c **************************** 786 ******************** c Ref: "Spectra of phosphorus ions for astrophysical modeling: P~I - P~XV", Sultana N Nahar and Bilal Shafique, Can.J.Phys. 103. 100-130 (2025, online version, dx.doi.org/10.1139/cjp-2023-0272, invited for the Special issue honoring Ravi Rau, 2024) c ********************************************************* c Contents: --------- P XV : Energy levels, Oscillator strengths f, S, A-values for allowed (E1) and forbidden (E2,E3,M1,M2) fine structure transitions in Breit-Pauli approximation Process: P XV + h\nu <-> P XV* xplanation of data tables: ------------------------ 1) Table of Configurations and Thomas-Fermi scaling parameters 2) Table of LS term energies 3) LS Multiplets 4) Fine Structure energies : 5) Allowed E1 transitions with same spin multiplicity - E1d 6) Allowed E1 transitions with intercombination spin multiplicity - E1i 7) Forbidden E3 and M2 transitions in Breit-Pauli approximation 8) Forbidden E2 and M1 transitions in Breit-Pauli approximation **************************************************************************** 1) Table of Configurations and Thomas-Fermi scaling parameters ---------------------------------------------------------------- Ion: nz = 15, nelc = 1 Total Number of LS terms= 10 Configuration set: 10 configurations: first 10 spectroscopic, rest 0 correlation 1 1s 2 2s 3 2p 4 3s 5 3p 6 3d 7 4s 8 4p 9 4d 10 4f NOTE: Available observed energies are implemented Number of orbitals = 10 *********************************************************************** 2) Table of LS term energies ---------------------------- Note: This table, generated by SUPERSTRUCTURE, was not used for any need, but given here for general information. ------------------------------------------------ LS energies: i SLP E(Rel,Ry) cfg# 1 2Se 0.000000 1 2 2Po 168.750128 3 3 2Se 168.750137 2 4 2De 200.000121 6 5 2Se 200.000128 4 6 2Po 200.000206 5 7 2Fo 210.937620 10 8 2Se 210.937623 7 9 2Po 210.937642 8 10 2De 210.937961 9 Number of first LS terms optimized = 10 ************************************************************* 3) LS Multiplets: ------------------ Note: This table, generated by SUPERSTRUCTURE, was not used for any need, but given here for general information. ---------------------------- 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 168.7501 3.173E+13 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 6 2Po: 5 0.0000 200.0002 8.472E+12 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 9 2Po: 8 0.0000 210.9376 3.454E+12 2.90E-02 2.90E-02 1.7E-02 2 2Po: 3 4 2De: 6 168.7501 200.0001 3.275E+12 6.96E-01 6.96E-01 4.8E-04 2 2Po: 3 