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Electric dipole transitions for highly excited statesin helium-like sulphur

Leyla Ozdemir�, Guldem Urer, Betul Karac-oban

Physics Department, Sakarya University, 54140 Sakarya, Turkey

Received 18 June 2007; received in revised form 8 November 2007; accepted 9 December 2007

Abstract

We have calculated relativistic energies, weighted oscillator strengths and transition probabilities for electric dipole (E1)

transitions among the terms belonging to 1snl (np9, lp3) configurations in helium-like sulphur. The calculations are based

upon the multiconfiguration Hartree–Fock method within the framework of Breit–Pauli relativistic corrections. Our

calculated values are also compared with other experimental and theoretical results.

r 2007 Elsevier Ltd. All rights reserved.

Keywords: MCHF method; Relativistic correction; Transition energies; Wavelengths; Oscillator strengths; Transition probabilities

1. Introduction

Oscillator strengths (f-values) and transition probabilities or lifetime subjects have been frequently studied.These subjects are especially important for astrophysics. For instance, oscillator strengths are needed toconvert amount of absorption into abundances in fields ranging from fusion to interstellar and stellarastrophysics. We learn about the species’ electronic structure from these data. Data about these subjectsincluding theoretical computations, laboratory experiments and astronomical measurements for most atomswere compiled (see, for example, [1–4]).

Some excited states of two-electron atoms have been widely studied in the literature. There are a lot ofstudies for lower states of helium-like sulphur (S XV, Z ¼ 16). Oscillator strength values of 11S, 21P and 23S,and 23P transitions were obtained by Sanders and Scherr [5]. The helium-like sulphur in the solar spectrumwas observed by Walker and Rugge [6]. Drake [7] calculated relativistic magnetic dipole transitions for the 23Sstate. Brown and Cortez [8] obtained oscillator strengths for allowed nd–n0f transitions in the helium-likeisoelectronic sequence. Lifetimes of the 23P2 and 23S1 states by X-ray emission were measured by Cocke et al.[9] and Bednar et al. [10]. Allowed and forbidden radiative transitions were studied with a relativistic versionof the random-phase approximation by Johnson and Lin [11]. Varghese et al. [12] reported measurements ofthe lifetime of the 23P1 state using the trace-of-flight technique. The strengths of various decay modes andenergy splittings of n ¼ 2 multiplets were investigated with RRPA by Lin et al. [13]. Boiko et al. [14] observed

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ing author. Tel.: +90264 2956079; fax: +90 264 2955950.

ess: [email protected] (L. Ozdemir).

s article as: Ozdemir L, et al. Electric dipole transitions for highly excited states in helium-like sulphur. JQSRT (2008),

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the wavelengths and relative intensities of the intercombination lines 33P1-11S0 in the spectra of laser-produced plasma. Lin et al. [15] calculated oscillator strengths for the transitions m3,1S0,1–n3,1P1 (3pm, np5).Mewe and Schrijver [16] evaluated line intensities of all lines for helium-like ions. Drake [17] presentedfrequencies and transition rates in some helium-like ions. Berry et al. [18] analyzed wavelengths and finestructure of 2s–2p transition in two-electron ions and compared them with theory and experiments. Thewavelengths of 23S–23P transitions in S XV were measured by Livingston et al. [19]. Precision wavelengthmeasurements for 23S1–2

3P0,2 transitions and 21P1–11S0 and 23P1–1

1S0 transition in helium-like sulphur werepresented by DeSerio et al. [20] and Schleinkofer et al. [21]. Energy levels for 1snl (n ¼ 2–5) states werecalculated the perturbation method by power series in 1/Z and aZ by Vainshtein and Safronova [22].A theoretical study of two-photon emission rates for the 21S state and n ¼ 1 and 2 states were presented byDrake [23,24]. A comparison between calculated and measured wavelengths of resonance transitions werereported by Aglitsky et al. [25]. The energies of the n ¼ 2 triplet states in helium-like ions were calculated withrelativistic many-body perturbation theory by Johnson and Sapirstein [26]. Berry et al. [27] made a carefulcomparison of the triplet state energies. The results for relativistic configuration–interaction calculations ofn ¼ 2 triplet states of helium-like ions were presented by Chen et al. [28]. Relativistic many-body calculationsof n ¼ 1 and 2 states were observed by Plante et al. [29]. The list of wavelengths, oscillator strengths andstatistical weights for spectral lines arising from the ground state were presented by Verner et al. [30]. Howieet al. [31] measured the wavelengths using photographic spectroscopy of beam foil n ¼ 2 triplet states. Katoet al. [32] reported theoretical atomic data of satellite spectra for helium-like sulphur with different methods.Two-photon decay rates of metastable 21S0 and 23S1 states were presented for helium-like ions in theZ ¼ 2–100 range by Derevianko and Johnson [33]. Safronova and Johnson [34] studied energy levels andautoionizing rates of some levels for helium-like with Z ¼ 4–54 ions. Kimura et al. [35] calculated ratecoefficients for electron impulse excitation of helium-like ions with the Dirac R-matrix approach. Kingstonet al. [36] obtained spontaneous transition rates for E1, M1, E2 and M2 transitions using fully relativisticGRASP and CIV3 codes.

In the theoretical study of atomic structure, there are two interesting subjects: one deals with the electroncorrelation and the other deals with the relativistic effects. In this work, we are interested in both subjectsmentioned above. The work is organized as follows. It is used the multiconfiguration Hartree–Fock (MCHF)approximation within the framework of Breit–Pauli relativistic corrections in helium-like sulphur. We selected1sns (1pnp9) and 1snd (3pnp9) for even-parity states, and 1snp (2pnp9) and 1snf (4pnp9) for odd-paritystates to consider core–valence correlation effects. We obtained the 1526 possible E1 transitions. In otherwords, we report a large-scale calculation for highly excited and ionized sulphur (S XV). The results obtainedfor lower states are compared with other available data and new results for highly excited states are alsopresented.

2. Calculation method

The MCHF approximation is a configuration–interaction method given by Fischer [37]. In thisapproximation the MCHF Hamiltonian is used for obtaining the best radial functions for the set of non-relativistic energies of the interacting terms. Then, the Breit–Pauli wavefunctions are obtained as a linearcombination

CðgJMJÞ ¼XM

i¼1

ciFðgiLiSiJMJ Þ;XM

i¼1

ci ¼ 1,

where FðgLSJMJ Þ are LSJ-coupled configuration state functions (CSFs), that is

FðgLSJMJÞ ¼X

MLMS

hLMLSMSjLSJMJiFðgLMLSMSÞ,

where gi denotes configurations; the orbital Li and the spin Si angular momenta are coupled to give the totalangular momentum J. The mixing (or expansion) coefficients ci are obtained by diagonalizing the Breit–PauliHamiltonian. The radial functions building the CSFs are taken from previous non-relativistic MCHF

Please cite this article as: Ozdemir L, et al. Electric dipole transitions for highly excited states in helium-like sulphur. JQSRT (2008),

doi:10.1016/j.jqsrt.2007.12.009

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calculations and only the expansion coefficients are optimized. The Breit–Pauli Hamiltonian can be written as

HBP ¼ HNR þHRS þHFS,

where HNR is the non-relativistic many-electron Hamiltonian and HRS is the relativistic shift operatorincluding mass correction, one- and two-body Darwin terms, spin–spin contact term and orbit–orbit term, andfine-structure Hamiltonian HFS consists of the spin–orbit, spin–other- orbit and spin–spin terms.

The transition rate (or probability) for emission transition is

Apkðg0J 0; gJÞ ¼ 2Ck½aðEg0J 0 � EgJÞ�2kþ1 Spkðg0J 0; gJÞ

gJ 0,

where Ck ¼ ð2k þ 1Þðk þ 1Þ�

kðð2k þ 1Þ!!Þ2, and Spkðg0J 0; gJÞ, k and gJ 0 denote line strength, rank of a sphericaltensor operator and statistical weight of the upper level, namely gJ 0 ¼ 2J 0 þ 1, respectively. The oscillatorstrength may refer to transition in either absorption or emission. For absorption weighted oscillator strength is

gf pkðgJ; g0J 0Þ ¼

1

aCk½aðEg0J 0 � EgJÞ�

2k�1SpkðgJ; g0J 0Þ.

Most experiments yield the lifetime of the upper level because of easy measuring. In this case, the sum overmultipole transitions to all lower-lying levels must be taken. The lifetime of upper level is

tg0J 0 ¼1

Ppk;gJApkðg0J 0; gJÞ

.

