c ******************* 786 **************************** c Ref: "Electron-Ion Recombination Rate Coefficients and Photoionization Cross Sections for Al~XI, Al~XII, Si~XII, Si~XIV for UV and X-ray modeling", Sultana N. Nahar, New Astronomy 13, 619-638 (2008) c **************************************************** c Si XIV : Energies, Oscillator strengths and decay rates for allowed (E1) and forbidden (E2,E3,M1,m2) transitions (1s to 4f) Process: Si XIV + h\nu <-> Si XIV* 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 = 14, 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 147.000107 3 3 2Se 147.000122 2 4 2De 174.222321 6 5 2Se 174.222321 4 6 2Po 174.222443 5 7 2Fo 183.750092 10 8 2Po 183.750092 8 9 2Se 183.750092 7 10 2De 183.750107 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 147.0001 2.408E+13 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 6 2Po: 5 0.0000 174.2224 6.429E+12 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 8 2Po: 8 0.0000 183.7501 2.621E+12 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 4 2De: 6 147.0001 174.2223 2.485E+12 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 5 2Se: 4 147.0001 174.2223 2.427E+11 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 9 2Se: 7 147.0001 183.7501 9.909E+10 3.04E-03 3.05E-03 1.6E-01 2 2Po: 3 10 2De: 9 147.0001 183.7501 7.927E+11 1.22E-01 1.22E-01 1.0E-06 3 2Se: 2 6 2Po: 5 147.0001 174.2224 8.628E+11 4.35E-01 4.35E-01 2.3E-03 3 2Se: 2 8 2Po: 8 147.0001 183.7501 3.716E+11 1.03E-01 1.03E-01 4.9E-03 4 2De: 6 7 2Fo:10 174.2223 183.7501 5.299E+11 1.02E+00 1.02E+00 4.7E-06 4 2De: 6 8 2Po: 8 174.2223 183.7501 1.336E+10 1.10E-02 1.10E-02 2.5E-06 5 2Se: 4 8 2Po: 8 174.2223 183.7501 1.178E+11 4.85E-01 4.85E-01 5.2E-03 6 2Po: 5 9 2Se: 7 174.2224 183.7501 7.051E+10 3.22E-02 3.22E-02 1.6E-02 6 2Po: 5 10 2De: 9 174.2224 183.7501 2.704E+11 6.18E-01 6.18E-01 7.6E-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 16170026.0 1.47352E+02 3 2Se( 2) 2 16170089.0 1.47353E+02 4 2Po( 3) 4 16184096.0 1.47480E+02 5 2Po( 5) 2 19168696.0 1.74678E+02 6 2Se( 4) 2 19168704.0 1.74678E+02 7 2De( 6) 4 19172820.0 1.74716E+02 8 2Po( 5) 4 19172836.0 1.74716E+02 9 2De( 6) 6 19174208.0 1.74728E+02 10 2Po( 8) 2 20217630.0 1.84237E+02 11 2Se( 7) 2 20217640.0 1.84237E+02 12 2De( 9) 4 20219360.0 1.84252E+02 13 2Po( 8) 4 20219360.0 1.84252E+02 14 2Fo(10) 6 20219940.0 1.84258E+02 15 2De( 9) 6 20219944.0 1.84258E+02 16 2Fo(10) 8 20220234.0 