JENDL-4.0 U233 pointwise at 0K 0 0 9.223300+4 2.310380+2 2 1 6 19222 1451 1 0.000000+0 1.000000+0 0 0 0 69222 1451 2 1.000000+0 2.000000+7 0 0 10 49222 1451 3 0.000000+0 0.000000+0 1 0 698 1369222 1451 4 92-U -233 JAEA+ EVAL-JAN10 O.Iwamoto,N.Otuka,S.Chiba,et al. 9222 1451 5 DIST-MAY10 20100326 9222 1451 6 ----JENDL-4.0 MATERIAL 9222 9222 1451 7 -----INCIDENT NEUTRON DATA 9222 1451 8 ------ENDF-6 FORMAT 9222 1451 9 9222 1451 10 History 9222 1451 11 06-07 Total and fission cross sections were modified. 9222 1451 12 06-10 Nu-p was modified. 9222 1451 13 07-06 Theoretical calculation was made with CCONE code. 9222 1451 14 07-08 Theoretical calculation was made with CCONE code. 9222 1451 15 07-11 Fission cross section was revised with simultaneous 9222 1451 16 evaluation. 9222 1451 17 07-12 Fission cross section was revised with new results of 9222 1451 18 simultaneous evaluation. 9222 1451 19 08-01 Fission cross section was revised. 9222 1451 20 08-02 Fission cross section and nu-p were revised. 9222 1451 21 CCONE calculation was made with revised parameters. 9222 1451 22 08-03 Interpolation of (5,18) was changed. 9222 1451 23 Data were compiled as JENDL/AC-2008/1/. 9222 1451 24 09-04 MF01 was revised. 9222 1451 25 09-08 (MF1,MT458) was evaluated. 9222 1451 26 09-10 fission cross section was revised. 9222 1451 27 10-01 Data of prompt gamma rays due to fission were given. 9222 1451 28 10-03 Covariance data were given. 9222 1451 29 9222 1451 30 9222 1451 31 MF= 1 General information 9222 1451 32 MT=452 Number of Neutrons per fission 9222 1451 33 Sum of MT=455 and 456. 9222 1451 34 9222 1451 35 MT=455 Delayed neutron data 9222 1451 36 At the thermal neutron energy, nu-d of 0.0067 was obtained 9222 1451 37 from the data of Borzakov et al./2/, Conant et al./3/ and 9222 1451 38 Keepin et al./4/. 9222 1451 39 Nu-d above 10 keV was determined from experimental data 9222 1451 40 measured by Krick and Evans/5,6/, Piksaykin et al./7/, 9222 1451 41 and Masters et al./8/. 9222 1451 42 9222 1451 43 Decay constants were taken from Ref./9/. 9222 1451 44 9222 1451 45 MT=456 Number of prompt neutrons per fission 9222 1451 46 Nu-p was determined from the data of Protopopov et al./10/, 9222 1451 47 Smirenkin et al./11/, Flerov et al./12/, Hopkins et al./13/, 9222 1451 48 Colvin et al./14,15/, Mather et al./16/, Walsh et al./17/, 9222 1451 49 Hockenbury/18/, Nurpeisov et al./19,20/, Sergachev et al./21/,9222 1451 50 Nefedov et al./22/, and Gwin et al./23,24/ 9222 1451 51 Nu-p of Cf-252 SF = 3.756+-0.031 /25/ was used. 9222 1451 52 They were reproduced with two straight lines below and above 9222 1451 53 about 1.5 MeV. 9222 1451 54 9222 1451 55 MT=458 Components of energy release due to fission 9222 1451 56 Total energy and prompt energy were calculated from mass 9222 1451 57 balance using JENDL-4 fission yields data and mass excess 9222 1451 58 evaluation. Mass excess values were from Audi's 2009 9222 1451 59 evaluation/26/. Delayed energy values were calculated from 9222 1451 60 the energy release for infinite irradiation using JENDL FP 9222 1451 61 Decay Data File 2000 and JENDL-4 yields data. For delayed 9222 1451 62 neutron energy, as the JENDL FP Decay Data File 2000/27/ does 9222 1451 63 not include average neutron energy values, the average values 9222 1451 64 were calculated using the formula shown in the report by 9222 1451 65 T.R. England/28/. The fractions of prompt energy were 9222 1451 66 calculated using the fractions of Sher's evaluation/29/ when 9222 1451 67 they were provided. When the fractions were not given by Sher,9222 1451 68 averaged fractions were used. 9222 1451 69 9222 1451 70 9222 1451 71 MF= 2 Resonance parameters 9222 1451 72 MT=151 9222 1451 73 Resolved resonance parameters (RM: 1.0-5 eV - 600 eV) 9222 1451 74 Evaluation by Leal et al. for ENDF/B-VII.0 was adopted. 9222 1451 75 9222 1451 76 See Appendix A1. 9222 1451 77 9222 1451 78 Unresolved resonance parameters (600 eV - 30 keV) 9222 1451 79 Parameters were determined with ASREP code/30/ so as to 9222 1451 80 reproduce total, fission and capture cross sections. 9222 1451 81 9222 1451 82 Thermal cross sections and resonance integrals (at 300K) 9222 1451 83 ------------------------------------------------------- 9222 1451 84 0.0253 eV reson. integ.(*) 9222 1451 85 (barns) (barns) 9222 1451 86 ------------------------------------------------------- 9222 1451 87 total 588.77 9222 1451 88 elastic 12.18 9222 1451 89 fission 531.34 775 9222 1451 90 capture 45.26 139 9222 1451 91 ------------------------------------------------------- 9222 1451 92 (*) In the energy range from 0.5 eV to 10 MeV. 9222 1451 93 9222 1451 94 9222 1451 95 MF= 3 Neutron cross sections 9222 1451 96 Cross sections above the resolved resonance region except for 9222 1451 97 the total (MT=1), elastic scattering (MT=2) and fission cross 9222 1451 98 sections (MT=18, 19, 20, 21, 38) were calculated with CCONE 9222 1451 99 code/31/. The model parameters were determined by considering 9222 1451 100 integral experimental data as well as measured cross-section 9222 1451 101 data. 9222 1451 102 9222 1451 103 In the CCONE calculation the CC OMP of Soukhovitskii et al./32/ 9222 1451 104 was modified so as to reproduce well the experimental data of 9222 1451 105 total cross section measured by Poenitz et al./33,34/ and 9222 1451 106 Guber et al./35/ 9222 1451 107 9222 1451 108 Other parameters of CCONE calculation were adjusted to the 9222 1451 109 fission cross section of JENDL-3.3 and the capture cross section9222 1451 110 measured by Hopkins and Diven/36/. 