95-Am-243 ENDF/B-VII.1 Processed by Red Cullen using PREPRO2012 7100 0 0 0 95243.0000 240.973400 2 1 0 09549 1451 1 0.0 1.00000000 0 0 0 69549 1451 2 1.00000000 30000000.0 1 0 10 79549 1451 3 1800.00000 0.0 1 0 591 699549 1451 4 95-Am-243 LANL,BNL EVAL-JUL11 S.F. Mughabghab,P.G.Young, Talou 9549 1451 5 DIST-DEC06 20111222 9549 1451 6 ----ENDF/B-VII.1 MATERIAL 9549 9549 1451 7 -----INCIDENT NEUTRON DATA 9549 1451 8 ------ENDF-6 FORMAT 9549 1451 9 9549 1451 10 ============================================================== 9549 1451 11 Covariances - BNL, July, 2011: Covariances were adopted from 9549 1451 12 COMMARA-2.0, which were supplied by BNL. Covariances are 9549 1451 13 combination of the uncertainties recommended in the assessment of 9549 1451 14 Ref. [1] and correlation matrices produced by the WPEC Subgroup 9549 1451 15 26 [2] converted to the AFCI 33-energy group structure. 9549 1451 16 9549 1451 17 Following the low-fidelity approach, the uncertainties in the 9549 1451 18 low energy region are based on experimental uncertainties of 9549 1451 19 thermal cross sections, uncertainties of the resonance integrals 9549 1451 20 and uncertainty of the scattering radius. 9549 1451 21 9549 1451 22 In the fast region the initial estimates [2] were obtained using 9549 1451 23 EMPIRE/KALMAN system with default parameterization roughly 9549 1451 24 adjusted to reproduce trends in the experimental data. The KALMAN 9549 1451 25 code was run with default uncertainties assigned to the key model 9549 1451 26 parameters to produce covariances. The assessment [2] modified 9549 1451 27 considerably elastic uncertainties, slightly increased fission 9549 1451 28 uncertainties above 6 MeV, reduced those of inelastic, doubled 9549 1451 29 (n,2n) uncertainties, and essentially confirmed capture and 9549 1451 30 nu-bar uncertainties. 9549 1451 31 9549 1451 32 [1] V.M. Maslov, P. Oblozinsky, M. Herman, "Review and Assessment 9549 1451 33 of Neutron Cross Section and Nu-bar Covariances for Advanced 9549 1451 34 Reactor Systems," Report BNL-81884-2008-IR, Brookhaven 9549 1451 35 National Laboratory (2008). 9549 1451 36 9549 1451 37 [2] D. Rochman, M. Herman, P. Oblozinsky, and S. F. Mughabghab, 9549 1451 38 "Preliminary Cross Section Covariances for WPEC Subgroup 26," 9549 1451 39 Report BNL-77407-2007-IR, Brookhaven National Laboratory (2007). 9549 1451 40 9549 1451 41 ---------------------------------------------------------------- 9549 1451 42 MODIFICATION TO ENDF/B-VII.1,BETA3: M.Chadwick,P.Young,P.Talou 9549 1451 43 The MF8,MT16 metastable cross section was renormalized so that 9549 1451 44 the value at 14.0 MeV is 0.16 b. This was done to make the data 9549 1451 45 more consistent with other similar actinides. V. Maslov has 9549 1451 46 presented arguments that the cross section should be approximately9549 1451 47 that value near 14 MeV. Appropriate changes were made to MF3, 9549 1451 48 MT2 and MT16 so the cross sections appropriately sum. 9549 1451 49 9549 1451 50 ---------------------------------------------------------------- 9549 1451 51 THERMAL REGION 9549 1451 52 9549 1451 53 Evaluation, July 2011 by S. F. Mughabghab (BNL) 9549 1451 54 9549 1451 55 A new evaluation for the thermal, resonance and unresolved 9549 1451 56 resonance regions is carried out for version ENDF/B.VII.1, 9549 1451 57 motivated by the results of the analysis of Palmiotti and Hiruta 9549 1451 58 [Pu11], where a 16.6% discrepancy was observed between measured 9549 1451 59 and calculated capture reaction rates for Am-243, when the 9549 1451 60 ENDF/BVII.0 was used in the calculations. 9549 1451 61 A detailed analysis and careful examination of measured and 9549 1451 62 evaluated capture cross sections of ENDF/B.VII.0 in the thermal, 9549 1451 63 resonance and unresolved energy regions revealed that the source 9549 1451 64 of the discrepancy 9549 1451 65 is generated by the thermal capture cross section adopted by 9549 1451 66 Weston and Todd [We85] in their measurements, as well as the 9549 1451 67 calculated capture cross section values, generated by the nuclear 9549 1451 68 model in the energy region 40-800 keV. 9549 1451 69 9549 1451 70 Based on recent thermal capture cross section measurements of 9549 1451 71 Marie et al. [Ma06], thermal reactor cross section of Ohta et 9549 1451 72 al. [Oh06], as well as an earlier pile neutron cross section 9549 1451 73 measurement of Butler et al. [Bu56]( corrected for the presently 9549 1451 74 evaluated resonance integral) an evaluated 2200 m/s cross 9549 1451 75 section of 80.4-+2.1 b is derived in the present analysis. 9549 1451 76 This is to be compared with an Atlas [Mu06] and ENDF/B.VII.0 9549 1451 77 values of 75.1-+1.8 b and 75.11 b, respectively. 9549 1451 78 9549 1451 79 The thermal fission cross section of 81.3 mb is adopted from the 9549 1451 80 work of Kobayashi et al.[Ko] 9549 1451 81 9549 1451 82 ---------------------------------------------------------------- 9549 1451 83 9549 1451 84 RESOLVED RESONANCE PARAMETERS in MLBW 9549 1451 85 9549 1451 86 Evaluation, July 2011 by S.F. Mughabghab (BNL) 9549 1451 87 9549 1451 88 The resolved resonance parameters up to 250 eV were adopted 9549 1451 89 from the Atlas of Neutron Resonances [Mu06] with minor changes: 9549 1451 90 9549 1451 91 9549 1451 92 1. A bound level was invoked to reproduce a 2200 m/s capture 9549 1451 93 cross sectionof 80.4 b and a fission cross section of 81.3 mb.9549 1451 94 9549 1451 95 2. The scattering and capture widths of the resonance at 1.356 eV9549 1451 96 were modified in order that the capture resonance integral is 9549 1451 97 in better agreement with direct measurements. 9549 1451 98 9549 1451 99 Other considerations are: 9549 1451 100 9549 1451 101 An average radiative widths of 39 meV [Mu06] was adopted 9549 1451 102 for resonances whose capture widths had not been determined 9549 1451 103 from measurements [Mu06]. 9549 1451 104 9549 1451 105 L that had not been determined from measurements was 9549 1451 106 assigned by applying the Bayesian approach. 9549 1451 107 9549 1451 108 J that had not been determined from measurements was 9549 1451 109 assigned randomly to follow the 2J+1 rule for density of 9549 1451 110 levels 9549 1451 111 9549 1451 112 An effective scattering radius of 9.4 fm was adopted from 9549 1451 113 the Atlas and deformed optical model calculation 9549 1451 114 [Mu06,Fig. 1.2]. 