055720452025 3 1 1964 175524.680 1.02426133 175617.422 1.00366686 175779.719 .9676394052025 3 1 1965 175787.447 .965924430 175860.868 .951315469 175942.016 .9351736102025 3 1 1966 176050.214 .913661007 176077.264 .909181089 176185.462 .8912757012025 3 1 1967 176291.728 .873705026 176392.198 .857109090 176492.668 .8405319132025 3 1 1968 176510.057 .837666547 176593.138 .827797771 176693.607 .8158882402025 3 1 1969 176794.077 .804006179 176894.547 .792154372 176904.207 .7910179682025 3 1 1970 176995.017 .783697288 177095.486 .775632029 177101.282 .7751682552025 3 1 1971 177145.721 .772756024 177221.073 .768682107 177296.426 .7646274102025 3 1 1972 177298.358 .764523926 177371.778 .762364885 177447.130 .7601663732025 3 1 1973 177495.432 .758768639 177547.600 .758499744 177673.186 .7578833292025 3 1 1974 177803.669 .757265693 177997.686 .758516188 178098.425 .7591280132025 3 1 1975 178213.917 .758569530 178334.230 .757902172 178368.367 .7569494922025 3 1 1976 178511.083 .752840989 178530.183 .751766092 178606.263 .7474248842025 3 1 1977 178692.242 .742468704 178693.213 .742412077 178786.772 .7339864092025 3 1 1978 178871.037 .726338971 178875.949 .725685526 178961.219 .7142861452025 3 1 1979 179113.196 .693840179 179173.015 .685735481 179259.743 .6699982082025 3 1 1980 179338.204 .655713482 179455.895 .634237008 179567.750 .6137808322025 3 1 1981 179595.064 .608350401 179944.850 .538723260 179956.377 .5364309272025 3 1 1982 180044.789 .520019893 180144.728 .501491150 180189.552 .4931912232025 3 1 1983 180219.682 .488339956 180294.635 .476288499 180419.559 .4562426252025 3 1 1984 180500.453 .443292514 180519.498 .440831409 180619.437 .4279503482025 3 1 1985 180719.375 .415102117 180769.345 .408689629 180811.354 .4033050472025 3 1 1986 180819.314 .402500939 180869.283 .397460332 180919.252 .3924265932025 3 1 1987 180969.222 .387399281 181019.191 .382378245 181069.160 .3773630262025 3 1 1988 181116.123 .372654488 181122.255 .372040521 181204.039 .3653332882025 3 1 1989 181291.955 .358137069 181355.431 .352950065 181379.871 .3512231402025 3 1 1990 181467.786 .345021455 181555.702 .338828510 181588.607 .3365134092025 3 1 1991 181643.617 .333126509 181687.575 .330422467 181753.512 .3263690272025 3 1 1992 181819.448 .322318434 181885.385 .318270218 181899.507 .3174036542025 3 1 1993 181951.322 .314695120 182017.259 .311250288 182149.132 .3043656802025 3 1 1994 182215.069 .300925632 182313.974 .295768331 182390.900 .2917594522025 3 1 1995 182456.837 .288325022 182520.749 .284997830 182522.773 .2849123932025 3 1 1996 182588.710 .282131100 182654.647 .279352178 182742.563 .2756513122025 3 1 1997 182830.479 .271956495 182918.394 .268269190 182962.352 .2664288492025 3 1 1998 183006.310 .264591054 183050.267 .262756117 183064.173 .2621766102025 3 1 1999 183094.225 .261247697 183138.183 .259892373 183215.109 .2575298542025 3 1 2000 183281.046 .255515526 183297.069 .255028791 183346.983 .2541779842025 3 1 2001 183412.919 .253066924 183478.856 .251970317 183544.792 .2508899132025 3 1 2002 183607.597 .249879483 183621.718 .249845805 183665.676 .2497531052025 3 1 2003 183704.637 .249679389 183709.634 .249719203 183753.591 .2500795322025 3 1 2004 183797.549 .250450535 183840.493 .250823948 183841.507 .2508513372025 3 1 2005 183925.483 .253152807 184015.683 .255676819 184069.803 .2572186862025 3 1 2006 184073.389 .257322275 184123.923 .259773530 184178.043 .2624208342025 3 1 2007 184189.837 .263002659 184232.162 .265684438 184306.285 .2704279972025 3 1 2008 184340.401 .273329850 184394.521 .277967529 184466.681 .2841860242025 3 1 2009 184538.840 .290442949 184539.180 .290472601 184611.000 .2986098862025 3 1 2010 184701.199 .308875520 184800.885 .320272765 184809.438 .3213804972025 3 1 2011 185200.037 .372160814 185258.869 .379760415 185384.091 .3931994832025 3 1 2012 185520.574 .407634944 185553.819 .410128806 185643.896 .4167442642025 3 1 2013 185645.675 .416872716 185727.020 .420667341 185765.023 .4223905642025 3 1 2014 185811.113 .423203059 185881.623 .424345920 185898.441 .4241471722025 3 1 2015 185989.004 .422929777 186000.000 .422481207 186085.267 .4188640902025 3 1 2016 186095.738 .418404984 186165.600 .412722198 186254.546 .4053620652025 3 1 2017 186291.741 .402215123 186408.341 .387409345 186480.364 .3781413942025 3 1 2018 186507.798 .373839414 186613.092 .357208578 186614.412 .3569781752025 3 1 2019 186745.819 .333875732 186834.449 .317244435 187152.072 .2574166352025 3 1 2020 187210.364 .246471920 187342.646 .223636683 187442.637 .2064722042025 3 1 2021 187492.498 .198730485 187542.182 .191053832 187560.907 .1883725622025 3 1 2022 187629.316 .178611826 187641.728 .176849538 187741.273 .1638859712025 3 1 2023 187743.330 .163642379 187834.541 .152913196 187840.819 .1521790282025 3 1 2024 187925.753 .143226425 187940.364 .141695958 188016.964 .1345152562025 3 1 2025 188039.909 .132375122 188062.570 .130494393 188108.176 .1267229972025 3 1 2026 188139.455 .124145346 188153.782 .123099627 188199.387 .1197834462025 3 1 2027 188239.001 .116913245 188244.993 .116529930 188290.599 .1136237592025 3 1 2028 188338.546 .110582305 188359.008 .109438198 188427.416 .1056351862025 3 1 2029 188438.091 .105044832 188495.825 .102383773 188564.233 .0992486162025 3 1 2030 188630.178 .096241738 188632.642 .096153805 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