95-Am-241 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2009 1 0 0 0 95241.0100 238.986000 2 1 0 49543 1451 1 0.0 0.0 0 0 0 69543 1451 2 1.00000000 30000000.0 0 0 10 79543 1451 3 12000.0000 0.0 1 0 469 1149543 1451 4 95-Am-241 LANL EVAL-MAR06 Kawano,Chadwick 9543 1451 5 DIST-DEC06 9543 1451 6 ----ENDF/B-VII MATERIAL 9543 9543 1451 7 -----INCIDENT NEUTRON DATA 9543 1451 8 ------ENDF-6 FORMAT 9543 1451 9 9543 1451 10 **************************************************************** 9543 1451 11 9543 1451 12 P.Young [10/26/06] 9543 1451 13 Modified MF=13,MT=3 continuum x/s following the prescription by 9543 1451 14 H.Trellue and R.Little to correct problems in running MCNPX. Also 9543 1451 15 regridded MF=13,MT=3 summed x/s, added MF=15,MT=3 dummy spectrum 9543 1451 16 at 1.e-5 eV, and corrected gridding problems & inconsistencies 9543 1451 17 between MF=3 and MF=9. 9543 1451 18 9543 1451 19 **************************************************************** 9543 1451 20 Modification to ENDF/B-VI Rev. 2 9543 1451 21 9543 1451 22 MF=3 Neutron Cross Sections 9543 1451 23 MT=2 9543 1451 24 Adjusted to that cross sections sum to total. 9543 1451 25 MT=16,17 9543 1451 26 GNASH calclautions, and the parameters were adjusted to 9543 1451 27 reproduce the experiemtal data of Lougheed [Lo01], 9543 1451 28 Filatenkov [Fi99], and LANL C-INC data. 9543 1451 29 MT=18 9543 1451 30 The SOK code was used for evaluating the fission cross 9543 1451 31 section from 6 to 17 MeV. GNASH calculation was adopted 9543 1451 32 at high energies. 9543 1451 33 MT=102 9543 1451 34 Hauser-Feshbach statistical model calculations, and 9543 1451 35 renormalized to the experimental data of Gayther [Ga77], 9543 1451 36 and Wisshak [Wi80]. 9543 1451 37 MF=9 Multiplicities for production of radioactive elements 9543 1451 38 MT=102 9543 1451 39 Re-evaluated based on the GNASH calculation and 9543 1451 40 experimental data of Shinohara [Si97], and LANL C-INC. 9543 1451 41 9543 1451 42 Fi99 A.A. Filatenkov, RI-252, Khlopin Radium Institute (1999). 9543 1451 43 9543 1451 44 Ga77 D.B. Gayther, B.W. Thomas, Proc. 4th All Union Conf. 9543 1451 45 on Neutron Physics, Kiev, 1977, Vol.3, p.3 (1977). 9543 1451 46 9543 1451 47 Lo01 R.W. Lougheed, et al., UCRL-ID-145592, LLNL (2001). 9543 1451 48 9543 1451 49 Si97 N. Shinohara, et al., J. Nucl. Sci. Technol., 34, 7 (1997). 9543 1451 50 9543 1451 51 Wi80 K. Wisshak, F. Kaeppeler, Nucl. Sci. Eng., 76, 148 (1980). 9543 1451 52 9543 1451 53 **************************************************************** 9543 1451 54 EVALUATION OF n + 241Am REACTIONS 9543 1451 55 9543 1451 56 P. G. Young and D. G. Madland 9543 1451 57 9543 1451 58 Theoretical Division 9543 1451 59 Los Alamos National Laboratory 9543 1451 60 Los Alamos, NM 87545 9543 1451 61 February 23, 1994 9543 1451 62 9543 1451 63 I. SUMMARY 9543 1451 64 9543 1451 65 The cross section data file for neutron reactions with 241Am 9543 1451 66 has been reevaluated over the incident neutron energy range from 9543 1451 67 0.01 to 30 MeV. The evaluation is in ENDF-6 format. Details of 9543 1451 68 the analysis are given in the sections that follow. Some 9543 1451 69 general features of the work are: 9543 1451 70 9543 1451 71 1. The ENDF/B-VI n + 241Am resonance parameters were adopted at 9543 1451 72 neutron energies below 30 keV, suitably joined with the results 9543 1451 73 of the present analysis at 30 keV. 9543 1451 74 9543 1451 75 2. A coupled-channel optical model potential was developed from 9543 1451 76 analyses of nearby actinides that is consistent with 9543 1451 77 measurements of the n + 241Am neutron total cross section. This 9543 1451 78 potential was used to calculate the neutron total cross section, 9543 1451 79 elastic and inelastic scattering cross sections and angular 9543 1451 80 distributions, and reaction cross sections and transmission 9543 1451 81 coefficients for a theoretical analysis of the reaction 9543 1451 82 channels. The direct cross sections from the coupled-channel 9543 1451 83 analysis were combined with compound nucleus calculations at 9543 1451 84 lower energies and with preequilibrium theory calculations at 9543 1451 85 higher energies. Angular distributions for the first 40 excited 9543 1451 86 states of 241Am were obtained from the direct, compound-nucleus, 9543 1451 87 and preequilibrium calculations, and energy-angle correlated 9543 1451 88 distributions are provided for all continuum neutrons. 9543 1451 89 9543 1451 90 3. The evaluated fission and total cross sections were obtained 9543 1451 91 by adjusting the theoretical cross sections as needed to match 9543 1451 92 the available experimental data. 9543 1451 93 9543 1451 94 4. Nubar and the fission neutron spectra were obtained using 9543 1451 95 Madland-Nix theory. 9543 1451 96 9543 1451 97 II. THEORETICAL ANALYSIS 9543 1451 98 9543 1451 99 The primary goal of the theoretical analysis was to provide a 9543 1451 100 consistent set of data for all reactions over the energy range 9543 1451 101 30 keV to 30 MeV. In the case of n+241Am, there are reasonable 9543 1451 102 experimental data available for the neutron total and fission 9543 1451 103 cross sections. Therefore, the function of the theoretical 9543 1451 104 analysis was to provide the elastic, inelastic, (n,2n), (n,3n) 9543 1451 105 and (n,4n) cross sections, as well as the angular and energy 9543 1451 106 distributions of secondary neutrons. To accomplish this, a 9543 1451 107 theoretical analysis was performed, adjusting the relevant 9543 1451 108 parameters to match the total, fission, and (n,g) cross 9543 1451 109 sections. Additionally, a theoretical analysis was performed to 9543 1451 110 obtain the average neutron multiplicity from fission and the 9543 1451 111 energy spectra of fission neutrons as a function of incident 9543 1451 112 energy. 9543 1451 113 9543 1451 114 Coupled-channel deformed optical model calculations were 9543 1451 115 performed with the ECIS code (Ra70) over the incident neutron 9543 1451 116 energy range from 0.001 to 30 MeV. Hauser-Feshbach reaction 9543 1451 117 theory calculations were carried out with the LANL version of 9543 1451 118 the COMNUC code (Du70) at lower energies and the GNASH 9543 1451 119 statistical/preequilibrium code (Yo92) at higher energies to 9543 1451 120 obtain all partial reaction cross section data. Both reaction 9543 1451 121 theory codes used neutron transmission coefficients from the 9543 1451 122 optical model analysis. 9543 1451 123 9543 1451 124 A. Optical Model 9543 1451 125 9543 1451 126 The optical model potential was obtained by considering 9543 1451 127 several coupled-channel parameterizations developed from n + 9543 1451 128 235,238U and 239Pu experimental data (Ma78, Yo88, Yo92a). 9543 1451 129 Parameters were adjusted until a reasonable fit to experimental 9543 1451 130 data for the neutron total cross section of 241Am was obtained. 9543 1451 131 The lowest five members of the 5/2- ground state rotational band 9543 1451 132 were included in the calculations, that is, the 7/2-, 9/2-, 9543 1451 133 11/2- and 13/2- excited states at Ex = 41, 94, 159 and 235 keV 9543 1451 134 were coupled with the 5/2- ground state. 