c ******************* 786 **************************** c Ref: ""Electron-Ion Recombination Rate Coefficients and Photoionization Cross Sections for S~XIV and S~XV for X-ray and UV modeling", Sultana N. Nahar, The Open Astronomy J. I, 1-26 (2008) c **************************************************** c S XVI : Energies, Oscillator strengths and decay rates for allowed (E1) and forbidden (E2,E3,M1,m2) transitions (1s to 4f) Process: S XVI + h\nu <-> S XVI* 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 = 16, 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) ---------------------------------------------- LS energies: i SLP E(Rel,Ry) cfg# 1 2Se 0.000000 1 2 2Po 192.000153 3 3 2Se 192.000580 2 4 2De 227.555710 6 5 2Se 227.555710 4 6 2Po 227.555756 5 7 2Fo 240.000153 10 8 2Po 240.000153 8 9 2Se 240.000153 7 10 2De 240.000580 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 -------------------- Transitions in pure LS coupling - Oscillator Strengths: Ni LSi:CFi Nf LSf:CFf Ei Ef aji(s-1) fL fV %diff 1 2Se: 1 2 2Po: 3 0.0000 192.0002 4.108E+13 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 6 2Po: 5 0.0000 227.5558 1.097E+13 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 8 2Po: 8 0.0000 240.0002 4.471E+12 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 3 2Se: 2 192.0002 192.0006 2.097E-02 0.00E+00 0.00E+00 0.0E+00 2 2Po: 3 4 2De: 6 192.0002 227.5557 4.239E+12 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 5 2Se: 4 192.0002 227.5557 4.140E+11 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 9 2Se: 7 192.0002 240.0002 1.690E+11 3.04E-03 3.05E-03 1.6E-01 2 2Po: 3 10 2De: 9 192.0002 240.0006 1.353E+12 1.22E-01 1.22E-01 2.7E-03 3 2Se: 2 6 2Po: 5 192.0006 227.5558 1.472E+12 4.35E-01 4.35E-01 1.2E-03 3 2Se: 2 8 2Po: 8 192.0006 240.0002 6.339E+11 1.03E-01 1.03E-01 4.9E-03 4 2De: 6 7 2Fo:10 227.5557 240.0002 9.041E+11 1.02E+00 1.02E+00 4.7E-06 4 2De: 6 8 2Po: 8 227.5557 240.0002 2.279E+10 1.10E-02 1.10E-02 2.5E-06 5 2Se: 4 8 2Po: 8 227.5557 240.0002 2.010E+11 4.85E-01 4.85E-01 1.0E-03 6 2Po: 5 9 2Se: 7 227.5558 240.0002 1.203E+11 3.22E-02 3.22E-02 1.9E-06 6 2Po: 5 10 2De: 9 227.5558 240.0006 4.615E+11 6.18E-01 6.18E-01 5.4E-04 7 2Fo:10 10 2De: 9 240.0002 240.0006 1.333E-01 6.00E-05 0.00E+00 1.0E+02 8 2Po: 8 10 2De: 9 240.0002 240.0006 1.487E-01 1.60E-04 1.50E-04 3.2E+00 LS transitions: Number of oscillator strengths = 17 ----------------------------------------------------------------------------- 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 21135508.0 1.92601E+02 3 2Se( 2) 2 21135688.0 1.92603E+02 4 2Po( 3) 4 21159532.0 1.92820E+02 