20-Ca- 43 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 20043.0000 42.5897300 2 0 0 12034 1451 1 0.0 0.0 0 0 0 62034 1451 2 1.00000000 200000000. 1 0 10 72034 1451 3 1800.00000 0.0 1 0 591 1672034 1451 4 20-Ca- 43 NRG EVAL-OCT04 A.J. Koning 2034 1451 5 DIST-DEC06 REV1-MAY05 20050504 2034 1451 6 ----ENDF/B-VII MATERIAL 2034 REVISION 1 2034 1451 7 -----INCIDENT NEUTRON DATA 2034 1451 8 ------ENDF-6 FORMAT 2034 1451 9 ***************************** ENDF/B-VII *************************2034 1451 10 ** **2034 1451 11 ** Original data taken from: JEFF-3.1 **2034 1451 12 ** **2034 1451 13 ******************************************************************2034 1451 14 ***************************** JEFF-3.1 *************************2034 1451 15 ** **2034 1451 16 ** Original data taken from: New evaluation **2034 1451 17 ** **2034 1451 18 ******************************************************************2034 1451 19 2034 1451 20 NRG-2004: n + Ca-43 2034 1451 21 2034 1451 22 Author: A.J. Koning, NRG Petten 2034 1451 23 2034 1451 24 ************** G E N E R A L I N F O R M A T I O N *************2034 1451 25 2034 1451 26 This evaluated data file is based primarily on a theoretical 2034 1451 27 analysis with the nuclear model code TALYS [kon04], version 0.56. 2034 1451 28 The nuclear model parameters of TALYS have been adjusted to 2034 1451 29 reproduce the existing experimental data. The resulting data file 2034 1451 30 provides a complete representation of nuclear data needed for 2034 1451 31 transport, damage, heating, radioactivity, and shielding 2034 1451 32 applications over the incident neutron energy range from 2034 1451 33 1.0E-11 to 200 MeV. 2034 1451 34 2034 1451 35 This file is part of a larger collection of isotopic evaluations, 2034 1451 36 all created by running TALYS with input parameters that do not or 2034 1451 37 slightly deviate from the default values. The mutual quality of 2034 1451 38 these isotopic evaluations is thus relatively consistent. 2034 1451 39 The same set of nuclear models is used and, equally important, 2034 1451 40 the same ENDF-6 formatting procedures for each isotope. We have 2034 1451 41 intended to make this evaluation complete in its description of 2034 1451 42 reaction channels, and use a compact method to store the data. 2034 1451 43 2034 1451 44 For certain reactions and energy ranges TALYS may not be used. 2034 1451 45 This is the case when TALYS is not appropriate, such as for the 2034 1451 46 description of resonances, or when the directly available 2034 1451 47 experimental data is of better quality, as for e.g. low-energy 2034 1451 48 total cross sections. In these cases, we have adopted the best 2034 1451 49 possible data from an existing library, or directly from unfiled 2034 1451 50 experimental data. All transport data for particles, photons and 2034 1451 51 residual nuclides are filed using a combination of MF1,2,3,4 and 2034 1451 52 MF6. This includes cross sections, angular distributions, 2034 1451 53 double-differential spectra, discrete and continuum photon 2034 1451 54 production cross sections, and residual production (activation) 2034 1451 55 cross sections. Moreover, isomeric production data are stored in 2034 1451 56 MF8 and MF10. This evaluation can thus be used as both transport 2034 1451 57 and activation library. The data file has been created 2034 1451 58 automatically using the ENDF-6 format generator TEFAL. 2034 1451 59 2034 1451 60 ##### ORIGIN 2034 1451 61 2034 1451 62 Data < 200 MeV : New evaluation NRG Petten 2034 1451 63 2034 1451 64 Resonance parameters (MF2/MT151): JENDL-3.3 for E < 40 keV 2034 1451 65 All other data : Produced with TALYS code 2034 1451 66 2034 1451 67 *************************** T H E O R Y **************************2034 1451 68 2034 1451 69 TALYS is a computer code system for the prediction and analysis 2034 1451 70 of nuclear reactions. TALYS simulates reactions that involve 2034 1451 71 neutrons, gamma-rays, protons, deuterons, tritons, helions and 2034 1451 72 alpha-particles, in the 1 keV - 200 MeV energy range and for 2034 1451 73 target nuclides of mass 12 and heavier. This is achieved by 2034 1451 74 implementing a suite of nuclear reaction models into a single 2034 1451 75 code system. It enables to evaluate nuclear reactions from 2034 1451 76 the unresolved resonance region up to intermediate energies. This 2034 1451 77 evaluation is based on a theoretical analysis that utilizes the 2034 1451 78 optical model, compound nucleus statistical theory, direct 2034 1451 79 reactions and pre-equilibrium processes, in combination with 2034 1451 80 databases and models for nuclear structure. For Ca-43, the 2034 1451 81 following output of TALYS is stored in this data file: 2034 1451 82 2034 1451 83 - Total, elastic and non-elastic cross sections 2034 1451 84 - Elastic scattering angular distributions 2034 1451 85 - Inelastic cross sections to discrete states 2034 1451 86 - Inelastic scattering angular distributions to discrete states 2034 1451 87 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 2034 1451 88 - Exclusive channel energy spectra 2034 1451 89 - Exclusive channel double-differential spectra 2034 1451 90 - Exclusive gamma production for discrete states and continuum 2034 1451 91 - Isomeric and ground state cross sections 2034 1451 92 - Residual production cross sections 2034 1451 93 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 2034 1451 94 - Total particle energy spectra 2034 1451 95 - Total particle double-differential spectra 2034 1451 96 2034 1451 97 Here follows a short description of the used nuclear models: 2034 1451 98 2034 1451 99 ##### OPTICAL MODEL 2034 1451 100 2034 1451 101 All optical model calculations are performed by ECIS-97 [ray94], 2034 1451 102 in TALYS used as a subroutine. The default optical model 2034 1451 103 potentials (OMP) used are the local and global parameterizations 2034 1451 104 of Koning and Delaroche [kon03]. These are phenomenological OMPs 2034 1451 105 for neutrons and protons which in principle are valid over the 2034 1451 106 1 keV - 200 MeV energy range, though the low energy boundary of 2034 1451 107 validity may differ from nucleus to nucleus (e.g. for the total 2034 1451 108 cross sections, experimental data are included directly in the 2034 1451 109 file for energies below that boundary). Solving the Schroedinger 2034 1451 110 equation with this OMP yields the total cross section, the 2034 1451 111 shape-elastic cross section, the shape-elastic angular 2034 1451 112 distribution, the wave functions for the direct reaction cross 2034 1451 113 sections (see below), the transmission coefficients for the 2034 1451 114 compound nucleus model (see below) and the reaction cross 2034 1451 115 sections for the pre-equilibrium model (see below). 