9549 1451 115 9549 1451 116 Calculated thermal cross sections and resonance integrals: 9549 1451 117 -------------------------------------------- 9549 1451 118 Reaction Cross section Res. integral 9549 1451 119 (barn) (barn) 9549 1451 120 Total 88.333 - 9549 1451 121 Elastic 7.866 - 9549 1451 122 Fission 0.0813 1.77*, 1.998** 9549 1451 123 Capture 80.40 2050.65 9549 1451 124 --------------------------------------------- 9549 1451 125 9549 1451 126 * integrated to first ineslatic channel at 42 keV. 9549 1451 127 ** integrated to 20 MeV. 9549 1451 128 9549 1451 129 UNRESOLVED RESONANCE REGION 9549 1451 130 9549 1451 131 Evaluation, July 2011 by S.F. Mughabghab (BNL) 9549 1451 132 9549 1451 133 9549 1451 134 Average level spacings and neutron strength functions 9549 1451 135 9549 1451 136 for s-, p-,and d-wave neutrons are adopted from 9549 1451 137 Mughabghab [Mu06] 9549 1451 138 9549 1451 139 Average radiative widths for s-, p- and d-wave neutrons are 9549 1451 140 39.1 meV, 68.8, 52.0 meV meV, respectively. The s- and p- 9549 1451 141 values are from a least-squares fit to the capture data of 9549 1451 142 Weston and Todd [We85], normalized to the thermal capture 9549 1451 143 cross section of the present work, 80.4 b. 9549 1451 144 The radiative width for d-wave neutrons is computed as the 9549 1451 145 geometric mean of s-wave and p-wave neutrons. 9549 1451 146 9549 1451 147 9549 1451 148 Energy-dependence of level spacing was calculated according to 9549 1451 149 the Gilbert-Cameron's level density formula with associated 9549 1451 150 parameters from Mughabghab [Mu98]. 9549 1451 151 9549 1451 152 9549 1451 153 9549 1451 154 Average resonance parameters: 9549 1451 155 9549 1451 156 S (10**4) D(eV)* Capture width (meV) 9549 1451 157 9549 1451 158 s-wave 0.98 0.66 39.1 9549 1451 159 p-wave 2.60 0.36 68.8 9549 1451 160 d-wave 0.98 0.24 52.0 9549 1451 161 9549 1451 162 * Level spacing at the neutron separation energy of target+n. 9549 1451 163 9549 1451 164 FAST CAPTURE CROSS SECION 43 keV - 20 MeV 9549 1451 165 9549 1451 166 Evaluation, July 2011 by S.F. Mughabghab, S. Hoblit (BNL) 9549 1451 167 9549 1451 168 The calculated capture cross section at 42 keV based on 9549 1451 169 the present unresolved resonance parameters is 15.5% 9549 1451 170 larger than that of the ENDF/B.VII.0. This number is in 9549 1451 171 remarkable agreement within the experimental uncertainties, 9549 1451 172 with the discrepancy observed by Palmiotti and Hiruta [Pa11]. 9549 1451 173 As a result of the present analysis, the capture cross 9549 1451 174 section of ENDF/B.VII.0 above 43 keV is normalized 9549 1451 175 by 1.155, thus resolving the discrepancy for Am-243. 9549 1451 176 9549 1451 177 9549 1451 178 REFERENCES 9549 1451 179 9549 1451 180 {Bu56} J. Butler, M. Lounsbury, and J. Merritt, Can. J. Phys. 9549 1451 181 34, 253 (1956). 9549 1451 182 9549 1451 183 [Ko99] K. Kobayashi, T. Kai, S. Yamamoto et al., J. Nucl. Sci. 9549 1451 184 Tech., 36, 20 (1999). 9549 1451 185 9549 1451 186 [Ma06] F. Marie, A. Letourneau, G. Fioni, Nucl. Inst., Meth./A 9549 1451 187 556,547 (2006). 9549 1451 188 9549 1451 189 [Mu06] S. F. Mughabghab, Atlas of Neutron Resonances, Elsevier 9549 1451 190 Holland, 2006 9549 1451 191 9549 1451 192 [Mu98] Mughabghab,S.F. and Dunford,C.L., Proc.Int.Conf. on Phys.9549 1451 193 of Nuclear Sciene and Technology, Long Island, New York 9549 1451 194 p. 784. 9549 1451 195 9549 1451 196 [Oh06] M. Ohta, S. Nakaruma, H. Harada et al. J. Nucl.Sci. 9549 1451 197 Tech., 43,1441 (2006). 9549 1451 198 9549 1451 199 [Pa11] G. Palmiotti and H. Hiruta, Mini CSWEG Meeting, June 22 9549 1451 200 (2011), Montauk N.Y. 9549 1451 201 9549 1451 202 [We85] L.W. Weston and J.H. Todd, Nucl. Sci. Eng.,91,444(1985). 9549 1451 203 9549 1451 204 *************************************************** 9549 1451 205 9549 1451 206 9549 1451 207 95-Am-243 LANL,ORNL EVAL-JAN06 P.G.Young, L.W.Weston, P.Talou 9549 1451 208 YO96 DIST-DEC06 9549 1451 209 ----ENDF/B-VII MATERIAL 9549 9549 1451 210 -----INCIDENT NEUTRON DATA 9549 1451 211 ------ENDF-6 FORMAT 9549 1451 212 9549 1451 213 ---------------------------------------------------------------- 9549 1451 214 9549 1451 215 ENDF/B-VII Evaluation, January 2006, P.G.Young, P.Talou (LANL) 9549 1451 216 9549 1451 217 ---------------------------------------------------------------- 9549 1451 218 9549 1451 219 ** Fission cross section 9549 1451 220 9549 1451 221 The fission cross section was re-analyzed in view of experimental9549 1451 222 data not available at the time of the ENDF/B-VI evaluation. In 9549 1451 223 particular, fission cross sections experimental data tend to 9549 1451 224 cluster in two distinct groups, in the 1-6 MeV range, separated 9549 1451 225 by about 20% from each other. The most recent experimental data 9549 1451 226 set is by Laptev [LA04], and those values lie in the higher- 9549 1451 227 energy group, about 20% higher than the ENDF/B-VI evaluation. 9549 1451 228 However, such higher values would be in disagreement with the 9549 1451 229 averaged cross sections obtained in the ZEBRA reactor spectrum 9549 1451 230 [SW77]. Because of an uncertainty in the normalization used near 9549 1451 231 the 1-MeV region, we decided to keep the ENDF/B-VI evaluated 9549 1451 232 values unchanged, in agreement with the ZEBRA data. More 9549 1451 233 explanations can be found in Ref. [TA06]. 9549 1451 234 9549 1451 235 ** Am-243 (n,2n) Am-242g,m cross sections 9549 1451 236 9549 1451 237 A new section in MF10, MT16 has been added to distinguish between9549 1451 238 the Am-243 (n,2n) cross section feeding the ground-state in 9549 1451 239 Am-242 versus the one feeding the long-lived metastable state 9549 1451 240 in Am-242. The calculations are in very good agreement with data 9549 1451 241 by Gancarz [GA83] for the (n,2n) cross section to the ground- 9549 1451 242 state of Am-242. 9549 1451 243 9549 1451 244 [GA83] M.MacInnes, private communication (2005), based on exp. 9549 1451 245 by Gancarz in 1983. 9549 1451 246 9549 1451 247 [LA04] A.B.Laptev et al., Nucl. Phys. A734, E45 (2004). 9549 1451 248 9549 1451 249 [SW77] D.W.Sweet, report AEEW-R-1090 (1977). 9549 1451 250 9549 1451 251 [TA06] P.Talou, T.Kawano, P.G.Young, R.E.MacFarlane, and M.B. 9549 1451 252 Chadwick, Los Alamos report LA-UR-06-0318, submitted to Nuclear 9549 1451 253 Science and Engineering for publication. 