JENDL-4.0 Am243 pointwise at 0K 0 0 9.524300+4 2.409730+2 2 1 6 19549 1451 1 0.000000+0 1.000000+0 0 0 0 69549 1451 2 1.000000+0 2.000000+7 0 0 10 49549 1451 3 0.000000+0 0.000000+0 1 0 437 769549 1451 4 95-Am-243 JAEA+ EVAL-JAN10 O.Iwamoto,T.Nakagawa,T.Ohsawa,+ 9549 1451 5 DIST-MAY10 20100318 9549 1451 6 ----JENDL-4.0 MATERIAL 9549 9549 1451 7 -----INCIDENT NEUTRON DATA 9549 1451 8 ------ENDF-6 FORMAT 9549 1451 9 9549 1451 10 History 9549 1451 11 07-05 Theoretical calculation was made with CCONE code. 9549 1451 12 07-08 Theoretical calculation was made with CCONE code. 9549 1451 13 08-03 Interpolation of (5,18) was changed. 9549 1451 14 Data were compiled as JENDL/AC-2008/1/ 9549 1451 15 09-03 (1,452) and (1,455) were revised. 9549 1451 16 09-08 (MF1,MT458) was evaluated. 9549 1451 17 09-10 Fission cross section was revised. 9549 1451 18 10-01 Data of prompt gamma rays due to fission were given. 9549 1451 19 10-03 Covariance data were given. 9549 1451 20 9549 1451 21 9549 1451 22 MF= 1 9549 1451 23 MT=452 Total neutron per fission 9549 1451 24 Sum of MT=455 and 456. 9549 1451 25 9549 1451 26 MT=455 Delayed neutrons 9549 1451 27 Determined from nu-d of the following three nuclides and 9549 1451 28 partial fission cross sections calculated with CCONE code/2/. 9549 1451 29 9549 1451 30 Am-244 = 0.0085 Saleh et al./3/, Charlton et al./4/ 9549 1451 31 Am-243 = 0.006659 *1) 9549 1451 32 Am-242 = 0.0049 Saleh et al./3/ 9549 1451 33 *1) an average of systematics by Tuttle/5/, 9549 1451 34 Benedetti et al./6/ and Waldo et al./7/ 9549 1451 35 9549 1451 36 Decay constants were taken from Saleh et al. and Brady and 9549 1451 37 England. 9549 1451 38 9549 1451 39 MT=456 Prompt neutrons per fission 9549 1451 40 The data measured by Khokhlov et al./8/ and Drapchinsky et 9549 1451 41 al./9/ were fitted by a linear function/10/. 9549 1451 42 9549 1451 43 MT=458 Components of energy release due to fission 9549 1451 44 Total energy and prompt energy were calculated from mass 9549 1451 45 balance using JENDL-4 fission yields data and mass excess 9549 1451 46 evaluation. Mass excess values were from Audi's 2009 9549 1451 47 evaluation/11/. Delayed energy values were calculated from 9549 1451 48 the energy release for infinite irradiation using JENDL FP 9549 1451 49 Decay Data File 2000 and JENDL-4 yields data. For delayed 9549 1451 50 neutron energy, as the JENDL FP Decay Data File 2000/12/ does 9549 1451 51 not include average neutron energy values, the average values 9549 1451 52 were calculated using the formula shown in the report by 9549 1451 53 T.R. England/13/. The fractions of prompt energy were 9549 1451 54 calculated using the fractions of Sher's evaluation/14/ when 9549 1451 55 they were provided. When the fractions were not given by Sher,9549 1451 56 averaged fractions were used. 9549 1451 57 9549 1451 58 9549 1451 59 MF= 2 Resonance parameters 9549 1451 60 MT=151 9549 1451 61 Resolved resonance parameters (below 250eV) 9549 1451 62 JENDL-3.3 parameters of resonances below 1.744 eV were 9549 1451 63 modified: 9549 1451 64 to reproduce an effective capture cross section measured 9549 1451 65 by Ohta et al./15/, 9549 1451 66 to delete background cross sections of fission given in 9549 1451 67 JENDL-3.3. 