2034 1451 116 For neutrons and protons, the used parameterization is given in 2034 1451 117 Eq. (7) of [kon03]. 2034 1451 118 To calculate the transmission coefficients and reaction cross 2034 1451 119 sections for deuterons, tritons, helions and alpha particles, we 2034 1451 120 use OMPs that are directly derived from our nucleon potentials 2034 1451 121 using Watanabe's folding approach [mad88]. 2034 1451 122 2034 1451 123 ##### DIRECT REACTIONS 2034 1451 124 2034 1451 125 The built-in ECIS-97 is used for coupled-channels or DWBA 2034 1451 126 calculations for rotational or vibrational (or a combination of 2034 1451 127 these) nuclides. For Ca-43, DWBA was used to compute the direct 2034 1451 128 cross sections to several low-lying discrete levels of the 2034 1451 129 even-even core Ca-42. The weak-coupling model was then used 2034 1451 130 to spread the collective strength over the odd levels of Ca-43. 2034 1451 131 2034 1451 132 In addition, a macroscopic, phenomenological model to describe 2034 1451 133 giant resonances in the inelastic channel is used. For each 2034 1451 134 multipolarity an energy weighted sum rule applies and a DWBA 2034 1451 135 calculation with ECIS-97 is performed for each giant resonance 2034 1451 136 state. The cross section is then spread over the continuum with a 2034 1451 137 Gaussian distribution. 2034 1451 138 2034 1451 139 ##### COMPOUND NUCLEUS 2034 1451 140 2034 1451 141 For binary compound nucleus reactions we use the model of 2034 1451 142 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 2034 1451 143 corrected for width fluctuations. The transmission coefficients 2034 1451 144 have been generated with the aforementioned OMPs and the full 2034 1451 145 j,l-dependence of the transmission coefficients in the 2034 1451 146 Hauser-Feshbach model is used. For each nucleus that can be 2034 1451 147 reached through a binary reaction, several discrete levels and a 2034 1451 148 continuum described by level densities are included 2034 1451 149 simultaneously as competing channels. 2034 1451 150 2034 1451 151 The compound nucleus angular distributions are calculated with 2034 1451 152 the Blatt-Biedenharn formalism [bla52], leading to compound 2034 1451 153 nucleus Legendre coefficients that are added to their direct 2034 1451 154 counterparts. For multiple compound emission, i.e. emitted 2034 1451 155 particles after the binary emission, we use the Hauser-Feshbach 2034 1451 156 model. Again, for each residual nucleus several discrete states 2034 1451 157 are included as well as a continuum described by level densities. 2034 1451 158 Multiple compound emission is continued until all reaction 2034 1451 159 channels are closed and the population distribution of all 2034 1451 160 residual nuclides is depleted, through gamma decay, until they 2034 1451 161 end up in the ground state or in an isomer. 2034 1451 162 2034 1451 163 For the level density, we take the composite formula proposed by 2034 1451 164 Gilbert and Cameron [gil65], consisting of a constant temperature 2034 1451 165 law at low energies and a Fermi gas expression at high energies. 2034 1451 166 For the level density parameter a we use the energy dependent 2034 1451 167 expression proposed by Ignatyuk [ign75] to take into account the 2034 1451 168 damping of shell effects at high excitation energy. We have 2034 1451 169 obtained the parameters for the Ignatyuk formula from a 2034 1451 170 simultaneous fit to all experimental D_0 values as present in the 2034 1451 171 RIPL library. If necessary, we adjust individual parameters to 2034 1451 172 obtain a better fit to experiment. 2034 1451 173 2034 1451 174 Gamma-ray transmission coefficients are generated with the 2034 1451 175 Kopecky-Uhl generalized Lorentzian for strength 2034 1451 176 functions [kop90], with giant dipole resonance parameters taken 2034 1451 177 from the RIPL library [rip98], and normalized with experimental 2034 1451 178 radiative widths [gar84]. 2034 1451 179 2034 1451 180 ##### PRE-EQUILIBRIUM REACTIONS 2034 1451 181 2034 1451 182 For pre-equilibrium reactions, which become important for 2034 1451 183 incident energies above about 10 MeV, we use the two-component 2034 1451 184 exciton model [kon04b], in which the neutron or proton types of 2034 1451 185 particles and holes are followed throughout the reaction. For 2034 1451 186 energies above 20 MeV, multiple pre-equilibrium emission up to 2034 1451 187 any order of particle emission was included in the calculations. 2034 1451 188 A parameterization for the squared matrix element is used that is 2034 1451 189 valid for the whole energy range of this evaluation. 2034 1451 190 2034 1451 191 For deuterons, tritons, helions and alpha-particles, an extra 2034 1451 192 contribution was added from the pick/up and knock-out reaction 2034 1451 193 model by Kalbach [kal01]. 2034 1451 194 2034 1451 195 For photons, the model of Akkermans and Gruppelaar [akk85] was 2034 1451 196 applied, to simulate the direct and semi-direct capture 2034 1451 197 processes. 2034 1451 198 2034 1451 199 The angular distribution systematics by Kalbach [kal88] were used 2034 1451 200 to describe the angular distributions for all continuum 2034 1451 201 particles. An isotopic distribution for photons was adopted. 2034 1451 202 2034 1451 203 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****2034 1451 204 2034 1451 205 This evaluation was performed simultaneously with other adjacent 2034 1451 206 isotopes, both for incident neutrons and protons. This enables, 2034 1451 207 when compared with a single-isotope effort, to put stronger 2034 1451 208 constraints on the produced calculated data, i.e. a globally 2034 1451 209 good comparison between TALYS and experimental data is requested 2034 1451 210 for all isotopes at the same time, while nucleus-specific input 2034 1451 211 (default or adjusted) parameters are consistently used for all 2034 1451 212 isotopes. Also, experimental data that is not available for the 2034 1451 213 isotope under study may be present, and tested, for adjacent 2034 1451 214 nuclides or for other projectiles. If these can be successfully 2034 1451 215 described by the models, a similar performance can be expected 2034 1451 216 for the present data file. 2034 1451 217 A few level density parameters for residual nuclides have been 2034 1451 218 adjusted to enforce agreement with the experimental data. The 2034 1451 219 changes in the level density parameters, a, were all kept within 2034 1451 220 10% of their default values. 