4-Be- 9 ENDF/B-VI, Processed by Red Cullen using PREPRO2004 6000 0 0 0 4.00900E+3 8.93478E+0 0 0 0 2 425 1451 1 0.0 0.0 0 0 0 6 425 1451 2 1.00000E+0 2.00000E+7 8 0 10 6 425 1451 3 1.20000E+7 0.0 1 0 335 25 425 1451 4 4-BE- 9 LLNL,LANL EVAL-JAN86 PERKINS,PLECHATY,HOWERTON,FRANKLE 425 1451 5 DIST-SEP 1 REV1- 20010926 425 1451 6 ----ENDF/B-VI MATERIAL 425 425 1451 7 -----INCIDENT NEUTRON DATA 425 1451 8 ------ENDF-6 FORMAT 425 1451 9 425 1451 10 **************************************************************** 425 1451 11 425 1451 12 ENDF/B-VI MOD 2 Revision, June 2000, S.C.Frankle, R.C.Reedy, 425 1451 13 P.G.Young (LANL) 425 1451 14 425 1451 15 The secondary gamma-ray spectrum for radiative capture (MT 102) 425 1451 16 has been modified for incident neutron energies up to 20 MeV, 425 1451 17 based on new thermal neutron data. The Q-value for radiative capt. 425 1451 18 was also updated in File 3. Details of these changes are 425 1451 19 described in Frankle et al. [Fr2001]. 425 1451 20 425 1451 21 Additionally, the 9Be(n,t1) cross section was modified to agree 425 1451 22 with the gamma-ray experimental data of Nelson and Michaudon 425 1451 23 [Ne1999]. 425 1451 24 425 1451 25 ***************************************************************** 425 1451 26 425 1451 27 ENDF/B-VI MOD 1 Evaluation, January 1986, S.T. Perkins, 425 1451 28 E.F. Plechaty, and R.J. Howerton (LLNL) 425 1451 29 425 1451 30 GENERAL COMMENTS 425 1451 31 The neutron energy range covered extends from .00001 eV to 425 1451 32 20 MeV. In addition to elastic scattering which of course is 425 1451 33 everywhere energetically possible, the following reactions have 425 1451 34 thresholds at energies less than 20 MeV [Ho1970]: 425 1451 35 425 1451 36 reaction threshold (mev) 425 1451 37 n,2n 1.85 425 1451 38 n,p 14.26 425 1451 39 n,np 18.76 425 1451 40 n,d 16.29 425 1451 41 n,nd 18.55 425 1451 42 n,t 11.60 425 1451 43 n,nt 19.65 425 1451 44 n,alpha 0.67 425 1451 45 n,n alpha 2.74 425 1451 46 n,gamma exoergic 425 1451 47 425 1451 48 For the (n,np), (n,nd), and (n,nt) reactions, there are no 425 1451 49 measurements and since the thresholds are sufficiently high, 425 1451 50 these cross sections are assumed to be negligible. The 425 1451 51 (n,n alpha) reaction is a decay mode for the (n,2n) reaction 425 1451 52 since 5He is unstable, decaying immediately to a neutron and an 425 1451 53 alpha particle. The inelastic scattering reaction is also a 425 1451 54 decay mode for the (n,2n) reaction since the 9Be* recoil nucleus 425 1451 55 always decays to the final end products of a neutron and two 425 1451 56 alpha particles. 425 1451 57 The selection of the cross sections for elastic scattering, 425 1451 58 (n,2n), (n,p), (n,d), (n,t), (n, alpha), (n, gamma), and the 425 1451 59 (n,x gamma) reaction is discussed below. 425 1451 60 425 1451 61 ELASTIC SCATTERING CROSS SECTION 425 1451 62 The free atom cross section is used for all energies below 425 1451 63 the upper limit of the molecular binding energy (about 10 eV). 425 1451 64 This is effectively only the nuclear part of the cross section of 425 1451 65 a stationary target at zero Kelvin. It is strongly emphasized 425 1451 66 that the numbers are meaningless in the absence of a proper 425 1451 67 thermal treatment by either the processing code or the neutronics 425 1451 68 code which uses these numbers. They are likewise meaningless 425 1451 69 if the materials for which they are to be used are bound in 425 1451 70 molecules unless molecular binding is taken into account. 425 1451 71 The scattering cross section was taken equal to 6.15 barns 425 1451 72 [Mu1981] from 0.00001 eV to 0.01 MeV. From .01 MeV to the 425 1451 73 (n,alpha) threshold at 0.67 MeV, the elastic scattering cross 425 1451 74 section is equal to the total cross section since the (n,gamma) 425 1451 75 cross section is negligible. The cross section was based on 425 1451 76 experimental data [63, 92, 720, 772, 1002]. 425 1451 77 Above the (n,alpha) threshold, the scattering cross section 425 1451 78 was taken as the difference between the total and the nonelastic, 425 1451 79 with the nonelastic being equal to the sum of its parts. Up to 2 425 1451 80 MeV, the total cross section was based on the previously 425 1451 81 mentioned data, and those from [72, 336, 1642]. From 3.2-4.4 425 1451 82 MeV, the Argonne total cross section data was used [Sm1988]. 