9549 1451 68 9549 1451 69 Unresolved resonance parameters (250eV - 40keV) 9549 1451 70 Parameters were determined with ASREP code/16/ so as to 9549 1451 71 reproduce the cross sections in the energy range from 250 eV 9549 1451 72 to 40 keV. They are used only for self-shielding calculations.9549 1451 73 9549 1451 74 9549 1451 75 Thermal cross sections and resonance integrals (at 300K) 9549 1451 76 ------------------------------------------------------- 9549 1451 77 0.0253 eV reson. integ.(*) 9549 1451 78 (barns) (barns) 9549 1451 79 ------------------------------------------------------- 9549 1451 80 total 85.831 9549 1451 81 elastic 6.490 9549 1451 82 fission 0.0816 6.31 9549 1451 83 capture 79.259 2040 9549 1451 84 ------------------------------------------------------- 9549 1451 85 (*) In the energy range from 0.5 eV to 10 MeV. 9549 1451 86 9549 1451 87 9549 1451 88 MF= 3 Neutron cross sections 9549 1451 89 Cross sections above the resolved resonance region except for 9549 1451 90 the elastic scattering (MT=2) and fission cross sections (MT=18,9549 1451 91 19, 20, 21, 38) were calculated with CCONE code/2/. 9549 1451 92 9549 1451 93 MT= 1 Total cross section 9549 1451 94 The cross section was calculated with CC OMP of Soukhovitskii 9549 1451 95 et al./17/ The OMP was adjusted to the Am-241(n,tot) cross 9549 1451 96 section/18/. 9549 1451 97 9549 1451 98 MT= 2 Elastic scattering cross section 9549 1451 99 Calculated as total - non-elastic scattering cross sections. 9549 1451 100 9549 1451 101 MT=18 Fission cross section (Above 250eV) 9549 1451 102 The following experimental data were analyzed with the GMA 9549 1451 103 code /19/: 9549 1451 104 Wisshak+/20/, Fomushkin+/21/, Fursov+/22/, Kanda+/23/, 9549 1451 105 Knitter+/24/, Golovnya+/25/, Kobayashi+/26/, Laptev+/27/, 9549 1451 106 Aiche+/28/, Baba+/29/ 9549 1451 107 9549 1451 108 MT=19, 20, 21, 38 Multi-chance fission cross sections 9549 1451 109 Calculated with CCONE code, and renormalized to the total 9549 1451 110 fission cross section (MT=18). 9549 1451 111 9549 1451 112 MT=102 Capture cross section 9549 1451 113 The experimental data of Weston and Todd/30/ and Wisshak and 9549 1451 114 Kaeppeler/31/ were used to determine the parameters in the 9549 1451 115 CCONE calculation. 9549 1451 116 9549 1451 117 9549 1451 118 MF= 4 Angular distributions of secondary neutrons 9549 1451 119 MT=2 Elastic scattering 9549 1451 120 Calculated with CCONE code. 9549 1451 121 9549 1451 122 MT=18 Fission 9549 1451 123 Isotropic distributions in the laboratory system were assumed.9549 1451 124 9549 1451 125 9549 1451 126 MF= 5 Energy distributions of secondary neutrons 9549 1451 127 MT=18 Prompt neutrons 9549 1451 128 Below 6 MeV, calculated by Ohsawa/32/ with modified 9549 1451 129 Madland-Nix formula considering multi-mode fission processes 9549 1451 130 (standard-1, standard-2, superlong). 9549 1451 131 Above 7 MeV, calculated with CCONE code/2/. 