The strongest transitions are the electric dipole (E1) transitions. If p and p0 denote the parity of two levels,then electric multipole operator is in the form

EðkÞ :p0

p¼ ð�1Þk,

where k is angular momentum of the emitted or absorbed photon. The electric dipole operator (E1) combinesstates of different parity.

3. Results and discussion

In this paper, energies of 1sns (n ¼ 1–9) and 1snd (n ¼ 3–9) for even-parity and 1snp(n ¼ 2–9) and 1snf

(n ¼ 4–9) for odd-parity states in S XV are obtained with the MCHF method for radial functions andBreit–Pauli Hamiltonian for relativistic corrections using the MCHF atomic package [38]. Oscillator strengthsand transition probabilities are calculated for the 1526 possible 1snlj21sn0l0j0electric dipole (E1) transitions. InTables 1 and 2, the results obtained are compared with some other theoretical and experimental data inliterature, and new weighted oscillator strengths (gf-values) are also given in Table 3. For simplicity we usedn2Sþ1LJ instead of 1snl2Sþ1LJ spectroscopic notation. And the references for other comparison values aretyped below the tables with superscript lowercase letters. In addition, Table 2 considers the weighted oscillatorstrengths for some other works. This case is indicated in the references (in g, l and j superscripts) below thetable.

Energies (in cm�1) relative to 1s21S belong to levels of even and odd-parity for electric dipole transitions arepresented in Table 1. The core–valence correlation and Breit–Pauli relativistic corrections are included in theseenergies. A good agreement is seen when obtained values are compared with other results. For this reason, theresults for new 1snf (n ¼ 7–9) levels are reliable.

Oscillator strengths, f-values and transition probabilities (or radiative decay rates), Aki (in s�1), for electricdipole transitions are given in Table 2. Only odd-parity states are indicated by ‘‘o’’ superscript. Moreover, thenumbers in brackets represent the power of 10. Our results remain for transitions (gf-values and Aki) arepresented in Table 3.

We carried out calculations for a much longer list of transitions than presented in Tables 2 and 3. Theresults of our calculations in these tables, where we list oscillator strengths and transition probabilities for1s2�1snp (n ¼ 2–9), 1snl–1sn0l0 ((n ¼ 2, n0 ¼ 3–9), (n ¼ 3, n0 ¼ 4–9), (n ¼ 4, n0 ¼ 5–9), (n ¼ 5, n0 ¼ 6–9),


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Table 1

Energies for 1snl (np9, lp3) states in S XV

Levels This work (cm�1) Other works (cm�1)

For even-parity

1 1S0 0.00 0.00a,b,c1,c2,d

2 1S0 19,772,416 19,745,473a,b, 19,746,390c2,d

2 3S1 19,613,661 19,602,076a,b, 19,603,100c2, 19,603,070d

3 1S0 23,253,759 23,231,087a,b, 23,231,200c1, 23,231,940c2,d

3 3S1 23,213,077 23,193,163a,b, 23,193,200c1, 23,194,100c2,d

3 1D2 23,277,572 23,257,195a,b, 23,257,600c1, 23,092,000c1, 23,261,800c2,d

3 3D1 23,274,493 23,254,611a,b, 23,254,700c1, 23,088,900c1

3 3D2 23,274,602 23,254,645a,b, 23,088,900c1, 23,254,200c1

3 3D3 23,276,125 23,256,165a,b, 23,256,100c1, 23,091,300c1, 23,259,500c2,d

4 1S0 24,468,994 24,446,439a, 24,446,600c1

4 3S1 24,451,367 24,431,101a, 24,431,100c1

4 1D2 24,478,494 24,457,576a,b, 24,381,100c1, 24,457,900c1

4 3D1 24,476,941 24,456,527b, 24,379,800c1, 24,456,200c1

4 3D2 24,477,017 24,456,527b, 24,379,800c1, 24,456,200c1

4 3D3 24,477,675 24,457,176a,b, 24,380,800c1, 24,457,200c1

5 1S0 25,029,820 25,007,605a, 25,007,700c1

5 3S1 25,020,286 24,999,972a, 25,000,000c1

5 1D2 25,034,406 25,013,407a, 24,971,900c1, 25,013,500c1

5 3D1 25,033,509 24,971,100c1, 25,012,700c1

5 3D2 25,033556 24,971,100c1, 25,012,700c1

5 3D3 25,033,914 25,013,202a, 24,971,600c1, 25,013,200c1

6 1S0 25,333,978 25,312,000a,c1

6 3S1 25,328,024 25,307,614a, 25,307,600c1

6 1D2 25,336,473 25,315,357a, 25,290,300c1, 25,315,400c1

6 3D1 25,335892 25,289,800c1, 25,314,900c1

6 3D2 25,335,924 25,289,800c1, 25,314,900c1

6 3D3 25,336,148 25,315,239a, 25,290,100c1, 25,315,200c1

7 1S0 25,517,403 25,495,299a, 25,495,300c1

7 3S1 25,513,237 25,492,558a, 25,492,500c1

7 1D2 25,518,871 25,481,100c1, 25,497,400c1

7 3D1 25,518,455 25,480,800c1, 25,497,100c1

7 3D2 25,518,478 25,480,800c1, 25,497,100c1

7 3D3 25,518,635 25,481000c1, 25,497,300c1

8 1S0 25,637,129 25,614,158a, 25,613,900c1

8 3S1 25,633,820 25,612,331a, 25,612,200c1

8 1D2 25,638,034 25,604,300c1, 25,615,500c1

8 3D1 25,637,699 25,604,100c1, 25,615,300c1

8 3D2 25,637,718 25,604100c1, 25,615,300c1

8 3D3 25,637,843 25,604,300c1, 25,615,400c1

9 1S0 25,728,062 25,695,589a, 25,695,400c1

9 3S1 25,722,694 25,694,310a, 25,694,200c1

9 1D2 25,728,771 25,696,500c1, 26,032,200c1

9 3D1 25,728,183 25,696,300c1, 26,056,200c1

9 3D2 25,728,215 25,696,300c1, 25,854,000c1

9 3D3 25,728,432 25,696,400c1, 26,058,300c1

For odd-parity

2 1P1 19,844,007 19,846,285a,b, 19,847,300c2, 19,847,250d

2 3P0 19,732,065 19,734,314a,b

2 3P1 19,735,032 19,737,521a,b, 19,738,500c2, 19,738,530d

2 3P2 19,747,353 19,750,573a,b, 19,751,500c2, 23,235,340d

3 1P1 23,262,385 23,260,416a,b, 23,262,600c1, 23,261,400c2, 23,261,370d

3 3P0 23,226,886 23,229,571a,b, 23,229,800c1

3 3P1 23,227,959 23,230,551a,b, 23,228,600c1, 23,231,500c2, 23,231,480d

3 3P2 23,232,227 23,234,429a,b, 23,234,400c1, 23,235,300c2, 23,235,340d

4 1P1 24,459,505 24,458,842a,b, 24,459,800c1,c2, 24,459,760d

L. Ozdemir et al. / Journal of Quantitative Spectroscopy & Radiative Transfer ] (]]]]) ]]]–]]]4


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Table 1 (continued )

Levels This work (cm�1) Other works (cm�1)