5 2Se: 4 168.7501 200.0001 3.198E+11 1.36E-02 1.36E-02 2.5E-02 2 2Po: 3 8 2Se: 7 168.7501 210.9376 1.306E+11 3.04E-03 3.05E-03 1.6E-01 2 2Po: 3 10 2De: 9 168.7501 210.9380 1.045E+12 1.22E-01 1.22E-01 2.7E-03 3 2Se: 2 6 2Po: 5 168.7501 200.0002 1.137E+12 4.35E-01 4.35E-01 2.3E-03 3 2Se: 2 9 2Po: 8 168.7501 210.9376 4.897E+11 1.03E-01 1.03E-01 9.7E-03 4 2De: 6 7 2Fo:10 200.0001 210.9376 6.984E+11 1.02E+00 1.02E+00 0.0E+00 4 2De: 6 9 2Po: 8 200.0001 210.9376 1.760E+10 1.10E-02 1.10E-02 0.0E+00 5 2Se: 4 9 2Po: 8 200.0001 210.9376 1.553E+11 4.85E-01 4.85E-01 2.1E-03 6 2Po: 5 8 2Se: 7 200.0002 210.9376 9.295E+10 3.23E-02 3.23E-02 0.0E+00 6 2Po: 5 10 2De: 9 200.0002 210.9380 3.565E+11 6.18E-01 6.18E-01 8.1E-04 7 2Fo:10 10 2De: 9 210.9376 210.9380 7.128E-02 5.00E-05 0.00E+00 1.0E+02 9 2Po: 8 10 2De: 9 210.9376 210.9380 6.673E-02 1.40E-04 1.33E-04 2.4E+00 LS transitions: Number of oscillator strengths = 16 Comparison of LS term energies: relativistic(r) & pure LS: Expt theory %diff config term E(Ry) term E(LSr) CF term E(LS) CF 1 1s 2S0 0.0000 2Se 0.0000 1 2Se 0.0000 1 0.00 2 2p 2P1 169.2815 2Se 169.2150 2 2Po 168.7501 3 0.04 3 2s 2S0 169.1743 2Po 169.3268 3 2Se 168.7501 2 0.09 4 3p 2P1 200.5879 2Se 200.6010 4 2De 200.0001 6 0.01 5 3s 2S0 200.5562 2Po 200.6339 5 2Se 200.0001 4 0.04 6 3d 2D0 200.6147 2De 200.6603 6 2Po 200.0002 5 0.02 7 4p 2P1 211.5467 2Se 211.5791 7 2Fo 210.9376 10 0.02 8 4s 2S0 211.5333 2Po 211.5928 8 2Se 210.9376 7 0.03 9 4d 2D0 211.5580 2De 211.6042 9 2Po 210.9376 8 0.02 10 4f 2F1 211.5628 2Fo 211.6087 10 2De 210.9380 9 0.02 ****************************************************************************** 4) Fine Structure energies : --------------------------- ie -> energy position number SLP (cf) -> SLpi symmetry belonging to configuration cf of Table 1 Fine structure energy levels for which allowed E1 and forbidden (E2,E3,M1,M2) transitions are presented. The indices (cf) correspond to cofigurations numbers 2J -> 2 times total angular momentum k*cm -> k momentum in cm (ignore the column) Ec(Ry) -> calculated energies (relative) SLP -> Symmetry in numerical notation (sllp: s=2S+1, ll=L, p=parity, 0=even 1=odd) if the level has been observed E(Ry) -> Energies (relative) that were used in the transitions -------------------------------------------------------------------- Number of fine structure levels = 16 Number of default fine structure levels = 16 Fine Structure energies: relativistic(BP): Theory Expt(+Theo with 0% diff) ie SLp(cf#) 2J k*cm E(Ry) cfg SLP E(Ry) %df 1 2Se( 1) 1 0.0000E+00 0.0000E+00 1s 2000 0.0000E+00 0.0 2 2Po( 3) 1 1.8569E+07 1.6921E+02 2p 2011 1.6917E+02 0.0 3 2Se( 2) 1 