9549 1451 132 9549 1451 133 MT=455 Delayed neutrons 9549 1451 134 Taken from Brady and England /33/. Normalized yields of 9549 1451 135 6 groups are those measured by Saleh et al./3/ 9549 1451 136 9549 1451 137 MF= 6 Energy-angle distributions 9549 1451 138 Calculated with CCONE code. 9549 1451 139 Distributions from fission (MT=18) are not included. 9549 1451 140 9549 1451 141 9549 1451 142 MF=12 Photon production multiplicities 9549 1451 143 MT=18 Fission 9549 1451 144 Calculated from the total energy released by the prompt 9549 1451 145 gamma-rays due to fission given in MF=1/MT=458 and the 9549 1451 146 average energy of gamma-rays. 9549 1451 147 9549 1451 148 9549 1451 149 MF=14 Photon angular distributions 9549 1451 150 MT=18 Fission 9549 1451 151 Isotoropic distributions were assumed. 9549 1451 152 9549 1451 153 9549 1451 154 MF=15 Continuous photon energy spectra 9549 1451 155 MT=18 Fission 9549 1451 156 Experimental data measured by Verbinski et al./34/ for 9549 1451 157 Pu-239 thermal fission were adopted. 9549 1451 158 9549 1451 159 9549 1451 160 MF=31 Covariances of average number of neutrons per fission 9549 1451 161 MT=452 Number of neutrons per fission 9549 1451 162 Combination of covariances for MT=455 and MT=456. 9549 1451 163 9549 1451 164 MT=455 9549 1451 165 Error was assumed as follows: 9549 1451 166 E < 5 MeV 5 % /3/ 9549 1451 167 above 15 MeV 15 % 9549 1451 168 9549 1451 169 MT=456 9549 1451 170 Covariances were obtained by fitting a linear function to the 9549 1451 171 experimental data of Khokhlov et al./8/ and Drapchinsky et 9549 1451 172 al./9/ Obtained standard deviation was multiplied by a 9549 1451 173 factor of 3 so that the minimum error was about 1%. 9549 1451 174 9549 1451 175 9549 1451 176 MF=32 Covariances of resonance parameters 9549 1451 177 Format of LCOMP=0 was adopted. 9549 1451 178 9549 1451 179 Standard deviations of resonance parameters were taken from 9549 1451 180 Mughabghab /35/ If no uncertainties were given by 9549 1451 181 Mughabghab, 0.1% and 10% were assumed for resonance energies 9549 1451 182 and other parameters, respectively. 9549 1451 183 9549 1451 184 Additional errors of 5 % were given to the fission cross 9549 1451 185 section, and the following values for the capture cross 9549 1451 186 section: 9549 1451 187 energy range additional errors 9549 1451 188 1.0e-5 - 13 eV 5% 9549 1451 189 13 - 50 eV 10% 9549 1451 190 50 - 250 eV 15% 9549 1451 191 9549 1451 192 9549 1451 193 MF=33 Covariances of neutron cross sections 9549 1451 194 Covariances were given to all the cross sections by using 9549 1451 195 KALMAN code/36/ and the covariances of model parameters 9549 1451 196 used in the theoretical calculations. 9549 1451 197 9549 1451 198 For the following cross sections, covariances were determined 9549 1451 199 by different methods. 9549 1451 200 9549 1451 201 MT=1, 2 Total and elastic scattering cross sections 9549 1451 202 In the resolved resonance region, uncertainty of 10% was 9549 1451 203 added to the contributions from resonance parameter 9549 1451 204 uncertainties. 9549 1451 205 9549 1451 206 Above 250 eV, estimated with CCONE and KALMAN codes. 