20-Ca- 44 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20044.0000 43.5778800 2 0 0 12037 1451 1 0.0 0.0 0 0 0 62037 1451 2 1.00000000 200000000. 1 0 10 72037 1451 3 1200.00000 0.0 1 0 592 1512037 1451 4 20-Ca- 44 NRG EVAL-OCT04 A.J. Koning 2037 1451 5 DIST-DEC06 REV1-MAY05 20050504 2037 1451 6 ----ENDF/B-VII MATERIAL 2037 REVISION 1 2037 1451 7 -----INCIDENT NEUTRON DATA 2037 1451 8 ------ENDF-6 FORMAT 2037 1451 9 ***************************** ENDF/B-VII *************************2037 1451 10 ** **2037 1451 11 ** Original data taken from: JEFF-3.1 **2037 1451 12 ** **2037 1451 13 ******************************************************************2037 1451 14 ***************************** JEFF-3.1 *************************2037 1451 15 ** **2037 1451 16 ** Original data taken from: New evaluation **2037 1451 17 ** **2037 1451 18 ******************************************************************2037 1451 19 2037 1451 20 NRG-2004: n + Ca-44 2037 1451 21 2037 1451 22 Author: A.J. Koning, NRG Petten 2037 1451 23 2037 1451 24 ************** G E N E R A L I N F O R M A T I O N *************2037 1451 25 2037 1451 26 This evaluated data file is based primarily on a theoretical 2037 1451 27 analysis with the nuclear model code TALYS [kon04], version 0.56. 2037 1451 28 The nuclear model parameters of TALYS have been adjusted to 2037 1451 29 reproduce the existing experimental data. The resulting data file 2037 1451 30 provides a complete representation of nuclear data needed for 2037 1451 31 transport, damage, heating, radioactivity, and shielding 2037 1451 32 applications over the incident neutron energy range from 2037 1451 33 1.0E-11 to 200 MeV. 2037 1451 34 2037 1451 35 This file is part of a larger collection of isotopic evaluations, 2037 1451 36 all created by running TALYS with input parameters that do not or 2037 1451 37 slightly deviate from the default values. The mutual quality of 2037 1451 38 these isotopic evaluations is thus relatively consistent. 2037 1451 39 The same set of nuclear models is used and, equally important, 2037 1451 40 the same ENDF-6 formatting procedures for each isotope. We have 2037 1451 41 intended to make this evaluation complete in its description of 2037 1451 42 reaction channels, and use a compact method to store the data. 2037 1451 43 2037 1451 44 For certain reactions and energy ranges TALYS may not be used. 2037 1451 45 This is the case when TALYS is not appropriate, such as for the 2037 1451 46 description of resonances, or when the directly available 2037 1451 47 experimental data is of better quality, as for e.g. low-energy 2037 1451 48 total cross sections. In these cases, we have adopted the best 2037 1451 49 possible data from an existing library, or directly from unfiled 2037 1451 50 experimental data. All transport data for particles, photons and 2037 1451 51 residual nuclides are filed using a combination of MF1,2,3,4 and 2037 1451 52 MF6. This includes cross sections, angular distributions, 2037 1451 53 double-differential spectra, discrete and continuum photon 2037 1451 54 production cross sections, and residual production (activation) 2037 1451 55 cross sections. Moreover, isomeric production data are stored in 2037 1451 56 MF8 and MF10. This evaluation can thus be used as both transport 2037 1451 57 and activation library. The data file has been created 2037 1451 58 automatically using the ENDF-6 format generator TEFAL. 2037 1451 59 2037 1451 60 ##### ORIGIN 2037 1451 61 2037 1451 62 Data < 200 MeV : New evaluation NRG Petten 2037 1451 63 2037 1451 64 Resonance parameters (MF2/MT151): JENDL-3.3 for E < 500 keV 2037 1451 65 All other data : Produced with TALYS code 2037 1451 66 2037 1451 67 *************************** T H E O R Y **************************2037 1451 68 2037 1451 69 TALYS is a computer code system for the prediction and analysis 2037 1451 70 of nuclear reactions. TALYS simulates reactions that involve 2037 1451 71 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2037 1451 72 alpha-particles, in the 1 keV - 200 MeV energy range and for 2037 1451 73 target nuclides of mass 12 and heavier. This is achieved by 2037 1451 74 implementing a suite of nuclear reaction models into a single 2037 1451 75 code system. It enables to evaluate nuclear reactions from 2037 1451 76 the unresolved resonance region up to intermediate energies. This 2037 1451 77 evaluation is based on a theoretical analysis that utilizes the 2037 1451 78 optical model, compound nucleus statistical theory, direct 2037 1451 79 reactions and pre-equilibrium processes, in combination with 2037 1451 80 databases and models for nuclear structure. For Ca-44, the 2037 1451 81 following output of TALYS is stored in this data file: 2037 1451 82 2037 1451 83 - Total, elastic and non-elastic cross sections 2037 1451 84 - Elastic scattering angular distributions 2037 1451 85 - Inelastic cross sections to discrete states 2037 1451 86 - Inelastic scattering angular distributions to discrete states 2037 1451 87 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2037 1451 88 - Exclusive channel energy spectra 2037 1451 89 - Exclusive channel double-differential spectra 2037 1451 90 - Exclusive gamma production for discrete states and continuum 2037 1451 91 - Isomeric and ground state cross sections 2037 1451 92 - Residual production cross sections 2037 1451 93 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2037 1451 94 - Total particle energy spectra 2037 1451 95 - Total particle double-differential spectra 2037 1451 96 2037 1451 97 Here follows a short description of the used nuclear models: 2037 1451 98 2037 1451 99 ##### OPTICAL MODEL 2037 1451 100 2037 1451 101 All optical model calculations are performed by ECIS-97 [ray94], 2037 1451 102 in TALYS used as a subroutine. The default optical model 2037 1451 103 potentials (OMP) used are the local and global parameterizations 2037 1451 104 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2037 1451 105 for neutrons and protons which in principle are valid over the 2037 1451 106 1 keV - 200 MeV energy range, though the low energy boundary of 2037 1451 107 validity may differ from nucleus to nucleus (e.g. for the total 2037 1451 108 cross sections, experimental data are included directly in the 2037 1451 109 file for energies below that boundary). Solving the Schroedinger 2037 1451 110 equation with this OMP yields the total cross section, the 2037 1451 111 shape-elastic cross section, the shape-elastic angular 2037 1451 112 distribution, the wave functions for the direct reaction cross 2037 1451 113 sections (see below), the transmission coefficients for the 2037 1451 114 compound nucleus model (see below) and the reaction cross 2037 1451 115 sections for the pre-equilibrium model (see below). 