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+8 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 120000000. 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 1 632 1 425 1451 342 3 2 130 1 425 1451 343 3 3 578 1 425 1451 344 3 16 101 1 425 1451 345 3 102 85 2 425 1451 346 3 103 68 1 425 1451 347 3 104 82 1 425 1451 348 3 105 171 1 425 1451 349 3 107 93 1 425 1451 350 3 600 68 1 425 1451 351 3 650 82 1 425 1451 352 3 700 82 1 425 1451 353 3 701 96 1 425 1451 354 3 800 93 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 1885 425 3 1 374 1885 2 425 3 1 375 1.00000E-5 74636.1405 1.08624E-5 71612.0788 1.17903E-5 68736.3143 425 3 1 376 1.28071E-5 65951.3641 1.39012E-5 63302.8567 1.51000E-5 60738.0318 425 3 1 377 1.63900E-5 58298.9021 1.78034E-5 55936.8131 1.93243E-5 53690.4994 425 3 1 378 2.09909E-5 51514.9959 2.27840E-5 49446.3809 2.47489E-5 47442.9028 425 3 1 379 2.68630E-5 45537.7508 2.91798E-5 43692.6165 3.16724E-5 41938.0895 425 3 1 380 3.44039E-5 40238.8328 3.73428E-5 38622.9737 4.05633E-5 37058.0512 425 3 1 381 4.40284E-5 35569.9107 4.78255E-5 34128.6776 5.19109E-5 32758.1856 425 3 1 382 5.63878E-5 31430.8878 6.12047E-5 30168.7214 6.64831E-5 28946.3359 425 3 1 383 7.21623E-5 27783.9488 7.83857E-5 26658.1994 8.50817E-5 25587.6873 425 3 1 384 9.24194E-5 24550.9139 .000100314 23565.0356 .000108965 22610.2690 425 3 1 385 .000118274 21702.2702 .000128474 20822.9195 .000139449 19986.7524 425 3 1 386 .000151475 19176.9161 .000164414 18406.8426 .000178594 17661.0216 425 3 1 387 .000193850 16951.8214 .000210568 16264.9627 .000228555 15611.8164 425 3 1 388 .000248267 14979.2396 .000269474 14377.7359 .000292714 13795.1848 425 3 1 389 .000317719 13241.2068 .000345120 12704.6941 .000374601 12194.5181 425 3 1 390 .000406908 11700.4126 .000441667 11230.5678 .000479757 10775.5299 425 3 1 391 .000520740 10342.8156 .000565650 9923.74083 .000613970 9525.23848 425 3 1 392 .000666920 9139.28987 .000723890 8772.28905 .000786320 8416.85173 425 3 1 393 .000853490 8078.85868 .000927097 7751.51815 .001006293 7440.24253 425 3 1 394 .001093078 7138.77674 .001186453 6852.10766 .001288775 6574.47156 425 3 1 395 .001398867 6310.46360 .001519507 6054.77598 .001649310 5811.63540 425 3 1 396 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3.16724E-5 .696297456 425 3102 1825 3.44039E-5 .668084719 3.73428E-5 .641256633 4.05633E-5 .615274245 425 3102 1826 4.40284E-5 .590566667 4.78255E-5 .566637895 5.19109E-5 .543883634 425 3102 1827 5.63878E-5 .521846527 6.12047E-5 .500890795 6.64831E-5 .480595543 425 3102 1828 7.21623E-5 .461296446 7.83857E-5 .442605643 8.50817E-5 .424831946 425 3102 1829 9.24194E-5 .407618410 .000100314 .391249887 .000108965 .375397908 425 3102 1830 .000118274 .360322417 .000128474 .345722569 .000139449 .331839697 425 3102 1831 .000151475 .318393995 .000164414 .305608475 .000178594 .293225618 425 3102 1832 .000193850 .281450775 .000210568 .270046871 .000228555 .259202689 425 3102 1833 .000248267 .248700025 .000269474 .238713267 .000292714 .229041180 425 3102 1834 .000317719 .219843490 .000345120 .210935777 .000374601 .202465329 425 3102 1835 .000406908 .194261701 .000441667 .186460873 .000479757 .178905886 425 3102 1836 .000520740 .171721536 .000565650 .164763642 .000613970 .158147311 425 3102 1837 .000666920 .151739411 .000723890 .145646100 .000786320 .139744777 425 3102 1838 .000853490 .134133081 .000927097 .128698246 .001006293 .123530143 425 3102 1839 .001093078 .118524915 .001186453 .113765356 .001288775 .109155772 425 3102 1840 .001398867 .104772456 .001519507 .100527287 .001649310 .096490434 425 3102 1841 .001791549 .092580822 .001944590 .088863084 .002112295 .085262517 425 3102 1842 .002292735 .081838657 .002490465 .078522707 .002703210 .075369494 425 3102 1843 .002936340 .072315661 .003187173 .069411705 .003462041 .066599270 425 3102 1844 .003757782 .063924864 .004081860 .061334745 .004430548 .058871747 425 3102 1845 .004812647 .056486373 .005223761 .054218075 .005674268 .052021264 425 3102 1846 .006158986 .049932268 .006690148 .047909109 .007261646 .045985243 425 3102 1847 .007887904 .044122010 .008561718 .042350222 .009300097 .040634273 425 3102 1848 .010094547 .039002541 .010965119 .037422237 .011901801 .035919493 425 3102 1849 .012928235 .034464109 .014032614 .033080154 .015242812 .031739816 425 3102 1850 .016544912 .030465258 .017971775 .029230871 .019506993 .028057066 425 3102 1851 .021189312 .026920257 .022999384 .025839241 .024798654 .024884218 425 3102 1852 .025300000 .024636434 .027481919 .023638223 .029829529 .022689004 425 3102 1853 .032402083 .021769702 .035169992 .020895517 .038203117 .020048885 425 3102 1854 .041466574 .019243803 .045042727 .018464097 .048890449 .017722658 425 3102 1855 .053106852 .017004586 .057643442 .016321757 .062614718 .015660450 425 3102 1856 .067963507 .015031600 .073824805 .014422568 .080131202 .013843429 425 3102 1857 .087041865 .013282543 .094477313 .012749184 .102625211 .012232637 425 3102 1858 .111391849 .011741442 .120998487 .011265729 .131334640 .010813364 425 3102 1859 .142661181 .010375257 .154847845 .009958654 .168202208 .009555181 425 3102 1860 .182570683 .009171512 .198315915 .008799936 .215256819 .008446598 425 3102 1861 .233820963 .008104397 .253794844 .007778992 .275682578 .007463846 425 3102 1862 .299232438 .007164167 .325038795 .006873936 .352804851 .006597950 425 3102 1863 .383231391 .006330665 .415968481 .006076499 .451842369 .005830346 425 3102 1864 .490440471 .005596277 .532736961 .005369587 .578245388 .005154025 425 3102 1865 .628114335 .004945259 .681770263 .004746742 .740567386 .004554484 425 3102 1866 .803829483 .004371665 .873153218 .004194611 .947741303 .004026250 425 3102 1867 1.02947626 .003863198 1.11741806 .003708152 1.21378625 .003557997 425 3102 1868 1.31747251 .003415214 1.43109376 .003276936 1.55334326 .003145448 425 3102 1869 1.68730644 .003018108 1.83144261 .002897023 1.98938959 .002779759 425 3102 1870 2.15933086 .002668254 2.34555553 .002560269 2.54592185 .002457589 425 3102 1871 2.76548683 .002358151 3.00172529 .002263599 3.26059961 .002172033 425 3102 1872 3.53913249 .002084967 3.84435379 .002000651 4.17275319 .001920481 425 3102 1873 4.53261911 .001842844 4.91981276 .001769025 5.34410647 .001697540 425 3102 1874 5.80062047 .001629572 6.30087666 .001563754 6.83912163 .001501175 425 3102 1875 7.42894008 .001440577 8.06354853 .001382963 8.75896381 .001327175 425 3102 1876 9.50718798 .001274135 10.3271054 .001222777 11.2092862 .001173951 425 3102 1877 12.1759957 .001126676 13.2161158 .001081733 14.3558979 .001038219 425 3102 1878 15.5822336 .000996853 16.9260741 .000956805 18.3719641 .000918737 425 3102 1879 19.9563961 .000881884 21.6611477 .000846854 23.5292450 .000812945 425 3102 1880 25.5392030 .000780717 27.7417510 .000749522 30.1115574 .000719876 425 3102 1881 32.7084335 .000691183 35.5025129 .000663918 38.5643150 .000637534 425 3102 1882 41.8586262 .000612465 45.4685912 .000588208 49.3526921 .000565166 425 3102 1883 53.6089592 .000542873 58.1884413 .000521699 63.2067197 .000501219 425 3102 1884 68.6060793 .000481771 74.5227939 .000462964 80.8888158 .000445109 425 3102 1885 87.8648163 .000427848 95.3705647 .000411464 103.595498 .000395630 425 3102 1886 112.445021 .000380607 122.142487 .000366093 132.576365 .000352328 425 3102 1887 144.009995 .000339035 156.311879 .000326433 169.792504 .000314269 425 3102 1888 184.296828 .000302745 200.190926 .000291627 217.292000 .000281101 425 3102 1889 236.031662 .000270953 256.194389 .000261351 278.289065 .000252102 425 3102 1890 302.061581 .000243359 328.111928 .000234944 356.140503 .000226997 425 3102 1891 397.470852 .000216938 443.597616 .000207519 495.077422 .000198711 425 3102 1892 552.531495 .000190484 616.653153 .000182810 688.216173 .000175664 425 3102 1893 768.084130 .000169019 857.220818 .000162852 956.701880 .000157140 425 3102 1894 1067.72779 .000151859 1191.63833 .000146988 1329.92877 .000142505 425 3102 1895 1484.26791 .000138390 1656.51822 .000134622 1900.92378 .000130358 425 3102 1896 2179.74661 .000126587 2501.35019 .000123229 2868.24209 .000120284 425 3102 1897 3291.42749 .000117681 3880.70087 .000114989 4575.47351 .000112702 425 3102 1898 5542.67369 .000110473 6719.38859 .000108631 8369.46298 .000106925 425 3102 1899 10710.8224 .000105409 14093.9463 .000104109 19592.2524 .000102954 425 3102 1900 29584.3919 .000101956 48488.6706 .000101193 96272.2615 .000100601 425 3102 1901 273211.133 .000100212 2788217.50 .000100021 20000000.0 .000100003 425 3102 1902 425 3 0 1903 4.00900E+3 8.93478E+0 0 0 0 0 425 3103 1904 -1.28300E+7-1.28300E+7 0 0 1 195 425 3103 1905 195 2 425 3103 1906 13009949.9 0.0 13323952.4 7.3241E-13 13480953.7 7.4662E-11 425 3103 1907 13490766.3 9.7180E-11 13493219.5 1.0375E-10 13495672.6 1.1075E-10 425 3103 1908 13498125.8 1.1819E-10 13500578.9 1.2612E-10 13503032.1 1.3455E-10 425 3103 1909 13505485.2 1.4352E-10 13509165.0 1.5804E-10 13512844.7 1.7397E-10 425 3103 1910 13516524.4 1.9143E-10 13520204.0 2.1055E-10 13523883.8 2.3148E-10 425 3103 1911 13527563.5 2.5439E-10 13531243.2 2.7945E-10 13534922.9 3.0686E-10 425 3103 1912 13538602.7 3.3681E-10 13542282.4 3.6954E-10 13545962.1 4.0529E-10 425 3103 1913 13549641.8 