c ********************************** 786 *************************c c Ref: "Astronomy and Cancer Research: X-Rays and Nanotechnology from Black Holes to Cancer Therapy", A.K. Pradhan and S.N. Nahar, in "New Trends in Atomic and Molecular Physics Advanced Technological Applications", Springer Series on Atomic, Optical, and Plasma Physics 76 (Editor Man Mohan, Springer-verlag, Berlin Heidelberg, 2013, DOI 10.1007/978-3-642-38167-6_1), p. 253-265 c c ****************************************************************** c Zr39+: 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: Zr39+ + h\nu <-> Zr39+* File contents : -------------- 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 **************************************************************************** i) Table of Configurations and Thomas-Fermi scaling parameters --------------------------------------------------------------- Ion: nz = 40, 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 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) **************************************************************************** 2) Table of LS term energies ------------------- LS energies: i SLP E(Rel,Ry) cfg# 1 2Se 0.000000 1 2 2Se 1200.004082 2 3 2Po 1200.004097 3 4 2De 1422.226135 6 5 2Po 1422.226225 5 6 2Se 1422.226258 4 7 2Fo 1500.003915 10 8 2De 1500.003915 9 9 2Po 1500.005409 8 10 2Se 1500.006705 7 Number of first LS terms optimized = 10 ************************************************************************* 3) Table of LS Multiplets: ------------------ Transitions in pure LS coupling - Oscillator Strengths: Ni LSi:CFi Nf LSf:CFf Ei Ef aji(s-1) fL fV %diff 1 2Se: 1 3 2Po: 3 0.0000 1200.0041 1.605E+15 4.16E-01 4.16E-01 0.0E+00 1 2Se: 1 5 2Po: 5 0.0000 1422.2262 4.284E+14 7.91E-02 7.91E-02 0.0E+00 1 2Se: 1 9 2Po: 8 0.0000 1500.0054 1.747E+14 2.90E-02 2.90E-02 1.7E-02 2 2Se: 2 5 2Po: 5 1200.0041 1422.2262 5.750E+13 4.35E-01 4.35E-01 2.3E-03 2 2Se: 2 9 2Po: 8 1200.0041 1500.0054 2.477E+13 1.03E-01 1.03E-01 9.7E-03 3 2Po: 3 4 2De: 6 1200.0041 1422.2261 1.656E+14 6.96E-01 6.96E-01 4.8E-04 3 2Po: 3 6 2Se: 4 1200.0041 1422.2263 1.617E+13 1.36E-02 1.36E-02 2.5E-02 3 2Po: 3 8 2De: 9 1200.0041 1500.0039 5.283E+13 1.22E-01 1.22E-01 0.0E+00 3 2Po: 3 10 2Se: 7 1200.0041 1500.0067 6.605E+12 3.05E-03 3.05E-03 0.0E+00 4 2De: 6 7 2Fo:10 1422.2261 1500.0039 3.532E+13 1.02E+00 1.02E+00 0.0E+00 4 2De: 6 9 2Po: 8 1422.2261 1500.0054 