92-U -241 ENDF/B-VII.0 Processed by Red Cullen using PREPRO2007. 1 0 0 0 92241.0000 238.989500 2 1 0 19246 1451 1 0.0 1.00000000 0 0 0 69246 1451 2 1.00000000 30000000.0 0 0 10 79246 1451 3 900.000000 0.0 1 0 411 909246 1451 4 92-U -241 LANL EVAL-FEB05 P.G.Young, M.B.Chadwick 9246 1451 5 DIST-DEC06 9246 1451 6 ----ENDF/B-VII MATERIAL 9246 9246 1451 7 -----INCIDENT NEUTRON DATA 9246 1451 8 ------ENDF-6 FORMAT 9246 1451 9 9246 1451 10 **************************************************************** 9246 1451 11 9246 1451 12 MOD 1A - INCORPORATION OF REVISED DELAYED NEUTRON DATA 9246 1451 13 W. B. WILSON [2-28-05] 9246 1451 14 9246 1451 15 New DN 6-gp parameters from CINDER'90 summation calculations are 9246 1451 16 available. The CINDER calculations are based on a new CINDER 9246 1451 17 library in which beta-decay half-lives and beta-delayed neutron- 9246 1451 18 emission probablities are obtained from the evaluated experimental9246 1451 19 data file NuBase2003 (G. Audi, O. Bersillon, J. Blanchot, and 9246 1451 20 A. H. Wapstra, Nuclear Physics A729 (2003) p. 3-129), when avail- 9246 1451 21 able there. When experimental data are not available there they 9246 1451 22 are calculated in a model where allowed Gamow-Teller decays are 9246 1451 23 treated in a microscopic quasi-particle random-phase approximation9246 1451 24 (QRPA) and the first forbidden decays are treated in the statis- 9246 1451 25 tical gross theory (P. Moller, B. Pfeiffer, and K.-L. Kratz, Phys.9246 1451 26 Rev. C. 67 (2003) 055802). Further refinements are anticipated 9246 1451 27 before the final release of ENDF-7. 9246 1451 28 9246 1451 29 **************************************************************** 9246 1451 30 9246 1451 31 MOD 1 - PRELIMINARY EVALUATION OF n + 241U REACTIONS 9246 1451 32 9246 1451 33 P. G. Young and M. B. Chadwick 9246 1451 34 9246 1451 35 Theoretical Division 9246 1451 36 Los Alamos National Laboratory 9246 1451 37 Los Alamos, NM 87545 9246 1451 38 September, 2000 9246 1451 39 9246 1451 40 I. SUMMARY 9246 1451 41 9246 1451 42 The cross section data file for neutron reactions with 241U 9246 1451 43 has been evaluated over the incident neutron energy range from 9246 1451 44 10-5 eV to 30 MeV. This work utilizes results from a new 9246 1451 45 theoretical study, which includes a systematic analysis of 9246 1451 46 first-chance fission data from 232,233,234,235,236,238U + n 9246 1451 47 reactions. There are no experimental data for 241U. 9246 1451 48 9246 1451 49 Details of the present analysis are given in the sections 9246 1451 50 that follow. Some general features of the work are: 9246 1451 51 9246 1451 52 1. The ENDF/B-VI n + 237U resonance parameters were adopted for 9246 1451 53 n + 241U at neutron energies below 10 keV, as modified in the 9246 1451 54 Los Alamos 1998 evaluation of n + 237U reactions (Yo98). The 9246 1451 55 resonance analysis was suitably joined with the present analysis 9246 1451 56 at 10 keV. 9246 1451 57 9246 1451 58 2. A systematic analysis was performed of experimental fission 9246 1451 59 and radiative capture cross section data for uranium isotopes 9246 1451 60 between 232U and 238U. An isospin-dependent coupled-channel 9246 1451 61 optical model potential was developed for the uranium isotopes 9246 1451 62 and was used to calculate the n + 241U neutron total cross 9246 1451 63 section, elastic and inelastic scattering cross sections, 9246 1451 64 elastic scattering angular distributions, and reaction cross 9246 1451 65 sections. Transmission coefficients were obtained from the 9246 1451 66 optical model for theoretical calculations with reaction theory 9246 1451 67 codes. 9246 1451 68 9246 1451 69 3. Photon production data and fission neutron spectra were 9246 1451 70 taken from the existing ENDF/B-VI evaluation for n + 237U 9246 1451 71 reactions. Prompt ubar was estimated from systematics. 