4.4430E-10 13553321.6 4.8688E-10 13557001.2 5.3332E-10 425 3103 1914 13560680.9 5.8395E-10 13564360.6 6.3913E-10 13568040.4 6.9924E-10 425 3103 1915 13571720.1 7.6469E-10 13575399.8 8.3593E-10 13579079.5 9.1343E-10 425 3103 1916 13582759.3 9.9772E-10 13586439.0 1.08934E-9 13590118.7 1.18890E-9 425 3103 1917 13593798.4 1.29703E-9 13597478.1 1.41443E-9 13601157.8 1.54183E-9 425 3103 1918 13604837.5 1.68004E-9 13608517.2 1.82990E-9 13612197.0 1.99233E-9 425 3103 1919 13615876.7 2.16830E-9 13619556.4 2.35888E-9 13623236.1 2.56518E-9 425 3103 1920 13626915.9 2.78841E-9 13630595.6 3.02986E-9 13634275.3 3.29091E-9 425 3103 1921 13637954.9 3.57302E-9 13641634.7 3.87779E-9 13645314.4 4.20688E-9 425 3103 1922 13648994.1 4.56208E-9 13652673.8 4.94533E-9 13656353.6 5.35866E-9 425 3103 1923 13660033.3 5.80423E-9 13663713.0 6.28438E-9 13667392.7 6.80157E-9 425 3103 1924 13671072.5 7.35844E-9 13674752.2 7.95777E-9 13678431.9 8.60253E-9 425 3103 1925 13682111.6 9.29590E-9 13685791.4 1.00413E-8 13689471.1 1.08421E-8 425 3103 1926 13693150.8 1.17023E-8 13696830.5 1.26257E-8 13700510.3 1.36168E-8 425 3103 1927 13704190.0 1.46800E-8 13707869.7 1.58200E-8 13711549.4 1.70420E-8 425 3103 1928 13715229.1 1.83512E-8 13718908.8 1.97534E-8 13722588.5 2.12546E-8 425 3103 1929 13726268.2 2.28610E-8 13729948.0 2.45795E-8 13733627.7 2.64169E-8 425 3103 1930 13737307.4 2.83807E-8 13740987.1 3.04790E-8 13744666.9 3.27199E-8 425 3103 1931 13748346.6 3.51120E-8 13752026.3 3.76648E-8 13755705.9 4.03876E-8 425 3103 1932 13760612.2 4.43007E-8 13765518.5 4.85602E-8 13770424.8 5.31934E-8 425 3103 1933 13775331.1 5.82297E-8 13780237.4 6.37001E-8 13785143.7 6.96379E-8 425 3103 1934 13790050.0 7.60785E-8 13794956.2 8.30593E-8 13799862.5 9.06208E-8 425 3103 1935 13804768.8 9.88052E-8 13809675.1 1.07658E-7 13814581.4 1.17226E-7 425 3103 1936 13819487.7 1.27561E-7 13824394.0 1.38716E-7 13829300.3 1.50748E-7 425 3103 1937 13834206.6 1.63717E-7 13839112.9 1.77686E-7 13844019.2 1.92721E-7 425 3103 1938 13848925.5 2.08894E-7 13853831.8 2.26278E-7 13858738.1 2.44950E-7 425 3103 1939 13863644.4 2.64994E-7 13868550.7 2.86494E-7 13873456.9 3.09540E-7 425 3103 1940 13878363.2 3.34228E-7 13883269.5 3.60655E-7 13888175.8 3.88926E-7 425 3103 1941 13893082.1 4.19149E-7 13897988.4 4.51436E-7 13902894.7 4.85905E-7 425 3103 1942 13907801.0 5.22679E-7 13912707.2 5.61885E-7 13917613.5 6.03657E-7 425 3103 1943 13922519.8 6.48133E-7 13927426.1 6.95456E-7 13932332.4 7.45775E-7 425 3103 1944 13937238.7 7.99245E-7 13942145.0 8.56025E-7 13947051.3 9.16280E-7 425 3103 1945 13954410.7 1.01355E-6 13961770.1 1.11963E-6 13969129.6 1.23514E-6 425 3103 1946 13976489.0 1.36074E-6 13983848.5 1.49711E-6 13991207.9 1.64496E-6 425 3103 1947 13998567.4 1.80502E-6 14005926.8 1.97806E-6 14013286.3 2.16487E-6 425 3103 1948 14020645.7 2.36625E-6 14028005.1 2.58303E-6 14035364.5 2.81608E-6 425 3103 1949 14042724.0 3.06625E-6 14050083.4 3.33444E-6 14057442.9 3.62155E-6 425 3103 1950 14064802.3 3.92850E-6 14072161.7 4.25621E-6 14079521.1 4.60562E-6 425 3103 1951 14086880.6 4.97768E-6 