2034 1451 221 2034 1451 222 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 2034 1451 223 2034 1451 224 The spherical OMP was tested against experimental data for total 2034 1451 225 cross sections and elastic scattering angular distributions. 2034 1451 226 Consult [kon03] for the complete experimental database and for a 2034 1451 227 comparison of calculations and measurements over the whole energy 2034 1451 228 range for natural Ca. 2034 1451 229 2034 1451 230 ##### OTHER PARTIAL CROSS SECTIONS 2034 1451 231 2034 1451 232 - (n,gamma): 2034 1451 233 2034 1451 234 The calculated capture cross section is renormalized, by 2034 1451 235 overruling the default renormalization to the s-wave strength 2034 1451 236 function, to the available experimental data, all taken from the 2034 1451 237 EXFOR database. A normalization factor of 0.80 was used. The 2034 1451 238 pre-equilibrium gamma cross section was adjusted to the data by 2034 1451 239 multiplying the calculated result by a factor of 3.0. 2034 1451 240 2034 1451 241 - (n,p): 2034 1451 242 2034 1451 243 Many experimental (n,p) cross sections are available from EXFOR. 2034 1451 244 These have been used as validation for our TALYS calculation. 2034 1451 245 2034 1451 246 ##### PARTICLE SPECTRA 2034 1451 247 2034 1451 248 For Ca-43, an adjustment of the default matrix element 2034 1451 249 parameterization of [kon04b] for pre-equilibrium reactions of a 2034 1451 250 factor of 0.7 was needed, to describe the aforementioned cross 2034 1451 251 sections and emission spectra for nuclides in this mass range. 2034 1451 252 For high-energy neutron and charged particle spectra, the average 2034 1451 253 quality is also determined by the pre-equilibrium model and its 2034 1451 254 global parameterization. No high-energy experiments are 2034 1451 255 available, though neutron induced reaction spectra between 28 and 2034 1451 256 63 MeV on Al [ben02], Si [ben02b] and Fe [sly03] have enabled us 2034 1451 257 to better constrain the results, through the aforementioned 2034 1451 258 matrix element, for particle yields and double-differential 2034 1451 259 spectra for all ejectiles up to alpha particles. 2034 1451 260 2034 1451 261 ***************** F I L E I N F O R M A T I O N ****************2034 1451 262 2034 1451 263 ##### MF1: GENERAL INFORMATION 2034 1451 264 2034 1451 265 - MT451 : Descriptive data and directory 2034 1451 266 2034 1451 267 This text and the full directory of used MF/MT sections. 2034 1451 268 2034 1451 269 ##### MF2: RESONANCE PARAMETERS 2034 1451 270 2034 1451 271 - MT151 : Resonance parameters 2034 1451 272 2034 1451 273 Resolved parameters for MLBW formula were adopted from JENDL-3.3. 2034 1451 274 They are given in the energy region from 1.0e-5 eV to 40 keV. 2034 1451 275 Parameters were taken from the recommended data of BNL [mug81] 2034 1451 276 and the data for a negative resonance were added so as to 2034 1451 277 reproduce the recommended thermal cross sections for capture and 2034 1451 278 scattering [mug81]. The scattering radius was assumed to be 2034 1451 279 3.6 fermi. Calculated 2200 m/sec cross sections and resonance 2034 1451 280 integrals are as follows: 2034 1451 281 2034 1451 282 2200 m/s cross section(b) res. integral(b) 2034 1451 283 elastic 4.160 2034 1451 284 capture 11.66 5.798 2034 1451 285 total 15.82 2034 1451 286 2034 1451 287 2034 1451 288 ##### MF3: REACTION CROSS SECTIONS 2034 1451 289 2034 1451 290 Unless stated otherwise, all the data present in the following 2034 1451 291 MT-sections have been calculated with TALYS. If the maximal cross 2034 1451 292 section in an excitation function over the whole energy range 2034 1451 293 does not exceed 1.e-9 b, the MT-number is not included at all. 2034 1451 294 Cross sections lower than 1.e-20 b are assumed to have no 2034 1451 295 physical meaning and are set to zero. 2034 1451 296 2034 1451 297 - MT1 : Total cross section 2034 1451 298 2034 1451 299 Above 40 keV, calculations from the spherical OMP [kon03] were 2034 1451 300 used. 2034 1451 301 2034 1451 302 - MT2 : Elastic scattering cross section 2034 1451 303 2034 1451 304 Obtained by subtracting the non-elastic cross section from the 2034 1451 305 total cross section. Below 40 keV, resonance parameters are 2034 1451 306 used. 2034 1451 307 2034 1451 308 - MT3 : Non-elastic cross section 2034 1451 309 2034 1451 310 Calculated with the optical model over the whole energy range. 2034 1451 311 Below 40 keV, resonance parameters are used. 2034 1451 312 2034 1451 313 - MT4 : Total inelastic cross section 2034 1451 314 2034 1451 315 Sum of MT=51-91. 2034 1451 316 2034 1451 317 - MT5 : (n,anything) cross section 2034 1451 318 2034 1451 319 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 2034 1451 320 cross section, where x may represent neutron, proton, deuteron, 2034 1451 321 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 2034 1451 322 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 2034 1451 323 recovered. These cross sections are relatively small. However, 2034 1451 324 addition of these cross sections, which can not be stored in any 2034 1451 325 other MT-number, ensures that the partial cross sections add up 2034 1451 326 to the non-elastic cross section. Above 20 MeV, MT5 contains the 2034 1451 327 total non-elastic cross section, with which the information of 2034 1451 328 MF6/MT5 can be combined to obtain particle production cross 2034 1451 329 sections and (double-)differential cross sections. 