5 2Po( 5) 2 25056698.0 2.28333E+02 6 2Se( 4) 2 25056740.0 2.28334E+02 7 2De( 6) 4 25063744.0 2.28398E+02 8 2Po( 5) 4 25063752.0 2.28398E+02 9 2De( 6) 6 25066110.0 2.28419E+02 10 2Po( 8) 2 26428112.0 2.40831E+02 11 2Se( 7) 2 26428132.0 2.40831E+02 12 2Po( 8) 4 26431050.0 2.40857E+02 13 2De( 9) 4 26431096.0 2.40858E+02 14 2Fo(10) 6 26432040.0 2.40866E+02 15 2De( 9) 6 26432088.0 2.40867E+02 16 2Fo(10) 8 26432540.0 2.40871E+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 4.73 192.60 0.00 1.37E-01 4.274E-03 4.09E+13 3 2 2Se 2 2Po 3 2 2 550390.00 192.60 192.60 1.93E-05 -6.984E-02 4.24E-01 4 1 2Po 3 2Se 1 4 2 4.73 192.82 0.00 2.74E-01 -8.520E-03 4.09E+13 4 3 2Po 3 2Se 2 4 2 4194.22 192.82 192.60 5.08E-03 1.403E-01 9.63E+05 5 1 2Po 5 2Se 1 2 2 3.99 228.33 0.00 2.54E-02 6.670E-04 1.06E+13 5 3 2Po 5 2Se 2 2 2 25.50 228.33 192.60 1.43E-01 2.408E-02 1.47E+12 6 2 2Se 4 2Po 3 2 2 25.50 228.33 192.60 1.31E-02 2.195E-03 1.34E+11 6 4 2Se 4 2Po 3 2 4 25.66 228.33 192.82 1.39E-02 4.700E-03 2.82E+11 7 2 2De 6 2Po 3 4 2 25.46 228.40 192.60 6.89E-01 -1.155E-01 3.55E+12 7 4 2De 6 2Po 3 4 4 25.61 228.40 192.82 6.94E-02 2.340E-02 7.05E+11 7 5 2De 6 2Po 5 4 2 14194.07 228.40 228.33 5.64E-03 5.274E-01 9.34E+04 8 1 2Po 5 2Se 1 4 2 3.99 228.40 0.00 5.14E-02 -1.351E-03 1.08E+13 8 3 2Po 5 2Se 2 4 2 25.46 228.40 192.60 2.83E-01 -4.751E-02 1.46E+12 8 6 2Po 5 2Se 4 4 2 14259.63 228.40 228.33 8.98E-03 8.428E-01 1.47E+05 9 4 2De 6 2Po 3 6 4 25.60 228.42 192.82 6.24E-01 -2.104E-01 4.24E+12 9 8 2De 6 2Po 5 6 4 42423.60 228.42 228.40 1.70E-03 9.488E-01 4.20E+03 10 1 2Po 8 2Se 1 2 2 3.78 240.83 0.00 8.84E-03 2.200E-04 4.12E+12 10 3 2Po 8 2Se 2 2 2 18.89 240.83 192.60 3.27E-02 4.069E-03 6.11E+11 10 6 2Po 8 2Se 4 2 2 72.92 240.83 228.33 1.59E-01 7.612E-02 1.99E+11 10 7 2Po 8 2De 6 2 4 73.29 240.83 228.40 9.24E-03 8.916E-03 2.29E+10 11 2 2Se 7 2Po 3 2 2 18.89 240.83 192.60 2.56E-03 3.180E-04 4.78E+10 11 4 2Se 7 2Po 3 2 4 18.98 240.83 192.82 2.95E-03 7.380E-04 1.09E+11 11 5 2Se 7 2Po 5 2 2 72.92 240.83 228.33 3.08E-02 1.476E-02 3.86E+10 11 8 2Se 7 2Po 5 2 4 73.29 240.83 228.40 3.26E-02 3.147E-02 8.10E+10 12 1 2Po 8 2Se 1 4 2 3.78 240.86 0.00 1.81E-02 -4.510E-04 4.22E+12 12 3 2Po 8 2Se 2 4 2 18.88 240.86 192.60 6.57E-02 -8.166E-03 6.14E+11 12 6 2Po 8 2Se 4 4 2 72.76 240.86 228.33 3.13E-01 -1.500E-01 1.97E+11 12 7 2Po 8 2De 6 4 4 73.14 240.86 228.40 1.78E-03 1.713E-03 2.22E+09 12 9 2Po 8 2De 6 4 6 73.26 240.86 228.42 1.10E-02 1.591E-02 2.05E+10 12 11 2Po 8 2Se 7 4 2 34258.67 240.86 240.83 1.25E-02 2.821E+00 3.55E+04 13 2 2De 9 2Po 3 4 2 18.88 240.86 192.60 1.20E-01 -1.489E-02 1.12E+12 13 4 2De 9 2Po 3 4 4 