1.8569E+07 1.6921E+02 2s 2000 1.6917E+02 0.0 4 2Po( 3) 3 1.8588E+07 1.6938E+02 2p 2011 1.6934E+02 0.0 5 2Po( 5) 1 2.2013E+07 2.0060E+02 3p 2011 2.0055E+02 0.0 6 2Se( 4) 1 2.2013E+07 2.0060E+02 3s 2000 2.0056E+02 0.0 7 2De( 6) 3 2.2019E+07 2.0065E+02 3d 2020 2.0060E+02 0.0 8 2Po( 5) 3 2.2019E+07 2.0065E+02 3p 2011 2.0060E+02 0.0 9 2De( 6) 5 2.2021E+07 2.0067E+02 3d 2020 2.0062E+02 0.0 10 2Po( 8) 1 2.3218E+07 2.1158E+02 4p 2011 2.1153E+02 0.0 11 2Se( 7) 1 2.3218E+07 2.1158E+02 4s 2000 2.1153E+02 0.0 12 2Po( 8) 3 2.3220E+07 2.1160E+02 4p 2011 2.1155E+02 0.0 13 2De( 9) 3 2.3220E+07 2.1160E+02 4d 2020 2.1155E+02 0.0 14 2Fo(10) 5 2.3221E+07 2.1161E+02 4f 2031 2.1156E+02 0.0 15 2De( 9) 5 2.3221E+07 2.1161E+02 4d 2020 2.1156E+02 0.0 16 2Fo(10) 7 2.3222E+07 2.1161E+02 4f 2031 2.1156E+02 0.0 level 3 = 2Se(J2= 1), cnf = 2 has the largest % diff= 16 - PQN of the outer electron of the levels: 1 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 ****************************************************************************** 5) Allowed E1 transitions with same spin multiplicity - E1d ------------------------------------------------------------------------ (ignore the negative signs, for internal purpose, in linestrengths S): Explanantion: ------------- Ni, Nj -> energy level number in Table 4 SLpC -> symmetry SLpi of configuration C wl -> Transition wavelength Ei, Ej -> Energies of levels in Rydberg fij -> oscillator strength S -> line strength for E1 transitions aij -> Radiative decay rate/ Transition probability ---------------------------------------------------------- Dipole allowed E1d fine structure transitions in Breit-Pauli approx: Ni Nj SLpCi SLpCj gi gj wl(A) Ei(Ry) Ej(Ry) fij S aji(s-1) 1 2 2Se 1 2Po 3 2 2 5.39 0.00 169.17 1.37E-01 4.870E-03 3.16E+13 1 4 2Se 1 2Po 3 2 4 5.38 0.00 169.34 2.74E-01 9.715E-03 3.16E+13 3 4 2Se 2 2Po 3 2 4 5360.39 169.17 169.34 4.52E-03 1.597E-01 5.25E+05 1 5 2Se 1 2Po 5 2 2 4.54 0.00 200.55 2.55E-02 7.631E-04 8.24E+12 3 5 2Se 2 2Po 5 2 2 29.04 169.17 200.55 1.44E-01 2.745E-02 1.14E+12 2 6 2Po 3 2Se 4 2 2 29.03 169.17 200.56 1.31E-02 2.510E-03 1.04E+11 4 6 2Po 3 2Se 4 4 2 29.19 169.34 200.56 1.39E-02 5.333E-03 2.17E+11 2 7 2Po 3 2De 6 2 4 28.99 169.17 200.60 6.90E-01 1.317E-01 2.74E+12 4 7 2Po 3 2De 6 4 4 29.15 169.34 200.60 6.94E-02 2.664E-02 5.45E+11 5 7 2Po 5 2De 6 2 4 18225.34 200.55 200.60 5.00E-03 6.002E-01 5.02E+04 1 8 2Se 1 2Po 5 2 4 4.54 0.00 200.60 5.16E-02 1.542E-03 8.33E+12 3 8 2Se 2 2Po 5 2 4 28.99 169.17 200.60 2.84E-01 5.425E-02 1.13E+12 6 8 2Se 4 2Po 5 2 4 22781.68 200.56 200.60 6.39E-03 9.590E-01 4.11E+04 4 9 2Po 3 2De 6 4 6 29.13 169.34 200.62 6.24E-01 