2034 1451 330 2034 1451 331 - MT16 : (n,2n) cross section 2034 1451 332 - MT17 : (n,3n) cross section 2034 1451 333 - MT22 : (n,na) cross section 2034 1451 334 - MT24 : (n,2na) cross section 2034 1451 335 - MT28 : (n,np) cross section 2034 1451 336 - MT32 : (n,nd) cross section 2034 1451 337 - MT41 : (n,2np) cross section 2034 1451 338 - MT51-70 : (n,n') cross section for 1st-20th excited state 2034 1451 339 - MT91 : (n,n') continuum cross section 2034 1451 340 - MT102 : (n,gamma) cross section 2034 1451 341 2034 1451 342 Below 40 keV, resonance parameters are used. 2034 1451 343 2034 1451 344 - MT103 : (n,p) cross section 2034 1451 345 - MT104 : (n,d) cross section 2034 1451 346 - MT105 : (n,t) cross section 2034 1451 347 - MT106 : (n,h) cross section 2034 1451 348 - MT107 : (n,a) cross section 2034 1451 349 - MT108 : (n,2a) cross section 2034 1451 350 - MT111 : (n,2p) cross section 2034 1451 351 - MT112 : (n,pa) cross section 2034 1451 352 - MT600-610: (n,p) cross section for 0th-10th excited state 2034 1451 353 2034 1451 354 Obtained by mapping continuum (n,p) cross section from 2034 1451 355 pre-equilibrium and compound model on discrete states. 2034 1451 356 2034 1451 357 - MT649 : (n,p) continuum cross section 2034 1451 358 - MT650-655: (n,d) cross section for 0th-5th excited state 2034 1451 359 2034 1451 360 Obtained by mapping continuum (n,d) cross section from 2034 1451 361 pre-equilibrium and compound model on discrete states. 2034 1451 362 2034 1451 363 - MT699 : (n,d) continuum cross section 2034 1451 364 - MT700-705: (n,t) cross section for 0th-5th excited state 2034 1451 365 2034 1451 366 Obtained by mapping continuum (n,t) cross section from 2034 1451 367 pre-equilibrium and compound model on discrete states. 2034 1451 368 2034 1451 369 - MT749 : (n,t) continuum cross section 2034 1451 370 - MT750-755: (n,h) cross section for 0th-5th excited state 2034 1451 371 2034 1451 372 Obtained by mapping continuum (n,h) cross section from 2034 1451 373 pre-equilibrium and compound model on discrete states. 2034 1451 374 2034 1451 375 - MT799 : (n,h) continuum cross section 2034 1451 376 - MT800-810: (n,a) cross section for 0th-10th excited state 2034 1451 377 2034 1451 378 Obtained by mapping continuum (n,a) cross section from 2034 1451 379 pre-equilibrium and compound model on discrete states. 2034 1451 380 2034 1451 381 - MT849 : (n,a) continuum cross section 2034 1451 382 2034 1451 383 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 2034 1451 384 2034 1451 385 The versatility of MF6 for the storage of almost any secondary 2034 1451 386 distribution entails that we only use MF4 for the neutron elastic 2034 1451 387 scattering distribution. All data are generated with TALYS. 2034 1451 388 2034 1451 389 - MT2 : Elastic angular distribution 2034 1451 390 2034 1451 391 The flag LTT=3 is used to indicate a switch at 20 MeV from a 2034 1451 392 Legendre representation to a tabulated representation. For 2034 1451 393 incident energies below 20 MeV, the Legendre coefficients are 2034 1451 394 given on a sufficiently precise energy grid. They are a sum of 2034 1451 395 calculated Legendre coefficients for compound nucleus and 2034 1451 396 shape-elastic scattering. For incident energies above 20 MeV, 2034 1451 397 relative angular distributions are tabulated on an angular grid. 2034 1451 398 2034 1451 399 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 2034 1451 400 2034 1451 401 In MF6 we store all secondary energy, angle, and energy-angle 2034 1451 402 distributions, as well as all residual and discrete + continuum 2034 1451 403 photon production cross sections. We thus do not use MF12-15 for 2034 1451 404 the photon production that accompanies each reaction. All data 2034 1451 405 are generated with TALYS. 2034 1451 406 2034 1451 407 - MT5 : (n,anything) yields and energy-angle distributions 2034 1451 408 2034 1451 409 For energies below 20 MeV, MT5 contains the relative yields of 2034 1451 410 the (n,gamma x) reaction, where x may represent neutron, proton, 2034 1451 411 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 2034 1451 412 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 2034 1451 413 section can be recovered. For energies above 20 MeV, MT5 contains 2034 1451 414 the production yields of particles and residual products. It also 2034 1451 415 contains the secondary energy-angle distributions for all 2034 1451 416 particles and photons. First, the yields for neutrons are given 2034 1451 417 for the whole energy range. Next, on a secondary energy grid the 2034 1451 418 relative emission spectra are given together with the parameters 2034 1451 419 for the Kalbach systematics for angular distributions. Inelastic 2034 1451 420 scattering cross sections for discrete states have been broadened 2034 1451 421 and added to the continuum spectra. This procedure is repeated 2034 1451 422 for protons, deuterons, tritons, Helium-3, alpha particles and 2034 1451 423 photons. Finally, the residual production yields are given per 2034 1451 424 final product. All these yields and relative distributions can 2034 1451 425 be multiplied with the cross sections given in MF3/MT5 to get 2034 1451 426 the production cross sections and (double-)differential cross 2034 1451 427 sections. 2034 1451 428 2034 1451 429 - MT16 : (n,2n) energy-angle distr. and photon production 2034 1451 430 2034 1451 431 First, for each type of outgoing particle, the (trivial) integer 2034 1451 432 particle yields are given. Next, on a sufficiently dense incident 2034 1451 433 energy grid the secondary energy-angle distributions are 2034 1451 434 specified by means of the relative emission spectra and the 2034 1451 435 parameters for the Kalbach systematics for angular distributions. 2034 1451 436 Next, the photon yield is tabulated as a function of incident 2034 1451 437 energy. For each incident energy, the photon production is given 2034 1451 438 for all discrete gamma lines present in the final nucleus. A 2034 1451 439 continuum photon distribution is added to this. We assume 2034 1451 440 isotropy for all produced gamma rays. 2034 1451 441 2034 1451 442 For the following MT-numbers, the same procedure as for MT16 is 2034 1451 443 followed: 2034 1451 444 ----- 2034 1451 445 - MT17 : (n,3n) energy-angle distr. and photon production 2034 1451 446 - MT22 : (n,na) energy-angle distr. and photon production 2034 1451 447 - MT24 : (n,2na) energy-angle distr. and photon production 2034 1451 448 - MT28 : (n,np) energy-angle distr. and photon production 2034 1451 449 - MT32 : (n,nd) energy-angle distr. and photon production 2034 1451 450 - MT41 : (n,2np) energy-angle distr. and photon production 2034 1451 451 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 2034 1451 452 - MT102 : (n,gamma) photon production 2034 1451 453 - MT108 : (n,2a) energy-angle distr. and photon production 2034 1451 454 - MT111 : (n,2p) energy-angle distr. and photon production 2034 1451 455 - MT112 : (n,pa) energy-angle distr. and photon production 2034 1451 456 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 2034 1451 457 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 2034 1451 458 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 2034 1451 459 - MT799 : (n,h) continuum energy-angle distr. and photon prod. 2034 1451 460 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 2034 1451 461 ----- 2034 1451 462 2034 1451 463 - MT51 : (n,n') angular distribution and photon production 2034 1451 464 for first excited state 2034 1451 465 2034 1451 466 The angular distribution for inelastic scattering to the first 2034 1451 467 inelastic state is given with Legendre coefficients up to 20 MeV. 2034 1451 468 Next, the exclusive yields for all the discrete gamma rays that 2034 1451 469 originate from this particular level are given. 