2037 1451 116 For neutrons and protons, the used parameterization is given in 2037 1451 117 Eq. (7) of [kon03]. 2037 1451 118 To calculate the transmission coefficients and reaction cross 2037 1451 119 sections for deuterons, tritons, helions and alpha particles, we 2037 1451 120 use OMPs that are directly derived from our nucleon potentials 2037 1451 121 using Watanabe's folding approach [mad88]. 2037 1451 122 2037 1451 123 ##### DIRECT REACTIONS 2037 1451 124 2037 1451 125 The built-in ECIS-97 is used for coupled-channels or DWBA 2037 1451 126 calculations for rotational or vibrational (or a combination of 2037 1451 127 these) nuclides. For Ca-44, DWBA was used to compute the direct 2037 1451 128 cross sections to several low-lying discrete levels: 2037 1451 129 2037 1451 130 Level Energy Spin/Parity Deformation parameter beta_L 2037 1451 131 2037 1451 132 1 1.157050 2.0+ 0.253 2037 1451 133 8 3.307860 3.0- 0.240 2037 1451 134 + a few additional states with small deformation parameters. 2037 1451 135 2037 1451 136 In addition, a macroscopic, phenomenological model to describe 2037 1451 137 giant resonances in the inelastic channel is used. For each 2037 1451 138 multipolarity an energy weighted sum rule applies and a DWBA 2037 1451 139 calculation with ECIS-97 is performed for each giant resonance 2037 1451 140 state. The cross section is then spread over the continuum with a 2037 1451 141 Gaussian distribution. 2037 1451 142 2037 1451 143 ##### COMPOUND NUCLEUS 2037 1451 144 2037 1451 145 For binary compound nucleus reactions we use the model of 2037 1451 146 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2037 1451 147 corrected for width fluctuations. The transmission coefficients 2037 1451 148 have been generated with the aforementioned OMPs and the full 2037 1451 149 j,l-dependence of the transmission coefficients in the 2037 1451 150 Hauser-Feshbach model is used. For each nucleus that can be 2037 1451 151 reached through a binary reaction, several discrete levels and a 2037 1451 152 continuum described by level densities are included 2037 1451 153 simultaneously as competing channels. 2037 1451 154 2037 1451 155 The compound nucleus angular distributions are calculated with 2037 1451 156 the Blatt-Biedenharn formalism [bla52], leading to compound 2037 1451 157 nucleus Legendre coefficients that are added to their direct 2037 1451 158 counterparts. For multiple compound emission, i.e. emitted 2037 1451 159 particles after the binary emission, we use the Hauser-Feshbach 2037 1451 160 model. Again, for each residual nucleus several discrete states 2037 1451 161 are included as well as a continuum described by level densities. 2037 1451 162 Multiple compound emission is continued until all reaction 2037 1451 163 channels are closed and the population distribution of all 2037 1451 164 residual nuclides is depleted, through gamma decay, until they 2037 1451 165 end up in the ground state or in an isomer. 2037 1451 166 2037 1451 167 For the level density, we take the composite formula proposed by 2037 1451 168 Gilbert and Cameron [gil65], consisting of a constant temperature 2037 1451 169 law at low energies and a Fermi gas expression at high energies. 2037 1451 170 For the level density parameter a we use the energy dependent 2037 1451 171 expression proposed by Ignatyuk [ign75] to take into account the 2037 1451 172 damping of shell effects at high excitation energy. We have 2037 1451 173 obtained the parameters for the Ignatyuk formula from a 2037 1451 174 simultaneous fit to all experimental D_0 values as present in the 2037 1451 175 RIPL library. If necessary, we adjust individual parameters to 2037 1451 176 obtain a better fit to experiment. 2037 1451 177 2037 1451 178 Gamma-ray transmission coefficients are generated with the 2037 1451 179 Kopecky-Uhl generalized Lorentzian for strength 2037 1451 180 functions [kop90], with giant dipole resonance parameters taken 2037 1451 181 from the RIPL library [rip98], and normalized with experimental 2037 1451 182 radiative widths [gar84]. 2037 1451 183 2037 1451 184 ##### PRE-EQUILIBRIUM REACTIONS 2037 1451 185 2037 1451 186 For pre-equilibrium reactions, which become important for 2037 1451 187 incident energies above about 10 MeV, we use the two-component 2037 1451 188 exciton model [kon04b], in which the neutron or proton types of 2037 1451 189 particles and holes are followed throughout the reaction. For 2037 1451 190 energies above 20 MeV, multiple pre-equilibrium emission up to 2037 1451 191 any order of particle emission was included in the calculations. 2037 1451 192 A parameterization for the squared matrix element is used that is 2037 1451 193 valid for the whole energy range of this evaluation. 2037 1451 194 2037 1451 195 For deuterons, tritons, helions and alpha-particles, an extra 2037 1451 196 contribution was added from the pick/up and knock-out reaction 2037 1451 197 model by Kalbach [kal01]. 2037 1451 198 2037 1451 199 For photons, the model of Akkermans and Gruppelaar [akk85] was 2037 1451 200 applied, to simulate the direct and semi-direct capture 2037 1451 201 processes. 2037 1451 202 2037 1451 203 The angular distribution systematics by Kalbach [kal88] were used 2037 1451 204 to describe the angular distributions for all continuum 2037 1451 205 particles. An isotopic distribution for photons was adopted. 2037 1451 206 2037 1451 207 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****2037 1451 208 2037 1451 209 This evaluation was performed simultaneously with other adjacent 2037 1451 210 isotopes, both for incident neutrons and protons. This enables, 2037 1451 211 when compared with a single-isotope effort, to put stronger 2037 1451 212 constraints on the produced calculated data, i.e. a globally 2037 1451 213 good comparison between TALYS and experimental data is requested 2037 1451 214 for all isotopes at the same time, while nucleus-specific input 2037 1451 215 (default or adjusted) parameters are consistently used for all 2037 1451 216 isotopes. Also, experimental data that is not available for the 2037 1451 217 isotope under study may be present, and tested, for adjacent 2037 1451 218 nuclides or for other projectiles. If these can be successfully 2037 1451 219 described by the models, a similar performance can be expected 2037 1451 220 for the present data file. 2037 1451 221 A few level density parameters for residual nuclides have been 2037 1451 222 adjusted to enforce agreement with the experimental data. The 2037 1451 223 changes in the level density parameters, a, were all kept within 2037 1451 224 10% of their default values. 