c ******************* 786 **************************** c Ref: "Electron-Ion Recombination Rate Coefficients and Photoionization Cross Sections for Astrophysically Abundant Elements. XI. N V-VI and F VII-VIII for UV and X-ray modeling", Sultana N. Nahar, Astrophys. J. Suppl. 164, 280 (2006) c **************************************************** c F IX : Energies, Oscillator strengths and decay rates for allowed (E1) and forbidden (E2,E3,M1,m2) transitions (1s to 4f) Process: F IX + h\nu <-> F IX* 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 = 9, 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 60.750023 3 3 2Se 60.750042 2 4 2De 72.000023 6 5 2Po 72.000023 5 6 2Se 72.000023 4 7 2Fo 75.937523 10 8 2Po 75.937523 8 9 2Se 75.937523 7 10 2De 75.937538 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 60.7500 4.112E+12 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 5 2Po: 5 0.0000 72.0000 1.098E+12 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 8 2Po: 8 0.0000 75.9375 4.476E+11 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 4 2De: 6 60.7500 72.0000 4.244E+11 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 6 2Se: 4 60.7500 72.0000 4.144E+10 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 9 2Se: 7 60.7500 75.9375 1.692E+10 3.04E-03 3.05E-03 1.6E-01 2 2Po: 3 10 2De: 9 60.7500 75.9375 1.354E+11 1.22E-01 1.22E-01 1.0E-06 3 2Se: 2 5 2Po: 5 60.7500 72.0000 1.474E+11 4.35E-01 4.35E-01 1.1E-03 3 2Se: 2 8 2Po: 8 60.7500 75.9375 6.346E+10 1.03E-01 1.03E-01 4.9E-03 4 2De: 6 7 2Fo:10 72.0000 75.9375 9.051E+10 1.02E+00 1.02E+00 4.7E-06 4 2De: 6 8 2Po: 8 72.0000 75.9375 2.281E+09 1.10E-02 1.10E-02 2.5E-06 5 2Po: 5 9 2Se: 7 72.0000 75.9375 1.205E+10 3.22E-02 3.22E-02 1.9E-06 5 2Po: 5 10 2De: 9 72.0000 75.9375 4.620E+10 6.18E-01 6.18E-01 5.4E-04 6 2Se: 4 8 2Po: 8 72.0000 75.9375 2.012E+10 4.85E-01 4.85E-01 1.0E-03 LS transitions: Number of oscillator strengths = 14 ----------------------------------------------------------------------------- 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 6673137.0 6.08101E+01 3 2Se( 2) 2 6673143.0 6.08102E+01 4 2Po( 3) 4 6675536.0 6.08320E+01 5 2Po( 5) 2 7909616.0 7.20777E+01 6 2Se( 4) 2 7909618.0 7.20777E+01 7 2De( 6) 4 7910325.0 7.20842E+01 8 2Po( 5) 4 7910325.0 7.20842E+01 9 2De( 6) 6 