2034 1451 470 2034 1451 471 For the following MT-numbers, the same procedure as for MT51 is 2034 1451 472 followed: 2034 1451 473 ----- 2034 1451 474 - MT52-70 : (n,n') angular distribution and photon production 2034 1451 475 for 2nd-20th excited state 2034 1451 476 - MT600-610: (n,p) angular distribution and photon production 2034 1451 477 for 0th-10th excited state 2034 1451 478 - MT650-655: (n,d) angular distribution and photon production 2034 1451 479 for 0th-5th excited state 2034 1451 480 - MT700-705: (n,t) angular distribution and photon production 2034 1451 481 for 0th-5th excited state 2034 1451 482 - MT750-755: (n,h) angular distribution and photon production 2034 1451 483 for 0th-5th excited state 2034 1451 484 - MT800-810: (n,a) angular distribution and photon production 2034 1451 485 for 0th-10th excited state 2034 1451 486 ----- 2034 1451 487 2034 1451 488 ***** 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 ****2034 1451 489 2034 1451 490 This file has been checked successfully by the BNL checking 2034 1451 491 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 2034 1451 492 been processed successfully into an MCNP library by the 2034 1451 493 processing code NJOY99.81 [mac00]. 2034 1451 494 2034 1451 495 *********************** R E F E R E N C E S **********************2034 1451 496 2034 1451 497 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 2034 1451 498 (1985). 2034 1451 499 [ben02] S. Benck, I. Slypen, J.-P. Meulders, V. Corcalciuc, and 2034 1451 500 M.B. Chadwick, Nucl. Sci. Eng. 140, 86 (2002). 2034 1451 501 [ben02b] S. Benck, I. Slypen, J.-P. Meulders, and V. Corcalciuc, 2034 1451 502 Nucl. Sci. Eng. 141, 1 (2002). 2034 1451 503 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 2034 1451 504 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 2034 1451 505 (1952). 2034 1451 506 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 2034 1451 507 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 2034 1451 508 Series on Neutron Physics and Nuclear Data in Science and 2034 1451 509 Technology, eds. A. Michaudon et al., p. 62 (1984). 2034 1451 510 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 2034 1451 511 (1965). 2034 1451 512 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 2034 1451 513 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 2034 1451 514 Nucl. Phys. 21, no. 3, 255 (1975). 2034 1451 515 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 2034 1451 516 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 2034 1451 517 code with direct reactions, Duke University 2001, 2034 1451 518 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 2034 1451 519 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 2034 1451 520 (2003). 2034 1451 521 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 2034 1451 522 (2004). 2034 1451 523 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 2034 1451 524 (2004). 2034 1451 525 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 2034 1451 526 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 2034 1451 527 pointwise and multigroup neutron and photon cross 2034 1451 528 sections from ENDF/B Data, RSIC PSR-480 (2000). 2034 1451 529 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 2034 1451 530 Preequilibrium Reactions, Semmering, Austria, 2034 1451 531 February 10-12 1988, (OECD, Paris 1988), p. 103. 2034 1451 532 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 2034 1451 533 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 2034 1451 534 Neutron Cross Sections, Vol. I, Neutron Resonance 2034 1451 535 Parameters and Thermal Cross Sections (Academic Press, 2034 1451 536 1981). 2034 1451 537 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 2034 1451 538 No. CEA-N-2772, 1994. 2034 1451 539 [rip98] Handbook for calculations of nuclear reaction data: 2034 1451 540 Reference Input Parameter Library, IAEA-TECDOC-1034 2034 1451 541 (1998). 2034 1451 542 [sly03] I. Slypen, N. Nica, A.J. Koning, E. Raeymackers, 2034 1451 543 S. Benck, J.P. Meulders, and V. Corcalciuc, 2034 1451 544 Journ. Phys. G, November 2003 (2003). 2034 1451 545 2034 1451 546 ************************* C O N T E N T S ************************2034 1451 547 2034 1451 548 ***************** Program LINEAR (VERSION 2007-1) ***************2034 1451 549 For All Data Greater than 1.0000E-10 barns in Absolute Value 2034 1451 550 Data Linearized Using Energy Dependent Uncertainty 2034 1451 551 Energy Accuracy 2034 1451 552 (eV) (per-cent) 2034 1451 553 ----------- ----------- 2034 1451 554 0.0 .010000000 2034 1451 555 1.00000000 .010000000 2034 1451 556 10.0000000 .100000000 2034 1451 557 2.00000E+9 .100000000 2034 1451 558 ***************** Program RECENT (VERSION 2007-1) ***************2034 1451 559 for All Data Greater than 1.0000E-10 barns in Absolute Value 2034 1451 560 Data Linearized Using Energy Dependent Uncertainty 2034 1451 561 Energy Accuracy 2034 1451 562 (eV) (per-cent) 2034 1451 563 ----------- ----------- 2034 1451 564 0.0 .010000000 2034 1451 565 1.00000000 .010000000 2034 1451 566 10.0000000 .100000000 2034 1451 567 2.00000E+9 .100000000 2034 1451 568 ***************** Program SIGMA1 (VERSION 2007-1) ***************2034 1451 569 Data Doppler Broadened to 1800.00000 Kelvin 2034 1451 570 for All Data Greater than 1.0000E-10 barns in Absolute Value 2034 1451 571 Data Linearized Using Energy Dependent Uncertainty 2034 1451 572 Energy Accuracy 2034 1451 573 (eV) (per-cent) 2034 1451 574 ----------- ----------- 2034 1451 575 0.0 .010000000 2034 1451 576 1.00000000 .010000000 2034 1451 577 10.0000000 .100000000 2034 1451 578 2.00000E+9 .100000000 2034 1451 579 ***************** Program FIXUP (Version 