9246 1451 72 9246 1451 73 9246 1451 74 II. THEORETICAL ANALYSIS 9246 1451 75 9246 1451 76 The basic approach followed was to fit the available 9246 1451 77 experimental data for (n,f), (n,g), (n,xn), and other reactions 9246 1451 78 for the stable uranium isotopes using nuclear models, and to 9246 1451 79 then use reasonable extrapolations of the parameters to infer 9246 1451 80 cross sections for 241U. To perform the analysis, we utilized 9246 1451 81 the Hauser-Feshbach reaction theory code COMNUC, the Hauser- 9246 1451 82 Feshbach/preequilibrium reaction theory code GNASH, and the 9246 1451 83 coupled-channels optical model code ECIS. 9246 1451 84 9246 1451 85 A. Optical Model 9246 1451 86 9246 1451 87 The deformed optical model potential was obtained by 9246 1451 88 considering several coupled-channel parameterizations developed 9246 1451 89 from n + 235,238U and 239Pu experimental data , several of which 9246 1451 90 were used in ENDF/B-VI evaluations. The Harwell potential by 9246 1451 91 Madland and Young (Ma78), the Bruyeres-le-Chatel (BRC) potential 9246 1451 92 by Lagrange (Ha82), and a modified version of the BRC potential 9246 1451 93 by Arthur and Young (Yo88, Yo92a) were examined. Isospin 9246 1451 94 corrections were applied to all the potentials to adapt them for 9246 1451 95 the various U isotopes. Corrections from the measured to the 9246 1451 96 unmeasured cases were made in the deformation parameters b2 and 9246 1451 97 b4, using a simple model by D. Madland to calculate deformation 9246 1451 98 parameters for targets without experimental information from 9246 1451 99 deformations given in the extensive Nix-Moller mass analysis. 9246 1451 100 For the optical model potential, we chose to use an isospin 9246 1451 101 version of the BRC potential (Ha82), which was inferred from 9246 1451 102 Lagrange's results for individual nuclides. The lowest three 9246 1451 103 members of the 7/2+ ground state rotational band were included 9246 1451 104 in the calculations, that is, the 9/2+ and 11/2+ states at Ex = 9246 1451 105 56 and 123 keV were coupled with the 7/2+ ground state. All of 9246 1451 106 the potentials considered gave total and reaction cross sections 9246 1451 107 that were reasonably consistent, so the selection was based 9246 1451 108 mainly on the fact that the BRC potential gave better agreement 9246 1451 109 with fission cross sections for odd U isotopes (233,235U) at 9246 1451 110 lower energies. 9246 1451 111 9246 1451 112 B. Reaction Theory Calculations 9246 1451 113 9246 1451 114 The Hauser-Feshbach statistical calculations were performed 9246 1451 115 with the COMNUC (Du70) and GNASH (Yo92b) codes. Both codes 9246 1451 116 include a double-humped fission barrier model, using uncoupled 9246 1451 117 oscillators for the barrier representation in GNASH and coupled 9246 1451 118 or uncoupled oscillators in COMNUC, as described by Arthur 9246 1451 119 (Ar82a). The COMNUC calculations include the possibility of 9246 1451 120 width-fluctuation corrections and corrections for class II 9246 1451 121 fluctuations, which are needed at lower energies, whereas GNASH 9246 1451 122 provides the preequilibrium corrections that are required at 9246 1451 123 higher energies. Accordingly, COMNUC was used in the 9246 1451 124 calculations below about 0.5 MeV, utilizing a non-resonant model 9246 1451 125 and including class II fluctuations, and the GNASH code was 9246 1451 126 employed at higher energies using two uncoupled oscillators in 9246 1451 127 the fission calculations. 9246 1451 128 Each compound nucleus formed in the calculations is permitted 9246 1451 129 to decay through the fission channel, by neutron emission, and 9246 1451 130 by gamma-ray emission. Neutron transmission coefficients for 9246 1451 131 the Hauser-Feshbach calculations are obtained from the coupled- 9246 1451 132 channel optical model. Gamma ray transmission coefficients are 9246 1451 133 obtained from gamma-ray strength functions calculated with the 9246 1451 134 generalized Lorentzian model of Kopecky and Uhl (Ko90). 9246 1451 135 Transmission coefficients for fission are calculated from the 9246 1451 136 fission model summarized here and detailed in Yo92b. 9246 1451 137 Gilbert and Cameron (Gi70) phenomenological level density 9246 1451 138 functions were used to represent continuum levels at ground- 9246 1451 139 state deformations, appropriately matched to available 9246 1451 140 experimental structure data at lower excitation energies. 