9543 1451 135 9543 1451 136 B. Reaction Theory Calculations 9543 1451 137 9543 1451 138 The Hauser-Feshbach statistical calculations were performed 9543 1451 139 with the COMNUC (Du70) and GNASH (Yo92b) codes. Both codes 9543 1451 140 include a double-humped fission barrier model, using uncoupled 9543 1451 141 oscillators for the barrier representation in GNASH and coupled 9543 1451 142 or uncoupled oscillators in COMNUC, as described by Arthur 9543 1451 143 (Ar82a). The COMNUC calculations include the possibility of 9543 1451 144 width-fluctuation corrections and corrections for class II 9543 1451 145 fluctuations (Ly74), which are needed at lower energies, whereas 9543 1451 146 GNASH provides the preequilibrium corrections that are required 9543 1451 147 at higher energies. Accordingly, COMNUC was used in the 9543 1451 148 calculations below about 2 MeV, utilizing a non-resonant model 9543 1451 149 and including class II fluctuations, and the GNASH code was 9543 1451 150 employed at higher energies using two uncoupled oscillators in 9543 1451 151 the fission calculations. 9543 1451 152 9543 1451 153 Each compound nucleus formed in the calculations is permitted 9543 1451 154 to decay through the fission channel, by neutron emission, and 9543 1451 155 by gamma-ray emission. Neutron transmission coefficients for 9543 1451 156 the Hauser-Feshbach calculations are obtained from the coupled- 9543 1451 157 channel optical model. Gamma ray transmission coefficients are 9543 1451 158 obtained from gamma-ray strength functions calculated with the 9543 1451 159 generalized Lorentzian model of Kopecky and Uhl (Ko90). 9543 1451 160 Transmission coefficients for fission are calculated from the 9543 1451 161 fission model summarized here and detailed in Yo92b. 9543 1451 162 9543 1451 163 Gilbert and Cameron (Gi70) phenomenological level density 9543 1451 164 functions were used to represent continuum levels at ground- 9543 1451 165 state deformations, appropriately matched to available 9543 1451 166 experimental structure data at lower excitation energies. 9543 1451 167 Multiplicative factors were applied to the level density 9543 1451 168 functions to account for enhancements in the fission transition 9543 1451 169 state densities at the fission barriers due to increased 9543 1451 170 asymmetry conditions, and the continuum level densities were 9543 1451 171 matched to the discrete fission transition states at each 9543 1451 172 barrier. The discrete fission transition state spectra were 9543 1451 173 calculated from bandhead information taken from calculations and 9543 1451 174 compilations by Britt (Br82) and by Nagel (Na91). 9543 1451 175 9543 1451 176 9543 1451 177 III. DESCRIPTION OF EVALUATED DATA BASE 9543 1451 178 9543 1451 179 A. Total Cross Section 9543 1451 180 9543 1451 181 The evaluated total cross section below 30 keV is obtained 9543 1451 182 from the resonance parameter evaluation in ENDF/B-VI, suitably 9543 1451 183 matched to the results of the current analysis at 30 keV. From 9543 1451 184 30 keV to 30 MeV, the coupled-channel deformed optical model 9543 1451 185 calculations described above were modified to agree with the 9543 1451 186 experimental data of Phillips (Ph70). 9543 1451 187 9543 1451 188 B. Elastic Cross Section 9543 1451 189 9543 1451 190 The elastic cross section at all energies is obtained from 9543 1451 191 the difference of the total and nonelastic cross sections. 9543 1451 192 Below 30 keV it comes from the ENDF/B-VI resonance parameters 9543 1451 193 and at higher energies it is mainly determined by the coupled- 9543 1451 194 channel optical model calculations. Angular distributions for 9543 1451 195 elastic neutrons were obtained at all energies from the coupled- 9543 1451 196 channel calculations and are given as Legendre expansions. 9543 1451 197 9543 1451 198 C. Fission Cross Section 9543 1451 199 9543 1451 200 The fission cross section was obtained by adjusting the 9543 1451 201 results of the theoretical analysis to optimize agreement with 9543 1451 202 experimental data. At most energies the adjustment was less 9543 1451 203 than a few percent. Above 8 MeV, the theoretical values were 9543 1451 204 used directly. Neutrons from fission are assumed to isotropic 9543 1451 205 in the laboratory system. 9543 1451 206 9543 1451 207 D. Radiative Capture Cross Section 9543 1451 208 9543 1451 209 The radiative capture cross section is calculated using the 9543 1451 210 generalized Lorentzian model of Ko90. The normalization of the 9543 1451 211 strength function was set by requiring the calculated (n,g) 9543 1451 212 cross section be consistent with measured values for 241Am. 9543 1451 213 9543 1451 214 E. Inelastic Neutron Cross Sections 9543 1451 215 9543 1451 216 Discrete (n,n') cross sections are included for the lowest 40 9543 1451 217 excited states of 241Am. The first, second, third, and fifth 9543 1451 218 excited states are members of the K = 5/2 ground-state 9543 1451 219 rotational band and include coupled-channel as well as compound 9543 1451 220 nucleus contributions. The remaining discrete-state cross 9543 1451 221 sections through the 40th excited state are combinations of 9543 1451 222 compound nucleus and preequilibrium contributions and were 9543 1451 223 calculated with the GNASH code. Angular distributions for all 9543 1451 224 the discrete inelastic neutrons are appropriate combinations of 9543 1451 225 the compound nucleus, direct reaction, and preequilibrium 9543 1451 226 contributions and are represented by Legendre expansions. 9543 1451 227 9543 1451 228 The inelastic data corresponding to excitation energies in 9543 1451 229 241Am above 0.508 MeV are given as energy-angle correlated 9543 1451 230 continuous spectra and were calculated with the GNASH code. The 9543 1451 231 results are given in File 6 of the ENDF/B-formatted evaluation 9543 1451 232 (ENDF-6 format) and utilize systematics by Kalbach (Ka88) for 9543 1451 233 angular distribution information, parameterized in terms of 9543 1451 234 preequilibrium ratios calculated in GNASH. 9543 1451 235 9543 1451 236 F. Cross Sections for 241Am(n,xn) Reactions 9543 1451 237 9543 1451 238 The 241Am(n,2n), (n,3n), and (n,4n) cross sections result 9543 1451 239 entirely from the theoretical analysis and GNASH calculations. 9543 1451 240 Energy-angle correlated distributions are given for all the 9543 1451 241 241Am(n,xn) reactions, making use of Kalbach's systematics 9543 1451 242 (Ka88) and the ENDF-6 File 6 representation. 9543 1451 243 9543 1451 244 G. Nubar 9543 1451 245 9543 1451 246 The evaluation of delayed nubar was carried over directly 9543 1451 247 from the ENDF/B-VI evaluation of 241Am. The prompt nubar 9543 1451 248 evaluation was obtained using Madland-Nix theory. 9543 1451 249 9543 1451 250 H. Fission Neutron Spectra 9543 1451 251 9543 1451 252 The fission neutron spectra was determined using Madland-Nix 9543 1451 253 theory and are consistent with nubar. 9543 1451 254 9543 1451 255 9543 1451 256 **************************************************************** 9543 1451 257 9543 1451 258 REFERENCES 9543 1451 259 9543 1451 260 Ar82 E. D. Arthur, "Use of the Statistical Model for the 9543 1451 261 Calculation of Compound Nucleus Contributions to Inelastic 9543 1451 262 Scattering on Actinide Nuclei," Proc. of OECD/NEA Specialists' 9543 1451 263 Meeting on Fast Neutron Scattering on Actinide Nuclei, (Paris, 9543 1451 264 November, 1981), NEANDC-158 "U" (1982) p. 145. 