20-Ca- 42 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20042.0000 41.5981800 2 0 0 12031 1451 1 0.0 0.0 0 0 0 62031 1451 2 1.00000000 200000000. 1 0 10 72031 1451 3 1800.00000 0.0 1 0 595 1672031 1451 4 20-Ca- 42 NRG EVAL-OCT04 A.J. Koning 2031 1451 5 DIST-DEC06 REV1-MAY05 20050504 2031 1451 6 ----ENDF/B-VII MATERIAL 2031 REVISION 1 2031 1451 7 -----INCIDENT NEUTRON DATA 2031 1451 8 ------ENDF-6 FORMAT 2031 1451 9 ***************************** ENDF/B-VII *************************2031 1451 10 ** **2031 1451 11 ** Original data taken from: JEFF-3.1 **2031 1451 12 ** **2031 1451 13 ******************************************************************2031 1451 14 ***************************** JEFF-3.1 *************************2031 1451 15 ** **2031 1451 16 ** Original data taken from: New evaluation **2031 1451 17 ** **2031 1451 18 ******************************************************************2031 1451 19 2031 1451 20 NRG-2004: n + Ca-42 2031 1451 21 2031 1451 22 Author: A.J. Koning, NRG Petten 2031 1451 23 2031 1451 24 ************** G E N E R A L I N F O R M A T I O N *************2031 1451 25 2031 1451 26 This evaluated data file is based primarily on a theoretical 2031 1451 27 analysis with the nuclear model code TALYS [kon04], version 0.56. 2031 1451 28 The nuclear model parameters of TALYS have been adjusted to 2031 1451 29 reproduce the existing experimental data. The resulting data file 2031 1451 30 provides a complete representation of nuclear data needed for 2031 1451 31 transport, damage, heating, radioactivity, and shielding 2031 1451 32 applications over the incident neutron energy range from 2031 1451 33 1.0E-11 to 200 MeV. 2031 1451 34 2031 1451 35 This file is part of a larger collection of isotopic evaluations, 2031 1451 36 all created by running TALYS with input parameters that do not or 2031 1451 37 slightly deviate from the default values. The mutual quality of 2031 1451 38 these isotopic evaluations is thus relatively consistent. 2031 1451 39 The same set of nuclear models is used and, equally important, 2031 1451 40 the same ENDF-6 formatting procedures for each isotope. We have 2031 1451 41 intended to make this evaluation complete in its description of 2031 1451 42 reaction channels, and use a compact method to store the data. 2031 1451 43 2031 1451 44 For certain reactions and energy ranges TALYS may not be used. 2031 1451 45 This is the case when TALYS is not appropriate, such as for the 2031 1451 46 description of resonances, or when the directly available 2031 1451 47 experimental data is of better quality, as for e.g. low-energy 2031 1451 48 total cross sections. In these cases, we have adopted the best 2031 1451 49 possible data from an existing library, or directly from unfiled 2031 1451 50 experimental data. All transport data for particles, photons and 2031 1451 51 residual nuclides are filed using a combination of MF1,2,3,4 and 2031 1451 52 MF6. This includes cross sections, angular distributions, 2031 1451 53 double-differential spectra, discrete and continuum photon 2031 1451 54 production cross sections, and residual production (activation) 2031 1451 55 cross sections. Moreover, isomeric production data are stored in 2031 1451 56 MF8 and MF10. This evaluation can thus be used as both transport 2031 1451 57 and activation library. The data file has been created 2031 1451 58 automatically using the ENDF-6 format generator TEFAL. 2031 1451 59 2031 1451 60 ##### ORIGIN 2031 1451 61 2031 1451 62 Data < 200 MeV : New evaluation NRG Petten 2031 1451 63 2031 1451 64 Resonance parameters (MF2/MT151): JENDL-3.3 for E < 300 keV 2031 1451 65 All other data : Produced with TALYS code 2031 1451 66 2031 1451 67 *************************** T H E O R Y **************************2031 1451 68 2031 1451 69 TALYS is a computer code system for the prediction and analysis 2031 1451 70 of nuclear reactions. TALYS simulates reactions that involve 2031 1451 71 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2031 1451 72 alpha-particles, in the 1 keV - 200 MeV energy range and for 2031 1451 73 target nuclides of mass 12 and heavier. This is achieved by 2031 1451 74 implementing a suite of nuclear reaction models into a single 2031 1451 75 code system. It enables to evaluate nuclear reactions from 2031 1451 76 the unresolved resonance region up to intermediate energies. This 2031 1451 77 evaluation is based on a theoretical analysis that utilizes the 2031 1451 78 optical model, compound nucleus statistical theory, direct 2031 1451 79 reactions and pre-equilibrium processes, in combination with 2031 1451 80 databases and models for nuclear structure. For Ca-42, the 2031 1451 81 following output of TALYS is stored in this data file: 2031 1451 82 2031 1451 83 - Total, elastic and non-elastic cross sections 2031 1451 84 - Elastic scattering angular distributions 2031 1451 85 - Inelastic cross sections to discrete states 2031 1451 86 - Inelastic scattering angular distributions to discrete states 2031 1451 87 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2031 1451 88 - Exclusive channel energy spectra 2031 1451 89 - Exclusive channel double-differential spectra 2031 1451 90 - Exclusive gamma production for discrete states and continuum 2031 1451 91 - Isomeric and ground state cross sections 2031 1451 92 - Residual production cross sections 2031 1451 93 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2031 1451 94 - Total particle energy spectra 2031 1451 95 - Total particle double-differential spectra 2031 1451 96 2031 1451 97 Here follows a short description of the used nuclear models: 2031 1451 98 2031 1451 99 ##### OPTICAL MODEL 2031 1451 100 2031 1451 101 All optical model calculations are performed by ECIS-97 [ray94], 2031 1451 102 in TALYS used as a subroutine. The default optical model 2031 1451 103 potentials (OMP) used are the local and global parameterizations 2031 1451 104 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2031 1451 105 for neutrons and protons which in principle are valid over the 2031 1451 106 1 keV - 200 MeV energy range, though the low energy boundary of 2031 1451 107 validity may differ from nucleus to nucleus (e.g. for the total 2031 1451 108 cross sections, experimental data are included directly in the 2031 1451 109 file for energies below that boundary). Solving the Schroedinger 2031 1451 110 equation with this OMP yields the total cross section, the 2031 1451 111 shape-elastic cross section, the shape-elastic angular 2031 1451 112 distribution, the wave functions for the direct reaction cross 2031 1451 113 sections (see below), the transmission coefficients for the 2031 1451 114 compound nucleus model (see below) and the reaction cross 2031 1451 115 sections for the pre-equilibrium model (see below). 2031 1451 116 For neutrons and protons, the used parameterization is given in 2031 1451 117 Eq. (7) of [kon03]. 2031 1451 118 To calculate the transmission coefficients and reaction cross 2031 1451 119 sections for deuterons, tritons, helions and alpha particles, we 2031 1451 120 use OMPs that are directly derived from our nucleon potentials 2031 1451 121 using Watanabe's folding approach [mad88]. 