425 1451 83 From 4.5-10. MeV the Argonne elastic cross section data was used 425 1451 84 [Sm1988]. Also above 2. MeV, we relied on the results of Johnson 425 1451 85 [3088] over the 2.7 MeV resonance, and Foster [750] and the 425 1451 86 elastic scattering data from Hogue [4113] and Drake [4473] up to 425 1451 87 15 MeV. For incident neutron energies from 15 to 20 MeV, the 425 1451 88 data from Cook [107], Peterson [673], and Fossan [682] were used. 425 1451 89 425 1451 90 ELASTIC SCATTERING ANGULAR DISTRIBUTIONS 425 1451 91 (NORMALIZED PROBABILITIES) 425 1451 92 Up to 7 MeV, there are experimental differential scattering 425 1451 93 data [121, 151, 231, 296, 500, 571, 945, 1643, 1645, 1646, 1647] 425 1451 94 which were used to determine the normalized probabilities. Below 425 1451 95 the (n,2n) threshold, the total scattering data are equivalent 425 1451 96 to those for elastic scattering. The change in shape of the 425 1451 97 angular distribution going through the scattering resonances was 425 1451 98 taken into account. From 4.5-10 MeV the Argonne differential 425 1451 99 elastic scattering cross sections were used [SM1988]. From 6-15 425 1451 100 MeV, the results of [4113, 4473, 402, 2585, 3106] were also 425 1451 101 used. A smooth extrapolation was made to 20 MeV. 425 1451 102 425 1451 103 (N,2N) 425 1451 104 The evaluation for the 9Be (n,2n) reaction is described in 425 1451 105 detail in Perkins [Pe1985]. A Monte Carlo technique was used and 425 1451 106 the calculated spectra were compared against recent double 425 1451 107 differential cross section measurements. At each incident 425 1451 108 neutron energy, 5,000,000 events were sampled, resulting in 425 1451 109 10,000,000 secondary neutrons. The (n,2n) reaction was described 425 1451 110 by the following four events: 425 1451 111 Be9(n,n1)Be9*(n2)Be8*(alpha1)alpha2, 425 1451 112 Be9(n,n1)Be9*(alpha1)He5*(n2)alpha2, 425 1451 113 Be9(n,alpha1)He6*(n1)He5*(n2)alpha2, 425 1451 114 Be9(n,He5*1)He5*2, 425 1451 115 He5*1(n1)alpha1, 425 1451 116 He5*2(n2)alpha2. 425 1451 117 Where, n is neutron, alpha is alpha particle, and * denotes an 425 1451 118 excited state. Wide level transitions were considered as 425 1451 119 required. 425 1451 120 425 1451 121 TOTAL (N,2N) CROSS SECTION 425 1451 122 The total (n,2n) cross section was based on the data from 425 1451 123 [683, 763, 3320, 4473, 4871, 5660]. At 14 MeV, the weighted 425 1451 124 mean of the eight values measured between 1958-1963 was also 425 1451 125 considered. The resulting curve is similar to that used in 425 1451 126 ENDF/B-V. 425 1451 127 425 1451 128 (N,2N) DOUBLE DIFFERENTIAL SPECTRA 425 1451 129 The calculated double differential spectra were compared 425 1451 130 to 51 measurements between 3.25 and 15.4 MeV: 425 1451 131 [4871] (3.25-15.4 MEV), Drake [4473] (5.9-14.2 MeV), and 425 1451 132 Takahashi [Ta1982]. See also [Ta83] (14 MeV). Comparisons were 425 1451 133 made after weighing the calculated results with the experimental 425 1451 134 resolution function. The final calculated spectra were then 425 1451 135 smoothed and thinned. This yielded double differential spectra 425 1451 136 for both the secondary neutrons and the secondary alpha 425 1451 137 particles. 425 1451 138 425 1451 139 (N,P) CROSS SECTION 425 1451 140 This cross section is entirely for the (n,p0) reaction and 425 1451 141 was based on the data from Alburger [913] and Augustson [3492]. 425 1451 142 It was smoothly extrapolated from 15.5 to 20 MeV. The proton was 425 1451 143 assumed isotropic in its center of mass system. 425 1451 144 425 1451 145 (N,D) CROSS SECTION 425 1451 146 This cross section is entirely for the (n,d0) reaction and 425 1451 147 was based on the data between 15.5 and 19 MeV reported in Scobel 425 1451 148 [4841]. The deuteron was assumed isotropic in its center-of-mass 425 1451 149 system. 425 1451 150 425 1451 151 (N,T) CROSS SECTION 425 1451 152 The cross section for the (n,t) reaction is based on a 425 1451 153 (n,t0) and a(n,t1) component, which proceed through the 0. and 425 1451 154 the 0.477 MeV levels in 7Li respectively. The total (n,t) cross 425 1451 155 section near 14 mev was determined from [496, 3996, 5722]. 425 1451 156 The (n,t1) cross section was based on the work in Dietrich 425 1451 157 [5529] and smoothly extrapolated from 15 to 20 MeV. The 425 1451 158 resonance near threshold is consistent with structure in the 425 1451 159 compound system 10Be. 425 1451 160 Both tritons were assumed isotropic in their center-of-mass 425 1451 161 systems. 