2.396E-01 3.27E+12 8 9 2Po 5 2De 6 4 6 45563.35 200.60 200.62 1.80E-03 1.080E+00 3.85E+03 1 10 2Se 1 2Po 8 2 2 4.31 0.00 211.53 8.94E-03 2.535E-04 3.21E+12 3 10 2Se 2 2Po 8 2 2 21.51 169.17 211.53 3.29E-02 4.658E-03 4.74E+11 6 10 2Se 4 2Po 8 2 2 83.07 200.56 211.53 1.59E-01 8.684E-02 1.53E+11 7 10 2De 6 2Po 8 4 2 83.37 200.60 211.53 9.23E-03 1.014E-02 1.77E+10 2 11 2Po 3 2Se 7 2 2 21.51 169.17 211.53 2.61E-03 3.703E-04 3.77E+10 4 11 2Po 3 2Se 7 4 2 21.60 169.34 211.53 2.96E-03 8.426E-04 8.47E+10 5 11 2Po 5 2Se 7 2 2 82.99 200.55 211.53 3.09E-02 1.690E-02 3.00E+10 8 11 2Po 5 2Se 7 4 2 83.37 200.60 211.53 3.26E-02 3.575E-02 6.25E+10 1 12 2Se 1 2Po 8 2 4 4.31 0.00 211.55 1.83E-02 5.179E-04 3.28E+12 3 12 2Se 2 2Po 8 2 4 21.50 169.17 211.55 6.60E-02 9.346E-03 4.76E+11 6 12 2Se 4 2Po 8 2 4 82.92 200.56 211.55 3.14E-01 1.715E-01 1.52E+11 7 12 2De 6 2Po 8 4 4 83.22 200.60 211.55 1.79E-03 1.956E-03 1.72E+09 9 12 2De 6 2Po 8 6 4 83.37 200.62 211.55 1.10E-02 1.811E-02 1.58E+10 11 12 2Se 7 2Po 8 2 4 45563.35 211.53 211.55 1.07E-02 3.208E+00 1.72E+04 2 13 2Po 3 2De 9 2 4 21.50 169.17 211.55 1.20E-01 1.699E-02 8.65E+11 4 13 2Po 3 2De 9 4 4 21.59 169.34 211.55 1.20E-02 3.423E-03 1.72E+11 5 13 2Po 5 2De 9 2 4 82.84 200.55 211.55 6.08E-01 3.315E-01 2.95E+11 8 13 2Po 5 2De 9 4 4 83.22 200.60 211.55 6.16E-02 6.746E-02 5.93E+10 10 13 2Po 8 2De 9 2 4 45563.35 211.53 211.55 8.56E-03 2.569E+00 1.38E+04 7 14 2De 6 2Fo10 4 6 83.14 200.60 211.56 1.01E+00 1.111E+00 6.53E+11 9 14 2De 6 2Fo10 6 6 83.30 200.62 211.56 4.84E-02 7.958E-02 4.65E+10 13 14 2De 9 2Fo10 4 6 91126.71 211.55 211.56 2.25E-03 2.694E+00 1.20E+03 4 15 2Po 3 2De 9 4 6 21.58 169.34 211.56 1.09E-01 3.096E-02 1.04E+12 8 15 2Po 5 2De 9 4 6 83.14 200.60 211.56 5.53E-01 6.059E-01 3.56E+11 12 15 2Po 8 2De 9 4 6 91126.71 211.55 211.56 3.84E-03 4.613E+00 2.06E+03 9 16 2De 6 2Fo10 6 8 83.30 200.62 211.56 9.67E-01 1.592E+00 6.97E+11 15 16 2De 9 2Fo10 6 8 287849.32 211.56 211.56 6.76E-04 3.846E+00 4.08E+01 Number of non-zero E1 transitions = 42 Number of dipole transitions, E1d = 42 Number of lines in the table = 65 ************************************************************************* 6) Allowed E1 transitions with intercombination spin multiplicity - E1i Explanantion: ------------- Ni, Nj -> energy level number in Table 4 SLpC -> symmetry SLpi of configuration C wl -> Transition wavelength Ei, Ej -> Energies of levels in Rydberg fij -> oscillator strength S -> line strength for E1 transitions aij -> Radiative decay rate/ Transition probability ---------------------------------------------------------- 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 non-zero E1 