9543 1451 265 9543 1451 266 Ba74 B. B. Back, O. Hansen, H. C. Britt, and J. D. Garrett, 9543 1451 267 "Fission of Doubly Even Actinide Nuclei Induced by Direct 9543 1451 268 Reactions, " Phys. Rev. C 9, 1924 (1974). 9543 1451 269 9543 1451 270 Br82 H. C. Britt, personal communication, 1982. 9543 1451 271 9543 1451 272 Du70 C. L. Dunford, "A Unified Model for Analysis of Compound 9543 1451 273 Nucleus Reactions,"AI-AEC-12931, Atomics Int. (1970). 9543 1451 274 9543 1451 275 Gi65 A. Gilbert and A. G. W. Cameron, "A Composite Nuclear- 9543 1451 276 Level Density Formula with Shell Corrections," Can. J. Phys. 43, 9543 1451 277 1446 (1965). 9543 1451 278 9543 1451 279 Ka88 C. Kalbach, "Systematics of Continuum Angular 9543 1451 280 Distributions: Extensions to Higher Energies," Phys. Rev. C37, 9543 1451 281 2350 (1988); C. Kalbach and F. M. Mann, "Phenomenology of 9543 1451 282 Continuum Angular Distributions. I. Systematics and 9543 1451 283 Parameterization," Phys. Rev. C 23, 112 (1981). 9543 1451 284 9543 1451 285 Ko90 J. Kopecky and M.Uhl, "Test of Gamma-Ray Strength 9543 1451 286 Functions in Nuclear Reaction Model Calculations," Phys. Rev. C 9543 1451 287 42, 1941 (1990). 9543 1451 288 9543 1451 289 Ra70 J. Raynal, "Optical-Model and Coupled-Channel Calculations 9543 1451 290 in Nuclear Physics," IAEA SMR-9/8, Int. At. En. Agency (1970). 9543 1451 291 9543 1451 292 Yo88 P. G. Young and E. D. Arthur, "Calculation of 235U(n,n') 9543 1451 293 Cross Sections for ENDF/B-VI," Int. Conf. on Nucl. Data for 9543 1451 294 Science and Technology, Mito, Japan, May 30 - June 3, 1988 (Ed. 9543 1451 295 S. Igarasi, Saikon Publ. Co., Ltd., 1988) p. 603. 9543 1451 296 9543 1451 297 Yo92a P. G. Young and E. D. Arthur, "Theoretical Analyses of 9543 1451 298 (n,xn) Reactions on 235U, 238U, 237Np, and 239Pu for ENDF/B-VI," 9543 1451 299 Proc. Int. Conf. on Nuclear Data for Science and Technology, 9543 1451 300 Julich, Germany, 13-17 May 1991 (LA-UR-91-1424), [Ed. S. M. 9543 1451 301 Qaim, Springer-Verlag, Germany (1992)], p. 894. 9543 1451 302 9543 1451 303 Yo92b P. G. Young, E. D. Arthur, and M. B. Chadwick, 9543 1451 304 "Comprehensive Nuclear Model Calculations: Introduction to the 9543 1451 305 Theory and Use of the GNASH Code," Los Alamos National 9543 1451 306 Laboratory report LA-12343-MS (1992). 9543 1451 307 9543 1451 308 **************************************************************** 9543 1451 309 *****************************************************************9543 1451 310 9543 1451 311 THE COMMENTS BELOW PERTAIN TO THE PARTS OF THE ENDF/B-VI 9543 1451 312 EVALUATION THAT ARE UTILIZED HERE. 9543 1451 313 9543 1451 314 *****************************************************************9543 1451 315 REVISION 1 CHANGES 9543 1451 316 ENERGY RELEASE PER FISSION FROM ENDF/B-V ADDED 9543 1451 317 9543 1451 318 * * * * * * *9543 1451 319 HISTORY 9543 1451 320 THE ORIGINAL EVALUATION WAS PERFORMED BY 9543 1451 321 GU FUHUA, YU BAOSHENG, ZHOU DELIN, ZHUANG YOUXIANG 9543 1451 322 SHI XIANGJUN, YAN SHIWEI, WANG CUILAN, ZHANG JENGSHANG 9543 1451 323 UNDER THE CONTRACTS BETWEEN IAEA/NDS AND IAE,1985. 1| AND 9543 1451 324 REVISED BY 9543 1451 325 ZHOU DELIN, YU BAOSHENG, LIU TONG 9543 1451 326 SHI XIANGJUN, YAN SHIWEI 9543 1451 327 1988. 2| THE CAPTURE CROSS SECTIONS AND RESONANCE PARAMETERS 9543 1451 328 HAVE BEEN REVIEWED AND REEVALUATED BY ZHOU DELIN ET AL.1988 3|.9543 1451 329 MF=1, GENERAL INFORMATION 9543 1451 330 MT=451, COMMENTS AND DICTIONARY 9543 1451 331 MT=452, TOTAL NUMBER OF NEUTRONS PER FISSION 9543 1451 332 IT IS THE SUM OF DELAY NEUTRONS (MT=455) AND PROMPT 9543 1451 333 NEUTRONS PER FISSION (MT=456). 9543 1451 334 MT=455, T.R.ENGLAND +,LA-11151,LA-11534,LAURA-88-4118 9543 1451 335 MF=2, MT=151, RESONANCE PARAMETERS 9543 1451 336 RESOLVED RESONANCE PARAMETERS FOR SLBW FORMULA IN 1.0E-5 TO 9543 1451 337 1.5E+2 EV RESONANCE ENERGY REGION 9543 1451 338 RESOLVED PARAMETERS WERE RECOMMENDED AS FOLLOWING: 9543 1451 339 IT WAS NOTICED THAT THE PARAMETERS OF THE FIRST SEVERAL WELL 9543 1451 340 DEFINED RESONANCES (0.308, 0,576, 1.276, 1.928, 2.372, 2.358 9543 1451 341 EV, FOR EXAMPLE) GIVEN BY DERRIEN ET AL. 5| (TRANSMISSION), 9543 1451 342 KALEBIN ET AL. 6| (TRANSMISSION) AS WELL AS WESTON ET AL. 7| 9543 1451 343 (ABSORPTION, NOMALIZED TO THERMAL CAPTURE CROSS SECTION OF 582 9543 1451 344 B) RESPECTIVELY ARE IN EXCELLENT AGREEMENT WITH EACH OTHER. 9543 1451 345 THIS FACT MEANS THAT THE RESONANCE PARAMETERS FOR THE FULL 9543 1451 346 RESONANCE ENERGY REGION CAN BE COMBINED BY AVERAGING WEIGHTED 9543 1451 347 WITH RANDOM ERROR ONLY WITHOUT TAKING THE 8% SYSTEMATIC ERROR 9543 1451 348 IN ABSORPTION MEASUREMENT 7| INTO ACCOUNT. SO THAT THE 9543 1451 349 RECOMMENDED VALUES FOR MOST RESONANCES WERE AVERAGED IN EQUAL 9543 1451 350 WEIGHT EXCEPT THOSE FOR WHICH THE RANDOM ERRORS OF WESTON ET 9543 1451 351 AL.'S MEASUREMENT OR/AND THE ERRORS OF KALEBIN ET AL.'S 9543 1451 352 MEASUREMENT ARE MUCH LARGER THAN DERRIEN ET AL.'S, IN SUCH 9543 1451 353 CASES THE AVERAGE WERE MADE WITH UNEQUAL WEIGHTS PROPERLY. 9543 1451 354 UNRESOLVED RESONANCE PARAMETERS IN 1.5E+2 EV TO 30 KEV ENERGY 9543 1451 355 REGION 9543 1451 356 KIKUCH'S PARAMETERS 4| WERE USED AS INPUT DATA AND ADJUSTED 9543 1451 357 TO FIT THE CAPTURE CROSS SECTIONS (EVALUATED ON THE BASES OF 9543 1451 358 WESTON ET AL.'S, VANPRAET ET AL.'S 8|, WISSHAK ET AL.'S 9| 9543 1451 359 AND DERRIEN ET AL.'S MEASUREMENTS) AND FISSION CROSS SECTION 9543 1451 360 OF DABBS 10| (AVERAGED IN PROPER ENERGY RANGE) THEN THE 9543 1451 361 RECOMMENDED UNRESOLVED RESONANCE PARAMETERS WERE OBTAINED. 9543 1451 362 THERMAL ENERGY CROSS SECTIONS 9543 1451 363 FISSION CROSS SECTION THE VALUE OF 3.15 B WAS ADOPTED. 9543 1451 364 CAPTURE CROSS SECTION 620+-13 B, THE WEIGHTED AVERAGED VALUE 9543 1451 365 OF THE FOLLOWING DATA WAS ADOPTED: 9543 1451 366 .KALEBIN: 625+-20 (=640-3.15-11.5, TRANSMISSION); 9543 1451 367 .DOVBENKO ET AL.: 654+-104 (CAPTURE) 11|; 9543 1451 368 .HARBOUR ET AL.: 612+-25 (CAPTURE, DEDUCED RESULT TAKEN FROM 9543 1451 369 AN ANALYSIS BY STORY, 1978. QUOTTED FROM LYNN ET AL.) 12|; 9543 1451 370 .POMERANCE: 625+-35 (QUOTED FROM LYNN ET AL.) 12|; 9543 1451 371 .WISSHAK ET AL.: 625+-35 (ISOMERIC RATIO, INDIRECTLY) 13|; 9543 1451 372 .WESTON ET AL.: 582+-50 (ABSORPTION, A RELATIVE MEASUREMENT 9543 1451 373 NORMALIZED TO THERMAL CAPTURE CROSS SECTION OF 582 B. IT MAY 9543 1451 374 BE CONSIDERED TO NORMALIZE TO DERRIEN'S MEASUREMENT AT FIRST 9543 1451 375 SEVERAL RESONANCES EQUIVALENTLY. THEN THE 8% SYSTEMATIC 9543 1451 376 UNCERTAINTY IN THE ENERGY REGION OF >0.2 EV MUST BE ADDED TO 9543 1451 377 THERMAL VALUE) 3|. 9543 1451 378 MF=4 ANGULAR DISTRIBUTIONS OF SECONDARY NEUTRONS 9543 1451 379 MT=18 ANGULAR DISTRIBUTIONS OF FISSION NEUTRONS 9543 1451 380 ASSUMED ISOTROPIC IN THE LABORATORY SYSTEM. 9543 1451 381 MF=9 9543 1451 382 MT=102 9543 1451 383 THE DATA OF ISOMERIC RATIO HAVE BEEN REVISED BASED ON THE NEW 9543 1451 384 EVALUATION 2! AND THE SHAPE OF THE THEORETICAL CALCULATION OF 9543 1451 385 13! . 9543 1451 386 MF=12,13,14,15 9543 1451 387 THE DATA CALCULATED BY R. HOWERTON (P.C.) FROM MF=2,3,5. 9543 1451 388 MF=32,33 9543 1451 389 THE FILE 32 AND 33 OF ENDF/B-V, REV.2 ARE ADOPTED. BUT THE 9543 1451 390 THE COVARIANCES OF MT=151 OF FILE 32 AND THE COVARIANCES OF 9543 1451 391 MT=18 OF FILE 33 HAVE BEEN MODIFIED PRELIMINARYLY TO MATCH 9543 1451 392 THE PRESENT EVALUATIONS. 9543 1451 393 9543 1451 394 REFERENCES 9543 1451 395 1| GU FUHUA ET AL., NEUTRON DATA EVALUATION FOR AM-241, 9543 1451 396 1985.