425 1451 162 425 1451 163 (N,ALPHA) CROSS SECTION 425 1451 164 The cross section was based on the measurements reported 425 1451 165 in Stelson [160], Vasilev [494], and Bass [733] up to neutron 425 1451 166 energies of 8.6 MeV. It was then tied into the four values given 425 1451 167 at 14 MeV by Battat [86], Myachkova [650], Paic [2367], and 425 1451 168 Perroud [Pe1978]. It was then extrapolated to 20 MeV. Note 425 1451 169 that the measured cross section is to 6He (0. MeV) which beta 425 1451 170 decays to 6Li; higher states in 6He decay to alpha + 2n. 425 1451 171 The alpha particle angular distribution was taken as isotropic 425 1451 172 in the center of mass system at threshold. At 14.1 MeV the data 425 1451 173 from the measurement of ref; 4351 was used; this distribution 425 1451 174 was also used at 20 MeV. 425 1451 175 425 1451 176 (N,GAMMA) CROSS SECTION 425 1451 177 The cross section was assumed to be 1/v below 100 eV with 425 1451 178 a 2200 m/sec cross section of 8.6 mb. This is in agreement with 425 1451 179 the CSEWG dosimetry and activation files. It was then 425 1451 180 extrapolated linearly on a log-log basis to 0.1 mb at 1 keV and 425 1451 181 then held constant at this value up to 20 MeV. 425 1451 182 425 1451 183 (N,X GAMMA) CROSS SECTION 425 1451 184 Gamma rays in 9Be are produced by the (n,gamma) and the (n,t) 425 1451 185 reactions. At thermal energies, Rasmussen [2415] quotes gamma 425 1451 186 ray energies of 0.8535, 2.59, 3.368, 3.444, 5.958 and 6.81 MeV 425 1451 187 and the corresponding (n,x gamma) cross sections. The photon 425 1451 188 spectrum from this work was used at all neutron energies. 425 1451 189 The multiplicity varied with neutron energy as m(e) = 425 1451 190 m(0)(e(cm)+Q)/Q, where m(0) is the multiplicity at thermal and 425 1451 191 Q is the (n,gamma) Q value. This combination of spectra and 425 1451 192 multiplicity conserves energy. There are no doubt other levels 425 1451 193 in 10Be with energies greater than 6.81 MeV are excited as the 425 1451 194 incident neutron energy is increased. The energies of the higher 425 1451 195 states have not yet been determined so we use this artifact to 425 1451 196 conserve energy. The component resulting from the (n,t) reaction 425 1451 197 is equal to the (n,t1) cross section since its multiplicity is 425 1451 198 unity. 425 1451 199 425 1451 200 REFERENCES 425 1451 201 425 1451 202 [Fr2001] S.C. Frankle, R.C. Reedy, and P.G. Young, "IMPROVED 425 1451 203 PHOTON-PRODUCTION DATA FOR THERMAL NEUTRON CAPTURE IN 425 1451 204 THE ENDF/B-VI EVALUATIONS," Los ALamos National 425 1451 205 Laboratory Report, LA-13812 (2001). 425 1451 206 [Ho1970] R.J. Howerton, Lawrence Radiation Laboratory report 425 1451 207 UCRL-50400, Vol. 9 (1970) 425 1451 208 [Mu1981] S.F. Mughabghab, M. Divadeenam, and N.E. Holden, Neutron 425 1451 209 Cross Sections, Vo1.1, Part A (Academic Press, 1981) 425 1451 210 [Ne1999] Nelson and A. Michaudon, Los Alamos report 425 1451 211 LA-UR-99-4170 (July, 1999) 425 1451 212 [Pe1974] J. P. Perroud and Ch. Sellem, Nucl.Phys. A227, 330 425 1451 213 (1974) 425 1451 214 [Pe1985] S.T. Perkins, E.F. Plechaty, R.J. Howerton, Nucl.Sci. 425 1451 215 Eng. 90, 83 (1985) 425 1451 216 [Sm1988] A.B. Smith, private communication (1988) 425 1451 217 [Ta1982] A. Takahashi et. al., Nuclear Data for Science and 425 1451 218 Tech., Proc. Conf., Antwerp, 1982 [CONF-820906] 425 1451 219 (D. Reidel Publishing, 1982) p. 360 425 1451 220 [Ta1983] A. Takahashi et. al., Osaka Univ., Japan, Oktavian 425 1451 221 report A-83-01 (1983) 425 1451 222 425 1451 223 (Reference numbers quoted following refer to data in the LLNL 425 1451 224 experimental neutron cross section library. see UCRL-50400, 425 1451 225 Vols. 2 and 3 for further information). 425 1451 226 425 1451 227 63. C.K. Bockelman, Phys.Rev. 80, 1011 (1950) 425 1451 228 72. C.K. Bockelman, D.W. Miller et al., Phys.Rev. 84, 69 (1951) 425 1451 229 86. M.E. Battat, F.L. Ribe, Phys.Rev. 89, 80 (1953) 425 1451 230 92. P.H. Stelson, private communication (1954) 425 1451 231 107. C.F. Cook, T.W. Bonner, Phys.Rev. 94, 651 (1954) 425 1451 232 121. H.B. Willard, J.K. Bair, J.D. Kington, Phys.Rev. 98, 669 425 1451 233 (1955) 425 1451 234 151. J.R. Beyster, M. Walt, E.W. Salmi, Phys.Rev. 104, 1319 425 1451 235 (1956) 425 1451 236 160. P.H. Stelson, E.C. Campbell, Phys.Rev. 106, 1252 (1957) 425 1451 237 231. A. Langsdorf, Jr., R.O. Lane, J.E. Monahan, Argonne report 425 1451 238 ANL-5567 (1956); see also, ANL-5554 P. 22 (1956), Phys. Rev. 425 1451 239 107, 1077 (1957), ANL-5567 (Rev.) (1961). 