22-Ti 2025 Evaluated Electron Data Library (EEDL) by D.E. Cullen2023 0 0 22000.0000 47.4885026 -1 0 0 02200 1451 0.0 0.0 0 0 0 62200 1451 5.438673E-4 1.0000E+11 0 0 113 62200 1451 0.0 0.0 0 0 161 302200 1451 22-Ti- 0 NDS,IAEA Eval-Aug23 D.E.Cullen 2200 1451 NDS-IAEA-226 Dist-Jan25 2200 1451 ----ENDF/B-VI MATERIAL 2200 2200 1451 -----ELECTRO-ATOMIC DATA 2200 1451 ------ENDF-6 FORMAT 2200 1451 ==================================================================2200 1451 The Livermore Evaluated Electron Data Library (EEDL) in the 2200 1451 ENDF-6 Format. Translated from the Livermore ENDL format 2200 1451 to the ENDF-6 Format. 2200 1451 ==================================================================2200 1451 Contents 2200 1451 ==================================================================2200 1451 MF/MT Description 2200 1451 ==================================================================2200 1451 23/501 Total Electron Cross Sections 2200 1451 23/522 Ionization (sum of subshells) 2200 1451 23/525 Large Angle Elastic Scattering Cross Section 2200 1451 23/526 Elastic Scatter (Total) Cross Sections 2200 1451 23/527 Bremsstrahlung Cross Sections 2200 1451 23/528 Excitation Cross Sections 2200 1451 23/534 K (1S1/2) Electroionization Subshell Cross Sections 2200 1451 23/535 L1 (2s1/2) Electroionization Subshell Cross Sections 2200 1451 23/536 L2 (2p1/2) Electroionization Subshell Cross Sections 2200 1451 23/537 L3 (2p3/2) Electroionization Subshell Cross Sections 2200 1451 23/538 M1 (3s1/2) Electroionization Subshell Cross Sections 2200 1451 23/539 M2 (3p1/2) Electroionization Subshell Cross Sections 2200 1451 23/540 M3 (3p3/2) Electroionization Subshell Cross Sections 2200 1451 23/541 M4 (3d3/2) Electroionization Subshell Cross Sections 2200 1451 23/542 M5 (3d5/2) Electroionization Subshell Cross Sections 2200 1451 23/543 N1 (4s1/2) Electroionization Subshell Cross Sections 2200 1451 ==================================================================2200 1451 26/525 Large Angle Elastic Angular Distributions 2200 1451 26/527 Bremsstrahlung Photon Energy Spectra and 2200 1451 Electron Average Energy Loss 2200 1451 26/528 Excitation Electron Average Energy Loss 2200 1451 26/534 K (1S1/2) Electroionization Subshell Energy Spectra 2200 1451 26/535 L1 (2s1/2) Electroionization Subshell Energy Spectra 2200 1451 26/536 L2 (2p1/2) Electroionization Subshell Energy Spectra 2200 1451 26/537 L3 (2p3/2) Electroionization Subshell Energy Spectra 2200 1451 26/538 M1 (3s1/2) Electroionization Subshell Energy Spectra 2200 1451 26/539 M2 (3p1/2) Electroionization Subshell Energy Spectra 2200 1451 26/540 M3 (3p3/2) Electroionization Subshell Energy Spectra 2200 1451 26/541 M4 (3d3/2) Electroionization Subshell Energy Spectra 2200 1451 26/542 M5 (3d5/2) Electroionization Subshell Energy Spectra 2200 1451 26/543 N1 (4s1/2) Electroionization Subshell Energy Spectra 2200 1451 ==================================================================2200 1451 Warning 2200 1451 ==================================================================2200 1451 MF/MT combinations used to define ALL electron interaction data 2200 1451 are newly defined MF/MT numbers for ENDF/B-VI that did not exist2200 1451 in earlier versions of ENDF/B. 2200 1451 ==================================================================2200 1451 Definition of Data 2200 1451 ==================================================================2200 1451 Cross Sections (MF=23) 2200 1451 ==================================================================2200 1451 1) The total electron interaction cross section is given 2200 1451 explicitly as MF/MT=23/501. It is the sum of scatter, 2200 1451 bremsstrahlung, excitation and ionization cross sections, 2200 1451 i.e., MT = 526, 527, 528, and 534 through 572. 2200 1451 2) The total electron ionization cross section is given 2200 1451 explicitly as MF/MT=23/522. It is the sum of the aubshell 2200 1451 cross sections, i.e., all MT = 534 through 572. 2200 1451 ==================================================================2200 1451 Angular and Energy Distributions (MF=26) 2200 1451 ==================================================================2200 1451 3) For Large Angle Scatter (MT=525), angular distributions of 2200 1451 electrons are tabulated between cosine = -1.0 and 0.999999. 