9549 1451 254 9549 1451 255 **************************************************************** 9549 1451 256 9549 1451 257 ENDF/B-VII CONVERTED FROM ENDF/B-VI BY NNDC OCT 2004 9549 1451 258 9549 1451 259 **************************************************************** 9549 1451 260 9549 1451 261 ENDF/B-VI MOD 2 Evaluation, September 1996, P.G. Young (LANL) 9549 1451 262 9549 1451 263 SUMMARY 9549 1451 264 The cross section data file for neutron reactions with 243Am 9549 1451 265 has been reevaluated over the incident neutron energy range from 9549 1451 266 0.042 to 30 MeV. Details of the analysis are given in the 9549 1451 267 sections that follow. Some general features of the work are: 9549 1451 268 9549 1451 269 1. The ENDF/B-VI, Release 1, n + 243Am resonance parameters were 9549 1451 270 adopted at neutron energies below 42 keV, suitably joined with 9549 1451 271 the results of the present analysis at 42 keV. Additionally, 9549 1451 272 the evaluation by Howerton in ENDF/B-VI.1 was used for MT=3,18 9549 1451 273 gamma-ray production data, and the radioactivity decay data in 9549 1451 274 file 8 and 9 was taken over from ENDF/B-VI.1. 9549 1451 275 9549 1451 276 2. A coupled-channel optical model potential was developed from 9549 1451 277 analyses of nearby actinides that is consistent with 9549 1451 278 measurements of the n + 241Am neutron total cross section. After9549 1451 279 an isospin correction, this potential was used in the n + 243Am 9549 1451 280 analysis to calculate the neutron total cross section, elastic 9549 1451 281 and inelastic scattering cross sections and angular 9549 1451 282 distributions, and reaction cross sections and transmission 9549 1451 283 coefficients for a theoretical analysis of the reaction 9549 1451 284 channels. The direct cross sections from the coupled-channel 9549 1451 285 analysis were combined with compound nucleus calculations at 9549 1451 286 lower energies and with preequilibrium theory calculations at 9549 1451 287 higher energies. Angular distributions for the first 13 excited 9549 1451 288 states of 243Am were obtained from the direct, compound-nucleus, 9549 1451 289 and preequilibrium calculations. Energy-angle correlated 9549 1451 290 distributions are provided for all continuum neutrons. 9549 1451 291 9549 1451 292 3. The evaluated fission cross section were obtained by making 9549 1451 293 minor adjustments to the theoretical cross sections as needed to 9549 1451 294 match the available experimental data. 9549 1451 295 9549 1451 296 4. Values of prompt nubar were obtained from calculations by 9549 1451 297 Madland [Ma94] using Madland-Nix theory. The fission neutron 9549 1451 298 spectra were taken from the n + 241Am ENDF/B-VI.3 evaluation, 9549 1451 299 which was also based on Madland-Nix theory. The latter will be 9549 1451 300 replaced in the future with Madland-Nix calculations 9549 1451 301 specifically for n + 243Am. 9549 1451 302 9549 1451 303 THEORETICAL ANALYSIS 9549 1451 304 The primary goal of the theoretical analysis was to provide 9549 1451 305 a consistent set of data for all reactions over the energy range 9549 1451 306 40 keV to 30 MeV. In the case of n + 243Am, there are reasonable9549 1451 307 experimental data available only for the fission (En < 10 MeV and9549 1451 308 14 MeV) and radiative capture (En < 300 keV) cross sections. 9549 1451 309 Therefore, the function of the theoretical analysis was to 9549 1451 310 provide the total, elastic, inelastic, (n,2n), (n,3n) and (n,4n) 9549 1451 311 cross sections, together with a smooth representation of the 9549 1451 312 (n,f) and (n,g) cross sections, and the angular and energy 9549 1451 313 distributions of secondary neutrons. To accomplish this, 9549 1451 314 parameters obtained in the theoretical analysis of n + 241Am 9549 1451 315 reactions, performed earlier for the ENDF/B-VI.3 241Am 9549 1451 316 evaluation, were utilized for 243Am, adjusting the relevant 9549 1451 317 parameters to match the fission and (n,g) cross sections. 9549 1451 318 Additionally, a theoretical analysis [Ma94] was performed to 9549 1451 319 obtain the average neutron multiplicity from fission using the 9549 1451 320 Madland-Nix formalism. A similar analysis of the energy spectra 9549 1451 321 of fission neutrons as a function of incident energy will be 9549 1451 322 performed by D. Madland in the future. 9549 1451 323 Coupled-channel deformed optical model calculations were 9549 1451 324 performed with the ECIS code [Ra70] over the incident neutron 9549 1451 325 energy range from 0.001 to 30 MeV. Hauser-Feshbach reaction 9549 1451 326 theory calculations were carried out with the LANL version of 9549 1451 327 the COMNUC code [Du70] at lower energies and the GNASH 9549 1451 328 statistical/preequilibrium code [Yo92] at higher energies to 9549 1451 329 obtain all partial reaction cross section data. Both reaction 9549 1451 330 theory codes used neutron transmission coefficients from the 9549 1451 331 optical model analysis. 9549 1451 332 9549 1451 333 A. Optical Model 9549 1451 334 The optical model potential was obtained by considering 9549 1451 335 several coupled-channel parameterizations developed from 9549 1451 336 n+235,238U and 239Pu experimental data [Ma78],[Yo88],[Yo92a]. 9549 1451 337 Parameters were adjusted until a reasonable fit to experimental 9549 1451 338 data for the neutron total cross section of 241Am was obtained. 9549 1451 339 The calculations for 243Am included the lowest five members of 9549 1451 340 the 5/2- ground state rotational band, that is, the 7/2-, 9/2-, 9549 1451 341 11/2- and 13/2- excited states at Ex = 42, 96, 163 and 241 keV 9549 1451 342 were coupled with the 5/2- ground state. 9549 1451 343 9549 1451 344 B. Reaction Theory Calculations 9549 1451 345 The Hauser-Feshbach statistical calculations were performed 9549 1451 346 with the COMNUC [Du70] and GNASH [Yo92b] codes. Both codes 9549 1451 347 include a double-humped fission barrier model, using uncoupled 9549 1451 348 oscillators for the barrier representation in GNASH and coupled 9549 1451 349 or uncoupled oscillators in COMNUC, as described by Arthur 9549 1451 350 [Ar82]. The COMNUC calculations include the possibility of 9549 1451 351 width-fluctuation corrections and corrections for class II 9549 1451 352 fluctuations [Ly74], which are needed at lower energies, whereas 9549 1451 353 GNASH provides the preequilibrium corrections that are required 9549 1451 354 at higher energies. Accordingly, a combination of GNASH and 9549 1451 355 COMNUC were used in the calculations below about 2 MeV, and the 9549 1451 356 GNASH code alone was employed at higher energies using two 9549 1451 357 uncoupled oscillators in the fission calculations. 