425 1451 240 296. M. Walt, J.R. Beyster, Phys.Rev. 98, 677 (1955) 425 1451 241 336. G.H. Stafford, Proc.Phys.Soc.(London) 64, 388 (1951) 425 1451 242 402. M.P. Nakada, J.D. Anderson et al., Phys.Rev. 110, 1439 425 1451 243 (1958) 425 1451 244 494. S.S. Vasilev, V.V. Kumarov, A.M. Popova, Doklady Akad.Nauk 425 1451 245 S.S.S.R. 119, 914 (1958); see Sov.Phys.-Doklady 3, 354 425 1451 246 (1958) for English translation; see also, J.Exp.Theoret. 425 1451 247 Phys.(USSR) 33, 527 (1957) 425 1451 248 496. M.E. Wyman, E.M. Fryer, M.M. Thorpe, Phys.Rev. 112, 1264 425 1451 249 (1958) 425 1451 250 500. J.B. Marion, J.S. Levin, L. Cranberg, Phys.Rev. 114, 1584 425 1451 251 (1959) 425 1451 252 571. R.O. Lane, A.S. Langsdorf, Jr. et al., Argonne report 425 1451 253 ANL-6172 (1960); see also, Ann.Phys.(N.Y.) 12, 135 (1961) 425 1451 254 650. S.A. Myachkova, V.P. Perelygin, J.Exp.Theoret.Phys. (USSR), 425 1451 255 40, 1244 (1961); see Sov.Phys. JETP 13,1244 (1961) for 425 1451 256 English translation 425 1451 257 673. J.M. Peterson, A. Bratenahl, J.P. Stoering, Phys.Rev. 120, 425 1451 258 521 (1960) 425 1451 259 682. D.B. Fossan, R.L. Walter et al., Phys.Rev. 123, 209 (1961) 425 1451 260 720. E.G. Bilpuch, J.A. Farrell et al., private communication 425 1451 261 (1962) 425 1451 262 733. R. Bass, T.W. Bonner, H.P. Haenni, Nucl.Phys. 23, 122 (1961) 425 1451 263 750. D.G. Foster, Jr., D.W. Glasgow, Phys.Rev.C, 3, 576 (1971) 425 1451 264 and private communication (1967); see also, HW-73116 (1962), 425 1451 265 HW-77311 (1963), Phys.Rev.C, 3, 604 (1971). 425 1451 266 763. M. Holmberg, J. Hansen, Nucl.Phys. A129, 305 (1969); see 425 1451 267 also, IAEA Conference on Nuclear Data, Paris, paper 425 1451 268 CN-23/18 (1966). 425 1451 269 772. A. Perrin, G. Surget et al., Compt.Rend. 255, 277 (1962). 425 1451 270 913. D.E. Alburger, Phys.Rev. 132, 328 (1963). 425 1451 271 945. H.O. Cohn, J.L. Fowler, Oak Ridge progress report ORNL-2610 425 1451 272 p. 14 (1958); see also Bull.Am.Phys.Soc. 3, 305 (1958). 425 1451 273 1002. C.T. Hibdon, A. Langsdorf, private communication (1954). 425 1451 274 1642. J.L. Fowler, H.O. Cohn, Bull.Am.Phys.Soc. 4, 385 (1959). 425 1451 275 1643. G.V. Gorlov, N.S. Lebedeva, V.M. Morozov, Doklady Akad.Nauk 425 1451 276 S.S.S.R. 158, 574 (1964); see Sov.Phys.-Doklady 9, 806 425 1451 277 (1965) for English translation; see also, Yad.Fiz. 5, 910 425 1451 278 (1967). 425 1451 279 1645. Private communication (1960) J.S. Levin, L. Cranberg, see 425 1451 280 also, WASH-1028 P. 26 (1960), WASH-1029 P. 44 (1960). 425 1451 281 1646. D.D. Phillips, private communication (1961) 425 1451 282 1647. R.O. Lane, A.J. Elwyn, A. Langsdorf, Jr., Phys.Rev. 133, 409 425 1451 283 (1964) 425 1451 284 2367. G. Paic, D. Rendic, P. Tomas, Nucl.Phys. 96, 476 (1967) 425 1451 285 2415. N.C. Rasmussen, V.J. Orphan et al., General Atomic report 425 1451 286 GA-10248 (DASA-2570) (1970). 425 1451 287 2585. R. Bouchez, J.C. Gondrand et al., IAEA Conference on Nuclear 425 1451 288 Data, Paris, Vol. I (1966) p.211, private communication 425 1451 289 (1966). 425 1451 290 3088. C.H. Johnson, F.X. Haas et al., Neutron Cross Sections and 425 1451 291 Technology, proc. conf., Washington D.C. (National Bureau of 425 1451 292 Standards, 1968) p. 851 425 1451 293 3106. J. Roturier, J.L. Ingaray, G.Y. Petit, Compt.Rend. 260, 4491 425 1451 294 (1965), see also NP-17794 (1968). 425 1451 295 3320. M. Bloser, Atomkernenergie 20,309 (1972) 425 1451 296 3492. R.H. Augustson, H.O. Menlove, Nucl.Sci.Eng. 54,190 (1974). 425 1451 297 3996. T. Biro, Z. Miligy et al., J.Inorg.Nucl.Chem. 37, 1583 425 1451 298 (1975) 425 1451 299 4113. H.H. Hogue, P.L. VonBehren et al., Nucl.Sci.Eng. 68, 38 425 1451 300 (1978) 425 1451 301 4351. W. Smolec, S. Burzynski et al., Nucl.Phys. A257, 397 (1976) 425 1451 302 4473. D.M. Drake, G.F. Auchampaugh, et al., Nucl.Sci.Eng. 63,401 425 1451 303 (1977) 425 1451 304 4841. W. Scobel, M. Bormann, Z.Naturforsch. 25a, 1406 (1970). 425 1451 305 5529. F.S. Dietrich, L.F. Hansen, R.P. Koopman, Nucl.Sci.Eng. 61, 425 1451 306 267 (1976). 