transitions = 42 Number of intercombination transitions, E1i = 0 Number of lines in the table = 65 *******************************************************************************" 7) Forbidden E3 and M2 transitions in Breit-Pauli approximation ------------------------------------------------------------------------ (ignore the negative signs, for internal purpose, in linestrengths S): Explanantion: ------------- Ni, Nj -> energy level number in Table 4 SLpC -> symmetry SLpi of configuration C gi,gj -> statistical weight factors of initial and final states wl = Transition wavelengths Ei,Ej -> level energies of initial and final state SE3, SM2 -> line strengths for E3, M2 transitions AE3, AM2 -> Radiative Decay Rates for E3, M2 transitions ---------------------------------------------------------- Forbidden octu E3 and quadrupole M2 transitions in Breit-Pauli approximation: Ni Nj SLpCi SLpCj gi gj wl(A) Ei(Ry) Ej(Ry) SE3 AE3(s-1) SM2 AM2(s-1) 2 9 2Po 3 2De 6 2 6 28.98 1.692E+02 2.006E+02 8.36E-03 5.11E+04 3.37E+00 4.10E+05 5 9 2Po 5 2De 6 2 6 13018.10 2.006E+02 2.006E+02 2.59E-01 4.29E-13 1.54E+01 1.02E-07 9 10 2De 6 2Po 8 6 2 83.53 2.006E+02 2.115E+02 1.66E-01 1.84E+03 2.67E-01 4.89E+02 1 14 2Se 1 2Fo10 2 6 4.31 0.000E+00 2.116E+02 1.20E-08 4.58E+04 0.00E+00 0.00E+00 3 14 2Se 2 2Fo10 2 6 21.50 1.692E+02 2.116E+02 6.62E-03 3.27E+05 0.00E+00 0.00E+00 6 14 2Se 4 2Fo10 2 6 82.84 2.006E+02 2.116E+02 7.48E-01 2.93E+03 0.00E+00 0.00E+00 11 14 2Se 7 2Fo10 2 6 30375.57 2.115E+02 2.116E+02 3.73E+00 1.64E-14 0.00E+00 0.00E+00 2 15 2Po 3 2De 9 2 6 21.50 1.692E+02 2.116E+02 1.09E-05 5.38E+02 4.37E-01 2.37E+05 5 15 2Po 5 2De 9 2 6 82.77 2.006E+02 2.116E+02 7.14E-01 2.81E+03 8.47E+00 5.42E+03 10 15 2Po 8 2De 9 2 6 30375.57 2.115E+02 2.116E+02 1.24E+01 5.45E-14 6.58E+01 6.32E-09 1 16 2Se 1 2Fo10 2 8 4.31 0.000E+00 2.116E+02 1.60E-08 4.58E+04 0.00E+00 0.00E+00 3 16 2Se 2 2Fo10 2 8 21.50 1.692E+02 2.116E+02 8.82E-03 3.27E+05 0.00E+00 0.00E+00 6 16 2Se 4 2Fo10 2 8 82.84 2.006E+02 2.116E+02 9.97E-01 2.93E+03 0.00E+00 0.00E+00 7 16 2De 6 2Fo10 4 8 83.14 2.006E+02 2.116E+02 2.73E-01 7.80E+02 2.71E+01 1.27E+04 11 16 2Se 7 2Fo10 2 8 30375.57 2.115E+02 2.116E+02 4.98E+00 1.64E-14 0.00E+00 0.00E+00 13 16 2De 9 2Fo10 4 8 91126.71 2.116E+02 2.116E+02 3.42E+00 5.15E-18 6.57E+01 1.95E-11 Number of transitions: E3 = 16, M2 = 8, Total E3+M2 = 24 Total number of lines of M2/E3 transitions = 16 ***************************************************************************** 8) Forbidden E2 and M1 transitions in Breit-Pauli approximation ------------------------------------------------------------------------ (ignore the negative signs, for