2031 1451 122 2031 1451 123 ##### DIRECT REACTIONS 2031 1451 124 2031 1451 125 The built-in ECIS-97 is used for coupled-channels or DWBA 2031 1451 126 calculations for rotational or vibrational (or a combination of 2031 1451 127 these) nuclides. For Ca-42, DWBA was used to compute the direct 2031 1451 128 cross sections to several low-lying discrete levels: 2031 1451 129 2031 1451 130 Level Energy Spin/Parity Deformation parameter beta_l 2031 1451 131 2031 1451 132 1 1.524730 2.0+ 0.247 2031 1451 133 9 3.446960 3.0- 0.303 2031 1451 134 + a few additional states with small deformation parameters. 2031 1451 135 2031 1451 136 In addition, a macroscopic, phenomenological model to describe 2031 1451 137 giant resonances in the inelastic channel is used. For each 2031 1451 138 multipolarity an energy weighted sum rule applies and a DWBA 2031 1451 139 calculation with ECIS-97 is performed for each giant resonance 2031 1451 140 state. The cross section is then spread over the continuum with a 2031 1451 141 Gaussian distribution. 2031 1451 142 2031 1451 143 ##### COMPOUND NUCLEUS 2031 1451 144 2031 1451 145 For binary compound nucleus reactions we use the model of 2031 1451 146 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2031 1451 147 corrected for width fluctuations. The transmission coefficients 2031 1451 148 have been generated with the aforementioned OMPs and the full 2031 1451 149 j,l-dependence of the transmission coefficients in the 2031 1451 150 Hauser-Feshbach model is used. For each nucleus that can be 2031 1451 151 reached through a binary reaction, several discrete levels and a 2031 1451 152 continuum described by level densities are included 2031 1451 153 simultaneously as competing channels. 2031 1451 154 2031 1451 155 The compound nucleus angular distributions are calculated with 2031 1451 156 the Blatt-Biedenharn formalism [bla52], leading to compound 2031 1451 157 nucleus Legendre coefficients that are added to their direct 2031 1451 158 counterparts. For multiple compound emission, i.e. emitted 2031 1451 159 particles after the binary emission, we use the Hauser-Feshbach 2031 1451 160 model. Again, for each residual nucleus several discrete states 2031 1451 161 are included as well as a continuum described by level densities. 2031 1451 162 Multiple compound emission is continued until all reaction 2031 1451 163 channels are closed and the population distribution of all 2031 1451 164 residual nuclides is depleted, through gamma decay, until they 2031 1451 165 end up in the ground state or in an isomer. 2031 1451 166 2031 1451 167 For the level density, we take the composite formula proposed by 2031 1451 168 Gilbert and Cameron [gil65], consisting of a constant temperature 2031 1451 169 law at low energies and a Fermi gas expression at high energies. 2031 1451 170 For the level density parameter a we use the energy dependent 2031 1451 171 expression proposed by Ignatyuk [ign75] to take into account the 2031 1451 172 damping of shell effects at high excitation energy. We have 2031 1451 173 obtained the parameters for the Ignatyuk formula from a 2031 1451 174 simultaneous fit to all experimental D_0 values as present in the 2031 1451 175 RIPL library. If necessary, we adjust individual parameters to 2031 1451 176 obtain a better fit to experiment. 2031 1451 177 2031 1451 178 Gamma-ray transmission coefficients are generated with the 2031 1451 179 Kopecky-Uhl generalized Lorentzian for strength 2031 1451 180 functions [kop90], with giant dipole resonance parameters taken 2031 1451 181 from the RIPL library [rip98], and normalized with experimental 2031 1451 182 radiative widths [gar84]. 2031 1451 183 2031 1451 184 ##### PRE-EQUILIBRIUM REACTIONS 2031 1451 185 2031 1451 186 For pre-equilibrium reactions, which become important for 2031 1451 187 incident energies above about 10 MeV, we use the two-component 2031 1451 188 exciton model [kon04b], in which the neutron or proton types of 2031 1451 189 particles and holes are followed throughout the reaction. For 2031 1451 190 energies above 20 MeV, multiple pre-equilibrium emission up to 2031 1451 191 any order of particle emission was included in the calculations. 2031 1451 192 A parameterization for the squared matrix element is used that is 2031 1451 193 valid for the whole energy range of this evaluation. 2031 1451 194 2031 1451 195 For deuterons, tritons, helions and alpha-particles, an extra 2031 1451 196 contribution was added from the pick/up and knock-out reaction 2031 1451 197 model by Kalbach [kal01]. 2031 1451 198 2031 1451 199 For photons, the model of Akkermans and Gruppelaar [akk85] was 2031 1451 200 applied, to simulate the direct and semi-direct capture 2031 1451 201 processes. 2031 1451 202 2031 1451 203 The angular distribution systematics by Kalbach [kal88] were used 2031 1451 204 to describe the angular distributions for all continuum 2031 1451 205 particles. An isotopic distribution for photons was adopted. 2031 1451 206 2031 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 *****2031 1451 208 2031 1451 209 This evaluation was performed simultaneously with other adjacent 2031 1451 210 isotopes, both for incident neutrons and protons. This enables, 2031 1451 211 when compared with a single-isotope effort, to put stronger 2031 1451 212 constraints on the produced calculated data, i.e. a globally 2031 1451 213 good comparison between TALYS and experimental data is requested 2031 1451 214 for all isotopes at the same time, while nucleus-specific input 2031 1451 215 (default or adjusted) parameters are consistently used for all 2031 1451 216 isotopes. Also, experimental data that is not available for the 2031 1451 217 isotope under study may be present, and tested, for adjacent 2031 1451 218 nuclides or for other projectiles. If these can be successfully 2031 1451 219 described by the models, a similar performance can be expected 2031 1451 220 for the present data file. 2031 1451 221 A few level density parameters for residual nuclides have been 2031 1451 222 adjusted to enforce agreement with the experimental data. The 2031 1451 223 changes in the level density parameters, a, were all kept within 2031 1451 224 10% of their default values. 2031 1451 225 2031 1451 226 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2031 1451 227 2031 1451 228 The spherical OMP was tested against experimental data for total 2031 1451 229 cross sections and elastic scattering angular distributions. 2031 1451 230 Consult [kon03] for the complete experimental database and for a 2031 1451 231 comparison of calculations and measurements over the whole energy 2031 1451 232 range for natural Ca. 2031 1451 233 2031 1451 234 ##### OTHER PARTIAL CROSS SECTIONS 2031 1451 235 2031 1451 236 - (n,gamma): 2031 1451 237 2031 1451 238 The calculated capture cross section is renormalized, by 2031 1451 239 overruling the default renormalization to the s-wave strength 2031 1451 240 function, to the available experimental data, all taken from the 2031 1451 241 EXFOR database. A normalization factor of 0.80 was used. The 2031 1451 242 pre-equilibrium gamma cross section was adjusted to the data by 2031 1451 243 multiplying the calculated result by a factor of 3.0. 