2037 1451 225 2037 1451 226 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2037 1451 227 2037 1451 228 The spherical OMP was tested against experimental data for total 2037 1451 229 cross sections and elastic scattering angular distributions. 2037 1451 230 Consult [kon03] for the complete experimental database and for a 2037 1451 231 comparison of calculations and measurements over the whole energy 2037 1451 232 range for natural Ca. 2037 1451 233 2037 1451 234 ##### OTHER PARTIAL CROSS SECTIONS 2037 1451 235 2037 1451 236 - (n,gamma): 2037 1451 237 2037 1451 238 The calculated capture cross section is renormalized, by 2037 1451 239 overruling the default renormalization to the s-wave strength 2037 1451 240 function, to the available experimental data, all taken from the 2037 1451 241 EXFOR database. A normalization factor of 0.80 was used. The 2037 1451 242 pre-equilibrium gamma cross section was adjusted to the data by 2037 1451 243 multiplying the calculated result by a factor of 3.0. 2037 1451 244 2037 1451 245 - (n,p): 2037 1451 246 2037 1451 247 Many experimental (n,p) cross sections are available from EXFOR. 2037 1451 248 These have been used as validation for our TALYS calculation. 2037 1451 249 2037 1451 250 - (n,a): 2037 1451 251 2037 1451 252 Many experimental (n,a) cross sections are available from EXFOR. 2037 1451 253 These have been used as validation for our TALYS calculation. 2037 1451 254 2037 1451 255 ##### PARTICLE SPECTRA 2037 1451 256 2037 1451 257 For Ca-44, an adjustment of the default matrix element 2037 1451 258 parameterization of [kon04b] for pre-equilibrium reactions of a 2037 1451 259 factor of 0.7 was needed, to describe the aforementioned cross 2037 1451 260 sections and emission spectra for nuclides in this mass range. 2037 1451 261 For high-energy neutron and charged particle spectra, the average 2037 1451 262 quality is also determined by the pre-equilibrium model and its 2037 1451 263 global parameterization. No high-energy experiments are 2037 1451 264 available, though neutron induced reaction spectra between 28 and 2037 1451 265 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2037 1451 266 to better constrain the results, through the aforementioned 2037 1451 267 matrix element, for particle yields and double-differential 2037 1451 268 spectra for all ejectiles up to alpha particles. 2037 1451 269 2037 1451 270 ***************** F I L E I N F O R M A T I O N ****************2037 1451 271 2037 1451 272 ##### MF1: GENERAL INFORMATION 2037 1451 273 2037 1451 274 - MT451 : Descriptive data and directory 2037 1451 275 2037 1451 276 This text and the full directory of used MF/MT sections. 2037 1451 277 2037 1451 278 ##### MF2: RESONANCE PARAMETERS 2037 1451 279 2037 1451 280 - MT151 : Resonance parameters 2037 1451 281 2037 1451 282 Resolved parameters for MLBW formula were adopted from JENDL-3.3. 2037 1451 283 They are given in the energy region from 1.0e-5 eV to 500 keV. 2037 1451 284 Parameters were taken from the recommended data of BNL [mug81] 2037 1451 285 and the data for a negative resonance were added so as to 2037 1451 286 reproduce the recommended thermal cross sections for capture and 2037 1451 287 scattering [mug81]. The scattering radius was assumed to be 2037 1451 288 3.6 fermi. Calculated 2200 m/sec cross sections and resonance 2037 1451 289 integrals are as follows: 2037 1451 290 2037 1451 291 2200 m/s cross section(b) res. integral(b) 2037 1451 292 elastic 3.320 2037 1451 293 capture 0.888 0.4254 2037 1451 294 total 4.208 2037 1451 295 2037 1451 296 2037 1451 297 ##### MF3: REACTION CROSS SECTIONS 2037 1451 298 2037 1451 299 Unless stated otherwise, all the data present in the following 2037 1451 300 MT-sections have been calculated with TALYS. If the maximal cross 2037 1451 301 section in an excitation function over the whole energy range 2037 1451 302 does not exceed 1.e-9 b, the MT-number is not included at all. 2037 1451 303 Cross sections lower than 1.e-20 b are assumed to have no 2037 1451 304 physical meaning and are set to zero. 2037 1451 305 2037 1451 306 - MT1 : Total cross section 2037 1451 307 2037 1451 308 Above 500 keV, calculations from the spherical OMP [kon03] were 2037 1451 309 used. 2037 1451 310 2037 1451 311 - MT2 : Elastic scattering cross section 2037 1451 312 2037 1451 313 Obtained by subtracting the non-elastic cross section from the 2037 1451 314 total cross section. Below 500 keV, resonance parameters are 2037 1451 315 used. 2037 1451 316 2037 1451 317 - MT3 : Non-elastic cross section 2037 1451 318 2037 1451 319 Calculated with the optical model over the whole energy range. 2037 1451 320 Below 500 keV, resonance parameters are used. 2037 1451 321 2037 1451 322 - MT4 : Total inelastic cross section 2037 1451 323 2037 1451 324 Sum of MT=51-91. 2037 1451 325 2037 1451 326 - MT5 : (n,anything) cross section 2037 1451 327 2037 1451 328 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2037 1451 329 cross section, where x may represent neutron, proton, deuteron, 2037 1451 330 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2037 1451 331 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2037 1451 332 recovered. These cross sections are relatively small. However, 2037 1451 333 addition of these cross sections, which can not be stored in any 2037 1451 334 other MT-number, ensures that the partial cross sections add up 2037 1451 335 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2037 1451 336 total non-elastic cross section, with which the information of 2037 1451 337 MF6/MT5 can be combined to obtain particle production cross 2037 1451 338 sections and (double-)differential cross sections. 