2200 1451 Between +0.99999 and +1.0 it is analytically defined as 2200 1451 Coulomb scattering, 2200 1451 2200 1451 d(sig)/d(cos) = A/[eta+(1.0 - cos)]^2 2200 1451 2200 1451 where the shielding parameter (eta) is defined by the 2200 1451 Steve Seltzer expression (see, ref. 1), and (A) is the 2200 1451 normalization factor for the integral +0.99999 to +1.0. 2200 1451 Electron elastic scatter means no energy loss, so only 2200 1451 angular distributions are giving. 2200 1451 4) For bremsstrahlung, both the outgoing electron and photon are 2200 1451 described. The photon energy spectra are given, but angular 2200 1451 distributions are not; these can be analytically defined by a 2200 1451 number of different methods. For the electron, average energy 2200 1451 loss is given. The electron is assumed to continue along its 2200 1451 original direction of travel, so angular distributions are not 2200 1451 given. WARNING - bremsstrahlung is a three body process, 2200 1451 involving an electron, a photon, and an atom - so that you 2200 1451 cannot use energy or momentum correlation to simply relate 2200 1451 the secondary electron and the emitted photon. 2200 1451 5) For excitation, the average energy loss of the electron is 2200 1451 given. The electron is assumed to continue along its original 2200 1451 direction of travel, so angular distributions are not given. 2200 1451 6) For Ionization, the spectra of electrons is given. The electron2200 1451 is assumed to continue along its original direction of travel, 2200 1451 so angular distributions are not given. In ionization two 2200 1451 identical electrons emerge; the incident electron, and an 2200 1451 electron ejected by the atom [thereby ionizing the atom]. Since2200 1451 the two particles are indistinquishable, we define the electron2200 1451 with the lower energy to be that ejected by the atom, and the 2200 1451 electron with the higher energy to be the incident electron. 2200 1451 The energy of the two electrons is exactly correlated by energy2200 1451 conservation: initial incident electron energy = binding energy2200 1451 of the ejected electron, plus the kinetic energy of the ejected2200 1451 and the secondary incident electron. Therefore only the spectra2200 1451 of the lower energy, ejected electron is given. The energy of 2200 1451 the secondary incident electron should be defined to conserve 2200 1451 energy, as described above. The energy lost by the incident 2200 1451 electron is the sum of the binding and kinetic energy of the 2200 1451 ejected electron. 2200 1451 7) Relaxation of ionized atoms back to neutrality is not described2200 1451 here; it is described in the companion Evaluated Atomic Data 2200 1451 Library (EADL). 2200 1451 ==================================================================2200 1451 References 2200 1451 ==================================================================2200 1451 1) S.T. Perkins, D.E. Cullen, and S.M. Seltzer, "Tables and 2200 1451 Graphs of Electron-Interaction Cross Sections from 10 eV to 2200 1451 100 GeV Derived from the LLNL Evaluated Electron Data 2200 1451 Library (EEDL), Z = 1-100, UCRL-50400, Vol. 31, Lawrence 2200 1451 Livermore National Laboratory (1991). 2200 1451 2) D.E. Cullen "PROGRAM EPICSHOW: A Computer Code to Allow 2200 1451 Interactive Viewing of the EPIC Data Libraries" (Version 2200 1451 2000-1), UCRL-id-1264455, Rev. 3, Part 4, Lawrence Livermore 2200 1451 National Laboratory (2000). 2200 1451 3) D.E. Cullen "A Survey of Atomic Binding Energies for use 2200 1451 in EPICS2017" ,IAEA-NDS-224, (2017), Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria 2200 1451 4) D.E. Cullen "A Survey of Photon Cross Section Data for use 2200 1451 in EPICS2017" ,IAEA-NDS-225, (2017), Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria 2200 1451 5) D.E. Cullen "A Survey of Electron Cross Section Data for 2200 1451 use in EPICS2017" ,IAEA-NDS-226, (2017), Nuclear Data 2200 1451 Section, IAEA, Vienna, Austria 2200 1451 6) D.E. Cullen,"EPICS2017: April 2019 Status Report", 2200 1451 IAEA-NDS-228, April 2019, Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria. 2200 1451 7) D.E. Cullen,"EPICS2023: August 2023 Status Report", 2200 1451 IAEA-NDS-242, August 2023, Nuclear Data Section, 2200 1451 IAEA, Vienna, Austria. 