2031 1451 244 2031 1451 245 - (n,p): 2031 1451 246 2031 1451 247 Many experimental (n,p) cross sections are available from EXFOR. 2031 1451 248 These have been used as validation for our TALYS calculation. 2031 1451 249 2031 1451 250 ##### PARTICLE SPECTRA 2031 1451 251 2031 1451 252 For Ca-42, an adjustment of the default matrix element 2031 1451 253 parameterization of [kon04b] for pre-equilibrium reactions of a 2031 1451 254 factor of 0.7 was needed, to describe the aforementioned cross 2031 1451 255 sections and emission spectra for nuclides in this mass range. 2031 1451 256 For high-energy neutron and charged particle spectra, the average 2031 1451 257 quality is also determined by the pre-equilibrium model and its 2031 1451 258 global parameterization. No high-energy experiments are 2031 1451 259 available, though neutron induced reaction spectra between 28 and 2031 1451 260 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2031 1451 261 to better constrain the results, through the aforementioned 2031 1451 262 matrix element, for particle yields and double-differential 2031 1451 263 spectra for all ejectiles up to alpha particles. 2031 1451 264 2031 1451 265 ***************** F I L E I N F O R M A T I O N ****************2031 1451 266 2031 1451 267 ##### MF1: GENERAL INFORMATION 2031 1451 268 2031 1451 269 - MT451 : Descriptive data and directory 2031 1451 270 2031 1451 271 This text and the full directory of used MF/MT sections. 2031 1451 272 2031 1451 273 ##### MF2: RESONANCE PARAMETERS 2031 1451 274 2031 1451 275 - MT151 : Resonance parameters 2031 1451 276 2031 1451 277 Resolved parameters for MLBW formula were adopted from JENDL-3.3. 2031 1451 278 They are given in the energy region from 1.0e-5 eV to 300 keV. 2031 1451 279 Parameters were taken from the recommended data of BNL [mug81] 2031 1451 280 and the data for a negative resonance were added so as to 2031 1451 281 reproduce the recommended thermal cross sections for capture and 2031 1451 282 scattering [mug81]. The scattering radius was assumed to be 2031 1451 283 3.6 fermi. Calculated 2200 m/sec cross sections and resonance 2031 1451 284 integrals are as follows: 2031 1451 285 2031 1451 286 2200 m/s cross section(b) res. integral(b) 2031 1451 287 elastic 1.222 2031 1451 288 capture 0.683 0.3762 2031 1451 289 total 1.905 2031 1451 290 2031 1451 291 2031 1451 292 ##### MF3: REACTION CROSS SECTIONS 2031 1451 293 2031 1451 294 Unless stated otherwise, all the data present in the following 2031 1451 295 MT-sections have been calculated with TALYS. If the maximal cross 2031 1451 296 section in an excitation function over the whole energy range 2031 1451 297 does not exceed 1.e-9 b, the MT-number is not included at all. 2031 1451 298 Cross sections lower than 1.e-20 b are assumed to have no 2031 1451 299 physical meaning and are set to zero. 2031 1451 300 2031 1451 301 - MT1 : Total cross section 2031 1451 302 2031 1451 303 Above 300 keV, calculations from the spherical OMP [kon03] were 2031 1451 304 used. 2031 1451 305 2031 1451 306 - MT2 : Elastic scattering cross section 2031 1451 307 2031 1451 308 Obtained by subtracting the non-elastic cross section from the 2031 1451 309 total cross section. Below 300 keV, resonance parameters are 2031 1451 310 used. 2031 1451 311 2031 1451 312 - MT3 : Non-elastic cross section 2031 1451 313 2031 1451 314 Calculated with the optical model over the whole energy range. 2031 1451 315 Below 300 keV, resonance parameters are used. 2031 1451 316 2031 1451 317 - MT4 : Total inelastic cross section 2031 1451 318 2031 1451 319 Sum of MT=51-91. 2031 1451 320 2031 1451 321 - MT5 : (n,anything) cross section 2031 1451 322 2031 1451 323 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2031 1451 324 cross section, where x may represent neutron, proton, deuteron, 2031 1451 325 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2031 1451 326 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2031 1451 327 recovered. These cross sections are relatively small. However, 2031 1451 328 addition of these cross sections, which can not be stored in any 2031 1451 329 other MT-number, ensures that the partial cross sections add up 2031 1451 330 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2031 1451 331 total non-elastic cross section, with which the information of 2031 1451 332 MF6/MT5 can be combined to obtain particle production cross 2031 1451 333 sections and (double-)differential cross sections. 2031 1451 334 2031 1451 335 - MT16 : (n,2n) cross section 2031 1451 336 - MT22 : (n,na) cross section 2031 1451 337 - MT28 : (n,np) cross section 2031 1451 338 - MT29 : (n,n2a) cross section 2031 1451 339 - MT32 : (n,nd) cross section 2031 1451 340 - MT51-70 : (n,n') cross section for 1st-20th excited state 2031 1451 341 - MT91 : (n,n') continuum cross section 2031 1451 342 - MT102 : (n,gamma) cross section 2031 1451 343 2031 1451 344 Below 300 keV, resonance parameters are used. 2031 1451 345 2031 1451 346 - MT103 : (n,p) cross section 2031 1451 347 - MT104 : (n,d) cross section 2031 1451 348 - MT105 : (n,t) cross section 2031 1451 349 - MT106 : (n,h) cross section 2031 1451 350 - MT107 : (n,a) cross section 2031 1451 351 - MT108 : (n,2a) cross section 2031 1451 352 - MT111 : (n,2p) cross section 2031 1451 353 - MT112 : (n,pa) cross section 2031 1451 354 - MT115 : (n,pd) cross section 2031 1451 355 - MT117 : (n,da) cross section 2031 1451 356 - MT600-610: (n,p) cross section for 0th-10th excited state 2031 1451 357 2031 1451 358 Obtained by mapping continuum (n,p) cross section from 2031 1451 359 pre-equilibrium and compound model on discrete states. 2031 1451 360 2031 1451 361 - MT649 : (n,p) continuum cross section 2031 1451 362 - MT650-655: (n,d) cross section for 0th-5th excited state 2031 1451 363 2031 1451 364 Obtained by mapping continuum (n,d) cross section from 2031 1451 365 pre-equilibrium and compound model on discrete states. 2031 1451 366 2031 1451 367 - MT699 : (n,d) continuum cross section 2031 1451 368 - MT700-705: (n,t) cross section for 0th-5th excited state 2031 1451 369 2031 1451 370 Obtained by mapping continuum (n,t) cross section from 2031 1451 371 pre-equilibrium and compound model on discrete states. 2031 1451 372 2031 1451 373 - MT749 : (n,t) continuum cross section 2031 1451 374 - MT750-755: (n,h) cross section for 0th-5th excited state 2031 1451 375 2031 1451 376 Obtained by mapping continuum (n,h) cross section from 2031 1451 377 pre-equilibrium and compound model on discrete states. 2031 1451 378 2031 1451 379 - MT799 : (n,h) continuum cross section 2031 1451 380 - MT800-810: (n,a) cross section for 0th-10th excited state 2031 1451 381 2031 1451 382 Obtained by mapping continuum (n,a) cross section from 2031 1451 383 pre-equilibrium and compound model on discrete states. 