7910562.0 7.20863E+01 10 2Po( 8) 2 8342286.0 7.60205E+01 11 2Se( 7) 2 8342287.0 7.60205E+01 12 2Po( 8) 4 8342584.0 7.60232E+01 13 2De( 9) 4 8342585.0 7.60232E+01 14 2Fo(10) 6 8342683.0 7.60241E+01 15 2De( 9) 6 8342685.0 7.60241E+01 16 2Fo(10) 8 8342733.0 7.60246E+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 14.99 60.81 0.00 1.38E-01 1.364E-02 4.11E+12 4 1 2Po 3 2Se 1 4 2 14.98 60.83 0.00 2.76E-01 -2.725E-02 4.11E+12 4 3 2Po 3 2Se 2 4 2 41793.00 60.83 60.81 1.61E-03 4.441E-01 3.08E+03 5 1 2Po 5 2Se 1 2 2 12.64 72.08 0.00 2.61E-02 2.169E-03 1.09E+12 5 3 2Po 5 2Se 2 2 2 80.88 72.08 60.81 1.44E-01 7.692E-02 1.47E+11 6 2 2Se 4 2Po 3 2 2 80.87 72.08 60.81 1.34E-02 7.150E-03 1.37E+10 6 4 2Se 4 2Po 3 2 4 81.03 72.08 60.83 1.37E-02 1.461E-02 2.78E+10 7 2 2De 6 2Po 3 4 2 80.83 72.08 60.81 6.93E-01 -3.692E-01 3.54E+11 7 4 2De 6 2Po 3 4 4 80.99 72.08 60.83 6.95E-02 7.413E-02 7.07E+10 7 5 2De 6 2Po 5 4 2 141147.30 72.08 72.08 1.79E-03 1.667E+00 3.00E+02 8 1 2Po 5 2Se 1 4 2 12.64 72.08 0.00 5.23E-02 -4.355E-03 1.09E+12 8 3 2Po 5 2Se 2 4 2 80.83 72.08 60.81 2.88E-01 -1.532E-01 1.47E+11 8 6 2Po 5 2Se 4 4 2 141406.47 72.08 72.08 2.86E-03 2.666E+00 4.78E+02 9 4 2De 6 2Po 3 6 4 80.97 72.09 60.83 6.26E-01 -6.671E-01 4.24E+11 9 8 2De 6 2Po 5 6 4 422973.84 72.09 72.08 5.39E-04 3.000E+00 1.34E+01 10 1 2Po 8 2Se 1 2 2 11.99 76.02 0.00 9.40E-03 7.420E-04 4.36E+11 10 3 2Po 8 2Se 2 2 2 59.91 76.02 60.81 3.38E-02 1.332E-02 6.27E+10 10 6 2Po 8 2Se 4 2 2 231.12 76.02 72.08 1.61E-01 2.444E-01 2.00E+10 10 7 2Po 8 2De 6 2 4 231.50 76.02 72.08 9.19E-03 2.800E-02 2.29E+09 11 2 2Se 7 2Po 3 2 2 59.91 76.02 60.81 2.89E-03 1.138E-03 5.36E+09 11 4 2Se 7 2Po 3 2 4 60.00 76.02 60.83 3.01E-03 2.382E-03 1.12E+10 11 5 2Se 7 2Po 5 2 2 231.12 76.02 72.08 3.18E-02 4.835E-02 3.97E+09 11 8 2Se 7 2Po 5 2 4 231.50 76.02 72.08 3.24E-02 9.868E-02 8.06E+09 12 1 2Po 8 2Se 1 4 2 11.99 76.02 0.00 1.89E-02 -1.495E-03 4.40E+11 12 3 2Po 8 2Se 2 4 2 59.90 76.02 60.81 6.76E-02 -2.666E-02 6.28E+10 12 6 2Po 8 2Se 4 4 2 230.97 76.02 72.08 3.20E-01 -4.865E-01 2.00E+10 12 7 2Po 8 2De 6 4 4 231.34 76.02 72.08 1.81E-03 5.529E-03 2.26E+08 12 9 2Po 8 2De 6 4 6 231.47 76.02 72.09 1.10E-02 5.026E-02 2.05E+09 12 11 2Po 8 2Se 7 4 2 336645.16 76.02 76.02 4.01E-03 8.898E+00 1.18E+02 13 2 2De 9 2Po 3 4 2 59.90 76.02 60.81 1.21E-01 -4.778E-02 1.13E+11 13 4 2De 9 2Po 3 4 4 59.99 76.02 60.83 1.21E-02 9.581E-03 2.25E+10 13 5 2De 9 2Po 5 4 2 230.96 76.02 72.08 6.14E-01 -9.345E-01 3.84E+10 13 8 2De 9 2Po 5 4 4 231.34 76.02 72.08 6.17E-02 1.881E-01 7.69E+09 13 10 2De 9 2Po 8 4 2 334554.12 76.02 76.02 3.23E-03 7.121E+00 9.63E+01 14 7 2Fo10 2De 6 6 4 231.29 76.02 72.08 1.02E+00 -3.096E+00 8.45E+10 14 9 2Fo10 2De 6 6 6 231.42 76.02 72.09 4.84E-02 2.213E-01 6.03E+09 15 4 2De 9 2Po 3 6 4 59.98 76.02 60.83 1.09E-01 -8.638E-02 1.35E+11 15 8 2De 9 2Po 5 6 4 231.29 76.02 72.08 5.55E-01 -1.691E+00 4.62E+10 16 9 2Fo10 2De 6 8 6 231.39 76.02 72.09 9.68E-01 -4.427E+00 9.05E+10 No of non-zero E1 transitions = 39 (I1 = 39) No of E1 transitions including (SD=0)= 39 No of lines in the table = 62 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 80.81 -3.64E-01 8.48E+02 9.45E+00 6.81E+03 10 9 2Po 8 2De 6 2 6 231.63 -7.11E+00 3.13E+01 7.24E-01 8.09E+00 14 1 2Fo10 2Se 1 6 2 11.99 2.81E-06 4.14E+03 0.00E+00 0.00E+00 14 3 2Fo10 2Se 2 6 2 59.90 -2.82E-01 5.35E+03 0.00E+00 0.00E+00 14 6 2Fo10 2Se 4 6 2 230.91 3.24E+01 4.86E+01 0.00E+00 0.00E+00 15 2 2De 9 2Po 3 6 2 59.90 6.06E-05 1.15E+00 1.23E+00 3.95E+03 15 5 2De 9 2Po 5 6 2 230.91 -3.13E+01 4.69E+01 2.39E+01 9.05E+01 16 1 2Fo10 2Se 1 8 2 11.99 -3.75E-06 4.14E+03 0.00E+00 0.00E+00 16 3 2Fo10 2Se 2 8 2 59.89 3.76E-01 5.35E+03 0.00E+00 0.00E+00 16 6 2Fo10 2Se 4 8 2 230.89 -4.33E+01 4.86E+01 0.00E+00 0.00E+00 16 7 2Fo10 2De 6 8 4 231.26 -1.18E+01 1.31E+01 7.55E+01 2.13E+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 14.99 0.00E+00 0.00E+00 -2.19E-06 8.76E+03 4 2 2Po 3 2Po 3 2 4 41683.91 -7.29E-02 2.43E-07 -1.33E+00 1.24E-01 5 2 2Po 3 2Po 5 2 2 80.87 0.00E+00 0.00E+00 -6.72E-08 1.71E+00 5 4 2Po 3 2Po 5 4 2 81.03 -5.28E-02 1.27E+07 -1.94E-06 4.92E+01 6 1 2Se 1 2Se 4 2 2 12.64 0.00E+00 0.00E+00 -5.92E-07 3.95E+03 6 3 2Se 2 2Se 4 2 2 80.88 0.00E+00 0.00E+00 -2.57E-07 6.55E+00 7 1 2Se 1 2De 6 2 4 12.64 -2.45E-04 3.19E+08 1.99E-08 6.65E+01 7 3 2Se 2 2De 6 2 4 80.83 2.24E-01 2.72E+07 -5.56E-08 7.10E-01 8 2 2Po 3 2Po 5 2 4 80.83 5.21E-02 6.35E+06 -8.06E-07 1.03E+01 8 4 2Po 3 2Po 5 4 4 80.99 5.27E-02 6.35E+06 -9.72E-07 1.23E+01 8 5 2Po 5 2Po 5 2 4 141079.33 -2.63E+00 1.97E-08 -1.33E+00 3.20E-03 9 1 2Se 1 2De 6 2 6 12.64 3.68E-04 3.19E+08 0.00E+00 0.00E+00 9 3 2Se 