425 1451 307 5722. Z. T. Body, F. Cserpak et al., Nuclear Data for Science and 425 1451 308 Technology, proc. conf., Antwerp, Belgium, 1982 (D. Reidel 425 1451 309 Publishing, 1982) p. 368 425 1451 310 425 1451 311 ************************ C O N T E N T S *********************** 425 1451 312 ***************** Program LINEAR (VERSION 2004-1) *************** 425 1451 313 For All Data Greater than 1.0000E-10 barns in Absolute Value 425 1451 314 Data Linearized to Within an Accuracy of .100000000 per-cent 425 1451 315 ***************** Program SIGMA1 (VERSION 2004-1) *************** 425 1451 316 Data Doppler Broadened to 1500.00000 Kelvin 425 1451 317 for All Data Greater than 1.0000E-10 barns in Absolute Value 425 1451 318 Data Linearized to Within an Accuracy pf .100000000 per-cent 425 1451 319 ***************** Program SIGMA1 (VERSION 2004-1) *************** 425 1451 320 Data Doppler Broadened to 12000000.0 Kelvin 425 1451 321 for All Data Greater than 1.0000E-10 barns in Absolute Value 425 1451 322 Data Linearized to Within an Accuracy pf .100000000 per-cent 425 1451 323 ***************** Program FIXUP (Version 2004-1) **************** 425 1451 324 Corrected ZA/AWR in All Sections-----------------------------Yes 425 1451 325 Corrected Thresholds-----------------------------------------No 425 1451 326 Extended Cross Sections to 20 MeV----------------------------No 425 1451 327 Allow Cross Section Deletion---------------------------------No 425 1451 328 Allow Cross Section Reconstruction---------------------------Yes 425 1451 329 Make All Cross Sections Non-Negative-------------------------Yes 425 1451 330 Delete Energies Not in Ascending Order-----------------------Yes 425 1451 331 Deleted Duplicate Points-------------------------------------Yes 425 1451 332 Check for Ascending MAT/MF/MT Order--------------------------Yes 425 1451 333 Check for Legal MF/MT Numbers--------------------------------Yes 425 1451 334 Allow Creation of Missing Sections---------------------------No 425 1451 335 Allow Insertion of Energy Points-----------------------------No 425 1451 336 Create Uniform Energy Grid-----------------------------------No 425 1451 337 Delete Section if Cross Section =0 at All Energies-----------Yes 425 1451 338 **************** Program DICTIN (VERSION 2004-1) **************** 425 1451 339 1 451 364 2 425 1451 340 2 151 4 1 425 1451 341 3 1 590 1 425 1451 342 3 2 132 1 425 1451 343 3 3 531 1 425 1451 344 3 16 92 1 425 1451 345 3 102 78 2 425 1451 346 3 103 63 1 425 1451 347 3 104 78 1 425 1451 348 3 105 162 1 425 1451 349 3 107 82 1 425 1451 350 3 600 63 1 425 1451 351 3 650 78 1 425 1451 352 3 700 78 1 425 1451 353 3 701 91 1 425 1451 354 3 800 82 1 425 1451 355 4 2 410 1 425 1451 356 6 16 13032 1 425 1451 357 6 600 7 1 425 1451 358 6 650 7 1 425 1451 359 6 700 7 1 425 1451 360 6 701 16 1 425 1451 361 6 800 7 1 425 1451 362 12 102 37 2 425 1451 363 14 102 1 2 425 1451 364 425 1 0 365 425 0 0 366 4.00900E+3 8.93478E+0 0 0 1 0 425 2151 367 4.00900E+3 1.00000E+0 0 0 1 0 425 2151 368 1.00000E-5 2.00000E+7 0 0 0 0 425 2151 369 1.50000E+0 6.99400E-1 0 0 0 0 425 2151 370 425 2 0 371 425 0 0 372 4.00900E+3 8.93478E+0 0 0 0 0 425 3 1 373 0.0 0.0 0 0 1 1761 425 3 1 374 1761 2 425 3 1 375 1.00000E-5 23613.8880 1.08624E-5 22657.1148 1.17903E-5 21747.2609 425 3 1 376 1.28071E-5 20866.1394 1.39012E-5 20028.1867 1.51000E-5 19216.7100 425 3 1 377 1.63900E-5 18445.0015 1.78034E-5 17697.6678 1.93243E-5 16986.9639 425 3 1 378 2.09909E-5 16298.6633 2.27840E-5 15644.1810 2.47489E-5 15010.3070 425 3 1 379 2.68630E-5 14407.5422 2.91798E-5 13823.7661 3.16724E-5 13268.6570 425 3 1 380 3.44039E-5 12731.0346 3.73428E-5 12219.7983 4.05633E-5 11724.6775 425 3 1 381 4.40284E-5 11253.8496 4.78255E-5 10797.8626 5.19109E-5 10364.2572 425 3 1 382 5.63878E-5 9944.31775 6.12047E-5 9544.98506 6.64831E-5 9158.23853 425 3 1 383 7.21623E-5 8790.47472 7.83857E-5 8434.30257 8.50817E-5 8095.60683 425 3 1 384 9.24194E-5 7767.58552 .000100314 7455.66678 .000108965 7153.59132 425 3 1 385 .000118274 6866.31264 .000128474 6588.09782 .000139449 6323.54571 425 3 1 386 .000151475 6067.32433 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14075281.6 2.07452E-9 14076463.5 2.24491E-9 425 3103 1817 14077645.4 2.42836E-9 14078827.3 2.62579E-9 14080009.1 2.83815E-9 425 3103 1818 14081191.1 3.06655E-9 14082372.9 3.31201E-9 14083554.8 3.57577E-9 425 3103 1819 14084736.7 3.85905E-9 14085918.6 4.16318E-9 14087100.5 4.48956E-9 425 3103 1820 14088282.4 4.83966E-9 14089464.2 5.21505E-9 14090646.2 5.61748E-9 425 3103 1821 14091828.1 6.04861E-9 14093010.0 6.51036E-9 14094191.9 7.00469E-9 425 3103 1822 14095373.8 7.53369E-9 14096555.7 8.09957E-9 14097737.6 8.70466E-9 425 3103 1823 14098919.4 9.35135E-9 