2007-1) ****************2034 1451 580 Corrected ZA/AWR in All Sections-----------------------------Yes 2034 1451 581 Corrected Thresholds-----------------------------------------No 2034 1451 582 Extended Cross Sections to 20 MeV----------------------------No 2034 1451 583 Allow Cross Section Deletion---------------------------------Yes 2034 1451 584 Allow Cross Section Reconstruction---------------------------Yes 2034 1451 585 Make All Cross Sections Non-Negative-------------------------Yes 2034 1451 586 Delete Energies Not in Ascending Order-----------------------Yes 2034 1451 587 Deleted Duplicate Points-------------------------------------Yes 2034 1451 588 Check for Ascending MAT/MF/MT Order--------------------------Yes 2034 1451 589 Check for Legal MF/MT Numbers--------------------------------Yes 2034 1451 590 Allow Creation of Missing Sections---------------------------No 2034 1451 591 Allow Insertion of Energy Points-----------------------------No 2034 1451 592 Create Uniform Energy Grid-----------------------------------No 2034 1451 593 Delete Section if Cross Section =0 at All Energies-----------Yes 2034 1451 594 **************** Program DICTIN (VERSION 2007-1) ****************2034 1451 595 1 451 762 12034 1451 596 2 151 32 12034 1451 597 3 1 2465 12034 1451 598 3 2 716 12034 1451 599 3 4 31 12034 1451 600 3 5 27 12034 1451 601 3 16 10 12034 1451 602 3 17 5 12034 1451 603 3 22 10 12034 1451 604 3 24 6 12034 1451 605 3 28 9 12034 1451 606 3 32 6 12034 1451 607 3 41 5 12034 1451 608 3 51 23 12034 1451 609 3 52 23 12034 1451 610 3 53 21 12034 1451 611 3 54 20 12034 1451 612 3 55 17 12034 1451 613 3 56 17 12034 1451 614 3 57 18 12034 1451 615 3 58 20 12034 1451 616 3 59 17 12034 1451 617 3 60 19 12034 1451 618 3 61 18 12034 1451 619 3 62 20 12034 1451 620 3 63 19 12034 1451 621 3 64 19 12034 1451 622 3 65 19 12034 1451 623 3 66 19 12034 1451 624 3 67 19 12034 1451 625 3 68 18 12034 1451 626 3 69 19 12034 1451 627 3 70 18 12034 1451 628 3 91 15 12034 1451 629 3 102 1198 12034 1451 630 3 103 23 12034 1451 631 3 104 11 12034 1451 632 3 105 11 12034 1451 633 3 106 7 12034 1451 634 3 107 800 12034 1451 635 3 108 12 12034 1451 636 3 111 9 12034 1451 637 3 112 8 12034 1451 638 3 600 17 12034 1451 639 3 601 16 12034 1451 640 3 602 18 12034 1451 641 3 603 17 12034 1451 642 3 604 17 12034 1451 643 3 605 17 12034 1451 644 3 606 18 12034 1451 645 3 607 17 12034 1451 646 3 608 18 12034 1451 647 3 609 18 12034 1451 648 3 610 18 12034 1451 649 3 649 16 12034 1451 650 3 650 10 12034 1451 651 3 651 10 12034 1451 652 3 652 10 12034 1451 653 3 653 10 12034 1451 654 3 654 10 12034 1451 655 3 655 10 12034 1451 656 3 699 9 12034 1451 657 3 700 9 12034 1451 658 3 701 9 12034 1451 659 3 702 8 12034 1451 660 3 703 8 12034 1451 661 3 704 8 12034 1451 662 3 705 8 12034 1451 663 3 749 8 12034 1451 664 3 750 7 12034 1451 665 3 751 7 12034 1451 666 3 752 7 12034 1451 667 3 753 7 12034 1451 668 3 754 6 12034 1451 669 3 755 6 12034 1451 670 3 799 6 12034 1451 671 3 800 259 12034 1451 672 3 801 212 12034 1451 673 3 802 184 12034 1451 674 3 803 67 12034 1451 675 3 804 64 12034 1451 676 3 805 62 12034 1451 677 3 806 66 12034 1451 678 3 807 62 12034 1451 679 3 808 66 12034 1451 680 3 809 60 12034 1451 681 3 810 59 12034 1451 682 3 849 67 12034 1451 683 4 2 1223 12034 1451 684 6 5 8861 12034 1451 685 6 16 624 12034 1451 686 6 17 40 12034 1451 687 6 22 713 12034 1451 688 6 24 215 12034 1451 689 6 28 449 12034 1451 690 6 32 170 12034 1451 691 6 41 77 12034 1451 692 6 51 139 12034 1451 693 6 52 128 12034 1451 694 6 53 125 12034 1451 695 6 54 124 12034 1451 696 6 55 130 12034 1451 697 6 56 135 12034 1451 698 6 57 129 12034 1451 699 6 58 117 12034 1451 700 6 59 134 12034 1451 701 6 60 122 12034 1451 702 6 61 126 12034 1451 703 6 62 114 12034 1451 704 6 63 120 12034 1451 705 6 64 122 12034 1451 706 6 65 114 12034 1451 707 6 66 129 12034 1451 708 6 67 114 12034 1451 709 6 68 112 12034 1451 710 6 69 116 12034 1451 711 6 70 118 12034 1451 712 6 91 1374 12034 1451 713 6 102 1195 12034 1451 714 6 108 591 12034 1451 715 6 111 330 12034 1451 716 6 112 361 12034 1451 717 6 600 68 12034 1451 718 6 601 67 12034 1451 719 6 602 75 12034 1451 720 6 603 73 12034 1451 721 6 604 73 12034 1451 722 6 605 72 12034 1451 723 6 606 73 12034 1451 724 6 607 75 12034 1451 725 6 608 75 12034 1451 726 6 609 73 12034 1451 727 6 610 74 12034 1451 728 6 649 1001 12034 1451 729 6 650 41 12034 1451 730 6 651 50 12034 1451 731 6 652 50 12034 1451 732 6 653 52 12034 1451 733 6 654 46 12034 1451 734 6 655 49 12034 1451 735 6 699 355 12034 1451 736 6 700 37 12034 1451 737 6 701 40 12034 1451 738 6 702 42 12034 1451 739 6 703 42 12034 1451 740 6 704 44 12034 1451 741 6 705 36 12034 1451 742 6 749 268 12034 1451 743 6 750 33 12034 1451 744 6 751 37 12034 1451 745 6 752 37 12034 1451 746 6 753 39 12034 1451 747 6 754 39 12034 1451 748 6 755 39 12034 1451 749 6 799 148 12034 1451 750 6 800 70 12034 1451 751 6 801 86 12034 1451 752 6 802 79 12034 1451 753 6 803 76 12034 1451 754 6 804 75 12034 1451 755 6 805 74 12034 1451 756 6 806 79 12034 1451 757 6 807 77 12034 1451 758 6 808 79 12034 1451 759 6 809 77 12034 1451 760 6 810 76 12034 1451 761 6 849 1028 12034 1451 762 2034 1 0 763 2034 0 0 764 20043.0000 42.5897300 0 0 1 02034 2151 765 20043.0000 1.00000000 0 0 1 02034 2151 766 1.00000E-5 40000.0000 1 2 0 02034 2151 767 3.50000000 .360000000 0 0 2 02034 2151 768 42.2238000 0.0 0 0 132 222034 2151 769 -1085.00000 3.00000000 82.9400000 80.0000000 2.94000000 0.0 2034 2151 770 3330.00000 4.00000000 1.17000000 .500000000 .670000000 0.0 2034 2151 771 4324.00000 4.00000000 50.5200000 50.0000000 .520000000 0.0 2034 2151 772 5189.00000 4.00000000 100.870000 100.000000 .870000000 0.0 2034 2151 773 6976.00000 3.00000000 10.7200000 10.0000000 .720000000 0.0 2034 2151 774 8823.00000 4.00000000 249.680000 249.000000 .680000000 0.0 2034 2151 775 10490.0000 4.00000000 1.69000000 1.00000000 .690000000 0.0 2034 2151 776 13950.0000 4.00000000 303.000000 302.000000 1.00000000 0.0 2034 2151 777 14350.0000 3.00000000 31.1400000 30.3000000 .840000000 0.0 2034 2151 778 16640.0000 3.00000000 2.76000000 2.00000000 .760000000 0.0 2034 2151 779 19270.0000 4.00000000 280.650000 280.000000 .650000000 0.0 2034 2151 780 20290.0000 3.00000000 3.46000000 2.70000000 .760000000 0.0 2034 2151 781 21410.0000 3.00000000 48.7900000 48.0000000 .790000000 0.0 2034 2151 782 22930.0000 4.00000000 302.570000 302.000000 .570000000 0.0 2034 2151 783 24350.0000 3.00000000 10.2200000 9.40000000 .820000000 