82-Pb-206 ENDF/B-VII.1 Processed by Red Cullen using PREPRO2012 7100 0 0 0 82206.0000 204.205000 2 0 0 18231 1451 1 0.0 0.0 0 0 0 68231 1451 2 1.00000000 200000000. 1 0 10 78231 1451 3 1200.00000 0.0 1 0 680 1718231 1451 4 82-Pb-206 NRG EVAL-DEC04 A.J. Koning 8231 1451 5 NRG-2004 DIST-DEC06 REV1-MAY05 20111222 8231 1451 6 ----ENDF/B-VII.1 MATERIAL 8231 REVISION 1 8231 1451 7 -----INCIDENT NEUTRON DATA 8231 1451 8 ------ENDF-6 FORMAT 8231 1451 9 8231 1451 10 ============================================================== 8231 1451 11 Covariances - BNL, July, 2011: Covariances were adopted from 8231 1451 12 COMMARA-2.0, where BNL performed a new evaluation of covariances 8231 1451 13 for a set of four Pb isotopes in the full energy range in 2010. 8231 1451 14 The thermal and resolved resonance region made use of the 8231 1451 15 covariance formalism based on kernel approximation along with 8231 1451 16 data in the Atlas of Neutron Resonances. We note that the 8231 1451 17 resonance region for Pb isotopes extends to very high energies. 8231 1451 18 Elastic scattering uncertainty in the resonance region was 8231 1451 19 largely determined by potential scattering contribution via the 8231 1451 20 uncertainty of the scattering radius R'. 8231 1451 21 8231 1451 22 In the fast neutron region up to 20 MeV covariance estimates were 8231 1451 23 produced using the nuclear reaction code EMPIRE and the Bayesian 8231 1451 24 code KALMAN. The KALMAN code along with selected experimental 8231 1451 25 data was used to determine the correlation matrix of the model 8231 1451 26 parameters. Furthermore, additional parameters scaling total and 8231 1451 27 absorption cross sections were included to prevent the 8231 1451 28 unrealistic drop in the cross-section uncertainties and, in some 8231 1451 29 instances, to cover spread of the experimental data. For all 8231 1451 30 Pb isotopes, the elastic cross-section uncertainties were 8231 1451 31 computed as difference of total and absorption reaction channel. 8231 1451 32 8231 1451 33 ***************************** ENDF/B-VII *************************8231 1451 34 ** **8231 1451 35 ** Original data taken from: JEFF-3.1 **8231 1451 36 ** **8231 1451 37 ******************************************************************8231 1451 38 8231 1451 39 NRG-2004: n + Pb-206 8231 1451 40 8231 1451 41 Author: A.J. Koning, NRG Petten 8231 1451 42 8231 1451 43 ************** G E N E R A L I N F O R M A T I O N *************8231 1451 44 8231 1451 45 This evaluated data file is based primarily on a theoretical 8231 1451 46 analysis with the nuclear model code TALYS [kon04], version 0.56. 8231 1451 47 The nuclear model parameters of TALYS have been adjusted to 8231 1451 48 reproduce the existing experimental data. The resulting data file 8231 1451 49 provides a complete representation of nuclear data needed for 8231 1451 50 transport, damage, heating, radioactivity, and shielding 8231 1451 51 applications over the incident neutron energy range from 8231 1451 52 1.0E-11 to 200 MeV. 8231 1451 53 8231 1451 54 This file is part of a larger collection of isotopic evaluations, 8231 1451 55 all created by running TALYS with input parameters that do not or 8231 1451 56 slightly deviate from the default values. The mutual quality of 8231 1451 57 these isotopic evaluations is thus relatively consistent. 8231 1451 58 The same set of nuclear models is used and, equally important, 8231 1451 59 the same ENDF-6 formatting procedures for each isotope. We have 8231 1451 60 intended to make this evaluation complete in its description of 8231 1451 61 reaction channels, and use a compact method to store the data. 8231 1451 62 8231 1451 63 For certain reactions and energy ranges TALYS may not be used. 8231 1451 64 This is the case when TALYS is not appropriate, such as for the 8231 1451 65 description of resonances, or when the directly available 8231 1451 66 experimental data is of better quality, as for e.g. low-energy 8231 1451 67 total cross sections. In these cases, we have adopted the best 8231 1451 68 possible data from an existing library, or directly from unfiled 8231 1451 69 experimental data. All transport data for particles, photons and 8231 1451 70 residual nuclides are filed using a combination of MF1,2,3,4 and 8231 1451 71 MF6. This includes cross sections, angular distributions, 8231 1451 72 double-differential spectra, discrete and continuum photon 8231 1451 73 production cross sections, and residual production (activation) 8231 1451 74 cross sections. Moreover, isomeric production data are stored in 8231 1451 75 MF8 and MF10. This evaluation can thus be used as both transport 8231 1451 76 and activation library. The data file has been created 8231 1451 77 automatically using the ENDF-6 format generator TEFAL. 8231 1451 78 8231 1451 79 ##### ORIGIN 8231 1451 80 8231 1451 81 Data < 200 MeV : New evaluation NRG Petten 8231 1451 82 8231 1451 83 Resonance parameters (MF2/MT151): ENDF/B-VI.8 for E < 900 keV 8231 1451 84 Total cross sections (MF3/MT1) : ENDF/B-VI.8 for E < 6.0 MeV 8231 1451 85 All other data : Produced with TALYS code 8231 1451 86 8231 1451 87 *************************** T H E O R Y **************************8231 1451 88 8231 1451 89 TALYS is a computer code system for the prediction and analysis 8231 1451 90 of nuclear reactions. TALYS simulates reactions that involve 8231 1451 91 neutrons, gamma-rays, protons, deuterons, tritons, helions and 8231 1451 92 alpha-particles, in the 1 keV - 200 MeV energy range and for 8231 1451 93 target nuclides of mass 12 and heavier. This is achieved by 8231 1451 94 implementing a suite of nuclear reaction models into a single 8231 1451 95 code system. It enables to evaluate nuclear reactions from 8231 1451 96 the unresolved resonance region up to intermediate energies. This 8231 1451 97 evaluation is based on a theoretical analysis that utilizes the 8231 1451 98 optical model, compound nucleus statistical theory, direct 8231 1451 99 reactions and pre-equilibrium processes, in combination with 8231 1451 100 databases and models for nuclear structure. For Pb-206, the 8231 1451 101 following output of TALYS is stored in this data file: 8231 1451 102 8231 1451 103 - Total, elastic and non-elastic cross sections 8231 1451 104 - Elastic scattering angular distributions 8231 1451 105 - Inelastic cross sections to discrete states 8231 1451 106 - Inelastic scattering angular distributions to discrete states 8231 1451 107 - Exclusive channel cross sections, e.g. (n,g), (n,2n), (n,np),.. 8231 1451 108 - Exclusive channel energy spectra 8231 1451 109 - Exclusive channel double-differential spectra 8231 1451 110 - Exclusive gamma production for discrete states and continuum 8231 1451 111 - Isomeric and ground state cross sections 8231 1451 112 - Residual production cross sections 8231 1451 113 - Total particle cross sections, e.g. (n,xn), (n,xp),.. 8231 1451 114 - Total particle energy spectra 8231 1451 115 - Total particle double-differential spectra 8231 1451 116 8231 1451 117 Here follows a short description of the used nuclear models: 8231 1451 118 8231 1451 119 ##### OPTICAL MODEL 8231 1451 120 8231 1451 121 All optical model calculations are performed by ECIS-97 [ray94], 8231 1451 122 in TALYS used as a subroutine. The default optical model 8231 1451 123 potentials (OMP) used are the local and global parameterizations 8231 1451 124 of Koning and Delaroche [kon03]. These are phenomenological OMPs 8231 1451 125 for neutrons and protons which in principle are valid over the 8231 1451 126 1 keV - 200 MeV energy range, though the low energy boundary of 8231 1451 127 validity may differ from nucleus to nucleus (e.g. for the total 8231 1451 128 cross sections, experimental data are included directly in the 8231 1451 129 file for energies below that boundary). Solving the Schroedinger 8231 1451 130 equation with this OMP yields the total cross section, the 8231 1451 131 shape-elastic cross section, the shape-elastic angular 8231 1451 132 distribution, the wave functions for the direct reaction cross 8231 1451 133 sections (see below), the transmission coefficients for the 8231 1451 134 compound nucleus model (see below) and the reaction cross 8231 1451 135 sections for the pre-equilibrium model (see below). 