8.903E+11 1.10E-02 1.10E-02 0.0E+00 5 2Po: 5 8 2De: 9 1422.2262 1500.0039 1.803E+13 6.18E-01 6.18E-01 2.7E-04 5 2Po: 5 10 2Se: 7 1422.2262 1500.0067 4.702E+12 3.23E-02 3.23E-02 1.6E-02 6 2Se: 4 9 2Po: 8 1422.2263 1500.0054 7.852E+12 4.85E-01 4.85E-01 1.0E-03 8 2De: 9 9 2Po: 8 1500.0039 1500.0054 1.606E+00 5.00E-05 0.00E+00 1.0E+02 9 2Po: 8 10 2Se: 7 1500.0054 1500.0067 1.968E+00 5.00E-05 1.67E-05 5.0E+01 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 2Se 0.0000 1 2Se 0.0000 1 2 2Se 1223.9777 2 2Se 1200.0041 2 3 2Po 1229.4776 3 2Po 1200.0041 3 4 2Se 1453.1493 4 2De 1422.2261 6 5 2Po 1454.6788 5 2Po 1422.2262 5 6 2De 1455.9900 6 2Se 1422.2263 4 7 2Se 1532.9656 7 2Fo 1500.0039 10 8 2Po 1533.5620 8 2De 1500.0039 9 9 2De 1534.0815 9 2Po 1500.0054 8 10 2Fo 1534.3204 10 2Se 1500.0067 7 ****************************************************************************** 4) Table of Fine Structure energies : --------------------------- ie -> energy position number SLP (cf) -> SLpi symmetry belonging to configuration 1 of Table i Fine structure energy levels of Fe~XV for which 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) cfg -> configuration only for observed levels given in NIST compilation (if available) 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) -> Final energies (relative) that were used in the transitions df -> percent difference between calculated and available experimental energies ----------------------------------------------------- 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) 2 0.0 0.00000E+00 2 2Po( 3) 2 134282020.0 1.22367E+03 3 2Se( 2) 2 134316026.0 1.22398E+03 4 2Po( 3) 4 135238337.0 1.23238E+03 5 2Po( 5) 2 159454021.0 1.45305E+03 6 2Se( 4) 2 159464701.0 1.45315E+03 7 2De( 6) 4 159720544.0 1.45548E+03 8 2Po( 5) 4 159721797.0 1.45549E+03 9 2De( 6) 6 159813678.0 1.45633E+03 10 2Po( 8) 2 168219140.0 1.53293E+03 11 2Se( 7) 2 168223525.0 1.53297E+03 12 2De( 9) 4 168323083.0 1.53387E+03 13 2Po( 8) 4 168323896.0 1.53388E+03 14 2Fo(10) 6 168361066.0 1.53422E+03 15 2De( 9) 6 168361246.0 1.53422E+03 16 2Fo(10) 8 168380544.0 1.53440E+03 ****************************************************************************** 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 ii 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 0.74 0.00 1223.67 1.29E-01 6.315E-04 1.55E+15 2 3 2Po 3 2Se 2 2 2 2940 1223.67 1223.98 5.59E-04 1.081E-02 4.31E+05 1 4 2Se 1 