2037 1451 339 2037 1451 340 - MT16 : (n,2n) cross section 2037 1451 341 - MT17 : (n,3n) cross section 2037 1451 342 - MT22 : (n,na) cross section 2037 1451 343 - MT28 : (n,np) cross section 2037 1451 344 - MT51-70 : (n,n') cross section for 1st-20th excited state 2037 1451 345 - MT91 : (n,n') continuum cross section 2037 1451 346 - MT102 : (n,gamma) cross section 2037 1451 347 2037 1451 348 Below 500 keV, resonance parameters are used. 2037 1451 349 2037 1451 350 - MT103 : (n,p) cross section 2037 1451 351 - MT104 : (n,d) cross section 2037 1451 352 - MT105 : (n,t) cross section 2037 1451 353 - MT106 : (n,h) cross section 2037 1451 354 - MT107 : (n,a) cross section 2037 1451 355 - MT108 : (n,2a) cross section 2037 1451 356 - MT111 : (n,2p) cross section 2037 1451 357 - MT600-610: (n,p) cross section for 0th-10th excited state 2037 1451 358 2037 1451 359 Obtained by mapping continuum (n,p) cross section from 2037 1451 360 pre-equilibrium and compound model on discrete states. 2037 1451 361 2037 1451 362 - MT649 : (n,p) continuum cross section 2037 1451 363 - MT650-655: (n,d) cross section for 0th-5th excited state 2037 1451 364 2037 1451 365 Obtained by mapping continuum (n,d) cross section from 2037 1451 366 pre-equilibrium and compound model on discrete states. 2037 1451 367 2037 1451 368 - MT699 : (n,d) continuum cross section 2037 1451 369 - MT700-705: (n,t) cross section for 0th-5th excited state 2037 1451 370 2037 1451 371 Obtained by mapping continuum (n,t) cross section from 2037 1451 372 pre-equilibrium and compound model on discrete states. 2037 1451 373 2037 1451 374 - MT749 : (n,t) continuum cross section 2037 1451 375 - MT750-752: (n,h) cross section for 0th-2nd excited state 2037 1451 376 2037 1451 377 Obtained by mapping continuum (n,h) cross section from 2037 1451 378 pre-equilibrium and compound model on discrete states. 2037 1451 379 2037 1451 380 - MT799 : (n,h) continuum cross section 2037 1451 381 - MT800-810: (n,a) cross section for 0th-10th excited state 2037 1451 382 2037 1451 383 Obtained by mapping continuum (n,a) cross section from 2037 1451 384 pre-equilibrium and compound model on discrete states. 2037 1451 385 2037 1451 386 - MT849 : (n,a) continuum cross section 2037 1451 387 2037 1451 388 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2037 1451 389 2037 1451 390 The versatility of MF6 for the storage of almost any secondary 2037 1451 391 distribution entails that we only use MF4 for the neutron elastic 2037 1451 392 scattering distribution. All data are generated with TALYS. 2037 1451 393 2037 1451 394 - MT2 : Elastic angular distribution 2037 1451 395 2037 1451 396 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2037 1451 397 Legendre representation to a tabulated representation. For 2037 1451 398 incident energies below 20 MeV, the Legendre coefficients are 2037 1451 399 given on a sufficiently precise energy grid. They are a sum of 2037 1451 400 calculated Legendre coefficients for compound nucleus and 2037 1451 401 shape-elastic scattering. For incident energies above 20 MeV, 2037 1451 402 relative angular distributions are tabulated on an angular grid. 2037 1451 403 2037 1451 404 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2037 1451 405 2037 1451 406 In MF6 we store all secondary energy, angle, and energy-angle 2037 1451 407 distributions, as well as all residual and discrete + continuum 2037 1451 408 photon production cross sections. We thus do not use MF12-15 for 2037 1451 409 the photon production that accompanies each reaction. All data 2037 1451 410 are generated with TALYS. 2037 1451 411 2037 1451 412 - MT5 : (n,anything) yields and energy-angle distributions 2037 1451 413 2037 1451 414 For energies below 20 MeV, MT5 contains the relative yields of 2037 1451 415 the (n,gamma x) reaction, where x may represent neutron, proton, 2037 1451 416 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2037 1451 417 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2037 1451 418 section can be recovered. For energies above 20 MeV, MT5 contains 2037 1451 419 the production yields of particles and residual products. It also 2037 1451 420 contains the secondary energy-angle distributions for all 2037 1451 421 particles and photons. First, the yields for neutrons are given 2037 1451 422 for the whole energy range. Next, on a secondary energy grid the 2037 1451 423 relative emission spectra are given together with the parameters 2037 1451 424 for the Kalbach systematics for angular distributions. Inelastic 2037 1451 425 scattering cross sections for discrete states have been broadened 2037 1451 426 and added to the continuum spectra. This procedure is repeated 2037 1451 427 for protons, deuterons, tritons, Helium-3, alpha particles and 2037 1451 428 photons. Finally, the residual production yields are given per 2037 1451 429 final product. All these yields and relative distributions can 2037 1451 430 be multiplied with the cross sections given in MF3/MT5 to get 2037 1451 431 the production cross sections and (double-)differential cross 2037 1451 432 sections. 2037 1451 433 2037 1451 434 - MT16 : (n,2n) energy-angle distr. and photon production 2037 1451 435 2037 1451 436 First, for each type of outgoing particle, the (trivial) integer 2037 1451 437 particle yields are given. Next, on a sufficiently dense incident 2037 1451 438 energy grid the secondary energy-angle distributions are 2037 1451 439 specified by means of the relative emission spectra and the 2037 1451 440 parameters for the Kalbach systematics for angular distributions. 2037 1451 441 Next, the photon yield is tabulated as a function of incident 2037 1451 442 energy. For each incident energy, the photon production is given 2037 1451 443 for all discrete gamma lines present in the final nucleus. A 2037 1451 444 continuum photon distribution is added to this. We assume 2037 1451 445 isotropy for all produced gamma rays. 2037 1451 446 2037 1451 447 For the following MT-numbers, the same procedure as for MT16 is 2037 1451 448 followed: 2037 1451 449 ----- 2037 1451 450 - MT17 : (n,3n) energy-angle distr. and photon production 2037 1451 451 - MT22 : (n,na) energy-angle distr. and photon production 2037 1451 452 - MT28 : (n,np) energy-angle distr. and photon production 2037 1451 453 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2037 1451 454 - MT102 : (n,gamma) photon production 2037 1451 455 - MT108 : (n,2a) energy-angle distr. and photon production 2037 1451 456 - MT111 : (n,2p) energy-angle distr. and photon production 2037 1451 457 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2037 1451 458 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2037 1451 459 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2037 1451 460 - MT799 : (n,h) continuum energy-angle distr. and photon prod. 2037 1451 461 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2037 1451 462 ----- 2037 1451 463 2037 1451 464 - MT51 : (n,n') angular distribution and photon production 2037 1451 465 for first excited state 2037 1451 466 2037 1451 467 The angular distribution for inelastic scattering to the first 2037 1451 468 inelastic state is given with Legendre coefficients up to 20 MeV. 2037 1451 469 Next, the exclusive yields for all the discrete gamma rays that 2037 1451 470 originate from this particular level are given. 