8231 1451 136 For neutrons and protons, the used parameterization is given in 8231 1451 137 Eq. (7) of [kon03]. 8231 1451 138 To calculate the transmission coefficients and reaction cross 8231 1451 139 sections for deuterons, tritons, helions and alpha particles, we 8231 1451 140 use OMPs that are directly derived from our nucleon potentials 8231 1451 141 using Watanabe's folding approach [mad88]. 8231 1451 142 8231 1451 143 ##### DIRECT REACTIONS 8231 1451 144 8231 1451 145 The built-in ECIS-97 is used for coupled-channels or DWBA 8231 1451 146 calculations for rotational or vibrational (or a combination of 8231 1451 147 these) nuclides. For Pb-206, DWBA was used to compute the direct 8231 1451 148 cross sections to several low-lying discrete levels: 8231 1451 149 8231 1451 150 Level Energy Spin/Parity Deformation length delta_L 8231 1451 151 8231 1451 152 1 0.803100 2.0+ 0.212 8231 1451 153 5 1.684040 4.0+ 0.160 8231 1451 154 17 2.647840 3.0- 0.738 8231 1451 155 + a few additional states with small deformation parameters. 8231 1451 156 8231 1451 157 In addition, a macroscopic, phenomenological model to describe 8231 1451 158 giant resonances in the inelastic channel is used. For each 8231 1451 159 multipolarity an energy weighted sum rule applies and a DWBA 8231 1451 160 calculation with ECIS-97 is performed for each giant resonance 8231 1451 161 state. The cross section is then spread over the continuum with a 8231 1451 162 Gaussian distribution. 8231 1451 163 8231 1451 164 ##### COMPOUND NUCLEUS 8231 1451 165 8231 1451 166 For binary compound nucleus reactions we use the model of 8231 1451 167 Moldauer [mol80], i.e. the Hauser-Feshbach model [hau52] 8231 1451 168 corrected for width fluctuations. The transmission coefficients 8231 1451 169 have been generated with the aforementioned OMPs and the full 8231 1451 170 j,l-dependence of the transmission coefficients in the 8231 1451 171 Hauser-Feshbach model is used. For each nucleus that can be 8231 1451 172 reached through a binary reaction, several discrete levels and a 8231 1451 173 continuum described by level densities are included 8231 1451 174 simultaneously as competing channels. 8231 1451 175 8231 1451 176 The compound nucleus angular distributions are calculated with 8231 1451 177 the Blatt-Biedenharn formalism [bla52], leading to compound 8231 1451 178 nucleus Legendre coefficients that are added to their direct 8231 1451 179 counterparts. For multiple compound emission, i.e. emitted 8231 1451 180 particles after the binary emission, we use the Hauser-Feshbach 8231 1451 181 model. Again, for each residual nucleus several discrete states 8231 1451 182 are included as well as a continuum described by level densities. 8231 1451 183 Multiple compound emission is continued until all reaction 8231 1451 184 channels are closed and the population distribution of all 8231 1451 185 residual nuclides is depleted, through gamma decay, until they 8231 1451 186 end up in the ground state or in an isomer. 8231 1451 187 8231 1451 188 For the level density, we take the composite formula proposed by 8231 1451 189 Gilbert and Cameron [gil65], consisting of a constant temperature 8231 1451 190 law at low energies and a Fermi gas expression at high energies. 8231 1451 191 For the level density parameter a we use the energy dependent 8231 1451 192 expression proposed by Ignatyuk [ign75] to take into account the 8231 1451 193 damping of shell effects at high excitation energy. We have 8231 1451 194 obtained the parameters for the Ignatyuk formula from a 8231 1451 195 simultaneous fit to all experimental D_0 values as present in the 8231 1451 196 RIPL library. If necessary, we adjust individual parameters to 8231 1451 197 obtain a better fit to experiment. 8231 1451 198 8231 1451 199 Gamma-ray transmission coefficients are generated with the 8231 1451 200 Kopecky-Uhl generalized Lorentzian for strength 8231 1451 201 functions [kop90], with giant dipole resonance parameters taken 8231 1451 202 from the RIPL library [rip98], and normalized with experimental 8231 1451 203 radiative widths [gar84]. 8231 1451 204 8231 1451 205 ##### PRE-EQUILIBRIUM REACTIONS 8231 1451 206 8231 1451 207 For pre-equilibrium reactions, which become important for 8231 1451 208 incident energies above about 10 MeV, we use the two-component 8231 1451 209 exciton model [kon04b], in which the neutron or proton types of 8231 1451 210 particles and holes are followed throughout the reaction. For 8231 1451 211 energies above 20 MeV, multiple pre-equilibrium emission up to 8231 1451 212 any order of particle emission was included in the calculations. 8231 1451 213 A parameterization for the squared matrix element is used that is 8231 1451 214 valid for the whole energy range of this evaluation. 8231 1451 215 8231 1451 216 For deuterons, tritons, helions and alpha-particles, an extra 8231 1451 217 contribution was added from the pick/up and knock-out reaction 8231 1451 218 model by Kalbach [kal01]. 8231 1451 219 8231 1451 220 For photons, the model of Akkermans and Gruppelaar [akk85] was 8231 1451 221 applied, to simulate the direct and semi-direct capture 8231 1451 222 processes. 8231 1451 223 8231 1451 224 The angular distribution systematics by Kalbach [kal88] were used 8231 1451 225 to describe the angular distributions for all continuum 8231 1451 226 particles. An isotopic distribution for photons was adopted. 8231 1451 227 8231 1451 228 ****** C O M P A R I S O N W I T H E X P E R I M E N T *****8231 1451 229 8231 1451 230 This evaluation was performed simultaneously with other adjacent 8231 1451 231 isotopes, both for incident neutrons and protons. This enables, 8231 1451 232 when compared with a single-isotope effort, to put stronger 8231 1451 233 constraints on the produced calculated data, i.e. a globally 8231 1451 234 good comparison between TALYS and experimental data is requested 8231 1451 235 for all isotopes at the same time, while nucleus-specific input 8231 1451 236 (default or adjusted) parameters are consistently used for all 8231 1451 237 isotopes. Also, experimental data that is not available for the 8231 1451 238 isotope under study may be present, and tested, for adjacent 8231 1451 239 nuclides or for other projectiles. If these can be successfully 8231 1451 240 described by the models, a similar performance can be expected 8231 1451 241 for the present data file. Examples are the (p,xn)....(p,xa) 8231 1451 242 spectra for Pb-208 and Pb-nat and the (n,xn) excitation functions 8231 1451 243 up to 200 MeV for Bi-209. 8231 1451 244 8231 1451 245 ##### TOTAL AND REACTION CROSS SECTIONS AND ELASTIC SCATTERING 8231 1451 246 8231 1451 247 The spherical OMP was tested against experimental data for 8231 1451 248 natural Pb, in particular the cross section set of [fin93]. The 8231 1451 249 used parameters are those of Tables 5-6 of [kon03]. Consult 8231 1451 250 [kon03] for the complete experimental database of elastic 8231 1451 251 scattering angular distributions and for a comparison of 8231 1451 252 calculations and measurements over the whole energy range. 8231 1451 253 8231 1451 254 ##### INELASTIC CROSS SECTIONS 8231 1451 255 8231 1451 256 For the total inelastic cross section, the calculated results 8231 1451 257 were compared with one experimental data point [tom63]. 