9549 1451 358 Each compound nucleus formed in the calculations is 9549 1451 359 permitted to decay through the fission channel, by neutron 9549 1451 360 emission, and by gamma-ray emission. Neutron transmission 9549 1451 361 coefficients for the Hauser-Feshbach calculations are obtained 9549 1451 362 from the coupled-channel optical model. Gamma ray transmission 9549 1451 363 coefficients are obtained from gamma-ray strength functions 9549 1451 364 calculated with the generalized Lorentzian model of Kopecky and 9549 1451 365 Uhl [Ko90]. Transmission coefficients for fission are 9549 1451 366 calculated from the fission model summarized here and detailed 9549 1451 367 in [Yo92b]. 9549 1451 368 Gilbert and Cameron [Gi70] phenomenological level density 9549 1451 369 functions were used to represent continuum levels at ground- 9549 1451 370 state deformations, appropriately matched to available 9549 1451 371 experimental structure data at lower excitation energies. 9549 1451 372 Multiplicative factors were applied to the level density 9549 1451 373 functions to account for enhancements in the fission transition 9549 1451 374 state densities at the fission barriers due to increased 9549 1451 375 asymmetry conditions, and the continuum level densities were 9549 1451 376 matched to the discrete fission transition states at each 9549 1451 377 barrier. The discrete fission transition state spectra were 9549 1451 378 calculated from bandhead information taken from calculations and 9549 1451 379 compilations by Britt [Br82] and by Nagel [Na91]. 9549 1451 380 9549 1451 381 DESCRIPTION OF EVALUATED DATA BASE 9549 1451 382 A. Total Cross Section 9549 1451 383 The evaluated total cross section below 42 keV is obtained 9549 1451 384 from the earlier resonance parameter evaluation in ENDF/B-VI.1, 9549 1451 385 suitably matched to the results of the current analysis at 30 9549 1451 386 keV. From 42 keV to 30 MeV, the coupled-channel deformed 9549 1451 387 optical model calculations described above were utilized. 9549 1451 388 9549 1451 389 B. Elastic Cross Section 9549 1451 390 The elastic cross section at all energies is obtained from 9549 1451 391 the difference of the total and nonelastic cross sections. 9549 1451 392 Below 42 keV it comes from the ENDF/B-VI.1 resonance parameters 9549 1451 393 and at higher energies it is mainly determined by the coupled- 9549 1451 394 channel optical model calculations. Angular distributions for 9549 1451 395 elastic neutrons were obtained at all energies from the coupled- 9549 1451 396 channel calculations and are given as Legendre expansions. 9549 1451 397 9549 1451 398 C. Fission Cross Section 9549 1451 399 Below an incident neutron energy of about 650 keV, the 9549 1451 400 fission cross section was taken from the previous ENDF/B-VI.1 9549 1451 401 evaluation, because they agree well with experimental data. At 9549 1451 402 higher energies the fission cross section was obtained by 9549 1451 403 adjusting the results of the theoretical analysis to optimize 9549 1451 404 agreement with experimental data. At all energies the 9549 1451 405 adjustment required was less than about 3 percent. Above 5 MeV, 9549 1451 406 the theoretical values were used directly. Neutrons from 9549 1451 407 fission are assumed to isotropic in the laboratory system. 9549 1451 408 9549 1451 409 D. Radiative Capture Cross Section 9549 1451 410 The radiative capture cross section is calculated using the 9549 1451 411 generalized Lorentzian model of [Ko90]. The normalization of the 9549 1451 412 strength function was set by requiring the calculated (n,g) 9549 1451 413 cross section be consistent with measured values for 243Am. 9549 1451 414 9549 1451 415 E. Inelastic Neutron Cross Sections 9549 1451 416 Discrete (n,n') cross sections are included for the lowest 9549 1451 417 13 excited states of 243Am. The first, fourth, seventh, and 9549 1451 418 ninth excited states are members of the K = 5/2 ground-state 9549 1451 419 rotational band and include coupled-channel as well as compound 9549 1451 420 nucleus contributions. The remaining discrete-state cross 9549 1451 421 sections through the 13th excited state are combinations of 9549 1451 422 compound nucleus and preequilibrium contributions and were 9549 1451 423 calculated with the GNASH code. Angular distributions for all 9549 1451 424 the discrete inelastic neutrons are appropriate combinations of 9549 1451 425 the compound nucleus, direct reaction, and preequilibrium 9549 1451 426 contributions and are represented by Legendre expansions. 9549 1451 427 The inelastic data corresponding to excitation energies in 9549 1451 428 243Am above 0.383 MeV are given as energy-angle correlated 9549 1451 429 continuous spectra and were calculated with the GNASH code. The 9549 1451 430 results are given in File 6 of the ENDF/B-formatted evaluation 9549 1451 431 (ENDF-6 format) and utilize systematics by Kalbach [Ka88] for 9549 1451 432 angular distribution information, parameterized in terms of 9549 1451 433 preequilibrium ratios calculated in GNASH. 9549 1451 434 9549 1451 435 F. Cross Sections for 243Am(n,xn) Reactions 9549 1451 436 The 243Am(n,2n), (n,3n), and (n,4n) cross sections result 9549 1451 437 entirely from the theoretical analysis and GNASH calculations. 9549 1451 438 Energy-angle correlated distributions are given for all the 9549 1451 439 243Am(n,xn) reactions, making use of Kalbach's systematics [Ka88]9549 1451 440 and the ENDF-6 File 6 representation. 9549 1451 441 9549 1451 442 G. Nubar 9549 1451 443 The evaluation of delayed nubar was carried over directly 9549 1451 444 from the ENDF/B-VI.1 evaluation of 243Am. The prompt nubar 9549 1451 445 evaluation was obtained from calculations [Ma94] using Madland- 9549 1451 446 Nix theory. 9549 1451 447 9549 1451 448 H. Fission Neutron Spectra 9549 1451 449 The fission neutron spectra for n + 241Am in the ENDF/B-VI.3 9549 1451 450 evaluation, which were determined from Madland-Nix calculations 9549 1451 451 [Ma94], are adopted here for 243Am. It is planned to repeat 9549 1451 452 these calculations in the future specifically for n + 243Am. 9549 1451 453 9549 1451 454 I. Gamma-Ray Production 9549 1451 455 Gamma-ray production data from Howerton used in ENDF/B.VI.0 9549 1451 456 was utilized for MT=3. Isotropy in the center-of-mass system 9549 1451 457 is assumed for all angular distributions. Gamma-rays from 9549 1451 458 radiative capture (MT=102) are given conventionally in files 9549 1451 459 MF=12,14,15. Semi-direct capture is included with the compound- 9549 1451 460 nucleus contributions in both the gamma-ray production cross 9549 1451 461 sections and in the gamma-ray emission spectra, which leads to 9549 1451 462 an enhancement in the data for each at incident neutron and 9549 1451 463 emission gamma-ray energies above about 10 MeV. 9549 1451 464 The gamma-ray production data from fission (MT=18) are taken 9549 1451 465 directly from the previous ENDF/B-VI.1 evaluation and are given 9549 1451 466 in files MF=12,14,15. See ENDF/B-VI MOD 1 below. 