4 3P0 24,443,732 24,446,163a,b, 24,445,300c1

4 3P1 24,444,222 24,446,570a,b, 24,445,300c1

4 3P2 24,446,159 24,448,199a,b, 24,448,300c1, 24,449,100c2, 24,449,120d

4 1F3 24,453,494 24,457,889b, 24,461,800c2,d

4 3F2 24,453,099 24,457,889b

4 3F3 24,453,042 24,457,889b

4 3F4 24,453,442 24,457,889b, 24,460,700c2,d

5 1P1 25,013,833 25,014,007a,b, 25,014,500c1, 25,014,900c2, 25,014,920d

5 3P0 25,005,167 25,007,589a, 25,007,100c1

5 3P1 25,005,439 25,007,798a,b, 25,007,100c1

5 3P2 25,006,510 25,008,632a, 25,008,700c1

5 1F3 25,009,543 25,013,562b, 25,017,400c2, 25,017,420d

5 3F2 25,009,328 25,013,562b

5 3F3 25,009,298 25,013,562b

5 3F4 25,009,513 25,013,562b, 25,016,400c2, 25,016,350d

6 1P1 25,315,105 25,315,693a,b, 25,315,900c1, 25,322,900c2,d

6 3P0 25,309,628 25,312,007a, 25,311,700c1

6 3P1 25,309,800 25,312,128a, 25,311,700c1

6 3P2 25,310,478 25,312,610a, 25,312,600c1

6 1F3 25,311,771 25,315,445b, 25,319,000c2, 25,318,990d

6 3F2 25,311,637 25,315,445b

6 3F3 25,311,619 25,315,445b

6 3F4 25,311,751 25,315,445b, 25,318,000c2, 25,317,960d

7 1P1 25,497,084 25,497,627a,b, 25,497,700c1

7 3P0 25,493,212 25,495,315a, 25,495,100c1

7 3P1 25,493,334 25,495,392a, 25,495,100c1

7 3P2 25,493,813 25,495,695a, 25,495,700c1

7 1F3 25,494,267 –

7 3F2 25,494,173 –

7 3F3 25,494,161 –

7 3F4 25,494,253 –

8 1P1 25,616,094 25,615,718a,b, 25,615,700c1

8 3P0 25,612,991 25,614,174a, 25,613,900c1

8 3P1 25,613,088 25,614,225a, 25,613,900c1

8 3P2 25,613,472 25,614,428a, 25,614,300c1

8 1F3 25,613,409 –

8 3F2 25,613,335 –

8 3F3 25,613,326 –

8 3F4 25,613,398 –

9 1P1 25,708,762 25,696,685a,b, 25,696,600c1

9 3P0 25,703,179 25,695,602a, 25,695,400c1

9 3P1 25,703,343 25,695,638a, 25,695,400c1

9 3P2 25,703,995 25,695,781a, 25,695,700c1

9 1F3 25,702,550 –

9 3F2 25,702,431 –

9 3F3 25,702,417 –

9 3F4 25,702,532 –

aAtomic Line List v.2.04 [1].bNIST Atomic Spectra Database [2].c1,c2CAMDB Atomic spectra [4].dKelly Atomic Line Database [3].

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Table 2

Oscillator strengths, f-values, and transition probabilities, Aki, for E1 transitions in S XV

Transitions f-Values Aki (s�1)

This work Other works This work Other works

1s2�1snp (n ¼ 2–9)1S0–2

1P1o 7.54(�1) 7.67(�1)a, 2.48(�1)b,

7.51(�1) d, 7.508(�1) g,

7.68(�1)h, 7.69(�1)i,

7.509(�1)j, 7.514(�1)c

6.60(13) 6.72(13)a, 6.519(13)b, 6.68(13)b,

6.59(13)d, 6.70(13)f, 6.579(13)g,

6.576(13)j

1S0–23P1

o 6.24(�3) 6.77(�3)d, 6.718(�3)g,

6.379(�3)i, 6.717(�3)j5.40(11) 5.669(11)b, 5.87(11)d, 5.36(11)f,

5.822(11)g, 5.818(11)j, 5.309(11)c

1S0–31P1

o 1.64(�1) 1.53(�1)a, 4.90(�2)b,

1.505(�1)e, 1.579(�1) i,

1.683(�1)j

1.97(13) 1.85(13)a, 1.77(13)b, 2.025(13)j

1S0–33P1

o 1.55(�3) 1.429(�3)i, 1.480(�3)j 1.86(11) 1.776(11)j

1S0–41P1

o 6.56(�2) 5.71(�2)a, 1.81(�2)b,

5.60(�2)e8.73(12) 7.59(12)a, 7.23(12)b

1S0–51P1

o 3.43(�2) 2.76(�2)a, 8.73(�3)b,

2.71(�2)e4.78(12) 3.84(12)a, 3.65(12)b

1S0–61P1

o 2.11(�2) 1.54(�2)a, 4.89(�3)b 3.01(12) 2.20(12)a, 2.089(12)b

1S0–71P1

o 1.46(�2) 9.57(�3)a 2.11(12) 1.38(12)a

1S0–81P1

o 1.15(�2) 6.34(�3)a 1.67(12) 9.25(11)a

1S0–91P1

o 1.96(�2) 4.41(�3)a 2.88(12) 6.48(11)a

1s2l–1s3l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

1P1o 4.04(�1) 4.07(�1)a, 1.35(�1)b,

3.95(�1)e, 4.085(�1)j1.09(12) 1.12(12)a, 1.11(12)b, 1.123(12)j

1S0–3P1

o 4.24(�3) 4.042(�3)j 1.13(10) 1.092(10)j

3S1–1P1

o 1.17(�3) 1.111(�3) j 1.04(10) 9.916(9)j

3S1–3P0

o 4.40(�2) 4.39(�2)a, 1.29(�1)b,

4.155(�2)j1.15(12) 1.16(12)a, 1.13(12)b, 1.093(12)j

3S1–3P1

o 1.30(�1) 1.32(�1)a, 1.29(�1)b,

3.87(�1)e, 1.234(�1)j1.14(12) 1.16(12)a, 1.13(12)b, 1.083(12)j

3S1–3P2

o 2.17(�1) 2.20(�1)a, 1.29(�1)b,

2.063(�1)j1.14(12) 1.16(12)a, 1.13(12)b, 1.089(12)j

1P1o–1S0 1.66(�2) 1.61(�2)a, 4.88(�2)b,

4.80(�2)e, 1.778(�2)j3.87(11) 3.69(11)a, 3.73(11)b, 4.068(11)j

1P1o–3S1 1.63(�4) 1.684(�4)j 1.24(9) 1.257(9)j

1P1o–1D2 1.43(�1) 7.02(�1)a, 4.19(�1)b,

6.026(�1)j3.00(12) 3.27(12)a, 3.25(12)b, 2.801(12)j

1P1o–3D1 1.43(�3) 1.435(�3)j 1.12(10) 1.11(10)j

1P1o–3D2 7.26(�2) 9.633(�2)j 3.42(11) 4.47(11)j

3P0o–3S1 1.61(�2) 1.64(�2)a, 5.54(�3)b,

1.434(�2)j4.33(10) 4.36(10)a, 4.40(10)b, 3.816(10)j

3P0o–3D1 6.86(�1) 6.85(�1)a, 2.26(�1)b,

6.73(�1)j1.91(12) 1.89(12)a, 1.86(12)b, 1.854(12)j

3P1o–1S0 1.04(�4) 9.923(�5)j 2.58(9) 2.423(9)j

3P1o–3S1 1.58(�2) 1.64(�2)a, 1.66(�2)b,

4.90(�2)e, 1.422(�2)j1.28(11) 1.30(11)a, 1.32(11)b, 1.133(11)j

3P1o–1D2 0.45(�1) 6.109(�2)j 2.26(11) 3.028(11)j

3P1o–3D1 1.70(�1) 1.71(�1)a, 1.70(�1)b,

1.671(�1)j1.42(12) 1.41(12)a, 1.40(12)b, 1.379(12)j

3P1o–3D2 4.70(�1) 5.13(�1)a, 3.05(�1)b,

4.457(�1)j2.36(12) 2.54(12)a, 2.51(12)b, 2.206(12)j

3P2o–3S1 1.65(�2) 1.63(�2)a, 2.76(�2)b,

1.505(�2)j2.21(11) 2.15(11)a, 2.19(11)b, 1.984(11)j

3P2o–1D2 1.59(�2) 1.994(�2)j 1.32(11) 1.636(11)j

3P2o–3D1 6.88(�3) 6.81(�3)a, 1.13(�2)b,

6.759(�3)j9.51(10) 9.30(10)a, 9.29(10)b, 9.226(10)j

3P2o–3D2 8.74(�2) 1.02(�1)a,b, 8.158(�2)j 7.25(11) 8.37(11)a, 8.36(11)b, 6.682(11)j

3P2o–3D3 5.78(�1) 5.73(�1)a, 4.08(�1)b,

5.687(�1)j3.43(12) 3.35(12)a, 3.36(12)b, 3.33(12)j



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1s2l–1s4l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