9246 1451 141 Multiplicative factors were applied to the level density 9246 1451 142 functions to account for enhancements in the fission transition 9246 1451 143 state densities at the fission barriers due to increased 9246 1451 144 asymmetry conditions, and the continuum level densities were 9246 1451 145 matched to the discrete fission transition states at each 9246 1451 146 barrier. The discrete fission transition state spectra were 9246 1451 147 calculated from bandhead information taken from calculations and 9246 1451 148 compilations by Britt (Br82). 9246 1451 149 Initial values of fission barrier parameters were taken from 9246 1451 150 the work of Britt (Br82,Ba74), and we used default level density 9246 1451 151 parameters of Gilbert and Cameron for all ground state nuclei. 9246 1451 152 We only modified the Britt-Back parameters in very simple ways 9246 1451 153 in order to facilitate extrapolation of the parameters. Our 9246 1451 154 modifications were limited to minor adjustments of the fission 9246 1451 155 barrier heights, the pairing energy at the fission barriers 9246 1451 156 (although we usually used the Gilbert-Cameron values), and the 9246 1451 157 level matching of the temperature region of the continuum level 9246 1451 158 densities at the fission saddles. 9246 1451 159 We fit the experimental (n,f) and (n,g) cross sections for 9246 1451 160 all stable isotopes over the energy region of first-chance 9246 1451 161 fission using the COMNUC model code. Experimental data exists 9246 1451 162 for targets of 232U, 233U, 234U, 235U, 236U, and 238U, which 9246 1451 163 allowed us to infer fission barrier parameters and gamma-ray 9246 1451 164 strength functions for the compound systems of 233U, 234U, 235U, 9246 1451 165 236U, 237U, and 239U. Using the parameters determined from the 9246 1451 166 first-chance fission fitting without modification, we performed 9246 1451 167 GNASH calculations over the entire energy region of each target 9246 1451 168 nucleus. We carried the calculations to 30 MeV, which involve 9246 1451 169 first-, second-, third-, fourth-, and fifth-chance fission 9246 1451 170 processes. These comparisons provide a necessary test of the 9246 1451 171 reliability of our calculations, in that no adjustments are made 9246 1451 172 past the first-chance fission results. 9246 1451 173 9246 1451 174 III. DESCRIPTION OF EVALUATED DATA BASE 9246 1451 175 9246 1451 176 A. Total Cross Section 9246 1451 177 9246 1451 178 The evaluated total cross section below 10 keV is obtained 9246 1451 179 from the n + 237U resonance parameter evaluation in ENDF/B-VI, 9246 1451 180 as modified in a recent Los Alamos evaluation (Yo98). From 10 9246 1451 181 keV to 30 MeV, the coupled-channel deformed optical model 9246 1451 182 calculations described above are used directly. 9246 1451 183 9246 1451 184 B. Elastic Cross Section 9246 1451 185 9246 1451 186 The elastic cross section at all energies is obtained from 9246 1451 187 the difference of the total and nonelastic cross sections. Below 9246 1451 188 10 keV it comes from the resonance parameters and at higher 9246 1451 189 energies it is determined by the coupled-channel optical model 9246 1451 190 calculations. Angular distributions for elastic neutrons were 9246 1451 191 obtained at all energies from the ECIS coupled-channel 9246 1451 192 calculations combined with the COMNUC compound-elastic 9246 1451 193 calculations (see above) and are given as Legendre expansions. 9246 1451 194 9246 1451 195 C. Fission Cross Section 9246 1451 196 9246 1451 197 The fission cross section is calculated from the resonance 9246 1451 198 parameters below 10 keV, as described earlier. At higher 9246 1451 199 energies the fission cross section is based on the theoretical 9246 1451 200 analysis described above. 