9549 1451 467 9549 1451 468 ---------------------------------------------------------------- 9549 1451 469 REFERENCES 9549 1451 470 9549 1451 471 [Ar82] E.D. Arthur, Fast Neutron Scattering on Actinide Nuclei, 9549 1451 472 Proc. of OECD/NEA Specialists' Meeting, Paris, 1981, report 9549 1451 473 NEANDC-158 "U" (1982) p. 145 9549 1451 474 [Ba74] B.B. Back, O. Hansen, H.C. Britt, and J.D. Garrett, 9549 1451 475 Phys.Rev.C 9, 1924 (1974) 9549 1451 476 [Br82] H.C. Britt, private communication, 1982 9549 1451 477 [Du70] C.L. Dunford, Atomics Int. report AI-AEC-12931 (1970) 9549 1451 478 [Gi65] A. Gilbert and A.G.W. Cameron, Can.J.Phys. 43, 1446 (1965)9549 1451 479 [Ka88] C. Kalbach, Phys.Rev.C 37, 2350 (1988); C. Kalbach and 9549 1451 480 F.M. Mann, Phys.Rev.C 23, 112 (1981) 9549 1451 481 [Ko90] J. Kopecky and M.Uhl, Phys.Rev. C 41, 1941 (1990) 9549 1451 482 [Ma93] D.G. Madland, Los Alamos National Lab., private 9549 1451 483 communication, Feb., 1994 9549 1451 484 [Ra70] J. Raynal, Computing as a Language of Physics, Proc. 9549 1451 485 Conf., 1970, report IAEA SMR-9/8 (IAEA, 1972) p.281 9549 1451 486 [Yo88] P.G. Young and E.D. Arthur, Nuclear Data for Science and 9549 1451 487 Technology, Int. Conf., Mito, Japan, May/June 1988, (Saikon 9549 1451 488 Publishing, 1988) p. 603 9549 1451 489 [Yo92a] P.G. Young and E.D. Arthur, Nuclear Data for Science and 9549 1451 490 Technology, Proc. Conf., May 1991, Juelich, Germany, 9549 1451 491 (Springer-Verlag, 1992) p. 894 [preprint LA-UR-91-1424] 9549 1451 492 [Yo92b] P.G. Young, E.D. Arthur, and M.B. Chadwick, 9549 1451 493 Los Alamos National Laboratory report LA-12343-MS (1992) 9549 1451 494 [Yo96] P.G. Young, Los Alamos National Lab., internal progress 9549 1451 495 report, Sept. 1996 9549 1451 496 9549 1451 497 **************************************************************** 9549 1451 498 9549 1451 499 ENDF/B-VI MOD 1 Evaluation, October 1988, L.W. Weston (ORNL) 9549 1451 500 9549 1451 501 MF=1 GENERAL INFORMATION 9549 1451 502 MT=455 Delayed neutron yields taken from Brady and England [1].9549 1451 503 MT=458 Energy from fission based on Sher [2]. 9549 1451 504 9549 1451 505 MF=2 RESONANCE PARAMETERS (0 to 42 keV) 9549 1451 506 MT=151 RESONANCE PARAMETERS 9549 1451 507 RESOLVED RESONANCE REGION (0 to 250 eV) 9549 1451 508 219 resolved resonances plus one bound level are included 9549 1451 509 based upon the total cross section measurements of Simpson 9549 1451 510 et al. [3]. Thermal capture based on Mughabghab evaluation9549 1451 511 [4]. Thermal fission based on Wagemans measurement [5]. 9549 1451 512 Thermal values are: 9549 1451 513 Total: 84 barns 9549 1451 514 Capture: 75 barns 9549 1451 515 Fission: 74 millibarns 9549 1451 516 Fission widths based on Knitter measurements [6]. 9549 1451 517 UNRESOLVED RESONANCE REGION (250 eV to 42 keV) 9549 1451 518 Parameters based on the evaluation of Froehner et al. [7] 9549 1451 519 and Weston and Todd [8]. 9549 1451 520 9549 1451 521 MF=8 RADIOACTIVE DECAY DATA 9549 1451 522 MT=102 Used decay data of ENDF/B-V, MAT=7544 and 7554. 9549 1451 523 MT=454 Used 241Am yield curve [9],[10]. 9549 1451 524 9549 1451 525 MF=9 MULTIPLICITIES FOR RADIOACTIVE NUCLIDE PRODUCTION 9549 1451 526 MT = 102 Based on statistical model calculations [11]. 9549 1451 527 9549 1451 528 MF=12,15 PHOTON PRODUCTION 9549 1451 529 MT=18 Photon production from fission 9549 1451 530 Files taken from the LLNL evaluations of R. Howerton [12]. 9549 1451 531 Files extended to the energy range 1.-5 eV to 20 MeV and 9549 1451 532 merged to this evaluation at BNL by R. Kinsey. 9549 1451 533 9549 1451 534 ---------------------------------------------------------------- 9549 1451 535 REFERENCES 9549 1451 536 1. F. Brady and T. England, Nucl.Sci.Eng. 103, 129 (1989) 9549 1451 537 2. R. Sher and C. Beck, report EPRI NP-1771 (1981) and Rev.1/83 9549 1451 538 and private communication to B. Magurno Feb. 1983. 9549 1451 539 3. O. Simpson, F. Simpson, J. Harvey, et al. Nucl.Sci.Eng. 55, 9549 1451 540 273 (1974) 9549 1451 541 4. S.F. Mughabghab, Neutron Cross Sections, Vol.1, Part B, 9549 1451 542 (Academic Press, 1984) 9549 1451 543 5. C. Wagemans, P. Schillebeeckx and J.P. Bocquet, Nucl.Sci.Eng.9549 1451 544 (to be published) 9549 1451 545 6. H.H. Knitter and C. Budtz-Jorgensen, Nucl.Sci.Eng. 99, 1 9549 1451 546 (1988) 9549 1451 547 7. F.H. Froehner et al., Nuclear Data for Science and 9549 1451 548 Technology, 1982, Antwerp (D.Reidel Publishing, 1983) p.211 9549 1451 549 8. L.W. Weston and J.H. Todd, Nucl.Sci.Eng. 91, 444 (1985) 9549 1451 550 9. J.G. Cuninghame, J.Inorg.Nucl.Chem. 4, 1 (1957) 9549 1451 551 10. R.R. Richard et. al., Trans.Am.Nucl.Soc. 6, 2 (1963) 9549 1451 552 *** bad reference 9549 1451 553 11. F.M. Mann and R.E. Schenter, Trans.Am.Nuc.Soc. 23, 546 (1976)9549 1451 554 and report HEDL TME-77-54 (1977) 9549 1451 555 12. R. Howerton, Lawrence Livermore National Laboratory report 9549 1451 556 UCRL 50400, Vol. 15, Part D (1978) 9549 1451 557 9549 1451 558 ************************ C O N T E N T S *********************** 9549 1451 559 ***************** Program LINEAR (VERSION 2012-1) ***************9549 1451 560 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 561 Data Linearized to Within an Accuracy of .010000000 per-cent 9549 1451 562 ***************** Program RECENT (VERSION 2012-1) ***************9549 1451 563 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 564 Data Linearized Using Energy Dependent Uncertainty 9549 1451 565 Energy Accuracy 9549 1451 566 (eV) (per-cent) 9549 1451 567 ----------- ----------- 9549 1451 568 1.00000000 .010000000 9549 1451 569 2.00000000 .100000000 9549 1451 570 ***************** Program SIGMA1 (VERSION 2012-1) ***************9549 1451 571 Data Doppler Broadened to 1800.00000 Kelvin 9549 1451 572 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 573 Data Linearized Using Energy Dependent Uncertainty 9549 1451 574 Energy Accuracy 9549 1451 575 (eV) (per-cent) 9549 1451 576 ----------- ----------- 9549 1451 577 1.00000000 .010000000 9549 1451 578 2.00000000 .100000000 9549 1451 579 ***************** Program FIXUP (Version 2012-1) ****************9549 