c ******************* 786 **************************** c Ref: ""Electron-Ion Recombination Rate Coefficients and Photoionization Cross Sections for Astrophysically Abundant Elements. X. Ne VIII and Ne IX for UV and X-ray modeling", Sultana N. Nahar and Anil K. Pradhan, Astrophys. J. Suppl. 162, 417 (2006) c **************************************************** c Ne X : Energies, Oscillator strengths and decay rates for allowed (E1) and forbidden (E2,E3,M1,m2) transitions (1s to 4f) Process: Ne X + h\nu <-> Ne X* Contents of the file (contains both LS and fine structure transitions): --------------------- i) Table 1 - Ion Information and Configuration Set: ii) LS Term Energies (Relative to the ground) iii) Transitions in pure LS coupling - Oscillator Strengths: iv) Fine Structure energies: relativistic(BP): v-a) Same Spin-Multiplicity Dipole allowed E1 (E1d) fine structure transitions v-b) Fine structure intercombination (E1i) transitions vi) Forbidden Electric Octupole E3 & Magnetic Quadrupole M2 transitions: vii) Forbidden Electric Quadrupole E2 & Magnetic Dipole M1 transitions: --------------------------------------------------------------------------- i) Table 1 - Ion Information and Configuration Set: --------------------------------------------------- Ion: nz = 10, nelc = 1 Total No of LS terms= 10 Configuration set: 10 configurations: first**** spectroscopic, rest**** correlation 1s 2s 2p 3s 3p 3d 4s 4p 4d 4f Number of orbitals = 10 Scaling parameters of the orbitals: 1.00000(1s) 1.00000(2s) 1.00000(2p) 1.00000(3s) 0.00000(3p) 1.00000(3d) 1.00000(4s) 1.00000(4p) 1.00000(4d) 1.00000(4f) -------------------------------------------------------------------------- ii) LS Term Energies (Relative to the ground) ---------------------------------------------- i SLP E(Rel,Ry) cfg# 1 2Se 0.000000 1 2 2Po 75.000031 3 3 2Se 75.000038 2 4 2De 88.888924 6 5 2Po 88.888924 5 6 2Se 88.888924 4 7 2Fo 93.750031 10 8 2Po 93.750031 8 9 2Se 93.750038 7 10 2De 93.750298 9 No of first LS terms optimized = 10 -------------------------------------------------------------------------- iii) Transitions in pure LS coupling - Oscillator Strengths: ------------------------------------------------------------ Table Explanation: ------------------ LSi:CFi -> Initial LS term & configuration number as in Table 1 LSf:CFf -> Final LS term & configuration number as in Table 1 fL, fV -> oscillator strengths in length and velocity forms -------------------- Ni LSi:CFi Nf LSf:CFf Ei Ef aji(s-1) fL fV %diff 1 2Se: 1 2 2Po: 3 0.0000 75.0000 6.268E+12 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 5 2Po: 5 0.0000 88.8889 1.673E+12 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 8 2Po: 8 