2037 1451 471 2037 1451 472 For the following MT-numbers, the same procedure as for MT51 is 2037 1451 473 followed: 2037 1451 474 ----- 2037 1451 475 - MT52-70 : (n,n') angular distribution and photon production 2037 1451 476 for 2nd-20th excited state 2037 1451 477 - MT600-610: (n,p) angular distribution and photon production 2037 1451 478 for 0th-10th excited state 2037 1451 479 - MT650-655: (n,d) angular distribution and photon production 2037 1451 480 for 0th-5th excited state 2037 1451 481 - MT700-705: (n,t) angular distribution and photon production 2037 1451 482 for 0th-5th excited state 2037 1451 483 - MT750-752: (n,h) angular distribution and photon production 2037 1451 484 for 0th-2nd excited state 2037 1451 485 - MT800-810: (n,a) angular distribution and photon production 2037 1451 486 for 0th-10th excited state 2037 1451 487 ----- 2037 1451 488 2037 1451 489 ***** 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 ****2037 1451 490 2037 1451 491 This file has been checked successfully by the BNL checking 2037 1451 492 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2037 1451 493 been processed successfully into an MCNP library by the 2037 1451 494 processing code NJOY99.81 [mac00]. 2037 1451 495 2037 1451 496 *********************** R E F E R E N C E S **********************2037 1451 497 2037 1451 498 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2037 1451 499 (1985). 2037 1451 500 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2037 1451 501 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2037 1451 502 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2037 1451 503 Nucl. Sci. Eng. 141, 1 (2002). 2037 1451 504 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2037 1451 505 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2037 1451 506 (1952). 2037 1451 507 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2037 1451 508 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2037 1451 509 Series on Neutron Physics and Nuclear Data in Science and 2037 1451 510 Technology, eds. A. Michaudon et al., p. 62 (1984). 2037 1451 511 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2037 1451 512 (1965). 2037 1451 513 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2037 1451 514 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2037 1451 515 Nucl. Phys. 21, no. 3, 255 (1975). 2037 1451 516 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2037 1451 517 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2037 1451 518 code with direct reactions, Duke University 2001, 2037 1451 519 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2037 1451 520 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2037 1451 521 (2003). 2037 1451 522 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2037 1451 523 (2004). 2037 1451 524 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2037 1451 525 (2004). 2037 1451 526 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2037 1451 527 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2037 1451 528 pointwise and multigroup neutron and photon cross 2037 1451 529 sections from ENDF/B Data, RSIC PSR-480 (2000). 2037 1451 530 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2037 1451 531 Preequilibrium Reactions, Semmering, Austria, 2037 1451 532 February 10-12 1988, (OECD, Paris 1988), p. 103. 2037 1451 533 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2037 1451 534 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2037 1451 535 Neutron Cross Sections, Vol. I, Neutron Resonance 2037 1451 536 Parameters and Thermal Cross Sections (Academic Press, 2037 1451 537 1981). 2037 1451 538 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2037 1451 539 No. CEA-N-2772, 1994. 2037 1451 540 [rip98] Handbook for calculations of nuclear reaction data: 2037 1451 541 Reference Input Parameter Library, IAEA-TECDOC-1034 2037 1451 542 (1998). 2037 1451 543 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2037 1451 544 S. Benck, J.P. Meulders, and V. Corcalciuc, 2037 1451 545 Journ. Phys. G, November 2003 (2003). 2037 1451 546 2037 1451 547 ************************* C O N T E N T S ************************2037 1451 548 2037 1451 549 ***************** Program LINEAR (VERSION 2007-1) ***************2037 1451 550 For All Data Greater than 1.0000E-10 barns in Absolute Value 2037 1451 551 Data Linearized Using Energy Dependent Uncertainty 2037 1451 552 Energy Accuracy 2037 1451 553 (eV) (per-cent) 2037 1451 554 ----------- ----------- 2037 1451 555 0.0 .010000000 2037 1451 556 1.00000000 .010000000 2037 1451 557 10.0000000 .100000000 2037 1451 558 2.00000E+9 .100000000 2037 1451 559 ***************** Program RECENT (VERSION 2007-1) ***************2037 1451 560 for All Data Greater than 1.0000E-10 barns in Absolute Value 2037 1451 561 Data Linearized Using Energy Dependent Uncertainty 2037 1451 562 Energy Accuracy 2037 1451 563 (eV) (per-cent) 2037 1451 564 ----------- ----------- 2037 1451 565 0.0 .010000000 2037 1451 566 1.00000000 .010000000 2037 1451 567 10.0000000 .100000000 2037 1451 568 2.00000E+9 .100000000 2037 1451 569 ***************** Program SIGMA1 (VERSION 2007-1) ***************2037 1451 570 Data Doppler Broadened to 1200.00000 Kelvin 2037 1451 571 for All Data Greater than 1.0000E-10 barns in Absolute Value 2037 1451 572 Data Linearized Using Energy Dependent Uncertainty 2037 1451 573 Energy Accuracy 2037 1451 574 (eV) (per-cent) 2037 1451 575 ----------- ----------- 2037 1451 576 0.0 .010000000 2037 1451 577 1.00000000 .010000000 2037 1451 578 10.0000000 .100000000 2037 1451 579 2.00000E+9 .100000000 2037 1451 580 ***************** Program FIXUP (Version 2007-1) ****************2037 1451 581 Corrected ZA/AWR in All Sections-----------------------------Yes 