2 2De 6 2 6 80.81 -3.36E-01 2.73E+07 0.00E+00 0.00E+00 9 7 2De 6 2De 6 4 6 422364.12 -5.53E-01 1.15E-11 -2.40E+00 1.43E-04 10 2 2Po 3 2Po 8 2 2 59.91 0.00E+00 0.00E+00 -2.11E-08 1.32E+00 10 4 2Po 3 2Po 8 4 2 60.00 -4.95E-03 5.34E+06 -4.69E-07 2.93E+01 10 5 2Po 5 2Po 8 2 2 231.12 0.00E+00 0.00E+00 -2.04E-08 2.22E-02 10 8 2Po 5 2Po 8 4 2 231.50 -1.07E+00 1.35E+06 -1.77E-06 1.93E+00 11 1 2Se 1 2Se 7 2 2 11.99 0.00E+00 0.00E+00 -2.76E-07 2.16E+03 11 3 2Se 2 2Se 7 2 2 59.91 0.00E+00 0.00E+00 -9.15E-08 5.74E+00 11 6 2Se 4 2Se 7 2 2 231.12 0.00E+00 0.00E+00 -6.48E-08 7.07E-02 11 7 2De 6 2Se 7 4 2 231.50 -1.72E-01 2.18E+05 -7.68E-12 8.34E-06 11 9 2De 6 2Se 7 6 2 231.63 -2.60E-01 3.28E+05 0.00E+00 0.00E+00 12 2 2Po 3 2Po 8 2 4 59.90 4.75E-03 2.59E+06 -1.59E-07 4.99E+00 12 4 2Po 3 2Po 8 4 4 59.99 4.96E-03 2.68E+06 -3.11E-07 9.72E+00 12 5 2Po 5 2Po 8 2 4 230.96 1.05E+00 6.74E+05 -1.16E-06 6.36E-01 12 8 2Po 5 2Po 8 4 4 231.34 1.07E+00 6.76E+05 -2.95E-07 1.61E-01 12 10 2Po 8 2Po 8 2 4 335752.25 -2.93E+01 2.88E-09 -1.33E+00 2.38E-04 13 1 2Se 1 2De 9 2 4 11.99 -1.12E-04 1.91E+08 9.77E-09 3.82E+01 13 3 2Se 2 2De 9 2 4 59.90 4.91E-03 2.68E+06 -1.48E-08 4.64E-01 13 6 2Se 4 2De 9 2 4 230.96 3.13E+00 2.00E+06 -5.48E-09 3.00E-03 13 7 2De 6 2De 9 4 4 231.34 6.97E-01 4.42E+05 -1.17E-07 6.36E-02 13 9 2De 6 2De 9 6 4 231.47 -3.00E-01 1.89E+05 -3.81E-07 2.07E-01 14 2 2Po 3 2Fo10 2 6 59.90 7.07E-02 2.57E+07 0.00E+00 0.00E+00 14 4 2Po 3 2Fo10 4 6 59.98 -2.03E-02 7.30E+06 1.53E-08 3.20E-01 14 5 2Po 5 2Fo10 2 6 230.91 -5.64E+00 2.41E+06 0.00E+00 0.00E+00 14 8 2Po 5 2Fo10 4 6 231.29 1.62E+00 6.84E+05 -2.31E-08 8.39E-03 15 1 2Se 1 2De 9 2 6 11.99 1.69E-04 1.91E+08 0.00E+00 0.00E+00 15 3 2Se 2 2De 9 2 6 59.90 -7.40E-03 2.69E+06 0.00E+00 0.00E+00 15 6 2Se 4 2De 9 2 6 230.91 -4.70E+00 2.00E+06 0.00E+00 0.00E+00 15 7 2De 6 2De 9 4 6 231.29 2.98E-01 1.26E+05 -1.18E-07 4.30E-02 15 9 2De 6 2De 9 6 6 231.42 1.20E+00 5.05E+05 -5.83E-07 2.12E-01 16 4 2Po 3 2Fo10 4 8 59.98 1.22E-01 3.29E+07 0.00E+00 0.00E+00 16 8 2Po 5 2Fo10 4 8 231.26 -9.70E+00 3.08E+06 0.00E+00 0.00E+00 Number of E2,M1 transitions = 44 Total number of transitions (including non-spectroscopic) = 50 NT= total number of forbidden (E2,M1,E3,M2) transitions = 44 + 11 = 55 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 39 + 55 = 94