8231 1451 258 For inelastic scattering to the first excited state, the 8231 1451 259 calculations have been tested against the available measurements 8231 1451 260 [alm75,kon73,abd76]. Good agreement is obtained with the first 8231 1451 261 two of these three measurements. The single data point of [abd76] 8231 1451 262 is clearly too high. For inelastic scattering to the second, 8231 1451 263 third and fourth state, the calculations have also been tested 8231 1451 264 against the available experimental data [alm75,abd76], with a 8231 1451 265 similar conclusion as for the first excited state. No further 8231 1451 266 renormalization was necessary to describe the experiments. 8231 1451 267 8231 1451 268 ##### OTHER PARTIAL CROSS SECTIONS 8231 1451 269 8231 1451 270 - (n,gamma): 8231 1451 271 8231 1451 272 The calculated capture cross section is renormalized, by 8231 1451 273 overruling the default renormalization to the s-wave strength 8231 1451 274 function, to the available experimental data, all taken from the 8231 1451 275 EXFOR database. A normalization factor of 0.30 was used. The 8231 1451 276 pre-equilibrium gamma cross section was adjusted to the data by 8231 1451 277 multiplying the calculated result by a factor of 1.5. 8231 1451 278 8231 1451 279 - (n,2n): 8231 1451 280 8231 1451 281 The calculated results have been validated with the experimental 8231 1451 282 (n,2n) cross section of Frehaut [fre80], taking into account a 8231 1451 283 necessary 10-15 % renormalization of the experimental data that 8231 1451 284 was recently reported [ber03]. Independent tests come from 8231 1451 285 specific gamma rays produced by the (n,2n) reaction [von94] on 8231 1451 286 Pb-207 and Pb-208, which can be used to guide the evaluation for 8231 1451 287 Pb-206, and the simultaneous description of the differential 8231 1451 288 energy spectra at 14 MeV [sch97]. 8231 1451 289 8231 1451 290 - (n,3n): 8231 1451 291 8231 1451 292 Validated with old [wel81] and recent [plo02] experimental data. 8231 1451 293 8231 1451 294 - (n,p): 8231 1451 295 8231 1451 296 One experimental data point for (n,p) [bel76] has been 8231 1451 297 used to validate the calculation. TALYS overestimates this 8231 1451 298 near-threshold value by a few millibarns. 8231 1451 299 8231 1451 300 - (n,a): 8231 1451 301 8231 1451 302 Near threshold, various experimental data sets exist, which are 8231 1451 303 all well described. At energies between 16 and 20 MeV, [plo02] 8231 1451 304 has been used as validation. 8231 1451 305 8231 1451 306 ##### PARTICLE SPECTRA 8231 1451 307 8231 1451 308 For Pb-206, no adjustment of the default matrix element 8231 1451 309 parameterization of [kon04b] for pre-equilibrium reactions was 8231 1451 310 needed, to describe the aforementioned cross sections and 8231 1451 311 emission spectra [sch97]. 8231 1451 312 For high-energy neutron and charged particle spectra, the average 8231 1451 313 quality is also determined by the pre-equilibrium model and its 8231 1451 314 global parameterization. Two experiments from the HINDAS project, 8231 1451 315 for neutron induced reaction spectra at 63 MeV [ker02] and 96 MeV 8231 1451 316 [lec03], have enabled us to better constrain the results, through 8231 1451 317 the aforementioned matrix element, for particle yields and 8231 1451 318 double-differential spectra for all ejectiles up to alpha 8231 1451 319 particles. 8231 1451 320 8231 1451 321 ***************** F I L E I N F O R M A T I O N ****************8231 1451 322 8231 1451 323 ##### MF1: GENERAL INFORMATION 8231 1451 324 8231 1451 325 - MT451 : Descriptive data and directory 8231 1451 326 8231 1451 327 This text and the full directory of used MF/MT sections. 8231 1451 328 8231 1451 329 ##### MF2: RESONANCE PARAMETERS 8231 1451 330 8231 1451 331 - MT151 : Resonance parameters 8231 1451 332 8231 1451 333 Reich-Moore resolved resonance parameters covering the energy 8231 1451 334 range 1.0e-5 eV to 900 keV were adopted from the ENDF/B-VI.8 8231 1451 335 evaluation. They are based on [hor81] and [lar89] (>70 keV), 8231 1451 336 and [mug81] (<70 keV). 8231 1451 337 8231 1451 338 ##### MF3: REACTION CROSS SECTIONS 8231 1451 339 8231 1451 340 Unless stated otherwise, all the data present in the following 8231 1451 341 MT-sections have been calculated with TALYS. If the maximal cross 8231 1451 342 section in an excitation function over the whole energy range 8231 1451 343 does not exceed 1.e-9 b, the MT-number is not included at all. 8231 1451 344 Cross sections lower than 1.e-20 b are assumed to have no 8231 1451 345 physical meaning and are set to zero. 8231 1451 346 8231 1451 347 - MT1 : Total cross section 8231 1451 348 8231 1451 349 Below 6.0 MeV, MT1 is adopted from ENDF/B-VI.8. The experimental 8231 1451 350 total cross sections from [hor81] are used above the resonance 8231 1451 351 range (> 900 keV). Above 6.0 MeV, calculations from the spherical 8231 1451 352 OMP were used. 8231 1451 353 8231 1451 354 - MT2 : Elastic scattering cross section 8231 1451 355 8231 1451 356 Obtained by subtracting the non-elastic cross section from the 8231 1451 357 total cross section. At energies below 6.5 MeV, the elastic 8231 1451 358 cross section is thus derived from evaluated experiment-based 8231 1451 359 total cross sections and optical model based non-elastic cross 8231 1451 360 sections. Below 900 keV, resonance parameters are used. 8231 1451 361 8231 1451 362 - MT3 : Non-elastic cross section 8231 1451 363 8231 1451 364 Calculated with the optical model over the whole energy range. 8231 1451 365 The results have been validated with existing experimental 8231 1451 366 neutron reaction cross section data, all taken from the EXFOR 8231 1451 367 database. Below 900 keV, resonance parameters are used. 8231 1451 368 8231 1451 369 - MT4 : Total inelastic cross section 8231 1451 370 8231 1451 371 Sum of MT=51-91. 8231 1451 372 8231 1451 373 - MT5 : (n,anything) cross section 8231 1451 374 8231 1451 375 For energies below 20 MeV, MT5 contains the lumped (n,gamma x) 8231 1451 376 cross section, where x may represent neutron, proton, deuteron, 8231 1451 377 triton, Helium-3 or alpha. Using the relative yields of MF6/MT5, 8231 1451 378 the (n,gamma n), (n,gamma p), ..., (n,gamma alpha) can be 8231 1451 379 recovered. These cross sections are relatively small. However, 8231 1451 380 addition of these cross sections, which can not be stored in any 8231 1451 381 other MT-number, ensures that the partial cross sections add up 8231 1451 382 to the non-elastic cross section. Above 20 MeV, MT5 contains the 8231 1451 383 total non-elastic cross section, with which the information of 8231 1451 384 MF6/MT5 can be combined to obtain particle production cross 8231 1451 385 sections and (double-)differential cross sections. 8231 1451 386 8231 1451 387 - MT16 : (n,2n) cross section 8231 1451 388 - MT17 : (n,3n) cross section 8231 1451 389 - MT22 : (n,na) cross section 8231 1451 390 - MT24 : (n,2na) cross section 8231 1451 391 - MT28 : (n,np) cross section 8231 1451 392 - MT32 : (n,nd) cross section 8231 1451 393 - MT33 : (n,nt) cross section 8231 1451 394 - MT41 : (n,2np) cross section 8231 1451 395 - MT51-75 : (n,n') cross section for 1st-25th excited state 8231 1451 396 - MT91 : (n,n') continuum cross section 8231 1451 397 - MT102 : (n,gamma) cross section 8231 1451 398 8231 1451 399 Below 900 keV, resonance parameters are used. 8231 1451 400 8231 1451 401 - MT103 : (n,p) cross section 8231 1451 402 - MT104 : (n,d) cross section 8231 1451 403 - MT105 : (n,t) cross section 8231 1451 404 - MT106 : (n,h) cross section 8231 1451 405 - MT107 : (n,a) cross section 8231 1451 406 - MT108 : (n,2a) cross section 8231 1451 407 - MT600-610: (n,p) cross section for 0th-10th excited state 8231 1451 408 8231 1451 409 Obtained by mapping continuum (n,p) cross section from 8231 1451 410 pre-equilibrium and compound model on discrete states. 8231 1451 411 8231 1451 412 - MT649 : (n,p) continuum cross section 8231 1451 413 - MT650-655: (n,d) cross section for 0th-5th excited state 8231 1451 414 8231 1451 415 Obtained by mapping continuum (n,d) cross section from 8231 1451 416 pre-equilibrium and compound model on discrete states. 