1451 580 Corrected ZA/AWR in All Sections-----------------------------Yes 9549 1451 581 Corrected Thresholds-----------------------------------------No 9549 1451 582 Extended Cross Sections to 20 MeV----------------------------No 9549 1451 583 Allow Cross Section Deletion---------------------------------No 9549 1451 584 Allow Cross Section Reconstruction---------------------------Yes 9549 1451 585 Make All Cross Sections Non-Negative-------------------------Yes 9549 1451 586 Delete Energies Not in Ascending Order-----------------------Yes 9549 1451 587 Deleted Duplicate Points-------------------------------------Yes 9549 1451 588 Check for Ascending MAT/MF/MT Order--------------------------Yes 9549 1451 589 Check for Legal MF/MT Numbers--------------------------------Yes 9549 1451 590 Allow Creation of Missing Sections---------------------------Yes 9549 1451 591 Allow Insertion of Energy Points-----------------------------No 9549 1451 592 Uniform Energy Grid for ALL MT-------------------------------No 9549 1451 593 Delete Section if Cross Section =0 at All Energies-----------Yes 9549 1451 594 **************** Program DICTIN (VERSION 2012-1) ****************9549 1451 595 1 451 664 09549 1451 596 1 452 5 09549 1451 597 1 455 7 09549 1451 598 1 456 5 09549 1451 599 1 458 5 09549 1451 600 2 151 518 09549 1451 601 3 1 6128 09549 1451 602 3 2 1360 09549 1451 603 3 3 4838 09549 1451 604 3 4 31 09549 1451 605 3 16 18 09549 1451 606 3 17 14 09549 1451 607 3 18 1620 09549 1451 608 3 37 10 09549 1451 609 3 51 23 09549 1451 610 3 52 27 09549 1451 611 3 53 25 09549 1451 612 3 54 26 09549 1451 613 3 55 26 09549 1451 614 3 56 25 09549 1451 615 3 57 25 09549 1451 616 3 58 25 09549 1451 617 3 59 25 09549 1451 618 3 60 25 09549 1451 619 3 61 24 09549 1451 620 3 62 24 09549 1451 621 3 63 22 09549 1451 622 3 91 22 09549 1451 623 3 102 3504 09549 1451 624 4 2 133 09549 1451 625 4 18 2 09549 1451 626 5 18 25 09549 1451 627 5 455 579 09549 1451 628 6 16 978 09549 1451 629 6 17 558 09549 1451 630 6 37 207 09549 1451 631 6 51 132 09549 1451 632 6 52 83 09549 1451 633 6 53 130 09549 1451 634 6 54 81 09549 1451 635 6 55 81 09549 1451 636 6 56 128 09549 1451 637 6 57 81 09549 1451 638 6 58 128 09549 1451 639 6 59 82 09549 1451 640 6 60 81 09549 1451 641 6 61 79 09549 1451 642 6 62 79 09549 1451 643 6 63 79 09549 1451 644 6 91 1738 09549 1451 645 8 16 3 09549 1451 646 8 102 7 09549 1451 647 9 102 13 09549 1451 648 10 16 34 09549 1451 649 12 18 5 09549 1451 650 12 102 17 09549 1451 651 13 3 9 09549 1451 652 14 3 1 09549 1451 653 14 18 1 09549 1451 654 14 102 1 09549 1451 655 15 3 439 09549 1451 656 15 18 114 09549 1451 657 15 102 1023 09549 1451 658 31 456 103 09549 1451 659 33 2 103 09549 1451 660 33 4 19 09549 1451 661 33 16 5 09549 1451 662 33 18 103 09549 1451 663 33 102 103 09549 1451 664 9549 1 0 665 95243.0000 240.973400 0 2 0 09549 1452 666 0.0 0.0 0 0 1 69549 1452 667 6 2 9549 1452 668 1.00000E-5 3.27283300 .025300000 3.27283300 6200000.00 4.112790009549 1452 669 13600000.0 5.08211600 22600000.0 6.21873900 30000000.0 7.122816009549 1452 670 9549 1 0 671 95243.0000 240.973400 0 2 0 09549 1455 672 0.0 0.0 0 0 6 09549 1455 673 1.349900-2 2.975900-2 1.137700-1 2.985900-1 8.820200-1 2.811100+09549 1455 674 0.0 0.0 0 0 1 59549 1455 675 5 2 9549 1455 676 1.00000E-5 .007951066 .025300000 .007951066 4000000.00 .0079510669549 1455 677 7000000.00 .004770640 30000000.0 .004770640 9549 1455 678 9549 1 0 679 95243.0000 240.973400 0 2 0 09549 1456 680 0.0 0.0 0 0 1 69549 1456 681 6 2 9549 1456 682 1.00000E-5 3.26488200 .025300000 3.26488200 6200000.00 4.107171009549 1456 683 13600000.0 5.07734500 22600000.0 6.21396800 30000000.0 7.118045009549 1456 684 9549 1 0 685 95243.0000 240.973400 0 0 0 09549 1458 686 0.000000+0 0.000000+0 0 0 18 99549 1458 687 1.763000+8 2.000000+6 7.530000+6 5.900000+5 4.000000+3 8.000000+29549 1458 688 6.420000+6 1.000000+6 6.620000+6 7.500000+5 6.750000+6 5.000000+59549 1458 689 9.060000+6 1.100000+6 2.036200+8 1.409000+6 2.126800+8 8.800000+59549 1458 690 9549 1 0 691 9549 0 0 692 95243.0000 240.973400 0 0 1 09549 2151 693 95243.0000 1.00000000 0 0 2 09549 2151 694 1.00000E-5 250.000000 1 2 0 09549 2151 695 2.50000000 .940000000 0 0 1 09549 2151 696 240.912500 0.0 0 0 1320 2209549 2151 697 -2.00000000 2.00000000 .047503730 .001307400 .046380000 8.63300E-59549 2151 698 .416000000 2.00000000 .039001010 1.00800E-6 .039000000 0.0 9549 2151 699 .983000000 2.00000000 .036016320 1.63200E-5 .036000000 0.0 9549 2151 700 1.35600000 3.00000000 .039756000 .001133000 .038600000 2.30000E-59549 2151 701 1.74400000 2.00000000 .038356720 3.01200E-4 .038000000 6.60000E-59549 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1850 2.89340710 21.2463576 2.89486506 21.2703294 2.90248920 21.39579649549 3 1 1851 2.90691016 21.4686306 2.90867045 21.4964257 2.91011334 21.52713779549 3 1 1852 2.91773747 21.6895925 2.91889342 21.7142506 2.92282023 21.82138679549 3 1 1853 2.92797469 21.9621337 2.92911639 21.9933391 2.93312916 22.13425709549 3 1 1854 2.93828363 22.3154281 2.93933935 22.3525728 2.94343809 22.53268049549 3 1 1855 2.94711475 22.6943939 2.94859256 22.7733141 2.95245842 22.97992479549 3 1 1856 2.95489015 23.1099853 2.95632427 23.2030483 2.96019012 23.45408169549 3 1 1857 2.96266555 23.6149464 2.96405596 23.7243174 2.96797636 24.03291029549 3 1 1858 2.97044095 24.2270551 2.97189675 24.3610220 2.97562455 24.70430509549 3 1 1859 2.97581714 24.7243478 2.97973753 25.1326175 2.98080814 25.24419189549 3 1 1860 2.98365792 25.5791169 2.98606487 25.8621933 2.98757831 26.06239619549 3 1 1861 2.98951129 26.3182651 2.99132160 26.5573434 2.99149870 26.58355409549 3 1 1862 2.99541908 27.1641277 2.99657833 27.3359158 2.99933948 27.79240639549 3 1 1863 3.00183506 28.2052477 3.00325986 28.4669436 3.00708622 29.17014479549 3 1 1864 3.00709179 29.1711690 3.01072453 29.9089367 3.01234852 30.23892309549 3 1 1865 3.01436284 30.6884514 3.01760525 31.4124001 3.01800115 31.50890759549 3 1 1866 3.02285223 32.6920648 3.02286198 32.6944442 3.02770331 33.97693219549 3 1 1867 3.02819287 34.1066901 3.03255439 35.3537560 3.03352376 35.63106059549 3 1 1868 3.03740547 36.8393890 3.04152011 38.1207826 3.04225655 38.37068949549 3 1 1869 3.04927778 40.7543667 3.04951645 40.8354319 3.05693725 43.53236289549 3 1 1870 3.05751279 43.7416118 3.06916949 48.2213794 3.06919241 48.23036689549 3 1 1871 3.07445958 50.2958952 3.08185607 53.2032515 3.08747134 55.40965769549 3 1 1872 3.09234104 57.2167912 3.09846862 59.4894035 3.09860479 59.53573769549 3 1 1873 3.10582172 61.9895646 3.10636639 62.1550527 