(UNPUBLISHED). 9543 1451 397 2| THOU DELIN ET AL., NEUTRON DATA EVALUATION FOR AM-241, 9543 1451 398 1988. (UNPUBLISHED). 9543 1451 399 3| ZHOU DELIN , ON THE CAPTURE DATA EVALUATION FOR 9543 1451 400 AM-241, 1988. (TO BE PUBLISHED). 9543 1451 401 4| KIKUCH Y., JAERI-M 82-096, 1982. 9543 1451 402 5| DERRIEN H. ET AL., WASH75 P.637, 1975. 9543 1451 403 6| KALEBIN S. ET AL., A.E. 40, 373 (1976). 9543 1451 404 7| WESTON L. ET AL., NUCL. SCI. ENG., 61, 356 (1976). 9543 1451 405 8| VANPRAET . ET AL., SANTA FE(85), P.493, 1985. 9543 1451 406 9| WISSHAK K. ET AL., NUCL. SCI. ENG., 76, 148 (1980). 9543 1451 407 10| DABBS J. ET AL., NUCL. SCI. ENG., 83, 22 (1983). 9543 1451 408 11| DOVBENKO A. ET AL., LA-TR-71-74, 1971. 9543 1451 409 12| LYNN J. ET AL., PROGRESS IN NUCLEAR ENERGY, V.5, 9543 1451 410 P.255, 1980. 9543 1451 411 HARBOUR R. ET AL., NUCL. SCI. ENG., 50, 364 (1973). 9543 1451 412 POMERANCE H. ORNL-1879, P.50, 1955. 9543 1451 413 13| WISSHAK K. ET AL., NUCL. SCI. ENG., 81, 396 (1982). 9543 1451 414 **************************************************************** 9543 1451 415 ***************** Program LINEAR (VERSION 2009-1) ***************9543 1451 416 For All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 417 Data Linearized Using Energy Dependent Uncertainty 9543 1451 418 Energy Accuracy 9543 1451 419 (eV) (per-cent) 9543 1451 420 ----------- ----------- 9543 1451 421 0.0 .010000000 9543 1451 422 1.00000000 .010000000 9543 1451 423 2.00000000 .100000000 9543 1451 424 20000000.0 .100000000 9543 1451 425 ***************** Program RECENT (VERSION 2009-1) ***************9543 1451 426 for All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 427 Data Linearized Using Energy Dependent Uncertainty 9543 1451 428 Energy Accuracy 9543 1451 429 (eV) (per-cent) 9543 1451 430 ----------- ----------- 9543 1451 431 0.0 .010000000 9543 1451 432 1.00000000 .010000000 9543 1451 433 2.00000000 .100000000 9543 1451 434 20000000.0 .100000000 9543 1451 435 ***************** Program SIGMA1 (VERSION 2009-1) ***************9543 1451 436 Data Doppler Broadened to 1200.00000 Kelvin 9543 1451 437 for All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 438 Data Linearized Using Energy Dependent Uncertainty 9543 1451 439 Energy Accuracy 9543 1451 440 (eV) (per-cent) 9543 1451 441 ----------- ----------- 9543 1451 442 0.0 .010000000 9543 1451 443 1.00000000 .010000000 9543 1451 444 2.00000000 .100000000 9543 1451 445 20000000.0 .100000000 9543 1451 446 ***************** Program SIGMA1 (VERSION 2009-1) ***************9543 1451 447 Data Doppler Broadened to 12000.0000 Kelvin 9543 1451 448 for All Data Greater than 1.0000E-10 barns in Absolute Value 9543 1451 449 Data Linearized Using Energy Dependent Uncertainty 9543 1451 450 Energy Accuracy 9543 1451 451 (eV) (per-cent) 9543 1451 452 ----------- ----------- 9543 1451 453 0.0 .010000000 9543 1451 454 1.00000000 .010000000 9543 1451 455 2.00000000 .100000000 9543 1451 456 20000000.0 .100000000 9543 1451 457 ***************** Program FIXUP (Version 2009-1) ****************9543 1451 458 Corrected ZA/AWR in All Sections-----------------------------Yes 9543 1451 459 Corrected Thresholds-----------------------------------------No 9543 1451 460 Extended Cross Sections to 20 MeV----------------------------No 9543 1451 461 Allow Cross Section Deletion---------------------------------No 9543 1451 462 Allow Cross Section Reconstruction---------------------------Yes 9543 1451 463 Make All Cross Sections Non-Negative-------------------------Yes 9543 1451 464 Delete Energies Not in Ascending Order-----------------------Yes 9543 1451 465 Deleted Duplicate Points-------------------------------------Yes 9543 1451 466 Check for Ascending MAT/MF/MT Order--------------------------Yes 9543 1451 467 Check for Legal MF/MT Numbers--------------------------------Yes 9543 1451 468 Allow Creation of Missing Sections---------------------------No 9543 1451 469 Allow Insertion of Energy Points-----------------------------No 9543 1451 470 Create Uniform Energy Grid-----------------------------------No 9543 1451 471 Delete Section if Cross Section =0 at All Energies-----------Yes 9543 1451 472 **************** Program DICTIN (VERSION 2009-1) ****************9543 1451 473 1 451 587 39543 1451 474 1 452 5 49543 1451 475 1 455 7 49543 1451 476 1 456 5 49543 1451 477 1 458 5 49543 1451 478 2 151 378 49543 1451 479 3 1 4463 49543 1451 480 3 2 467 49543 1451 481 3 4 1991 49543 1451 482 3 16 47 49543 1451 483 3 17 42 49543 1451 484 3 18 1065 49543 1451 485 3 37 30 49543 1451 486 3 51 85 49543 1451 487 3 52 79 49543 1451 488 3 53 77 49543 1451 489 3 54 88 49543 1451 490 3 55 61 49543 1451 491 3 56 86 49543 1451 492 3 57 82 49543 1451 493 3 58 74 49543 1451 494 3 59 59 49543 1451 495 3 60 69 49543 1451 496 3 61 40 49543 1451 497 3 62 52 49543 1451 498 3 63 81 49543 1451 499 3 64 83 49543 1451 500 3 65 46 49543 1451 501 3 66 37 49543 1451 502 3 67 79 49543 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4.64079743 62.42624839543 3 1 1788 4.65065223 65.5287938 4.65525274 66.9814681 4.65707961 67.60447569543 3 1 1789 4.67167204 72.5842956 4.67336179 73.2014879 4.68809135 78.58488689543 3 1 1790 4.68894932 78.9175952 4.69968852 83.0843600 4.70384220 84.70055479543 3 1 1791 4.70451066 84.9608174 4.72613340 93.8848667 4.72618151 93.90593809543 3 1 1792 4.74107438 100.432279 4.74527263 102.272894 4.75215052 105.2960749543 3 1 1793 4.75989044 108.887976 4.78280256 119.526885 4.78430803 120.2275639543 3 1 1794 4.78561402 120.864559 4.81257571 134.023223 4.81642235 135.9017669543 3 1 1795 4.82793581 141.538425 4.83853060 146.934364 4.85368873 154.6589979543 3 1 1796 4.86024286 158.008064 4.88239879 169.336416 4.88619774 171.2802329543 3 1 1797 4.88792714 172.199424 4.90455472 181.062501 4.92216554 190.4577199543 3 1 1798 4.92291171 190.857130 4.92834670 193.893092 4.95213868 207.1966019543 3 1 1799 4.95297057 207.662325 4.95688699 209.987922 4.97676120 221.8255529543 3 1 1800 4.98292807 225.502872 4.98552239 227.054501 4.99428358 232.6791329543 3 1 1801 5.00941941 242.405626 5.01180596 243.944019 5.02932834 256.1127319543 3 1 1802 5.03609604 260.817441 5.03808954 262.207583 5.04732620 269.1783999543 3 1 1803 5.06269298 280.786921 5.06517561 282.668032 5.06579953 283.1794239543 3 1 1804 5.08571208 299.515960 5.08928992 302.454095 5.09219387 304.8455939543 3 1 1805 5.10706386 318.009426 5.11613701 326.048741 5.12065426 330.0599139543 3 1 1806 5.13271372 341.497470 5.13411846 342.831037 5.15813836 365.6847689543 3 1 1807 5.17008136 377.453876 5.20927805 416.173654 5.21973156 426.5129979543 3 1 1808 5.22197171 428.628518 5.24738729 452.612668 5.24921730 454.2019089543 3 1 1809 5.27236137 474.274729 5.27257500 474.436353 5.29650240 492.5030599543 3 1 1810 5.29969272 494.906178 5.30065049 495.495297 5.31812252 506.1986369543 3 1 1811 5.32285103 509.086503 5.33551772 515.120660 5.33658080 515.6238019543 3 1 1812 5.34113840 517.772541 5.35345816 522.009406 5.35825254 523.6492749543 3 1 1813 5.36359103 524.795201 5.37033552 526.216989 5.37419346 527.0227499543 3 1 1814 5.38706761 528.058518 5.39013438 528.300671 5.39460474 528.0650119543 3 1 1815 5.39543366 528.017726 5.40607530 527.392813 5.41495442 525.6345359543 3 1 1816 5.42007033 524.610428 5.42359356 523.889976 5.43137318 521.1267009543 3 1 1817 5.44268917 517.085475 