8231 1451 417 8231 1451 418 - MT699 : (n,d) continuum cross section 8231 1451 419 - MT700-705: (n,t) cross section for 0th-5th excited state 8231 1451 420 8231 1451 421 Obtained by mapping continuum (n,t) cross section from 8231 1451 422 pre-equilibrium and compound model on discrete states. 8231 1451 423 8231 1451 424 - MT749 : (n,t) continuum cross section 8231 1451 425 - MT800-810: (n,a) cross section for 0th-10th excited state 8231 1451 426 8231 1451 427 Obtained by mapping continuum (n,a) cross section from 8231 1451 428 pre-equilibrium and compound model on discrete states. 8231 1451 429 8231 1451 430 - MT849 : (n,a) continuum cross section 8231 1451 431 8231 1451 432 ##### MF4: ANGULAR DISTRIBUTIONS OF SECONDARY PARTICLES 8231 1451 433 8231 1451 434 The versatility of MF6 for the storage of almost any secondary 8231 1451 435 distribution entails that we only use MF4 for the neutron elastic 8231 1451 436 scattering distribution. All data are generated with TALYS. 8231 1451 437 8231 1451 438 - MT2 : Elastic angular distribution 8231 1451 439 8231 1451 440 The flag LTT=3 is used to indicate a switch at 20 MeV from a 8231 1451 441 Legendre representation to a tabulated representation. For 8231 1451 442 incident energies below 20 MeV, the Legendre coefficients are 8231 1451 443 given on a sufficiently precise energy grid. They are a sum of 8231 1451 444 calculated Legendre coefficients for compound nucleus and 8231 1451 445 shape-elastic scattering. For incident energies above 20 MeV, 8231 1451 446 relative angular distributions are tabulated on an angular grid. 8231 1451 447 8231 1451 448 ##### MF6: PRODUCT ENERGY-ANGLE DISTRIBUTIONS 8231 1451 449 8231 1451 450 In MF6 we store all secondary energy, angle, and energy-angle 8231 1451 451 distributions, as well as all residual and discrete + continuum 8231 1451 452 photon production cross sections. We thus do not use MF12-15 for 8231 1451 453 the photon production that accompanies each reaction. All data 8231 1451 454 are generated with TALYS. 8231 1451 455 8231 1451 456 - MT5 : (n,anything) yields and energy-angle distributions 8231 1451 457 8231 1451 458 For energies below 20 MeV, MT5 contains the relative yields of 8231 1451 459 the (n,gamma x) reaction, where x may represent neutron, proton, 8231 1451 460 deuteron, triton, Helium-3 or alpha. Using the (n,gamma x) cross 8231 1451 461 section of MF3/MT3, the (n,gamma p), ..., (n,gamma alpha) cross 8231 1451 462 section can be recovered. For energies above 20 MeV, MT5 contains 8231 1451 463 the production yields of particles and residual products. It also 8231 1451 464 contains the secondary energy-angle distributions for all 8231 1451 465 particles and photons. First, the yields for neutrons are given 8231 1451 466 for the whole energy range. Next, on a secondary energy grid the 8231 1451 467 relative emission spectra are given together with the parameters 8231 1451 468 for the Kalbach systematics for angular distributions. Inelastic 8231 1451 469 scattering cross sections for discrete states have been broadened 8231 1451 470 and added to the continuum spectra. This procedure is repeated 8231 1451 471 for protons, deuterons, tritons, Helium-3, alpha particles and 8231 1451 472 photons. Finally, the residual production yields are given per 8231 1451 473 final product. All these yields and relative distributions can 8231 1451 474 be multiplied with the cross sections given in MF3/MT5 to get 8231 1451 475 the production cross sections and (double-)differential cross 8231 1451 476 sections. 8231 1451 477 8231 1451 478 - MT16 : (n,2n) energy-angle distr. and photon production 8231 1451 479 8231 1451 480 First, for each type of outgoing particle, the (trivial) integer 8231 1451 481 particle yields are given. Next, on a sufficiently dense incident 8231 1451 482 energy grid the secondary energy-angle distributions are 8231 1451 483 specified by means of the relative emission spectra and the 8231 1451 484 parameters for the Kalbach systematics for angular distributions. 8231 1451 485 Next, the photon yield is tabulated as a function of incident 8231 1451 486 energy. For each incident energy, the photon production is given 8231 1451 487 for all discrete gamma lines present in the final nucleus. A 8231 1451 488 continuum photon distribution is added to this. We assume 8231 1451 489 isotropy for all produced gamma rays. 8231 1451 490 8231 1451 491 For the following MT-numbers, the same procedure as for MT16 is 8231 1451 492 followed: 8231 1451 493 ----- 8231 1451 494 - MT17 : (n,3n) energy-angle distr. and photon production 8231 1451 495 - MT22 : (n,na) energy-angle distr. and photon production 8231 1451 496 - MT24 : (n,2na) energy-angle distr. and photon production 8231 1451 497 - MT28 : (n,np) energy-angle distr. and photon production 8231 1451 498 - MT32 : (n,nd) energy-angle distr. and photon production 8231 1451 499 - MT33 : (n,nt) energy-angle distr. and photon production 8231 1451 500 - MT41 : (n,2np) energy-angle distr. and photon production 8231 1451 501 - MT91 : (n,n') continuum energy-angle distr. and phot. prod. 8231 1451 502 - MT102 : (n,gamma) photon production 8231 1451 503 - MT108 : (n,2a) energy-angle distr. and photon production 8231 1451 504 - MT649 : (n,p) continuum energy-angle distr. and photon prod. 8231 1451 505 - MT699 : (n,d) continuum energy-angle distr. and photon prod. 8231 1451 506 - MT749 : (n,t) continuum energy-angle distr. and photon prod. 8231 1451 507 - MT849 : (n,a) continuum energy-angle distr. and photon prod. 8231 1451 508 ----- 8231 1451 509 8231 1451 510 - MT51 : (n,n') angular distribution and photon production 8231 1451 511 for first excited state 8231 1451 512 8231 1451 513 The angular distribution for inelastic scattering to the first 8231 1451 514 inelastic state is given with Legendre coefficients up to 20 MeV. 8231 1451 515 Next, the exclusive yields for all the discrete gamma rays that 8231 1451 516 originate from this particular level are given. 8231 1451 517 8231 1451 518 For the following MT-numbers, the same procedure as for MT51 is 8231 1451 519 followed: 8231 1451 520 ----- 8231 1451 521 - MT52-75 : (n,n') angular distribution and photon production 8231 1451 522 for 2nd-25th excited state 8231 1451 523 - MT600-610: (n,p) angular distribution and photon production 8231 1451 524 for 0th-10th excited state 8231 1451 525 - MT650-655: (n,d) angular distribution and photon production 8231 1451 526 for 0th-5th excited state 8231 1451 527 - MT700-705: (n,t) angular distribution and photon production 8231 1451 528 for 0th-5th excited state 8231 1451 529 - MT800-810: (n,a) angular distribution and photon production 8231 1451 530 for 0th-10th excited state 8231 1451 531 ----- 8231 1451 532 8231 1451 533 ##### MF8: RADIOACTIVE DECAY DATA 8231 1451 534 8231 1451 535 For reactions to isomers, MF8 designates where the information 8231 1451 536 for isomeric versus ground state production can be found, i.e. 8231 1451 537 for each MT number it points to either MF6, MF9 or MF10. 8231 1451 538 8231 1451 539 ##### MF9: MULTIPLICITIES FOR PRODUCTION OF RADIOACTIVE NUCLIDES 8231 1451 540 8231 1451 541 All data are generated with TALYS. Final states with a lifetime 8231 1451 542 that exceeds 1 second are treated as isomer. 8231 1451 543 8231 1451 544 - MT108 : (n,2a) cross section to ground state and isomer 8231 1451 545 8231 1451 546 ##### MF10: CROSS SECTIONS FOR PRODUCTION OF RADIOACTIVE NUCLIDES 8231 1451 547 8231 1451 548 All data are generated with TALYS. Final states with a lifetime 8231 1451 549 that exceeds 1 second are treated as isomer. 8231 1451 550 8231 1451 551 - MT17 : (n,3n) cross section to ground state and isomer 8231 1451 552 8231 1451 553 ***** 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 ****8231 1451 554 8231 1451 555 This file has been checked successfully by the BNL checking 8231 1451 556 codes CHECKR-6.12, FIZCON-6.12 and PSYCHE-6.12 [dun01] and has 8231 1451 557 been processed successfully into an MCNP library by the 8231 1451 558 processing code NJOY99.81 [mac00]. 