1P1o 1.06(�1) 9.89(�2)a, 3.28(�2)b,

9.60(�2)e5.17(11) 4.89(11)a, 4.86(11)b

3S1–3P0

o 1.13(�2) 1.08(�2)a, 3.16(�2)b 5.27(11) 5.05(11)a, 4.95(11)b

3S1–3P1

o 3.36(�2) 3.23(�2)a, 3.16(�2)b,

9.50(�2)e5.22(11) 5.05(11)a, 4.95(11)b

3S1–3P2

o 5.63(�2) 5.38(�2)a, 3.17(�2)b 5.26(11) 5.06(11)a, 4.97(11)b

1P1o–1S0 3.80(�3) 3.57(�3)a, 1.07(�2)b,

1.00(�2)e1.62(11) 1.51(11)a,b

1P1o–1D2 1.17(�1) 1.21(�1)a, 7.27(�2)b 1.01(12) 1.03(12)a, 1.02(12)b

3P0o–3S1 3.31(�3) 3.58(�3)a, 1.20(�3)b 1.64(10) 1.76(10)a, 1.75(10)b

3P0o–3D1 1.28(�1) 4.08(�2)d 6.40(11) 6.05(11)d

3P1o–3S1 3.26(�3) 3.58(�3)a, 3.59(�3)b,

1.10(�2) e

4.84(10) 5.26(10)a,b

3P1o–3D2 9.03(�2) 5.51(�2)b 8.12(11) 8.160(11)b

3P1o–3D1 3.17(�2) 3.06(�2)d 4.76(11) 4.52(11)d

3P2o–3S1 3.42(�3) 3.57(�3)a, 5.96(�3)b 8.43(10) 8.69(10)a, 8.73(10)b

3P2o–3D1 1.27(�3) 2.04(�3)b 3.17(10) 3.02(10)b

3P2o–3D2 1.68(�2) 1.83(�2)b 2.51(11) 2.72(11)b

3P2o–3D3 1.07(�1) 1.03(�1)a, 7.36(�2)b 1.15(12) 1.08(12)a, 1.09(12)b

1s2l–1s5l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

1P1o 4.76(�2) 4.07(�2)a, 1.35(�2)b,

4.00(�2)e2.91(11) 2.51(11)a, 2.50(11)b

3S1–3P0

o 4.96 (�2) 4.43(�3)a, 1.31(�2)b 2.88(11) 2.59(11)a, 2.55(11)b

3S1–3P1

o 3.25(�2) 1.33(�2)a, 1.31(�2)b,

3.90(�2)e2.85(11) 2.59(11)a, 2.55(11)b

3S1–3P2

o 2.47(�2) 2.21(�2)a, 1.31(�2)b 2.88(11) 2.59(11)a, 2.56(11)b

1P1o–1S0 1.58(�5) 1.42(�3)a, 4.24(�3)b,

4.10(�3)e8.53(10) 7.55(10)a, 7.53(10)b

1P1o–1D2 4.53(�2) 4.37(�2)a, 2.64(�2)b 4.90(11) 4.67(11)a, 4.69(11)b

3P0o–3S1 1.22(�3) 1.42(�3)a, 4.72(�4)b 7.56(9) 8.73(9)a, 8.70(9)b

3P0o–3D1 4.94(�2) 1.50(�2)b 3.08(11) 2.78(11)b

3P1o–3S1 1.20(�3) 1.42(�3)a,b, 4.20(�3)e 2.24(10) 2.61(10)a,b

3P1o–3D1 1.22(�2) 1.13(�2)b 2.29(11) 2.08(11)b

3P1o–3D2 3.50(�2) 2.03(�2)b 3.95(11) 3.75(11)b

3P2o–3S1 1.28(�3) 1.41(�3)a, 2.35(�3)b 3.96(10) 4.33(10)a,b

3P2o–3D1 4.92(�3) 7.49(�4)b 1.53(10) 1.389(10)b

3P2o–3D2 6.58(�2) 6.74(�3)b 1.23(11) 1.25(11)b

3P2o–3D3 4.16(�1) 3.78(�2)a, 2.71(�2)b 5.53(11) 4.99(11)a, 5.02(11)b

1s2l–1s6l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

1P1o 2.75(�2) 2.11(�2)a, 7.01(�3)b 1.88(11) 1.45(11)a,b

3S1–3P0

o 2.76(�3) 2.31(�3)a, 6.79(�3)b 1.80(11) 1.50(11)a, 1.48(11)b

3S1–3P1

o 8.23(�2) 6.92(�3)a, 6.79(�3)b 1.78(11) 1.50(11)a, 1.48(11)b

3S1–3P2

o 1.39(�2) 1.15(�2)a, 6.81(�3)b 1.80(11) 1.51(11)a, 1.48(11)b

1P1o–1S0 8.63(�3) 7.21(�4)a, 2.16(�3)b 5.20(10) 4.31(10)a, 4.309(10)b

1P1o–1D2 2.39(�2) 2.13(�2)a, 1.28(�2)b 2.89(11) 2.55(11)a,b

3P0o–3S1 5.59(�4) 7.16(�4)a, 2.40(�4)b 3.89(9) 4.94(9)a, 4.96(9)b

3P0o–3D1 2.57(�2) 7.34(�3)b 1.80(11) 1.519(11)b

3P1o–3S1 5.53(�3) 7.16(�4)a, 7.21(�4)b 1.16(10) 1.48(10)a, 1.49(10)b

3P1o–3D1 6.40(�3) 5.50(�3)b 1.34(11) 1.14(11)b

3P1o–3D2 1.84(�2) 9.90(�3)b 2.31(11) 2.05(11)b

3P2o–3S1 6.04(�4) 7.14(�4)a, 1.20(�3)b 2.09(10) 2.45(10)a, 2.47(10)b

3P2o–3D1 2.56(�3) 3.66(�4)b 8.90(9) 7.58(9)b

3P2o–3D2 3.46(�2) 3.29(�3)b 7.19(10) 6.819(10)b

3P2o–3D3 2.16(�1) 1.85(�2)a, 1.32(�2)b 3.23(11) 2.73(11)a, 2.74(11)b

1s2l–1s7l0 (l ¼ l0 ¼ 0,1)1S0–

1P1o 1.87(�2) 1.24(�2)a 1.36(11) 9.16(10)a

3S1–3P0

o 1.82(�3) 1.36(�3)a 1.25(11) 9.46(10)a



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3S1–3P1

o 5.40(�3) 4.08(�3)a 1.24(11) 9.46(10)a

3S1–3P2

o 9.13(�3) 6.81(�3)a 1.26(11) 9.46(10)a

1P1o–1S0 5.50(�4) 4.21(�4)a 3.55(10) 2.69(10)a

3P0o–3S1 2.80(�4) 4.18(�4)a 2.08(9) 3.08(9)a

3P1o–3S1 2.79(�4) 4.18(�4)a 6.22(9) 9.23(9)a

3P2o–3S1 3.14(�3) 4.17(�4)a 1.16(10) 1.53(10)a

1s2l–1s8l0 (l ¼ l0 ¼ 0,1)1S0–

1P1o 1.49(�2) 8.00(�3)a 1.13(11) 6.13(10)a

3S1–3P0

o 1.37(�3) 8.78(�4)a 9.90(10) 6.35(10)a

3S1–3P1

o 7.43(�2) 2.63(�3)a 9.82(10) 6.35(10)a

3S1–3P2

o 6.93(�2) 4.39(�3)a 1.00(11) 6.35(10)a

1P1o–1S0 4.06(�4) 2.69(�4)a 2.74(10) 1.79(10)a

3P0o–3S1 1.30(�4) 2.66(�4)a 1.00(9) 2.05(9)a

3P1o–3S1 1.31(�4) 2.66(�4)a 3.05(9) 6.13(9)a

3P2o–3S1 1.60(�4) 2.66(�4)a 6.16(9) 1.01(10)a

1s2l–1s9l0 (l ¼ l0 ¼ 0,1)1S0–

1P1o 3.67(�2) 5.46(�3)a 2.87(11) 4.30(10)a

3S1–3P0

o 2.18(�3) 5.99(�4)a 1.62(11) 4.45(10)a

3S1–3P1

o 6.56(�3) 1.80(�3)a 1.62(11) 4.45(10)a

3S1–3P2

o 1.13(�2) 2.99(�3)a 1.68(11) 4.45(10)a

1P1o–1S0 5.83(�4) 1.83(�4)a 4.05(10) 1.25(10)a

3P0o–3S1 1.09(�5) 1.81(�4)a 8.71(7) 1.43(9)a

3P0o–3S1 7.33(�5) 1.81(�4)a 1.75(8) 4.27(9)a

3P2o–3S1 1.20(�7) 1.80(�4)a 4.80(6) 7.08(9)a

1s3l–1s4l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 4.38(�1) 4.49(�1)a, 1.47(�1)b,