1.84260E+02 ------------------------------------------------------------------------ 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 6.18 147.35 0.00 1.38E-01 5.601E-03 2.40E+13 4 1 2Po 3 2Se 1 4 2 6.18 147.48 0.00 2.75E-01 -1.117E-02 2.40E+13 4 3 2Po 3 2Se 2 4 2 7139.05 147.48 147.35 3.90E-03 1.833E-01 2.55E+05 5 1 2Po 5 2Se 1 2 2 5.22 174.68 0.00 2.56E-02 8.800E-04 6.28E+12 5 3 2Po 5 2Se 2 2 2 33.35 174.68 147.35 1.44E-01 3.157E-02 8.62E+11 6 2 2Se 4 2Po 3 2 2 33.35 174.68 147.35 1.32E-02 2.897E-03 7.91E+10 6 4 2Se 4 2Po 3 2 4 33.51 174.68 147.48 1.38E-02 6.104E-03 1.64E+11 7 2 2De 6 2Po 3 4 2 33.30 174.72 147.35 6.91E-01 -1.515E-01 2.08E+12 7 4 2De 6 2Po 3 4 4 33.46 174.72 147.48 6.94E-02 3.059E-02 4.14E+11 7 5 2De 6 2Po 5 4 2 24241.31 174.72 174.68 4.32E-03 6.889E-01 2.45E+04 8 1 2Po 5 2Se 1 4 2 5.22 174.72 0.00 5.18E-02 -1.776E-03 6.34E+12 8 3 2Po 5 2Se 2 4 2 33.30 174.72 147.35 2.85E-01 -6.249E-02 8.57E+11 8 6 2Po 5 2Se 4 4 2 24198.26 174.72 174.68 6.91E-03 1.101E+00 3.94E+04 9 4 2De 6 2Po 3 6 4 33.44 174.73 147.48 6.25E-01 -2.751E-01 2.48E+12 9 8 2De 6 2Po 5 6 4 72911.39 174.73 174.72 1.29E-03 1.239E+00 1.08E+03 10 1 2Po 8 2Se 1 2 2 4.95 184.24 0.00 9.03E-03 2.940E-04 2.46E+12 10 3 2Po 8 2Se 2 2 2 24.71 184.24 147.35 3.31E-02 5.378E-03 3.61E+11 10 6 2Po 8 2Se 4 2 2 95.34 184.24 174.68 1.59E-01 9.997E-02 1.17E+11 10 7 2Po 8 2De 6 2 4 95.71 184.24 174.72 9.22E-03 1.162E-02 1.34E+10 11 2 2Se 7 2Po 3 2 2 24.71 184.24 147.35 2.67E-03 4.340E-04 2.92E+10 11 4 2Se 7 2Po 3 2 4 24.79 184.24 147.48 2.97E-03 9.710E-04 6.45E+10 11 5 2Se 7 2Po 5 2 2 95.33 184.24 174.68 3.11E-02 1.951E-02 2.28E+10 11 8 2Se 7 2Po 5 2 4 95.71 184.24 174.72 3.25E-02 4.098E-02 4.74E+10 12 2 2De 9 2Po 3 4 2 24.70 184.25 147.35 1.20E-01 -1.955E-02 6.57E+11 12 4 2De 9 2Po 3 4 4 24.78 184.25 147.48 1.21E-02 3.935E-03 1.31E+11 12 5 2De 9 2Po 5 4 2 95.18 184.25 174.68 6.09E-01 -3.817E-01 2.24E+11 12 8 2De 9 2Po 5 4 4 95.55 184.25 174.72 6.16E-02 7.749E-02 4.50E+10 12 10 2De 9 2Po 8 4 2 57816.40 184.25 184.24 7.75E-03 2.948E+00 7.73E+03 13 1 2Po 8 2Se 1 4 2 4.95 184.25 0.00 1.84E-02 -5.990E-04 2.51E+12 13 3 2Po 8 2Se 2 4 2 24.70 184.25 147.35 6.63E-02 -1.079E-02 3.63E+11 13 6 2Po 8 2Se 4 4 2 95.18 184.25 174.68 3.15E-01 -1.977E-01 1.16E+11 13 7 2Po 8 2De 6 4 4 95.55 184.25 174.72 1.79E-03 2.254E-03 1.31E+09 13 9 2Po 8 2De 6 4 6 95.68 184.25 174.73 1.10E-02 2.078E-02 1.20E+10 13 11 2Po 8 2Se 7 4 2 58109.04 184.25 184.24 