8231 1451 559 8231 1451 560 *********************** R E F E R E N C E S **********************8231 1451 561 8231 1451 562 [abd76] M. Abdel-Harith,Th. Schweitzer, D. Seeliger, and 8231 1451 563 S. Unholzer, ZFK report ZFK-315, 12 (1976). 8231 1451 564 [akk85] J.M. Akkermans and H. Gruppelaar, Phys. Lett. 157B, 95 8231 1451 565 (1985). 8231 1451 566 [alm75] E. Almen-Ramstroem, AE-report AE-503 (1975). 8231 1451 567 [bel76] G.E. Belovickij, O.S. Presnjak, and L.V. Sukhov, 3rd All 8231 1451 568 Union Conf. on Neutron Physics, Kiev, USSR, 8231 1451 569 9-13 Jun 1975, 209 (1976). 8231 1451 570 [ber03] O. Bersillon, Bruyeres-le-Chatel, private communication. 8231 1451 571 [bla52] J.M. Blatt and L.C. Biedenharn, Rev. Mod. Phys. 52, 725 8231 1451 572 (1952). 8231 1451 573 [dun01] C. Dunford, ENDF Utility Codes Release 6.12, (2001). 8231 1451 574 [fin93] R.W. Finlay, W.P. Abfalterer, G. Fink, E. Montei, 8231 1451 575 T. Adami, P.W. Lisowski, G.L. Morgan, and R.C. Haight, 8231 1451 576 Phys. Rev. C47, 237 (1993). 8231 1451 577 [fre80] J. Frehaut, A. Bertin, R. Bois, and J. Jary, in Symposium 8231 1451 578 on neutron cross sections from 10-50 MeV, Upton, USA, 8231 1451 579 May 12-14, 1980, p. 399 (1980). 8231 1451 580 [gar84] D.G. Gardner, in Neutron Radiative Capture, OECD/NEA 8231 1451 581 Series on Neutron Physics and Nuclear Data in Science and 8231 1451 582 Technology, eds. A. Michaudon et al., p. 62 (1984). 8231 1451 583 [gil65] A. Gilbert and A.G.W. Cameron, Can. J. Phys. 43, 1446 8231 1451 584 (1965). 8231 1451 585 [hau52] W. Hauser and H. Feshbach, Phys. Rev. 87, 366 (1952). 8231 1451 586 [hor81] D.J. Horen, J.A. Harvey and N.W. Hill, Phys. Rev. C24, 8231 1451 587 1961 (1981). 8231 1451 588 [ign75] A.V. Ignatyuk, G.N. Smirenkin, and A.S. Tishin, Sov. J. 8231 1451 589 Nucl. Phys. 21, no. 3, 255 (1975). 8231 1451 590 [kal88] C. Kalbach, Phys. Rev. C37, 2350 (1988). 8231 1451 591 [kal01] C. Kalbach, PRECO-2000: Exciton model pre-equilibrium 8231 1451 592 code with direct reactions, Duke University 2001, 8231 1451 593 www.nndc.bnl.gov/nndcscr/model-codes/preco-2000/. 8231 1451 594 [ker02] M. Kerveno, F. Haddad, Ph. Eudes, T. Kirchner, C. Lebrun, 8231 1451 595 I. Slypen, J.P. Meulders, C. Le Brun, F.R. Lecolley, 8231 1451 596 J.F. Lecolley, F. Lefebvres, S. Hilaire, and A.J. Koning, 8231 1451 597 Phys. Rev. C66, 014601 (2002). 8231 1451 598 [kon73] E.S. Konobeevskij, R.M. Musaelyan, V.I. Popov, and 8231 1451 599 I.V. Surkova, Izv. Rossiiskoi Akademii Nauk 37 (8), 8231 1451 600 1714 (1973). 8231 1451 601 [kon03] A.J. Koning and J.P. Delaroche, Nucl. Phys. A713, 231 8231 1451 602 (2003). 8231 1451 603 [kon04] A.J. Koning, S. Hilaire and M.C. Duijvestijn, unpublished 8231 1451 604 (2004). 8231 1451 605 [kon04b] A.J. Koning and M.C. Duijvestijn, to be published 8231 1451 606 (2004). 8231 1451 607 [kop90] J. Kopecky and M. Uhl, Phys. Rev. C42, 1941 (1990). 8231 1451 608 [lar89] N.M. Larson, Users' Guide to Sammy, Oak Ridge National 8231 1451 609 Laboratory report, ORNL/TM-9179/R1 (1989) 8231 1451 610 [lec03] F.R. Lecolley, in Workshop on Nuclear Data for the 8231 1451 611 Transmutation of Nuclear Waste, 2003, GSI-Darmstadt, 8231 1451 612 Germany (2003). 8231 1451 613 [mac00] R.E. Macfarlane, NJOY99 - Code system for producing 8231 1451 614 pointwise and multigroup neutron and photon cross 8231 1451 615 sections from ENDF/B Data, RSIC PSR-480 (2000). 8231 1451 616 [mad88] D.G. Madland, in Proceedings of a Specialists' Meeting on 8231 1451 617 Preequilibrium Reactions, Semmering, Austria, 8231 1451 618 February 10-12 1988, (OECD, Paris 1988), p. 103. 8231 1451 619 [mol80] P.A. Moldauer, Nucl. Phys. A344, 185 (1980). 8231 1451 620 [mug81] S.F. Mughabghab, M. Divadeenam, and. N.E. Holden, 8231 1451 621 Neutron Cross Sections, Vol. I, Neutron Resonance 8231 1451 622 Parameters and Thermal Cross Sections (Academic Press, 8231 1451 623 1981). 8231 1451 624 [plo02] A.J.M. Plompen, D.L. Smith, P. Reimer, S.M. Qaim, 8231 1451 625 V. Semkova, F. Cserpak, V. Avrigeanu, and S. Sudar, 8231 1451 626 Proceedings of the International conference on nuclear 8231 1451 627 data for science and technology, Oct. 7-12 2001, Tsukuba, 8231 1451 628 Japan, Journal of Nuclear Science and Technology, 8231 1451 629 Supplement 2, August 2002, p. 192. 8231 1451 630 [ray94] J. Raynal, Notes on ECIS94, CEA Saclay Report 8231 1451 631 No. CEA-N-2772, 1994. 8231 1451 632 [rip98] Handbook for calculations of nuclear reaction data: 8231 1451 633 Reference Input Parameter Library, IAEA-TECDOC-1034 8231 1451 634 (1998). 8231 1451 635 [sch97] D. Schmidt, W. Mannhart, and B.R.L. Siebert, in 8231 1451 636 Proceedings of the International Conference on Nuclear 8231 1451 637 Data for Science and Technology, Trieste, Italy, edited 8231 1451 638 by G. Reffo (1997), p. 407. 8231 1451 639 [tom63] D.B. Thomson, Phys. Rev. 129, 1649 (1963). 8231 1451 640 [von94] H. Vonach, A. Pavlik, M.B. Chadwick, R.C. Haight, 8231 1451 641 R.O. Nelson, S.A. Wender, and P.G. Young, Phys. Rev. C50, 8231 1451 642 1952 (1994). 8231 1451 643 [wel81] P. Welch, J. Johnson, G. Randers-Pehrson, and 8231 1451 644 J. Rapaport, Bull. Am. Phys. Soc. 26, 708 (1981). 8231 1451 645 8231 1451 646 ************************* C O N T E N T S ************************8231 1451 647 8231 1451 648 ***************** Program LINEAR (VERSION 2012-1) ***************8231 1451 649 For All Data Greater than 1.0000E-10 barns in Absolute Value 8231 1451 650 Data Linearized to Within an Accuracy of .010000000 per-cent 8231 1451 651 ***************** Program RECENT (VERSION 2012-1) ***************8231 1451 652 For All Data Greater than 1.0000E-10 barns in Absolute Value 8231 1451 653 Data Linearized Using Energy Dependent Uncertainty 8231 1451 654 Energy Accuracy 8231 1451 655 (eV) (per-cent) 8231 1451 656 ----------- ----------- 8231 1451 657 1.00000000 .010000000 8231 1451 658 2.00000000 .100000000 8231 1451 659 ***************** Program SIGMA1 (VERSION 2012-1) ***************8231 1451 660 Data Doppler Broadened to 1200.00000 Kelvin 8231 1451 661 For All Data Greater than 1.0000E-10 barns in Absolute Value 8231 1451 662 Data Linearized Using Energy Dependent Uncertainty 8231 1451 663 Energy Accuracy 8231 1451 664 (eV) (per-cent) 8231 1451 665 ----------- ----------- 8231 1451 666 1.00000000 .010000000 8231 1451 667 2.00000000 .100000000 8231 1451 668 ***************** Program FIXUP (Version 2012-1) ****************8231 1451 669 Corrected ZA/AWR in All Sections-----------------------------Yes 8231 1451 670 Corrected Thresholds-----------------------------------------No 8231 1451 671 Extended Cross Sections to 20 MeV----------------------------No 8231 1451 672 Allow Cross Section Deletion---------------------------------No 8231 1451 673 Allow Cross Section Reconstruction---------------------------Yes 8231 1451 674 Make All Cross Sections Non-Negative-------------------------Yes 8231 1451 675 Delete Energies Not in Ascending Order-----------------------Yes 8231 1451 676 Deleted Duplicate Points-------------------------------------Yes 8231 1451 677 Check for Ascending MAT/MF/MT Order--------------------------Yes 8231 1451 678 Check for Legal MF/MT Numbers--------------------------------Yes 8231 1451 679 Allow Creation of Missing Sections---------------------------Yes 8231 1451 680 Allow Insertion of Energy Points-----------------------------No 8231 1451 681 Uniform Energy Grid for ALL MT-------------------------------No 8231 1451 682 Delete Section if Cross Section =0 at All Energies-----------Yes 8231 1451 683 **************** Program DICTIN (VERSION 2012-1) ****************8231 1451 684 1 451 855 18231 1451 685 2 151 389 18231 1451 686 3 1 28462 18231 1451 687 3 2 7909 18231 1451 688 3 3 20852 18231 1451 689 3 4 31 18231 1451 690 3 5 23 18231 1451 691 3 16 11 18231 1451 692 3 17 6 18231 1451 693 3 22 