9549 1451 207 9549 1451 208 MT=18 Fission cross section 9549 1451 209 Above 250 eV, evaluated with GMA code/19/. 9549 1451 210 Standard deviations were multiplied by a factor of 2.0. 9549 1451 211 9549 1451 212 MT=102 Capture cross section 9549 1451 213 Above 250 eV, covariance matrix was obtained with CCONE and 9549 1451 214 KALMAN codes/36/. 9549 1451 215 9549 1451 216 9549 1451 217 MF=34 Covariances for Angular Distributions 9549 1451 218 MT=2 Elastic scattering 9549 1451 219 Covariances were given only to P1 components. 9549 1451 220 9549 1451 221 9549 1451 222 MF=35 Covariances for Energy Distributions 9549 1451 223 MT=18 Fission spectra 9549 1451 224 Below 6 MeV, covarinaces of Pu239 fission spectra given in 9549 1451 225 JENDL-3.3 were adopted after multiplying a factor of 9. 9549 1451 226 Above 6 MeV, estimated with CCONE and KALMAN codes. 9549 1451 227 9549 1451 228 9549 1451 229 ***************************************************************** 9549 1451 230 Calculation with CCONE code 9549 1451 231 ***************************************************************** 9549 1451 232 9549 1451 233 Models and parameters used in the CCONE/2/ calculation 9549 1451 234 1) Coupled channel optical model 9549 1451 235 Levels in the rotational band were included. Optical model 9549 1451 236 potential and coupled levels are shown in Table 1. 9549 1451 237 9549 1451 238 2) Two-component exciton model/37/ 9549 1451 239 * Global parametrization of Koning-Duijvestijn/38/ 9549 1451 240 was used. 9549 1451 241 * Gamma emission channel/39/ was added to simulate direct 9549 1451 242 and semi-direct capture reaction. 9549 1451 243 9549 1451 244 3) Hauser-Feshbach statistical model 9549 1451 245 * Moldauer width fluctuation correction/40/ was included. 9549 1451 246 * Neutron, gamma and fission decay channel were included. 9549 1451 247 * Transmission coefficients of neutrons were taken from 9549 1451 248 coupled channel calculation in Table 1. 9549 1451 249 * The level scheme of the target is shown in Table 2. 9549 1451 250 * Level density formula of constant temperature and Fermi-gas 9549 1451 251 model were used with shell energy correction and collective 9549 1451 252 enhancement factor. Parameters are shown in Table 3. 9549 1451 253 * Fission channel: 9549 1451 254 Double humped fission barriers were assumed. 9549 1451 255 Fission barrier penetrabilities were calculated with 9549 1451 256 Hill-Wheler formula/41/. Fission barrier parameters were 9549 1451 257 shown in Table 4. Transition state model was used and 9549 1451 258 continuum levels are assumed above the saddles. The level 9549 1451 259 density parameters for inner and outer saddles are shown in 9549 1451 260 Tables 5 and 6, respectively. 9549 1451 261 * Gamma-ray strength function of Kopecky et al/42/,/43/ 9549 1451 262 was used. The prameters are shown in Table 7. 