5.44553592 515.636505 5.44779193 514.4773819543 3 1 1818 5.46178478 507.261925 5.46421069 505.664329 5.47434594 498.9718939543 3 1 1819 5.48062944 494.801308 5.48088039 494.634308 5.48394927 492.1977499543 3 1 1820 5.49927281 479.980276 5.49931560 479.940422 5.51275929 467.3967719543 3 1 1821 5.51800176 462.480289 5.52580665 455.148910 5.53945097 440.6039209543 3 1 1822 5.54184028 438.053924 5.55172800 427.458981 5.55856440 419.4458819543 3 1 1823 5.57105676 404.789222 5.58739500 385.561763 5.59273613 379.0215749543 3 1 1824 5.60027323 369.787526 5.63977811 321.263572 5.65462405 302.9910809543 3 1 1825 5.65642910 300.770595 5.68003360 273.039215 5.68336600 269.3400449543 3 1 1826 5.70310006 247.450600 5.70363810 246.854261 5.72283412 227.0053119543 3 1 1827 5.72375512 226.053856 5.73884288 211.485656 5.74104794 209.4929119543 3 1 1828 5.75393064 197.862212 5.75622128 195.941228 5.75940746 193.2719429543 3 1 1829 5.76901841 185.236742 5.77139462 183.405610 5.78410617 173.6210409543 3 1 1830 5.78656796 171.880246 5.79779159 163.953573 5.80003490 162.5015719543 3 1 1831 5.80174130 161.400949 5.81147702 155.129906 5.81691465 151.9415349543 3 1 1832 5.82516245 147.111946 5.82997628 144.562636 5.83884788 139.8707239543 3 1 1833 5.84066233 139.008515 5.84303792 137.885064 5.85253331 133.4010669543 3 1 1834 5.85609956 131.889669 5.86481285 128.202632 5.86916119 126.5736439543 3 1 1835 5.87156280 125.675503 5.88024830 122.444922 5.88346703 121.4087419543 3 1 1836 5.89568375 117.483652 5.89777287 116.907318 5.90246326 115.6161089543 3 1 1837 5.91111920 113.247479 5.91207871 113.025867 5.92306357 110.4946489543 3 1 1838 5.92638454 109.735571 5.92828934 109.301153 5.94202844 106.7284359543 3 1 1839 5.94719418 105.763544 5.95767233 104.166468 5.96457772 103.1167349543 3 1 1840 5.96484545 103.084253 5.97287213 102.128505 5.98718372 100.4291609543 3 1 1841 5.98837107 100.288548 6.00626585 98.6550202 6.00902178 98.40429689543 3 1 1842 6.01591077 97.7903565 6.02885562 96.8938362 6.05144539 95.33480469543 3 1 1843 6.05382136 95.1712455 6.08310428 93.1945733 6.09212081 92.58660519543 3 1 1844 6.09622649 92.2737750 6.12796131 89.8920734 6.15372637 87.58086159543 3 1 1845 6.15962712 86.9717473 6.17718402 85.1575076 6.18777964 83.90282949543 3 1 1846 6.19700543 82.8133245 6.20890935 81.4062077 6.23597001 77.80386849543 3 1 1847 6.23880757 77.4258580 6.27853346 71.6476645 6.27950237 71.50110929543 3 1 1848 6.34538919 61.5328763 6.35673944 59.8163789 6.36931209 58.01966769543 3 1 1849 6.38105860 56.3376707 6.38614803 55.6093005 6.40246024 53.41803849543 3 1 1850 6.40820448 52.6468309 6.42504204 50.5475726 6.43203456 49.67637359543 3 1 1851 6.44762383 47.9103741 6.45675146 46.8772214 6.47020563 45.49048699543 3 1 1852 6.47322940 45.1790787 6.48714198 43.8851800 6.49685019 42.98297099543 3 1 1853 6.50272741 42.5037531 6.51992294 41.1028624 6.52043347 41.06670529543 3 1 1854 6.53813953 39.8139816 6.54299568 39.4707333 6.55584559 38.68595999543 3 1 1855 6.56553335 38.0949639 6.57638482 37.5238567 6.58807102 36.90943159543 3 1 1856 6.59650537 36.5306771 6.61144342 35.8671360 6.61436497 35.73753649543 3 1 1857 6.63590098 34.9112678 6.63606792 34.9048710 6.66035852 34.08057619543 3 1 1858 6.66194451 34.0268220 6.69312719 33.0910178 6.70920128 32.60911319543 3 1 1859 6.71293799 32.5008623 6.72605445 32.1250782 6.76607412 30.97907669543 3 1 1860 6.81456072 29.4746095 6.82712339 29.0469988 6.85702059 28.02891379543 3 1 1861 6.88662563 26.9492724 6.97051587 23.8893012 6.97190312 23.84195189543 3 1 1862 6.99981153 22.8897242 7.00805888 22.6324292 7.02789516 22.01389969543 3 1 1863 7.03517570 21.8092743 7.04661758 21.4878843 7.05998912 21.15451139543 3 1 1864 7.06842219 20.9444224 7.06858657 20.9409079 7.08480253 20.59249239543 3 1 1865 7.08708728 20.5434446 7.10341260 20.2511709 7.10575237 20.20932169543 3 1 1866 7.12202266 19.9802739 7.12441747 19.9466032 7.14072024 19.78269579543 3 1 1867 7.14308255 19.7589887 7.15959285 19.6613971 7.16147965 19.65027989543 3 1 1868 7.17338705 19.6211596 7.17846547 19.6261411 7.19124815 19.63892079543 3 1 1869 7.19733809 19.6704041 7.20950703 19.7335415 7.21621071 19.79700539543 3 1 1870 7.22856144 19.9141557 7.23508332 20.0039952 7.24761586 20.17683599543 3 1 1871 7.25079435 20.2338912 7.26650538 20.5161355 7.26667028 20.51910079543 3 1 1872 7.28572469 20.9375833 7.29007192 21.0493967 7.30477911 21.42793819543 3 1 1873 7.31079751 21.6056563 7.32036377 21.8882824 7.32726716 22.09444109543 3 1 1874 7.33010263 22.1896180 7.34940774 22.8378780 7.34975522 22.84955049543 3 1 1875 7.36871286 23.5477081 7.37224328 23.6777613 7.38801797 24.31099069543 3 1 1876 7.40588267 25.0283201 7.41645529 25.4836600 7.43933664 26.46937599543 3 1 1877 7.44758979 26.8426636 7.47600803 28.1282998 7.48539387 28.55645069543 3 1 1878 7.52921377 30.5557268 7.56210493 32.0565987 7.59536411 33.52186479543 3 1 1879 7.62197145 34.6942329 7.65900000 36.2658330 7.70058691 38.03117569543 3 1 1880 7.70789100 38.3433465 7.75118336 40.1939525 7.79009660 41.85771389543 3 1 1881 7.80049009 42.3261535 7.90445890 47.0132633 7.94747981 48.96326839543 3 1 1882 7.94912072 49.0301315 7.95982717 49.4662678 7.98539560 50.51171459543 3 1 1883 7.98948708 50.6564144 8.01792622 51.6617053 8.02329209 51.81413069543 3 1 1884 8.04979951 52.5665621 8.05428002 52.6572519 8.07759475 53.12867609543 3 1 1885 8.07925817 53.1622750 8.10356559 53.4469461 8.10555096 53.47014869543 3 1 1886 8.12548519 53.5514617 8.13066325 53.5368976 8.14477550 53.49692809543 3 1 1887 8.14584868 53.4938671 8.16452532 53.2875118 8.17300000 53.19180389543 3 1 1888 8.19988304 52.6434314 8.20444403 52.5122348 8.22676607 51.86959309543 3 1 1889 8.23588806 51.5378547 8.25627838 50.7958987 8.26238865 50.53365519543 3 1 1890 8.27685652 49.9053352 8.29104925 49.2888382 8.34517752 46.74127729543 3 1 1891 8.36952518 45.5957407 8.37236742 45.4796938 8.37895608 45.21081459543 3 1 1892 8.39361294 44.6055449 8.40455428 44.1540248 8.42156579 43.60354279543 3 1 1893 8.43122016 43.2914528 8.43889589 43.1188599 8.45402094 42.77922139543 3 1 1894 8.45622599 42.7542277 8.47355608 42.5583866 8.47682172 42.52161739543 3 1 1895 8.48442198 42.4996530 8.49382519 42.5506052 8.50423822 42.60753919543 3 1 1896 8.51409430 42.7723846 8.51910040 42.8563334 8.52760703 43.08692369543 3 1 1897 8.53396258 43.2594551 8.54264568 43.5896877 8.54882476 43.82495679543 3 1 1898 8.55710794 44.2344190 8.55768433 44.2631159 8.56368694 44.56224029543 3 1 1899 8.57272298 45.1195683 8.57878922 45.4940057 8.58776162 46.15774999543 3 1 1900 8.59389149 46.6115054 8.60280027 47.3820161 8.60899377 47.91798339543 3 1 1901 8.61783892 48.7946392 8.62409604 49.4150948 8.63287757 50.39628839543 3 1 1902 8.63919832 51.1028353 8.64744057 52.1268627 8.64791622 52.18621239543 3 1 1903 8.65430059 52.9831338 8.66316703 54.1982845 8.66940287 55.05327979543 3 1 1904 8.67783333 56.3092848 8.68450515 57.3069575 8.68604326 57.55806489543 3 1 1905 8.70601975 60.8207275 8.70891948 61.3377252 8.72753436 64.65778249543 3 1 1906 8.73179571 65.4747598 8.73861885 66.7832688 8.74904897 68.79222299543 3 1 1907 8.75467193 69.9556820 8.78354693 75.9319215 8.78526367 76.31307779543 3 1 1908 8.80026194 79.6438811 8.82361600 84.8501074 8.86190503 93.38720109543 3 1 1909 8.88921335 99.4962861 8.91858535 105.787468 8.92837603 107.7391529543 3 1 1910 8.93194505 108.450445 8.94879655 111.815438 8.97795875 117.0554479543 3 1 1911 8.98096589 