3.11276631 64.09751469549 3 1 1874 3.11440034 64.5930353 3.11657903 65.1519709 3.12311511 66.82686989549 3 1 1875 3.12311512 66.8268723 3.12965120 68.1865533 3.13046821 68.35619739549 3 1 1876 3.13537028 69.1653426 3.13701791 69.4366918 3.14122552 69.94000319549 3 1 1877 3.14245104 70.0863217 3.14571907 70.4758726 3.14735310 70.59911399549 3 1 1878 3.15089348 70.8649897 3.15307217 71.0251161 3.15361685 71.06495819549 3 1 1879 3.15960826 71.3100434 3.16124228 71.3762989 3.16723369 71.50226899549 3 1 1880 3.17312020 71.6242129 3.17431445 71.6468803 3.18248456 71.80001859549 3 1 1881 3.18398242 71.8278633 3.19079084 72.2052427 3.19534692 72.67815059549 3 1 1882 3.19759926 72.9082545 3.20386301 73.9616942 3.20427152 74.06261389549 3 1 1883 3.20955011 75.3675243 3.21080760 75.7787894 3.21379147 76.75531379549 3 1 1884 3.21734369 78.2007422 3.21803281 78.4813232 3.22224575 80.57784059549 3 1 1885 3.22227417 80.5919908 3.22651552 83.1357435 3.22714781 83.58688399549 3 1 1886 3.23075687 86.1629487 3.23123287 86.5627591 3.23499822 89.72647249549 3 1 1887 3.23531792 90.0395441 3.23923957 93.8810764 3.23931299 93.96418379549 3 1 1888 3.24312812 98.2839053 3.24348092 98.6834843 3.24614208 102.1394249549 3 1 1889 3.24694325 103.182165 3.24772228 104.196366 3.25075838 108.6956249549 3 1 1890 3.25196362 110.482145 3.25457351 114.834475 3.25583539 116.9393229549 3 1 1891 3.25838864 121.681017 3.25970715 124.130197 3.26220377 129.2691649549 3 1 1892 3.26328581 131.496870 3.26357891 132.101582 3.26601890 137.6538089549 3 1 1893 3.26745067 140.912462 3.26983403 146.869586 3.27132243 150.5904829549 3 1 1894 3.27364916 156.951858 3.27471496 159.866310 3.27519419 161.1789539549 3 1 1895 3.27746429 167.950787 3.27906595 172.729388 3.28100575 179.0074869549 3 1 1896 3.28293771 185.260947 3.28327550 186.442394 3.28328682 186.4819929549 3 1 1897 3.28680948 198.822054 3.28781500 202.613064 3.29068123 213.4210749549 3 1 1898 3.29193930 218.530547 3.29235450 220.219351 3.29507820 231.2995319549 3 1 1899 3.29689400 239.204029 3.29870980 247.109645 3.30063210 256.0998689549 3 1 1900 3.30143350 259.853552 3.30415720 272.612769 3.30597300 281.8147429549 3 1 1901 3.30932490 298.803237 3.30960460 300.223081 3.31051250 305.1690599549 3 1 1902 3.31505200 329.901549 3.31801770 347.103610 3.32049940 361.5198669549 3 1 1903 3.32095335 364.327830 3.32671049 399.943019 3.32685470 400.8364559549 3 1 1904 3.32794418 407.586806 3.33275605 439.259733 3.33544416 456.9551139549 3 1 1905 3.33638765 463.174655 3.34328769 511.007141 3.34425960 517.7449319549 3 1 1906 3.35109563 565.196499 3.35307504 578.917806 3.36189047 640.0968029549 3 1 1907 3.36480492 660.344718 3.37243128 709.982268 3.37364439 717.8769329549 3 1 1908 3.37461024 724.167645 3.38114712 762.656081 3.38278134 772.2761329549 3 1 1909 3.38913664 804.861139 3.39058928 812.307052 3.39639984 837.0155019549 3 1 1910 3.39785248 843.190426 3.40293672 860.154726 3.40366304 862.5770059549 3 1 1911 3.40438936 864.993882 3.41001834 878.626221 3.41038150 879.5051539549 3 1 1912 3.41527508 887.290000 3.41637364 888.051087 3.42179153 891.7536969549 3 1 1913 3.42251558 891.831638 3.42432684 891.241504 3.42724120 890.2656439549 3 1 1914 3.43180794 884.682449 3.43379624 882.229330 3.43925272 870.4891289549 3 1 1915 3.44097773 865.281107 3.44578960 850.688700 3.45014752 833.6699949549 3 1 1916 3.45232648 825.131201 3.45868178 795.036872 3.45958968 790.7259569549 3 1 1917 3.46721604 748.730065 3.46757920 746.725801 3.47575030 696.4013729549 3 1 1918 3.47629504 693.040308 3.48428456 639.824325 3.48773458 616.8097779549 3 1 1919 3.49350150 577.333007 3.50271843 514.160216 3.50711825 483.9715209549 3 1 1920 3.51500768 432.060163 3.51524395 430.504177 3.52262064 384.3648709549 3 1 1921 3.52852199 349.508486 3.53476380 314.874577 3.54021120 286.6507789549 3 1 1922 3.54565860 260.360743 3.55110600 236.029535 3.55473760 220.8940089549 3 1 1923 3.55836679 206.625516 3.55836920 206.616054 3.56200080 193.2001689549 3 1 1924 3.56654030 177.585452 3.57107980 163.210921 3.57448443 153.2119909549 3 1 1925 3.57706073 146.132305 3.57788905 143.860657 3.58129368 135.1404309549 3 1 1926 3.58469830 127.009975 3.58810293 119.441400 3.58961127 116.3247559549 3 1 1927 3.59150755 112.415219 3.59491218 105.901266 3.59831680 99.86445419549 3 1 1928 3.60224972 93.4618022 3.60243453 93.1619168 3.60655225 87.08930169549 3 1 1929 3.61066998 81.5792081 3.61478770 76.5870553 3.61890542 72.07041859549 3 1 1930 3.62120739 69.7888956 3.62302314 67.9989672 3.62714087 64.33778079549 3 1 1931 3.63125859 61.0396665 3.63537632 58.0722985 3.63949404 55.40597369549 3 1 1932 3.64025422 54.9656370 3.64384498 52.9004662 3.64866236 50.45149369549 3 1 1933 3.65347975 48.3064883 3.65829713 46.4342766 3.65947936 46.03504809549 3 1 1934 3.66311452 44.8200229 3.66793190 43.4314046 3.67274929 42.24362719549 3 1 1935 3.67756667 41.2388044 3.68238406 40.4015264 3.68511287 40.01465279549 3 1 1936 3.68720144 39.7243476 3.69201882 39.1976603 3.69282172 39.13062489549 3 1 1937 3.69621004 38.8479587 3.69854980 38.7115890 3.70138090 38.54675439549 3 1 1938 3.70347499 38.4793907 3.70655176 38.3805541 3.70675844 38.37773779549 3 1 1939 3.70913719 38.3454462 3.71110802 38.3532395 3.71332535 38.36663859549 3 1 1940 3.71430804 38.3726411 3.71947890 38.5187363 3.71989226 38.54099019549 3 1 1941 3.72593195 38.8665002 3.72723519 38.9368066 3.73197163 39.32389379549 3 1 1942 3.73499147 39.5708350 3.73710318 39.7988610 3.73801132 39.89857959549 3 1 1943 3.74413189 40.5709678 3.74707085 40.9620182 3.75327230 41.78747579549 3 1 1944 3.75613037 42.2222434 3.76346508 43.3382749 3.76545952 43.64516029549 3 1 1945 3.78762300 47.2446691 3.78913293 47.4898147 3.78982698 47.59045569549 3 1 1946 3.79797675 48.7860878 3.79991808 49.0707737 3.80574206 49.78861989549 3 1 1947 3.80876190 50.1606364 3.81264456 50.5428023 3.81566440 50.83983559549 3 1 1948 3.81868424 51.0464666 3.82472392 51.4592832 3.82515533 51.47556519549 3 1 1949 3.82601814 51.5080549 3.83033220 51.6745297 3.83205783 51.69119289549 3 1 1950 3.83762296 51.7444542 3.83787102 51.7384150 3.84023297 51.68077749549 3 1 1951 3.84491372 51.5663233 3.84495686 51.5636701 3.85274374 51.08408939549 3 1 1952 3.85339085 51.0441660 3.86053062 50.3336791 3.86139343 50.24772979549 3 1 1953 3.86894304 49.2318166 3.86959015 49.1446732 3.87778686 47.76646089549 3 1 1954 3.87864967 47.6213208 3.88382654 46.6056040 3.88641498 46.09758859549 3 1 1955 3.89202326 44.8795357 3.89418028 44.4109225 3.90313196 42.30078159549 3 1 1956 3.90539684 41.7667822 3.91762071 38.7341450 