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 N VII : Energies, Oscillator strengths and decay rates for allowed (E1) and forbidden (E2,E3,M1,m2) transitions (1s to 4f) Process: N VII + h\nu <-> N VII* 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 = 7, 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 36.750008 3 3 2Se 36.750019 2 4 2De 43.555565 6 5 2Po 43.555565 5 6 2Se 43.555565 4 7 2Fo 45.937508 10 8 2De 45.937508 9 9 2Po 45.937508 8 10 2Se 45.937511 7 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 36.7500 1.505E+12 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 5 2Po: 5 0.0000 43.5556 4.018E+11 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 9 2Po: 8 0.0000 45.9375 1.638E+11 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 4 2De: 6 36.7500 43.5556 1.553E+11 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 6 2Se: 4 36.7500 43.5556 1.517E+10 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 8 2De: 9 36.7500 45.9375 4.955E+10 1.22E-01 1.22E-01 1.0E-06 2 2Po: 3 10 2Se: 7 36.7500 45.9375 6.193E+09 3.04E-03 3.05E-03 1.6E-01 3 2Se: 2 5 2Po: 5 36.7500 43.5556 5.393E+10 4.35E-01 4.35E-01 1.1E-03 3 2Se: 2 9 2Po: 8 36.7500 45.9375 2.322E+10 1.03E-01 1.03E-01 4.9E-03 4 2De: 6 7 2Fo:10 43.5556 45.9375 3.312E+10 1.02E+00 1.02E+00 4.7E-06 4 2De: 6 9 2Po: 8 43.5556 45.9375 8.349E+08 1.10E-02 1.10E-02 2.5E-06 5 2Po: 5 8 2De: 9 43.5556 45.9375 1.691E+10 6.18E-01 6.18E-01 5.4E-04 5 2Po: 5 10 2Se: 7 43.5556 45.9375 4.409E+09 3.22E-02 3.22E-02 1.9E-06 6 2Se: 4 9 2Po: 8 43.5556 45.9375 7.363E+09 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 4035259.0 3.67720E+01 3 2Se( 2) 2 4035261.0 3.67720E+01 4 2Po( 3) 4 4036137.0 3.67800E+01 5 2Po( 5) 2 4782790.0 4.35840E+01 6 2Se( 4) 2 4782790.0 4.35840E+01 7 2De( 6) 4 4783049.0 4.35864E+01 8 2Po( 5) 4 4783049.0 4.35864E+01 9 2De( 6) 6 4783136.0 4.35871E+01 10 2Po( 8) 2 5044390.0 4.59679E+01 11 2Se( 7) 2 5044390.0 4.59679E+01 12 2De( 9) 4 5044499.0 4.59689E+01 13 2Po( 8) 4 5044499.0 4.59689E+01 14 2Fo(10) 6 5044536.0 4.59692E+01 15 2De( 9) 6 5044536.0 4.59692E+01 16 2Fo(10) 8 5044554.0 4.59694E+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 24.78 36.77 0.00 1.38E-01 2.259E-02 1.50E+12 4 1 2Po 3 2Se 1 4 2 24.78 36.78 0.00 2.77E-01 -4.515E-02 1.50E+12 4 3 2Po 3 2Se 2 4 2 114247.88 36.78 36.77 9.76E-04 7.344E-01 2.49E+02 5 1 2Po 5 2Se 1 2 2 20.91 43.58 0.00 2.62E-02 3.604E-03 3.99E+11 5 3 2Po 5 2Se 2 2 2 133.77 43.58 36.77 1.45E-01 1.274E-01 5.39E+10 6 2 2Se 4 2Po 3 2 2 133.77 43.58 36.77 1.35E-02 1.188E-02 5.03E+09 6 4 2Se 4 2Po 3 2 4 133.93 43.58 36.78 1.37E-02 2.408E-02 1.01E+10 7 2 2De 6 2Po 3 4 2 133.73 43.59 36.77 6.95E-01 -6.115E-01 1.29E+11 7 4 2De 6 2Po 3 4 4 133.88 43.59 36.78 6.96E-02 1.226E-01 2.59E+10 7 5 2De 6 2Po 5 4 2 385432.69 43.59 43.58 1.09E-03 2.755E+00 2.44E+01 8 1 2Po 5 2Se 1 4 2 20.91 43.59 0.00 