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 3 600.000000 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 600.000000 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 3369 12037 1451 599 3 2 1349 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 2198 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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51.01369992037 3 1 1839 51789.1973 50.9558346 51855.8160 50.3753970 51877.1340 50.08881442037 3 1 1840 51919.7700 49.5154444 51962.4060 48.7731804 51983.7240 48.40198562037 3 1 1841 52047.6780 47.0530688 52068.9960 46.6033859 52154.2680 44.54623282037 3 1 1842 52367.4480 38.9152511 52452.7200 36.6629806 52495.3560 35.53690682037 3 1 1843 52537.9920 34.4762499 52623.2640 32.3550737 52692.5475 30.75302162037 3 1 1844 52719.1950 30.1368848 52772.4900 28.9967629 52825.7850 27.85672562037 3 1 1845 52852.4325 27.3360119 52932.3750 25.7739827 53012.3175 24.35514002037 3 1 1846 53038.9650 23.8822251 53092.2600 23.0259319 53145.5550 22.16970352037 3 1 1847 53172.2025 21.7827959 53252.1450 20.6221556 53332.0875 19.57390242037 3 1 1848 53358.7350 19.2245075 53412.0300 18.5931495 53465.3250 17.96183622037 3 1 1849 53491.9725 17.6763760 53571.9150 16.8200517 53651.8575 16.04463802037 3 1 1850 53678.5050 15.7861822 53731.8000 15.3172925 53785.0950 14.84843302037 3 1 1851 53811.7425 14.6353786 53891.6850 13.9962661 53944.9800 13.61734292037 3 1 1852 54051.5700 12.8595651 54158.1600 12.1824409 54264.7500 11.56254212037 3 1 1853 54371.3400 10.9938015 54477.9300 10.4914134 54584.5200 9.989057402037 3 1 1854 54691.1100 9.56082976 54797.7000 9.13262762 54904.2900 8.759430632037 3 1 1855 54957.5850 8.57284234 55010.8800 8.40425421 55117.4700 8.067096292037 3 1 1856 55224.0600 7.76601711 55277.3550 7.61548496 55330.6500 7.478478362037 3 1 1857 55437.2400 7.20448472 55543.8300 6.95782064 55597.1250 6.834499702037 3 1 1858 55757.0100 6.49555885 55916.8950 6.19173781 55970.1900 6.090469692037 3 1 1859 56076.7800 5.91014169 56183.3700 5.72982497 56236.6650 5.649142192037 3 1 1860 56396.5500 5.40710671 56556.4350 5.18948987 56609.7300 5.116954272037 3 1 1861 56716.3200 4.98593184 56822.9100 4.85491630 56876.2050 4.796277132037 3 1 1862 57089.3850 4.56173472 57142.6800 4.50940916 57355.8600 4.300121662037 3 1 1863 57569.0400 4.11862985 57782.2200 3.93714762 57995.4000 3.777078552037 3 1 1864 58208.5800 3.63265744 58315.1700 3.56045013 58421.7600 3.495258972037 3 1 1865 58634.9400 3.36488238 58848.1200 3.24886512 58954.7100 3.190858762037 3 1 1866 59061.3000 3.13796583 59274.4800 3.03218403 59487.6600 2.937003632037 3 1 1867 59594.2500 2.88941580 59914.0200 2.76051266 60020.6100 2.717547612037 3 1 1868 60340.3800 2.60271924 60446.9700 2.56444513 60660.1500 2.495784442037 3 1 1869 60873.3300 2.42712634 60979.9200 2.39614087 61299.6900 2.303188532037 3 1 1870 61619.4600 2.21961447 61832.6400 2.16390053 61939.2300 2.139101022037 3 1 1871 62259.0000 2.06470482 62365.5900 2.03990691 62578.7700 1.995415142037 3 1 1872 62898.5400 1.92867999 63111.7200 1.88769787 63324.9000 