9222 1451 111 9222 1451 112 The results of CC calculation for the elastic scattering was 9222 1451 113 increased by 0.2 b above 1.5 MeV to improve integral benchmark 9222 1451 114 tests. 9222 1451 115 9222 1451 116 MT=1 Total cross section 9222 1451 117 Experimental data measured after 1960 were anlyzed by the GMA 9222 1451 118 code/37/ with the Chiba and Smith approach/38/ for PPP 9222 1451 119 minimization. 9222 1451 120 9222 1451 121 Experimental data sets are summarized below. 9222 1451 122 --------------------------------------------------------------9222 1451 123 EXFOR Energy range (eV) Authors Reference 9222 1451 124 --------------------------------------------------------------9222 1451 125 10047.095 2.26E+6 - 1.50E+7 D.G.Foster Jr.+ /39/ 9222 1451 126 10225.028 5.05E+5 - 7.96E+6 L.Green+ /40/ 9222 1451 127 10025.028 9.00E+5 - 9.89E+6 L.Green+ /40/ 9222 1451 128 10833.003 4.00E+4 - 2.09E+5 W.P.Poenitz+ /41/ 9222 1451 129 10833.002 5.80E+4 - 4.43E+6 W.P.Poenitz+ /41/ 9222 1451 130 10935.005 4.80E+4 - 4.81E+6 W.P.Poenitz+ /33/ 9222 1451 131 12323.002 3.40E+3 - 1.61E+6 D.C.Stupegia /42/ 9222 1451 132 12333.002 6.01E+2 - 8.81E+3 N.J.Pattenden+ /43/ 9222 1451 133 12853.053 1.82E+6 - 2.03E+7 W.P.Poenitz+ /34/ 9222 1451 134 13891.004 6.09E+2 - 6.85E+5 K.H.Guber+ /35/ 9222 1451 135 --------------------------------------------------------------9222 1451 136 9222 1451 137 MT=2 Elastic scattering cross section 9222 1451 138 Calculated as total - non-elstic scattering cross sections 9222 1451 139 9222 1451 140 MT=18 Fission cross section 9222 1451 141 Below 10 keV, experimental data measured after 1960 were 9222 1451 142 anlyzed by the GMA code/37/ with the Chiba and Smith 9222 1451 143 approach/38/ for PPP minimization. Data were normalized to 9222 1451 144 absolute cross section by adopting the JENDL-3.3 U-235(n,f) 9222 1451 145 cross section if the data were given as the ratios to the 9222 1451 146 U-235(n,f) cross section. 9222 1451 147 9222 1451 148 Above 10 keV, experimental data measured after 1960 were 9222 1451 149 analyzed by simultaneous fitting of U-233, U-235, U-238, 9222 1451 150 Pu-239, Pu-240 and Pu-241 fission cross sections and their 9222 1451 151 ratio by the SOK code/44/. Covariance matrix reported in 9222 1451 152 Manabe et al./45/ was also considered in the analysis. 9222 1451 153 9222 1451 154 Experimental data sets are summarized below. 9222 1451 155 g: used in GMA analysis, s: used in SOK analysis 9222 1451 156 --------------------------------------------------------------9222 1451 157 Cross section 9222 1451 158 --------------------------------------------------------------9222 1451 159 EXFOR Energy range (eV) Authors Reference 9222 1451 160 --------------------------------------------------------------9222 1451 161 gs 13890.002 6.00E+2 - 7.01E+5 K.H.Guber+ /46/ 9222 1451 162 gs 40927.002 1.94E+6 V.I.Shpakov /47/ 9222 1451 163 gs 12910.002 1.46E+7 K.R.Zasadny+ /48/ 9222 1451 164 s 40911.003 1.47E+7 I.D.Alkhazov+ /49/ 9222 1451 165 s 40610.002 4.40E+4 E.A.Zhagrov+ /50/ 9222 1451 166 s 40587.002 2.45E+4 A.V.Murzin+ /51/ 9222 1451 167 gs 10756.002 1.37E+5 - 8.05E+6 W.P.Poenitz /52/ 9222 1451 168 gs 40547.003 1.48E+7 V.M.Adamov+ /53/ 9222 1451 169 gs 32625.002 5.00E+5 - 1.00E+6 W.G.Yan+ /54/ 9222 1451 170 s 20446.002 5.00E+3 - 3.00E+4 S.Nizamuddin+ /55/ 9222 1451 171 g 20003.005 6.00E+2 - 3.00E+3 M.G.Cao+ /56/ 9222 1451 172 gs 10056.002 6.00E+2 - 9.87E+3 D.W.Bergen /57/ 9222 1451 173 s 30035.003 1.41E+7 R.H.Iyer+ /58/ 9222 1451 174 s 10267.041 7.50E+3 - 8.50E+4 R.Gwin+ /59/ 9222 1451 175 g 10056.002 6.41E+4 - 2.85E+6 D.W.Bergen /57/ 9222 1451 176 g 12360.002 6.00E+2 - 9.78E+5 D.W.Bergen+ /60/ 9222 1451 177 g 21463.002 4.00E+4 - 5.05E+5 P.H.White+ /61/ 9222 1451 178 g 40650.002 2.80E+5 - 2.63E+6 G.N.Smirenkin+ /62/ 9222 1451 179 g 12341.002 6.13E+2 - 9.60E+2 M.S.Moore+ /63/ 9222 1451 180 --------------------------------------------------------------9222 1451 181 9222 1451 182 Ratio to U-235(n,f) cross section 9222 1451 183 --------------------------------------------------------------9222 1451 184 EXFOR Energy range (eV) Authors Reference 9222 1451 185 --------------------------------------------------------------9222 1451 186 gs 41455.002 5.77E+5 - 9.75E+6 O.A.Shcherbakov+ /64/ 9222 1451 187 gs 41455.002 1.01E+7 - 1.94E+7 O.A.Shcherbakov+ /64/ 9222 1451 188 gs 13134.004 1.47E+7 J.W.Meadows+ /65/ 9222 1451 189 g 41432.003 2.00E+4 - 6.38E+6 D.L.Shpak /66/ 9222 1451 190 gs 22014.003 4.90E+5 - 6.97E+6 K.Kanda+ /67/ 9222 1451 191 gs 40607.002 6.42E+5 - 8.25E+5 D.L.Shpak+ /68/ 9222 1451 192 gs 40474.002 2.40E+4 - 7.40E+6 B.I.Fursov+ /69/ 9222 1451 193 g 40474.002 1.27E+5 - 7.00E+6 B.I.Fursov+ /69/ 9222 1451 194 s 40361.003 1.50E+4 - 1.94E+6 D.L.Shpak+ /70/ 9222 1451 195 gs 10236.002 1.42E+5 - 9.37E+6 J.W.Meadows /71/ 9222 1451 196 g 10562.003 8.50E+2 - 1.95E+7 G.W.Carlson+ /72/ 9222 1451 197 gs 20363.002 5.20E+3 - 1.01E+6 E.Pfletschinger+ /73/ 9222 1451 198 g 10084.003 6.60E+2 - 2.40E+4 W.K.Lehto+ /74/ 9222 1451 199 g 40309.003 4.85E+5 - 2.51E+6 V.G.Nesterov+ /75/ 9222 1451 200 g 40027.004 3.30E+5 - 2.58E+6 G.N.Smirenkin+ /76/ 9222 1451 201 s 22282.003 1.35E+7 - 1.49E+7 F.Manabe+ /45/ 9222 1451 202 --------------------------------------------------------------9222 1451 203 9222 1451 204 The obtained cross section in the energy range from 1 to 4 9222 1451 205 MeV and from 7 to 8 MeV was slightly modified for JENDL-4. 9222 1451 206 9222 1451 207 MT=19, 20, 21, 38 Multi-chance fission cross sections 9222 1451 208 Calculated with CCONE code, and renormalized to the total 9222 1451 209 fission cross section (MT=18). 9222 1451 210 9222 1451 211 9222 1451 212 MF= 4 Angular distributions of secondary neutrons 9222 1451 213 MT=2 Elastic scattering 9222 1451 214 Calculated with CCONE code. 9222 1451 215 9222 1451 216 MT=18 Fission 9222 1451 217 Isotropic distributions in the laboratory system were assumed.9222 1451 218 9222 1451 219 9222 1451 220 MF= 5 Energy distributions of secondary neutrons 9222 1451 221 MT=18 Prompt fission neutron spectrum 9222 1451 222 Below 5 MeV, data of JENDL-3.3/77/ were adopted. 9222 1451 223 Comment of JENDL-3.3: 9222 1451 224 * Distributions were calculated with the modified Madland-Nix 9222 1451 225 model/78,79/. The compound nucleus formation cross 9222 1451 226 sections for fission fragments (FF) were calculated using 9222 1451 227 Becchetti-Greenlees potential/80/. Up to 4th-chance-fission 9222 1451 228 were considered at high incident neuttron energies. 9222 1451 229 The Ignatyuk formula/81/ were used to generate the level 9222 1451 230 density parameters. 9222 1451 231 Parameters adopted: 9222 1451 232 Total average FF kinetic energy = 172.311-0.0212*E(MeV)9222 1451 233 Average energy release = 188.438 MeV 9222 1451 234 Average mass number of light FF = 95 9222 1451 235 Average mass number of heavy FF = 139 9222 1451 236 Level density of the light FF = 9.999- 10.094 9222 1451 237 Level density of the heavy FF = 11.89 - 12.20 9222 1451 238 Note that the parameters vary with the incident energy 9222 1451 239 within the indicated range. 9222 1451 240 9222 1451 241 Above 5.5 MeV, the distributions were calculated with CCONE 9222 1451 242 code/31/. 9222 1451 243 9222 1451 244 MT=455 Delayed neutron spectrum. 9222 1451 245 Summation calculation made by Brady and England/9/ was 9222 1451 246 adopted. 9222 1451 247 9222 1451 248 9222 1451 249 MF= 6 Energy-angle distributions 9222 1451 250 Calculated with CCONE code. 9222 1451 251 Distributions from fission (MT=18) are not included. 9222 1451 252 9222 1451 253 9222 1451 254 MF=12 Photon production multiplicities 9222 1451 255 MT=18 Fission 9222 1451 256 Calculated from the total energy released by the prompt 9222 1451 257 gamma-rays due to fission given in MF=1/MT=458 and the 9222 1451 258 average energy of gamma-rays. 9222 1451 259 9222 1451 260 9222 1451 261 MF=14 Photon angular distributions 9222 1451 262 MT=18 Fission 9222 1451 263 Isotoropic distributions were assumed. 9222 1451 264 9222 1451 265 9222 1451 266 MF=15 Continuous photon energy spectra 9222 1451 267 MT=18 Fission 9222 1451 268 Experimental data measured by Verbinski et al./82/ for 9222 1451 269 U-235 thermal fission were adopted. 9222 1451 270 9222 1451 271 9222 1451 272 MF=31 Covariances of average number of neutrons per fission 9222 1451 273 MT=452 Number of neutrons per fission 9222 1451 274 Combination of covariances for MT=455 and MT=456. 9222 1451 275 9222 1451 276 MT=455 9222 1451 277 Nu-d at 0.0253eV was estimated as 0.00067+-0.0002 from 9222 1451 278 experimental data/2,3,4/. Error of 3% was adopted. 9222 1451 279 Above 100 eV error of 8% was assumed. 9222 1451 280 9222 1451 281 MT=456 9222 1451 282 Covariance of obtained by fitting a stlight line to 9222 1451 283 experimental data (See MF1,MT456). 9222 1451 284 9222 1451 285 9222 1451 286 MF=32 Covariances of resonance parameters 9222 1451 287 Below 300 eV: covariance matrix of resonance parameters 9222 1451 288 obtained with SAMMY code /83/ was given. 9222 1451 289 9222 1451 290 9222 1451 291 MF=33 Covariances of neutron cross sections 9222 1451 292 Covariances were given to all the cross sections by using 9222 1451 293 KALMAN code/84/ and the covariances of model parameters 9222 1451 294 used in the theoretical calculations. 9222 1451 295 9222 1451 296 For the following cross sections, covariances were determined 9222 1451 297 by different methods. 9222 1451 298 9222 1451 299 MT=1, 2 Total and elastic scattering cross sections 9222 1451 300 300 - 600 eV, uncertainty of 5% was assumed. 