0.0000 93.7500 6.822E+11 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 4 2De: 6 75.0000 88.8889 6.468E+11 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 6 2Se: 4 75.0000 88.8889 6.317E+10 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 9 2Se: 7 75.0000 93.7500 2.579E+10 3.04E-03 3.05E-03 1.6E-01 2 2Po: 3 10 2De: 9 75.0000 93.7503 2.064E+11 1.22E-01 1.22E-01 1.4E-03 3 2Se: 2 5 2Po: 5 75.0000 88.8889 2.246E+11 4.35E-01 4.35E-01 2.3E-03 3 2Se: 2 8 2Po: 8 75.0000 93.7500 9.673E+10 1.03E-01 1.03E-01 9.7E-03 4 2De: 6 7 2Fo:10 88.8889 93.7500 1.379E+11 1.02E+00 1.02E+00 4.7E-06 4 2De: 6 8 2Po: 8 88.8889 93.7500 3.477E+09 1.10E-02 1.10E-02 2.5E-06 5 2Po: 5 9 2Se: 7 88.8889 93.7500 1.836E+10 3.22E-02 3.22E-02 1.9E-06 5 2Po: 5 10 2De: 9 88.8889 93.7503 7.044E+10 6.18E-01 6.18E-01 2.4E-03 6 2Se: 4 8 2Po: 8 88.8889 93.7500 3.067E+10 4.85E-01 4.85E-01 1.0E-03 7 2Fo:10 10 2De: 9 93.7500 93.7503 7.660E-02 1.00E-04 7.14E-06 8.7E+01 8 2Po: 8 10 2De: 9 93.7500 93.7503 8.541E-02 2.50E-04 2.33E-04 3.4E+00 LS transitions: Number of oscillator strengths = 16 ----------------------------------------------------------------------------- iv) Fine Structure energies: relativistic(BP): ----------------------------------------------- ie SLp(cf#) g k*cm E(Ry) 1 2Se( 1) 2 0.0 0.00000E+00 2 2Po( 3) 2 8240352.0 7.50916E+01 3 2Se( 2) 2 8240360.0 7.50917E+01 4 2Po( 3) 4 8244009.0 7.51249E+01 5 2Po( 5) 2 9767431.0 8.90074E+01 6 2Se( 4) 2 9767434.0 8.90074E+01 7 2De( 6) 4 9768511.0 8.90172E+01 8 2Po( 5) 4 9768511.0 8.90172E+01 9 2De( 6) 6 9768871.0 8.90205E+01 10 2Po( 8) 2 10301759.0 9.38765E+01 11 2Se( 7) 2 10301760.0 9.38766E+01 12 2Po( 8) 4 10302212.0 9.38807E+01 13 2De( 9) 4 10302241.0 9.38809E+01 14 2Fo(10) 6 10302364.0 9.38820E+01 15 2De( 9) 6 10302393.0 9.38823E+01 16 2Fo(10) 8 10302440.0 9.38827E+01 ------------------------------------------------------------------------ v-a) Same Spin-Multiplicity Dipole allowed E1 (E1d) fine structure transitions -------------------------------------------------------- Table Explanation: ----------------- SLpCi -> initial symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 SLpCi -> final symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 fij, S, aji -> Oscillator strength fij, line strengh S & transition probability aji for electic dipole E1 same-spin transition ------------------------ Nj Ni SLpCj SLpCi gj gi wl(A) Ej(Ry) Ei(Ry) fij S aji(s-1) 2 1 2Po 3 2Se 1 2 2 12.14 75.09 0.00 1.38E-01 1.104E-02 6.26E+12 4 1 2Po 3 2Se 1 4 2 12.13 75.12 0.00 2.76E-01 -2.205E-02 6.26E+12 4 3 2Po 3 2Se 2 4 2 27403.44 75.12 75.09 1.99E-03 3.597E-01 8.85E+03 5 1 2Po 5 2Se 1 2 2 10.24 89.01 0.00 2.60E-02 1.752E-03 1.65E+12 5 3 2Po 5 2Se 2 