9246 1451 201 9246 1451 202 D. Radiative Capture Cross Section 9246 1451 203 9246 1451 204 Below 10 keV, the capture cross section is based on the 9246 1451 205 resonance parameters. At higher energies the cross section is 9246 1451 206 calculated using the generalized Lorentzian model of Ko90. The 9246 1451 207 normalization of the strength function was set by requiring the 9246 1451 208 calculated (n,g) cross section be consistent with measured 9246 1451 209 values for 235U, similar to our n + 237U evaluation 9246 1451 210 9246 1451 211 E. Inelastic Neutron Cross Sections 9246 1451 212 9246 1451 213 Discrete (n,n') cross sections are included for the lowest 2 9246 1451 214 rotational levels of 241U (MT=51,52)and for 25 (representative) 9246 1451 215 collective levels (MT=53-77). Because the structure of 241U is 9246 1451 216 unknown, the rotational states were estimated from a rotational 9246 1451 217 model. The two excited states are members of the K = 7/2 ground- 9246 1451 218 state rotational band; the cross sections and angular 9246 1451 219 distributions include direct components from the ECIS 9246 1451 220 calculations as well as compound nucleus contributions from the 9246 1451 221 COMNUC calculations. The other collective levels (MT=53-78) are 9246 1451 222 based on calculations for 235U (MT=53-58) and 238U (MT=59-77), 9246 1451 223 with the assumption that similar states exist for 241U. The 9246 1451 224 angular distributions of all excited levels are represented by 9246 1451 225 Legendre expansions. 9246 1451 226 The (n,n'continuum) inelastic data (resulting from compound 9246 1451 227 nucleus and preequilibrium reactions at excitation energies in 9246 1451 228 241U above 0.123 MeV) are given as energy-angle correlated 9246 1451 229 continuous spectra and were calculated with the GNASH code. The 9246 1451 230 results are given in File 6 of the ENDF/B-formatted evaluation 9246 1451 231 (ENDF-6 format) and utilize systematics by Kalbach (Ka88) for 9246 1451 232 angular distribution information, parameterized in terms of 9246 1451 233 preequilibrium ratios calculated in GNASH. 9246 1451 234 9246 1451 235 F. Cross Sections for 241U(n,xn) Reactions 9246 1451 236 9246 1451 237 The 241U(n,2n), (n,3n), and (n,4n) cross sections result 9246 1451 238 entirely from the theoretical analysis and GNASH calculations. 9246 1451 239 Energy-angle correlated distributions are given for all the 9246 1451 240 241U(n,xn) reactions, making use of Kalbach's systematics (Ka88) 9246 1451 241 and the ENDF/B-6 File 6 representation. 9246 1451 242 9246 1451 243 G. Nubar 9246 1451 244 9246 1451 245 The evaluation of delayed nubar were carried over directly 9246 1451 246 from the ENDF/B-VI evaluation of 237U. The prompt nubar 9246 1451 247 evaluation is based on the systematics of Manero and Konshin 9246 1451 248 (Ma72), updated using experimental values for targets of 235U 9246 1451 249 and 238U . 9246 1451 250 9246 1451 251 H. Fission Neutron Spectra 9246 1451 252 9246 1451 253 The fission neutron spectra in the revised evaluation is 9246 1451 254 carried over directly from the 237U evaluation in ENDF/B-VI. A 9246 1451 255 maxwellian representation is used for the spectrum shape, with 9246 1451 256 energy-dependent temperature parameters based on systematics. 9246 1451 257 9246 1451 258 9246 1451 259 IV. CONCLUSIONS 9246 1451 260 9246 1451 261 The new analysis of n + 241U nuclear data should provide an 9246 1451 262 approximate representation of most reactions over the incident 9246 1451 263 energy range 10 keV to 30 MeV. This evaluation is regarded as 9246 1451 264 preliminary until some of our assumptions concerning structure 9246 1451 265 and fission barriers can be better assessed. Theoretical 9246 1451 266 estimates of the structure of 241U are needed. Also, further 9246 1451 267 work is needed to obtain better theoretical estimates of all the 9246 1451 268 cross sections but particularly fission. Additionally, 9246 1451 269 improvements to the evaluations of nubar and the fission neutron 9246 1451 270 spectra using the Madland-Nix approach will be considered in the 9246 1451 271 future. 9246 1451 272 9246 1451 273 **************************************************************** 9246 1451 274 9246 1451 275 REFERENCES 9246 1451 276 9246 1451 277 Ar82. E. D. Arthur, "Use of the Statistical Model for the 9246 1451 278 Calculation of Compound Nucleus Contributions to Inelastic 9246 1451 279 Scattering on Actinide Nuclei," Proc. of OECD/NEA Specialists' 9246 1451 280 Meeting on Fast Neutron Scattering on Actinide Nuclei, (Paris, 9246 1451 281 November, 1981), NEANDC-158 "U" (1982) p. 145. 9246 1451 282 9246 1451 283 Ba74 B. B. Back, O. Hansen, H. C. Britt, and J. D. Garrett, 9246 1451 284 "Fission of Doubly Even Actinide Nuclei Induced by Direct 9246 1451 285 Reactions, " Phys. Rev. C 9, 1924 (1974). 