4.36(�1)e1.41(11) 1.51(11)a, 1.48(11)b

3S1–3P0

o 4.80(�2) 4.84(�2)a, 1.42(�1) b 1.45(11) 1.52(11)a, 1.49(11)b

3S1–3P1

o 1.42(�1) 1.45(�1)a, 1.42(�1)b,

4.24(�1)e1.44(11) 1.52(11)a, 1.49(11)b

3S1–3P2

o 2.36(�1) 2.42(�1)a, 1.42(�1)b 1.44(11) 1.53(11)a, 1.49(11)b

1P1o–1S0 4.13(�2) 3.74(�2)a, 1.14(�1)b,

1.12(�1)e1.21(11) 1.05(11)a, 1.07(11)b

1P1o–1D2 6.03(�1) 6.29(�1)a, 3.74(�1)b 3.57(11) 3.61(11)a, 3.57(11)b

3P0o–3S1 4.18(�2) 3.84(�2)a, 1.30(�2)b 1.39(10) 1.23(10)a, 1.25(10)b

3P0o–3D1 6.10(�1) 1.97(�1)b 2.12(11) 1.97(11)b

3P1o–1S0 3.28(�4) 1.14(�1)b 1.01(9) 1.069(11)b

3P1o–3S1 4.13(�2) 3.84(�2)a, 3.91(�2)b,

1.15(�1)e4.12(10) 3.69(10)a, 3.75(10)b

3P1o–3D1 1.51(�1) 1.48(�1)b 1.58(11) 1.48(11)b

3P1o–3D2 4.33(�1) 2.66(�1)b 2.70(11) 2.66(11)b

3P2o–3S1 4.28(�1) 3.83(�2)a, 6.51(�2)b 7.07(10) 6.10(10)a, 6.24(10)b

3P2o–3D1 6.14(�2) 9.84(�3)b 1.06(10) 9.84(9)b

3P2o–3D2 8.12(�1) 8.86(�2)b 8.39(10) 8.86(10)b

3P2o–3D3 5.16(�1) 5.00(�1)a, 3.55(�1)b 3.82(11) 3.56(11)a, 3.55(11)b

1D2–1P1

o 9.72(�3) 1.05(�2)a, 1.80(�2)b 1.51(10) 1.69(10)a, 1.73(10)b

3D1–3P0

o 7.46(�3) 6.96(�3)a, 2.14(�2)b 2.04(10) 1.98(10)a, 2.03(10)b

3D1–3P1

o 5.56(�3) 5.22(�3)a, 5.35(�3)b 5.07(9) 4.95(9)a, 5.07(9)b

3D1–3P2

o 3.53(�4) 3.48(�4)a, 2.14(�4)b 1.95(8) 1.99(8)a, 2.03(8)b

3D2–3P1

o 9.26(�3) 9.40(�3)a, 1.61(�2)b 1.41(10) 1.48(10)a, 1.52(10)b

3D2–3P2

o 2.74(�3) 3.14(�3)a, 3.21(�3)b 2.51(9) 2.98(9)a, 3.04(9)b

3D3–3P2

o 1.31(�2) 1.25(�2)a, 1.80(�2)b 1.68(10) 1.66(10)a, 1.70(10)b

1s3l–1s5l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 1.23(�1) 1.15(�1)a, 3.80(�2)b,

1.12(�1)e8.44(10) 8.16(10)a, 8.06(10)b

3S1–3P0

o 1.33(�2) 1.25(�2)a, 3.71(�2)b 8.56(10) 8.25(10)a, 8.149(10)b



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3S1–3P1

o 3.93(�2) 3.76(�2)a, 3.71(�2)b,

1.10(�1)e8.45(10) 8.26(10)a, 8.15(10)b

3S1–3P2

o 6.60(�2) 6.27(�2) a, 3.71(�2) b 8.49(10) 8.27(10)a, 8.16(10) b

3P0o–3S1 1.04(�2) 8.59(�3)a, 2.91(�3)b 7.44(9) 5.99(9)a, 6.07(9)b

1P1o–1S0 1.06(�2) 8.41(�3)a, 2.56(�2)b,

2.30(�2)e6.67(10) 5.14(10)a, 5.21(10)b

1P1o–1D2 1.41(�1) 1.40(�1)a, 8.37(�2)b 1.78(11) 1.72(11)a,b

3P0o–3D1 1.47(�1) 4.56(�2)b 1.07(11) 9.65(10)b

3P1o–3S1 1.02(�2) 8.59(�3)a, 8.74(�3)b,

2.60(�2)e2.20(10) 1.79(10)a, 1.82(10)b

3P1o–3D1 3.66(�2) 3.42(�2)b 7.95(10) 7.24(10)b

3P1o–3D2 1.05(�1) 6.16(�2)b 1.38(11) 1.23(11)b

3P2o–3S1 1.06(�2) 8.57(�3)a, 1.45(�2)b 3.79(10) 2.97(10)a, 3.03(10)b

3P2o–3D3 1.24(�1) 1.15(�1)a, 8.22(�2)b 1.92(11) 1.73(11)a, 1.74(11)b

3P2o–3D2 1.97(�2) 2.05(�2)b 4.27(10) 4.34(10)b

3P2o–3D1 1.47(�3) 2.28(�3)b 5.31(9) 4.81(9)b

1D2–1P1

o 2.36(�3) 2.12(�3)a, 3.65(�3)b 7.89(9) 7.27(9)a, 7.51(9)b

3D1–3P0

o 1.76(�3) 1.39(�3)a, 4.26(�3)b 1.05(10) 8.52(9)a, 8.73(9)b

3D1–3P1

o 1.31(�3) 1.04(�3)a, 1.07(�3)b 2.62(9) 2.13(9)a, 2.18(9)b

3D1–3P2

o 8.46(�5) 6.93(�5)a, 4.27(�5)b 1.01(8) 8.54(7)a, 8.74(7)b

3D2–3P1

o 2.18(�3) 1.87(�3)a, 3.20(�3)b 7.29(9) 6.39(9)a, 6.55(9)b

3D2–3P2

o 6.48(�4) 6.24(�4)a, 6.40(�4)b 1.30(9) 1.28(9)a, 1.31(9)b

3D3–3P2

o 3.11(�3) 2.49(�3)a, 3.58(�3)b 8.71(9) 7.15(9)a, 7.33(9)b

1s3l–1s6l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 5.87(�2) 4.94(�2)a, 1.64(�2)b 5.55(10) 4.77(10)a, 4.74(10)b

3S1–3P0

o 6.26(�3) 5.39(�3)a, 1.60(�2)b 5.52(10) 4.84(10)a, 4.789(10)b

3S1–3P1

o 1.86(�2) 1.62(�2)a, 1.60(�2)b 5.46(10) 4.84(10)a, 4.789(10)b

3S1–3P2

o 3.12(�2) 2.70(�2)a, 1.60(�2)b 5.49(10) 4.85(10)a, 4.80(10)b

1P1o–1S0 5.30(�3) 3.41(�3)a, 1.04(�2)b 4.55(10) 2.87(10)a, 2.93(10)b

1P1o–1D2 6.16(�1) 5.61(�2)a, 3.36(�2)b 1.06(11) 9.48(10)a,b

3P0o–3S1 4.98(�3) 3.48(�3)a, 1.18(�3)b 4.89(9) 3.34(9)a, 3.39(9)b

3P0o–3D1 6.45(�2) 1.86(�2)b 6.38(10) 5.38(10)b

3P1o–3S1 4.93(�3) 3.48(�3)a, 3.54(�3)b 1.45(10) 1.00(10)a, 1.02(10)b

3P1o–3D1 1.60(�2) 1.39(�2)b 4.75(10) 4.03(10)b

3P1o–3D2 4.63(�2) 2.51(�2)b 8.25(10) 7.26(10)b

3P2o–3S1 5.12(�3) 3.47(�3)a, 5.90(�3)b 2.50(10) 1.66(10)a, 1.69(10)b

3P2o–3D1 6.44(�4) 9.28(�4)b 3.17(9) 2.69(9)b

3P2o–3D2 8.70(�3) 8.35(�3)b 2.57(10) 2.42(10)b

3P2o–3D3 5.44(�2) 4.69(�2)a, 3.35(�2)b 1.15(11) 9.68(10)a, 9.69(10)b

1D2–1P1

o 1.17(�3) 8.12(�4)a, 1.40(�3)b 5.41(9) 3.83(9)a, 3.97(9)b

3D1–3P0

o 8.66(�4) 5.26(�4)a, 1.63(�3)b 7.18(9) 4.46(9)a, 4.60(9)b

3D1–3P1

o 6.46(�4) 3.95(�4)a, 4.08(�4)b 1.78(9) 1.11(9)a, 1.15(9)b

3D1–3P2

o 4.23(�5) 2.63(�5)a, 1.63(�5)b 7.01(7) 4.46(7)a, 4.61(7)b

3D2–3P1

o 1.08(�3) 7.11(�4)a, 1.22(�3)b 4.97(9) 3.34(9)a, 3.45(9)b

3D2–3P2

o 3.20(�4) 2.37(�4)a, 2.45(�4)b 8.82(8) 6.69(8)a, 6.91(8)b

3D3–3P2

o 1.54(�3) 9.47(�4)a, 1.37(�3)b 5.95(9) 3.74(9)a, 3.86(9)b

1s3l–1s7l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 3.66(�2) 2.64(�2)a 4.09(10) 3.01(10)a