0.0 2034 2151 784 27050.0000 4.00000000 650.570000 650.000000 .570000000 0.0 2034 2151 785 27340.0000 3.00000000 2.85000000 2.00000000 .850000000 0.0 2034 2151 786 29670.0000 4.00000000 200.660000 200.000000 .660000000 0.0 2034 2151 787 29800.0000 4.00000000 9.95000000 9.20000000 .750000000 0.0 2034 2151 788 31080.0000 4.00000000 160.660000 160.000000 .660000000 0.0 2034 2151 789 31500.0000 4.00000000 6.52000000 5.80000000 .720000000 0.0 2034 2151 790 37150.0000 4.00000000 250.100000 249.000000 1.10000000 0.0 2034 2151 791 42.2238000 0.0 1 0 24 42034 2151 792 1480.00000 3.00000000 150.130000 149.000000 1.13000000 0.0 2034 2151 793 21940.0000 3.00000000 6.16000000 5.70000000 .460000000 0.0 2034 2151 794 24180.0000 2.00000000 4.62000000 3.70000000 .920000000 0.0 2034 2151 795 24700.0000 2.00000000 4.14000000 3.40000000 .740000000 0.0 2034 2151 796 2034 2 0 797 2034 0 0 798 20043.0000 42.5897300 0 0 0 02034 3 1 799 0.0 0.0 0 0 1 73842034 3 1 800 7384 2 2034 3 1 801 1.00000E-5 676.327750 1.02999E-5 666.413400 1.03230E-5 665.6784782034 3 1 802 1.05195E-5 659.465440 1.06087E-5 656.645069 1.06324E-5 655.9238902034 3 1 803 1.09269E-5 647.015853 1.09513E-5 646.305503 1.10660E-5 642.9861032034 3 1 804 1.12544E-5 637.533837 1.12796E-5 636.832147 1.15920E-5 628.1852312034 3 1 805 1.16179E-5 627.495254 1.16409E-5 626.886178 1.19395E-5 618.9787862034 3 1 806 1.19662E-5 618.298316 1.22457E-5 611.217389 1.22976E-5 609.9025412034 3 1 807 1.23251E-5 609.231998 1.26662E-5 600.964425 1.26946E-5 600.3021142034 3 1 808 1.28819E-5 595.960011 1.30462E-5 592.151109 1.30753E-5 591.5017602034 3 1 809 1.34372E-5 583.474349 1.34673E-5 582.831913 1.35511E-5 581.0539592034 3 1 810 1.38403E-5 574.918107 1.38712E-5 574.287194 1.42552E-5 566.4933472034 3 1 811 1.42870E-5 565.872087 1.46827E-5 558.187626 1.47156E-5 557.5728602034 3 1 812 1.49957E-5 552.370070 1.51229E-5 550.007361 1.51567E-5 549.4030642034 3 1 813 1.55765E-5 541.942154 1.56113E-5 541.347012 1.57748E-5 538.5675602034 3 1 814 1.60434E-5 534.001438 1.60793E-5 533.414071 1.65246E-5 526.1715772034 3 1 815 1.65615E-5 525.593994 1.65943E-5 525.083648 1.70199E-5 518.4616062034 3 1 816 1.70580E-5 517.891170 1.74564E-5 511.961744 1.75304E-5 510.8603952034 3 1 817 1.75696E-5 510.298873 1.80559E-5 503.374287 1.80963E-5 502.8207192034 3 1 818 1.83633E-5 499.184011 1.85975E-5 495.994059 1.86391E-5 495.4487502034 3 1 819 1.91550E-5 488.726317 1.91978E-5 488.189575 1.93174E-5 486.6986412034 3 1 820 1.97295E-5 481.561401 1.97736E-5 481.032318 2.03209E-5 474.5052222034 3 1 821 2.03664E-5 473.983073 2.09305E-5 467.548025 2.09773E-5 467.0342312034 3 1 822 2.13767E-5 462.675543 2.15579E-5 460.698091 2.16061E-5 460.1918302034 3 1 823 2.22045E-5 453.943944 2.22541E-5 453.445591 2.24872E-5 451.1174642034 3 1 824 2.28701E-5 447.293184 2.29212E-5 446.802003 2.35561E-5 440.7355992034 3 1 825 2.36087E-5 440.251948 2.36555E-5 439.824182 2.42622E-5 434.2787652034 3 1 826 2.43164E-5 433.801978 2.48844E-5 428.835164 2.49899E-5 427.9126312034 3 1 827 2.50458E-5 427.442225 2.57390E-5 421.643561 2.57966E-5 421.1798722034 3 1 828 2.61772E-5 418.134160 2.65110E-5 415.462960 2.65703E-5 415.0062612034 3 1 829 2.73057E-5 409.376313 2.73668E-5 408.926185 2.75372E-5 407.6782932034 3 1 830 2.81247E-5 403.375852 2.81876E-5 402.932533 2.89678E-5 397.4664112034 3 1 831 2.90326E-5 397.029519 2.98367E-5 391.640365 2.99034E-5 391.2101652034 3 1 832 3.04728E-5 387.559516 3.07311E-5 385.903453 3.07998E-5 385.4795442034 3 1 833 3.16528E-5 380.247456 3.17236E-5 379.829557 3.20559E-5 377.8798282034 3 1 834 3.26017E-5 374.677414 3.26746E-5 374.265751 3.35795E-5 369.1861462034 3 1 835 3.36546E-5 368.780455 3.37213E-5 368.422284 3.45861E-5 363.7784112034 3 1 836 3.46634E-5 363.378948 3.54731E-5 359.219589 3.56235E-5 358.4469972034 3 1 837 3.57032E-5 358.052977 3.66913E-5 353.197043 3.67734E-5 352.8087862034 3 1 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1848 16664.0293 3.78071171 16664.7960 3.65735532 16665.8178 3.498405572034 3 1 1849 16666.3287 3.42082063 16666.4137 3.40819162 16667.2998 3.302036602034 3 1 1850 16668.2202 3.19529662 16668.7742 3.13288936 16669.1406 3.098880762034 3 1 1851 16670.0610 3.01615886 16670.3478 2.99112319 16670.9813 2.947081662034 3 1 1852 16671.9017 2.88516491 16672.8220 2.82504403 16673.3205 2.793309922034 3 1 1853 16673.7424 2.77283276 16674.6627 2.72947423 16675.5064 2.690741122034 3 1 1854 16675.5831 2.68816023 16676.5035 2.65812376 16677.5772 2.624064792034 3 1 1855 16678.1908 2.60499998 16678.8044 2.58618395 16679.4179 2.567590592034 3 1 1856 16679.8781 2.55385262 16680.6451 2.53744828 16681.8722 2.511807232034 3 1 1857 16682.7925 2.49292796 16683.0994 2.48811434 16684.0197 2.473922832034 3 1 1858 16685.5537 2.45062878 16687.3944 2.42313599 16687.4711 2.422352772034 3 1 1859 16688.6216 2.41079447 16690.9225 2.38799073 16693.2234 2.365494072034 3 1 1860 16694.7573 2.35062331 16696.2912 2.33583304 16697.5183 2.324058022034 3 1 1861 16698.0169 2.32110346 16701.4683 2.30085468 16703.1939 2.290812992034 3 1 1862 16705.4948 2.27749233 16707.7957 2.26423849 16712.3975 2.237891782034 3 1 1863 16714.6984 2.22480170 16716.9994 2.21674387 16722.3682 2.198099192034 3 1 1864 16728.5039 2.17694388 16734.6397 2.15590848 16739.2414 2.140192602034 3 1 1865 16747.5618 2.12258365 16755.8821 2.10507035 16761.4290 2.093434652034 3 1 1866 16772.5228 2.07023507 16783.6165 2.04711364 16786.2202 2.043285642034 3 1 1867 16801.8424 2.02040474 16820.0682 1.99378707 16825.2755 1.986198712034 3 1 1868 16840.8977 1.96812930 16856.5197 1.95009171 16888.8602 1.912806522034 3 1 1869 16910.7860 1.89311957 16954.6375 1.85378951 16994.1040 1.818423842034 3 1 1870 17059.8813 1.75951962 17112.5032 1.72196730 17182.6657 1.671918192034 3 1 1871 17305.4500 1.58437387 17435.2507 1.50864196 17529.9700 1.453411882034 3 1 1872 17558.0350 1.43978045 17642.2300 1.39891675 17670.2950 1.387597522034 3 1 1873 17754.4900 1.35367578 17782.5550 1.34497994 17838.6850 1.327613732034 3 1 1874 17866.7500 1.32165067 17922.8800 1.30974766 18007.0750 1.302878142034 3 1 1875 18021.1075 1.30384679 18070.2213 1.30727758 18105.3025 1.315462392034 3 1 1876 18124.2847 1.31990459 18133.3675 1.32203014 18147.4000 1.328824722034 3 1 1877 18189.4975 1.34923245 18217.5625 1.36285598 18231.5950 1.373543332034 3 1 1878 18259.6600 1.39494882 18301.7575 1.43690785 18305.2657 1.441678452034 3 1 1879 18364.9038 1.52287395 18368.4119 1.52906761 18396.4769 1.578656902034 3 1 1880 18399.9850 1.58601118 18428.0500 1.64487739 