9549 1451 263 9549 1451 264 9549 1451 265 ------------------------------------------------------------------9549 1451 266 Tables 9549 1451 267 ------------------------------------------------------------------9549 1451 268 9549 1451 269 Table 1. Coupled channel calculation 9549 1451 270 -------------------------------------------------- 9549 1451 271 * rigid rotor model was applied 9549 1451 272 * coupled levels = 0,1,3,6,8 (see Table 2) 9549 1451 273 * optical potential parameters /17/ 9549 1451 274 Volume: 9549 1451 275 V_0 = 48 MeV 9549 1451 276 lambda_HF = 0.004 1/MeV 9549 1451 277 C_viso = 15.9 MeV 9549 1451 278 A_v = 12.04 MeV 9549 1451 279 B_v = 81.36 MeV 9549 1451 280 E_a = 385 MeV 9549 1451 281 r_v = 1.255 fm 9549 1451 282 a_v = 0.58 fm 9549 1451 283 Surface: 9549 1451 284 W_0 = 17.2 MeV 9549 1451 285 B_s = 11.19 MeV 9549 1451 286 C_s = 0.01361 1/MeV 9549 1451 287 C_wiso = 23.5 MeV 9549 1451 288 r_s = 1.15 fm 9549 1451 289 a_s = 0.601 fm 9549 1451 290 Spin-orbit: 9549 1451 291 V_so = 5.75 MeV 9549 1451 292 lambda_so = 0.005 1/MeV 9549 1451 293 W_so = -3.1 MeV 9549 1451 294 B_so = 160 MeV 9549 1451 295 r_so = 1.1214 fm 9549 1451 296 a_so = 0.59 fm 9549 1451 297 Coulomb: 9549 1451 298 C_coul = 1.3 9549 1451 299 r_c = 1.2452 fm 9549 1451 300 a_c = 0.545 fm 9549 1451 301 Deformation: 9549 1451 302 beta_2 = 0.213 9549 1451 303 beta_4 = 0.08 9549 1451 304 beta_6 = 0.0015 9549 1451 305 9549 1451 306 * Calculated strength function 9549 1451 307 S0= 0.91e-4 S1= 2.65e-4 R'= 9.45 fm (En=1 keV) 9549 1451 308 -------------------------------------------------- 9549 1451 309 9549 1451 310 Table 2. Level Scheme of Am-243 9549 1451 311 ------------------- 9549 1451 312 No. Ex(MeV) J PI 9549 1451 313 ------------------- 9549 1451 314 0 0.00000 5/2 - * 9549 1451 315 1 0.04220 7/2 - * 9549 1451 316 2 0.08400 5/2 + 9549 1451 317 3 0.09640 9/2 - * 9549 1451 318 4 0.10920 7/2 + 9549 1451 319 5 0.14350 9/2 + 9549 1451 320 6 0.16230 11/2 - * 9549 1451 321 7 0.18930 11/2 + 9549 1451 322 8 0.23800 13/2 - * 9549 1451 323 9 0.24400 13/2 + 9549 1451 324 10 0.26600 3/2 - 9549 1451 325 ------------------- 9549 1451 326 *) Coupled levels in CC calculation 9549 1451 327 9549 1451 328 Table 3. Level density parameters 9549 1451 329 -------------------------------------------------------- 9549 1451 330 Nuclide a* Pair Eshell T E0 Ematch 9549 1451 331 1/MeV MeV MeV MeV MeV MeV 9549 1451 332 -------------------------------------------------------- 9549 1451 333 Am-244 18.7661 0.0000 1.9765 0.2797 -0.6834 1.0000 9549 1451 334 Am-243 18.6999 0.7698 2.0985 0.3873 -0.8965 3.0385 9549 1451 335 Am-242 18.6337 0.0000 1.6845 0.2795 -0.6541 0.9592 9549 1451 336 Am-241 18.1961 0.7730 1.7328 0.3819 -0.7226 2.8365 9549 1451 337 Am-240 18.5012 0.0000 1.3474 0.2883 -0.6831 1.0000 9549 1451 338 -------------------------------------------------------- 9549 1451 339 9549 1451 340 Table 4. Fission barrier parameters 9549 1451 341 ---------------------------------------- 9549 1451 342 Nuclide V_A hw_A V_B hw_B 9549 1451 343 MeV MeV MeV MeV 9549 1451 344 ---------------------------------------- 9549 1451 345 Am-244 6.450 0.650 6.000 0.530 9549 1451 346 Am-243 6.200 0.800 5.400 0.520 9549 1451 347 Am-242 6.510 0.600 6.050 0.550 9549 1451 348 Am-241 6.100 0.800 5.500 0.520 9549 1451 349 Am-240 6.100 0.650 6.000 0.450 9549 1451 350 ---------------------------------------- 9549 1451 351 9549 1451 352 Table 5. Level density above inner saddle 9549 1451 353 -------------------------------------------------------- 9549 1451 354 Nuclide a* Pair Eshell T E0 Ematch 9549 1451 355 1/MeV MeV MeV MeV MeV MeV 9549 1451 356 -------------------------------------------------------- 9549 1451 357 Am-244 21.5810 0.0000 2.6000 0.3194 -2.3947 2.0000 9549 1451 358 Am-243 21.5049 0.8981 2.6000 0.3201 -1.4966 2.8981 9549 1451 359 Am-242 20.8697 0.0000 2.6000 0.3254 -2.4113 2.0000 9549 1451 360 Am-241 21.3526 0.9018 2.6000 0.3213 -1.4929 2.9018 9549 1451 361 Am-240 21.2764 0.0000 2.6000 0.3219 -2.3947 2.0000 9549 1451 362 -------------------------------------------------------- 9549 1451 363 9549 1451 364 Table 6. Level density above outer saddle 9549 1451 365 -------------------------------------------------------- 9549 1451 366 Nuclide a* Pair Eshell T E0 Ematch 9549 1451 367 1/MeV MeV MeV MeV MeV MeV 9549 1451 368 -------------------------------------------------------- 9549 1451 369 Am-244 21.5810 0.0000 0.6400 0.3664 -1.8698 2.2000 9549 1451 370 Am-243 21.5049 0.8981 0.6000 0.3532 -0.8019 2.8981 9549 1451 371 Am-242 21.4288 0.0000 0.5600 0.3688 -1.8681 2.2000 9549 1451 372 Am-241 21.3526 0.9018 0.5200 0.3556 -0.7969 2.9018 9549 1451 373 Am-240 21.2764 0.0000 0.4800 0.3567 -1.6981 2.0000 9549 1451 374 -------------------------------------------------------- 9549 1451 375 9549 1451 376 Table 7. Gamma-ray strength function for Am-244 9549 1451 377 -------------------------------------------------------- 9549 1451 378 * E1: ER = 11.51 (MeV) EG = 2.76 (MeV) SIG = 245.81 (mb) 9549 1451 379 ER = 14.29 (MeV) EG = 4.18 (MeV) SIG = 491.62 (mb) 9549 1451 380 * M1: ER = 6.56 (MeV) EG = 4.00 (MeV) SIG = 1.29 (mb) 9549 1451 381 * E2: ER = 10.08 (MeV) EG = 3.18 (MeV) SIG = 6.92 (mb) 9549 1451 382 -------------------------------------------------------- 9549 1451 383 9549 1451 384 9549 1451 385 References 9549 1451 386 1) O.Iwamoto et al.: J. Nucl. Sci. Technol., 46, 510 (2009). 9549 1451 387 2) O.Iwamoto: J. Nucl. Sci. Technol., 44, 687 (2007). 9549 1451 388 3) H.H.Saleh et al.: Nucl. Sci. Eng., 125, 51 (1997). 9549 1451 389 4) W,Charlton et al.; 1997 Trieste, Part I, p.491 (1997). 9549 1451 390 5) R.J.Tuttle: INDC(NDS)-107/G+Special, p.29 (1979). 9549 1451 391 6) G.Benedetti et al.: Nucl. Sci. Eng., 80, 379 (1982). 9549 1451 392 7) R.Waldo et al.: Phys. 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Eng.,85, 251 (1983). 9549 1451 407 21) Eh.Fomushkin, et al.: Yadernye Konstanty, 3/57, 17 (1984) 9549 1451 408 = INDC(CCP)-281/L, p.23 (1989). 9549 1451 409 22) B.I.Fursov, et al.: Sov. At. Enery, 58, 899 (1986). 9549 1451 410 23) K.Kanda, et al.: J. Nucl. Sci. Technol., 24, 423 (1987). 9549 1451 411 24) H.-H.Knitter, C,Budtz-Jorgensen: Nucl. Sci. Eng., 99, 1 9549 1451 412 (1988). 9549 1451 413 25) V.Ya.Golovnya et al.: JINR-E3-419, p.293 (1999). 9549 1451 414 26) K.Kobayashi, et al.: J. Nucl. Sci. Technol., 36, 20 (1999). 9549 1451 415 27) A.B.Laptev et al.: 2007Sanibal Island, p.462 (2007). 9549 1451 416 28) M.Aiche et al.: 2007 Nice (ND2007), p.483 (2007). 