14094240.0 5.37331E-6 14104052.6 5.93914E-6 425 3103 1952 14113865.1 6.55078E-6 14123677.7 7.21046E-6 14133490.3 7.92034E-6 425 3103 1953 14143302.9 8.68254E-6 14153115.4 9.49910E-6 14162928.0 1.03720E-5 425 3103 1954 14172740.6 1.13032E-5 14182553.2 1.22945E-5 14192365.7 1.33475E-5 425 3103 1955 14202178.3 1.44639E-5 14211990.9 1.56451E-5 14221803.5 1.68923E-5 425 3103 1956 14236522.3 1.88898E-5 14251241.2 2.10420E-5 14265960.0 2.33516E-5 425 3103 1957 14277961.3 2.53526E-5 14289962.5 2.74601E-5 14307964.4 3.08218E-5 425 3103 1958 14325966.3 3.44238E-5 14343968.2 3.82646E-5 14361970.0 4.23416E-5 425 3103 1959 14379971.9 4.66510E-5 14397973.8 5.11886E-5 14421976.3 5.75853E-5 425 3103 1960 14445978.8 6.43669E-5 14469981.3 7.15213E-5 14499984.4 8.09707E-5 425 3103 1961 14529987.5 9.09635E-5 14565991.3 .000103646 14601995.0 .000117054 425 3103 1962 14637998.8 .000131158 14684375.0 .000150297 14735937.5 .000172761 425 3103 1963 14787500.0 .000196334 14856250.0 .000229223 14942187.5 .000272256 425 3103 1964 15028125.0 .000317188 15114062.5 .000364151 15200000.0 .000413411 425 3103 1965 15312500.0 .000481243 15537500.0 .000620646 15650000.0 .000686229 425 3103 1966 15762500.0 .000746371 15875000.0 .000801147 16025000.0 .000867853 425 3103 1967 16175000.0 .000929890 16325000.0 .000987990 16437500.0 .001027456 425 3103 1968 16550000.0 .001061444 16666745.8 .001090114 16783491.6 .001113187 425 3103 1969 17016983.1 .001151191 17870991.6 .001279183 18126974.3 .001311344 425 3103 1970 19630922.8 .001463042 19876974.3 .001484160 20000000.0 .001491603 425 3103 1971 425 3 0 1972 4.00900E+3 8.93478E+0 0 0 0 0 425 3104 1973 -1.46600E+7-1.46600E+7 0 0 1 236 425 3104 1974 236 2 425 3104 1975 14956184.7 0.0 15292333.5 9.9078E-13 15376370.7 1.1031E-11 425 3104 1976 15418389.3 3.4252E-11 15439398.6 5.9291E-11 15449903.3 7.7666E-11 425 3104 1977 15455155.6 8.8792E-11 15457781.8 9.4912E-11 15460407.9 1.0144E-10 425 3104 1978 15463034.1 1.0839E-10 15465660.3 1.1580E-10 15468286.5 1.2369E-10 425 3104 1979 15470912.6 1.3210E-10 15473538.8 1.4105E-10 15476164.9 1.5058E-10 425 3104 1980 15478791.1 1.6073E-10 15481417.2 1.7152E-10 15484043.4 1.8301E-10 425 3104 1981 15486669.6 1.9524E-10 15489295.8 2.0824E-10 15493235.0 2.2931E-10 425 3104 1982 15497174.2 2.5241E-10 15501113.5 2.7772E-10 15505052.7 3.0545E-10 425 3104 1983 15508992.0 3.3581E-10 15512931.2 3.6903E-10 15516870.5 4.0539E-10 425 3104 1984 15520809.7 4.4514E-10 15524748.9 4.8859E-10 15528688.2 5.3607E-10 425 3104 1985 15532627.5 5.8792E-10 15536566.7 6.4454E-10 15540505.9 7.0632E-10 425 3104 1986 15544445.1 7.7371E-10 15548384.4 8.4719E-10 15552323.7 9.2729E-10 425 3104 1987 15556262.9 1.01455E-9 15560202.1 1.10957E-9 15564141.4 1.21302E-9 425 3104 1988 15568080.6 1.32559E-9 15572019.9 1.44803E-9 15575959.1 1.58115E-9 425 3104 1989 15579898.4 1.72583E-9 15583837.6 1.88300E-9 15587776.8 2.05367E-9 425 3104 1990 15591716.1 2.23894E-9 15595655.4 2.43997E-9 15599594.6 2.65799E-9 425 3104 1991 15603533.8 2.89437E-9 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