206 18231 1451 694 3 24 8 18231 1451 695 3 28 10 18231 1451 696 3 32 6 18231 1451 697 3 33 6 18231 1451 698 3 41 6 18231 1451 699 3 51 22 18231 1451 700 3 52 22 18231 1451 701 3 53 22 18231 1451 702 3 54 21 18231 1451 703 3 55 20 18231 1451 704 3 56 21 18231 1451 705 3 57 21 18231 1451 706 3 58 20 18231 1451 707 3 59 20 18231 1451 708 3 60 16 18231 1451 709 3 61 19 18231 1451 710 3 62 20 18231 1451 711 3 63 20 18231 1451 712 3 64 20 18231 1451 713 3 65 20 18231 1451 714 3 66 19 18231 1451 715 3 67 15 18231 1451 716 3 68 17 18231 1451 717 3 69 18 18231 1451 718 3 70 19 18231 1451 719 3 71 17 18231 1451 720 3 72 18 18231 1451 721 3 73 19 18231 1451 722 3 74 18 18231 1451 723 3 75 18 18231 1451 724 3 91 18 18231 1451 725 3 102 19895 18231 1451 726 3 103 21 18231 1451 727 3 104 13 18231 1451 728 3 105 10 18231 1451 729 3 107 949 18231 1451 730 3 108 100 18231 1451 731 3 600 20 18231 1451 732 3 601 20 18231 1451 733 3 602 20 18231 1451 734 3 603 19 18231 1451 735 3 604 20 18231 1451 736 3 605 19 18231 1451 737 3 606 18 18231 1451 738 3 607 19 18231 1451 739 3 608 19 18231 1451 740 3 609 19 18231 1451 741 3 610 19 18231 1451 742 3 649 18 18231 1451 743 3 650 13 18231 1451 744 3 651 12 18231 1451 745 3 652 12 18231 1451 746 3 653 11 18231 1451 747 3 654 11 18231 1451 748 3 655 11 18231 1451 749 3 699 10 18231 1451 750 3 700 10 18231 1451 751 3 701 10 18231 1451 752 3 702 10 18231 1451 753 3 703 10 18231 1451 754 3 704 10 18231 1451 755 3 705 10 18231 1451 756 3 749 10 18231 1451 757 3 800 225 18231 1451 758 3 801 223 18231 1451 759 3 802 229 18231 1451 760 3 803 239 18231 1451 761 3 804 244 18231 1451 762 3 805 236 18231 1451 763 3 806 237 18231 1451 764 3 807 236 18231 1451 765 3 808 232 18231 1451 766 3 809 225 18231 1451 767 3 810 221 18231 1451 768 3 849 281 18231 1451 769 4 2 1247 18231 1451 770 6 5 8721 18231 1451 771 6 16 745 18231 1451 772 6 17 234 18231 1451 773 6 22 1401 18231 1451 774 6 24 410 18231 1451 775 6 28 595 18231 1451 776 6 32 222 18231 1451 777 6 33 249 18231 1451 778 6 41 181 18231 1451 779 6 51 155 18231 1451 780 6 52 140 18231 1451 781 6 53 133 18231 1451 782 6 54 146 18231 1451 783 6 55 146 18231 1451 784 6 56 133 18231 1451 785 6 57 147 18231 1451 786 6 58 145 18231 1451 787 6 59 140 18231 1451 788 6 60 142 18231 1451 789 6 61 136 18231 1451 790 6 62 137 18231 1451 791 6 63 128 18231 1451 792 6 64 126 18231 1451 793 6 65 126 18231 1451 794 6 66 138 18231 1451 795 6 67 137 18231 1451 796 6 68 132 18231 1451 797 6 69 137 18231 1451 798 6 70 129 18231 1451 799 6 71 135 18231 1451 800 6 72 131 18231 1451 801 6 73 126 18231 1451 802 6 74 131 18231 1451 803 6 75 132 18231 1451 804 6 91 1416 18231 1451 805 6 102 1051 18231 1451 806 6 108 468 18231 1451 807 6 600 71 18231 1451 808 6 601 82 18231 1451 809 6 602 77 18231 1451 810 6 603 84 18231 1451 811 6 604 79 18231 1451 812 6 605 83 18231 1451 813 6 606 76 18231 1451 814 6 607 82 18231 1451 815 6 608 80 18231 1451 816 6 609 74 18231 1451 817 6 610 74 18231 1451 818 6 649 843 18231 1451 819 6 650 51 18231 1451 820 6 651 55 18231 1451 821 6 652 61 18231 1451 822 6 653 56 18231 1451 823 6 654 53 18231 1451 824 6 655 58 18231 1451 825 6 699 347 18231 1451 826 6 700 47 18231 1451 827 6 701 51 18231 1451 828 6 702 52 18231 1451 829 6 703 58 18231 1451 830 6 704 56 18231 1451 831 6 705 56 18231 1451 832 6 749 310 18231 1451 833 6 800 87 18231 1451 834 6 801 92 18231 1451 835 6 802 91 18231 1451 836 6 803 91 18231 1451 837 6 804 96 18231 1451 838 6 805 98 18231 1451 839 6 806 96 18231 1451 840 6 807 96 18231 1451 841 6 808 96 18231 1451 842 6 809 98 18231 1451 843 6 810 93 18231 1451 844 6 849 1245 18231 1451 845 8 17 3 18231 1451 846 8 108 3 18231 1451 847 9 108 21 18231 1451 848 10 17 10 18231 1451 849 33 1 115 18231 1451 850 33 2 65 18231 1451 851 33 3 24 18231 1451 852 33 4 121 18231 1451 853 33 16 19 18231 1451 854 33 102 177 18231 1451 855 8231 1 0 856 8231 0 0 857 82206.0000 204.205000 0 0 1 08231 2151 858 82206.0000 1.00000000 0 0 1 08231 2151 859 1.00000E-5 900000.000 1 3 0 18231 2151 860 0.0 .950000000 1 0 4 48231 2151 861 204.200000 .950000000 0 0 234 398231 2151 862 -1000.00000 .500000000 10.0000000 .015040000 0.0 0.0 8231 2151 863 16420.0000 .500000000 .640000000 .860000000 0.0 0.0 8231 2151 864 65990.0000 .500000000 92.0000000 1.30000000 0.0 0.0 8231 2151 865 92620.0000 .500000000 32.0000000 1.44000000 0.0 0.0 8231 2151 866 146310.000 .500000000 176.000000 5.25000000 0.0 0.0 8231 2151 867 207890.000 .500000000 2173.00000 .125000000 0.0 0.0 8231 2151 868 220430.000 .500000000 1407.00000 .850000000 0.0 0.0 8231 2151 869 257280.000 .500000000 1427.00000 1.85000000 0.0 0.0 8231 2151 870 269770.000 .500000000 31.0000000 .040000000 0.0 0.0 8231 2151 871 297710.000 .500000000 113.000000 1.28000000 0.0 0.0 8231 2151 872 347240.000 .500000000 10980.0000 5.10000000 0.0 0.0 8231 2151 873 355320.000 .500000000 5299.00000 .580000000 0.0 0.0 8231 2151 874 382840.000 .500000000 4447.00000 4.57830000 0.0 0.0 8231 2151 875 395050.000 .500000000 4396.00000 2.20000000 0.0 0.0 8231 2151 876 419770.000 .500000000 6363.00000 4.80000000 0.0 0.0 8231 2151 877 429750.000 .500000000 129.000000 4.57830000 0.0 0.0 8231 2151 878 455570.000 .500000000 42.0000000 4.57830000 0.0 0.0 8231 2151 879 477310.000 .500000000 374.000000 4.57830000 0.0 0.0 8231 2151 880 492600.000 .500000000 9166.00000 4.57830000 0.0 0.0 8231 2151 881 512300.000 .500000000 160.000000 4.57830000 0.0 0.0 8231 2151 882 521860.000 .500000000 55.0000000 42.0000000 0.0 0.0 8231 2151 883 532100.000 .500000000 391.000000 4.57830000 0.0 0.0 8231 2151 884 548930.000 .500000000 3099.00000 1.00000000 0.0 0.0 8231 2151 885 617800.000 .500000000 3164.00000 4.57830000 0.0 0.0 8231 2151 886 638500.000 .500000000 156.000000 4.57830000 0.0 0.0 8231 2151 887 655000.000 .500000000 382.000000 4.57830000 0.0 0.0 8231 2151 888 661600.000 .500000000 406.000000 4.57830000 0.0 0.0 8231 2151 889 679200.000 .500000000 2310.00000 4.57830000 0.0 0.0 8231 2151 890 706300.000 .500000000 300.000000 4.57830000 0.0 0.0 8231 2151 891 712000.000 .500000000 303.000000 4.57830000 0.0 0.0 8231 2151 892 723700.000 .500000000 1332.00000 4.57830000 0.0 0.0 8231 2151 893 760400.000 .500000000 1678.00000 4.57830000 0.0 0.0 8231 2151 894 770800.000 .500000000 113.000000 4.57830000 0.0 0.0 8231 2151 895 783000.000 .500000000 347.000000 4.57830000 0.0 0.0 8231 2151 896 797000.000 .500000000 597.000000 4.57830000 0.0 0.0 8231 2151 897 873300.000 .500000000 220.000000 4.57830000 0.0 0.0 8231 2151 898 887200.000 .500000000 1134.00000 4.57830000 0.0 0.0 8231 2151 899 1000000.00 .500000000 36528.0000 4.57830000 0.0 0.0 8231 2151 900 10000000.0 .500000000 1367500.00 4.57830000 0.0 0.0 8231 2151 901 204.200000 .950000000 1 0 888 1488231 2151 902 3357.00000 1.50000000 .235000000 .087000000 0.0 0.0 8231 2151 903 10860.0000 1.50000000 .045000000 .057000000 0.0 0.0 8231 2151 904 11292.0000 .500000000 .030000000 .339570000 0.0 0.0 8231 2151 905 14213.0000 .500000000 .760000000 .137000000 0.0 0.0 8231 2151 906 19734.0000 1.50000000 .710000000 .144000000 0.0 0.0 8231 2151 907 19793.0000 1.50000000 .070000000 .339570000 0.0 0.0 8231 2151 908 21872.0000 1.50000000 .350000000 .181000000 0.0 0.0 8231 2151 909 25103.0000 1.50000000 .230000000 .210000000 0.0 0.0 8231 2151 910 25420.0000 .500000000 51.0000000 .330000000 0.0 0.0 8231 2151 911 32182.0000 1.50000000 .035000000 .339570000 0.0 0.0 8231 2151 912 36210.0000 .500000000 38.8000000 .284000000 0.0 0.0 8231 2151 913 37435.0000 1.50000000 .770000000 .300000000 0.0 0.0 8231 2151 914 39023.0000 1.50000000 .100000000 .339570000 0.0 0.0 8231 2151 915 40654.0000 .500000000 .500000000 .170000000 0.0 0.0 8231 2151 916 42070.0000 1.50000000 .715000000 .800000000 0.0 0.0 8231 2151 917 47480.0000 .500000000 85.2000000 .250000000 0.0 0.0 8231 2151 918 53900.0000 1.50000000 6.20000000 .065000000 0.0 0.0 8231 2151 919 66590.0000 1.50000000 8.00000000 .135000000 0.0 0.0 8231 2151 920 70280.0000 .500000000 10.0000000 .058000000 0.0 0.0 8231 2151 921 78200.0000 1.50000000 11.0000000 .022000000 0.0 0.0 8231 2151 922 86130.0000 .500000000 16.0000000 .050000000 0.0 0.0 8231 2151 923 90130.0000 1.50000000 75.0000000 .110000000 0.0 0.0 8231 2151 924 103560.000 .500000000 65.0000000 .339570000 0.0 0.0 8231 2151 925 111170.000 1.50000000 30.0000000 .060000000 0.0 0.0 8231 2151 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338924 19775.5492 .012093257 19775.8447 .012681243 19776.0417 .0131327818231 3 338925 19776.2387 .013639077 19776.4358 .014207386 19776.6328 .0148449188231 3 338926 19776.8298 .015560650 19777.0268 .016364293 19777.2188 .0172424378231 3 338927 19777.4108 .018225444 19777.6028 .019325578 19777.7948 .0205563568231 3 338928 19777.9868 .021932649 19778.1788 .023470770 19778.3708 .0251885758231 3 338929 19778.5628 .027105555 19778.7548 .029242932 19778.9468 .0316237508231 3 338930 19779.1387 .034271509 19779.3307 .037215901 19779.5227 .0404846278231 3 338931 19779.7147 .044108827 19779.9067 .048121823 19780.0986 .0525567368231 3 338932 19780.2906 .057455963 19780.4826 .062857354 19780.6746 .0688031948231 3 338933 19780.8666 .075337966 19781.0586 .082508291 19781.2121 .0887305848231 3 338934 19781.3913 .096582343 19781.5705 .105107457 19781.7497 .1143494028231 3 338935 19781.9289 .124352739 19782.1081 .135162935 19782.2873 .1468261558231 3 338936 19782.4665 .159389033 19782.6456 .172890601 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80330.8463 .266323499 80331.3910 .281986682 80331.9357 .2989737708231 310261938 80332.4804 .317399866 80333.0250 .337383211 80333.5698 .3590640348231 310261939 80334.1144 .382561456 80334.6591 .408028718 80335.2038 .4356074838231 310261940 80335.7485 .465447600 80336.2491 .494996961 80336.8872 .5358081248231 310261941 80337.5253 .580374347 80338.1633 .628931183 80338.8014 .6817284648231 310261942 80339.4394 .738970019 80340.0775 .800874124 80340.7155 .8675951788231 310261943 80341.2654 .929084047 80341.9579 1.01186793 80342.6505 1.100693638231 310261944 80343.3430 1.19553284 80344.0356 1.29632404 80344.7280 1.402837278231 310261945 80345.5580 1.53768074 80346.3880 1.67965226 80347.6330 1.903815028231 310261946 80350.0400 2.35946733 80351.8660 2.70244651 80353.0280 2.907793218231 310261947 80354.0240 3.07004549 80355.0200 3.21543089 80356.0160 3.340242948231 310261948 80357.0120 3.44117465 80357.9769 3.51357596 80358.9418 3.559079208231 310261949 80359.7925 3.57590536 80360.0000 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3.23937E-4 81098.7000 3.04491E-4 81123.6000 2.86924E-48231 310262000 81148.5000 2.71003E-4 81173.4000 2.56529E-4 81198.3000 2.43347E-48231 310262001 81223.2000 2.31406E-4 81239.8000 2.23888E-4 81273.0000 2.10149E-48231 310262002 81306.2000 1.97849E-4 81343.7575 1.85403E-4 81381.3150 1.74351E-48231 310262003 81412.7513 1.66030E-4 81465.1450 1.53789E-4 81505.0672 1.45575E-48231 310262004 81544.9894 1.38213E-4 81582.9188 1.31923E-4 81620.8482 1.26234E-48231 310262005 81658.2292 1.21154E-4 81714.0265 1.14445E-4 81769.2754 1.08672E-48231 310262006 81827.4271 1.03469E-4 81887.5140 9.88689E-5 81946.4528 9.51100E-58231 310262007 82001.1600 9.21983E-5 82049.5200 9.01171E-5 82097.8800 8.84759E-58231 310262008 82154.3000 8.71632E-5 82202.6600 8.65959E-5 82226.8400 8.65251E-58231 310262009 82263.1100 8.67293E-5 82299.3800 8.73524E-5 82334.6425 8.84309E-58231 310262010 82367.8900 8.99481E-5 82401.1375 9.20853E-5 82431.3625 9.46797E-58231 310262011 82450.5050 9.66806E-5 82469.6475 9.90880E-5 82488.7900 1.01925E-48231 310262012 82507.9325 1.05259E-4 82527.0750 1.09173E-4 82546.2175 1.13810E-48231 310262013 82560.5744 1.17886E-4 82574.4275 1.22353E-4 82588.0288 1.27338E-48231 310262014 82601.6300 1.33003E-4 82615.2313 1.39536E-4 82628.8325 1.47082E-48231 310262015 82642.4338 1.55803E-4 82651.5013 1.62383E-4 82660.5688 1.69705E-48231 310262016 82669.6363 1.77887E-4 82678.7038 1.87045E-4 82687.7713 1.97329E-48231 310262017 82696.8388 2.08929E-4 82705.9063 2.22074E-4 82713.4625 2.34403E-48231 310262018 82719.5075 2.45297E-4 82725.5525 2.57232E-4 82731.5975 2.70356E-48231 310262019 82737.6425 2.84846E-4 82743.6875 3.00895E-4 82749.7325 3.18727E-48231 310262020 82755.7775 3.38608E-4 82761.0669 3.57935E-4 82765.6007 3.76139E-48231 310262021 82770.1344 3.96054E-4 82774.6682 4.17902E-4 82779.2019 4.41940E-48231 310262022 82783.7357 4.68472E-4 82788.2694 4.97854E-4 82792.8032 5.30510E-48231 310262023 82796.7072 5.61634E-4 82799.9816 5.90171E-4 82803.2560 6.21201E-48231 310262024 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153557.092 .020638307 153557.870 .019327118 153558.648 .0181259968231 310263852 153559.426 .017025785 153560.204 .016017879 153561.112 .0149475848231 310263853 153562.085 .013914687 153563.057 .012987736 153564.030 .0121529038231 310263854 153565.003 .011400501 153565.976 .010720992 153566.948 .0101065128231 310263855 153567.921 .009548317 153568.894 .009040474 153569.542 .0087273058231 310263856 153570.838 .008154207 153572.055 .007672866 153573.271 .0072392298231 310263857 153574.487 .006846572 153575.702 .006489850 153576.918 .0061639818231 310263858 153578.134 .005865462 153579.755 .005504531 153581.376 .0051801408231 310263859 153582.997 .004887109 153584.885 .004579751 153586.502 .0043416218231 310263860 153588.119 .004123667 153590.275 .003860413 153592.431 .0036242238231 310263861 153594.587 .003411323 153596.743 .003218611 153598.899 .0030435108231 310263862 153601.055 .002883859 153603.892 .002694281 153606.729 .0025248528231 310263863 153609.566 .002372738 153612.403 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4.72095E-48231 310263901 159877.299 5.02652E-4 159888.786 5.38205E-4 159900.273 5.78294E-48231 310263902 159907.931 6.07928E-4 159915.589 6.40211E-4 159923.247 6.75466E-48231 310263903 159930.905 7.14067E-4 159938.562 7.56443E-4 159947.497 8.11351E-48231 310263904 159956.431 8.73050E-4 159962.387 9.18521E-4 159968.343 9.67923E-48231 310263905 159974.299 .001021712 159980.255 .001080415 159986.211 .0011446408231 310263906 159993.359 .001230033 160000.506 .001325903 160005.271 .0013965218231 310263907 160010.036 .001473205 160014.801 .001556650 160019.566 .0016476468231 310263908 160024.331 .001747110 160030.202 .001882904 160034.116 .0019826418231 310263909 160038.030 .002090697 160041.944 .002208013 160045.858 .0023356618231 310263910 160049.772 .002474860 160053.686 .002627006 160057.175 .0027748468231 310263911 160061.770 .002989407 160066.365 .003229757 160069.428 .0034063048231 310263912 160072.491 .003597544 160075.554 .003805073 160078.617 .0040306968231 310263913 160081.510 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428400.220 .0022337238231 310268276 428415.621 .002322147 428431.022 .002426070 428442.573 .0025163308231 310268277 428454.123 .002619253 428465.673 .002737226 428478.507 .0028895558231 310268278 428487.491 .003012074 428496.475 .003150110 428505.458 .0033062888231 310268279 428514.442 .003483866 428523.426 .003686752 428530.164 .0038583518231 310268280 428536.902 .004049203 428544.281 .004283534 428550.057 .0044880208231 310268281 428555.832 .004713428 428561.608 .004962391 428567.383 .0052376638231 310268282 428573.159 .005542472 428578.934 .005880108 428584.709 .0062542248231 310268283 428589.842 .006620371 428594.334 .006968869 428598.826 .0073452708231 310268284 428605.564 .007965207 428612.302 .008654317 428619.040 .0094130488231 310268285 428625.858 .010247734 428635.162 .011475987 428651.445 .0137143328231 310268286 428658.423 .014611526 428664.279 .015284813 428669.573 .0158043628231 310268287 428674.867 .016217917 428680.162 .016508105 428685.455 .0166620918231 310268288 428688.984 .016685523 428693.436 .016623779 428697.888 .0164623518231 310268289 428702.340 .016206597 428706.792 .015864698 428712.727 .0152932838231 310268290 428718.663 .014616437 428727.566 .013471917 428745.453 .0110554718231 310268291 428752.191 .010198954 428758.929 .009401092 428765.667 .0086702758231 