9549 1451 417 29) M.Baba et al.: Private communication (2007). 9549 1451 418 30) L.W.Weston, J.H.Todd: Nucl. Sci. Eng., 91, 444 (1985). 9549 1451 419 31) K.Wisshak, F.Kaeppeler: Nucl. Sci. Eng., 85, 251 (1983). 9549 1451 420 32) T.Ohsawa: Private communication (2007). 9549 1451 421 33) M.C.Brady, T.R.England: Nucl. Sci. Eng., 103, 129 (1989). 9549 1451 422 34) V.V.Verbinski et al.: Phys. Rev., C7, 1173 (1973). 9549 1451 423 35) S.F.Mughabghab: "Atlas of Neutron Resonances," Elsevier 9549 1451 424 (2006). 9549 1451 425 36) T.Kawano, K.Shibata, JAERI-Data/Code 97-037 (1997) in 9549 1451 426 Japanese. 9549 1451 427 37) C.Kalbach: Phys. Rev. C33, 818 (1986). 9549 1451 428 38) A.J.Koning, M.C.Duijvestijn: Nucl. Phys. A744, 15 (2004). 9549 1451 429 39) J.M.Akkermans, H.Gruppelaar: Phys. Lett. 157B, 95 (1985). 9549 1451 430 40) P.A.Moldauer: Nucl. Phys. A344, 185 (1980). 9549 1451 431 41) D.L.Hill, J.A.Wheeler: Phys. Rev. 89, 1102 (1953). 9549 1451 432 42) J.Kopecky, M.Uhl: Phys. Rev. C41, 1941 (1990). 9549 1451 433 43) J.Kopecky, M.Uhl, R.E.Chrien: Phys. Rev. C47, 312 (1990). 9549 1451 434 9549 1451 435 ***************** Program LINEAR (VERSION 2007-1) ***************9549 1451 436 For All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 437 Data Linearized to Within an Accuracy of .100000000 per-cent 9549 1451 438 ***************** Program RECENT (VERSION 2007-1) ***************9549 1451 439 for All Data Greater than 1.0000E-10 barns in Absolute Value 9549 1451 440 Data Linearized to within an Accuracy of .100000000 per-cent 9549 1451 441 1 451 517 19549 1451 442 1 452 9 19549 1451 443 1 455 11 09549 1451 444 1 456 4 19549 1451 445 1 458 5 19549 1451 446 2 151 393 19549 1451 447 3 1 23224 19549 1451 448 3 2 23220 19549 1451 449 3 4 25 19549 1451 450 3 16 12 19549 1451 451 3 17 9 19549 1451 452 3 18 23249 19549 1451 453 3 19 23249 19549 1451 454 3 20 20 19549 1451 455 3 21 12 19549 1451 456 3 37 4 19549 1451 457 3 38 8 19549 1451 458 3 51 25 19549 1451 459 3 52 24 19549 1451 460 3 53 24 19549 1451 461 3 54 23 19549 1451 462 3 55 22 19549 1451 463 3 56 22 19549 1451 464 3 57 21 19549 1451 465 3 58 21 19549 1451 466 3 59 20 19549 1451 467 3 60 20 19549 1451 468 3 91 23 19549 1451 469 3 102 23263 19549 1451 470 4 2 366 19549 1451 471 4 18 2 19549 1451 472 5 18 2150 19549 1451 473 5 455 579 19549 1451 474 6 16 1475 19549 1451 475 6 17 470 19549 1451 476 6 37 35 19549 1451 477 6 51 248 19549 1451 478 6 52 151 19549 1451 479 6 53 241 19549 1451 480 6 54 144 19549 1451 481 6 55 143 19549 1451 482 6 56 229 19549 1451 483 6 57 138 19549 1451 484 6 58 221 19549 1451 485 6 59 132 19549 1451 486 6 60 128 19549 1451 487 6 91 2880 19549 1451 488 6 102 6464 19549 1451 489 12 18 4 19549 1451 490 14 18 1 19549 1451 491 15 18 20 19549 1451 492 31 452 5 19549 1451 493 31 455 4 19549 1451 494 31 456 32 19549 1451 495 32 151 725 19549 1451 496 33 1 123 19549 1451 497 33 2 123 19549 1451 498 33 4 8 19549 1451 499 33 16 14 19549 1451 500 33 17 7 19549 1451 501 33 18 253 19549 1451 502 33 37 4 19549 1451 503 33 51 76 19549 1451 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1883 