internal purpose, in linestrengths S): Explanantion: ------------- Ni, Nj -> energy level number in Table 4 SLpC -> symmetry SLpi of configuration C gi,gj -> statistical weight factors of initial and final states wl = Transition wavelengths Ei,Ej -> level energies of initial and final state SE2, SM1 -> line strengths for E2, M1 transitions AE2, AM1 -> radiative decay rates for E2, M1 transitions ---------------------------------------------------------- Forbidden quad E2 and dipoe M1 transitions in Breit-Pauli approximation: Ni Nj SLpCi SLpCj gi gj wl(A) Ei(Ry) Ej(Ry) SE2 AE2(s-1) SM1 AM1(s-1) 1 3 2Se 1 2Se 2 2 2 5.39 0.000E+00 1.692E+02 0.00E+00 0.00E+00 1.70E-05 1.47E+06 2 4 2Po 3 2Po 3 2 4 5360.39 1.692E+02 1.693E+02 9.39E-03 8.91E-04 1.33E+00 5.82E+01 2 5 2Po 3 2Po 5 2 2 29.04 1.692E+02 2.006E+02 0.00E+00 0.00E+00 5.15E-07 2.84E+02 4 5 2Po 3 2Po 5 4 2 29.20 1.693E+02 2.006E+02 6.85E-03 2.71E+08 1.49E-05 8.10E+03 1 6 2Se 1 2Se 4 2 2 4.54 0.000E+00 2.006E+02 0.00E+00 0.00E+00 4.73E-06 6.80E+05 3 6 2Se 2 2Se 4 2 2 29.03 1.692E+02 2.006E+02 0.00E+00 0.00E+00 1.97E-06 1.08E+03 1 7 2Se 1 2De 6 2 4 4.54 0.000E+00 2.006E+02 3.20E-05 6.94E+09 1.50E-07 1.08E+04 3 7 2Se 2 2De 6 2 4 28.99 1.692E+02 2.006E+02 2.87E-02 5.88E+08 4.30E-07 1.19E+02 6 7 2Se 4 2De 6 2 4 22781.68 2.006E+02 2.006E+02 2.12E-01 1.45E-05 1.53E-08 8.74E-09 2 8 2Po 3 2Po 5 2 4 28.99 1.692E+02 2.006E+02 6.61E-03 1.35E+08 6.17E-06 1.71E+03 4 8 2Po 3 2Po 5 4 4 29.15 1.693E+02 2.006E+02 6.79E-03 1.36E+08 7.51E-06 2.04E+03 5 8 2Po 5 2Po 5 2 4 18225.34 2.006E+02 2.006E+02 3.39E-01 7.08E-05 1.33E+00 1.48E+00 1 9 2Se 1 2De 6 2 6 4.54 0.000E+00 2.006E+02 4.79E-05 6.94E+09 0.00E+00 0.00E+00 3 9 2Se 2 2De 6 2 6 28.98 1.692E+02 2.006E+02 4.30E-02 5.90E+08 0.00E+00 0.00E+00 6 9 2Se 4 2De 6 2 6 15187.78 2.006E+02 2.006E+02 3.19E-01 1.11E-04 0.00E+00 0.00E+00 7 9 2De 6 2De 6 4 6 45563.35 2.006E+02 2.006E+02 7.15E-02 1.02E-07 2.40E+00 1.14E-01 2 10 2Po 3 2Po 8 2 2 21.51 1.692E+02 2.115E+02 0.00E+00 0.00E+00 1.57E-07 2.13E+02 4 10 2Po 3 2Po 8 4 2 21.60 1.693E+02 2.115E+02 6.14E-04 1.10E+08 3.58E-06 4.79E+03 5 10 2Po 5 2Po 8 2 2 82.99 2.006E+02 2.115E+02 0.00E+00 0.00E+00 1.54E-07 3.64E+00 8 10 2Po 5 2Po 8 4 2 83.37 2.006E+02 2.115E+02 1.38E-01 2.88E+07 1.35E-05 3.14E+02 1 11 2Se 1 2Se 7 2 2 4.31 0.000E+00 2.115E+02 0.00E+00 0.00E+00 2.73E-06 4.61E+05 3 11 2Se 2 2Se 7 2 2 21.51 1.692E+02 2.115E+02 0.00E+00 0.00E+00 7.22E-07 9.78E+02 6 11 2Se 4 2Se 7 2 2 83.07 2.006E+02 2.115E+02 0.00E+00 0.00E+00 4.89E-07 1.15E+01 7 11 2De 6 2Se 7 4 2 83.37 2.006E+02 2.115E+02 2.21E-02 4.62E+06 6.58E-11 1.53E-03 9 11 2De 6 2Se 7 6 2 83.53 2.006E+02 2.115E+02 3.39E-02 7.00E+06 