9246 1451 286 9246 1451 287 Br82 H. C. Britt, personal communication, 1982. 9246 1451 288 9246 1451 289 Du70 C. L. Dunford, "A Unified Model for Analysis of Compound 9246 1451 290 Nucleus Reactions,"AI-AEC-12931, Atomics Int. (1970). 9246 1451 291 9246 1451 292 Gi65 A. Gilbert and A. G. W. Cameron, "A Composite Nuclear- 9246 1451 293 Level Density Formula with Shell Corrections," Can. J. Phys. 43, 9246 1451 294 1446 (1965). 9246 1451 295 9246 1451 296 Ha82 G. Haouat, J. Lachkar, Ch. Lagrange, J. Jary, J. Sigaud, 9246 1451 297 and Y. Patin, "Neutron Scattering Cross Sections for 232Th, 9246 1451 298 233U, 235U, 238U, 239Pu, and 242Pu Between 0.6 and 3.4 MeV," 9246 1451 299 Nucl. Sci. and Engr. 81, 491 (1982). 9246 1451 300 9246 1451 301 Ka88 C. Kalbach, "Systematics of Continuum Angular 9246 1451 302 Distributions: Extensions to Higher Energies," Phys. Rev. C37, 9246 1451 303 2350 (1988); C. Kalbach and F. M. Mann, "Phenomenology of 9246 1451 304 Continuum Angular Distributions. I. Systematics and 9246 1451 305 Parameterization," Phys. Rev. C 23, 112 (1981). 9246 1451 306 9246 1451 307 Ko90 J. Kopecky and M.Uhl, "Test of Gamma-Ray Strength 9246 1451 308 Functions in Nuclear Reaction Model Calculations," Phys. Rev. C 9246 1451 309 42, 1941 (1990). 9246 1451 310 9246 1451 311 Ma72 F. Manero and V. A. Konshin, At. En. Rev. 10, 637 (1972). 9246 1451 312 9246 1451 313 Ma78 D. G. Madland and P. G. Young, "Neutron-Nucleus Optical 9246 1451 314 Potential for the Actinide Region," Proc. Int. Conf. on Neutron 9246 1451 315 Physics and Nuclear Data for Reactors and Other Applied 9246 1451 316 Purposes, Harwell, England (pub. by OECD), p. 349 (1978). 9246 1451 317 9246 1451 318 Mc74 J. H. McNally, J. W. Barnes, B. J. Dropesky, P. A. Seeger 9246 1451 319 and K. Wolfsberg, "Neutron-Induced Fission Cross Section of 9246 1451 320 237U," Phys. Rev. C 9, 717 (1974). 9246 1451 321 9246 1451 322 Mo95 P. Moller, J. R. Nix, W. D. Myers, and W. J. Swiatecki, 9246 1451 323 "Ground-State Masses and Deformations," Atomic Data Nucl. Data 9246 1451 324 Tables 59 (1995),1. 9246 1451 325 9246 1451 326 Ra70 J. Raynal, "Optical-Model and Coupled-Channel Calculations 9246 1451 327 in Nuclear Physics," IAEA SMR-9/8, Int. At. En. Agency (1970). 9246 1451 328 9246 1451 329 Yo88 P. G. Young and E. D. Arthur, "Calculation of 235U(n,n') 9246 1451 330 Cross Sections for ENDF/B-VI," Int. Conf. on Nucl. Data for 9246 1451 331 Science and Technology, Mito, Japan, May 30 - June 3, 1988 (Ed. 9246 1451 332 S. Igarasi, Saikon Publ. Co., Ltd., 1988) p. 603. 9246 1451 333 9246 1451 334 Yo92a P. G. Young and E. D. Arthur, "Theoretical Analyses of 9246 1451 335 (n,xn) Reactions on 235U, 238U, 237Np, and 239Pu for ENDF/B-VI," 9246 1451 336 Proc. Int. Conf. on Nu-clear Data for Science and Technology, 9246 1451 337 Julich, Germany, 13-17 May 1991 (LA-UR-91-1424), [Ed. S. M. 9246 1451 338 Qaim, Springer-Verlag, Germany (1992)], p. 894. 9246 1451 339 9246 1451 340 Yo92b P. G. Young, E. D. Arthur, and M. B. Chadwick, 9246 1451 341 "Comprehensive Nuclear Model Calculations: Introduction to the 9246 1451 342 Theory and Use of the GNASH Code," Los Alamos National 9246 1451 343 Laboratory report LA-12343-MS (1992). 9246 1451 344 9246 1451 345 Yo94 P. G. Young, "Preliminary Evaluation of n + 237U 9246 1451 346 Reactions," Los Alamos National Laboratory internal memo #T-2: 9246 1451 347 M-3669 (P. G. Young to R. C. Little, 3 February 1994). 9246 1451 348 9246 1451 349 Yo98 P. G. Young, "Preliminary Evaluation of n + 237U 9246 1451 350 Reactions," October, 1998. 9246 1451 351 9246 1451 352 **************************************************************** 9246 1451 353 Note that MF=12,13,14,15 were taken over directly from the 237U 9246 1451 354 ENDF/B-VI eval. Gamma production data are taken from an LLNL 9246 1451 355 evaluation. 9246 1451 356 **************************************************************** 9246 1451 357 9246 1451 358 M-3669 (P. G. Young to R. C. Little, 3 February 1994). 9246 1451 359 9246 1451 360 Yo98 P. G. Young, "Preliminary Evaluation of n + 237U 9246 1451 361 Reactions," October, 1998. 