2037 1451 582 Corrected Thresholds-----------------------------------------No 2037 1451 583 Extended Cross Sections to 20 MeV----------------------------No 2037 1451 584 Allow Cross Section Deletion---------------------------------Yes 2037 1451 585 Allow Cross Section Reconstruction---------------------------Yes 2037 1451 586 Make All Cross Sections Non-Negative-------------------------Yes 2037 1451 587 Delete Energies Not in Ascending Order-----------------------Yes 2037 1451 588 Deleted Duplicate Points-------------------------------------Yes 2037 1451 589 Check for Ascending MAT/MF/MT Order--------------------------Yes 2037 1451 590 Check for Legal MF/MT Numbers--------------------------------Yes 2037 1451 591 Allow Creation of Missing Sections---------------------------No 2037 1451 592 Allow Insertion of Energy Points-----------------------------No 2037 1451 593 Create Uniform Energy Grid-----------------------------------No 2037 1451 594 Delete Section if Cross Section =0 at All Energies-----------Yes 2037 1451 595 **************** Program DICTIN (VERSION 2007-1) ****************2037 1451 596 1 451 747 12037 1451 597 2 151 45 12037 1451 598 3 1 3279 12037 1451 599 3 2 1288 12037 1451 600 3 4 29 12037 1451 601 3 5 26 12037 1451 602 3 16 9 12037 1451 603 3 17 5 12037 1451 604 3 22 9 12037 1451 605 3 28 8 12037 1451 606 3 51 20 12037 1451 607 3 52 20 12037 1451 608 3 53 18 12037 1451 609 3 54 19 12037 1451 610 3 55 18 12037 1451 611 3 56 18 12037 1451 612 3 57 18 12037 1451 613 3 58 16 12037 1451 614 3 59 17 12037 1451 615 3 60 17 12037 1451 616 3 61 17 12037 1451 617 3 62 17 12037 1451 618 3 63 17 12037 1451 619 3 64 17 12037 1451 620 3 65 16 12037 1451 621 3 66 16 12037 1451 622 3 67 16 12037 1451 623 3 68 17 12037 1451 624 3 69 17 12037 1451 625 3 70 16 12037 1451 626 3 91 15 12037 1451 627 3 102 2130 12037 1451 628 3 103 16 12037 1451 629 3 104 10 12037 1451 630 3 105 7 12037 1451 631 3 106 6 12037 1451 632 3 107 18 12037 1451 633 3 108 6 12037 1451 634 3 111 5 12037 1451 635 3 600 15 12037 1451 636 3 601 14 12037 1451 637 3 602 15 12037 1451 638 3 603 14 12037 1451 639 3 604 14 12037 1451 640 3 605 14 12037 1451 641 3 606 13 12037 1451 642 3 607 13 12037 1451 643 3 608 14 12037 1451 644 3 609 13 12037 1451 645 3 610 13 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688 6 57 110 12037 1451 689 6 58 120 12037 1451 690 6 59 102 12037 1451 691 6 60 99 12037 1451 692 6 61 117 12037 1451 693 6 62 109 12037 1451 694 6 63 107 12037 1451 695 6 64 106 12037 1451 696 6 65 102 12037 1451 697 6 66 102 12037 1451 698 6 67 99 12037 1451 699 6 68 102 12037 1451 700 6 69 105 12037 1451 701 6 70 102 12037 1451 702 6 91 1133 12037 1451 703 6 102 1070 12037 1451 704 6 108 143 12037 1451 705 6 111 73 12037 1451 706 6 600 54 12037 1451 707 6 601 62 12037 1451 708 6 602 55 12037 1451 709 6 603 56 12037 1451 710 6 604 62 12037 1451 711 6 605 57 12037 1451 712 6 606 54 12037 1451 713 6 607 59 12037 1451 714 6 608 54 12037 1451 715 6 609 55 12037 1451 716 6 610 61 12037 1451 717 6 649 594 12037 1451 718 6 650 37 12037 1451 719 6 651 46 12037 1451 720 6 652 42 12037 1451 721 6 653 46 12037 1451 722 6 654 42 12037 1451 723 6 655 42 12037 1451 724 6 699 265 12037 1451 725 6 700 28 12037 1451 726 6 701 34 12037 1451 727 6 702 35 12037 1451 728 6 703 36 12037 1451 729 6 704 37 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4.61737750 57355.8600 4.30027720 57569.0400 4.118768572037 3 1 1827 57782.2200 3.93726952 57995.4000 3.77718711 58208.5800 3.632692392037 3 1 1828 58315.1700 3.56044827 58421.7600 3.49528382 58634.9400 3.364960642037 3 1 1829 58848.1200 3.24889021 58954.7100 3.19085726 59061.3000 3.137984172037 3 1 1830 59274.4800 3.03224204 59487.6600 2.93702214 59594.2500 2.889414562037 3 1 1831 59914.0200 2.76051152 60020.6100 2.71754652 60340.3800 2.602718232037 3 1 1832 60446.9700 2.56444414 60660.1500 2.49578348 60873.3300 2.427125442037 3 1 1833 60979.9200 2.39614000 61299.6900 2.30318771 61619.4600 2.219627012037 3 1 1834 61832.6400 2.16392196 61939.2300 2.13911804 62259.0000 2.064708592037 3 1 1835 62365.5900 2.03990626 62578.7700 1.99541452 62898.5400 1.928679402037 3 1 1836 63111.7200 1.88769732 63324.9000 1.84671695 63538.0800 1.809149982037 3 1 1837 63964.4400 1.73401864 64390.8000 1.66687715 64603.9800 1.633307402037 3 1 1838 64817.1600 1.60273571 65350.1100 1.52630892 66096.2400 1.429766642037 3 1 1839 66522.6000 1.37948421 66789.0750 1.34805847 67055.5500 1.318801612037 3 1 1840 67588.5000 1.26028945 68121.4500 1.20654091 68387.9250 1.179667282037 3 1 1841 68654.4000 1.15467788 69187.3500 1.10470029 69453.8250 1.079712102037 3 1 1842 69720.3000 1.05640333 70253.2500 1.00978702 70519.7250 .9864795102037 3 1 1843 70786.2000 .964184515 71185.9125 .930743051 71585.6250 .8973025302037 3 1 1844 72118.5750 .852717334 72385.0500 .830425972 72718.1438 .8025634282037 3 1 1845 72918.0000 .785847063 73117.8563 .767791073 73384.3313 .7437189782037 3 1 1846 73517.5688 .731684707 73584.1875 .724991253 73750.7344 .7082602082037 3 1 1847 73850.6625 .698223102 73917.2813 .691532677 73950.5907 .6877442302037 3 1 1848 74050.5188 .676380669 74117.1375 .668806205 74183.7563 .6612329142037 3 1 1849 74250.3750 .652632965 74316.9938 .644034678 74383.6125 .6354384192037 3 1 1850 74450.2313 .625464491 74500.1954 .617985950 74550.1594 .6105094692037 3 1 1851 74583.4688 .605526696 74600.1235 .602595193 74650.0875 .5938034832037 3 1 1852 74700.0516 .585015096 74716.7063 .582086732 74733.3610 .5786923922037 3 1 1853 74766.6704 .571905763 74804.1434 .564273649 74824.9618 .5600353372037 3 1 1854 74835.3710 .557599064 74866.5985 .550293055 74897.8261 .5429902462037 3 1 1855 74908.2352 .540557234 74929.0536 .534993470 74958.6457 .5270887602037 3 1 1856 74984.9669 .520061656 75011.2881 .511949316 75037.6093 .5038418182037 3 1 1857 75055.1568 .498440568 75063.9306 .495351288 75090.2517 .4860900942037 3 1 1858 75107.9494 .479867341 75125.6470 .472788446 75143.3446 .4657139612037 3 1 1859 75161.0422 .458644453 75178.7399 .450491546 75196.4375 .4423450122037 3 1 1860 75214.1351 .434205676 75231.8327 .424817382 75250.7945 .4147693982037 3 1 1861 75257.1150 .411423712 75263.4356 .407599856 75276.0768 .3999586402037 3 1 1862 75288.7179 .392324751 75295.0385 .388511857 75301.3591 .3842488892037 3 1 1863 75314.0002 .375732223 75320.3208 .371479065 75326.6414 .3668206742037 3 1 1864 75337.7268 .358660223 75343.4626 .354443953 75352.0215 .3475809342037 3 1 1865 75364.4640 .337621026 75366.3162 .336004272 75375.8459 .3276986292037 3 1 1866 75385.3757 .319404447 75385.4654 .319326500 75394.9054 .3103451312037 3 1 1867 75404.4352 .301292887 75406.4668 .299366420 75413.0838 .2924859522037 3 1 1868 75424.7350 .280395090 75426.6769 .278384298 75432.5025 .2717751022037 3 1 1869 75440.2700 .262978719 75446.0957 .256394692 75448.0375 .2540180842037 3 1 1870 75455.8050 .244531246 75460.6597 .238615992 75463.5725 .2348138802037 3 1 1871 75471.3400 .224700227 75475.2238 .219659283 75480.6610 .2121038672037 3 1 1872 75486.8750 .203495433 75489.7879 .199471333 75493.0890 .1945999432037 3 1 1873 75499.3030 .185456804 75504.3519 .178052388 75505.5170 .1762362132037 3 1 1874 75511.7310 .166583583 75517.9450 .156969179 75518.9160 .1554732572037 3 1 1875 75523.5765 .147914942 75528.6254 .139760562 75533.4800 .1319543822037 3 1 1876 75533.6743 .131632081 75538.7231 .123297206 75543.7720 .1150069932037 3 1 1877 75548.8209 .106767259 75553.8698 .098584598 75558.9186 .0904668942037 3 1 1878 75560.2779 .088299577 75563.1907 .083826392 75567.0745 .0779226232037 3 1 1879 75568.4338 .075953807 75571.9292 .070959965 75573.6769 .0685937062037 3 1 1880 75575.4245 .066267667 75578.5315 .062370431 75578.9199 .0619178002037 3 1 1881 75581.6385 .058809334 75582.4153 .057993356 75583.9688 .0563924802037 3 1 1882 75585.9107 .054572480 75586.2990 .054217218 75588.2409 .0526299282037 3 1 1883 75589.4060 .051794330 75590.1828 .051259338 75592.1247 .0501399742037 3 1 1884 75593.5811 .049459153 75593.7753 .049386889 75594.8433 .0490283952037 3 1 1885 75596.3968 .048673547 75597.9503 .048518718 75598.1445 .0485231142037 3 1 1886 75599.1154 .048578951 75600.2805 .048777554 75601.0573 .0490203052037 3 1 1887 75601.8340 .049290268 75602.9992 .049873670 75604.1643 .0506218472037 3 1 1888 75604.5527 .050930062 75605.3294 .051580190 75606.4945 .0527442492037 3 1 1889 75607.6597 .054110621 75608.0480 .054638138 75608.8248 .0557287822037 3 1 1890 75609.9899 .057596638 75610.9609 .059360584 75611.1550 .0597223252037 3 1 1891 75612.0653 .061603440 75612.9149 .063514040 75613.7645 .0655822982037 3 1 1892 75613.8737 .065869472 75614.6141 .067856075 75615.5243 .0704925412037 3 1 1893 75616.4953 .073539416 75616.7865 .074530091 75617.4662 .0768837732037 3 1 1894 75618.4371 .080518281 75619.4080 .084442339 75619.6993 .0857120482037 3 1 1895 75620.3790 .088716864 75621.3499 .093336491 75622.0296 .0968145322037 3 1 1896 75622.3209 .098323242 75623.2918 .103722784 75624.2628 .1095181352037 3 1 1897 75624.3598 .110139151 75625.2337 .115803395 75626.2046 .1225453962037 3 1 1898 75627.1755 .129766420 75627.2727 .130540527 75628.1465 .1375880922037 3 1 1899 75629.1174 .145964776 75630.0884 .154925679 75630.1855 .1558873912037 3 1 1900 75631.1564 .165618356 75632.3216 .178225393 75633.0983 .1873280822037 3 1 1901 75633.4867 .191924089 75634.6518 .206849039 75635.0402 .2122364932037 3 1 1902 75635.8169 .223090037 75636.9821 .240715779 75638.1472 .2599346022037 3 1 1903 75638.9239 .273805622 75639.3123 .280792102 75640.2347 .2986028892037 3 1 1904 75640.8658 .311625355 75641.2541 .319693897 75642.2736 .3424032522037 3 1 1905 75642.8077 .355161267 75643.2931 .366834787 75644.3126 .3931240772037 3 1 1906 75644.7496 .405210883 75645.3320 .421425483 75646.3516 .4518694782037 3 1 1907 75646.6914 .462754390 75647.3711 .484666780 75648.3906 .5199223182037 3 1 1908 75648.6333 .528927667 75649.4100 .557925986 75650.4295 .5987599552037 3 1 1909 75650.5752 .605043276 75651.5461 .647164645 75652.5171 .6927386422037 3 1 1910 75652.7112 .701905078 75653.8763 .761512619 75654.4589 .7938077252037 3 1 1911 75655.0415 .826292067 75656.2066 .896651781 75656.4008 .9093535442037 3 1 1912 75657.3717 .973207826 75658.3427 1.04233673 75658.5368 1.056233672037 3 1 1913 75659.7020 1.14648594 75660.2846 1.19529311 75660.8671 1.244317662037 3 1 1914 75661.7410 1.32381005 75662.0322 1.35040339 75663.1973 1.465316162037 3 1 1915 75664.3625 1.58981627 75664.6538 1.62338208 75665.5276 1.724429212037 3 1 1916 75666.1102 1.79701088 75666.6927 1.86983646 75667.5666 1.987410962037 3 1 1917 75667.8578 2.02672487 75669.0230 2.19580750 75670.1881 2.377909602037 3 1 1918 75670.4794 2.42672637 75671.3532 2.57361125 75671.9358 2.678460912037 3 1 1919 75672.5183 2.78366030 75673.6835 3.00859217 75673.8777 3.048604022037 3 1 1920 75674.8486 3.24937301 75675.8196 3.46328553 75676.0137 3.506196942037 3 1 1921 75677.1788 3.78008723 75677.7614 3.92545625 75678.3440 4.071286622037 3 1 1922 75679.7033 4.43509362 75679.8975 4.48722376 75681.4510 4.935759882037 3 1 1923 75681.6452 4.99608963 75683.1986 5.47987188 75683.5871 5.608926392037 3 1 1924 75684.5579 5.93213340 75685.5289 6.27292524 75685.9172 6.409533852037 3 1 1925 75687.9562 7.17185167 75688.4417 7.36562408 75689.9952 7.986954372037 3 1 1926 75691.3546 8.56214211 75692.0342 8.85012023 75694.7528 10.06507292037 3 1 1927 75700.3842 12.7325361 75703.8213 14.3574158 75704.8700 14.85180702037 3 1 1928 75706.3846 15.5335713 75707.4332 16.0042529 75708.0934 16.28104382037 3 1 1929 75709.8800 17.0273972 75710.5790 17.2927791 75712.2102 17.90917652037 3 1 1930 75712.4432 17.9875324 75714.1521 18.5590722 75714.6181 18.69249522037 3 1 1931 75716.4823 19.2221124 75716.9484 19.3272979 75718.8126 19.74289702037 3 1 1932 75719.8845 19.9141948 75721.1428 20.1120687 75721.7642 20.17154882037 3 1 1933 75723.1624 20.3022954 75724.0945 20.3270880 75725.8033 20.36851632037 3 1 1934 75726.4247 20.3405487 75728.0559 20.2635530 75728.7550 20.18933902037 3 1 1935 75730.1531 20.0381586 75731.0852 19.8878283 75732.2504 19.69784402037 3 1 1936 75733.5903 19.4089412 75734.7360 19.1602019 75736.0953 18.79551252037 3 1 1937 75737.4158 18.4395545 75739.5130 17.7840295 75740.0955 17.60144262037 3 1 1938 75743.0084 16.5917827 75748.6398 14.4833356 75751.5526 13.39472972037 3 1 1939 75753.6887 12.5981507 75754.2713 12.3913579 75756.6015 11.56631962037 3 1 1940 75757.1840 11.3606016 75758.9318 10.7828146 75760.0969 10.39861382037 3 1 1941 75760.6794 10.2206368 75762.5242 9.65833083 75763.0097 9.510730442037 3 1 1942 75764.5632 9.07873705 75765.9225 8.70184586 75766.6022 8.528310902037 3 1 1943 75767.8644 8.20703858 75768.6411 8.02279907 75769.8063 7.747399422037 3 1 1944 75771.3597 7.40639337 75771.7481 7.32139699 75772.7190 7.124604272037 3 1 1945 75773.6900 6.92826258 75774.4667 6.78310972 75775.6319 6.565947332037 3 1 1946 75776.2144 6.46577467 75777.5738 6.23264019 75777.9621 