2Po 3 2 4 0.74 0.00 1232.38 2.55E-01 1.241E-03 1.56E+15 3 4 2Se 2 2Po 3 2 4 108.42 1223.98 1232.38 3.11E-02 2.218E-02 8.81E+09 1 5 2Se 1 2Po 5 2 2 0.63 0.00 1453.05 2.05E-02 8.483E-05 3.48E+14 3 5 2Se 2 2Po 5 2 2 3.98 1223.98 1453.05 1.35E-01 3.547E-03 5.71E+13 2 6 2Po 3 2Se 4 2 2 3.97 1223.67 1453.15 1.03E-02 2.696E-04 4.36E+12 4 6 2Po 3 2Se 4 4 2 4.13 1232.38 1453.15 1.54E-02 8.380E-04 1.21E+13 5 6 2Po 5 2Se 4 2 2 9363 1453.05 1453.15 1.07E-03 6.623E-02 8.17E+04 2 7 2Po 3 2De 6 2 4 3.93 1223.67 1455.48 6.56E-01 1.697E-02 1.42E+14 4 7 2Po 3 2De 6 4 4 4.08 1232.38 1455.48 6.83E-02 3.673E-03 2.73E+13 5 7 2Po 5 2De 6 2 4 375.20 1453.05 1455.48 3.42E-02 8.448E-02 8.10E+08 1 8 2Se 1 2Po 5 2 4 0.63 0.00 1455.49 4.47E-02 1.843E-04 3.80E+14 3 8 2Se 2 2Po 5 2 4 3.94 1223.98 1455.49 2.52E-01 6.527E-03 5.42E+13 6 8 2Se 4 2Po 5 2 4 388.96 1453.15 1455.49 5.24E-02 1.341E-01 1.15E+09 7 8 2De 6 2Po 5 4 4 79822 1455.48 1455.49 1.59E-05 1.668E-02 1.66E+01 4 9 2Po 3 2De 6 4 6 4.07 1232.38 1456.33 6.14E-01 3.292E-02 1.65E+14 8 9 2Po 5 2De 6 4 6 1088 1455.49 1456.33 1.06E-02 1.515E-01 3.97E+07 1 10 2Se 1 2Po 8 2 2 0.59 0.00 1532.93 5.27E-03 2.062E-05 9.94E+13 3 10 2Se 2 2Po 8 2 2 2.95 1223.98 1532.93 2.56E-02 4.970E-04 1.96E+13 6 10 2Se 4 2Po 8 2 2 11.42 1453.15 1532.93 1.45E-01 1.088E-02 7.39E+12 7 10 2De 6 2Po 8 4 2 11.77 1455.48 1532.93 9.47E-03 1.468E-03 9.13E+11 2 11 2Po 3 2Se 7 2 2 2.95 1223.67 1532.97 7.12E-04 1.382E-05 5.47E+11 4 11 2Po 3 2Se 7 4 2 3.03 1232.38 1532.97 2.46E-03 9.820E-05 3.57E+12 5 11 2Po 5 2Se 7 2 2 11.40 1453.05 1532.97 2.36E-02 1.776E-03 1.21E+12 8 11 2Po 5 2Se 7 4 2 11.76 1455.49 1532.97 3.40E-02 5.264E-03 3.28E+12 10 11 2Po 8 2Se 7 2 2 22801 1532.93 1532.97 1.53E-03 2.298E-01 1.96E+04 2 12 2Po 3 2De 9 2 4 2.94 1223.67 1533.87 1.09E-01 2.109E-03 4.21E+13 4 12 2Po 3 2De 9 4 4 3.02 1232.38 1533.87 1.12E-02 4.462E-04 8.18E+12 5 12 2Po 5 2De 9 2 4 11.28 1453.05 1533.87 5.49E-01 4.075E-02 1.44E+13 8 12 2Po 5 2De 9 4 4 11.63 1455.49 1533.87 5.99E-02 9.178E-03 2.96E+12 10 12 2Po 8 2De 9 2 4 962.06 1532.93 1533.87 5.82E-02 3.688E-01 2.10E+08 1 13 2Se 1 2Po 8 2 4 0.59 0.00 1533.88 1.25E-02 4.877E-05 1.18E+14 3 13 2Se 2 2Po 8 2 4 2.94 1223.98 1533.88 5.22E-02 1.011E-03 2.01E+13 6 13 2Se 4 2Po 8 2 4 11.29 1453.15 1533.88 2.67E-01 1.983E-02 6.98E+12 7 13 2De 6 2Po 8 4 4 11.62 1455.48 1533.88 1.51E-03 2.311E-04 7.45E+10 9 13 2De 6 2Po 8 6 4 11.75 1456.33 1533.88 1.10E-02 