0.00E+00 0.00E+00 2 12 2Po 3 2Po 8 2 4 21.50 1.692E+02 2.116E+02 5.46E-04 4.99E+07 1.19E-06 8.09E+02 4 12 2Po 3 2Po 8 4 4 21.59 1.693E+02 2.116E+02 6.19E-04 5.54E+07 2.42E-06 1.62E+03 5 12 2Po 5 2Po 8 2 4 82.84 2.006E+02 2.116E+02 1.33E-01 1.43E+07 8.80E-06 1.04E+02 8 12 2Po 5 2Po 8 4 4 83.22 2.006E+02 2.116E+02 1.37E-01 1.44E+07 2.27E-06 2.66E+01 10 12 2Po 8 2Po 8 2 4 45563.35 2.115E+02 2.116E+02 3.80E+00 8.13E-06 1.33E+00 9.50E-02 1 13 2Se 1 2De 9 2 4 4.31 0.000E+00 2.116E+02 1.68E-05 4.77E+09 5.97E-08 5.03E+03 3 13 2Se 2 2De 9 2 4 21.50 1.692E+02 2.116E+02 6.01E-04 5.49E+07 1.16E-07 7.87E+01 6 13 2Se 4 2De 9 2 4 82.92 2.006E+02 2.116E+02 4.00E-01 4.29E+07 4.20E-08 4.97E-01 7 13 2De 6 2De 9 4 4 83.22 2.006E+02 2.116E+02 8.96E-02 9.43E+06 8.99E-07 1.05E+01 9 13 2De 6 2De 9 6 4 83.37 2.006E+02 2.116E+02 3.88E-02 4.04E+06 2.93E-06 3.41E+01 11 13 2Se 7 2De 9 2 4 45563.35 2.115E+02 2.116E+02 3.04E+00 6.51E-06 9.75E-09 6.95E-10 2 14 2Po 3 2Fo10 2 6 21.50 1.692E+02 2.116E+02 9.09E-03 5.54E+08 0.00E+00 0.00E+00 4 14 2Po 3 2Fo10 4 6 21.58 1.693E+02 2.116E+02 2.62E-03 1.57E+08 1.18E-07 5.28E+01 5 14 2Po 5 2Fo10 2 6 82.77 2.006E+02 2.116E+02 7.24E-01 5.22E+07 0.00E+00 0.00E+00 8 14 2Po 5 2Fo10 4 6 83.14 2.006E+02 2.116E+02 2.09E-01 1.47E+07 1.78E-07 1.40E+00 10 14 2Po 8 2Fo10 2 6 30375.57 2.115E+02 2.116E+02 2.13E+00 2.31E-05 0.00E+00 0.00E+00 12 14 2Po 8 2Fo10 4 6 91126.71 2.116E+02 2.116E+02 6.08E-01 2.71E-08 4.09E-09 2.43E-11 1 15 2Se 1 2De 9 2 6 4.31 0.000E+00 2.116E+02 2.53E-05 4.78E+09 0.00E+00 0.00E+00 3 15 2Se 2 2De 9 2 6 21.50 1.692E+02 2.116E+02 9.13E-04 5.57E+07 0.00E+00 0.00E+00 6 15 2Se 4 2De 9 2 6 82.84 2.006E+02 2.116E+02 6.00E-01 4.30E+07 0.00E+00 0.00E+00 7 15 2De 6 2De 9 4 6 83.14 2.006E+02 2.116E+02 3.83E-02 2.70E+06 9.08E-07 7.10E+00 9 15 2De 6 2De 9 6 6 83.30 2.006E+02 2.116E+02 1.55E-01 1.08E+07 4.50E-06 3.50E+01 11 15 2Se 7 2De 9 2 6 30375.57 2.115E+02 2.116E+02 4.57E+00 4.94E-05 0.00E+00 0.00E+00 13 15 2De 9 2De 9 4 6 91126.71 2.116E+02 2.116E+02 1.15E+00 5.11E-08 2.40E+00 1.43E-02 4 16 2Po 3 2Fo10 4 8 21.58 1.693E+02 2.116E+02 1.57E-02 7.05E+08 0.00E+00 0.00E+00 8 16 2Po 5 2Fo10 4 8 83.14 2.006E+02 2.116E+02 1.25E+00 6.62E+07 0.00E+00 0.00E+00 12 16 2Po 8 2Fo10 4 8 91126.71 2.116E+02 2.116E+02 3.65E+00 1.22E-07 0.00E+00 0.00E+00 14 16 2Fo10 2Fo10 6 8 259614.38 2.116E+02 2.116E+02 3.90E-01 6.95E-11 3.43E+00 6.60E-04 Number of transitions: E2 = 44, M1 = 39, Total E2+M1 = 83 Total number of transitions lines (including non-spectroscopic) = 53 NT= total number of forbidden (E2,M1,E3,M2) transitions = 83 + 24 = 107 Net allowed (E1) and forbidden (E2,M1,E3,M2) transitions = = 42 + 107 = 149