14100101.4 1.00424E-8 14101283.2 1.07803E-8 425 3103 1824 14102465.1 1.15682E-8 14103647.0 1.24089E-8 14105222.8 1.36177E-8 425 3103 1825 14106798.7 1.49344E-8 14108374.5 1.63674E-8 14109950.4 1.79260E-8 425 3103 1826 14111526.2 1.96200E-8 14113102.1 2.14599E-8 14114677.9 2.34567E-8 425 3103 1827 14116253.8 2.56225E-8 14117829.7 2.79698E-8 14119405.6 3.05121E-8 425 3103 1828 14120981.4 3.32635E-8 14122557.3 3.62395E-8 14124133.1 3.94557E-8 425 3103 1829 14125709.0 4.29295E-8 14127284.8 4.66786E-8 14128860.7 5.07223E-8 425 3103 1830 14130436.5 5.50804E-8 14132012.4 5.97746E-8 14133588.2 6.48267E-8 425 3103 1831 14135164.1 7.02609E-8 14136739.9 7.61014E-8 14138315.8 8.23750E-8 425 3103 1832 14139891.6 8.91083E-8 14141467.5 9.63310E-8 14143043.4 1.04073E-7 425 3103 1833 14144619.3 1.12366E-7 14146195.1 1.21242E-7 14147771.0 1.30738E-7 425 3103 1834 14149346.8 1.40888E-7 14150922.7 1.51731E-7 14152498.5 1.63306E-7 425 3103 1835 14154074.4 1.75654E-7 14155650.2 1.88819E-7 14157226.1 2.02844E-7 425 3103 1836 14158801.9 2.17776E-7 14160377.8 2.33663E-7 14161953.6 2.50554E-7 425 3103 1837 14163529.5 2.68502E-7 14165105.3 2.87559E-7 14166681.2 3.07782E-7 425 3103 1838 14169045.1 3.40426E-7 14171408.8 3.76017E-7 14173772.6 4.14768E-7 425 3103 1839 14176136.4 4.56896E-7 14178500.2 5.02629E-7 14180863.9 5.52200E-7 425 3103 1840 14183227.7 6.05857E-7 14185591.5 6.63852E-7 14187955.3 7.26444E-7 425 3103 1841 14190319.0 7.93899E-7 14192682.9 8.66499E-7 14195046.7 9.44516E-7 425 3103 1842 14197410.5 1.02824E-6 14199774.2 1.11796E-6 14202138.0 1.21397E-6 425 3103 1843 14204501.8 1.31658E-6 14206865.6 1.42607E-6 14209229.3 1.54276E-6 425 3103 1844 14211593.1 1.66695E-6 14213956.9 1.79894E-6 14217108.6 1.98758E-6 425 3103 1845 14220260.4 2.19133E-6 14223412.1 2.41087E-6 14226563.8 2.64688E-6 425 3103 1846 14229715.5 2.90002E-6 14232867.2 3.17090E-6 14236018.9 3.46011E-6 425 3103 1847 14239170.6 3.76821E-6 14242322.3 4.09570E-6 14245474.0 4.44306E-6 425 3103 1848 14248625.7 4.81069E-6 14251777.4 5.19896E-6 14256504.9 5.82069E-6 425 3103 1849 14261232.5 6.49030E-6 14265960.0 7.20823E-6 14270460.6 7.93672E-6 425 3103 1850 14274961.0 8.70894E-6 14279461.5 9.52449E-6 14285462.1 1.06781E-5 425 3103 1851 14291462.7 1.19051E-5 14297463.4 1.32027E-5 14304964.1 1.49182E-5 425 3103 1852 14313965.0 1.71033E-5 14322966.0 1.94115E-5 14331966.9 2.18264E-5 425 3103 1853 14343968.2 2.51839E-5 14361970.0 3.04416E-5 14385972.5 3.77104E-5 425 3103 1854 14451979.4 5.82196E-5 14541988.8 8.64832E-5 14577992.5 9.81899E-5 425 3103 1855 14601995.0 .000106418 14625997.5 .000115199 14650000.0 .000124687 425 3103 1856 14675781.3 .000135730 14701562.5 .000147571 14744531.3 .000168524 425 3103 1857 15062500.0 .000330181 15148437.5 .000374898 15200000.0 .000403900 425 3103 1858 15256250.0 .000438547 15425000.0 .000550195 15593750.0 .000661554 425 3103 1859 15650000.0 .000695364 15706250.0 .000725261 15875000.0 .000804925 425 3103 1860 15950000.0 .000838512 16175000.0 .000930119 16475000.0 .001049273 425 3103 1861 16550000.0 .001073953 16608372.9 .001087488 17016983.1 .001150900 425 3103 1862 18000000.0 .001298709 19507897.0 .001450823 20000000.0 .001497305 425 3103 1863 425 3 0 1864 4.00900E+3 8.93478E+0 0 0 0 0 425 3104 1865 -1.46600E+7-1.46600E+7 0 0 1 225 425 3104 1866 225 2 425 3104 1867 15869349.4 0.0 15977207.1 2.6664E-13 16031135.9 2.7199E-11 425 3104 1868 16044618.1 7.7011E-11 16047988.7 9.9188E-11 16049252.7 1.0898E-10 425 3104 1869 16050516.6 1.1970E-10 16051780.6 1.3141E-10 16053044.5 1.4421E-10 425 3104 1870 16054308.5 1.5820E-10 16055572.5 1.7348E-10 16056836.4 1.9015E-10 425 3104 1871 16058100.3 2.0834E-10 16059364.3 2.2819E-10 16060628.3 2.4982E-10 425 3104 1872 16061892.3 2.7340E-10 16063156.2 2.9908E-10 16064420.1 3.2705E-10 425 3104 1873 16065684.1 3.5749E-10 16066948.1 3.9061E-10 16068212.0 4.2663E-10 425 3104 1874 16069476.0 4.6579E-10 16070739.9 5.0834E-10 16072003.9 5.5456E-10 425 3104 1875 16073267.8 6.0474E-10 16074531.8 6.5921E-10 16075795.8 7.1830E-10 425 3104 1876 16077059.7 7.8238E-10 16078323.6 8.5183E-10 16079587.6 9.2710E-10 425 3104 1877 16080851.6 1.00862E-9 16082115.6 1.09688E-9 16083379.5 1.19239E-9 425 3104 1878 16084643.4 1.29571E-9 16085907.4 1.40744E-9 16087171.4 1.52821E-9 425 3104 1879 16088435.3 1.65869E-9 16089699.3 1.79961E-9 16090963.3 1.95176E-9 425 3104 1880 16092227.3 2.11594E-9 16093491.2 2.29303E-9 16094755.2 2.48399E-9 425 3104 1881 16096019.2 2.68981E-9 16097283.1 2.91155E-9 16098547.0 