5.25E-02 -7.225E-03 4.00E+11 8 3 2Po 5 2Se 2 4 2 133.73 43.59 36.77 2.89E-01 -2.542E-01 5.38E+10 8 6 2Po 5 2Se 4 4 2 385855.12 43.59 43.58 1.73E-03 4.407E+00 3.89E+01 9 4 2De 6 2Po 3 6 4 133.87 43.59 36.78 6.26E-01 -1.103E+00 1.55E+11 10 1 2Po 8 2Se 1 2 2 19.82 45.97 0.00 9.50E-03 1.240E-03 1.61E+11 10 3 2Po 8 2Se 2 2 2 99.10 45.97 36.77 3.40E-02 2.215E-02 2.31E+10 10 6 2Po 8 2Se 4 2 2 382.26 45.97 43.58 1.61E-01 4.052E-01 7.35E+09 10 7 2Po 8 2De 6 2 4 382.64 45.97 43.59 9.17E-03 4.623E-02 8.36E+08 11 2 2Se 7 2Po 3 2 2 99.10 45.97 36.77 2.95E-03 1.924E-03 2.00E+09 11 4 2Se 7 2Po 3 2 4 99.18 45.97 36.78 3.03E-03 3.954E-03 4.10E+09 11 5 2Se 7 2Po 5 2 2 382.26 45.97 43.58 3.20E-02 8.044E-02 1.46E+09 11 8 2Se 7 2Po 5 2 4 382.64 45.97 43.59 3.23E-02 1.629E-01 2.94E+09 12 2 2De 9 2Po 3 4 2 99.08 45.97 36.77 1.21E-01 -7.920E-02 4.12E+10 12 4 2De 9 2Po 3 4 4 99.17 45.97 36.78 1.21E-02 1.587E-02 8.24E+09 12 5 2De 9 2Po 5 4 2 382.10 45.97 43.58 6.16E-01 -1.550E+00 1.41E+10 12 8 2De 9 2Po 5 4 4 382.48 45.97 43.59 6.18E-02 3.111E-01 2.82E+09 13 1 2Po 8 2Se 1 4 2 19.82 45.97 0.00 1.91E-02 -2.492E-03 1.62E+11 13 3 2Po 8 2Se 2 4 2 99.08 45.97 36.77 6.80E-02 -4.434E-02 2.31E+10 13 6 2Po 8 2Se 4 4 2 382.10 45.97 43.58 3.21E-01 -8.081E-01 7.34E+09 13 7 2Po 8 2De 6 4 4 382.48 45.97 43.59 1.82E-03 9.175E-03 8.31E+07 13 9 2Po 8 2De 6 4 6 382.61 45.97 43.59 1.10E-02 8.308E-02 7.51E+08 14 7 2Fo10 2De 6 6 4 382.43 45.97 43.59 1.02E+00 -5.121E+00 3.09E+10 14 9 2Fo10 2De 6 6 6 382.56 45.97 43.59 4.84E-02 3.660E-01 2.21E+09 15 4 2De 9 2Po 3 6 4 99.17 45.97 36.78 1.09E-01 -1.429E-01 4.95E+10 15 8 2De 9 2Po 5 6 4 382.43 45.97 43.59 5.56E-01 -2.799E+00 1.69E+10 16 9 2Fo10 2De 6 8 6 382.53 45.97 43.59 9.69E-01 -7.320E+00 3.31E+10 No of non-zero E1 transitions = 36 (I1 = 36) No of E1 transitions including (SD=0)= 36 No of lines in the table = 58 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 2 133.71 -1.65E+00 1.13E+02 1.57E+01 9.10E+02 10 9 2Po 8 2De 6 2 6 382.77 -3.21E+01 4.20E+00 1.19E+00 1.08E+00 14 1 2Fo10 2Se 1 6 2 19.82 2.20E-05 9.60E+02 0.00E+00 0.00E+00 14 3 2Fo10 2Se 2 6 2 99.08 -1.27E+00 7.12E+02 0.00E+00 0.00E+00 14 6 2Fo10 2Se 4 6 2 382.05 1.47E+02 6.48E+00 0.00E+00 0.00E+00 15 2 2De 9 2Po 3 6 2 99.08 1.00E-04 5.60E-02 2.03E+00 5.28E+02 15 5 2De 9 2Po 5 6 2 382.05 -1.42E+02 6.28E+00 3.97E+01 1.21E+01 16 1 2Fo10 2Se 1 8 2 19.82 -2.94E-05 9.60E+02 0.00E+00 0.00E+00 16 3 2Fo10 2Se 2 8 2 99.08 1.70E+00 7.12E+02 0.00E+00 0.00E+00 16 6 2Fo10 2Se 4 8 2 382.02 -1.96E+02 6.49E+00 0.00E+00 0.00E+00 16 7 2Fo10 2De 6 8 4 382.40 -5.32E+01 1.75E+00 1.25E+02 2.85E+01 No of non-zero M2/E3 transitions = 11 Total number of M2/E3 transitions = 15 ---------------------------------------------------------------------------- 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 24.78 0.00E+00 0.00E+00 -7.99E-07 7.08E+02 4 2 2Po 3 2Po 3 2 4 