2 2 65.48 89.01 75.09 1.44E-01 6.224E-02 2.25E+11 6 2 2Se 4 2Po 3 2 2 65.48 89.01 75.09 1.34E-02 5.773E-03 2.08E+10 6 4 2Se 4 2Po 3 2 4 65.64 89.01 75.12 1.37E-02 1.186E-02 4.25E+10 7 2 2De 6 2Po 3 4 2 65.44 89.02 75.09 6.93E-01 -2.987E-01 5.40E+11 7 4 2De 6 2Po 3 4 4 65.60 89.02 75.12 6.95E-02 6.003E-02 1.08E+11 7 5 2De 6 2Po 5 4 2 92643.05 89.02 89.01 2.21E-03 1.350E+00 8.60E+02 8 1 2Po 5 2Se 1 4 2 10.24 89.02 0.00 5.22E-02 -3.520E-03 1.66E+12 8 3 2Po 5 2Se 2 4 2 65.44 89.02 75.09 2.87E-01 -1.238E-01 2.24E+11 8 6 2Po 5 2Se 4 4 2 92854.55 89.02 89.01 3.53E-03 2.159E+00 1.37E+03 9 4 2De 6 2Po 3 6 4 65.58 89.02 75.12 6.26E-01 -5.401E-01 6.47E+11 9 8 2De 6 2Po 5 6 4 277492.84 89.02 89.02 6.65E-04 2.430E+00 3.84E+01 10 1 2Po 8 2Se 1 2 2 9.71 93.88 0.00 9.34E-03 5.970E-04 6.61E+11 10 3 2Po 8 2Se 2 2 2 48.51 93.88 75.09 3.36E-02 1.075E-02 9.53E+10 10 6 2Po 8 2Se 4 2 2 187.15 93.88 89.01 1.60E-01 1.976E-01 3.05E+10 10 7 2Po 8 2De 6 2 4 187.53 93.88 89.02 9.19E-03 2.270E-02 3.49E+09 11 2 2Se 7 2Po 3 2 2 48.51 93.88 75.09 2.85E-03 9.100E-04 8.08E+09 11 4 2Se 7 2Po 3 2 4 48.60 93.88 75.12 3.01E-03 1.925E-03 1.70E+10 11 5 2Se 7 2Po 5 2 2 187.15 93.88 89.01 3.17E-02 3.901E-02 6.03E+09 11 8 2Se 7 2Po 5 2 4 187.53 93.88 89.02 3.24E-02 8.000E-02 1.23E+10 12 1 2Po 8 2Se 1 4 2 9.71 93.88 0.00 1.89E-02 -1.205E-03 6.67E+11 12 3 2Po 8 2Se 2 4 2 48.50 93.88 75.09 6.74E-02 -2.152E-02 9.55E+10 12 6 2Po 8 2Se 4 4 2 186.99 93.88 89.01 3.19E-01 -3.929E-01 3.04E+10 12 7 2Po 8 2De 6 4 4 187.37 93.88 89.02 1.81E-03 4.469E-03 3.44E+08 12 9 2Po 8 2De 6 4 6 187.50 93.88 89.02 1.10E-02 4.072E-02 3.13E+09 12 11 2Po 8 2Se 7 4 2 221253.58 93.88 93.88 4.95E-03 7.209E+00 3.37E+02 13 2 2De 9 2Po 3 4 2 48.50 93.88 75.09 1.21E-01 -3.864E-02 1.72E+11 13 4 2De 9 2Po 3 4 4 48.59 93.88 75.12 1.21E-02 7.755E-03 3.43E+10 13 5 2De 9 2Po 5 4 2 186.98 93.88 89.01 6.14E-01 -7.556E-01 5.85E+10 13 8 2De 9 2Po 5 4 4 187.36 93.88 89.02 6.17E-02 1.523E-01 1.17E+10 13 10 2De 9 2Po 8 4 2 207421.55 93.88 93.88 4.22E-03 5.768E+00 3.27E+02 14 7 2Fo10 2De 6 6 4 187.32 93.88 89.02 1.02E+00 -2.507E+00 1.29E+11 14 9 2Fo10 2De 6 6 6 187.44 93.88 89.02 4.84E-02 1.793E-01 9.19E+09 14 13 2Fo10 2De 9 6 4 814477.88 93.88 93.88 5.64E-04 6.053E+00 3.78E+00 15 4 2De 9 2Po 3 6 4 48.58 93.88 75.12 1.09E-01 -6.994E-02 2.06E+11 15 8 2De 9 2Po 5 6 4 187.31 93.88 89.02 5.55E-01 -1.369E+00 7.03E+10 15 12 2De 9 2Po 8 6 4 553169.62 93.88 93.88 1.42E-03 1.037E+01 2.07E+01 16 9 2Fo10 2De 6 8 6 187.42 93.88 89.02 9.68E-01 -3.585E+00 1.38E+11 No of non-zero E1 transitions = 41 (I1 = 41) No of E1 transitions including (SD=0)= 41 No of lines in the table = 64 v-b) Fine structure intercombination (E1i) transitions ------------------------------------------------------ Fine structure E1i intercombination transitions in Breit-Pauli approx: Ni Nj SLpCi SLpCj gi gj wl(A) Ei(Ry) Ej(Ry) fij S aji(s-1) Number of intercombination transitions, E1i = 0 ------------------------------------------------------------------------------ vi) Forbidden Electric Octupole E3 & Magnetic Quadrupole M2 transitions: ------------------------------------------------------ Table Explanation: ----------------- SLpCi -> initial symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 SLpCi -> final symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 SE3, AE3 -> line strengh S & transition probability A for electic octupole E3 transition SM2, AM2 -> line strengh S & transition probability A for magnetic quadrupole M2 transition ------------------------ Ni Nj SLpCi SLpCj gi gj wl(A) SE3 AE3 SM2 AM2 s-1 s-1 9 2 2De 6 2Po 3 6 2 65.42 -1.93E-01 1.97E+03 7.64E+00 1.58E+04 10 9 2Po 8 2De 6 2 6 187.66 -3.78E+00 7.25E+01 5.88E-01 1.88E+01 14 1 2Fo10 2Se 1 6 2 9.71 9.84E-07 6.35E+03 0.00E+00 0.00E+00 14 3 2Fo10 2Se 2 6 2 48.50 -1.50E-01 1.25E+04 0.00E+00 0.00E+00 14 6 2Fo10 2Se 4 6 2 186.94 1.72E+01 1.13E+02 0.00E+00 0.00E+00 15 2 2De 9 2Po 3 6 2 48.50 4.91E-05 4.08E+00 9.91E-01 9.18E+03 15 5 2De 9 2Po 5 6 2 186.93 -1.66E+01 1.09E+02 1.93E+01 2.10E+02 16 1 2Fo10 2Se 1 8 2 9.71 -1.31E-06 6.35E+03 0.00E+00 0.00E+00 16 3 2Fo10 2Se 2 8 2 48.49 2.00E-01 1.25E+04 0.00E+00 0.00E+00 16 6 2Fo10 2Se 4 8 2 186.91 -2.30E+01 1.13E+02 0.00E+00 0.00E+00 16 7 2Fo10 2De 6 8 4 187.29 -6.25E+00 3.04E+01 6.11E+01 4.94E+02 No of non-zero M2/E3 transitions = 11 Total number of M2/E3 transitions = 16 ---------------------------------------------------------------------------- vii) Forbidden Electric Quadrupole E2 & Magnetic Dipole M1 transitions: ----------------------------------------------------- Table Explanation: ----------------- SLpCi -> initial symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 SLpCi -> final symmetry (2S+1)Lpi(parity) & configuration number as in Table 1 SE2, AE2 -> line strengh S & transition probability A for electric quadrupole E2 transition SM1, AM1 -> line strengh S & transition probability A for magnetic dipole M1 transition ------------------------ Ni Nj SLpCi SLpCj gi gj wl SE2 AE2 SM1 AM1 A s-1 s-1 3 1 2Se 1 2Se 2 2 2 12.14 0.00E+00 0.00E+00 -3.33E-06 2.52E+04 4 2 2Po 3 2Po 3 2 4 27341.24 -4.78E-02 1.31E-06 -1.33E+00 4.40E-01 5 2 2Po 3 2Po 5 2 2 65.48 0.00E+00 0.00E+00 -1.02E-07 4.91E+00 5 4 2Po 3 2Po 5 4 2 65.64 -3.47E-02 2.39E+07 -2.96E-06 1.41E+02 6 1 2Se 1 2Se 4 2 2 10.24 0.00E+00 0.00E+00 -9.07E-07 1.14E+04 6 3 2Se 2 2Se 4 2 2 65.48 0.00E+00 0.00E+00 -3.91E-07 1.88E+01 7 1 2Se 1 2De 6 2 4 10.24 -1.61E-04 6.01E+08 