3S1–3P0

o 3.83(�3) 2.88(�3)a 4.00(10) 3.06(10)a

3S1–3P1

o 1.14(�2) 8.65(�3)a 3.95(10) 3.06(10)a

3S1–3P2

o 1.91(�2) 1.44(�2)a 3.98(10) 3.06(10)a

1P1o–1S0 3.63(�3) 1.77(�3)a 3.70(10) 1.77(10)a

3P0o–3S1 3.30(�3) 1.81(�3)a 3.83(9) 2.06(9)a

3P1o–3S1 3.26(�3) 1.80(�3)a 1.14(10) 6.16(9)a

3P2o–3S1 3.42(�3) 1.80(�3)a 1.97(10) 1.02(10)a

1D2–1P1

o 8.42(�4) 4.06(�4)a 4.62(9) 2.27(9)a

3D1–3P0

o 6.20(�4) 2.63(�4)a 6.11(9) 2.64(9)a

3D1–3P1

o 4.63(�4) 1.97(�4)a 1.52(9) 6.60(8)a



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3D1–3P2

o 3.17(�5) 1.31(�5)a 6.26(7) 2.64(7)a

3D2–3P1

o 7.74(�4) 3.55(�4)a 4.23(9) 1.98(9)a

3D2–3P2

o 2.28(�4) 1.18(�4)a 7.47(8) 3.96(8)a

3D3–3P2

o 1.10(�4) 4.73(�4)a 5.08(9) 2.21(9)a

1s3l–1s8l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 2.83(�2) 1.61(�2)a 3.51(10) 2.03(10)a

3S1–3P0

o 2.91(�3) 1.75(�3)a 3.36(10) 2.05(10)a

3S1–3P1

o 8.66(�2) 5.25(�3)a 3.32(10) 2.05(10)a

3S1–3P2

o 1.45(�2) 8.75(�3)a 3.35(10) 2.05(10)a

1P1o–1S0 3.33(�3) 1.06(�3)a 3.76(10) 1.17(10)a

3P0o–3S1 2.92(�3) 1.07(�3)a 3.76(9) 1.35(9)a

3P1o–3S1 2.89(�3) 1.07(�3)a 1.12(10) 4.05(9)a

3P2o–3S1 3.04(�3) 1.07(�3)a 1.95(10) 6.72(9)a

1D2–1P1

o 8.32(�4) 2.36(�4)a 5.06(9) 1.46(9)a

3D1–3P0

o 6.23(�4) 1.53(�4)a 6.82(9) 1.70(9)a

3D1–3P1

o 4.63(�4) 1.15(�4)a 1.69(9) 4.25(8)a

3D1–3P2

o 2.47(�5) 7.64(�6)a 5.41(7) 1.70(7)a

3D2–3P1

o 7.76(�4) 2.06(�4)a 4.72(9) 1.28(9)a

3D2–3P2

o 2.34(�4) 6.87(�5)a 8.54(8) 2.55(8)a

3D3–3P2

o 1.10(�3) 2.75(�4)a 5.65(9) 1.43(9)a

1s3l–1s9l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 8.23(�2) 1.05(�2)a 1.10(11) 1.42(10)a

3S1–3P0

o 6.43(�3) 1.15(�3)a 8.00(10) 1.44(10)a

3S1–3P1

o 1.92(�2) 3.46(�3)a 7.94(10) 1.44(10)a

3S1–3P2

o 3.28(�2) 5.76(�3)a 8.15(10) 1.44(10)a

1P1o–1S0 1.54(�2) 6.85(�4)a 1.88(11) 8.12(9)a

3P0o–3S1 9.86(�3) 6.95(�4)a 1.37(10) 9.39(8)a

3P1o–3S1 9.83(�3) 6.95(�4)a 4.08(10) 2.81(9)a

3P2o–3S1 1.05(�2) 6.94(�4)a 7.25(10) 4.67(9)a

1D2–1P1

o 2.26(�3) 1.51(�4)a 4.12(10) 9.98(8)a

3D1–3P0

o 3.46(�3) 9.75(�5)a 4.22(10) 1.16(9)a

3D1–3P1

o 2.66(�3) 7.31(�5)a 1.05(10) 2.91(8)a

3D1–3P2

o 1.73(�4) 4.87(�6)a 4.09(8) 1.16(7)a

3D2–3P1

o 4.48(�3) 1.32(�4)a 2.94(10) 8.72(8)a

3D2–3P2

o 1.37(�3) 4.39(�5)a 5.39(9) 1.74(8)a

3D3–3P2

o 6.62(�3) 1.75(�4)a 3.65(10) 9.75(8)a

1s4l–1s5l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 4.72(�1) 5.00(�1)a, 1.64(�1)b,

4.86(�1)e3.11(10) 3.58(10)a, 3.53(10)b

3S1–3P0

o 5.20(�2) 5.39(�2)a, 1.59(�1)b 3.20(10) 3.58(10)a, 3.53(10)b

3S1–3P1

o 1.53(�1) 1.62(�1)a, 1.59(�1)b,

4.73(�1)e3.15(10) 3.59(10)a, 3.529(10)b

3S1–3P2

o 2.54(�1) 2.70(�1)a, 1.59(�1)b 3.14(10) 3.60(10)a, 3.53(10)b

1P1o–1S0 6.80(�2) 6.04(�2)a, 1.85(�1)b,

1.82(�1)e4.43(10) 3.64(10)a, 3.71(10)b

1P1o–1D2 6.23(�1) 6.19(�1)a, 3.69(�1)b 8.22(10) 7.61(10)a, 7.57(10)b

3P0o–3S1 6.94(�2) 6.25(�2)a, 2.12(�2)b 5.13(9) 4.26(9)a, 4.32(9)b

3P0o–3D1 6.09(�1) 1.92(�1)b 4.71(10) 4.10(10)b

3P1o–3S1 6.86(�2) 6.24(�2)a, 6.37(�2)b,

1.87(�1)e1.52(10) 1.28(10)a, 1.30(10)b

3P1o–3D1 1.51(�1) 1.44(�1)b 3.50(10) 3.08(10)b

3P1o–3D2 4.36(�1) 2.59(�1)b 6.08(10) 5.54(10)b

3P2o–3S1 7.12(�2) 6.23(�2)a, 1.06(�1)b 2.61(10) 2.11(10)a, 2.16(10)b

3P2o–3D1 6.16(�3) 9.61(�3)b 2.36(9) 2.05(9)b

3P2o–3D2 8.24(�2) 8.64(�2)b 1.90(10) 1.84(10)b

3P2o–3D3 5.16(�1) 4.88(�1)a, 3.46(�1)b 8.51(10) 7.42(10)a, 7.38(10)b

1D2–1P1

o 2.42(�2) 2.68(�2)a, 4.57(�2)b 7.69(9) 9.22(9)a, 9.45(9)b



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3D1–3P0

o 1.78(�2) 5.33(�2)b 9.97(9) 1.08(10)b

3D1–3P1

o 1.33(�2) 1.33(�2)b 2.48(9) 2.70(9)b

3D1–3P2

o 8.56(�4) 5.34(�4)b 9.61(7) 1.08(8)b

3D2–3P1

o 2.28(�2) 4.00(�2)b 7.07(9) 8.11(9)b

3D2–3P2

o 6.82(�3) 8.00(�3)b 1.28(9) 1.62(9)b

3D3–3P2

o 4.40(�2) 3.13(�2)a, 4.48(�2)b 8.22(9) 8.88(9)a, 9.08(9)b

1s4l–1s6l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 1.36(�1) 1.31(�1)a, 4.32(�2)b 2.17(10) 2.19(10)a, 2.18(10)b