9222 1451 301 Above 600 keV, Covariance matrix was obtained with CCONE and 9222 1451 302 KALMAN codes/84/. 9222 1451 303 9222 1451 304 MT=18 Fission cross section 9222 1451 305 300 - 600 eV, covariance matrices was calculated from those 9222 1451 306 of resonance parameters. 9222 1451 307 9222 1451 308 600 eV - 9 keV, covariances were obtained by GMA code. 9222 1451 309 9222 1451 310 Above 9 keV, covariance matrix was obtained by simultaneous 9222 1451 311 evaluation among the fission cross sections of U-233, U-235, 9222 1451 312 U-238, Pu-239, Pu-240 and Pu-241(See MF=3, MT=18, and /1/). 9222 1451 313 Since the variances are very small, they were adopted by 9222 1451 314 multiplying a factor of 2. 9222 1451 315 9222 1451 316 MT=102 Capture cross section 9222 1451 317 300 - 600 eV, covariance matrices was calculated from those 9222 1451 318 of resonance parameters. 9222 1451 319 Above 600 keV, Covariance matrix was obtained with CCONE and 9222 1451 320 KALMAN codes/84/. 9222 1451 321 9222 1451 322 9222 1451 323 MF=34 Covariances for Angular Distributions 9222 1451 324 MT=2 Elastic scattering 9222 1451 325 Covariances were given only to P1 components. 9222 1451 326 9222 1451 327 9222 1451 328 MF=35 Covariances for Energy Distributions 9222 1451 329 MT=18 Fission spectra 9222 1451 330 Below 5 MeV, based on the covarinaces given in JENDL-3.3. 9222 1451 331 Above 5 MeV, estimated with CCONE and KALMAN codes. 9222 1451 332 9222 1451 333 9222 1451 334 ***************************************************************** 9222 1451 335 Calculation with CCONE code 9222 1451 336 ***************************************************************** 9222 1451 337 9222 1451 338 Models and parameters used in the CCONE/31/ calculation 9222 1451 339 1) Coupled channel optical model 9222 1451 340 Levels in the rotational band were included. Optical model 9222 1451 341 potential and coupled levels are shown in Table 1. 9222 1451 342 9222 1451 343 2) Two-component exciton model/85/ 9222 1451 344 * Global parametrization of Koning-Duijvestijn/86/ 9222 1451 345 was used. 9222 1451 346 * Gamma emission channel/87/ was added to simulate direct 9222 1451 347 and semi-direct capture reaction. 9222 1451 348 9222 1451 349 3) Hauser-Feshbach statistical model 9222 1451 350 * Moldauer width fluctuation correction/88/ was included. 9222 1451 351 * Neutron, gamma and fission decay channel were included. 9222 1451 352 * Transmission coefficients of neutrons were taken from 9222 1451 353 coupled channel calculation in Table 1. 9222 1451 354 * The level scheme of the target is shown in Table 2. 9222 1451 355 * Level density formula of constant temperature and Fermi-gas 9222 1451 356 model were used with shell energy correction and collective 9222 1451 357 enhancement factor. Parameters are shown in Table 3. 9222 1451 358 * Fission channel: 9222 1451 359 Double humped fission barriers were assumed. 9222 1451 360 Fission barrier penetrabilities were calculated with 9222 1451 361 Hill-Wheler formula/89/. Fission barrier parameters were 9222 1451 362 shown in Table 4. Transition state model was used and 9222 1451 363 continuum levels are assumed above the saddles. The level 9222 1451 364 density parameters for inner and outer saddles are shown in 9222 1451 365 Tables 5 and 6, respectively. 9222 1451 366 * Gamma-ray strength function of Kopecky et al/90/,/91/ 9222 1451 367 was used. The prameters are shown in Table 7. 9222 1451 368 9222 1451 369 9222 1451 370 ------------------------------------------------------------------9222 1451 371 Tables 9222 1451 372 ------------------------------------------------------------------9222 1451 373 9222 1451 374 Table 1. Coupled channel calculation 9222 1451 375 -------------------------------------------------- 9222 1451 376 * rigid rotor model was applied 9222 1451 377 * coupled levels = 0,1,2,3 (see Table 2) 9222 1451 378 * optical potential parameters /32/ 9222 1451 379 Volume: 9222 1451 380 V_0 = 50.1895 MeV 9222 1451 381 lambda_HF = 0.01004 1/MeV 9222 1451 382 C_viso = 15.9 MeV 9222 1451 383 A_v = 12.04 MeV 9222 1451 384 B_v = 81.36 MeV 9222 1451 385 E_a = 385 MeV 9222 1451 386 r_v = 1.25 fm 9222 1451 387 a_v = 0.63 fm 9222 1451 388 Surface: 9222 1451 389 W_0 = 16.2027 MeV 9222 1451 390 B_s = 11.19 MeV 9222 1451 391 C_s = 0.01361 1/MeV 9222 1451 392 C_wiso = 23.5 MeV 9222 1451 393 r_s = 1.1803 fm 9222 1451 394 a_s = 0.65 fm 9222 1451 395 Spin-orbit: 9222 1451 396 V_so = 5.75 MeV 9222 1451 397 lambda_so = 0.005 1/MeV 9222 1451 398 W_so = -3.1 MeV 9222 1451 399 B_so = 160 MeV 9222 1451 400 r_so = 1.1214 fm 9222 1451 401 a_so = 0.59 fm 9222 1451 402 Coulomb: 9222 1451 403 C_coul = 1.3 9222 1451 404 r_c = 1.2452 fm 9222 1451 405 a_c = 0.545 fm 9222 1451 406 Deformation: 9222 1451 407 beta_2 = 0.205125 9222 1451 408 beta_4 = 0.076 9222 1451 409 beta_6 = 0.0015 9222 1451 410 9222 1451 411 * Calculated strength function 9222 1451 412 S0= 0.92e-4 S1= 2.11e-4 R'= 9.64 fm (En=1 keV) 9222 1451 413 -------------------------------------------------- 9222 1451 414 9222 1451 415 Table 2. Level Scheme of U-233 9222 