2031 1451 384 2031 1451 385 - MT849 : (n,a) continuum cross section 2031 1451 386 2031 1451 387 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2031 1451 388 2031 1451 389 The versatility of MF6 for the storage of almost any secondary 2031 1451 390 distribution entails that we only use MF4 for the neutron elastic 2031 1451 391 scattering distribution. All data are generated with TALYS. 2031 1451 392 2031 1451 393 - MT2 : Elastic angular distribution 2031 1451 394 2031 1451 395 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2031 1451 396 Legendre representation to a tabulated representation. For 2031 1451 397 incident energies below 20 MeV, the Legendre coefficients are 2031 1451 398 given on a sufficiently precise energy grid. They are a sum of 2031 1451 399 calculated Legendre coefficients for compound nucleus and 2031 1451 400 shape-elastic scattering. For incident energies above 20 MeV, 2031 1451 401 relative angular distributions are tabulated on an angular grid. 2031 1451 402 2031 1451 403 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2031 1451 404 2031 1451 405 In MF6 we store all secondary energy, angle, and energy-angle 2031 1451 406 distributions, as well as all residual and discrete + continuum 2031 1451 407 photon production cross sections. We thus do not use MF12-15 for 2031 1451 408 the photon production that accompanies each reaction. All data 2031 1451 409 are generated with TALYS. 2031 1451 410 2031 1451 411 - MT5 : (n,anything) yields and energy-angle distributions 2031 1451 412 2031 1451 413 For energies below 20 MeV, MT5 contains the relative yields of 2031 1451 414 the (n,gamma x) reaction, where x may represent neutron, proton, 2031 1451 415 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2031 1451 416 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2031 1451 417 section can be recovered. For energies above 20 MeV, MT5 contains 2031 1451 418 the production yields of particles and residual products. It also 2031 1451 419 contains the secondary energy-angle distributions for all 2031 1451 420 particles and photons. First, the yields for neutrons are given 2031 1451 421 for the whole energy range. Next, on a secondary energy grid the 2031 1451 422 relative emission spectra are given together with the parameters 2031 1451 423 for the Kalbach systematics for angular distributions. Inelastic 2031 1451 424 scattering cross sections for discrete states have been broadened 2031 1451 425 and added to the continuum spectra. This procedure is repeated 2031 1451 426 for protons, deuterons, tritons, Helium-3, alpha particles and 2031 1451 427 photons. Finally, the residual production yields are given per 2031 1451 428 final product. All these yields and relative distributions can 2031 1451 429 be multiplied with the cross sections given in MF3/MT5 to get 2031 1451 430 the production cross sections and (double-)differential cross 2031 1451 431 sections. 2031 1451 432 2031 1451 433 - MT16 : (n,2n) energy-angle distr. and photon production 2031 1451 434 2031 1451 435 First, for each type of outgoing particle, the (trivial) integer 2031 1451 436 particle yields are given. Next, on a sufficiently dense incident 2031 1451 437 energy grid the secondary energy-angle distributions are 2031 1451 438 specified by means of the relative emission spectra and the 2031 1451 439 parameters for the Kalbach systematics for angular distributions. 2031 1451 440 Next, the photon yield is tabulated as a function of incident 2031 1451 441 energy. For each incident energy, the photon production is given 2031 1451 442 for all discrete gamma lines present in the final nucleus. A 2031 1451 443 continuum photon distribution is added to this. We assume 2031 1451 444 isotropy for all produced gamma rays. 2031 1451 445 2031 1451 446 For the following MT-numbers, the same procedure as for MT16 is 2031 1451 447 followed: 2031 1451 448 ----- 2031 1451 449 - MT22 : (n,na) energy-angle distr. and photon production 2031 1451 450 - MT28 : (n,np) energy-angle distr. and photon production 2031 1451 451 - MT29 : (n,n2a) energy-angle distr. and photon production 2031 1451 452 - MT32 : (n,nd) energy-angle distr. and photon production 2031 1451 453 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2031 1451 454 - MT102 : (n,gamma) photon production 2031 1451 455 - MT108 : (n,2a) energy-angle distr. and photon production 2031 1451 456 - MT111 : (n,2p) energy-angle distr. and photon production 2031 1451 457 - MT112 : (n,pa) energy-angle distr. and photon production 2031 1451 458 - MT115 : (n,pd) energy-angle distr. and photon production 2031 1451 459 - MT117 : (n,da) energy-angle distr. and photon production 2031 1451 460 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2031 1451 461 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2031 1451 462 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2031 1451 463 - MT799 : (n,h) continuum energy-angle distr. and photon prod. 2031 1451 464 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2031 1451 465 ----- 2031 1451 466 2031 1451 467 - MT51 : (n,n') angular distribution and photon production 2031 1451 468 for first excited state 2031 1451 469 2031 1451 470 The angular distribution for inelastic scattering to the first 2031 1451 471 inelastic state is given with Legendre coefficients up to 20 MeV. 2031 1451 472 Next, the exclusive yields for all the discrete gamma rays that 2031 1451 473 originate from this particular level are given. 2031 1451 474 2031 1451 475 For the following MT-numbers, the same procedure as for MT51 is 2031 1451 476 followed: 2031 1451 477 ----- 2031 1451 478 - MT52-70 : (n,n') angular distribution and photon production 2031 1451 479 for 2nd-20th excited state 2031 1451 480 - MT600-610: (n,p) angular distribution and photon production 2031 1451 481 for 0th-10th excited state 2031 1451 482 - MT650-655: (n,d) angular distribution and photon production 2031 1451 483 for 0th-5th excited state 2031 1451 484 - MT700-705: (n,t) angular distribution and photon production 2031 1451 485 for 0th-5th excited state 2031 1451 486 - MT750-755: (n,h) angular distribution and photon production 2031 1451 487 for 0th-5th excited state 2031 1451 488 - MT800-810: (n,a) angular distribution and photon production 2031 1451 489 for 0th-10th excited state 2031 1451 490 ----- 2031 1451 491 2031 1451 492 ***** 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 ****2031 1451 493 2031 1451 494 This file has been checked successfully by the BNL checking 2031 1451 495 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2031 1451 496 been processed successfully into an MCNP library by the 2031 1451 497 processing code NJOY99.81 [mac00]. 2031 1451 498 2031 1451 499 *********************** R E F E R E N C E S **********************2031 1451 500 2031 1451 501 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2031 1451 502 (1985). 2031 1451 503 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2031 1451 504 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2031 1451 505 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2031 1451 506 Nucl. Sci. Eng. 141, 1 (2002). 