3S1–3P0

o 1.49(�2) 1.42(�2)a, 4.21(�2)b 2.20(10) 2.20(10)a, 2.18(10)b

3S1–3P1

o 4.43(�2) 4.26(�2)a, 4.21(�2)b 2.17(10) 2.21(10)a, 2.18(10)b

3S1–3P2

o 7.36(�2) 7.10(�2)a, 4.22(�2)b 2.18(10) 2.21(10)a, 2.18(10)b

1P1o–1S0 1.74(�2) 1.38(�2)a, 4.22(�2)b 2.66(10) 2.01(10)a, 2.05(10)b

1P1o–1D2 1.56(�1) 1.50(�1)a, 8.95(�2)b 4.82(10) 4.39(10)a, 4.38(10)b

3P0o–3S1 1.74(�2) 1.41(�2)a, 4.81(�3)b 3.02(9) 2.33(9)a, 2.37(9)b

3P0o–3D1 1.59(�1) 4.82(�2)b 2.82(10) 2.42(10)b

3P1o–3S1 1.71(�2) 1.41(�2)a, 1.44(�2)b 8.92(9) 6.99(9)a, 7.12(9)b

3P1o–3D1 3.96(�2) 3.61(�2)b 2.09(10) 1.81(10)b

3P1o–3D2 1.14(�2) 6.50(�2)b 3.65(10) 3.27(10)b

3P2o–3S1 1.77(�2) 1.41(�2)a, 2.40(�2)b 1.54(10) 1.16(10)a, 1.19(10)b

3P2o–3D1 1.59(�3) 2.41(�3)b 1.40(9) 1.21(9)b

3P2o–3D2 2.16(�2) 2.17(�2)b 1.14(10) 1.09(10)b

3P2o–3D3 1.34(�1) 1.22(�1)a, 8.67(�2)b 5.08(10) 4.35(10)a, 4.36(10)b

1D2–1P1

o 6.00(�3) 5.66(�3)a, 9.69(�3)b 4.68(9) 4.64(9)a, 4.76(9)b

3D1–3P0

o 4.36(�3) 1.11(�2)b 6.06(9) 5.41(9)b

3D1–3P1

o 3.25(�3) 2.77(�3)b 1.50(9) 1.35(9)b

3D1–3P2

o 2.12(�4) 1.11(�4)b 5.90(7) 5.42(8)b

3D2–3P1

o 5.58(�3) 8.32(�3)b 4.30(9) 4.06(9)b

3D2–3P2

o 1.67(�3) 1.66(�3)b 7.74(8) 8.12(8)b

3D3–3P2

o 7.71(�3) 6.47(�3)a, 9.31(�3)b 5.00(9) 4.42(9)a, 4.55(9)b

1s4l–1s7l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 6.80(�2) 5.70(�2)a 1.60(10) 1.40(10)a

3S1–3P0

o 7.36(�3) 6.21(�3)a 1.60(10) 1.41(10)a

3S1–3P1

o 2.18(�2) 1.86(�2)a 1.58(10) 1.41(10)a

3S1–3P2

o 3.66(�2) 3.10(�2)a 1.59(10) 1.41(10)a

1P1o–1S0 8.80(�3) 5.67(�3)a 1.97(10) 1.22(10)a

3P0o–3S1 8.60(�3) 5.78(�3)a 2.19(9) 1.41(9)a

3P1o–3S1 8.46(�3) 5.78(�3)a 6.46(9) 4.22(9)a

3P2o–3S1 8.82(�3) 5.77(�3)a 1.12(10) 7.00(9)a

1D2–1P1

o 3.06(�3) 2.20(�3)a 3.52(9) 2.65(9)a

3D3–3P2

o 3.92(�3) 2.51(�3)a 3.78(9) 2.53(9)a

1s4l–1s8l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 4.62(�2) 3.10(�2)a 1.35(10) 9.42(9)a

3S1–3P0

o 4.96(�3) 3.38(�3)a 1.34(10) 9.47(9)a

3S1–3P1

o 1.47(�2) 1.01(�2)a 1.32(10) 9.47(9)a

3S1–3P2

o 2.46(�2) 1.69(�2)a 1.33(10) 9.48(9)a

1P1o–1S0 6.66(�3) 2.97(�3)a 1.85(10) 7.94(9)a

3P0o–3S1 6.37(�3) 3.03(�3)a 2.01(9) 9.16(8)a

3P1o–3S1 6.30(�3) 3.03(�3)a 5.94(9) 2.75(9)a

3P2o–3S1 6.56(�3) 3.02(�3)a 1.03(10) 4.56(9)a

1D2–1P1

o 2.40(�3) 1.12(�3)a 3.45(9) 1.67(9)a

3D3–3P2

o 3.12(�3) 1.27(�3)a 3.77(9) 1.59(9)a

1s4l–1s9l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 1.21(�1) 1.91(�2)a 4.12(10) 6.62(9)a, 1.49(11)b

3S1–3P0

o 1.02(�2) 2.08(�3)a 3.19(10) 6.67(9)a

3S1–3P1

o 3.02(�2) 6.25(�3)a 3.17(10) 6.67(9)a

3S1–3P2

o 5.16(�2) 1.04(�2)a 3.24(10) 6.67(9)a

1P1o–1S0 2.54(�2) 1.79(�3)a 8.18(10) 5.47(9)a



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3P0o–3S1 1.83(�2) 1.83(�3)a 6.66(9) 6.33(8)a

3P1o–3S1 1.81(�2) 1.83(�3)a 1.98(10) 1.90(9)a

3P2o–3S1 1.91(�2) 1.82(�3)a 3.47(10) 3.15(9)a

1D2–1P1

o 1.41(�2) 6.60(�4)a 2.37(10) 1.13(9)a

3D3–3P2

o 1.48(�2) 7.54(�4)a 2.08(10) 1.08(9)a

1s5l–1s6l0 (l ¼ l0 ¼ 0–2)1S0–

1P1o 4.99(�1) 5.57(�1)a, 1.83(�1)b 9.04(9) 1.17(10)a, 1.16(10)b

3S1–3P0

o 5.53(�2) 5.98(�2)a, 1.77(�1)b 9.28(9) 1.17(10)a, 1.15(10)b

3S1–3P1

o 1.63(�1) 1.80(�1)a, 1.77(�1)b 9.14(9) 1.17(10)a, 1.15(10)b

3S1–3P2

o 2.70(�1) 3.00(�1)a, 1.77(�1)b 9.11(9) 1.17(10)a, 1.149(10)b

1P1o–1S0 9.86(�2) 8.43(�2)a, 2.59(�1)b 2.02(10) 1.50(10)a, 1.53(10)b

1P1o–1D2 6.70(�1) 6.35(�1)a, 3.79(�1)b 2.79(10) 2.31(10)a, 2.29(10)b

3P0o–3S1 1.01(�1) 8.74(�2)a, 2.98(�2)b 2.35(9) 1.75(9)a, 1.78(9)b

3P0o–3D1 6.41(�1) 1.96(�1)b 1.56(10) 1.23(10)b

3P1o–3S1 1.00(�1) 8.73(�2)a, 8.93(�2)b 6.94(9) 5.24(9)a, 5.34(9)b

3P1o–3D1 1.59(�1) 1.47(�1)b 1.16(10) 9.23(9)b

3P1o–3D2 4.63(�1) 2.64(�1)b 2.02(10) 1.66(10)b

3P2o–3S1 1.03(�1) 8.71(�2)a, 1.49(�1)b 1.19(10) 8.65(9)a, 8.90(9)b

3P2o–3D1 6.50(�3) 9.79(�3)b 7.84(8) 6.15(8)b

3P2o–3D2 8.76(�2) 8.81(�2)b 6.35(9) 5.54(9)b

3P2o–3D3 5.46(�1) 4.98(�1)a, 3.53(�1)b 2.83(10) 2.23(10)a, 2.22(10)b

1D2–1P1

o 3.94(�2) 4.64(�2)a, 7.92(�2)b 3.46(9) 4.71(9)a, 4.83(9)b

3D1–3P0

o 2.91(�2) 9.13(�2)b 4.45(9) 5.46(9)b

3D1–3P1

o 2.16(�2) 2.28(�2)b 1.10(9) 1.36(9)b

3D1–3P2

o 1.40(�3) 9.13(�4)b 4.32(7) 5.46(7)b

3D2–3P1

o 3.74(�2) 6.85(�2)b 3.18(9) 4.09(9)b

3D2–3P2

o 1.12(�2) 1.37(�2)b 5.76(8) 8.19(8)b

3D3–3P2

o 5.12(�2) 5.35(�2)a, 7.67(�2)b 3.66(9) 4.48(9)a, 4.58(9)b

1s5l–1s7l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 1.49(�1) 1.46(�1)a 7.26(9) 7.77(9)a