3.03E-08 1.90E+02 7 3 2Se 2 2De 6 2 4 65.44 1.47E-01 5.13E+07 -8.48E-08 2.04E+00 8 2 2Po 3 2Po 5 2 4 65.44 3.41E-02 1.19E+07 -1.23E-06 2.95E+01 8 4 2Po 3 2Po 5 4 4 65.60 3.45E-02 1.19E+07 -1.48E-06 3.54E+01 8 5 2Po 5 2Po 5 2 4 92597.62 -1.72E+00 1.06E-07 -1.33E+00 1.13E-02 9 1 2Se 1 2De 6 2 6 10.24 2.41E-04 6.01E+08 0.00E+00 0.00E+00 9 3 2Se 2 2De 6 2 6 65.42 -2.20E-01 5.14E+07 0.00E+00 0.00E+00 9 7 2De 6 2De 6 4 6 277085.66 -3.62E-01 6.21E-11 -2.40E+00 5.07E-04 10 2 2Po 3 2Po 8 2 2 48.51 0.00E+00 0.00E+00 -3.20E-08 3.78E+00 10 4 2Po 3 2Po 8 4 2 48.60 -3.23E-03 1.00E+07 -7.14E-07 8.38E+01 10 5 2Po 5 2Po 8 2 2 187.15 0.00E+00 0.00E+00 -3.09E-08 6.37E-02 10 8 2Po 5 2Po 8 4 2 187.53 -7.02E-01 2.54E+06 -2.70E-06 5.51E+00 11 1 2Se 1 2Se 7 2 2 9.71 0.00E+00 0.00E+00 -4.36E-07 6.43E+03 11 3 2Se 2 2Se 7 2 2 48.51 0.00E+00 0.00E+00 -1.40E-07 1.65E+01 11 6 2Se 4 2Se 7 2 2 187.15 0.00E+00 0.00E+00 -9.84E-08 2.03E-01 11 7 2De 6 2Se 7 4 2 187.53 -1.13E-01 4.09E+05 -1.19E-11 2.43E-05 11 9 2De 6 2Se 7 6 2 187.66 -1.71E-01 6.16E+05 0.00E+00 0.00E+00 12 2 2Po 3 2Po 8 2 4 48.50 3.07E-03 4.80E+06 -2.42E-07 1.43E+01 12 4 2Po 3 2Po 8 4 4 48.59 3.24E-03 5.02E+06 -4.75E-07 2.79E+01 12 5 2Po 5 2Po 8 2 4 186.99 6.90E-01 1.27E+06 -1.77E-06 1.82E+00 12 8 2Po 5 2Po 8 4 4 187.37 6.99E-01 1.27E+06 -4.50E-07 4.61E-01 12 10 2Po 8 2Po 8 2 4 220578.27 -1.92E+01 1.55E-08 -1.33E+00 8.38E-04 13 1 2Se 1 2De 9 2 4 9.71 -7.52E-05 3.66E+08 1.45E-08 1.07E+02 13 3 2Se 2 2De 9 2 4 48.50 3.20E-03 5.01E+06 -2.26E-08 1.34E+00 13 6 2Se 4 2De 9 2 4 186.98 2.05E+00 3.77E+06 -8.35E-09 8.61E-03 13 7 2De 6 2De 9 4 4 187.36 4.57E-01 8.31E+05 -1.78E-07 1.82E-01 13 9 2De 6 2De 9 6 4 187.49 -1.97E-01 3.56E+05 -5.80E-07 5.94E-01 14 2 2Po 3 2Fo10 2 6 48.50 4.63E-02 4.83E+07 0.00E+00 0.00E+00 14 4 2Po 3 2Fo10 4 6 48.58 -1.33E-02 1.38E+07 2.34E-08 9.16E-01 14 5 2Po 5 2Fo10 2 6 186.94 -3.70E+00 4.53E+06 0.00E+00 0.00E+00 14 8 2Po 5 2Fo10 4 6 187.32 1.06E+00 1.29E+06 -3.52E-08 2.41E-02 15 1 2Se 1 2De 9 2 6 9.71 1.13E-04 3.67E+08 0.00E+00 0.00E+00 15 3 2Se 2 2De 9 2 6 48.50 -4.82E-03 5.04E+06 0.00E+00 0.00E+00 15 6 2Se 4 2De 9 2 6 186.93 -3.08E+00 3.77E+06 0.00E+00 0.00E+00 15 7 2De 6 2De 9 4 6 187.31 1.96E-01 2.38E+05 -1.80E-07 1.23E-01 15 9 2De 6 2De 9 6 6 187.43 7.86E-01 9.51E+05 -8.89E-07 6.07E-01 15 13 2De 9 2De 9 4 6 657807.44 -5.80E+00 1.32E-11 -2.40E+00 3.79E-05 16 4 2Po 3 2Fo10 4 8 48.58 7.97E-02 6.19E+07 0.00E+00 0.00E+00 16 8 2Po 5 2Fo10 4 8 187.29 -6.36E+00 5.80E+06 0.00E+00 0.00E+00 Number of E2,M1 transitions = 45 Total number of transitions (including non-spectroscopic) = 52 NT= total number of forbidden (E2,M1,E3,M2) transitions = 45 + 11 = 56 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 41 + 56 = 97