2.551E-03 7.96E+11 11 13 2Se 7 2Po 8 2 4 996.31 1532.97 1533.88 6.98E-02 4.579E-01 2.34E+08 12 13 2De 9 2Po 8 4 4 123011 1533.87 1533.88 4.49E-05 7.273E-02 1.98E+01 7 14 2De 6 2Fo10 4 6 11.57 1455.48 1534.22 9.96E-01 1.518E-01 3.31E+13 9 14 2De 6 2Fo10 6 6 11.70 1456.33 1534.22 4.78E-02 1.105E-02 2.33E+12 12 14 2De 9 2Fo10 4 6 2632 1533.87 1534.22 1.11E-02 3.832E-01 7.09E+06 4 15 2Po 3 2De 9 4 6 3.02 1232.38 1534.22 1.05E-01 4.156E-03 5.10E+13 8 15 2Po 5 2De 9 4 6 11.57 1455.49 1534.22 5.33E-01 8.124E-02 1.77E+13 13 15 2Po 8 2De 9 4 6 2677 1533.88 1534.22 1.86E-02 6.542E-01 1.15E+07 14 15 2Fo10 2De 9 6 6 558052 1534.22 1534.22 2.46E-06 2.716E-02 5.28E-02 9 16 2De 6 2Fo10 6 8 11.67 1456.33 1534.40 9.59E-01 2.211E-01 3.52E+13 15 16 2De 9 2Fo10 6 8 5181 1534.22 1534.40 5.31E-03 5.432E-01 9.89E+05 Number of non-zero E1 transitions = 48 Number of dipole transitions, E1d = 48 Number of lines in the table = 71 ************************************************************************* 6) Allowed E1 transitions with intercombination spin multiplicity - E1i Explanantion: ------------- Ni, Nj -> energy level number in Table ii 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 = 48 Number of intercombination transitions, E1i = 0 Number of lines in the table = 71 *******************************************************************************" 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 ii 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 3.92 1.224E+03 1.456E+03 1.97E-05 1.46E+08 4.33E-01 1.17E+09 5 9 2Po 5 2De 6 2 6 278.04 1.453E+03 1.456E+03 6.88E-04 5.62E-04 2.18E+00 3.26E+00 9 10 2De 6 2Po 8 6 2 11.90 1.456E+03 1.533E+03 4.57E-04 4.26E+06 4.51E-02 1.41E+06 1 14 2Se 1 2Fo10 2 6 0.59 0.000E+00 1.534E+03 3.54E-08 1.42E+11 0.00E+00 0.00E+00 3 14 2Se 2 2Fo10 2 6 2.94 1.224E+03 1.534E+03 1.93E-05 1.07E+09 0.00E+00 0.00E+00 6 14 2Se 4 2Fo10 2 6 11.24 1.453E+03 1.534E+03 1.86E-03 8.58E+06 0.00E+00 0.00E+00 11 14 2Se 7 2Fo10 2 6 727.06 1.533E+03 1.534E+03 1.06E-02 1.03E-05 0.00E+00 0.00E+00 2 15 2Po 3 2De 9 2 6 2.93 1.224E+03 1.534E+03 1.53E-06 8.54E+07 5.59E-02 6.38E+08 5 15 2Po 5 2De 9 2 6 11.23 1.453E+03 1.534E+03 1.59E-03 7.41E+06 1.02E+00 1.43E+07 10 15 2Po 8 2De 9 2 6 703.70 1.533E+03 1.534E+03 3.50E-02 4.29E-05 9.44E+00 1.36E-01 1 16 2Se 1 2Fo10 2 8 0.59 0.000E+00 1.534E+03 4.72E-08 1.42E+11 0.00E+00 0.00E+00 3 16 2Se 2 2Fo10 2 8 2.94 1.224E+03 1.534E+03 2.57E-05 1.08E+09 