310268292 428772.405 .008009361 428778.181 .007497695 428783.956 .0070344588231 310268293 428789.731 .006616460 428795.506 .006240152 428801.282 .0059017818231 310268294 428807.057 .005597812 428812.832 .005324709 428818.607 .0050792478231 310268295 428824.383 .004858445 428830.158 .004659726 428837.859 .0044249678231 310268296 428845.559 .004220330 428853.260 .004041578 428860.960 .0038851988231 310268297 428868.660 .003748149 428876.360 .003627883 428887.550 .0034787148231 310268298 428898.559 .003357031 428909.568 .003256221 428920.578 .0031731098231 310268299 428931.587 .003105152 428946.266 .003034592 428960.945 .0029834928231 310268300 428975.624 .002948900 428990.302 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433119.222 .004470445 433129.312 .004765859 433139.402 .0050967578231 310268376 433149.342 .005463403 433155.969 .005733807 433162.595 .0060278668231 310268377 433169.222 .006348606 433175.848 .006699327 433182.475 .0070840818231 310268378 433189.101 .007507370 433195.125 .007930252 433200.547 .0083459398231 310268379 433205.968 .008798974 433211.390 .009294252 433216.811 .0098371018231 310268380 433222.233 .010434174 433227.654 .011092848 433233.076 .0118223648231 310268381 433237.782 .012521141 433241.773 .013167952 433245.764 .0138707118231 310268382 433249.755 .014636213 433253.746 .015472332 433257.737 .0163882378231 310268383 433261.728 .017394651 433265.718 .018503886 433269.302 .0196003158231 310268384 433272.480 .020662271 433275.658 .021819219 433278.836 .0230830038231 310268385 433282.013 .024466882 433285.191 .025987647 433288.368 .0276628588231 310268386 433291.546 .029515162 433294.369 .031328908 433296.839 .0330623808231 310268387 433299.309 .034948789 433301.779 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310268400 433408.795 .264311859 433413.132 .243946788 433418.915 .2145055268231 310268401 433424.698 .184699833 433429.036 .163306596 433432.168 .1487642478231 310268402 433434.699 .137687320 433437.228 .127278529 433439.759 .1175513818231 310268403 433442.289 .108529120 433444.939 .099825496 433446.867 .0939623948231 310268404 433448.795 .088481611 433450.723 .083368817 433452.650 .0786101238231 310268405 433454.578 .074182962 433456.506 .070071397 433458.434 .0662565078231 310268406 433460.602 .062297503 433463.012 .058276364 433465.422 .0546209838231 310268407 433467.832 .051297807 433470.241 .048276594 433472.651 .0455257228231 310268408 433475.060 .043020770 433477.470 .040735335 433480.399 .0382231208231 310268409 433482.986 .036220093 433485.572 .034397820 433489.021 .0322151188231 310268410 433492.469 .030280881 433495.918 .028561184 433499.366 .0270293338231 310268411 433502.815 .025661036 433506.263 .024437296 433510.090 .0232275528231 310268412 433513.916 .022155722 433517.742 .021205317 433521.568 .0203627818231 310268413 433525.394 .019616714 433529.220 .018957506 433534.322 .0181997778231 310268414 433539.423 .017566601 433544.524 .017045341 433550.103 .0165919098231 310268415 433556.161 .016226774 433562.218 .015985735 433568.276 .0158633988231 310268416 433571.304 .015845952 433575.966 .015875991 433580.627 .0159758528231 310268417 433585.288 .016147504 433589.949 .016394067 433594.611 .0167199978231 310268418 433599.272 .017130936 433603.933 .017634337 433608.594 .0182394698231 310268419 433612.886 .018896515 433617.177 .019660314 433621.469 .0205444758231 310268420 433625.760 .021564585 433630.052 .022740430 433633.271 .0237382088231 310268421 433636.489 .024847648 433639.707 .026082294 433642.925 .0274573428231 310268422 433645.885 .028861012 433648.845 .030413489 433651.805 .0321319968231 310268423 433654.764 .034035087 433657.724 .036145367 433660.683 .0384848168231 310268424 433663.643 .041080445 433666.602 .043957701 433668.970 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578446.676 .001343675 578462.367 .001404515 578472.827 .0014518628231 310271943 578483.287 .001505384 578493.748 .001565866 578504.208 .0016342308231 310271944 578514.668 .001711606 578525.128 .001799350 578534.659 .0018897068231 310271945 578543.260 .001981038 578551.861 .002083018 578560.461 .0021971998231 310271946 578569.062 .002325484 578577.662 .002470108 578584.113 .0025909618231 310271947 578590.563 .002723919 578597.013 .002870629 578604.742 .0030672718231 310271948 578610.321 .003225444 578615.900 .003399243 578621.479 .0035907978231 310271949 578627.058 .003802617 578632.637 .004037684 578638.216 .0042995618231 310271950 578643.794 .004592482 578647.979 .004835757 578652.163 .0051019918231 310271951 578656.347 .005394306 578660.531 .005716316 578664.715 .0060723108231 310271952 578668.899 .006467414 578673.083 .006907798 578677.267 .0074009518231 310271953 578680.522 .007826892 578683.776 .008295290 578687.030 .0088123738231 310271954 578690.284 .009385374 578693.539 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310271967 578797.211 .160693971 578799.350 .161763489 578801.488 .1621321718231 310271968 578803.720 .161763919 578805.951 .160633331 578808.183 .1587585978231 310271969 578810.414 .156172920 578812.646 .152916906 578815.993 .1468983118231 310271970 578819.340 .139709069 578822.688 .131589453 578827.151 .1197685258231 310271971 578837.192 .091883952 578841.098 .081502201 578843.701 .0749291608231 310271972 578846.305 .068689053 578849.280 .062015223 578851.791 .0567833108231 310271973 578854.301 .051930361 578856.812 .047453078 578859.322 .0433485218231 310271974 578860.995 .040812834 578862.948 .038048041 578864.901 .0354852068231 310271975 578866.854 .033114571 578868.806 .030926770 578870.759 .0289087028231 310271976 578872.711 .027051399 578874.664 .025341926 578876.616 .0237711878231 310271977 578878.500 .022375994 578880.382 .021091577 578882.265 .0199071338231 310271978 578884.148 .018815171 578886.658 .017490172 578889.169 .0162985788231 310271979 578891.679 .015226114 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.001469308 579730.864 .001528702 579739.936 .0015944788231 310272005 579749.008 .001667603 579758.080 .001749240 579767.152 .0018407958231 310272006 579776.224 .001943974 579785.296 .002060867 579792.100 .0021590778231 310272007 579800.416 .002293520 579806.464 .002402831 579812.512 .0025233988231 310272008 579818.560 .002656875 579824.608 .002805242 579830.656 .0029708878231 310272009 579836.704 .003156710 579842.752 .003366276 579847.288 .0035416528231 310272010 579851.824 .003735119 579856.360 .003949395 579860.896 .0041877588231 310272011 579865.432 .004454211 579869.968 .004753685 579873.370 .0050036108231 310272012 579876.772 .005278720 579880.553 .005618703 579883.577 .0059206918231 310272013 579886.601 .006253714 579889.625 .006622608 579892.649 .0070332218231 310272014 579895.673 .007492665 579897.941 .007874443 579900.209 .0082928808231 310272015 579902.477 .008753035 579904.594 .009225374 579906.636 .0097254328231 310272016 579908.676 .010274313 579910.718 .010879551 579912.759 .0115476348231 310272017 579914.800 .012287144 579916.841 .013107436 579918.882 .0140190038231 310272018 579920.923 .015033549 579922.965 .016164625 579925.005 .0174247458231 310272019 579926.895 .018721817 579928.785 .020157214 579930.675 .0217451478231 310272020 579932.565 .023500610 579934.455 .025439256 579936.345 .0275772228231 310272021 579938.235 .029930904 579940.125 .032516682 579941.683 .0348341328231 310272022 579943.240 .037327181 579944.798 .040007159 579946.355 .0428780708231 310272023 579947.913 .045950184 579949.470 .049225059 579951.027 .0527088178231 310272024 579953.189 .057897414 579955.003 .062566790 579957.422 .0692360958231 310272025 579959.841 .076393052 579962.260 .084003852 579965.527 .0949120628231 310272026 579969.882 .110290845 579977.743 .138668959 579980.646 .1486338968231 310272027 579983.549 .157929103 579986.453 .166302585 579989.356 .1735060108231 310272028 579991.624 .178179850 579993.892 .181918224 579995.404 .1838540018231 310272029 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