9.62E-03 3.682E+00 9.50E+03 14 7 2Fo10 2De 6 6 4 95.50 184.26 174.72 1.01E+00 -1.276E+00 4.95E+11 14 9 2Fo10 2De 6 6 6 95.63 184.26 174.73 4.84E-02 9.138E-02 3.53E+10 14 12 2Fo10 2De 9 6 4 171928.31 184.26 184.25 1.37E-03 3.091E+00 2.05E+02 15 4 2De 9 2Po 3 6 4 24.78 184.26 147.48 1.09E-01 -3.556E-02 7.89E+11 15 8 2De 9 2Po 5 6 4 95.50 184.26 174.72 5.53E-01 -6.960E-01 2.70E+11 15 13 2De 9 2Po 8 6 4 171591.91 184.26 184.25 2.34E-03 5.296E+00 3.54E+02 16 9 2Fo10 2De 6 8 6 95.60 184.26 174.73 9.68E-01 -1.828E+00 5.30E+11 16 15 2Fo10 2De 9 8 6 343864.19 184.26 184.26 6.49E-04 4.411E+00 2.75E+01 No of non-zero E1 transitions = 42 (I1 = 42) No of E1 transitions including (SD=0)= 42 No of lines in the table = 65 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 33.29 -2.54E-02 2.94E+04 3.88E+00 2.36E+05 10 9 2Po 8 2De 6 2 6 95.84 -5.02E-01 1.06E+03 3.05E-01 2.81E+02 14 1 2Fo10 2Se 1 6 2 4.95 -3.92E-09 2.84E+03 0.00E+00 0.00E+00 14 3 2Fo10 2Se 2 6 2 24.69 -2.00E-02 1.87E+05 0.00E+00 0.00E+00 14 6 2Fo10 2Se 4 6 2 95.13 2.27E+00 1.69E+03 0.00E+00 0.00E+00 15 2 2De 9 2Po 3 6 2 24.69 2.50E-05 2.34E+02 5.02E-01 1.36E+05 15 5 2De 9 2Po 5 6 2 95.13 -2.17E+00 1.61E+03 9.75E+00 3.11E+03 16 1 2Fo10 2Se 1 8 2 4.95 5.23E-09 2.84E+03 0.00E+00 0.00E+00 16 3 2Fo10 2Se 2 8 2 24.69 2.67E-02 1.87E+05 0.00E+00 0.00E+00 16 6 2Fo10 2Se 4 8 2 95.10 -3.02E+00 1.69E+03 0.00E+00 0.00E+00 16 7 2Fo10 2De 6 8 4 95.47 -8.26E-01 4.49E+02 3.11E+01 7.31E+03 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 6.18 0.00E+00 0.00E+00 -1.29E-05 7.34E+05 4 2 2Po 3 2Po 3 2 4 7107.22 -1.24E-02 2.87E-04 -1.33E+00 2.50E+01 5 2 2Po 3 2Po 5 2 2 33.35 0.00E+00 0.00E+00 -3.91E-07 1.42E+02 5 4 2Po 3 2Po 5 4 2 33.51 -9.03E-03 1.80E+08 -1.14E-05 4.07E+03 6 1 2Se 1 2Se 4 2 2 5.22 0.00E+00 0.00E+00 -3.56E-06 3.38E+05 6 3 2Se 2 2Se 4 2 2 33.35 0.00E+00 0.00E+00 -1.49E-06 5.43E+02 7 1 2Se 1 2De 6 2 4 5.22 -4.21E-05 4.58E+09 1.15E-07 5.45E+03 7 3 2Se 2 2De 6 2 4 33.30 3.79E-02 3.88E+08 -3.26E-07 5.96E+01 7 6 2Se 4 2De 6 2 4 24290.12 -2.80E-01 1.39E-05 1.16E-08 5.45E-09 8 2 2Po 3 2Po 5 2 4 33.30 8.75E-03 8.97E+07 -4.69E-06 8.57E+02 8 4 2Po 3 2Po 5 4 4 33.46 8.96E-03 8.98E+07 -5.70E-06 1.03E+03 8 5 2Po 5 2Po 5 2 4 24149.82 -4.47E-01 2.29E-05 -1.33E+00 6.38E-01 9 1 2Se 1 2De 6 2 6 5.22 6.31E-05 4.58E+09 0.00E+00 0.00E+00 9 3 2Se 2 2De 6 2 6 33.29 -5.68E-02 3.89E+08 0.00E+00 0.00E+00 9 6 2Se 4 2De 6 2 6 18168.42 4.21E-01 5.95E-05 0.00E+00 0.00E+00 