113959.16 -1.99E-01 4.36E-09 -1.33E+00 6.07E-03 5 2 2Po 3 2Po 5 2 2 133.77 0.00E+00 0.00E+00 -2.46E-08 1.39E-01 5 4 2Po 3 2Po 5 4 2 133.93 -1.44E-01 2.81E+06 -7.11E-07 3.99E+00 6 1 2Se 1 2Se 4 2 2 20.91 0.00E+00 0.00E+00 -2.15E-07 3.18E+02 6 3 2Se 2 2Se 4 2 2 133.77 0.00E+00 0.00E+00 -9.41E-08 5.30E-01 7 1 2Se 1 2De 6 2 4 20.91 -6.69E-04 7.03E+07 7.33E-09 5.41E+00 7 3 2Se 2 2De 6 2 4 133.73 6.13E-01 6.02E+06 -2.04E-08 5.74E-02 8 2 2Po 3 2Po 5 2 4 133.73 1.43E-01 1.41E+06 -2.96E-07 8.34E-01 8 4 2Po 3 2Po 5 4 4 133.88 1.44E-01 1.41E+06 -3.55E-07 9.99E-01 8 5 2Po 5 2Po 5 2 4 385266.88 -7.19E+00 3.56E-10 -1.33E+00 1.57E-04 9 1 2Se 1 2De 6 2 6 20.91 1.00E-03 7.03E+07 0.00E+00 0.00E+00 9 3 2Se 2 2De 6 2 6 133.71 -9.19E-01 6.02E+06 0.00E+00 0.00E+00 10 2 2Po 3 2Po 8 2 2 99.10 0.00E+00 0.00E+00 -7.78E-09 1.08E-01 10 4 2Po 3 2Po 8 4 2 99.18 -1.37E-02 1.20E+06 -1.72E-07 2.38E+00 10 5 2Po 5 2Po 8 2 2 382.26 0.00E+00 0.00E+00 -7.47E-09 1.80E-03 10 8 2Po 5 2Po 8 4 2 382.64 -2.93E+00 3.00E+05 -6.51E-07 1.57E-01 11 1 2Se 1 2Se 7 2 2 19.82 0.00E+00 0.00E+00 -9.53E-08 1.65E+02 11 3 2Se 2 2Se 7 2 2 99.10 0.00E+00 0.00E+00 -3.33E-08 4.62E-01 11 6 2Se 4 2Se 7 2 2 382.26 0.00E+00 0.00E+00 -2.38E-08 5.75E-03 11 7 2De 6 2Se 7 4 2 382.64 -4.71E-01 4.82E+04 -2.74E-12 6.60E-07 11 9 2De 6 2Se 7 6 2 382.77 -7.10E-01 7.26E+04 0.00E+00 0.00E+00 12 1 2Se 1 2De 9 2 4 19.82 -2.97E-04 4.07E+07 3.75E-09 3.25E+00 12 3 2Se 2 2De 9 2 4 99.08 1.36E-02 5.98E+05 -5.39E-09 3.73E-02 12 6 2Se 4 2De 9 2 4 382.10 8.59E+00 4.43E+05 -2.01E-09 2.43E-04 12 7 2De 6 2De 9 4 4 382.48 1.91E+00 9.79E+04 -4.27E-08 5.15E-03 12 9 2De 6 2De 9 6 4 382.61 -8.19E-01 4.20E+04 -1.39E-07 1.68E-02 13 2 2Po 3 2Po 8 2 4 99.08 1.33E-02 5.86E+05 -5.86E-08 4.06E-01 13 4 2Po 3 2Po 8 4 4 99.17 1.37E-02 5.99E+05 -1.14E-07 7.86E-01 13 5 2Po 5 2Po 8 2 4 382.10 2.90E+00 1.50E+05 -4.27E-07 5.16E-02 13 8 2Po 5 2Po 8 4 4 382.48 2.92E+00 1.50E+05 -1.08E-07 1.30E-02 14 2 2Po 3 2Fo10 2 6 99.08 1.93E-01 5.67E+06 0.00E+00 0.00E+00 14 4 2Po 3 2Fo10 4 6 99.17 -5.54E-02 1.62E+06 5.62E-09 2.59E-02 14 5 2Po 5 2Fo10 2 6 382.05 -1.54E+01 5.32E+05 0.00E+00 0.00E+00 14 8 2Po 5 2Fo10 4 6 382.43 4.42E+00 1.51E+05 -8.45E-09 6.79E-04 15 1 2Se 1 2De 9 2 6 19.82 4.45E-04 4.07E+07 0.00E+00 0.00E+00 15 3 2Se 2 2De 9 2 6 99.08 -2.04E-02 5.99E+05 0.00E+00 0.00E+00 15 6 2Se 4 2De 9 2 6 382.05 -1.29E+01 4.43E+05 0.00E+00 0.00E+00 15 7 2De 6 2De 9 4 6 382.43 8.17E-01 2.80E+04 -4.33E-08 3.48E-03 15 9 2De 6 2De 9 6 6 382.56 3.28E+00 1.12E+05 -2.13E-07 1.71E-02 16 4 2Po 3 2Fo10 4 8 99.17 3.32E-01 7.28E+06 0.00E+00 0.00E+00 16 8 2Po 5 2Fo10 4 8 382.40 -2.65E+01 6.82E+05 0.00E+00 0.00E+00 Number of E2,M1 transitions = 42 Total number of transitions (including non-spectroscopic) = 46 NT= total number of forbidden (E2,M1,E3,M2) transitions = 42 + 11 = 53 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 36 + 53 = 89