18.97 240.86 192.82 1.20E-02 3.003E-03 2.23E+11 13 5 2De 9 2Po 5 4 2 72.76 240.86 228.33 6.07E-01 -2.905E-01 3.82E+11 13 8 2De 9 2Po 5 4 4 73.13 240.86 228.40 6.15E-02 5.925E-02 7.67E+10 13 10 2De 9 2Po 8 4 2 33515.98 240.86 240.83 1.02E-02 2.259E+00 3.04E+04 14 7 2Fo10 2De 6 6 4 73.08 240.87 228.40 1.01E+00 -9.760E-01 8.44E+11 14 9 2Fo10 2De 6 6 6 73.21 240.87 228.42 4.84E-02 6.993E-02 6.02E+10 14 13 2Fo10 2De 9 6 4 105762.02 240.87 240.86 1.70E-03 2.368E+00 6.76E+02 15 4 2De 9 2Po 3 6 4 18.97 240.87 192.82 1.09E-01 -2.718E-02 1.35E+12 15 8 2De 9 2Po 5 6 4 73.08 240.87 228.40 5.53E-01 -5.319E-01 4.60E+11 15 12 2De 9 2Po 8 6 4 96267.02 240.87 240.86 3.20E-03 4.056E+00 1.54E+03 16 9 2Fo10 2De 6 8 6 73.18 240.87 228.42 9.67E-01 -1.399E+00 9.04E+11 16 15 2Fo10 2De 9 8 6 222234.70 240.87 240.87 7.69E-04 3.378E+00 7.79E+01 No of non-zero E1 transitions = 43 (I1 = 43) No of E1 transitions including (SD=0)= 43 No of lines in the table = 66 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 25.44 -1.13E-02 8.59E+04 2.96E+00 6.89E+05 10 9 2Po 8 2De 6 2 6 73.42 -2.25E-01 3.08E+03 2.35E-01 8.23E+02 14 1 2Fo10 2Se 1 6 2 3.78 -4.81E-08 2.27E+05 0.00E+00 0.00E+00 14 3 2Fo10 2Se 2 6 2 18.88 -9.00E-03 5.51E+05 0.00E+00 0.00E+00 14 6 2Fo10 2Se 4 6 2 72.71 1.01E+00 4.94E+03 0.00E+00 0.00E+00 15 2 2De 9 2Po 3 6 2 18.88 1.92E-05 1.17E+03 3.83E-01 3.97E+05 15 5 2De 9 2Po 5 6 2 72.71 -9.65E-01 4.71E+03 7.42E+00 9.07E+03 16 1 2Fo10 2Se 1 8 2 3.78 6.42E-08 2.27E+05 0.00E+00 0.00E+00 16 3 2Fo10 2Se 2 8 2 18.88 1.20E-02 5.52E+05 0.00E+00 0.00E+00 16 6 2Fo10 2Se 4 8 2 72.69 -1.35E+00 4.95E+03 0.00E+00 0.00E+00 16 7 2Fo10 2De 6 8 4 73.06 -3.70E-01 1.31E+03 2.38E+01 2.13E+04 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 4.73 0.00E+00 0.00E+00 -2.20E-05 2.80E+06 4 2 2Po 3 2Po 3 2 4 4162.50 -7.24E-03 2.43E-03 -1.33E+00 1.24E+02 5 2 2Po 3 2Po 5 2 2 25.50 0.00E+00 0.00E+00 -6.66E-07 5.41E+02 5 4 2Po 3 2Po 5 4 2 25.66 -5.29E-03 4.00E+08 -1.93E-05 1.54E+04 6 1 2Se 1 2Se 4 2 2 3.99 0.00E+00 0.00E+00 -6.17E-06 1.31E+06 6 3 2Se 2 2Se 4 2 2 25.50 0.00E+00 0.00E+00 -2.54E-06 2.06E+03 7 1 2Se 1 2De 6 2 4 3.99 -2.47E-05 1.03E+10 1.94E-07 2.06E+04 7 3 2Se 2 2De 6 2 4 25.46 2.21E-02 8.68E+08 -5.57E-07 2.28E+02 7 6 2Se 4 2De 6 2 4 14280.01 -1.64E-01 1.16E-04 2.00E-08 4.62E-08 8 2 2Po 3 2Po 5 2 4 25.46 5.08E-03 2.00E+08 -7.98E-06 3.26E+03 8 4 2Po 3 2Po 5 4 4 25.61 5.24E-03 2.00E+08 -9.72E-06 3.90E+03 8 5 2Po 5 2Po 5 2 4 14173.94 -2.62E-01 1.92E-04 -1.33E+00 3.15E+00 9 1 2Se 1 2De 6 2 6 3.99 3.71E-05 1.03E+10 0.00E+00 0.00E+00 9 3 2Se 2 2De 6 2 6 25.44 -3.31E-02 8.70E+08 0.00E+00 0.00E+00 9 6 2Se 4 2De 6 