2200 1451 2200 1451 These are the primary references to the contents of this library2200 1451 and they contain a complete list of references to the sources 2200 1451 of data used in this library, methods of evaluation, accuracy 2200 1451 of the data, etc. 2200 1451 ==================================================================2200 1451 History 2200 1451 ==================================================================2200 1451 1) Nov. 1991 - Initial Release in the ENDL format 2200 1451 2) Nov. 2001 - Initial Release in the ENDF-6 format 2200 1451 3) Sept. 2014 - Insure Standard C, C++, FORTRAN format 2200 1451 4) - Corrected MF/MT=26/527 Electron Energy Loss 2200 1451 5) - Updated based on recently published data 2200 1451 6) Nov. 2017 - New Binding Energies (see, ref. 3) 2200 1451 - New Ionization Subshell Cross Sections 2200 1451 - New Total Scatter (MF/MT=23/526) 2200 1451 - New Large Angle Scatter (MF/MT=23/525.26/525) 2200 1451 - New Total (MT=501) and Ionization (MT=522) 2200 1451 - ALL Cross Sections Lin-Lin Interpolable 2200 1451 7) Aug. 2023 - MF/MT=26/527 Set ZAP=0 (photon),not 11 (electron)2200 1451 ==================================================================2200 1451 ***************** Program FIXUP (Version 2023-2) ****************2200 1451 **************** Program DICTIN (VERSION 2023-1) ****************2200 1451 1 451 195 02200 1451 23 501 155 12200 1451 23 522 51 12200 1451 23 525 37 12200 1451 23 526 37 02200 1451 23 527 28 02200 1451 23 528 72 02200 1451 23 534 11 02200 1451 23 535 11 02200 1451 23 536 12 02200 1451 23 537 12 02200 1451 23 538 12 02200 1451 23 539 13 02200 1451 23 540 13 02200 1451 23 541 15 02200 1451 23 542 15 02200 1451 23 543 15 02200 1451 26 525 346 12200 1451 26 527 219 02200 1451 26 528 75 02200 1451 26 534 90 02200 1451 26 535 120 02200 1451 26 536 123 02200 1451 26 537 126 02200 1451 26 538 121 02200 1451 26 539 143 02200 1451 26 540 146 02200 1451 26 541 151 02200 1451 26 542 151 02200 1451 26 543 148 02200 1451 2200 1 0 2200 0 0 22000.0000 47.4885026 0 0 0 0220023501 0.0 0.0 0 0 1 454220023501 454 2 220023501 6.82000000 0.0 6.84928748 1310480.00 7.07774373 11087400.0220023501 7.50608185 27637200.0 8.00000000 43969613.2 8.25567108 55864943.8220023501 8.40457886 61899512.7 8.41687983 62392482.1 9.01144716 85796484.3220023501 9.04219957 86992726.1 9.38006484 99888074.5 9.61831545 107782296.220023501 9.66751932 109383336. 10.0000000 3.85107E+9 10.5044586 3.77494E+9220023501 10.6250000 3.75573E+9 10.9196019 3.70912E+9 10.9679835 3.70143E+9220023501 11.2500000 3.65638E+9 11.7190000 3.58135E+9 12.2209889 3.50162E+9220023501 12.2685481 3.49403E+9 12.5893000 3.44259E+9 13.1250000 3.38918E+9220023501 13.3590000 3.36582E+9 15.0000000 3.20281E+9 15.4974243 3.15327E+9220023501 15.5429131 3.14870E+9 15.8489000 3.11746E+9 16.2974774 3.09037E+9220023501 17.5000000 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2.00132E+9 57.2661454 1.99765E+9220023501 60.0000000 1.96313E+9 62.9882483 1.92057E+9 63.0037274 1.92035E+9220023501 63.0957000 1.91899E+9 64.0000000 1.90957E+9 65.0000000 1.89919E+9220023501 65.9765470 1.88899E+9 66.3498703 1.88509E+9 66.6308983 1.88214E+9220023501 68.6100000 1.86138E+9 69.6825096 1.85010E+9 70.0340000 1.84640E+9220023501 72.5000000 1.81764E+9 72.5250000 1.81736E+9 76.1679693 1.77456E+9220023501 76.2630000 1.77345E+9 79.4328000 1.73627E+9 80.0000000 1.73132E+9220023501 80.4112101 1.72778E+9 80.6779768 1.72548E+9 85.8961589 1.68042E+9220023501 89.1610000 1.65221E+9 90.0000000 1.64496E+9 94.4725499 1.60304E+9220023501 94.7250554 1.60066E+9 95.6243486 1.59219E+9 100.000000 1.55092E+9220023501 112.500000 1.46940E+9 125.000000 1.38554E+9 125.893000 1.37959E+9220023501 131.250000 1.35146E+9 150.000000 1.25467E+9 153.900815 1.23521E+9220023501 154.093048 1.23424E+9 154.550010 1.23194E+9 158.489000 1.21203E+9220023501 175.000000 1.15027E+9 184.884000 1.11419E+9 199.526000 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