3.92060390 37.99018589549 3 1 1957 3.93435497 34.5608922 3.93537957 34.3176600 3.94449301 32.15449919549 3 1 1958 3.94487050 32.0698707 3.95198869 30.4743167 3.95209654 30.45014599549 3 1 1959 3.95910689 28.9811374 3.96065484 28.6568231 3.96497271 27.81890689549 3 1 1960 3.96763340 27.3026805 3.97195888 26.5266882 3.97461196 26.05083769549 3 1 1961 3.97894505 25.3380951 3.98159052 24.9030451 3.98418467 24.51473619549 3 1 1962 3.98856908 23.8585878 3.98942429 23.7428853 3.99466392 23.03417039549 3 1 1963 3.99554764 22.9146642 3.99990355 22.3854053 4.00252620 22.06681859549 3 1 1964 4.00514318 21.7827164 4.00950476 21.3093368 4.01038280 21.22459339549 3 1 1965 4.01562242 20.7190282 4.01653255 20.6312327 4.02091133 20.25734809549 3 1 1966 4.02360957 20.0270179 4.02622489 19.8300621 4.03068658 19.49415169549 3 1 1967 4.03153843 19.4376802 4.03685198 19.0855325 4.03776360 19.02513219549 3 1 1968 4.04216553 18.7685652 4.04484061 18.6126968 4.04925026 18.38664559549 3 1 1969 4.05191763 18.2499576 4.05633499 18.0505764 4.05899464 17.93057339549 3 1 1970 4.06341972 17.7543396 4.06607166 17.6487596 4.07050445 17.49257229549 3 1 1971 4.07319859 17.3976773 4.07763916 17.2626812 4.08396388 17.07047019549 3 1 1972 4.08482384 17.0483816 4.08578274 17.0237618 4.09472917 16.79994559549 3 1 1973 4.09560087 16.7813633 4.10549446 16.5705606 4.10637789 16.55466919549 3 1 1974 4.11715491 16.3608942 4.11984818 16.3124852 4.12793193 16.19042939549 3 1 1975 4.13430315 16.0942630 4.13881032 16.0359937 4.14885938 15.90612549549 3 1 1976 4.15338242 15.8567623 4.16795451 15.6977893 4.17069371 15.66791769549 3 1 1977 4.18981265 15.4938453 4.19263073 15.4681992 4.21431335 15.30081679549 3 1 1978 4.21477311 15.2972690 4.23152256 15.1895413 4.23364993 15.17628909549 3 1 1979 4.24429628 15.1099990 4.25971250 15.0328658 4.27423597 14.96024029549 3 1 1980 4.28205185 14.9294630 4.30417566 14.8423992 4.30470637 14.84087169549 3 1 1981 4.32736088 14.7757161 4.33997045 14.7394817 4.35012193 14.71775669549 3 1 1982 4.35190205 14.7139516 4.37309606 14.6823616 4.38260080 14.66822099549 3 1 1983 4.39607019 14.6609538 4.41329955 14.6517097 4.41926041 14.65452659549 3 1 1984 4.44255867 14.6656131 4.44443141 14.6665112 4.46585692 14.70064679549 3 1 1985 4.47556327 14.7161519 4.48948387 14.7536625 4.49924157 14.78000319549 3 1 1986 4.51311082 14.8323350 4.52291987 14.8694021 4.53684889 14.93912149549 3 1 1987 4.54670953 14.9885309 4.55282241 15.0279077 4.56879593 15.13088319549 3 1 1988 4.57035174 15.1409217 4.57072189 15.1431562 4.58476945 15.25175099549 3 1 1989 4.59473425 15.3288481 4.60085565 15.3863706 4.61085542 15.48041229549 3 1 1990 4.61705453 15.5483644 4.62708951 15.6584503 4.63325341 15.73715999549 3 1 1991 4.64332360 15.8658515 4.64945229 15.9569940 4.65955768 16.10737839549 3 1 1992 4.66165859 16.1438280 4.66752574 16.2456790 4.67397915 16.35414289549 3 1 1993 4.67590629 16.3865549 4.68629972 16.5921210 4.69236941 16.71225129549 3 1 1994 4.69862028 16.8552705 4.70471675 16.9948519 4.71094085 17.15687559549 3 1 1995 4.71706409 17.3163853 4.72326141 17.5007640 4.72941143 17.68387019549 3 1 1996 4.73337612 17.8195613 4.73575580 17.8993571 4.74187491 18.10467719549 3 1 1997 4.74408539 18.1909072 4.75241498 18.5160110 4.75439645 18.59339429549 3 1 1998 4.76074457 18.8762328 4.76274415 18.9653781 4.76907416 19.28082999549 3 1 1999 4.77109184 19.3814443 4.77740375 19.7351745 4.77943954 19.84934099549 3 1 2000 4.78334374 20.0968671 4.78573333 20.2461328 4.78778723 20.37452259549 3 1 2001 4.79406287 20.8216921 4.79613492 20.9694325 4.80031000 21.31121279549 3 1 2002 4.80454150 21.6578097 4.80655712 21.8452341 4.81089060 22.24842149549 3 1 2003 4.81280425 22.4479425 4.81723969 22.9106685 4.81905137 23.12329319549 3 1 2004 4.82358880 23.6561502 4.82529849 23.8828640 4.82993789 24.49846429549 3 1 2005 4.83154561 24.7401840 4.83377913 25.0762115 4.83628699 25.45104389549 3 1 2006 4.83779274 25.7070534 4.84195749 26.4155381 4.84263609 26.53103469549 3 1 2007 4.84612224 27.2077429 4.84898519 27.7637444 4.85028699 28.04618929549 3 1 2008 4.85321792 28.6823969 4.85445173 28.9754173 4.85745065 29.68803479549 3 1 2009 4.85998863 30.3482842 4.86168338 30.7894470 4.86517042 31.78365669549 3 1 2010 4.86591611 31.9963976 4.86989392 33.2362767 4.87035220 33.39151329549 3 1 2011 4.87361680 34.4980081 4.87553399 35.2022557 4.87733969 35.86595369549 3 1 2012 4.88071578 37.2106435 4.88106257 37.3488405 4.88417030 38.69054379549 3 1 2013 4.88478546 38.9562372 4.88762483 40.2843937 4.88850834 40.69783749549 3 1 2014 4.89107935 42.0002538 4.89223122 42.5840013 4.89453388 43.84656609549 3 1 2015 4.89595410 44.6255933 4.89798840 45.8321035 4.89967699 46.83397269549 3 1 2016 4.90144293 47.9659954 4.90339987 49.2209412 4.90489745 50.25766229549 3 1 2017 4.90712275 51.7987448 4.90835197 52.7168303 4.91061981 54.41141019549 3 1 2018 4.91084563 54.5805355 4.91316363 56.4505933 4.91456852 57.58453979549 3 1 2019 4.91723503 59.9003739 4.91829140 60.8182208 4.92130644 63.63365289549 3 1 2020 4.92201428 64.2949164 4.92537784 67.6676775 4.92573716 68.02813379549 3 1 2021 4.92944925 72.0423664 4.93006612 72.7097237 4.93352065 76.77580809549 3 1 2022 4.93500116 78.5191125 4.93655408 80.5143183 4.93759206 81.85108979549 3 1 2023 4.93993619 84.8711583 4.94166346 87.2920259 4.94487123 91.78955599549 3 1 2024 4.94573487 93.1029811 4.94980626 99.2969429 4.94980627 99.29695949549 3 1 2025 4.95384359 105.940958 4.95387767 105.997157 4.95474130 107.4217669549 3 1 2026 4.95745557 112.246922 4.95967633 116.196046 4.96189711 120.4377909549 3 1 2027 4.96461137 125.623859 4.96633864 129.144594 4.96681072 130.1071589549 3 1 2028 4.96905290 134.687511 4.97078017 138.462706 4.97497494 147.6337709549 3 1 2029 4.97522170 148.213637 4.97989981 159.210738 4.98089698 161.5595019549 3 1 2030 4.98188399 164.044023 4.98681902 176.471446 4.98854629 181.0928159549 3 1 2031 4.99274107 192.320291 4.99304989 193.193177 4.99594884 201.4027349549 3 1 2032 4.99866310 209.091849 5.00285789 221.583440 5.00507865 228.1986419549 3 1 2033 5.00619997 231.723484 5.01149420 248.391503 5.01470198 258.4934919549 3 1 2034 5.01496669 259.371801 5.02116686 279.968894 5.02373340 288.4968489549 3 1 2035 5.02694086 299.170307 5.03688348 333.069965 5.04655169 366.0808979549 3 1 2036 5.04919786 375.128053 5.04939526 375.802797 5.06143675 415.0084689549 3 1 2037 5.06183155 416.293301 5.06240627 418.007642 5.07189903 446.3645479549 3 1 2038 5.07209642 446.889626 5.08068339 469.716434 5.08078209 469.9786169549 3 1 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