1451 416 ------------------- 9222 1451 417 No. Ex(MeV) J PI 9222 1451 418 ------------------- 9222 1451 419 0 0.00000 5/2 + * 9222 1451 420 1 0.04035 7/2 + * 9222 1451 421 2 0.09216 9/2 + * 9222 1451 422 3 0.15523 11/2 + * 9222 1451 423 4 0.19700 7/2 + 9222 1451 424 5 0.22947 13/2 + 9222 1451 425 6 0.29881 5/2 - 9222 1451 426 7 0.30194 13/2 - 9222 1451 427 8 0.31190 3/2 + 9222 1451 428 9 0.31460 15/2 + 9222 1451 429 10 0.32083 7/2 - 9222 1451 430 11 0.33042 7/2 + 9222 1451 431 12 0.34048 5/2 + 9222 1451 432 13 0.35379 9/2 - 9222 1451 433 14 0.38043 7/2 + 9222 1451 434 15 0.39756 11/2 - 9222 1451 435 16 0.39850 1/2 + 9222 1451 436 17 0.41117 17/2 + 9222 1451 437 18 0.41576 3/2 + 9222 1451 438 19 0.42500 17/2 + 9222 1451 439 20 0.43200 9/2 + 9222 1451 440 21 0.45611 5/2 + 9222 1451 441 22 0.49700 11/2 + 9222 1451 442 23 0.50362 7/2 - 9222 1451 443 24 0.51755 19/2 + 9222 1451 444 25 0.52200 15/2 - 9222 1451 445 26 0.54654 5/2 + 9222 1451 446 27 0.56160 9/2 - 9222 1451 447 28 0.56700 5/2 - 9222 1451 448 29 0.57200 1/2 - 9222 1451 449 30 0.57500 11/2 - 9222 1451 450 ------------------- 9222 1451 451 *) Coupled levels in CC calculation 9222 1451 452 9222 1451 453 Table 3. Level density parameters 9222 1451 454 -------------------------------------------------------- 9222 1451 455 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 456 1/MeV MeV MeV MeV MeV MeV 9222 1451 457 -------------------------------------------------------- 9222 1451 458 U-234 18.4623 1.5689 2.5578 0.3903 -0.1513 3.9089 9222 1451 459 U-233 18.3945 0.7861 2.4694 0.3820 -0.8201 2.9898 9222 1451 460 U-232 18.3266 1.5757 2.6095 0.3888 -0.1142 3.8806 9222 1451 461 U-231 18.2588 0.7895 2.6793 0.3781 -0.7806 2.9485 9222 1451 462 U-230 18.1909 1.5825 2.6739 0.3937 -0.1509 3.9421 9222 1451 463 -------------------------------------------------------- 9222 1451 464 9222 1451 465 Table 4. Fission barrier parameters 9222 1451 466 ---------------------------------------- 9222 1451 467 Nuclide V_A hw_A V_B hw_B 9222 1451 468 MeV MeV MeV MeV 9222 1451 469 ---------------------------------------- 9222 1451 470 U-234 6.000 1.040 5.400 0.600 9222 1451 471 U-233 5.600 0.800 5.400 0.520 9222 1451 472 U-232 5.500 1.040 5.000 0.600 9222 1451 473 U-231 6.000 0.800 5.600 0.520 9222 1451 474 U-230 5.800 1.040 5.100 0.600 9222 1451 475 ---------------------------------------- 9222 1451 476 9222 1451 477 Table 5. Level density above inner saddle 9222 1451 478 -------------------------------------------------------- 9222 1451 479 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 480 1/MeV MeV MeV MeV MeV MeV 9222 1451 481 -------------------------------------------------------- 9222 1451 482 U-234 21.7235 1.8304 2.6000 0.3321 -0.7507 4.0304 9222 1451 483 U-233 20.2008 0.9172 2.6000 0.3667 -2.0299 3.4172 9222 1451 484 U-232 20.1263 1.8383 2.6000 0.3319 -0.5731 3.8383 9222 1451 485 U-231 20.0518 0.9211 2.6000 0.3325 -1.4903 2.9211 9222 1451 486 U-230 19.9772 1.8463 2.6000 0.3332 -0.5651 3.8463 9222 1451 487 -------------------------------------------------------- 9222 1451 488 9222 1451 489 Table 6. Level density above outer saddle 9222 1451 490 -------------------------------------------------------- 9222 1451 491 Nuclide a* Pair Eshell T E0 Ematch 9222 1451 492 1/MeV MeV MeV MeV MeV MeV 9222 1451 493 -------------------------------------------------------- 9222 1451 494 U-234 21.7235 1.8304 0.0600 0.3643 0.0626 3.9304 9222 1451 495 U-233 19.2990 0.9172 0.0200 0.4202 -1.2096 3.4172 9222 1451 496 U-232 18.3293 1.8383 -0.0200 0.4264 -0.2156 4.2383 9222 1451 497 U-231 20.0518 0.9211 -0.0600 0.3758 -0.7765 2.9211 9222 1451 498 U-230 19.9772 1.8463 -0.1000 0.3771 0.1493 3.8463 9222 1451 499 -------------------------------------------------------- 9222 1451 500 9222 1451 501 Table 7. Gamma-ray strength function for U-234 9222 1451 502 -------------------------------------------------------- 9222 1451 503 K0 = 1.600 E0 = 4.500 (MeV) 9222 1451 504 * E1: ER = 10.90 (MeV) EG = 2.50 (MeV) SIG = 299.61 (mb) 9222 1451 505 ER = 13.80 (MeV) EG = 4.70 (MeV) SIG = 450.00 (mb) 9222 1451 506 * M1: ER = 6.65 (MeV) EG = 4.00 (MeV) SIG = 2.81 (mb) 9222 1451 507 * E2: ER = 10.22 (MeV) EG = 3.30 (MeV) SIG = 6.52 (mb) 9222 1451 508 -------------------------------------------------------- 9222 1451 509 9222 1451 510 9222 1451 511 References 9222 1451 512 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9222 1451 513 2) S.B.Borzakov et al.: Phys. At. Nuclei, 61, 530 (2000). 9222 1451 514 3) J.F.Conant, P.F.Palmedo: Nucl. Sci. Eng., 44, 173 (1971). 9222 1451 515 4) G.R.Keepin et al.: Phys. Rev., 107, 1044 (1957). 9222 1451 516 5) M.S.Krick, A.E.Evans: Nucl. Sci. Eng., 47, 311 (1972). 9222 1451 517 6) A.E.Evans, M.M.Thorpd: Nucl. Sci. 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Phys. A344, 185 (1980). 