0.00E+00 0.00E+00 6 16 2Se 4 2Fo10 2 8 11.22 1.453E+03 1.534E+03 2.48E-03 8.72E+06 0.00E+00 0.00E+00 7 16 2De 6 2Fo10 4 8 11.55 1.455E+03 1.534E+03 7.10E-04 2.04E+06 3.70E+00 3.36E+07 11 16 2Se 7 2Fo10 2 8 636.87 1.533E+03 1.534E+03 1.41E-02 2.61E-05 0.00E+00 0.00E+00 12 16 2De 9 2Fo10 4 8 1740 1.534E+03 1.534E+03 9.55E-03 1.55E-08 9.34E+00 1.09E-03 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 0.74 0.000E+00 1.224E+03 0.00E+00 0.00E+00 9.24E-04 3.02E+10 2 4 2Po 3 2Po 3 2 4 104.57 1.224E+03 1.232E+03 1.76E-04 5.90E+03 1.31E+00 7.73E+06 2 5 2Po 3 2Po 5 2 2 3.97 1.224E+03 1.453E+03 0.00E+00 0.00E+00 2.43E-05 5.24E+06 4 5 2Po 3 2Po 5 4 2 4.13 1.232E+03 1.453E+03 1.36E-04 9.50E+10 7.33E-04 1.40E+08 1 6 2Se 1 2Se 4 2 2 0.63 0.000E+00 1.453E+03 0.00E+00 0.00E+00 3.37E-04 1.84E+10 3 6 2Se 2 2Se 4 2 2 3.98 1.224E+03 1.453E+03 0.00E+00 0.00E+00 9.18E-05 1.97E+07 1 7 2Se 1 2De 6 2 4 0.63 0.000E+00 1.455E+03 6.83E-07 2.98E+12 5.88E-06 1.62E+08 3 7 2Se 2 2De 6 2 4 3.94 1.224E+03 1.455E+03 5.10E-04 2.27E+11 2.22E-05 2.46E+06 6 7 2Se 4 2De 6 2 4 390.86 1.453E+03 1.455E+03 4.10E-03 1.89E+02 9.55E-07 1.08E-01 2 8 2Po 3 2Po 5 2 4 3.93 1.224E+03 1.455E+03 1.05E-04 4.70E+10 2.87E-04 3.19E+07 4 8 2Po 3 2Po 5 4 4 4.08 1.232E+03 1.455E+03 1.29E-04 4.76E+10 3.85E-04 3.81E+07 5 8 2Po 5 2Po 5 2 4 373.45 1.453E+03 1.455E+03 6.46E-03 3.74E+02 1.32E+00 1.72E+05 1 9 2Se 1 2De 6 2 6 0.63 0.000E+00 1.456E+03 1.01E-06 2.95E+12 0.00E+00 0.00E+00 3 9 2Se 2 2De 6 2 6 3.92 1.224E+03 1.456E+03 7.65E-04 2.31E+11 0.00E+00 0.00E+00 6 9 2Se 4 2De 6 2 6 286.55 1.453E+03 1.456E+03 6.25E-03 9.06E+02 0.00E+00 0.00E+00 7 9 2De 6 2De 6 4 6 1073 1.455E+03 1.456E+03 1.39E-03 2.72E-01 2.38E+00 8.66E+03 2 10 2Po 3 2Po 8 2 2 2.95 1.224E+03 1.533E+03 0.00E+00 0.00E+00 5.58E-06 2.94E+06 4 10 2Po 3 2Po 8 4 2 3.03 1.232E+03 1.533E+03 7.60E-06 2.49E+10 1.62E-04 7.86E+07 5 10 2Po 5 2Po 8 2 2 11.41 1.453E+03 1.533E+03 0.00E+00 0.00E+00 6.66E-06 6.05E+04 8 10 2Po 5 2Po 8 4 2 11.77 1.455E+03 1.533E+03 2.66E-03 9.89E+09 5.90E-04 4.88E+06 1 11 2Se 1 2Se 7 2 2 0.59 0.000E+00 1.533E+03 0.00E+00 0.00E+00 6.37E-04 4.09E+10 3 11 2Se 2 2Se 7 2 2 2.95 1.224E+03 1.533E+03 0.00E+00 0.00E+00 4.53E-05 2.38E+07 6 11 2Se 4 2Se 7 2 2 11.42 1.453E+03 1.533E+03 0.00E+00 0.00E+00 2.02E-05 1.83E+05 7 11 2De 6 2Se 7 4 2 11.76 1.455E+03 1.533E+03 4.02E-04 1.50E+09 6.85E-09 5.68E+01 9 11 2De 6 2Se 7 6 2 11.89 1.456E+03 1.533E+03 6.97E-04 2.46E+09 