1.846717482037 3 1 1873 63538.0800 1.80914280 63964.4400 1.73399601 64390.8000 1.666869912037 3 1 1874 64603.9800 1.63330784 64817.1600 1.60273613 65350.1100 1.526309322037 3 1 1875 66096.2400 1.42975562 66522.6000 1.37948017 66789.0750 1.348058802037 3 1 1876 67055.5500 1.31879817 67588.5000 1.26027846 68121.4500 1.206537432037 3 1 1877 68387.9250 1.17966757 68654.4000 1.15467816 69187.3500 1.104700562037 3 1 1878 69453.8250 1.07971235 69720.3000 1.05640359 70253.2500 1.009787272037 3 1 1879 70519.7250 .986479758 70786.2000 .964185046 71185.9125 .9307440102037 3 1 1880 71585.6250 .897303909 72118.5750 .852719277 72385.0500 .8304281962037 3 1 1881 72718.1438 .802566015 72918.0000 .785849853 73117.8563 .7677930352037 3 1 1882 73384.3313 .743719824 73517.5688 .731684978 73584.1875 .7249925272037 3 1 1883 73750.7344 .708264034 73850.6625 .698228430 73917.2813 .6915390272037 3 1 1884 73950.5907 .687751070 74050.5188 .676388937 74117.1375 .6688154372037 3 1 1885 74183.7563 .661243108 74250.3750 .652644865 74316.9938 .6440482832037 3 1 1886 74383.6125 .635453725 74458.5587 .624486651 74508.5228 .6171774052037 3 1 1887 74533.5048 .613523814 74558.4868 .609317849 74608.4509 .6009083032037 3 1 1888 74658.4149 .592501637 74683.3969 .588299786 74695.8880 .5858768422037 3 1 1889 74733.3610 .578610301 74770.8340 .571346349 74783.3250 .5689260392037 3 1 1890 74808.3071 .563368709 74845.7802 .555036279 74883.2532 .5467080822037 3 1 1891 74920.7263 .537144253 74945.7083 .530771531 74958.1993 .5275866362037 3 1 1892 74970.6903 .523909582 74996.5651 .516296486 75023.3327 .5084252152037 3 1 1893 75036.7165 .504492261 75050.1003 .499971579 75076.8679 .4909364412037 3 1 1894 75090.2517 .486421983 75096.5723 .484012465 75115.5341 .4767881452037 3 1 1895 75134.4959 .469568532 75140.8164 .467163816 75153.4576 .4616773492037 3 1 1896 75172.4193 .453453796 75191.3810 .445237204 75210.3428 .4359424302037 3 1 1897 75229.3045 .426656956 75248.2662 .416205971 75260.9074 .4092455732037 3 1 1898 75267.2279 .405768574 75273.5485 .401824471 75286.1897 .3939433022037 3 1 1899 75297.8615 .386673495 75304.1837 .382740599 75313.9152 .3759948592037 3 1 1900 75327.5305 .366571019 75329.9689 .364726024 75340.6714 .3566387122037 3 1 1901 75350.8773 .348935882 75351.3739 .348524450 75362.0764 .3396682642037 3 1 1902 75372.7788 .330824341 75374.2241 .329631795 75382.4993 .3221304042037 3 1 1903 75395.6069 .310269104 75404.3454 .301637271 75413.0838 .2930190642037 3 1 1904 75415.0257 .291107239 75421.8223 .283799857 75430.5607 .2744217522037 3 1 1905 75434.4444 .270262264 75439.2991 .264635751 75448.0375 .2545297952037 3 1 1906 75449.0085 .253409823 75458.2324 .242010935 75463.5725 .2354284322037 3 1 1907 75465.0290 .233493137 75471.8256 .224481615 75478.6221 .2154917482037 3 1 1908 75480.5640 .212930026 75485.4187 .206048397 75492.2152 .1964411602037 3 1 1909 75494.1571 .193704838 75499.0118 .186427839 75505.1287 .1772881072037 3 1 1910 75507.7502 .173386979 75513.2845 .164682598 75518.7218 .1561663892037 3 1 1911 75520.0811 .154045439 75524.1590 .147376801 75529.5963 .1385210592037 3 1 1912 75532.8975 .133168772 75535.0335 .129558261 75540.4708 .1204125972037 3 1 1913 75545.9080 .111317972 75552.3163 .100673726 75556.5884 .0936288442037 3 1 1914 75560.8605 .086630222 75563.7733 .081893592 75565.1326 .0797475722037 3 1 1915 75569.4048 .073060399 75570.7640 .070953428 75573.6769 .0666327282037 3 1 1916 75575.4245 .064070233 75577.9490 .060551368 75579.3083 .0586830742037 3 1 1917 75582.3182 .054778502 75582.4153 .054654734 75585.5223 .0509591992037 3 1 1918 75586.7846 .049570024 75587.8525 .048422709 75590.1828 .0461265532037 3 1 1919 75591.2509 .045168438 75591.9305 .044579278 75593.2898 .0435024592037 3 1 1920 75594.8433 .042390811 75595.7172 .041843222 75596.3968 .0414402152037 3 1 1921 75597.9503 .040669929 75599.1154 .040199552 75599.8922 .0399518932037 3 1 1922 75600.2805 .039842109 75601.4457 .039618274 75602.6108 .0395071552037 3 1 1923 75603.7759 .039516297 75603.7760 .039516309 75604.9410 .0396959382037 3 1 1924 75605.9606 .039965190 75606.8102 .040274049 75606.9801 .0403519692037 3 1 1925 75607.6597 .040691321 75608.6792 .041312561 75609.6987 .0420629222037 3 1 1926 75610.6939 .042927178 75610.7667 .043000217 75611.6405 .0439191652037 3 1 1927 75612.4901 .044924323 75613.3397 .046040476 75614.1893 .0472730592037 3 1 1928 75614.2620 .047388982 75615.0388 .048665341 75616.0098 .0504180852037 3 1 1929 75616.9807 .052347514 75617.1749 .052770825 75617.9516 .0545026832037 3 1 1930 75618.9225 .056865132 75619.8935 .059436747 75620.0877 .0599952582037 3 1 1931 75620.8644 .062272044 75621.8354 .065352109 75622.8063 .0686791262037 3 1 1932 75622.9034 .069038036 75623.7773 .072319975 75624.7482 .0762432802037 3 1 1933 75625.5249 .079616582 75625.7191 .080472500 75626.6900 .0850625152037 3 1 1934 75627.6610 .089982508 75628.1465 .092617175 75628.6319 .0952878692037 3 1 1935 75629.6029 .101000869 75630.5738 .107106363 75630.9622 .1097070612037 3 1 1936 75631.4477 .113001871 75632.3216 .119289311 75633.1954 .1259527092037 3 1 1937 75633.8751 .131445444 75634.0692 .133034546 75634.9431 .1406097282037 3 1 1938 75635.8169 .148628587 75636.7878 .158151918 75636.9821 .1600816042037 3 1 1939 75638.1472 .172554351 75639.3123 .186000035 75639.7007 .1907944282037 3 1 1940 75640.2347 .197448599 75641.2541 .210967849 75641.6426 .2164693652037 3 1 1941 75642.2736 .225471644 75643.2931 .240998957 75643.5844 .2457366592037 3 1 1942 75644.3126 .257665910 75645.3320 .275496631 75645.5263 .2791268162037 3 1 1943 75646.3516 .294654895 75647.3711 .315143442 75647.4682 .3172287112037 3 1 1944 75648.3906 .337173794 75649.4100 .360729700 75649.4101 .3607321702037 3 1 1945 75650.4295 .386087952 75651.3519 .410702437 75651.5461 .4159210142037 3 1 1946 75652.7112 .449678845 75653.2938 .467923628 75653.8763 .4862883662037 3 1 1947 75655.0415 .526007798 75655.2357 .533171904 75656.2066 .5692213012037 3 1 1948 75657.1776 .608254736 75657.3717 .616110234 75658.5368 .6671837892037 3 1 1949 75659.1194 .694873528 75659.7020 .722743855 75660.8671 .7832016672037 3 1 1950 75661.0613 .794143326 75662.0322 .849189308 