9222 1451 602 89) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9222 1451 603 90) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9222 1451 604 91) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9222 1451 605 9222 1451 606 9222 1451 607 Appendix A1: Resolved resonance parameters (ENDF/B-VII.0) 9222 1451 608 ========================================================= 9222 1451 609 MT=151 RESOLVED AND UNRESOLVED RESONANCE PARAMETER EVALUATIONS 9222 1451 610 L. Leal, H. Derrien, Guber, N. Larson, R. Wright, 9222 1451 611 and R.Spencer (ORNL) 9222 1451 612 January, 2003 9222 1451 613 9222 1451 614 The resonance parameter evaluation was done by Leal, 9222 1451 615 Derrien, Guber, Larson, Wright and Spencer [LE01] using the 9222 1451 616 multilevel R-matrix analysis code SAMMY [LA96]. The resolved 9222 1451 617 resonance evaluation were performed in the energy range from 0 to 9222 1451 618 600 eV. The unresolved resonance region evaluation covers the 9222 1451 619 energy range from 600 eV to 40 keV. 9222 1451 620 The evaluation included high resolution transmission data 9222 1451 621 (GU00), fission cross section data [GU98] measured at the Oak 9222 1451 622 Ridge Electron Linear Accelerator (ORELA), in addition to other 9222 1451 623 experimental data. Integral data were also included in the 9222 1451 624 evaluation. Integral quantities and thermal values calculated 9222 1451 625 with the U-233 resonance parameter are shown in the Table below. 9222 1451 626 Also shown are the results of calculations using U-233 ENDF/B-VI 9222 1451 627 evaluation and Axton standard values: 9222 1451 628 9222 1451 629 9222 1451 630 Quantity ENDF/B-VI Axton Present Eval 9222 1451 631 -------- --------- ----- ------------ 9222 1451 632 Fission 531.14 +/- 1.33 530.70 +/- 1.34 530.70 9222 1451 633 Capture 45.51 +/- 0.68 45.52 +/- 0.70 45.22 9222 1451 634 Scattering 12.13 +/- 0.66 12.19 +/- 0.67 12.18 9222 1451 635 Westcott ga 0.9996 +/- 0.0011 0.9995 +/- 0.0011 1.00325 9222 1451 636 Westcott gf 0.9955 +/- 0.0014 0.9955 +/- 0.0014 1.00045 9222 1451 637 K1 (barn) 742.60 +/- 2.40 742.25 +/- 0.0040 746.0 9222 1451 638 9222 1451 639 The following Table shows the average values of the fission 9222 1451 640 and capture cross sections of the present evaluation compared 9222 1451 641 to the previous ENDF-B6 evaluation in the energy range thermal 9222 1451 642 to 600 eV. 9222 1451 643 9222 1451 644 Energy Range Fission Capture 9222 1451 645 (eV) Present ENDF/B-VI.5 Present ENDF/B-VI.5 9222 1451 646 -------------- -------- ----------- ------ ----------- 9222 1451 647 0.001 -0.020 980.19 971.62 82.03 83.27 9222 1451 648 0.020 -0.050 462.03 460.02 39.84 40.21 9222 1451 649 0.050 -0.400 201.88 202.62 20.86 20.36 9222 1451 650 0.400 - 1.00 127.29 126.91 11.93 9.95 9222 1451 651 1.0 - 2.10 389.14 378.56 66.35 67.37 9222 1451 652 2.10 - 2.75 206.76 198.02 111.45 112.00 9222 1451 653 2.75 - 3.00 49.84 50.46 7.91 7.48 9222 1451 654 3.00 - 15.0 104.25 101.26 17.66 17.65 9222 1451 655 15.0 - 30.0 94.72 91.80 13.51 13.27 9222 1451 656 30.0 - 50.0 40.72 38.85 5.66 5.46 9222 1451 657 50.0 - 75.0 41.24 41.21 5.69 4.61 9222 1451 658 75.0 - 100 36.92 33.72 8.94 4.35 9222 1451 659 100 - 125 38.24 29.94 6.10 3.88 9222 1451 660 125 - 150 21.11 22.10 3.72 3.54 9222 1451 661 150 - 200 20.99 21.34 3.06 3.18 9222 1451 662 200 - 300 23.10 19.87 3.51 2.72 9222 1451 663 300 - 400 18.28 16.66 2.45 2.33 9222 1451 664 400 - 500 11.06 13.17 1.39 2.08 9222 1451 665 500 - 600 13.52 13.40 2.00 1.90 9222 1451 666 ----------------------------------------------------------------- 9222 1451 667 9222 1451 668 The fission and capture resonance integral calculated from 9222 1451 669 the present evaluation are 776.64 b and 139.66 b, respectively, 9222 1451 670 which compare to 760 +/ 17 b and 137 +/- 6 b reported by 9222 1451 671 Mughabghab.[MU85] 9222 1451 672 9222 1451 673 ----- REFERENCES (MF=2) ----- 9222 1451 674 9222 1451 675 GU98 K. H. Guber et al., Nuc. Sci. Eng. 135, 1(2000). 9222 1451 676 GU00 K. H. Guber et al., to be published in the Nuc. Sci. Eng. 9222 1451 677 KA85 K. Kanda et al, Measurement of Fast Neutron Induced Fission 9222 1451 678 Cross Sections of 232-Th, 233-U, and 234-U Relative to 9222 1451 679 235-U, Nuclear Data for Basic and Applied Science, Vol. 1, 9222 1451 680 Santa Fe, New Mexico (May 1985). 9222 1451 681 LA98 N. M. Lasrson, Updated User Guide for SAMMY: Multilevel R- 9222 1451 682 Matrix Fits to Neutron Data Using Bayes' Equations, 9222 1451 683 ORNL/TM-9179/R4 (December 1998). See also ORNL/TM-9170/R5. 9222 1451 684 LE01 L. C. Leal, H. Derrien, J. A. Harvey, K. H. Guber, N. M. 9222 1451 685 Larson and R. R. Spencer, R-Matrix Resonance Analysis and 9222 1451 686 Statistical Properties of the Resonance Parameters of U-233 9222 1451 687 in the Neutron Energy Range from Thermal to 600 eV, 9222 1451 688 ORNL/TM-2000/372, March 2001. 9222 1451 689 LE96 L. C. Leal and R. Q. Wright, Assessment of the Available 9222 1451 690 233-U Cross Section Evaluations in the Calculation of 9222 1451 691 Critical Benchmark Experiments, ORNL/TM-13313R (Sept 1996). 9222 1451 692 MU85 S. F. Mughabghab, Neutron Cross Sections, Vol. I. Part B 9222 1451 693 (1985). 