3.15034E-9 425 3104 1882 16099811.0 3.40742E-9 16101075.0 3.68407E-9 16102339.0 3.98164E-9 425 3104 1883 16103602.9 4.30156E-9 16104866.8 4.64540E-9 16106130.8 5.01483E-9 425 3104 1884 16107394.8 5.41156E-9 16108658.7 5.83741E-9 16109922.7 6.29439E-9 425 3104 1885 16111186.6 6.78452E-9 16112450.6 7.31006E-9 16113714.5 7.87326E-9 425 3104 1886 16114978.5 8.47668E-9 16116242.5 9.12286E-9 16117506.4 9.81452E-9 425 3104 1887 16118770.3 1.05546E-8 16120034.3 1.13463E-8 16121298.3 1.21927E-8 425 3104 1888 16122562.3 1.30973E-8 16123826.2 1.40636E-8 16125090.1 1.50955E-8 425 3104 1889 16126354.1 1.61972E-8 16127196.7 1.69723E-8 16128882.0 1.86263E-8 425 3104 1890 16130567.3 2.04280E-8 16132252.5 2.23888E-8 16133937.8 2.45217E-8 425 3104 1891 16135623.1 2.68399E-8 16137308.4 2.93578E-8 16138993.6 3.20906E-8 425 3104 1892 16140678.9 3.50548E-8 16142364.2 3.82676E-8 16144049.5 4.17473E-8 425 3104 1893 16145734.7 4.55134E-8 16147420.0 4.95870E-8 16149105.3 5.39899E-8 425 3104 1894 16150790.6 5.87454E-8 16152475.8 6.38778E-8 16154161.1 6.94140E-8 425 3104 1895 16155846.4 7.53811E-8 16157531.7 8.18082E-8 16159216.9 8.87256E-8 425 3104 1896 16160902.2 9.61665E-8 16162587.5 1.04165E-7 16164272.8 1.12755E-7 425 3104 1897 16165958.0 1.21976E-7 16167643.3 1.31868E-7 16169328.6 1.42471E-7 425 3104 1898 16171013.9 1.53829E-7 16172699.1 1.65986E-7 16174384.4 1.78992E-7 425 3104 1899 16176069.7 1.92896E-7 16177755.0 2.07749E-7 16179440.2 2.23605E-7 425 3104 1900 16181125.5 2.40522E-7 16182810.8 2.58558E-7 16184496.1 2.77773E-7 425 3104 1901 16186181.3 2.98230E-7 16187866.6 3.19998E-7 16189551.9 3.43143E-7 425 3104 1902 16191237.2 3.67737E-7 16192922.4 3.93850E-7 16194607.7 4.21562E-7 425 3104 1903 16197135.7 4.66298E-7 16199663.5 5.15074E-7 16202191.5 5.68187E-7 425 3104 1904 16204719.4 6.25930E-7 16207247.3 6.88616E-7 16209775.2 7.56570E-7 425 3104 1905 16212303.1 8.30127E-7 16214831.0 9.09634E-7 16217359.0 9.95452E-7 425 3104 1906 16219886.8 1.08794E-6 16222414.8 1.18748E-6 16224942.7 1.29446E-6 425 3104 1907 16227470.6 1.40927E-6 16229998.5 1.53231E-6 16232526.4 1.66399E-6 425 3104 1908 16235054.3 1.80471E-6 16237582.3 1.95490E-6 16240110.1 2.11496E-6 425 3104 1909 16242638.1 2.28531E-6 16245166.0 2.46637E-6 16248536.5 2.72515E-6 425 3104 1910 16251907.1 3.00468E-6 16255277.6 3.30590E-6 16258648.2 3.62974E-6 425 3104 1911 16262018.7 3.97708E-6 16265389.3 4.34881E-6 16268759.8 4.74571E-6 425 3104 1912 16272130.4 5.16857E-6 16275500.9 5.61805E-6 16278871.5 6.09485E-6 425 3104 1913 16282242.0 6.59948E-6 16285612.6 7.13250E-6 16290668.4 7.98607E-6 425 3104 1914 16295724.2 8.90547E-6 16300780.0 9.89134E-6 16306621.2 1.11134E-5 425 3104 1915 16312462.3 1.24240E-5 16318303.4 1.38221E-5 16324144.4 1.53057E-5 425 3104 1916 16329985.5 1.68724E-5 16337773.7 1.90852E-5 16345561.8 2.14316E-5 425 3104 1917 16355296.9 2.45382E-5 16365032.1 2.78203E-5 16374767.3 3.12606E-5 425 3104 1918 16386449.4 3.55784E-5 16398131.6 4.00921E-5 16409813.8 4.48067E-5 425 3104 1919 16421496.0 4.97510E-5 16433178.2 5.49818E-5 16444860.4 6.05887E-5 425 3104 1920 16452648.5 6.45957E-5 16460436.6 6.88702E-5 16468224.8 7.34648E-5 425 3104 1921 16476012.9 7.84376E-5 16483801.0 8.38521E-5 16491589.1 8.97749E-5 425 3104 1922 16499377.3 9.62747E-5 16507165.4 .000103420 16514953.5 .000111276 425 3104 1923 16522741.6 .000119905 16530529.8 .000129362 16538317.9 .000139695 425 3104 1924 16546106.0 .000150943 16554687.5 .000164432 16559375.0 .000172294 425 3104 1925 16568750.0 .000189081 16578125.0 .000207294 16587500.0 .000226938 425 3104 1926 16596875.0 .000248015 16606250.0 .000270529 16615625.0 .000294497 425 3104 1927 16625000.0 .000319947 16634375.0 .000346924 16643750.0 .000375490 425 3104 1928 16653125.0 .000405716 16662500.0 .000437682 16671875.0 .000471466 425 3104 1929 16685937.5 .000525690 16700000.0 .000584291 16711718.8 .000636469 425 3104 1930 16727343.8 .000710593 16742968.8 .000789505 16762500.0 .000893914 425 3104 1931 16785937.5 .001025854 16817187.5 .001210048 16848437.5 .001403134 425 3104 1932 16871875.0 .001556653 16887500.0 .001665446 16903125.0 .001781245 425 3104 1933 16918750.0 .001905647 16934375.0 .002039992 16950000.0 .002185095 425 3104 1934 16968750.0 .002373492 16987500.0 .002576060 17015625.0 .002899513 425 3104 1935 17071875.0 .003560899 17100000.0 .003870516 17131250.0 .004186291 425 3104 1936 17162500.0 .004474147 17209375.0 .004870772 17256250.0 .005244975 425 3104 1937 17303125.0 .005598328 17350000.0 .005915885 17396875.0 .006188392 425 3104 1938 17475000.0 .006574386 17787500.0 .008007207 17850000.0 .008271150 425 3104 1939 17937500.0 .008598029 18156250.0 .009338490 18243750.0 .009582023 425 3104 1940 18725000.0 .010625572 18900000.0 .010974755 19050000.0 .011175111 425 3104 1941 19500000.0 .011685103 19875000.0 .011924677 20000000.0 .011983836 425 3104 1942 425 3 0 1943 4.00900E+3 8.93478E+0 0 0 0 0 425 3105 1944 -1.04400E+7-1.04400E+7 0 0 1 476 425 3105 1945 476 2 425 3105 1946 11244843.8 0.0 11335750.4 4.5521E-12 11358477.1 5.0469E-11 425 3105 1947 11364158.8 8.9440E-11 11364869.0 9.5993E-11 11365579.2 1.0301E-10 425 3105 1948 11366289.4 1.1051E-10 11366999.6 1.1855E-10 11367709.8 1.2714E-10 425 3105 1949 11368420.0 1.3633E-10 11369130.2 1.4616E-10 11369840.4 1.5667E-10 425 3105 1950 11370550.7 1.6791E-10 11371260.9 1.7992E-10 11371971.1 1.9275E-10 425 3105 1951 11372681.3 2.0646E-10 11373391.5 2.2111E-10 11374101.7 2.3675E-10 425 3105 1952 11374811.9 2.5345E-10 11375522.1 2.7128E-10 11376232.3 2.9032E-10 425 3105 1953 11376942.5 3.1063E-10 11377652.7 3.3231E-10 11378362.9 3.5543E-10 425 3105 1954 11379073.1 3.8010E-10 11379783.3 4.0640E-10 11380493.5 4.3445E-10 425 3105 1955 11381203.7 4.6435E-10 11381914.0 4.9622E-10 11382624.2 5.3017E-10 425 3105 1956 11383334.4 5.6635E-10 11384044.6 6.0490E-10 11384754.8 6.4594E-10 425 3105 1957 11385465.0 6.8965E-10 11386175.2 7.3619E-10 11386885.4 7.8572E-10 425 3105 1958 11387595.6 8.3844E-10 11388305.8 8.9453E-10 11389016.0 9.5421E-10 425 3105 1959 11389726.2 1.01769E-9 11390791.5 1.12053E-9 11391856.8 1.23327E-9 425 3105 1960 11392922.2 1.35682E-9 11393987.5 1.49213E-9 11395052.8 1.64029E-9 425 3105 1961 11396118.1 1.80243E-9 11397183.4 1.97980E-9 11398248.7 2.17376E-9 425 3105 1962 11399314.0 2.38577E-9 11400379.3 2.61741E-9 11401444.6 2.87040E-9 425 3105 1963 11402509.9 3.14659E-9 11403575.2 3.44797E-9 11404640.6 3.77675E-9 425 3105 1964 11405705.9 4.13520E-9 11406771.2 4.52587E-9 11407836.5 4.95148E-9 425 3105 1965 11408901.8 5.41497E-9 11409967.1 5.91949E-9 11411032.4 6.46846E-9 425 3105 1966 11412097.7 7.06555E-9 11413163.0 7.71469E-9 11414228.3 8.42015E-9 425 3105 1967 11415293.6 9.18649E-9 11416359.0 1.00187E-8 11417424.3 1.09219E-8 425 3105 1968 11418489.6 1.19019E-8 11419554.9 1.29646E-8 11420620.2 1.41168E-8 425 3105 1969 11421685.5 1.53652E-8 11422750.8 1.67176E-8 11423816.1 1.81818E-8 425 3105 1970 11424881.4 1.97665E-8 11425946.7 2.14809E-8 11427012.1 2.33351E-8 425 3105 1971 11428077.4 2.53392E-8 11429142.7 2.75048E-8 11430208.0 2.98437E-8 425 3105 1972 11431273.3 3.23690E-8 11432338.6 3.50943E-8 11433404.0 3.80345E-8 425 3105 1973 11434469.3 4.12048E-8 11435534.6 4.46220E-8 11436599.9 4.83039E-8 425 3105 1974 11437665.2 5.22693E-8 11438730.6 5.65389E-8 11439795.9 6.11331E-8 425 3105 1975 11440861.2 6.60751E-8 11441926.5 7.13891E-8 11442991.8 7.71009E-8 425 3105 1976 11444057.1 8.32376E-8 11445122.4 8.98282E-8 11446187.7 9.69034E-8 425 3105 1977 11447253.0 1.04496E-7 11448318.3 1.12640E-7 11449383.6 1.21373E-7 425 3105 1978 11450449.0 1.30733E-7 11451514.3 1.40761E-7 11452579.6 1.51500E-7 425 3105 1979 11453644.9 1.62997E-7 11454710.2 1.75299E-7 11455775.5 1.88458E-7 425 3105 1980 11456840.8 2.02528E-7 11457906.1 2.17566E-7 11458971.4 2.33633E-7 425 3105 1981 11460036.7 2.50791E-7 11461102.1 2.69109E-7 11462167.4 2.88655E-7 425 3105 1982 11463587.8 3.16757E-7 11465008.2 3.47362E-7 11466428.6 3.80671E-7 425 3105 1983 11467849.0 4.16896E-7 11469269.4 4.56265E-7 11470689.8 4.99022E-7 425 3105 1984 11472110.2 5.45424E-7 11473530.7 5.95751E-7 11474951.1 6.50288E-7 425 3105 1985 11476371.5 7.09352E-7 11477791.9 7.73273E-7 11479212.4 8.42407E-7 425 3105 1986 11480632.8 9.17116E-7 11482053.2 9.97800E-7 11483473.6 1.08488E-6 425 3105 1987 11484894.1 1.17879E-6 11486314.5 1.28000E-6 11487734.9 1.38900E-6 425 3105 1988 11489155.3 1.50631E-6 11490575.7 1.63247E-6 11491996.1 1.76807E-6 425 3105 1989 11493416.5 1.91370E-6 11494836.9 2.07001E-6 11496257.4 2.23766E-6 425 3105 1990 11497677.8 2.41735E-6 11499098.2 2.60981E-6 11500518.6 2.81580E-6 425 3105 1991 11501939.0 3.03614E-6 11503359.4 3.27166E-6 11504779.8 3.52324E-6 425 3105 1992 11506200.2 3.79179E-6 11507620.7 4.07829E-6 11509041.1 4.38367E-6 425 3105 1993 11510461.5 4.70900E-6 11511881.9 5.05534E-6 11513302.3 5.42380E-6 425 3105 1994 11514722.7 5.81554E-6 11516143.1 6.23175E-6 11517563.5 6.67366E-6 425 3105 1995 11518984.0 7.14259E-6 11521114.6 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