75663.0032 .9089908912037 3 1 1951 75663.1973 .921012851 75664.3625 .999447391 75664.4596 1.006557592037 3 1 1952 75665.5276 1.08511969 75665.9160 1.11621409 75666.6927 1.178681872037 3 1 1953 75667.3724 1.23820153 75667.8578 1.28090487 75668.8288 1.373944752037 3 1 1954 75669.0230 1.39264012 75670.1881 1.51483202 75670.2852 1.525931972037 3 1 1955 75671.3532 1.64854930 75671.7416 1.69715564 75672.5183 1.794778792037 3 1 1956 75673.1981 1.88790420 75673.6835 1.95468852 75674.6544 2.100243242037 3 1 1957 75674.8486 2.12948371 75676.0137 2.32055477 75676.1108 2.337894722037 3 1 1958 75677.1788 2.52937299 75677.5672 2.60514232 75678.3440 2.757276382037 3 1 1959 75679.0237 2.90198201 75679.5091 3.00572202 75680.4801 3.231049642037 3 1 1960 75680.6742 3.27626285 75681.8393 3.57054406 75681.9365 3.596998832037 3 1 1961 75682.8588 3.84888009 75683.3928 4.00502967 75683.8783 4.147472682037 3 1 1962 75684.8493 4.45203773 75684.8978 4.46729965 75685.9172 4.809665162037 3 1 1963 75686.3057 4.94869379 75686.9367 5.17516249 75687.7621 5.490190862037 3 1 1964 75687.9562 5.56447762 75689.2185 6.08214854 75689.3156 6.122088162037 3 1 1965 75690.6749 6.72477703 75691.1603 6.95578236 75692.0342 7.372853232037 3 1 1966 75693.1022 7.91729679 75693.3935 8.06615404 75694.7528 8.804243552037 3 1 1967 75695.0441 8.97139569 75696.1121 9.58557741 75697.9569 10.71236322037 3 1 1968 75698.1510 10.8310993 75700.1901 12.1542314 75704.7728 15.31198042037 3 1 1969 75707.1613 16.9547760 75708.0740 17.5807935 75709.4916 18.51661352037 3 1 1970 75709.8800 18.7721818 75711.0451 19.4873469 75712.2102 20.20007332037 3 1 1971 75712.5986 20.4130933 75714.1521 21.2614099 75715.7056 22.00517502037 3 1 1972 75717.2591 22.6416602 75718.8126 23.1585233 75719.9000 23.42652362037 3 1 1973 75720.6768 23.6147677 75721.4225 23.7313498 75722.0749 23.83154992037 3 1 1974 75722.6963 23.8686447 75724.1722 23.9527606 75724.2498 23.94979952037 3 1 1975 75725.6480 23.8924975 75725.8033 23.8740293 75727.2015 23.70414252037 3 1 1976 75727.3180 23.6811698 75728.7550 23.3944937 75728.8327 23.37355812037 3 1 1977 75730.3085 22.9726762 75730.6386 22.8622107 75731.8620 22.45008132037 3 1 1978 75733.0271 21.9793180 75734.1922 21.5064697 75735.4157 20.92634162037 3 1 1979 75736.9885 20.1789884 75742.3287 17.3192513 75745.1444 15.81462132037 3 1 1980 75746.5038 15.0899601 75747.0863 14.7946685 75749.0282 13.81269162037 3 1 1981 75749.4165 13.6168650 75750.9700 12.8827715 75751.4556 12.65395292037 3 1 1982 75752.7178 12.0972719 75753.4945 11.7556964 75754.4654 11.35966202037 3 1 1983 75755.5335 10.9252955 75756.2131 10.6708484 75757.5724 10.16352232037 3 1 1984 75757.9608 10.0308475 75759.6114 9.46885365 75759.7085 9.438460962037 3 1 1985 75760.9707 9.04452368 75761.2620 8.95382149 75762.3301 8.648224362037 3 1 1986 75763.2039 8.39884039 75763.6894 8.27263958 75765.0487 7.920201382037 3 1 1987 75765.1458 7.89508471 75766.4080 7.59811337 75767.0876 7.438599302037 3 1 1988 75767.7673 7.29352693 75769.0295 7.02478114 75769.1266 7.005973532037 3 1 1989 75770.4859 6.74333077 75770.9714 