2031 1451 507 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2031 1451 508 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2031 1451 509 (1952). 2031 1451 510 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2031 1451 511 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2031 1451 512 Series on Neutron Physics and Nuclear Data in Science and 2031 1451 513 Technology, eds. A. Michaudon et al., p. 62 (1984). 2031 1451 514 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2031 1451 515 (1965). 2031 1451 516 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2031 1451 517 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2031 1451 518 Nucl. Phys. 21, no. 3, 255 (1975). 2031 1451 519 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2031 1451 520 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2031 1451 521 code with direct reactions, Duke University 2001, 2031 1451 522 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2031 1451 523 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2031 1451 524 (2003). 2031 1451 525 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2031 1451 526 (2004). 2031 1451 527 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2031 1451 528 (2004). 2031 1451 529 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2031 1451 530 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2031 1451 531 pointwise and multigroup neutron and photon cross 2031 1451 532 sections from ENDF/B Data, RSIC PSR-480 (2000). 2031 1451 533 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2031 1451 534 Preequilibrium Reactions, Semmering, Austria, 2031 1451 535 February 10-12 1988, (OECD, Paris 1988), p. 103. 2031 1451 536 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2031 1451 537 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2031 1451 538 Neutron Cross Sections, Vol. I, Neutron Resonance 2031 1451 539 Parameters and Thermal Cross Sections (Academic Press, 2031 1451 540 1981). 2031 1451 541 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2031 1451 542 No. CEA-N-2772, 1994. 2031 1451 543 [rip98] Handbook for calculations of nuclear reaction data: 2031 1451 544 Reference Input Parameter Library, IAEA-TECDOC-1034 2031 1451 545 (1998). 2031 1451 546 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2031 1451 547 S. Benck, J.P. Meulders, and V. Corcalciuc, 2031 1451 548 Journ. Phys. G, November 2003 (2003). 2031 1451 549 2031 1451 550 ************************* C O N T E N T S ************************2031 1451 551 2031 1451 552 ***************** Program LINEAR (VERSION 2007-1) ***************2031 1451 553 For All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 554 Data Linearized Using Energy Dependent Uncertainty 2031 1451 555 Energy Accuracy 2031 1451 556 (eV) (per-cent) 2031 1451 557 ----------- ----------- 2031 1451 558 0.0 .010000000 2031 1451 559 1.00000000 .010000000 2031 1451 560 10.0000000 .100000000 2031 1451 561 2.00000E+9 .100000000 2031 1451 562 ***************** Program RECENT (VERSION 2007-1) ***************2031 1451 563 for All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 564 Data Linearized Using Energy Dependent Uncertainty 2031 1451 565 Energy Accuracy 2031 1451 566 (eV) (per-cent) 2031 1451 567 ----------- ----------- 2031 1451 568 0.0 .010000000 2031 1451 569 1.00000000 .010000000 2031 1451 570 10.0000000 .100000000 2031 1451 571 2.00000E+9 .100000000 2031 1451 572 ***************** Program SIGMA1 (VERSION 2007-1) ***************2031 1451 573 Data Doppler Broadened to 1800.00000 Kelvin 2031 1451 574 for All Data Greater than 1.0000E-10 barns in Absolute Value 2031 1451 575 Data Linearized Using Energy Dependent Uncertainty 2031 1451 576 Energy Accuracy 2031 1451 577 (eV) (per-cent) 2031 1451 578 ----------- ----------- 2031 1451 579 0.0 .010000000 2031 1451 580 1.00000000 .010000000 2031 1451 581 10.0000000 .100000000 2031 1451 582 2.00000E+9 .100000000 2031 1451 583 ***************** Program FIXUP (Version 2007-1) ****************2031 1451 584 Corrected ZA/AWR in All Sections-----------------------------Yes 2031 1451 585 Corrected Thresholds-----------------------------------------No 2031 1451 586 Extended Cross Sections to 20 MeV----------------------------No 2031 1451 587 Allow Cross Section Deletion---------------------------------Yes 2031 1451 588 Allow Cross Section Reconstruction---------------------------Yes 2031 1451 589 Make All Cross Sections Non-Negative-------------------------Yes 2031 1451 590 Delete Energies Not in Ascending Order-----------------------Yes 2031 1451 591 Deleted Duplicate Points-------------------------------------Yes 2031 1451 592 Check for Ascending MAT/MF/MT Order--------------------------Yes 2031 1451 593 Check for Legal MF/MT Numbers--------------------------------Yes 2031 1451 594 Allow Creation of Missing Sections---------------------------No 2031 1451 595 Allow Insertion of Energy Points-----------------------------No 2031 1451 596 Create Uniform Energy Grid-----------------------------------No 2031 1451 597 Delete Section if Cross Section =0 at All Energies-----------Yes 2031 1451 598 **************** Program DICTIN (VERSION 2007-1) ****************2031 1451 599 1 451 766 12031 1451 600 2 151 60 12031 1451 601 3 1 3528 12031 1451 602 3 2 1120 12031 1451 603 3 4 28 12031 1451 604 3 5 25 12031 1451 605 3 16 8 12031 1451 606 3 22 11 12031 1451 607 3 28 9 12031 1451 608 3 29 6 12031 1451 609 3 32 5 12031 1451 610 3 51 19 12031 1451 611 3 52 19 12031 1451 612 3 53 20 12031 1451 613 3 54 16 12031 1451 614 3 55 17 12031 1451 615 3 56 17 12031 1451 616 3 57 18 12031 1451 617 3 58 17 12031 1451 618 3 59 14 12031 1451 619 3 60 17 12031 1451 620 3 61 17 12031 1451 621 3 62 16 12031 1451 622 3 63 16 12031 1451 623 3 64 16 12031 1451 624 3 65 16 12031 1451 625 3 66 16 12031 1451 626 3 67 16 12031 1451 627 3 68 16 12031 1451 628 3 69 16 12031 1451 629 3 70 16 12031 1451 630 3 91 14 12031 1451 631 3 102 1935 12031 1451 632 3 103 19 12031 1451 633 3 104 11 12031 1451 634 3 105 9 12031 1451 635 3 106 9 12031 1451 636 3 107 622 12031 1451 637 3 108 10 12031 1451 638 3 111 8 12031 1451 639 3 112 8 12031 1451 640 3 115 5 12031 1451 641 3 117 6 12031 1451 642 3 600 17 12031 1451 643 3 601 18 12031 1451 644 3 602 18 12031 1451 645 3 603 17 12031 1451 646 3 604 17 12031 1451 647 3 605 17 12031 1451 648 3 606 17 12031 1451 649 3 607 17 12031 1451 650 3 608 16 12031 1451 651 3 609 16 12031 1451 652 3 610 17 12031 1451 653 3 649 16 12031 1451 654 3 650 10 12031 1451 655 3 651 10 12031 1451 656 3 652 10 12031 1451 657 3 653 9 12031 1451 658 3 654 9 12031 1451 659 3 655 9 12031 1451 660 3 699 8 12031 1451 661 3 700 8 12031 1451 662 3 701 8 12031 1451 663 3 702 7 12031 1451 664 3 703 7 12031 1451 665 3 704 7 12031 1451 666 3 705 7 12031 1451 667 3 749 6 12031 1451 668 3 750 9 12031 1451 669 3 751 8 12031 1451 670 3 752 7 12031 1451 671 3 753 7 12031 1451 672 3 754 7 12031 1451 673 3 755 6 12031 1451 674 3 799 6 12031 1451 675 3 800 188 12031 1451 676 3 801 73 12031 1451 677 3 802 68 12031 1451 678 3 803 66 12031 1451 679 3 804 66 12031 1451 680 3 805 