9246 1451 362 9246 1451 363 ******************************************************************9246 1451 364 Note that MF=12,13,14,15 were taken over directly from the 237U 9246 1451 365 ENDF/B-VI eval.Gamma production data are from an LLNL evaluation.9246 1451 366 ******************************************************************9246 1451 367 9246 1451 368 ***************** Program LINEAR (VERSION 2007-1) ***************9246 1451 369 For All Data Greater than 1.0000E-10 barns in Absolute Value 9246 1451 370 Data Linearized Using Energy Dependent Uncertainty 9246 1451 371 Energy Accuracy 9246 1451 372 (eV) (per-cent) 9246 1451 373 ----------- ----------- 9246 1451 374 0.0 .010000000 9246 1451 375 1.00000000 .010000000 9246 1451 376 10.0000000 .100000000 9246 1451 377 2.00000E+9 .100000000 9246 1451 378 ***************** Program RECENT (VERSION 2007-1) ***************9246 1451 379 for All Data Greater than 1.0000E-10 barns in Absolute Value 9246 1451 380 Data Linearized Using Energy Dependent Uncertainty 9246 1451 381 Energy Accuracy 9246 1451 382 (eV) (per-cent) 9246 1451 383 ----------- ----------- 9246 1451 384 0.0 .010000000 9246 1451 385 1.00000000 .010000000 9246 1451 386 10.0000000 .100000000 9246 1451 387 2.00000E+9 .100000000 9246 1451 388 ***************** Program SIGMA1 (VERSION 2007-1) ***************9246 1451 389 Data Doppler Broadened to 900.000000 Kelvin 9246 1451 390 for All Data Greater than 1.0000E-10 barns in Absolute Value 9246 1451 391 Data Linearized Using Energy Dependent Uncertainty 9246 1451 392 Energy Accuracy 9246 1451 393 (eV) (per-cent) 9246 1451 394 ----------- ----------- 9246 1451 395 0.0 .010000000 9246 1451 396 1.00000000 .010000000 9246 1451 397 10.0000000 .100000000 9246 1451 398 2.00000E+9 .100000000 9246 1451 399 ***************** Program FIXUP (Version 2007-1) ****************9246 1451 400 Corrected ZA/AWR in All Sections-----------------------------Yes 9246 1451 401 Corrected Thresholds-----------------------------------------No 9246 1451 402 Extended Cross Sections to 20 MeV----------------------------No 9246 1451 403 Allow Cross Section Deletion---------------------------------Yes 9246 1451 404 Allow Cross Section Reconstruction---------------------------Yes 9246 1451 405 Make All Cross Sections Non-Negative-------------------------Yes 9246 1451 406 Delete Energies Not in Ascending Order-----------------------Yes 9246 1451 407 Deleted Duplicate Points-------------------------------------Yes 9246 1451 408 Check for Ascending MAT/MF/MT Order--------------------------Yes 9246 1451 409 Check for Legal MF/MT Numbers--------------------------------Yes 9246 1451 410 Allow Creation of Missing Sections---------------------------No 9246 1451 411 Allow Insertion of Energy Points-----------------------------No 9246 1451 412 Create Uniform Energy Grid-----------------------------------No 9246 1451 413 Delete Section if Cross Section =0 at All Energies-----------Yes 9246 1451 414 **************** Program DICTIN (VERSION 2007-1) ****************9246 1451 415 1 451 505 19246 1451 416 1 452 5 09246 1451 417 1 455 7 19246 1451 418 1 456 4 09246 1451 419 2 151 46 09246 1451 420 3 1 3597 19246 1451 421 3 2 830 19246 1451 422 3 4 43 19246 1451 423 3 16 16 19246 1451 424 3 17 13 19246 1451 425 3 18 1929 19246 1451 426 3 19 1929 19246 1451 427 3 19 1929 19246 1451 428 3 51 22 19246 1451 429 3 52 23 19246 1451 430 3 53 19 19246 1451 431 3 54 16 19246 1451 432 3 55 17 19246 1451 433 3 56 18 19246 1451 434 3 57 18 19246 1451 435 3 58 16 19246 1451 436 3 59 16 19246 1451 437 3 60 18 19246 1451 438 3 61 15 19246 1451 439 3 62 15 19246 1451 440 3 63 15 19246 1451 441 3 64 15 19246 1451 442 3 65 14 19246 1451 443 3 66 14 19246 1451 444 3 67 13 19246 1451 445 3 68 17 19246 1451 446 3 69 17 19246 1451 447 3 70 17 19246 1451 448 3 71 16 19246 1451 449 3 72 16 19246 1451 450 3 73 16 19246 1451 451 3 74 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7.44990874 24.9994415 7.78837492 25.0101993 8.273352309246 310211900 25.0200606 8.77572488 25.0299219 9.34371468 25.0397833 9.989339579246 310211901 25.0463575 10.4698343 25.0529317 10.9960055 25.0595060 11.57331249246 310211902 25.0660802 12.2078177 25.0726544 12.9062963 25.0792286 13.67625979246 310211903 25.0858028 14.5260247 25.0923770 15.4647731 25.0989512 16.50261239246 310211904 25.1055254 17.6506333 25.1115020 18.8000993 25.1168810 19.92921329246 