0.00E+00 0.00E+00 1 12 2Se 1 2De 9 2 4 0.59 0.000E+00 1.534E+03 9.22E-07 5.23E+12 1.46E-07 4.69E+06 3 12 2Se 2 2De 9 2 4 2.94 1.224E+03 1.534E+03 6.32E-06 1.21E+10 6.86E-06 1.82E+06 6 12 2Se 4 2De 9 2 4 11.29 1.453E+03 1.534E+03 6.93E-03 1.59E+10 1.98E-06 9.30E+03 7 12 2De 6 2De 9 4 4 11.62 1.455E+03 1.534E+03 1.64E-03 3.25E+09 4.46E-05 1.91E+05 9 12 2De 6 2De 9 6 4 11.75 1.456E+03 1.534E+03 7.53E-04 1.41E+09 1.46E-04 6.05E+05 11 12 2Se 7 2De 9 2 4 1004 1.533E+03 1.534E+03 6.14E-02 2.52E+01 6.16E-07 4.10E-03 2 13 2Po 3 2Po 8 2 4 2.94 1.224E+03 1.534E+03 1.85E-06 3.55E+09 4.49E-05 1.19E+07 4 13 2Po 3 2Po 8 4 4 3.02 1.232E+03 1.534E+03 8.16E-06 1.36E+10 1.33E-04 3.24E+07 5 13 2Po 5 2Po 8 2 4 11.27 1.453E+03 1.534E+03 2.01E-03 4.64E+09 3.72E-04 1.75E+06 8 13 2Po 5 2Po 8 4 4 11.63 1.455E+03 1.534E+03 2.51E-03 4.97E+09 1.11E-04 4.77E+05 10 13 2Po 8 2Po 8 2 4 954.60 1.533E+03 1.534E+03 7.61E-02 4.03E+01 1.33E+00 1.03E+04 2 14 2Po 3 2Fo10 2 6 2.93 1.224E+03 1.534E+03 1.68E-04 2.16E+11 0.00E+00 0.00E+00 4 14 2Po 3 2Fo10 4 6 3.02 1.232E+03 1.534E+03 5.11E-05 5.70E+10 5.78E-06 9.45E+05 5 14 2Po 5 2Fo10 2 6 11.23 1.453E+03 1.534E+03 1.31E-02 2.06E+10 0.00E+00 0.00E+00 8 14 2Po 5 2Fo10 4 6 11.58 1.455E+03 1.534E+03 4.00E-03 5.39E+09 9.16E-06 2.65E+04 10 14 2Po 8 2Fo10 2 6 704.59 1.533E+03 1.534E+03 4.34E-02 7.00E+01 0.00E+00 0.00E+00 13 14 2Po 8 2Fo10 4 6 2690 1.534E+03 1.534E+03 1.22E-02 2.42E-02 2.34E-07 5.40E-05 1 15 2Se 1 2De 9 2 6 0.59 0.000E+00 1.534E+03 1.40E-06 5.29E+12 0.00E+00 0.00E+00 3 15 2Se 2 2De 9 2 6 2.94 1.224E+03 1.534E+03 1.05E-05 1.35E+10 0.00E+00 0.00E+00 6 15 2Se 4 2De 9 2 6 11.24 1.453E+03 1.534E+03 1.03E-02 1.61E+10 0.00E+00 0.00E+00 7 15 2De 6 2De 9 4 6 11.57 1.455E+03 1.534E+03 6.92E-04 9.33E+08 4.42E-05 1.28E+05 9 15 2De 6 2De 9 6 6 11.70 1.456E+03 1.534E+03 2.96E-03 3.78E+09 2.28E-04 6.40E+05 11 15 2Se 7 2De 9 2 6 726.11 1.533E+03 1.534E+03 9.20E-02 1.28E+02 0.00E+00 0.00E+00 12 15 2De 9 2De 9 4 6 2620 1.534E+03 1.534E+03 2.28E-02 5.17E-02 2.39E+00 5.98E+02 4 16 2Po 3 2Fo10 4 8 3.02 1.232E+03 1.534E+03 3.06E-04 2.57E+11 0.00E+00 0.00E+00 8 16 2Po 5 2Fo10 4 8 11.55 1.455E+03 1.534E+03 2.40E-02 2.45E+10 0.00E+00 0.00E+00 13 16 2Po 8 2Fo10 4 8 1765 1.534E+03 1.534E+03 7.29E-02 8.93E-01 0.00E+00 0.00E+00 14 16 2Fo10 2Fo10 6 8 5133 1.534E+03 1.534E+03 7.71E-03 4.54E-04 3.42E+00 8.51E+01 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 = = 48 + 107 = 155