117.533402 8.99976396 120.520080 9.02326156 123.7561669543 3 1 1912 9.02393292 123.848590 9.04564022 126.342328 9.07450870 128.8959129543 3 1 1913 9.08464774 129.481253 9.10337718 130.550624 9.14027400 131.3974229543 3 1 1914 9.14100830 131.391574 9.14850652 131.332472 9.16754800 131.1659609543 3 1 1915 9.18302075 130.642226 9.20027680 130.060234 9.21102905 129.4371259543 3 1 1916 9.21869064 128.994126 9.23548824 128.007161 9.24111787 127.6771739543 3 1 1917 9.25639830 126.483277 9.28349164 124.371362 9.28531573 124.2281019543 3 1 1918 9.30377812 122.781733 9.31589215 121.834898 9.32475812 121.1377359543 3 1 1919 9.34573812 119.492320 9.35594839 118.693956 9.37050055 117.7541679543 3 1 1920 9.39526298 116.161464 9.39581038 116.126399 9.41930798 114.9937739543 3 1 1921 9.42016772 114.966464 9.44704734 114.119667 9.44964887 114.0383539543 3 1 1922 9.47392696 113.771048 9.47998976 113.705662 9.50527960 113.9639909543 3 1 1923 9.51109110 114.024702 9.51396498 114.112935 9.54219244 114.9967709543 3 1 1924 9.57697080 116.736391 9.58060733 116.978171 9.61260140 119.1306149543 3 1 1925 9.62023694 119.642566 9.65813186 122.500771 9.66885378 123.3054179543 3 1 1926 9.68810844 124.764456 9.70620750 126.128184 9.71921621 126.9585469543 3 1 1927 9.74053916 128.308374 9.74975837 128.719359 9.77577577 129.8647569543 3 1 1928 9.78244980 130.155182 9.79726841 130.430481 9.81672490 130.7825079543 3 1 1929 9.81876105 130.772553 9.84025369 130.656742 9.84243123 130.6438139543 3 1 1930 9.86542270 129.968444 9.87342588 129.728967 9.88381842 129.1332249543 3 1 1931 9.88705674 128.945074 9.90706469 127.772696 9.90869077 127.6320409543 3 1 1932 9.93753616 125.121041 9.94070349 124.843481 9.96111154 122.5196369543 3 1 1933 9.96638154 121.915814 9.97543557 120.873706 9.99586574 118.0623529543 3 1 1934 9.99612139 118.027061 10.0080290 116.374649 10.0233740 113.9431179543 3 1 1935 10.0500610 109.704346 10.0580949 108.303684 10.0661411 106.8984779543 3 1 1936 10.0937332 102.054386 10.0995153 101.038331 10.1371487 94.26680279543 3 1 1937 10.1742388 87.5664162 10.1897194 84.9260517 10.2081562 81.78476039543 3 1 1938 10.2089527 81.6487225 10.2206804 79.7976250 10.2412848 76.54968309543 3 1 1939 10.2489204 75.4619645 10.2694731 72.5392275 10.2771605 71.55995439543 3 1 1940 10.2917557 69.7041049 10.2956442 69.2660190 10.3137848 67.22582979543 3 1 1941 10.3140383 67.1973714 10.3319254 65.4675808 10.3363209 65.04343449543 3 1 1942 10.3500660 63.9425179 10.3586035 63.2605371 10.3682067 62.65694979543 3 1 1943 10.3808860 61.8627653 10.3863473 61.6094195 10.3886876 61.50136069543 3 1 1944 10.4001494 60.9776400 10.4044879 60.8525315 10.4226285 60.33329809543 3 1 1945 10.4234927 60.3087319 10.4383441 60.1381153 10.4429455 60.08601079543 3 1 1946 10.4516347 60.1201141 10.4617129 60.1611528 10.4623982 60.16442709543 3 1 1947 10.4649252 60.2180174 10.4782157 60.5017751 10.4857415 60.66349969543 3 1 1948 10.4915062 60.8872160 10.5047968 61.4047805 10.5090848 61.57231799543 3 1 1949 10.5180873 62.0773042 10.5313778 62.8244652 10.5341158 62.97874629543 3 1 1950 10.5352533 63.0617600 10.5475726 63.9717612 10.5571221 64.67819699543 3 1 1951 10.5599908 64.8907369 10.5762211 66.3410154 10.5858658 67.20417989543 3 1 1952 10.5953202 68.1859637 10.6093088 69.6403712 10.6144192 70.17660879543 3 1 1953 10.6162660 70.3705903 10.6308218 72.0938678 10.6515167 74.54617799543 3 1 1954 10.6554256 75.0573448 10.6800294 78.2774577 10.6838867 78.78263429543 3 1 1955 10.7054326 81.6236353 10.7308358 84.9749352 10.7589871 88.69039499543 3 1 1956 10.7734241 90.6077103 10.8062097 94.6566752 10.8374192 98.09094369543 3 1 1957 10.8415412 98.5443121 10.8712493 101.306802 10.8713670 101.3177399543 3 1 1958 10.8968646 103.246879 10.8991317 103.379492 10.9205368 104.6298549543 3 1 1959 10.9323433 105.067220 10.9533067 105.841839 10.9609619 105.9582389543 3 1 1960 10.9729746 106.140099 10.9751534 106.172951 10.9970000 106.1122729543 3 1 1961 11.0183103 105.656492 11.0203189 105.612238 11.0206722 105.5977839543 3 1 1962 11.0436377 104.656303 11.0443443 104.614404 11.0669565 103.2717959543 3 1 1963 11.0680165 103.190402 11.0789104 102.353075 11.0902753 101.4707429543 3 1 1964 11.0916886 101.332853 11.1249886 98.0810189 11.1271085 97.83322749543 3 1 1965 11.1534894 94.7472769 11.1570621 94.2721962 11.1595252 93.94290209543 3 1 1966 11.1882321 90.1029189 11.1961380 88.9393105 11.1969177 88.82401419543 3 1 1967 11.2214291 85.1978521 11.2445747 81.5318877 11.2699060 77.51868919543 3 1 1968 11.2748410 76.7165971 11.3540954 63.7737380 11.3573772 63.23557779543 3 1 1969 11.3615400 62.5530797 11.3986582 56.7427749 11.4008645 56.41480639543 3 1 1970 11.4284915 52.3091962 11.4367338 51.1547829 11.4583248 48.13167039543 3 1 1971 11.4654292 47.1958556 11.4806997 45.1850126 11.4941246 43.51840009543 3 1 1972 11.5030746 42.4076853 11.5192817 40.5357661 11.5302160 39.27322369543 3 1 1973 11.5372649 38.5153390 11.5483102 37.3280804 11.5552481 36.62631109543 3 1 1974 11.5664044 35.4981622 11.5732313 34.8495703 11.5836453 33.86046439543 3 1 1975 11.5902502 33.2708786 11.6000328 32.3978859 11.6072691 31.79145599543 3 1 1976 11.6164203 31.0247776 11.6242880 30.4071648 11.6328078 29.73856749543 3 1 1977 11.6413068 29.1149676 11.6491953 28.5363451 11.6583257 27.91145349543 3 1 1978 11.6655828 27.4149332 11.6753445 26.7929715 11.6819703 26.37095279543 3 1 1979 11.6923634 25.7556509 11.6983578 25.4008859 11.7093822 24.80181729543 3 1 1980 11.7174802 24.3619423 11.7193035 24.2636157 11.7304697 23.71603239543 3 1 1981 11.7384315 23.3257663 11.7515571 22.7396067 11.7575595 22.47165649543 3 1 1982 11.7656154 22.1465838 11.7788559 21.6124977 11.7838269 21.43278369543 3 1 1983 11.8001523 20.8428354 11.8020384 20.7807967 11.8143499 20.37601989543 3 1 1984 11.8202499 20.1987279 11.8333376 19.8056281 11.8384614 19.66724609543 3 1 1985 11.8523252 19.2930061 11.8595298 19.1188278 11.8713128 18.83412279543 3 1 1986 11.8805980 18.6341696 11.8827927 18.5869349 11.8903004 18.42792879543 3 1 1987 11.9011184 18.2271049 11.9118368 18.0282496 11.9205430 17.88933639543 3 1 1988 11.9333731 17.6847543 11.9399676 17.5956609 11.9549095 17.39393599543 3 1 1989 11.9593922 17.3437347 11.9764458 17.1529100 11.9788168 17.13168529543 3 1 1990 11.9982413 16.9579710 11.9988375 16.9526450 12.0212291 16.80178879543 3 1 1991 12.0240506 16.7888056 12.0436207 16.6989678 12.0498599 16.68342459543 3 1 1992 12.0660123 16.6433297 12.0670661 16.6426825 12.0837593 16.63257809543 3 1 1993 12.0928754 16.6421211 12.1015062 16.6512483 12.1186847 16.69794079543 3 1 1994 12.1192531 16.6994907 12.1354425 16.7707605 12.1358909 16.77285249543 3 1 1995 12.1370000 16.7780350 12.1553571 16.8998331 12.1602929 16.93262279543 3 1 1996 12.1748233 17.0620458 12.1835858 17.1401674 12.1942895 17.26027379543 3 1 1997 12.2068786 17.4016431 12.2137556 17.4949925 12.2301714 17.71796409543 3 1 1998 12.2332218 17.7666442 12.2526880 18.0774668 12.2534643 18.08986909543 3 1 1999 12.2721542 18.4362717 12.2799460 18.5807674 12.2990952 18.98951039543 3 1 2000 12.3080223 19.1801581 12.3215198 19.5067377 12.3360985 19.85964179543 3 1 2001 12.3514192 20.2677113 12.3575055 20.4298957 12.3813187 21.12372849543 3 1 2002 12.3896160 21.3655765 12.3928561 21.4688849 12.4112181 22.06104959543 3 1 2003 12.4217265 22.4000626 12.4525650 23.4678113 12.4539582 23.51606399543 3 1 2004 12.4939119 24.9844361 12.4969338 25.0955147 12.5676969 27.78600519543 3 1 