2 6 10672.38 2.47E-01 4.99E-04 0.00E+00 0.00E+00 9 7 2De 6 2De 6 4 6 42244.23 -5.52E-02 1.15E-07 -2.40E+00 1.43E-01 10 2 2Po 3 2Po 8 2 2 18.89 0.00E+00 0.00E+00 -2.02E-07 4.04E+02 10 4 2Po 3 2Po 8 4 2 18.98 -4.69E-04 1.60E+08 -4.62E-06 9.11E+03 10 5 2Po 5 2Po 8 2 2 72.92 0.00E+00 0.00E+00 -1.99E-07 6.93E+00 10 8 2Po 5 2Po 8 4 2 73.29 -1.07E-01 4.24E+07 -1.74E-05 5.96E+02 11 1 2Se 1 2Se 7 2 2 3.78 0.00E+00 0.00E+00 -3.72E-06 9.26E+05 11 3 2Se 2 2Se 7 2 2 18.89 0.00E+00 0.00E+00 -9.39E-07 1.88E+03 11 6 2Se 4 2Se 7 2 2 72.92 0.00E+00 0.00E+00 -6.30E-07 2.19E+01 11 7 2De 6 2Se 7 4 2 73.29 -1.71E-02 6.78E+06 -8.70E-11 2.98E-03 11 9 2De 6 2Se 7 6 2 73.42 -2.62E-02 1.03E+07 0.00E+00 0.00E+00 12 2 2Po 3 2Po 8 2 4 18.88 4.10E-04 7.18E+07 -1.54E-06 1.54E+03 12 4 2Po 3 2Po 8 4 4 18.97 4.74E-04 8.11E+07 -3.14E-06 3.10E+03 12 5 2Po 5 2Po 8 2 4 72.76 1.02E-01 2.10E+07 -1.14E-05 1.99E+02 12 8 2Po 5 2Po 8 4 4 73.14 1.06E-01 2.12E+07 -2.94E-06 5.06E+01 12 10 2Po 8 2Po 8 2 4 34024.51 -2.94E+00 2.71E-05 -1.33E+00 2.28E-01 13 1 2Se 1 2De 9 2 4 3.78 -1.34E-05 7.26E+09 7.32E-08 9.11E+03 13 3 2Se 2 2De 9 2 4 18.88 4.59E-04 8.02E+07 -1.51E-07 1.51E+02 13 6 2Se 4 2De 9 2 4 72.76 3.08E-01 6.35E+07 -5.43E-08 9.50E-01 13 7 2De 6 2De 9 4 4 73.13 6.91E-02 1.39E+07 -1.16E-06 2.01E+01 13 9 2De 6 2De 9 6 4 73.26 -2.99E-02 5.96E+06 -3.80E-06 6.51E+01 13 11 2Se 7 2De 9 2 4 33743.16 -2.35E+00 2.26E-05 1.27E-08 2.23E-09 14 2 2Po 3 2Fo10 2 6 18.88 7.01E-03 8.18E+08 0.00E+00 0.00E+00 14 4 2Po 3 2Fo10 4 6 18.97 -2.02E-03 2.31E+08 1.53E-07 1.01E+02 14 5 2Po 5 2Fo10 2 6 72.71 -5.58E-01 7.70E+07 0.00E+00 0.00E+00 14 8 2Po 5 2Fo10 4 6 73.08 1.61E-01 2.16E+07 -2.31E-07 2.66E+00 14 10 2Po 8 2Fo10 2 6 25450.66 1.65E+00 4.33E-05 0.00E+00 0.00E+00 15 1 2Se 1 2De 9 2 6 3.78 2.02E-05 7.28E+09 0.00E+00 0.00E+00 15 3 2Se 2 2De 9 2 6 18.88 -6.98E-04 8.14E+07 0.00E+00 0.00E+00 15 6 2Se 4 2De 9 2 6 72.71 -4.62E-01 6.36E+07 0.00E+00 0.00E+00 15 7 2De 6 2De 9 4 6 73.08 2.95E-02 3.97E+06 -1.17E-06 1.35E+01 15 9 2De 6 2De 9 6 6 73.21 1.19E-01 1.59E+07 -5.83E-06 6.68E+01 15 11 2Se 7 2De 9 2 6 25266.90 3.53E+00 9.59E-05 0.00E+00 0.00E+00 15 13 2De 9 2De 9 4 6 100585.08 -8.87E-01 2.41E-08 -2.40E+00 1.06E-02 16 4 2Po 3 2Fo10 4 8 18.96 1.21E-02 1.04E+09 0.00E+00 0.00E+00 16 8 2Po 5 2Fo10 4 8 73.06 -9.68E-01 9.76E+07 0.00E+00 0.00E+00 16 14 2Fo10 2Fo10 6 8 200545.91 -3.01E-01 1.95E-10 -3.43E+00 1.43E-03 Number of E2,M1 transitions = 51 Total number of transitions (including non-spectroscopic) = 53 NT= total number of forbidden (E2,M1,E3,M2) transitions = 51 + 11 = 62 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 43 + 62 = 105