18431.5582 1.653589602034 3 1 1881 18459.6232 1.72332211 18463.1313 1.73421127 18494.7044 1.832261412034 3 1 1882 18512.2450 1.88677479 18547.3263 2.02677511 18554.3425 2.054798762034 3 1 1883 18589.4238 2.23102107 18596.4400 2.26629179 18617.4888 2.391841602034 3 1 1884 18631.5213 2.48593174 18638.5375 2.53301013 18659.5863 2.692038242034 3 1 1885 18673.6188 2.81164309 18680.6350 2.87147609 18694.6675 3.011156932034 3 1 1886 18712.2082 3.18582003 18715.7163 3.22804364 18736.7650 3.481470662034 3 1 1887 18743.7813 3.56599313 18759.5679 3.78578686 18773.6004 4.001612202034 3 1 1888 18775.3544 4.02860613 18791.1410 4.29747906 18805.1735 4.562496052034 3 1 1889 18806.9275 4.59564161 18822.7141 4.92711358 18836.7466 5.255221482034 3 1 1890 18838.5007 5.29625376 18852.5332 5.66262562 18854.2872 5.708434522034 3 1 1891 18868.3197 6.13481337 18880.5982 6.50800817 18884.1063 6.634656772034 3 1 1892 18899.8929 7.20474167 18901.6469 7.26810122 18913.9254 7.788252552034 3 1 1893 18922.6957 8.15994354 18933.2200 8.66500608 18940.2363 9.035340342034 3 1 1894 18946.3756 9.35950940 18953.3918 9.78752057 18966.5472 10.59025032034 3 1 1895 18968.3013 10.6973150 18979.7027 11.5181443 18985.8419 11.96025142034 3 1 1896 18992.8582 12.5480010 19003.3825 13.4298514 19006.0137 13.68061192034 3 1 1897 19015.2225 14.5584712 19019.1691 14.9922895 19032.3246 16.43874962034 3 1 1898 19034.9557 16.7281275 19045.4800 18.0881374 19050.7423 18.76834482034 3 1 1899 19057.3200 19.7516340 19066.5288 21.1285793 19069.1599 21.57264472034 3 1 1900 19077.0532 22.9051597 19080.9999 23.6393078 19087.5776 24.86315372034 3 1 1901 19092.8398 25.9411170 19098.1020 27.0193317 19104.6797 28.50096442034 3 1 1902 19108.6263 29.3901371 19116.1688 31.2537648 19119.1507 31.99069532034 3 1 1903 19127.4826 34.2363361 19129.1489 34.6855699 19148.6189 40.58544452034 3 1 1904 19150.1099 41.1058128 19165.1948 46.3717014 19171.3340 48.51509142034 3 1 1905 19205.8014 61.7058956 19218.0798 66.4041412 19224.3944 68.81982992034 3 1 1906 19228.6042 70.2113293 19234.9188 72.2975294 19245.1274 75.17911462034 3 1 1907 19246.1448 75.4073629 19254.7046 77.3256901 19260.1773 78.19494882034 3 1 1908 19264.2818 78.8460753 19269.1581 79.2889163 19272.9469 79.63238672034 3 1 1909 19278.1740 79.7793925 19280.5244 79.8451277 19287.0145 79.46752742034 3 1 1910 19295.7848 78.9559377 19296.7495 78.8194908 19304.3797 77.73921252034 3 1 1911 19306.4845 77.3213357 19314.9040 75.6483758 19325.4284 73.01853302034 3 1 1912 19327.5333 72.4025671 19339.4609 68.9105667 19370.3324 58.86401822034 3 1 1913 19386.1190 53.7271384 19386.2067 53.7003448 19398.0466 50.08372542034 3 1 1914 19401.2039 49.1194605 19409.8866 46.6671348 19416.2889 44.85922722034 3 1 1915 19421.7265 43.4999051 19433.5665 40.5407066 19440.1442 38.89706402034 3 1 1916 19445.4063 37.7422243 19453.2997 36.0102900 19457.2463 35.22428482034 3 1 1917 19466.4551 33.3906694 19469.0862 32.9161061 19479.6106 31.01828102034 3 1 1918 19480.9261 30.8035879 19492.7660 28.8717219 19506.3600 26.86820542034 3 1 1919 19513.8147 25.8797156 19520.8310 24.9497015 19534.8635 23.27973662034 3 1 1920 19535.3021 23.2275579 19549.7731 21.6797918 19555.9122 21.08889392034 3 1 1921 19564.2441 20.2872140 19576.9610 19.2256780 19590.9935 18.05470662034 3 1 1922 19598.8868 17.5102104 19621.6896 15.9377829 19623.4437 15.83454432034 3 1 1923 19640.1073 14.8541493 19648.0006 14.4394655 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4.21470405 20183.3185 4.16099335 20192.1985 4.092055412034 3 1 1937 20196.5836 4.05807809 20204.2576 3.99875999 20210.8354 3.948113092034 3 1 1938 20212.7224 3.93363755 20214.1242 3.92086227 20219.6057 3.871095802034 3 1 1939 20223.8614 3.83267739 20228.0739 3.79491754 20231.7599 3.762192762034 3 1 1940 20233.3396 3.74829304 20234.9194 3.73449099 20236.4990 3.720812822034 3 1 1941 20237.9691 3.70822042 20239.2199 3.69763706 20241.3046 3.680346832034 3 1 1942 20242.9724 3.66693467 20244.6401 3.65403880 20245.4740 3.647838642034 3 1 1943 20246.9333 3.63749477 20248.1841 3.62926490 20248.7052 3.626145822034 3 1 1944 20249.4349 3.62544473 20250.0603 3.62517796 20251.1547 3.625346342034 3 1 1945 20252.1971 3.62638462 20253.0050 3.62797812 20253.2394 3.630439822034 3 1 1946 20254.2818 3.64258613 20255.3241 3.65613419 20255.5848 3.659930602034 3 1 1947 20256.3665 3.68309632 20257.4088 3.71586509 20258.4512 3.750787972034 3 1 1948 20259.3372 3.78248852 20259.4414 3.78818851 20260.0668 3.823650102034 3 1 1949 20260.6923 3.86016534 20260.9007 3.87270278 20261.3177 3.904027722034 3 1 1950 20261.9431 3.95218943 20262.4643 3.99336664 20262.5684 4.004146922034 3 1 1951 20263.1939 4.07023430 20263.8193 4.13768539 20265.0700 4.276928092034 3 1 1952 20265.0701 4.27694290 20266.2166 4.45210353 20267.4674 4.649353072034 3 1 1953 20267.6238 4.67463374 20268.0928 4.76718133 20269.0309 4.955398542034 3 1 1954 20269.4479 5.04070414 20269.9690 5.16205355 20270.9071 5.384099482034 3 1 1955 20272.3144 5.75937487 20272.7834 5.90064763 20274.1906 6.332039472034 3 1 1956 20275.2850 6.67221274 20280.7878 8.60348879 20282.1650 9.076983522034 3 1 1957 20282.2150 9.09417400 20282.3880 9.15197454 20284.1180 9.694805282034 3 1 1958 20284.4640 9.79262490 20285.6750 10.1206777 20285.8480 10.16603772034 3 1 1959 20286.6265 10.3405504 20287.3185 10.4891095 20287.8375 10.57871222034 3 1 1960 20288.8063 10.7359368 20288.8582 10.7419694 20289.9896 10.86177102034 3 1 1961 20290.2249 10.8841136 20291.1072 10.9138605 20292.4220 10.93915112034 3 1 1962 20293.0275 10.9127343 20293.8925 10.8597222 20295.1035 10.72690492034 3 1 1963 20295.3630 10.6943533 20297.2660 10.3419739 20297.9580 10.20690682034 3 1 1964 20298.5635 10.0566441 20299.7745 9.74889093 20300.2070 9.624117022034 3 1 1965 20302.1100 9.06646908 20305.0510 8.14245705 20306.3485 7.738655212034 3 1 1966 20307.6460 7.33947967 20308.0137 7.22785258 20308.7705 7.017869892034 3 1 1967 20310.4573 6.55892992 20311.3007 6.33382502 20311.5818 6.259796892034 3 1 1968 20312.1440 6.12965556 20313.5172 5.81822242 20313.5280 5.816116352034 3 1 1969 20314.2200 5.68415265 20314.9120 5.55412179 20315.6040 5.425967972034 3 1 1970 20316.2960 5.29962548 20316.5664 5.25117980 20317.5070 5.117131142034 3 1 1971 20318.6532 4.95828443 20319.6155 4.82802225 20319.6263 4.826896252034 3 1 1972 20320.5994 4.72805274 20321.5725 4.63157003 20322.5457 4.537194082034 3 1 1973 20322.7619 4.51664631 20323.5188 4.46427817 20324.4919 4.398613012034 3 1 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