2005 12.6096580 29.3960912 12.6099118 29.4051908 12.6474300 30.74996119543 3 1 2006 12.6484734 30.7873465 12.6829064 31.9094605 12.6860366 32.01141379543 3 1 2007 12.7189043 32.9503206 12.7210956 33.0043424 12.7272592 33.15616189543 3 1 2008 12.7433273 33.5535925 12.7558206 33.8130683 12.7702615 34.11268829543 3 1 2009 12.7843686 34.3434022 12.7956376 34.5274404 12.8187320 34.80311819543 3 1 2010 12.8194554 34.8117353 12.8432733 34.9899632 12.8488660 35.00489459543 3 1 2011 12.8700684 35.0609914 12.8790000 35.0403509 12.8951383 35.00270009543 3 1 2012 12.9043204 34.9317563 12.9274149 34.7528662 12.9296408 34.72267409543 3 1 2013 12.9509158 34.4336965 12.9549612 34.3773569 12.9596914 34.31139649543 3 1 2014 12.9802815 33.9133558 12.9919679 33.6871970 13.0207664 32.98341959543 3 1 2015 13.0284181 32.7962744 13.0556863 32.0015055 13.0682074 31.63637119543 3 1 2016 13.0866817 31.0321583 13.0971449 30.6850294 13.1043793 30.44493949543 3 1 2017 13.2207556 26.2578237 13.2248305 26.1112562 13.2330679 25.81091619543 3 1 2018 13.2523530 25.1454147 13.2675009 24.6228932 13.2889223 23.94100599543 3 1 2019 13.3019337 23.5270403 13.3133018 23.1982913 13.3255906 22.84311579543 3 1 2020 13.3376813 22.5275112 13.3492475 22.2258115 13.3612027 21.95176569543 3 1 2021 13.3729044 21.6837736 13.3847240 21.4545928 13.3965613 21.22534709543 3 1 2022 13.4082453 21.0410852 13.4171970 20.9001182 13.4258863 20.79478239543 3 1 2023 13.4378326 20.6502218 13.4435273 20.6034731 13.4584682 20.48117299543 3 1 2024 13.4611684 20.4703260 13.4788093 20.3999139 13.4791038 20.39874679543 3 1 2025 13.4945806 20.3974704 13.4964503 20.4038970 13.5100573 20.45108129543 3 1 2026 13.5140913 20.4800157 13.5255340 20.5624528 13.5303087 20.61548669543 3 1 2027 13.5410107 20.7346762 13.5436790 20.7753738 13.5528185 20.91503649543 3 1 2028 13.5564874 20.9729214 13.5570493 20.9844074 13.5704195 21.25812389543 3 1 2029 13.5741612 21.3348477 13.5837898 21.5848042 13.5929335 21.82249449543 3 1 2030 13.5971600 21.9577618 13.6105303 22.3861742 13.6117057 22.42388359543 3 1 2031 13.6239005 22.8937134 13.6245207 22.9176344 13.6304780 23.15127949543 3 1 2032 13.6372708 23.4565503 13.6429929 23.7139638 13.6506410 24.09502899543 3 1 2033 13.6555077 24.3377472 13.6640113 24.8084278 13.6699226 25.13591469543 3 1 2034 13.6723222 25.2847138 13.6762787 25.5331818 13.6862376 26.15917009543 3 1 2035 13.6919000 26.5573277 13.7025525 27.3070990 13.7075213 27.69629979543 3 1 2036 13.7188674 28.5858601 13.7201236 28.6940125 13.7231426 28.95721209543 3 1 2037 13.7323408 29.7598427 13.7387639 30.3720265 13.7482888 31.28064159543 3 1 2038 13.7543852 31.9184974 13.7642368 32.9501353 13.7682623 33.41108539543 3 1 2039 13.7700065 33.6129656 13.7801848 34.7920097 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10.0080290 103.109533 10.0500610 96.61233139543 310212401 10.0995153 88.2007160 10.1742388 75.1765239 10.2089527 69.47627829543 310212402 10.2412848 64.5859924 10.2694731 60.7503577 10.2917557 58.04855469543 310212403 10.3140383 55.6696897 10.3363209 53.6374399 10.3586035 51.97063319543 310212404 10.3808860 50.6832575 10.4001494 49.8832834 10.4234927 49.30735109543 310212405 10.4429455 49.1569002 10.4623982 49.3030735 10.4857415 49.86199639543 310212406 10.5090848 50.8251934 10.5341158 52.2841266 10.5599908 54.22258079543 310212407 10.5858658 56.5560667 10.6162660 59.7338272 10.6515167 63.88937139543 310212408 10.7734241 79.7564924 10.8062097 83.7186247 10.8415412 87.51289929543 310212409 10.8713670 90.2088819 10.8968646 92.0734440 10.9205368 93.39818569543 310212410 10.9533067 94.5317690 10.9751534 94.8124211 10.9970000 94.70298849543 310212411 11.0203189 94.1541221 11.0436377 93.1649600 11.0669565 91.74904979543 310212412 11.0902753 89.9271429 11.1249886 86.5231910 11.1534894 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13.9373784 53.8885020 13.9560273 58.6893284 13.9746762 63.85073119543 310212451 13.9933251 69.3821190 14.0119740 75.2908911 14.0306228 81.58209049543 310212452 14.0502730 88.6275832 14.0709244 96.4918113 14.0915758 104.8217399543 310212453 14.1122272 113.606572 14.1380775 125.218328 14.1691267 140.0075599543 310212454 14.2094927 160.433604 14.2594040 187.104882 14.3608852 242.7947559543 310212455 14.4123854 269.567081 14.4440590 284.784641 14.4819427 301.2453159543 310212456 14.5136964 313.257391 14.5397655 321.712783 14.5700267 329.7676359543 310212457 14.5958667 335.037663 14.6217066 338.747978 14.6518533 341.0402129543 310212458 14.6669267 341.351834 14.6992267 340.145663 14.7250668 337.3672069543 310212459 14.7509067 333.029261 14.7853601 324.949414 14.8198134 314.4628039543 310212460 14.8525173 302.545927 14.8817219 290.525705 14.9166463 274.7671809543 310212461 14.9677879 249.767738 15.0763293 194.371094 15.1232679 171.5359829543 310212462 15.1531505 157.836895 15.1816233 145.540443 15.2100961 134.0752009543 310212463 15.2385689 123.510129 15.2631328 115.155799 15.2837877 108.6911079543 310212464 15.3040725 102.846296 15.3239873 97.5949831 15.3439020 92.82345389543 310212465 15.3638168 88.5259126 15.3813696 85.1244533 15.4041559 81.23644839543 310212466 15.4269422 77.9272747 15.4450782 75.6932998 15.4661594 73.52583399543 310212467 15.4878607 71.7581840 15.5101819 70.4093749 15.5292542 69.61742989543 310212468 15.5529891 69.0743947 15.5688124 68.9734733 15.5846357 69.07308919543 310212469 15.6107268 69.6573345 15.6368179 70.7398059 15.6629090 72.29435379543 310212470 15.6890000 74.2971632 15.7157856 76.7967947 15.7425711 79.72414799543 310212471 15.7693566 83.0585670 15.7961421 86.7797704 15.8271439 91.54236789543 310212472 15.8581457 96.7610452 15.8999981 104.461422 15.9446988 113.4022679543 310212473 15.9845981 121.879498 16.1359254 155.620178 16.1990790 168.8289069543 310212474 16.2415863 176.849371 16.2757540 182.612641 16.3157512 188.4364089543 310212475 16.3488124 192.403301 16.3880000 196.018154 16.4226806 198.1745849543 310212476 16.4747014 199.504694 16.5093819 199.112841 16.5421534 197.8200129543 310212477 16.5884472 194.531181 16.6216091 191.189635 16.6706990 184.8850199543 310212478 16.7184833 177.402063 16.7662676 168.849548 16.8129025 159.7325499543 310212479 16.9990982 120.815773 17.0434934 112.019379 17.0855104 104.1759759543 310212480 17.1211852 97.9615165 17.1614845 91.4961411 17.1961683 86.43764779543 310212481 17.2240481 82.7235825 17.2566851 78.7786001 17.2913480 75.05918009543 310212482 17.3228038 72.0895545 17.3621379 68.8868645 17.4043308 66.02350099543 310212483 17.4409426 63.9554206 17.4835820 61.9470835 17.5263255 60.26331569543 310212484 17.7019728 54.5279819 17.7499075 52.7466914 17.7917223 50.98704209543 310212485 17.8465388 48.3493417 17.8804478 46.5262257 17.9287262 43.69491569543 310212486 17.9922521 39.6182424 18.1670659 27.5757271 18.2137450 24.49559639543 310212487 18.2554994 21.8918034 18.2833357 20.2545041 18.3111720 18.70686879543 310212488 18.3382043 17.2970683 18.3652365 15.9849313 18.3929619 14.74544749543 310212489 18.4220735 13.5639268 18.4414813 12.8460042 18.4608890 12.18459529543 310212490 18.4859069 11.4158807 18.5109247 10.7417919 18.5276032 10.34481199543 310212491 18.5442818 9.98950587 18.5609603 9.67555993 18.5776389 9.402568839543 310212492 18.5943174 9.17005699 18.6116025 8.97121169 18.6288875 8.814559129543 310212493 18.6461726 8.69933233 18.6634576 8.62469663 18.6893852 8.586853449543 310212494 18.7066702 8.60959200 18.7239552 8.66946677 18.7454430 