68 12031 1451 681 3 806 66 12031 1451 682 3 807 67 12031 1451 683 3 808 70 12031 1451 684 3 809 68 12031 1451 685 3 810 66 12031 1451 686 3 849 64 12031 1451 687 4 2 1220 12031 1451 688 6 5 8526 12031 1451 689 6 16 353 12031 1451 690 6 22 915 12031 1451 691 6 28 475 12031 1451 692 6 29 142 12031 1451 693 6 32 80 12031 1451 694 6 51 131 12031 1451 695 6 52 120 12031 1451 696 6 53 118 12031 1451 697 6 54 120 12031 1451 698 6 55 107 12031 1451 699 6 56 111 12031 1451 700 6 57 108 12031 1451 701 6 58 112 12031 1451 702 6 59 116 12031 1451 703 6 60 110 12031 1451 704 6 61 106 12031 1451 705 6 62 101 12031 1451 706 6 63 105 12031 1451 707 6 64 107 12031 1451 708 6 65 102 12031 1451 709 6 66 105 12031 1451 710 6 67 103 12031 1451 711 6 68 102 12031 1451 712 6 69 104 12031 1451 713 6 70 101 12031 1451 714 6 91 1164 12031 1451 715 6 102 1226 12031 1451 716 6 108 453 12031 1451 717 6 111 292 12031 1451 718 6 112 421 12031 1451 719 6 115 154 12031 1451 720 6 117 135 12031 1451 721 6 600 59 12031 1451 722 6 601 66 12031 1451 723 6 602 64 12031 1451 724 6 603 68 12031 1451 725 6 604 66 12031 1451 726 6 605 64 12031 1451 727 6 606 66 12031 1451 728 6 607 64 12031 1451 729 6 608 68 12031 1451 730 6 609 70 12031 1451 731 6 610 66 12031 1451 732 6 649 895 12031 1451 733 6 650 41 12031 1451 734 6 651 47 12031 1451 735 6 652 46 12031 1451 736 6 653 46 12031 1451 737 6 654 48 12031 1451 738 6 655 43 12031 1451 739 6 699 342 12031 1451 740 6 700 31 12031 1451 741 6 701 42 12031 1451 742 6 702 42 12031 1451 743 6 703 39 12031 1451 744 6 704 37 12031 1451 745 6 705 39 12031 1451 746 6 749 164 12031 1451 747 6 750 34 12031 1451 748 6 751 42 12031 1451 749 6 752 39 12031 1451 750 6 753 37 12031 1451 751 6 754 35 12031 1451 752 6 755 37 12031 1451 753 6 799 152 12031 1451 754 6 800 73 12031 1451 755 6 801 72 12031 1451 756 6 802 72 12031 1451 757 6 803 70 12031 1451 758 6 804 70 12031 1451 759 6 805 70 12031 1451 760 6 806 72 12031 1451 761 6 807 68 12031 1451 762 6 808 72 12031 1451 763 6 809 68 12031 1451 764 6 810 72 12031 1451 765 6 849 931 12031 1451 766 2031 1 0 767 2031 0 0 768 20042.0000 41.5981800 0 0 1 02031 2151 769 20042.0000 1.00000000 0 0 1 02031 2151 770 1.00000E-5 300000.000 1 2 0 02031 2151 771 0.0 .360000000 0 0 2 02031 2151 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127000.000 .500000000 11001.5000 11000.0000 1.50000000 0.0 2031 2151 787 132400.000 .500000000 2.47200000 1.41200000 1.06000000 0.0 2031 2151 788 144300.000 .500000000 75.9400000 75.0000000 .940000000 0.0 2031 2151 789 156800.000 .500000000 301.630000 300.000000 1.63000000 0.0 2031 2151 790 174400.000 .500000000 2501.90000 2500.00000 1.90000000 0.0 2031 2151 791 177300.000 .500000000 201.700000 200.000000 1.70000000 0.0 2031 2151 792 186800.000 .500000000 300.560000 300.000000 .560000000 0.0 2031 2151 793 200000.000 .500000000 301.020000 300.000000 1.02000000 0.0 2031 2151 794 211900.000 .500000000 1751.30000 1750.00000 1.30000000 0.0 2031 2151 795 229600.000 .500000000 51.0800000 50.0000000 1.08000000 0.0 2031 2151 796 259500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 797 274500.000 .500000000 751.060000 750.000000 1.06000000 0.0 2031 2151 798 278500.000 .500000000 1501.06000 1500.00000 1.06000000 0.0 2031 2151 799 356500.000 .500000000 1501.10000 1500.00000 1.10000000 0.0 2031 2151 800 399500.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 801 418000.000 .500000000 401.100000 400.000000 1.10000000 0.0 2031 2151 802 425000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 803 450500.000 .500000000 1751.10000 1750.00000 1.10000000 0.0 2031 2151 804 468500.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 805 478000.000 .500000000 751.100000 750.000000 1.10000000 0.0 2031 2151 806 491500.000 .500000000 1001.10000 1000.00000 1.10000000 0.0 2031 2151 807 513500.000 .500000000 5501.10000 5500.00000 1.10000000 0.0 2031 2151 808 532000.000 .500000000 6501.10000 6500.00000 1.10000000 0.0 2031 2151 809 545500.000 .500000000 2001.10000 2000.00000 1.10000000 0.0 2031 2151 810 555000.000 .500000000 301.100000 300.000000 1.10000000 0.0 2031 2151 811 560000.000 .500000000 501.100000 500.000000 1.10000000 0.0 2031 2151 812 570500.000 .500000000 10001.1000 10000.0000 1.10000000 0.0 2031 2151 813 41.2408000 0.0 1 0 84 142031 2151 814 9143.00000 .500000000 1.56000000 1.00000000 .560000000 0.0 2031 2151 815 36820.0000 1.50000000 1.36000000 1.00000000 .360000000 0.0 2031 2151 816 49870.0000 .500000000 10.3100000 10.0000000 .310000000 0.0 2031 2151 817 83249.9000 1.50000000 2.70000000 2.50000000 .200000000 0.0 2031 2151 818 119100.000 1.50000000 2.95000000 2.50000000 .450000000 0.0 2031 2151 819 126000.000 1.50000000 3.31000000 2.50000000 .810000000 0.0 2031 2151 820 131200.000 .500000000 5.44000000 5.00000000 .440000000 0.0 2031 2151 821 136300.000 .500000000 3.24000000 2.80000000 .440000000 0.0 2031 2151 822 145100.000 1.50000000 10.4700000 10.0000000 .470000000 0.0 2031 2151 823 213700.000 1.50000000 20.2000000 20.0000000 .200000000 0.0 2031 2151 824 221200.000 1.50000000 65.3400000 65.0000000 .340000000 0.0 2031 2151 825 224600.000 .500000000 7.02500000 6.70000000 .325000000 0.0 2031 2151 826 254000.000 .500000000 800.440000 800.000000 .440000000 0.0 2031 2151 827 280500.000 .500000000 750.440000 750.000000 .440000000 0.0 2031 2151 828 2031 2 0 829 2031 0 0 830 20042.0000 41.5981800 0 0 0 02031 3 1 831 0.0 0.0 0 0 1 105732031 3 1 832 10573 2 2031 3 1 833 1.00000E-5 61.0003958 1.02999E-5 60.1064706 1.05195E-5 59.48029072031 3 1 834 1.06087E-5 59.2259408 1.09269E-5 58.3579282 1.10660E-5 57.99489132031 3 1 835 1.12544E-5 57.5031864 1.15920E-5 56.6605029 1.16409E-5 56.54372352031 3 1 836 1.19395E-5 55.8306286 1.22457E-5 55.1310722 1.22976E-5 55.01249942031 3 1 837 1.26662E-5 54.2068074 1.28819E-5 53.7558853 1.30462E-5 53.41241522031 3 1 838 1.34372E-5 52.6303054 1.35511E-5 52.4123918 1.38403E-5 51.85909392031 3 1 839 1.42552E-5 51.0997463 1.46827E-5 50.3511012 1.49957E-5 49.82684602031 3 1 840 1.51229E-5 49.6137940 1.55765E-5 48.8868580 1.57748E-5 48.58288582031 3 1 841 1.60434E-5 48.1711514 1.65246E-5 47.4654534 1.65943E-5 47.36766592031 3 1 842 1.70199E-5 46.7705592 1.74564E-5 46.1847959 1.75304E-5 46.08549122031 3 1 843 1.80559E-5 45.4107947 1.83633E-5 45.0332786 1.85975E-5 44.74565892031 3 1 844 1.91550E-5 44.0906708 1.93174E-5 43.9081382 1.97295E-5 43.44495042031 3 1 845 2.03209E-5 42.8090354 2.09305E-5 42.1820676 2.13767E-5 41.74305192031 3 1 846 2.15579E-5 41.5647694 2.22045E-5 40.9561115 2.24872E-5 40.70156052031 3 1 847 2.28701E-5 40.3567867 2.35561E-5 39.7658603 2.36555E-5 39.68395462031 3 1 848 2.42622E-5 39.1840329 2.48844E-5 38.6935461 2.49899E-5 38.61037932031 3 1 849 2.57390E-5 38.0454841 2.61772E-5 37.7293763 2.65110E-5 37.48858032031 3 1 850 2.73057E-5 36.9401465 2.75372E-5 36.7873256 2.81247E-5 36.39949712031 3 1 851 2.89678E-5 35.8670552 2.98367E-5 35.3421430 3.04728E-5 34.97454382031 3 1 852 3.07311E-5 34.8252734 3.16528E-5 34.3157032 3.20559E-5 34.10252982031 3 1 853 3.26017E-5 33.8138916 3.35795E-5 33.3191887 3.37213E-5 33.25056212031 3 1 854 3.45861E-5 32.8320270 3.54731E-5 