310211905 25.1222599 21.1559314 25.1276388 22.4885478 25.1330177 23.93587279246 310211906 25.1383966 25.5072619 25.1437755 27.2126236 25.1491544 29.06241989246 310211907 25.1545333 31.0676646 25.1599122 33.2399163 25.1652911 35.59126429246 310211908 25.1706700 38.1343100 25.1760489 40.8821410 25.1814278 43.84829789246 310211909 25.1868067 47.0467327 25.1921856 50.4917613 25.1989391 55.18884479246 310211910 25.2050353 59.8068667 25.2111313 64.8061680 25.2172274 70.20896819246 310211911 25.2233235 76.0370543 25.2294196 82.3119711 25.2355157 89.05471589246 310211912 25.2416118 96.2854953 25.2477079 104.023465 25.2538040 112.2864509246 310211913 25.2599000 121.090508 25.2665938 131.398272 25.2732875 142.3913829246 310211914 25.2799813 154.082199 25.2866750 166.478146 25.2933688 179.5826069246 310211915 25.3034094 200.560760 25.3134500 223.094164 25.3230125 245.9422219246 310211916 25.3325750 270.058416 25.3469188 308.351413 25.3646094 358.3622549246 310211917 25.4062063 480.326118 25.4224625 525.861263 25.4363282 561.9558049246 310211918 25.4492375 592.379242 25.4599954 614.831512 25.4731438 638.0759609246 310211919 25.4827063 651.742962 25.4922688 662.453500 25.5047000 671.7014249246 310211920 25.5197323 675.535318 25.5299450 673.479470 25.5417069 666.4883019246 310211921 25.5544250 653.546751 25.5659000 637.350881 25.5759407 619.9412199246 310211922 25.5869375 597.750759 25.5993688 569.244272 25.6137125 532.6726609246 310211923 25.6323594 480.927402 25.6777813 348.557500 25.6906907 312.3532099246 310211924 25.7036000 277.773320 25.7150750 248.712432 25.7265500 221.4437979246 310211925 25.7351563 202.256170 25.7437625 184.196748 25.7530860 165.9298099246 310211926 25.7602579 152.801498 25.7674298 140.471455 25.7746016 128.9293049246 310211927 25.7817735 118.158896 25.7889454 108.139972 25.7961173 98.84819469246 310211928 25.8032891 90.2561014 25.8089668 83.9302815 25.8152422 77.40752579246 310211929 25.8215176 71.3556113 25.8277930 65.7516206 25.8340684 60.57226179246 310211930 25.8403438 55.7940984 25.8466192 51.3937578 25.8528946 47.34811389246 310211931 25.8591700 43.6344488 25.8654454 40.2305930 25.8717208 37.11504139246 310211932 25.8765020 34.9219754 25.8818810 32.6293377 25.8872599 30.50995919246 310211933 25.8926388 28.5521507 25.8980177 26.7447861 25.9033966 25.07726749246 310211934 25.9087755 23.5395307 25.9141544 22.1220469 25.9195333 20.81581859246 310211935 25.9249122 19.6123726 25.9302911 18.5037510 25.9356700 17.48249729246 310211936 25.9410489 16.5416418 25.9464278 15.6746857 25.9518067 14.87558139246 310211937 25.9571856 14.1387138 25.9634610 13.3507747 25.9706329 12.53564229246 310211938 25.9778048 11.8017841 25.9849766 11.1400312 25.9921485 10.54217109246 310211939 25.9993204 10.0009181 26.0064923 9.50979440 26.0136641 9.063067609246 310211940 26.0208360 8.65565316 26.0315938 8.10861693 26.0423516 7.627196799246 310211941 26.0531094 7.20075867 26.0638673 6.82056000 26.0746250 6.479439559246 310211942 26.0889688 6.07537422 26.1033125 5.71932314 26.1176563 5.402716629246 310211943 26.1320000 5.11892301 26.1463438 4.86275652 26.1606875 4.630134709246 310211944 26.1798125 4.35105443 26.1989375 4.10204746 26.2180625 3.878455299246 310211945 26.2395782 3.65276197 26.2634844 3.42930417 26.2873907 3.230290559246 310211946 26.3112969 3.05215801 26.3352032 2.89201779 26.3591094 2.747498969246 310211947 26.3830157 2.61662850 26.4069219 2.49775279 26.4547344 2.290591209246 310211948 26.4905938 2.15770260 26.5264532 2.04082289 26.5623125 1.937627449246 310211949 26.5981719 1.84622108 26.6340313 1.76504834 26.6698907 1.692822769246 310211950 26.7057500 1.62847377 26.7502642 1.55821651 26.7947784 1.497306479246 310211951 26.8392926 1.44459079 26.8838068 1.39912819 26.9283210 1.360149019246 310211952 26.9728352 1.32702454 27.0396065 1.28722359 27.0891664 1.264669319246 310211953 27.1437720 1.24617197 27.1983775 1.23396313 27.2802858 1.226932629246 310211954 27.3467423 1.23101781 27.4131987 1.24402648 27.4796551 1.266398599246 310211955 27.5461115 1.29887961 27.5904158 1.32667843 27.6539600 1.376122889246 310211956 27.7116800 1.43208601 27.7501600 1.47606220 27.7886400 1.526068149246 310211957 27.8271200 1.58283127 27.8656000 1.64722299 27.9040800 1.720291879246 310211958 27.9425600 1.80330764 