8.793963089543 310212495 18.7582883 8.89400305 18.7839788 9.14913719 18.8096693 9.473953479543 310212496 18.8353598 9.86368729 18.8610504 10.3132313 18.8867409 10.81712279543 310212497 18.9124314 11.3695533 18.9381219 11.9643679 18.9831021 13.08816019543 310212498 19.1396341 17.3110966 19.1975120 18.7580939 19.2412359 19.72838039543 310212499 19.2855903 20.5692728 19.3199387 21.1039853 19.3590659 21.57527529543 310212500 19.3952222 21.8715920 19.4284074 22.0216186 19.4555106 22.05673219543 310212501 19.4870422 21.9996923 19.5290843 21.7653031 19.5725279 21.34559539543 310212502 19.6187742 20.7227358 19.6627783 19.9884720 19.7223381 18.82899309543 310212503 19.8919633 15.1479436 19.9463979 14.0468569 19.9903643 13.23854459543 310212504 20.0223482 12.7055574 20.0570050 12.1856822 20.0907064 11.74064149543 310212505 20.1234523 11.3666798 20.1603240 11.0143843 20.2013215 10.70575659543 310212506 20.2357177 10.5107051 20.2774101 10.3460395 20.3191026 10.25140629543 310212507 20.3680217 10.2156791 20.4030433 10.2306058 20.4730866 10.33219129543 310212508 20.6544532 10.7249240 20.7241036 10.8179788 20.7807489 10.84396289543 310212509 20.8473680 10.8120134 20.9202314 10.7045243 21.0018116 10.51554399543 310212510 21.1646229 10.0739279 21.2438981 9.90718325 21.3102219 9.821239189543 310212511 21.3834659 9.79308991 21.4458327 9.82471507 21.5315153 9.942755059543 310212512 21.5993914 10.0873649 21.6884231 10.3349977 21.7669607 10.61308229543 310212513 21.8208821 10.8496403 21.8682095 11.1017501 21.9089429 11.36368569543 310212514 21.9543774 11.7198157 21.9919791 12.0783937 22.0295808 12.50740509543 310212515 22.0505598 12.7820543 22.0891891 13.3631536 22.1181611 13.87041539543 310212516 22.1471331 14.4457586 22.1761051 15.0952361 22.2050770 15.82466929543 310212517 22.2375211 16.7431692 22.2699650 17.7757548 22.3024090 18.92843299543 310212518 22.3348530 20.2060077 22.3672970 21.6118832 22.3977548 23.05008209543 310212519 22.4173979 24.0385378 22.4578954 26.2255048 22.4983929 28.60747509543 310212520 22.5372851 31.0679661 22.5761772 33.6830286 22.6385430 38.14968739543 310212521 22.7119089 43.7112259 22.8486989 54.2816447 22.9131503 59.01591599543 310212522 22.9638654 62.5001881 23.0223280 66.1765100 23.0754847 69.15759899543 310212523 23.1233354 71.5295874 23.1951114 74.5460365 23.2429620 76.23102469543 310212524 23.3199267 78.5157309 23.5225450 83.6753871 23.6262070 86.82691329543 310212525 23.7287952 90.5592048 23.8856972 96.5657408 23.9510248 98.60118839543 310212526 24.0190215 100.038346 24.0807905 100.523935 24.1284517 100.2624849543 310212527 24.1761130 99.3953048 24.2235200 97.9129965 24.2708000 95.82833049543 310212528 24.3180799 93.1758484 24.3691728 89.7466948 24.4342462 84.71314979543 310212529 24.5968633 70.8592378 24.6601367 65.8692892 24.7109945 62.35521849543 310212530 24.7528336 59.9032064 24.7842130 58.3661834 24.8119917 57.24127459543 310212531 24.8466297 56.1672307 24.8812676 55.4726856 24.9159055 55.16609009543 310212532 24.9332244 55.1587840 24.9678623 55.4329474 25.0025002 56.08237159543 310212533 25.0371381 57.0890247 25.0717760 58.4281332 25.1124416 60.38254029543 310212534 25.1531071 62.6932068 25.2083261 66.2796205 25.3961028 79.92918949543 310212535 25.4641382 84.4492748 25.5205952 87.7005489 25.5691973 90.05056399543 310212536 25.6177994 91.9434834 25.6673833 93.3892569 25.7174582 94.36255709543 310212537 25.7838565 94.9599928 25.8083417 95.0033525 25.8825334 94.66179529543 310212538 25.9708963 93.5945005 26.4375024 86.0660498 26.5171960 84.39990709543 310212539 26.5968895 82.3191609 26.6795209 79.6733023 26.7621523 76.58156339543 310212540 26.9851326 67.4769040 27.0642539 64.6785267 27.1266034 62.86409489543 310212541 27.1843918 61.5562159 27.2436933 60.6196466 27.3076110 60.07436839543 310212542 27.3555493 59.9656599 27.4201204 60.1810883 27.5052303 60.97461569543 310212543 27.6287140 62.7452013 27.7804140 65.0811923 27.8858412 66.38568839543 310212544 28.0055564 67.3568170 28.0966993 67.7286138 28.1830846 67.83177689543 310212545 28.3550000 67.5399701 28.9295541 65.3828753 29.0279459 64.82477579543 310212546 29.1394298 63.8726822 29.2129756 62.9686674 29.2792036 61.91587449543 310212547 29.3480499 60.5491503 29.4128548 58.9933703 29.5040000 56.37003109543 310212548 29.5930157 53.3819939 29.8087408 45.4099280 29.8785523 43.04613919543 310212549 29.9383073 41.2944298 29.9781439 40.3146759 30.0179805 39.51620919543 310212550 30.0658290 38.8312960 30.1077242 38.5054078 30.1356544 38.44164859543 310212551 30.1713703 38.5488935 30.2039967 38.8389043 30.2366230 39.31715869543 310212552 30.2744479 40.1105373 30.3122727 41.1606097 30.3490006 42.42221619543 310212553 30.3835348 43.8193342 30.4295804 45.9834080 30.4829401 48.88421189543 310212554 30.5309509 51.8059536 30.5923791 55.8829489 30.7998523 70.60884979543 310212555 30.8663618 74.9308091 30.9207812 78.0735370 30.9752005 80.75640889543 310212556 31.0173419 82.4644624 31.0594833 83.8147997 31.1016247 84.78288169543 310212557 31.1437660 85.3517299 31.1788868 85.5139739 31.2348021 85.18538069543 310212558 31.2763911 84.4814464 31.3179801 83.4006862 31.3595691 81.96351419543 310212559 31.4208240 79.2533647 31.4612845 77.1183078 31.5287186 73.05062929543 310212560 31.5857040 69.2192037 31.6810695 62.2823779 31.8653725 48.40425509543 310212561 31.9437219 42.7876772 32.0094519 38.3435228 32.0644387 34.84871219543 310212562 32.1222702 31.4119034 32.1801016 28.2309053 32.2350280 25.45121809543 310212563 32.2819348 23.2643385 32.3232430 21.4804812 32.3613736 19.95103679543 310212564 32.4022279 18.4361829 32.4430822 17.0484275 32.4703183 16.19342039543 310212565 32.5020939 15.2665132 32.5338694 14.4154118 32.5633753 13.69284329543 310212566 32.5928811 13.0354632 32.6223870 12.4432918 32.6518928 11.91641729543 310212567 32.6790769 11.4889044 32.7062610 11.1170579 32.7334451 10.80102269543 310212568 32.7606292 10.5409467 32.7878133 10.3369688 32.8149974 10.18920539543 310212569 32.8421815 10.0977367 32.8693656 10.0625936 32.9026167 10.09613769543 310212570 32.9358678 10.2136783 32.9691189 10.4147811 33.0023700 10.69876129543 310212571 33.0356211 11.0646469 33.0601793 11.3867195 33.0871281 11.78998759543 310212572 33.1140770 12.2444356 33.1545002 13.0194457 33.1944940 13.89227119543 310212573 33.2344877 14.8650698 33.2789252 16.0553754 33.3233626 17.35100529543 310212574 33.3733548 18.9200845 33.4400110 21.1648172 33.5197902 24.01775989543 310212575 33.7088578 30.9931590 33.8077638 34.4547387 33.8850910 36.94632669543 310212576 33.9587353 39.0948630 34.0323795 40.9983479 34.1046167 42.61773339543 310212577 34.1768538 43.9955863 34.2527894 45.1993587 34.3361216 46.26081579543 310212578 34.4155101 47.0518518 34.5290980 47.8667193 34.6316962 48.32178909543 310212579 34.7523580 48.5291017 34.8435830 48.4354958 34.9280000 48.13938079543 310212580 35.0233097 47.5517039 35.1186193 46.7053036 35.2430430 45.29489149543 310212581 35.3949383 43.4359157 35.4933733 42.4605094 35.5541146 42.07996109543 310212582 35.6148559 41.9492706 35.6582066 42.0474646 35.7044137 42.36002609543 310212583 35.7463151 42.8533998 35.7839109 43.4839656 35.8266298 44.43450379543 310212584 35.8744719 45.8159236 35.9191127 47.4244740 35.9647118 49.39906349543 310212585 36.0103108 51.7157756 36.0548163 54.3074400 36.0971347 57.06902969543 310212586 36.1394531 60.1090826 36.1888323 63.9850276 36.2241053 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