6.64974742 75772.0394 6.462330212037 3 1 1990 75772.9133 6.30938734 75773.7871 6.16996818 75774.8551 6.000040022037 3 1 1991 75775.5348 5.90127188 75776.7970 5.71835963 75777.2825 5.653974532037 3 1 1992 75778.7389 5.46134409 75779.0302 5.42673252 75780.7779 5.219619892037 3 1 1993 75781.6517 5.11631155 75782.5256 5.02510370 75784.2732 4.843139542037 3 1 1994 75784.5645 4.81287433 75786.1180 4.66965035 75787.4773 4.544617002037 3 1 1995 75788.0599 4.49680842 75790.0018 4.33782663 75790.3901 4.306102772037 3 1 1996 75791.9436 4.19650120 75793.8855 4.05979074 75795.4390 3.950633022037 3 1 1997 75795.8274 3.92737199 75797.7693 3.81130681 75799.5169 3.707043572037 3 1 1998 75799.7111 3.69690397 75802.0414 3.57548152 75803.5949 3.494707382037 3 1 1999 75804.7600 3.44129817 75807.4786 3.31695977 75807.6728 3.308095572037 3 1 2000 75810.1972 3.20583229 75811.7507 3.14302487 75812.9159 3.102604462037 3 1 2001 75815.6345 3.00848961 75818.3531 2.91454517 75818.9357 2.894445182037 3 1 2002 75821.0717 2.83209753 75823.9845 2.74722536 75824.7613 2.724629082037 3 1 2003 75827.0915 2.66564274 75830.1985 2.58713118 75830.5869 2.577331982037 3 1 2004 75833.3055 2.51714886 75836.4125 2.44847713 75839.5195 2.387862632037 3 1 2005 75842.2382 2.33490035 75842.6265 2.32816844 75847.2870 2.247515592037 3 1 2006 75848.0638 2.23409608 75851.1708 2.18687299 75855.0545 2.127938432037 3 1 2007 75855.8313 2.11616721 75858.9383 2.07516378 75862.8220 2.023984032037 3 1 2008 75863.5988 2.01376048 75866.7058 1.97784983 75870.5895 1.933021242037 3 1 2009 75871.3663 1.92406789 75876.4152 1.87331745 75880.8815 1.828493422037 3 1 2010 75881.0757 1.82654689 75885.9304 1.78408000 75889.8141 1.750153462037 3 1 2011 75890.9793 1.74113111 75896.0281 1.70209067 75898.5525 1.682594092037 3 1 2012 75901.0770 1.66549796 75906.1259 1.63134852 75910.2038 1.603797122037 3 1 2013 75911.1748 1.59810236 75916.2236 1.56852589 75921.8550 1.535572442037 3 1 2014 75928.0690 1.50402399 75934.2830 1.47251224 75934.9627 1.469068972037 3 1 2015 75940.4970 1.44468125 75946.7110 1.41732719 75948.0704 1.411348722037 3 1 2016 75952.9250 1.39296801 75959.1390 1.36946332 75965.5473 1.345250002037 3 1 2017 75968.4600 1.33586613 75976.2275 1.31087245 75983.0241 1.289024432037 3 1 2018 75983.9950 1.28634216 75991.7625 1.26490501 75999.5300 1.243487302037 3 1 2019 76001.4719 1.23813715 76007.2975 1.22429452 76015.0650 1.205853152037 3 1 2020 76020.8907 1.19203481 76026.7163 1.18003226 76035.4547 1.162046312037 3 1 2021 76040.3094 1.15206194 76045.1641 1.14356382 76054.8735 1.126582352037 3 1 2022 76064.5829 1.10961399 76069.4375 1.10113583 76074.2922 1.093962982037 3 1 2023 76084.0016 1.07962773 76094.6819 1.06387171 76098.5657 1.058905572037 3 1 2024 76108.2750 1.04650075 76119.9263 1.03162522 76121.8682 1.029515882037 3 1 2025 76135.4613 1.01476312 76149.0544 1.00002095 76157.7929 .9905497882037 3 1 2026 76162.6475 .986155669 76176.2407 .973860220 76189.8338 .9615723002037 3 1 2027 76197.6013 .954554396 76203.4269 .949994068 76217.0200 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