27.9738250 1.87914058 28.0050900 1.963555679246 310211959 28.0363550 2.05774239 28.0676200 2.16312492 28.0988850 2.281420349246 310211960 28.1301500 2.41471564 28.1614150 2.56557183 28.1848638 2.692122779246 310211961 28.2047050 2.80950496 28.2287550 2.96622391 28.2528050 3.141139569246 310211962 28.2768550 3.33735044 28.3009050 3.55877260 28.3189425 3.744379439246 310211963 28.3369800 3.94972079 28.3550175 4.17825101 28.3730550 4.434420879246 310211964 28.3850800 4.62336856 28.4019150 4.91707836 28.4145413 5.163831739246 310211965 28.4271675 5.43779358 28.4397938 5.74412973 28.4524200 6.089288229246 310211966 28.4650463 6.48135051 28.4734638 6.77367190 28.4818813 7.094867619246 310211967 28.4902988 7.44909652 28.4987163 7.84116724 28.5071338 8.276628259246 310211968 28.5155513 8.76186663 28.5227663 9.22293427 28.5317850 9.866275629246 310211969 28.5377975 10.3418156 28.5438100 10.8591217 28.5498225 11.42241489246 310211970 28.5558350 12.0363041 28.5618475 12.7058117 28.5678600 13.43639789246 310211971 28.5738725 14.2339854 28.5798850 15.1049840 28.5858975 16.05631289246 310211972 28.5919100 17.0954214 28.5979225 18.2303097 28.6039350 19.46954419246 310211973 28.6099475 20.8222714 28.6159600 22.2982288 28.6213713 23.74049429246 310211974 28.6267825 25.2988569 28.6321938 26.9817101 28.6376050 28.79771009246 310211975 28.6430163 30.7560160 28.6484275 32.8660074 28.6538388 35.13755649246 310211976 28.6592500 37.5806927 28.6646613 40.2059130 28.6700725 43.02378619246 310211977 28.6754838 46.0453047 28.6808950 49.2814238 28.6863063 52.74345959246 310211978 28.6917175 56.4425546 28.6971288 60.3901295 28.7044640 66.15782949246 310211979 28.7102360 71.0498034 28.7179320 78.0810972 28.7256280 85.72096419246 310211980 28.7333240 93.9973307 28.7410200 102.935655 28.7487160 112.5583139246 310211981 28.7564120 122.883961 28.7641080 133.926880 28.7731268 147.7927919246 310211982 28.7821455 162.660880 28.7911643 178.524219 28.8001830 195.3617979246 310211983 28.8122080 219.264673 28.8218280 239.504345 28.8362580 271.5147709246 310211984 28.8550170 315.485006 28.8987880 421.831351 28.9170660 464.2004269246 310211985 28.9314960 495.212396 28.9444830 520.555806 28.9560270 540.5705639246 310211986 28.9680520 558.498918 28.9824820 575.584282 28.9964310 587.0649599246 310211987 29.0084560 592.736007 29.0197306 594.383751 29.0300048 592.7654619246 310211988 29.0418374 587.252166 29.0546320 577.026669 29.0661760 564.1966409246 310211989 29.0796440 545.247898 29.0911880 525.942502 29.1046560 500.3388589246 310211990 29.1205290 466.704364 29.1392880 423.516232 29.1873880 307.3387649246 310211991 29.2047040 267.257762 29.2191340 235.666057 29.2306780 211.8500799246 310211992 29.2422220 189.482993 29.2508800 173.717952 29.2617025 155.2731329246 310211993 29.2689175 143.766915 29.2761325 132.894659 29.2833475 122.6525349246 310211994 29.2905625 113.032509 29.2977775 104.022811 29.3049925 95.60839259246 310211995 29.3128088 87.1436999 29.3191219 80.7840374 29.3254350 74.83475859246 310211996 29.3317482 69.2800014 29.3380613 64.1034650 29.3443744 59.28806969246 310211997 29.3506875 54.8164893 29.3570007 50.6711585 29.3633138 46.83467589246 310211998 29.3696269 43.2895421 29.3759400 40.0185451 29.3813513 37.42017729246 310211999 29.3867625 35.0004482 29.3921738 32.7491266 29.3975850 30.65644129246 310212000 29.4029963 28.7127733 29.4084075 26.9089875 29.4138188 25.23616019246 310212001 29.4192300 23.6858589 29.4246413 22.2499039 29.4300525 20.92060279246 310212002 29.4354638 19.6905393 29.4408750 18.5527712 29.4462863 17.50064389246 310212003 29.4516975 16.5279536 29.4571088 15.6287851 29.4625200 14.79764669246 310212004 29.4697350 13.7863439 29.4769500 12.8754156 29.4841650 12.05449409246 310212005 29.4913800 11.3141542 29.4985950 10.6458563 29.5058100 10.04188629246 310212006 29.5130250 9.49529530 29.5202400 8.99984259 29.5274550 8.549936649246 310212007 29.5346700 8.14058042 29.5418850 7.76731816 29.5527075 7.266550519246 310212008 29.5635300 6.82662139 29.5743525 6.43789426 29.5827700 6.165771169246 310212009 29.5923900 5.88266663 29.6020100 5.62543828 29.6164400 5.280743629246 310212010 29.6308700 4.97722529 29.6453000 4.70754661 29.6597300 4.465985009246 310212011 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