9222 1451 694 9222 1451 695 9222 1451 696 ***************** Program LINEAR (VERSION 2007-1) ***************9222 1451 697 For All Data Greater than 1.0000E-10 barns in Absolute Value 9222 1451 698 Data Linearized to Within an Accuracy of .100000000 per-cent 9222 1451 699 ***************** Program RECENT (VERSION 2007-1) ***************9222 1451 700 for All Data Greater than 1.0000E-10 barns in Absolute Value 9222 1451 701 Data Linearized to within an Accuracy of .100000000 per-cent 9222 1451 702 1 451 838 19222 1451 703 1 452 11 19222 1451 704 1 455 8 19222 1451 705 1 456 9 19222 1451 706 1 458 5 19222 1451 707 2 151 983 19222 1451 708 3 1 28906 19222 1451 709 3 2 28908 19222 1451 710 3 4 35 19222 1451 711 3 16 13 19222 1451 712 3 17 8 19222 1451 713 3 18 28910 19222 1451 714 3 19 28905 19222 1451 715 3 20 22 19222 1451 716 3 21 14 19222 1451 717 3 37 4 19222 1451 718 3 38 7 19222 1451 719 3 51 35 19222 1451 720 3 52 34 19222 1451 721 3 53 32 19222 1451 722 3 54 32 19222 1451 723 3 55 31 19222 1451 724 3 56 30 19222 1451 725 3 57 30 19222 1451 726 3 58 29 19222 1451 727 3 59 29 19222 1451 728 3 60 29 19222 1451 729 3 61 28 19222 1451 730 3 62 28 19222 1451 731 3 63 28 19222 1451 732 3 64 27 19222 1451 733 3 65 27 19222 1451 734 3 66 26 19222 1451 735 3 67 26 19222 1451 736 3 68 26 19222 1451 737 3 69 25 19222 1451 738 3 70 25 19222 1451 739 3 71 25 19222 1451 740 3 72 24 19222 1451 741 3 73 24 19222 1451 742 3 74 23 19222 1451 743 3 75 23 19222 1451 744 3 76 23 19222 1451 745 3 77 22 19222 1451 746 3 78 22 19222 1451 747 3 79 22 19222 1451 748 3 80 21 19222 1451 749 3 91 33 19222 1451 750 3 102 28924 19222 1451 751 4 2 544 19222 1451 752 4 18 2 19222 1451 753 5 18 2579 19222 1451 754 5 455 589 09222 1451 755 6 16 2381 19222 1451 756 6 17 495 19222 1451 757 6 37 36 19222 1451 758 6 51 335 19222 1451 759 6 52 323 19222 1451 760 6 53 322 19222 1451 761 6 54 281 19222 1451 762 6 55 283 19222 1451 763 6 56 268 19222 1451 764 6 57 268 19222 1451 765 6 58 267 19222 1451 766 6 59 272 19222 1451 767 6 60 260 19222 1451 768 6 61 263 19222 1451 769 6 62 265 19222 1451 770 6 63 258 19222 1451 771 6 64 256 19222 1451 772 6 65 254 19222 1451 773 6 66 256 19222 1451 774 6 67 257 19222 1451 775 6 68 257 19222 1451 776 6 69 253 19222 1451 777 6 70 236 19222 1451 778 6 71 238 19222 1451 779 6 72 238 19222 1451 780 6 73 236 19222 1451 781 6 74 239 19222 1451 782 6 75 231 19222 1451 783 6 76 233 19222 1451 784 6 77 224 19222 1451 785 6 78 228 19222 1451 786 6 79 225 19222 1451 787 6 80 218 19222 1451 788 6 91 6188 19222 1451 789 6 102 10866 19222 1451 790 12 18 4 19222 1451 791 14 18 1 19222 1451 792 15 18 20 19222 1451 793 31 452 5 19222 1451 794 31 455 5 19222 1451 795 31 456 38 19222 1451 796 32 151 224438 19222 1451 797 33 1 124 19222 1451 798 33 2 124 19222 1451 799 33 4 15 19222 1451 800 33 16 16 19222 1451 801 33 17 7 19222 1451 802 33 18 2825 19222 1451 803 33 37 4 19222 1451 804 33 51 76 19222 1451 805 33 52 66 19222 1451 806 33 53 62 19222 1451 807 33 54 62 19222 1451 808 33 55 58 19222 1451 809 33 56 53 19222 1451 810 33 57 53 19222 1451 811 33 58 53 19222 1451 812 33 59 53 19222 1451 813 33 60 53 19222 1451 814 33 61 53 19222 1451 815 33 62 53 19222 1451 816 33 63 53 19222 1451 817 33 64 53 19222 1451 818 33 65 53 19222 1451 819 33 66 49 19222 1451 820 33 67 49 19222 1451 821 33 68 49 19222 1451 822 33 69 49 19222 1451 823 33 70 49 19222 1451 824 33 71 49 19222 1451 825 33 72 49 19222 1451 826 33 73 49 19222 1451 827 33 74 49 19222 1451 828 33 75 49 19222 1451 829 33 76 49 19222 1451 830 33 77 49 19222 1451 831 33 78 49 19222 1451 832 33 79 49 19222 1451 833 33 80 49 19222 1451 834 33 91 62 19222 1451 835 33 102 242 19222 1451 836 34 2 122 19222 1451 837 35 18 12841 19222 1451 838 9222 1 099999 9.223300+4 2.310380+2 0 2 0 09222 1452 1 0.000000+0 0.000000+0 0 0 1 229222 1452 2 22 2 0 0 0 09222 1452 3 1.000000-5 2.484500+0 2.530000-2 2.484500+0 1.000000+3 2.484590+09222 1452 4 1.000000+4 2.486054+0 5.000000+4 2.489207+0 1.000000+5 2.492975+09222 1452 5 2.000000+5 2.500623+0 5.000000+5 2.525116+0 1.000000+6 2.568572+09222 1452 6 1.500000+6 2.613273+0 2.000000+6 2.684047+0 3.000000+6 2.826178+09222 1452 7 3.900000+6 2.954593+0 4.000000+6 2.968713+0 5.000000+6 3.109881+09222 1452 8 6.400000+6 3.307676+0 6.500000+6 3.321934+0 7.000000+6 3.393171+09222 1452 9 1.000000+7 3.819855+0 1.200000+7 4.102344+0 1.400000+7 4.384133+09222 1452 10 2.000000+7 5.231600+0 9222 1452 11 9222 1 099999 9.223300+4 2.310380+2 0 2 0 09222 1455 1 0.000000+0 0.000000+0 0 0 6 09222 1455 2 1.290000-2 3.470000-2 1.193000-1 2.862000-1 7.877000-1 2.441700+09222 1455 3 0.000000+0 0.000000+0 0 0 1 99222 1455 4 9 2 0 0 0 09222 1455 5 1.000000-5 6.700000-3 2.530000-2 6.700000-3 1.000000+3 6.700000-39222 1455 6 1.000000+4 7.350000-3 3.900000+6 8.050000-3 6.400000+6 4.800000-39222 1455 7 1.200000+7 4.800000-3 1.400000+7 4.100000-3 2.000000+7 4.100000-39222 1455 8 9222 1 099999 9.223300+4 2.310380+2 0 2 0 09222 1456 1 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31.1018288 5.162577+19222 3 1 1899 31.1108175 5.191632+1 31.1198063 5.233834+1 31.1243007 5.259691+19222 3 1 1900 31.1287950 5.288623+1 31.1332894 