32.4213792 3.56235E-5 32.35174962031 3 1 855 3.66913E-5 31.8788225 3.73160E-5 31.6141722 3.77919E-5 31.41256012031 3 1 856 3.89247E-5 30.9539287 3.90482E-5 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50044.3035 1.09335198 50047.8475 1.090020802031 3 1 1829 50055.9022 1.08641655 50067.5010 1.08125876 50080.0663 1.075699272031 3 1 1830 50087.7988 1.07228968 50103.2638 1.06549162 50118.7288 1.058715862031 3 1 1831 50122.5950 1.05702619 50134.1938 1.05463964 50143.8594 1.052657772031 3 1 1832 50155.4582 1.05028532 50167.0569 1.04791831 50190.2544 1.043197442031 3 1 1833 50213.4519 1.03849026 50240.5157 1.03301137 50261.7800 1.028714932031 3 1 1834 50269.5125 1.02787161 50288.8438 1.02576833 50308.1750 1.023668212031 3 1 1835 50346.8375 1.01947543 50366.1688 1.01738204 50394.5213 1.014314602031 3 1 1836 50421.5850 1.01138929 50475.7125 1.00554445 50511.7975 1.001651152031 3 1 1837 50583.9675 .993870433 50674.1800 .984151788 50710.2984 .9802625322031 3 1 1838 50728.3576 .978794475 50818.6534 .971457381 50963.1268 .9597234532031 3 1 1839 51143.7186 .945061785 51179.8369 .942130100 51252.0735 .9370811072031 3 1 1840 51396.5469 .926984618 51685.4936 .906795012 51829.9669 .8967015282031 3 1 1841 51902.2036 .892293627 52118.9137 .879070962 52407.8604 .8614420072031 3 1 1842 52696.8071 .843814456 52985.7538 .828165749 53563.6473 .7968708932031 3 1 1843 53708.1207 .789047712 54286.0141 .760700449 54863.9075 .7323550682031 3 1 1844 55499.8145 .701166346 55783.2962 .687263740 56188.2701 .6674045562031 3 1 1845 56431.2543 .655490387 56633.7412 .644410626 56876.7256 .6311172362031 3 1 1846 56998.2177 .624471973 57160.2072 .614032589 57241.2019 .6088143012031 3 1 1847 57322.1967 .603597790 57362.6941 .600397302 57463.9376 .5923996962031 3 1 1848 57544.9324 .586005180 57565.1810 .584407384 57585.4297 .5823712552031 3 1 1849 57625.9271 .578300378 57686.6732 .572197655 57717.0462 .5691483402031 3 1 1850 57727.1705 .568132484 57747.4192 .565223114 57777.7923 .5608611682031 3 1 1851 57818.2897 .555049426 57858.7871 .549243976 57879.0357 .5463443092031 3 1 1852 57909.7513 .541950760 57916.6150 .540970631 57937.2063 .5363195862031 3 1 1853 57964.6613 .530126385 57978.3888 .527033643 58003.6763 .5213451022031 3 1 1854 58017.7650 .518183476 58027.1575 .514982988 58045.9425 .5085937592031 3 1 1855 58064.7275 .502218261 58081.3450 .496593278 58088.5700 .4941549642031 3 1 1856 58095.7950 .490493451 58110.2450 .483187925 58124.6950 .4759049822031 3 1 1857 58137.7000 .469375451 58139.1450 .468653191 58149.2600 .4612559652031 3 1 1858 58160.8200 .452833658 58166.6000 .448637290 58172.3800 .4444527882031 3 1 1859 58175.2700 .442370131 58182.1338 .435899444 58189.7200 .4287833092031 3 1 1860 58190.0813 .428377424 58198.0288 .419492067 58204.1700 .4126686712031 3 1 1861 58205.9763 .410279501 58213.2013 .400784966 58215.0075 .3984296112031 3 1 1862 58219.7038 .390740826 58222.9550 .385447024 58226.2063 .3801763382031 3 1 1863 58229.4575 .374932853 58233.0700 .369157461 58235.1472 .3647725322031 3 1 1864 58239.7532 .355145674 58242.2819 .349908355 58244.8107 .3447133822031 3 1 1865 58247.5200 .339219740 58248.6038 .336645079 58250.5004 .3321969482031 3 1 1866 58252.3969 .327797120 58254.2935 .323454770 58256.1900 .3191823762031 3 1 1867 58257.6802 .315883842 58259.1704 .312646338 58260.6606 .3094802952031 3 1 1868 58263.1441 .304397108 58265.1310 .300545669 58267.1179 .2987672562031 3 1 1869 58269.1048 .297285641 58270.0982 .296727303 58271.0916 .2973846292031 3 1 1870 58272.8075 .298885853 58272.8979 .299106027 58274.5235 .3034401672031 3 1 1871 58275.9685 .307664094 58276.1491 .308598077 58277.7747 .3174911252031 3 1 1872 58278.6779 .322744952 58279.4004 .328432029 58280.0325 .3336595372031 3 1 1873 58281.0260 .343529403 58281.3873 .347283552 58282.6516 .3628400342031 3 1 1874 58282.7419 .363997966 58284.2772 .387659037 58284.5482 .3919522262031 3 1 1875 58285.0900 .402403437 58286.1738 .423704639 58286.3544 .4273347132031 3 1 1876 58287.2575 .449126094 58288.1607 .471352367 58288.3413 .4766375372031 3 1 1877 58289.4250 .508906741 58289.9669 .525338849 58290.5088 .5446533922031 3 1 1878 58291.5925 .583907635 58291.7732 .590563930 58292.6763 .6292548832031 3 1 1879 58293.5794 .668529764 58293.7600 .677594192 58294.8438 .7327258962031 3 1 1880 58295.3857 .760675576 58295.9275 .792621841 58297.1919 .8681852972031 3 1 1881 58298.9982 .992855420 58299.3594 1.02090114 58300.8044 1.135420352031 3 1 1882 58301.5269 1.19927453 58302.6107 1.29684541 58303.6944 1.403401942031 3 1 1883 58303.9654 1.43043881 58305.3200 1.57915747 58306.3315 1.691933002031 3 1 1884 58307.8488 1.87707197 58308.3545 1.94288137 58309.3660 2.076150092031 3 1 1885 58310.0885 2.17947723 58312.2560 2.49194787 58314.2790 2.809036122031 3 1 1886 58314.8570 2.90427005 58316.3020 3.14352233 58321.7930 4.103040992031 3 1 1887 58324.6830 4.60480733 58326.8505 4.97751798 58328.0788 5.186272102031 3 1 1888 58329.0180 5.33122944 58330.6798 5.58358374 58331.1855 5.652753342031 3 1 1889 58333.0640 5.90420948 58333.3530 5.93783636 58335.3038 6.158530662031 3 1 1890 58335.4483 6.17218538 58337.3123 6.34224539 58337.3412 6.344322342031 3 1 1891 58339.3064 6.47788831 58339.9856 6.50455615 58342.8322 6.601228802031 3 1 1892 58343.4102 6.60460046 58344.5518 6.60591670 58345.4910 6.589321252031 3 1 1893 58346.3580 6.57136458 58347.2250 6.53652869 58348.3088 6.488760322031 3 1 1894 58350.4040 6.35488521 58350.9820 6.30690842 58352.5715 6.169465362031 3 1 1895 58353.0050 6.12158479 58355.3170 5.86158202 58356.7982 5.692559912031 3 1 1896 58357.9180 5.53820260 58361.6750 5.01608417 58365.7933 4.400306402031 3 1 1897 58368.1775 4.04615235 58369.9838 3.77989788 58370.3450 3.729237662031 3 1 1898 58372.0790 3.48809366 58373.0544 3.35359697 58373.8130 3.257462662031 3 1 1899 58375.2219 3.08051955 58376.8475 2.87820941 58377.1727 2.838206782031 3 1 1900 58379.0150 2.63265586 58379.2318 2.60882220 58381.1825 2.410303292031 3 1 1901 58381.2909 2.39944378 58383.3500 2.21014180 58385.1563 2.060404232031 3 1 1902 58385.2466 2.05354059 58386.9625 1.92523224 58387.1432 1.912906722031 3 1 1903 58388.7688 1.80387669 58389.0397 1.78738038 58390.5750 1.695483592031 3 1 1904 58390.9363 1.67593130 58391.8846 1.62529003 58392.3813 1.598984582031 3 1 1905 58392.8329 1.57853391 58393.8715 1.53195289 58395.4971 1.459920822031 3 1 1906 58395.9938 1.43820703 58397.1227 1.39863685 58398.7483 1.342513692031 3 1 1907 58399.6063 1.31329000 58400.3740 1.29242798 58401.9996 1.248913042031 3 1 1908 58403.2188 1.21670733 58403.6252 1.20790697 58405.2508 1.173201752031 3 1 1909 58405.9282 1.15892428 58407.0119 1.13959660 58408.0957 1.120481982031 3 1 1910 58408.6375 1.11099834 58409.1794 1.10342527 58410.2632 1.088408222031 3 1 1911 58411.3469 1.07350818 58412.4307 1.05871023 58413.6950 1.041603722031 3 1 1912 58414.5982 1.03182021 58416.5850 1.01056966 58416.7657 1.008952512031 3 1 1913 58418.9332 .989789166 58420.9200 .972411602 58421.6425 .9676071162031 3 1 1914 58423.2682 .956905058 58425.0744 .945091584 58426.9710 .9327593392031 3 1 1915 58428.8675 .920489281 58429.5900 .915834303 