13.1753171 2.020316+3 13.1763770 1.944045+3 13.1774368 1.870447+39549 3 1 1884 13.1784967 1.799560+3 13.1798216 1.714798+3 13.1811464 1.634295+39549 3 1 1885 13.1824712 1.557974+3 13.1837960 1.485723+3 13.1851209 1.417399+39549 3 1 1886 13.1864457 1.352855+3 13.1877706 1.291913+3 13.1890954 1.234404+39549 3 1 1887 13.1904203 1.180142+3 13.1917451 1.128956+3 13.1930699 1.080667+39549 3 1 1888 13.1943947 1.035107+3 13.1957196 9.921077+2 13.1970444 9.515205+29549 3 1 1889 13.1983693 9.131903+2 13.1996941 8.769821+2 13.2010189 8.427600+29549 3 1 1890 13.2023437 8.103991+2 13.2036686 7.797797+2 13.2049934 7.507965+29549 3 1 1891 13.2063183 7.233423+2 13.2076431 6.973249+2 13.2102927 6.492413+29549 3 1 1892 13.2129424 6.058937+2 13.2155921 5.667207+2 13.2182418 5.312325+29549 3 1 1893 13.2208914 4.990051+2 13.2235411 4.696662+2 13.2261908 4.428952+29549 3 1 1894 13.2288404 4.184122+2 13.2314901 3.959701+2 13.2341398 3.753552+29549 3 1 1895 13.2367894 3.563798+2 13.2394391 3.388771+2 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14.8413175 1.690190+1 14.8499370 1.705161+19549 3 1 1934 14.8628663 1.729647+1 14.8671760 1.738396+1 14.8757955 1.756851+19549 3 1 1935 14.8844150 1.776679+1 14.8930345 1.798009+1 14.9016540 1.820991+19549 3 1 1936 14.9102735 1.845794+1 14.9188930 1.872612+1 14.9275125 1.901673+19549 3 1 1937 14.9361320 1.933241+1 14.9447515 1.967630+1 14.9533710 2.005211+19549 3 1 1938 14.9619905 2.046427+1 14.9706100 2.091818+1 14.9792295 2.142045+19549 3 1 1939 14.9878490 2.197925+1 14.9964685 2.260487+1 15.0007783 2.294672+19549 3 1 1940 15.0050880 2.331046+1 15.0093978 2.369838+1 15.0137075 2.411305+19549 3 1 1941 15.0180173 2.455748+1 15.0223270 2.503512+1 15.0266368 2.555006+19549 3 1 1942 15.0309465 2.610702+1 15.0352563 2.671163+1 15.0374111 2.703382+19549 3 1 1943 15.0395660 2.737052+1 15.0417209 2.772276+1 15.0438758 2.809168+19549 3 1 1944 15.0460306 2.847850+1 15.0481855 2.888464+1 15.0503404 2.931160+19549 3 1 1945 15.0524953 2.976106+1 15.0546501 3.023485+1 15.0568050 3.073507+19549 3 1 1946 15.0589599 3.126399+1 15.0611148 3.182417+1 15.0632696 3.241842+19549 3 1 1947 15.0654245 3.304999+1 15.0675794 3.372244+1 15.0697343 3.443977+19549 3 1 1948 15.0718891 3.520649+1 15.0740440 3.602778+1 15.0761989 3.690941+19549 3 1 1949 15.0783538 3.785795+1 15.0805086 3.888082+1 15.0826635 3.998666+19549 3 1 1950 15.0848184 4.118516+1 15.0869733 4.248747+1 15.0891281 4.390634+19549 3 1 1951 15.0912830 4.545660+1 15.0934379 4.715513+1 15.0955928 4.902145+19549 3 1 1952 15.0977476 5.107793+1 15.0999025 5.335068+1 15.1020574 5.586942+19549 3 1 1953 15.1042123 5.866831+1 15.1063671 6.178620+1 15.1085220 6.526751+19549 3 1 1954 15.1106769 6.916142+1 15.1128318 7.352203+1 15.1149866 7.840665+19549 3 1 1955 15.1160641 8.106413+1 15.1171415 8.387419+1 15.1182190 8.684399+19549 3 1 1956 15.1192964 8.997895+1 15.1214513 9.676372+1 15.1223132 9.967321+19549 3 1 1957 15.1231752 1.026949+2 15.1240371 1.058266+2 15.1248991 1.090657+29549 3 1 1958 15.1257610 1.124066+2 15.1266230 1.158430+2 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