9 7 2De 6 2De 6 4 6 72089.98 -9.42E-02 1.36E-08 -2.40E+00 2.88E-02 10 2 2Po 3 2Po 8 2 2 24.71 0.00E+00 0.00E+00 -1.20E-07 1.08E+02 10 4 2Po 3 2Po 8 4 2 24.79 -8.16E-04 7.32E+07 -2.72E-06 2.41E+03 10 5 2Po 5 2Po 8 2 2 95.33 0.00E+00 0.00E+00 -1.18E-07 1.83E+00 10 8 2Po 5 2Po 8 4 2 95.71 -1.82E-01 1.91E+07 -1.03E-05 1.58E+02 11 1 2Se 1 2Se 7 2 2 4.95 0.00E+00 0.00E+00 -1.98E-06 2.20E+05 11 3 2Se 2 2Se 7 2 2 24.71 0.00E+00 0.00E+00 -5.45E-07 4.88E+02 11 6 2Se 4 2Se 7 2 2 95.33 0.00E+00 0.00E+00 -3.73E-07 5.80E+00 11 7 2De 6 2Se 7 4 2 95.71 -2.92E-02 3.06E+06 -4.89E-11 7.52E-04 11 9 2De 6 2Se 7 6 2 95.84 -4.46E-02 4.64E+06 0.00E+00 0.00E+00 12 1 2Se 1 2De 9 2 4 4.95 -2.16E-05 3.06E+09 4.76E-08 2.65E+03 12 3 2Se 2 2De 9 2 4 24.70 8.02E-04 3.66E+07 -8.77E-08 3.93E+01 12 6 2Se 4 2De 9 2 4 95.18 5.29E-01 2.84E+07 -3.19E-08 2.50E-01 12 7 2De 6 2De 9 4 4 95.55 1.18E-01 6.24E+06 -6.83E-07 5.28E+00 12 9 2De 6 2De 9 6 4 95.68 -5.11E-02 2.68E+06 -2.23E-06 1.71E+01 13 2 2Po 3 2Po 8 2 4 24.70 7.37E-04 3.37E+07 -9.11E-07 4.08E+02 13 4 2Po 3 2Po 8 4 4 24.78 8.22E-04 3.69E+07 -1.83E-06 8.13E+02 13 5 2Po 5 2Po 8 2 4 95.18 1.76E-01 9.48E+06 -6.71E-06 5.25E+01 13 8 2Po 5 2Po 8 4 4 95.55 1.81E-01 9.54E+06 -1.72E-06 1.33E+01 13 10 2Po 8 2Po 8 2 4 57805.04 -5.01E+00 3.26E-06 -1.33E+00 4.65E-02 14 2 2Po 3 2Fo10 2 6 24.69 1.20E-02 3.66E+08 0.00E+00 0.00E+00 14 4 2Po 3 2Fo10 4 6 24.78 -3.46E-03 1.04E+08 8.96E-08 2.65E+01 14 5 2Po 5 2Fo10 2 6 95.13 -9.56E-01 3.44E+07 0.00E+00 0.00E+00 14 8 2Po 5 2Fo10 4 6 95.50 2.75E-01 9.71E+06 -1.35E-07 6.99E-01 15 1 2Se 1 2De 9 2 6 4.95 3.24E-05 3.07E+09 0.00E+00 0.00E+00 15 3 2Se 2 2De 9 2 6 24.69 -1.22E-03 3.71E+07 0.00E+00 0.00E+00 15 6 2Se 4 2De 9 2 6 95.13 -7.93E-01 2.85E+07 0.00E+00 0.00E+00 15 7 2De 6 2De 9 4 6 95.50 5.06E-02 1.78E+06 -6.90E-07 3.56E+00 15 9 2De 6 2De 9 6 6 95.63 2.04E-01 7.14E+06 -3.42E-06 1.76E+01 15 11 2Se 7 2De 9 2 6 43408.79 6.02E+00 1.09E-05 0.00E+00 0.00E+00 15 12 2De 9 2De 9 4 6 171491.81 -1.51E+00 2.86E-09 -2.40E+00 2.14E-03 16 4 2Po 3 2Fo10 4 8 24.78 2.07E-02 4.66E+08 0.00E+00 0.00E+00 16 8 2Po 5 2Fo10 4 8 95.47 -1.65E+00 4.38E+07 0.00E+00 0.00E+00 16 14 2Fo10 2Fo10 6 8 342122.53 -5.14E-01 2.30E-11 -3.43E+00 2.89E-04 Number of E2,M1 transitions = 49 Total number of transitions (including non-spectroscopic) = 53 NT= total number of forbidden (E2,M1,E3,M2) transitions = 49 + 11 = 60 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 42 + 60 = 102