58430.7641 .9100127552031 3 1 1916 58434.5572 .891327133 58435.3700 .887351428 58438.9825 .8739612312031 3 1 1917 58441.5113 .864644023 58446.4785 .846432856 58449.8200 .8342482772031 3 1 1918 58452.1682 .827864184 58455.4194 .819067134 58460.6575 .8049517892031 3 1 1919 58461.9219 .802375804 58468.4244 .789204188 58476.0107 .7739106942031 3 1 1920 58480.1650 .765570027 58483.9582 .760340191 58491.9057 .7494342332031 3 1 1921 58495.8794 .743997041 58501.8400 .735857669 58507.6200 .7279812442031 3 1 1922 58510.5100 .724049907 58513.4000 .721215410 58519.1800 .7155582762031 3 1 1923 58530.7400 .704273560 58532.1850 .702866926 58542.3000 .6958966142031 3 1 1924 58555.3050 .686963956 58569.7550 .677066676 58582.7600 .6681794472031 3 1 1925 58584.2050 .667549481 58598.6550 .661267337 58616.3563 .6535901822031 3 1 1926 58626.8325 .649054262 58647.7850 .639995830 58655.0100 .6368771322031 3 1 1927 58668.7375 .633062106 58689.6900 .627250071 58703.9788 .6232914692031 3 1 1928 58732.5563 .615383822 58761.1338 .607486096 58761.5800 .6073629132031 3 1 1929 58796.8557 .600881755 58835.2000 .593846314 58876.8000 .5862215982031 3 1 1930 58928.8000 .576699484 58957.4000 .571466458 58984.0500 .5674249952031 3 1 1931 59011.3500 .563287334 59079.6000 .552948755 59147.8500 .5426172922031 3 1 1932 59216.1000 .532292237 59282.4000 .522268440 59324.0000 .5159830482031 3 1 1933 59344.8000 .512129311 59407.2000 .500575434 59438.4000 .4948017242031 3 1 1934 59469.6000 .489030551 59500.8000 .483262292 59532.0000 .4774974132031 3 1 1935 59563.2000 .469695620 59604.1500 .459463013 59643.1500 .4497271522031 3 1 1936 59675.0000 .441785855 59682.1500 .439536491 59701.6500 .4334073292031 3 1 1937 59721.1500 .427282483 59729.6000 .424630527 59740.6500 .4205696022031 3 1 1938 59756.9000 .414602054 59784.2000 .404588802 59789.4000 .4023459302031 3 1 1939 59815.4000 .391148695 59828.4000 .385559790 59841.4000 .3786957482031 3 1 1940 59854.4000 .371840597 59880.4000 .358152302 59893.4000 .3513244232031 3 1 1941 59901.2000 .346142097 59922.0000 .332352165 59939.5500 .3207475832031 3 1 1942 59941.5000 .319234025 59953.2000 .310172208 59961.6500 .3036402562031 3 1 1943 59964.9000 .300828344 59980.5000 .287363874 59983.7500 .2845683832031 3 1 1944 59996.1000 .272303912 60009.7500 .258795987 60014.3000 .2543114392031 3 1 1945 60022.7500 .244518627 60035.7500 .229515898 60040.3000 .2242929042031 3 1 1946 60048.7500 .213414692 60053.3000 .207589980 60059.8000 .1986055152031 3 1 1947 60066.3000 .189673853 60070.2000 .183901171 60079.3000 .1705219142031 3 1 1948 60080.6000 .168491280 60089.0500 .155398979 60091.0000 .1522176292031 3 1 1949 60095.5500 .144845254 60101.4000 .135420764 60102.0500 .1343829562031 3 1 1950 60109.2000 .122532851 60117.0000 .109763352 60124.8000 .0971945022031 3 1 1951 60130.6500 .088346295 60131.5600 .087055817 60135.3300 .0818477052031 3 1 1952 60138.3200 .078185379 60141.1800 .074779505 60141.7000 .0742890922031 3 1 1953 60145.0800 .071193209 60146.1200 .070273296 60148.4600 .0689044492031 3 1 1954 60150.0200 .068048978 60151.8400 .067655891 60153.2700 .0674261992031 3 1 1955 60156.0000 .067971792 60156.9100 .068521076 60158.6000 .0696830102031 3 1 1956 60160.6800 .072013388 60161.9800 .074071404 60162.7600 .0753679882031 3 1 1957 60164.5150 .079250788 60164.8400 .079990680 60165.8800 .0828542022031 3 1 1958 60166.9200 .086089210 60167.0500 .086544330 60167.9600 .0897983702031 3 1 1959 60169.0000 .093961081 60169.5850 .096575640 60170.0400 .0986492322031 3 1 1960 60171.0475 .103746704 60172.0225 .109197112 60172.1200 .1097971122031 3 1 1961 60172.9813 .115178005 60173.9238 .121634066 60174.2000 .1237052482031 3 1 1962 60174.8663 .128766946 60176.2800 .140957547 60176.6050 .1437954752031 3 1 1963 60177.5800 .153436125 60178.2300 .160463917 60178.5550 .1640171022031 3 1 1964 60179.5300 .175657654 60180.1800 .184129908 60180.5050 .1884110192031 3 1 1965 60181.4800 .202416374 60182.1300 .212551573 60182.3575 .2161349622031 3 1 1966 60183.2350 .231060580 60184.0800 .246579287 60184.1125 .2471842782031 3 1 1967 60184.9900 .264801117 60185.8675 .283798588 60186.7450 .3042819972031 3 1 1968 60187.3300 .319003141 60187.6225 .326462056 60188.5000 .3505568352031 3 1 1969 60189.3775 .376497029 60189.9300 .394076866 60190.2550 .4045352942031 3 1 1970 60191.1325 .434897258 60192.5300 .488816669 60192.8875 .5027629542031 3 1 1971 60194.6425 .581659012 60195.1300 .606878462 60196.3975 .6730870782031 3 1 1972 60197.7300 .752940278 60198.1525 .778507667 60199.9075 .8999561002031 3 1 1973 60200.3300 .933316664 60201.6625 1.03947108 60203.1250 1.171922762031 3 1 1974 60203.4175 1.19864606 60205.2050 1.38379692 60205.6600 1.437421122031 3 1 1975 60207.1550 1.61488904 60208.1950 1.75541992 60209.1050 1.879286652031 3 1 1976 60210.9900 2.17155610 60211.2500 2.21217058 60212.4200 2.414226132031 3 1 1977 60213.5900 2.63067455 60213.9150 2.69495428 60214.7600 2.863150152031 3 1 1978 60216.0600 3.14008792 60216.8400 3.31809482 60217.3600 3.437332202031 3 1 1979 60218.7900 3.79890533 60219.9600 4.09576125 60220.7400 4.311806472031 3 1 1980 60221.1300 4.42032417 60222.8850 4.94063520 60224.6400 5.499108262031 3 1 1981 60226.3950 6.09716805 60227.2400 6.41038895 60229.8400 7.376390372031 3 1 1982 60229.9050 7.40059841 60232.2450 8.34084158 60235.0400 9.520635052031 3 1 1983 60240.2400 11.7980647 60244.1400 13.5010391 60245.1800 13.93042242031 3 1 1984 60246.8700 14.6235998 60249.6000 15.6585116 60249.8080 15.72844442031 3 1 1985 60252.0960 16.4914653 60252.4080 16.5948152 60254.5920 17.21242212031 3 1 1986 60254.6960 17.2414858 60257.0880 17.7873259 60258.5440 18.04493942031 3 1 1987 60258.9808 18.1209435 60259.9896 18.2240536 60262.7040 18.49343232031 3 1 1988 60263.9520 18.5220625 60264.7840 18.5377567 60267.7220 18.37867262031 3 1 1989 60268.3200 18.3440362 60270.6600 18.0384141 60272.0900 17.77597802031 3 1 1990 60273.0000 17.6059751 60275.6000 16.9912755 60276.9000 16.62643912031 3 1 1991 60278.2000 16.2584520 60281.0600 15.3443360 60284.7000 14.03983402031 3 1 1992 60291.5900 11.5698768 60294.3200 10.5944700 60295.8800 10.03910872031 3 1 1993 60298.4150 9.22886991 60301.0800 8.38142685 60301.9250 8.140423902031 3 1 1994 60303.6800 7.64245751 60304.9800 7.31221253 60307.5800 6.654958142031 3 1 1995 60310.1800 6.09280593 60311.4800 5.81305145 60312.7800 5.576622092031 3 1 1996 60315.3800 5.10620765 60315.4450 5.09638494 60318.1750 4.686186072031 3 1 1997 60319.2800 4.52100181 60320.9050 4.31979572 60323.1800 4.039620292031 3 1 1998 60323.6350 3.99334700 60326.3650 3.71726034 60327.0800 3.645299852031 3 1 1999 60329.1600 3.47241980 60330.7200 3.34327376 60330.9800 3.321827492031 3 1 2000 60333.5800 3.13862948 60333.8400 3.12240336 60336.1800 2.977154552031 3 1 2001 60336.9600 2.93641903 60340.0800 2.77432195 60341.3800 2.707023142031 3 1 2002 60342.1600 2.67456955 60345.9300 2.51835190 60346.5800 2.491534282031 3 1 2003 60349.8300 2.37922317 60350.4800 2.35683256 60351.7800 2.317880992031 3 1 2004 60354.3800 2.24016346 60356.9800 2.17262264 60358.8000 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