6.171262812037 3 1 1947 75779.5156 5.92638055 75779.7098 5.89818395 75781.4575 5.645124022037 3 1 1948 75783.2052 5.41736771 75784.3703 5.26591849 75784.9529 5.198956172037 3 1 1949 75786.7005 4.99861413 75787.2831 4.93197698 75788.3026 4.827066302037 3 1 1950 75789.4192 4.71241522 75789.9047 4.66692175 75791.7494 4.494501652037 3 1 1951 75792.0408 4.46969614 75794.0797 4.29662443 75794.1768 4.289262662037 3 1 1952 75796.3129 4.12776295 75797.5750 4.03257669 75798.4489 3.974772502037 3 1 1953 75800.5850 3.83382966 75801.0704 3.80187232 75802.7210 3.705998652037 3 1 1954 75804.5658 3.59916109 75806.5077 3.49742329 75806.8960 3.477141992037 3 1 1955 75809.2263 3.36714657 75810.7798 3.29399289 75811.9449 3.245381592037 3 1 1956 75814.6635 3.13221878 75817.3822 3.03151338 75818.5473 2.988442222037 3 1 1957 75820.1008 2.93692007 75822.4310 2.85978972 75822.8194 2.848191982037 3 1 1958 75825.5380 2.76716919 75826.3148 2.74406002 75828.6450 2.682654692037 3 1 1959 75831.7520 2.60093634 75832.1404 2.59073815 75834.8590 2.528526552037 3 1 1960 75837.9660 2.45754877 75841.0730 2.39524748 75843.7917 2.340816442037 3 1 1961 75844.1800 2.33418080 75847.2870 2.28117130 75850.3940 2.228238752037 3 1 1962 75853.5010 2.17538340 75854.2778 2.16420303 75858.1615 2.108400662037 3 1 1963 75861.2685 2.06382542 75862.0453 2.05411096 75865.9290 2.005616952037 3 1 1964 75869.0360 1.96687431 75869.8128 1.95838371 75873.6965 1.915993252037 3 1 1965 75877.1919 1.87789981 75879.5222 1.85552875 75883.9885 1.812721882037 3 1 1966 75885.3478 1.79971098 75889.0374 1.76894528 75894.0863 1.726904972037 3 1 1967 75896.2223 1.70914167 75899.1351 1.68824103 75904.1840 1.652059812037 3 1 1968 75907.0968 1.63121029 75909.2329 1.61776837 75914.2818 1.586034242037 3 1 1969 75916.5149 1.57201320 75919.3306 1.55643723 75925.2533 1.523711982037 3 1 1970 75928.4574 1.50602926 75932.0499 1.48867928 75938.8465 1.455897342037 3 1 1971 75940.4000 1.44841284 75945.6431 1.42612066 75952.3425 1.397668882037 3 1 1972 75952.4396 1.39730878 75959.2362 1.37213203 75966.0327 1.346981292037 3 1 1973 75968.2659 1.33872476 75972.8293 1.32423891 75980.1113 1.301145912037 3 1 1974 75985.9369 1.28268878 75987.8788 1.27742325 75995.6463 1.256382532037 3 1 1975 76003.4138 1.23536063 76005.3557 1.23010929 76011.1813 1.216562962037 3 1 1976 76018.9488 1.19851616 76024.7744 1.18499359 76030.6000 1.173235482037 3 1 1977 76038.3675 1.15757266 76044.1932 1.14583416 76048.0769 1.138984082037 3 1 1978 76057.7863 1.12187312 76064.5829 1.10990442 76067.4957 1.105536302037 3 1 1979 76077.2050 1.09098746 76086.9144 1.07644874 76096.6238 1.061921372037 3 1 1980 76101.4785 1.05586159 76116.0425 1.03770020 76128.6647 1.021972702037 3 1 1981 76141.2869 1.00850042 76153.9091 .995036953 76156.8219 .9919318232037 3 1 1982 76166.5313 .982990308 76179.1535 .971373375 76191.7757 .9597641782037 3 1 1983 76198.0868 .954767657 76217.0200 .939790240 76226.7294 .9321145692037 3 1 1984 76234.4969 .926925775 76251.9738 .915258623 76269.4507 .9035981572037 3 1 1985 76279.1600 .897123440 76286.9275 .892806631 76304.4044 .8830989712037 3 1 1986 76321.8813 .873395892 76331.5907 .868007546 76339.3582 .8643423522037 3 1 1987 76365.5735 .851979006 76384.0213 .843283744 76391.7888 .8401871482037 3 1 1988 76418.0041 .829742038 76444.2194 .819302015 76453.9288 .8154369852037 3 1 1989 76470.4348 .809893278 76496.6500 .801092355 76523.8363 .7919688872037 3 1 1990 76525.7782 .791428029 76554.9063 .783318757 76584.0344 .7752125312037 3 1 1991 76613.1625 .767108960 76636.4650 .760628236 76652.0000 .7570928682037 3 1 1992 76690.8375 .748257933 76729.6750 .739425958 76752.9775 .7341282902037 3 1 1993 76768.5125 .731145924 76807.3500 .723692184 76846.1875 .7162403222037 3 1 1994 76869.4900 .711770402 76904.4438 .706071882 76962.7000 .6965774452037 3 1 1995 77024.8400 .686452889 77032.6075 .685376588 77102.5150 .6756926832037 3 1 1996 77170.4807 .666280006 77211.2600 .660633479 77234.5625 .6578866452037 3 1 1997 77320.0050 .647816957 77459.8200 .631343471 77553.0300 .6219146622037 3 1 1998 77646.2400 .612487216 77770.5200 .599918973 77894.8000 .5889722622037 3 1 1999 78019.0800 .578026773 78143.3600 .567082278 78176.5578 .5641590332037 3 1 2000 78334.0356 .551750649 78524.7112 .536727854 78620.0490 .5292169952037 3 1 2001 78715.3868 .522340047 78906.0623 .508586997 79192.0757 .4879586562037 3 1 2002 79668.7645 .456046843 79859.4401 .443282858 80050.1157 .4311972182037 3 1 2003 80431.4668 .407026905 80622.1424 .394942124 80812.8179 .3834134052037 3 1 2004 81384.8446 .348828461 81575.5202 .337300509 81956.8713 .3151903782037 3 1 2005 82528.8980 .282026409 83100.9246 .249977805 83482.2757 .2286131342037 3 1 2006 83863.6268 .207976467 84375.8181 .180261235 84768.3385 .1597240462037 3 1 2007 85030.0188 .146033667 85357.1191 .128922570 85553.3793 .1186574442037 3 1 2008 85684.2194 .111815075 85815.0595 .104973886 85913.1897 .0998443122037 3 1 2009 85962.2548 .097199739 86060.3849 .091912366 86133.9824 .0879481482037 3 1 2010 86158.5149 .086627245 86207.5799 .083838330 86272.6350 .0801421832037 3 1 2011 86337.6900 .076448064 86381.0600 .073809067 86421.0350 .0713780492037 3 1 2012 86461.0100 .068948641 86500.9850 .066341697 86540.9600 .0637372392037 3 1 2013 86570.9413 .061651292 86600.9225 .059567496 86630.9038 .0573296422037 3 1 2014 86660.8850 .055095258 86680.8725 .053472658 86700.8600 .0518522652037 3 1 2015 86716.8500 .050558260 86724.8450 .049847791 86740.8350 .0484293312037 3 1 2016 86756.8250 .047013255 86764.8200 .046306629 86772.8150 .0455366562037 3 1 2017 86788.8050 .044000023 86796.8000 .043233652 86804.7950 .0424051822037 3 1 2018 86820.7850 .040752866 86828.7800 .039929253 86834.4432 .0393006822037 3 1 2019 86845.7694 .038047136 86852.7650 .037275208 86857.0957 .0367632322037 3 1 2020 86868.4219 .035428595 86876.7500 .034450951 86879.7482 .0340725762037 3 1 2021 86891.0744 .032649087 86900.7350 .031440838 86902.4007 .0312185982037 3 1 2022 86910.8954 .030090535 86918.7238 .029055828 86919.3900 .0289626472037 3 1 2023 86929.3838 .027572691 86936.0463 .026651504 86938.0450 .0263766502037 3 1 2024 86942.7088 .025699653 86949.3713 .024738149 86956.0338 .0237830122037 3 1 2025 86958.0325 .023498650 86962.6963 .022809062 86969.3588 .0218322132037 3 1 2026 86975.3550 .020961129 86980.6850 .020194121 86986.0150 .0194348762037 3 1 2027 86991.3450 .018684397 86996.6750 .017943861 87002.0050 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