5.320555+1 31.1377838 5.355410+19222 3 1 1901 31.1422781 5.393106+1 31.1467725 5.433558+1 31.1512669 5.476677+19222 3 1 1902 31.1557613 5.522369+1 31.1602556 5.570531+1 31.1647500 5.621062+19222 3 1 1903 31.1692444 5.673849+1 31.1737388 5.728774+1 31.1782331 5.785712+19222 3 1 1904 31.1827275 5.844535+1 31.1872219 5.905105+1 31.1917163 5.967277+19222 3 1 1905 31.1962106 6.030900+1 31.2007050 6.095821+1 31.2051994 6.161875+19222 3 1 1906 31.2096938 6.228895+1 31.2141881 6.296706+1 31.2186825 6.365133+19222 3 1 1907 31.2231769 6.433993+1 31.2276713 6.503102+1 31.2321656 6.572273+19222 3 1 1908 31.2326151 6.579187+1 31.2330645 6.586099+1 31.2335139 6.593009+19222 3 1 1909 31.2339634 6.599918+1 31.2344128 6.606824+1 31.2348623 6.613729+19222 3 1 1910 31.2353117 6.620631+1 31.2357611 6.627530+1 31.2362106 6.634427+19222 3 1 1911 31.2366600 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18 1917 31.2771094 5.507213+1 31.2816037 5.565185+1 31.2860981 5.621275+19222 3 18 1918 31.2905925 5.675371+1 31.2950869 5.727370+1 31.2995812 5.777182+19222 3 18 1919 31.3040756 5.824731+1 31.3085700 5.869948+1 31.3130644 5.912780+19222 3 18 1920 31.3175587 5.953184+1 31.3220531 5.991130+1 31.3265475 6.026600+19222 3 18 1921 31.3310419 6.059587+1 31.3355362 6.090095+1 31.3400306 6.118139+19222 3 18 1922 31.3445250 6.143743+1 31.3490194 6.166942+1 31.3535137 6.187778+19222 3 18 1923 31.3625025 6.222575+1 31.3714912 6.248624+1 31.3804800 6.266508+19222 3 18 1924 31.3894687 6.276877+1 31.3917159 6.278377+1 31.3984575 6.280431+19222 3 18 1925 31.4074462 6.277893+1 31.4164350 6.269994+1 31.4254237 6.257459+19222 3 18 1926 31.4344125 6.240993+1 31.4434012 6.221272+1 31.4523900 6.198936+19222 3 18 1927 31.4613787 6.174586+1 31.4838506 6.108449+1 31.5063224 6.040608+19222 3 18 1928 31.5287943 5.976992+1 31.5512662 5.922188+1 31.5737381 5.879747+19222 3 18 1929 31.5849740 5.864065+1 31.5877830 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18 1942 31.9718648 1.156481+2 31.9778776 1.188910+2 31.9838905 1.222610+29222 3 18 1943 31.9899033 1.257511+2 31.9947136 1.286231+2 31.9995238 1.315584+29222 3 18 1944 32.0043341 1.345485+2 32.0091444 1.375821+2 32.0139546 1.406459+29222 3 18 1945 32.0187649 1.437242+2 32.0235752 1.467983+2 32.0283854 1.498465+29222 3 18 1946 32.0331957 1.528446+2 32.0380060 1.557651+2 32.0428162 1.585776+29222 3 18 1947 32.0476265 1.612493+2 32.0500317 1.625215+2 32.0524368 1.637452+29222 3 18 1948 32.0548419 1.649157+2 32.0572471 1.660285+2 32.0596522 1.670786+29222 3 18 1949 32.0620573 1.680616+2 32.0644625 1.689727+2 32.0668676 1.698072+29222 3 18 1950 32.0692727 1.705607+2 32.0716779 1.712289+2 32.0740830 1.718076+29222 3 18 1951 32.0764881 1.722929+2 32.0788933 1.726811+2 32.0812984 1.729689+29222 3 18 1952 32.0837035 1.731533+2 32.0861087 1.732317+2 32.0885138 1.732018+29222 3 18 1953 32.0909189 1.730620+2 32.0933241 1.728108+2 32.0957292 1.724477+29222 3 18 1954 32.0981343 1.719722+2 32.1005395 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18 1967 32.1486421 1.405142+2 32.1510473 1.383731+2 32.1534524 1.362145+29222 3 18 1968 32.1558575 1.340431+2 32.1582627 1.318637+2 32.1606678 1.296808+29222 3 18 1969 32.1630729 1.274988+2 32.1654781 1.253215+2 32.1678832 1.231529+29222 3 18 1970 32.1702884 1.209964+2 32.1726935 1.188554+2 32.1775038 1.146312+29222 3 18 1971 32.1823140 1.105014+2 32.1871243 1.064829+2 32.1919346 1.025892+29222 3 18 1972 32.1967448 9.883054+1 32.2015551 9.521401+1 32.2063654 9.174438+19222 3 18 1973 32.2111756 8.842419+1 32.2159859 8.525391+1 32.2207962 8.223269+19222 3 18 1974 32.2256064 7.935842+1 32.2304167 7.662780+1 32.2364296 7.341055+19222 3 18 1975 32.2424424 7.040278+1 32.2484552 6.759455+1 32.2544680 6.497546+19222 3 18 1976 32.2604809 6.253484+1 32.2664937 6.026214+1 32.2725066 5.814683+19222 3 18 1977 32.2785194 5.617887+1 32.2845323 5.434844+1 32.2905451 5.264634+19222 3 18 1978 32.2965579 5.106378+1 32.3025707 4.959249+1 32.3085836 4.822471+19222 3 18 1979 32.3145964 4.695326+1 32.3222506 4.546346+1 32.3284836 4.434864+19222 3 18 1980 32.3347165 4.331527+1 32.3471824 4.146992+1 32.3569752 4.020545+19222 3 18 1981 32.3667679 3.908483+1 32.3765607 3.809285+1 32.3863534 3.721618+19222 3 18 1982 32.3961462 3.644314+1 32.4059390 3.576347+1 32.4157318 3.516820+19222 3 18 1983 32.4255245 3.464946+1 32.4353173 3.420033+1 32.4451100 3.381475+19222 3 18 1984 32.4549028 3.348739+1 32.4646955 3.321357+1 32.4744883 3.298919+19222 3 18 1985 32.4842810 3.281064+1 32.4940738 3.267475+1 32.5038665 3.257875+19222 3 18 1986 32.5234521 3.249699+1 32.5430376 3.254931+1 32.5528304 3.262183+19222 3 18 1987 32.5626231 3.272355+1 32.5822086 3.301053+1 32.6017942 3.340350+19222 3 18 1988 32.6213797 3.389756+1 32.6370481 3.436322+1 32.6527165 3.489009+19222 3 18 1989 32.6683849 3.547722+1 32.6840533 3.612389+1 32.6997217 3.682952+19222 3 18 1990 32.7153901 3.759352+1 32.7310585 3.841523+1 32.7467270 3.929381+19222 3 18 1991 32.7623954 4.022809+1 32.7780638 4.121651+1 32.7937322 4.225700+19222 3 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