3S1–3P0

o 1.65(�2) 1.58(�2)a 7.40(9) 7.77(9)a

3S1–3P1

o 4.90(�2) 4.75(�2)a 7.29(9) 7.77(9)a

3S1–3P2

o 8.26(�2) 7.92(�2)a 7.29(9) 7.79(9)a

1P1o–1S0 1.92(�2) 1.94(�2)a 1.28(10) 9.00(9)a

3P0o–3S1 2.56(�2) 1.99(�2)a 1.47(9) 1.04(9)a

3P1o–3S1 2.52(�2) 1.99(�2)a 4.34(9) 3.12(9)a

3P2o–3S1 2.62(�2) 1.99(�2)a 7.46(9) 5.18(9)a

1D2–1P1

o 1.03(�2) 1.00(�2)a 2.45(9) 2.62(9)a

3D3–3P2

o 1.32(�2) 1.13(�2)a 2.62(9) 2.46(9)a

1s5l–1s8l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 8.02(�2) 6.41(�2)a 6.13(9) 5.27(9)a

3S1–3P0

o 8.83(�3) 6.98(�3)a 6.22(9) 5.27(9)a

3S1–3P1

o 2.61(�2) 2.10(�2)a 6.13(9) 5.27(9)a

3S1–3P2

o 4.36(�2) 3.49(�2)a 6.13(9) 5.28(9)a

1P1o–1S0 1.38(�2) 8.01(�3)a 1.08(10) 5.77(9)a

3P0o–3S1 1.39(�2) 8.19(�3)a 1.22(9) 6.66(8)a

3P1o–3S1 1.37(�2) 8.19(�3)a 3.61(9) 2.00(9)a

3P2o–3S1 1.42(�2) 8.18(�3)a 6.23(9) 3.31(9)a

1D2–1P1

o 5.74(�3) 3.98(�3)a 2.16(9) 1.61(9)a

3D3–3P2

o 7.48(�3) 4.48(�3)a 2.35(9) 1.51(9)a

1s5l–1s9l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 1.76(�1) 3.52(�2)a 1.80(10) 3.72(9)a

3S1–3P0

o 1.56(�2) 3.82(�3)a 1.46(10) 3.70(9)a

3S1–3P1

o 4.63(�2) 1.15(�2)a 1.44(10) 3.70(9)a

3S1–3P2

o 7.86(�2) 1.91(�2)a 1.47(10) 3.71(9)a

1P1o–1S0 4.06(�1) 4.24(�3)a 4.14(10) 3.94(9)a

3P0o–3S1 3.15(�2) 4.32(�3)a 3.61(9) 4.53(8)a



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3P1o–3S1 3.12(�2) 4.32(�3)a 1.07(10) 1.36(9)a

3P2o–3S1 3.26(�2) 4.31(�3)a 1.86(10) 2.25(9)a

1D2–1P1

o 2.48(�2) 2.04(�3)a 1.26(10) 1.06(9)a

3D3–3P2

o 2.65(�2) 2.29(�3)a 1.11(10) 9.98(8)a

1s6l–1s7l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 5.15(�1) 6.16(�1)a 3.04(9) 4.72(9)a

3S1–3P0

o 5.73(�2) 6.61(�2)a 3.14(9) 4.66(9)a

3S1–3P1

o 1.69(�1) 1.99(�1)a 3.08(9) 4.67(9)a

3S1–3P2

o 2.79(�1) 3.31(�1)a 3.07(9) 4.69(9)a

1P1o–1S0 1.35(�1) 1.09(�1)a 1.10(10) 7.05(9)a

3P0o–3S1 1.39(�1) 1.14(�1)a 1.28(9) 8.23(8)a

3P1o–3S1 1.37(�1) 1.13(�1)a 3.79(9) 2.46(9)a

3P2o–3S1 1.43(�1) 1.13(�1)a 6.54(9) 4.07(9)a

1D2–1P1

o 5.34(�2) 6.80(�2)a 1.53(9) 2.51(9)a

3D3–3P2

o 7.02(�2) 7.80(�2)a 1.63(9) 2.37(9)a

1s6l–1s8l0 (l ¼ 0–2; l0 ¼ 0, 1)1S0–

1P1o 1.65(�1) 1.62(�1)a 2.92(9) 3.31(9)a

3S1–3P0

o 1.85(�2) 1.75(�2)a 3.01(9) 3.28(9)a

3S1–3P1

o 5.46(�2) 5.24(�2)a 2.96(9) 3.28(9)a

3S1–3P2

o 9.06(�2) 8.73(�2)a 2.95(9) 3.29(9)a

1P1o–1S0 3.60(�2) 2.52(�2)a 7.48(9) 4.49(9)a

3P0o–3S1 3.71(�2) 2.58(�2)a 8.67(8) 5.18(8)a

3P1o–3S1 3.66(�2) 2.58(�2)a 2.57(9) 1.55(9)a

3P2o–3S1 3.80(�2) 2.58(�2)a 4.42(9) 2.57(9)a

1D2–1P1

o 1.53(�2) 1.50(�2)a 1.34(9) 1.50(9)a

3D3–3P2

o 2.02(�2) 1.68(�2)a 1.46(9) 1.40(9)a

1s6l–1s9l0 (l ¼ 0–2 l0 ¼ 0,1)1S0–

1P1o 2.69(�1) 7.10(�2) a 8.40(9) 2.34(9) a

3S1–3P0

o 2.49(�2) 7.72(�3)a 7.03(9) 2.33(9)a

3S1–3P1

o 7.40(�2) 2.32(�2)a 6.95(9) 2.33(9)a

3S1–3P2

o 1.25(�1) 3.86(�2)a 7.07(9) 2.33(9)a

1P1o–1S0 6.93(�2) 1.04(�2)a 2.37(10) 3.01(9)a

3P0o–3S1 5.71(�2) 1.07(�2)a 2.17(9) 3.46(8)a

3P1o–3S1 5.63(�2) 1.07(�2)a 6.42(9) 1.04(9)a

3P2o–3S1 5.90(�2) 1.06(�2)a 1.11(10) 1.72(9)a

1D2–1P1

o 4.26(�2) 5.98(�3)a 6.57(9) 9.67(8)a

3D3–3P2

o 4.65(�2) 6.67(�3)a 5.89(9) 9.02(8)a

1s7l–1s8l0 (l ¼ l0 ¼ 0,1)1S0–

1P1o 5.11(�1) 6.75(�1)a 1.11(9) 2.18(9)a

3S1–3P0

o 5.80(�2) 7.24(�2)a 1.15(9) 2.14(9)a

3S1–3P1

o 1.70(�1) 2.17(�1)a 1.13(9) 2.15(9)a

3S1–3P2

o 2.79(�1) 3.63(�1)a 1.12(9) 2.16(9)a

1P1o–1S0 1.80(�1) 1.34(�1)a 7.09(9) 3.65(9)a

3P0o–3S1 1.89(�1) 1.39(�1)a 8.30(8) 4.23(8)a

3P1o–3S1 1.86(�1) 1.39(�1)a 2.46(9) 1.27(9)a

3P2o–3S1 1.95(�1) 1.39(�1)a 4.25(9) 2.10(9)a

1S0–1P1

o 4.57(�1) 1.77(�1)a 3.72(9) 1.59(9)a

1s7l–1s9l0 (l ¼ l0 ¼ 0,1)3S1–

3P0o 4.43(�2) 1.91(�2)a 3.20(9) 1.58(9)a

3S1–3P1

o 1.31(�1) 5.74(�2)a 3.16(9) 1.58(9)a

3S1–3P2

o 2.19(�1) 9.57(�2)a 3.20(9) 1.58(9)a

1P1o–1S0 1.42(�1) 3.10(�2)a 1.52(10) 2.43(9)a

3P0o–3S1 1.24(�1) 3.18(�2)a 1.45(9) 2.80(8)a

3P1o–3S1 1.22(�1) 3.18(�2)a 4.29(9) 8.40(8)a

3P2o–3S1 1.27(�1) 3.18(�2)a 7.43(9) 1.39(9)a



doi:10.1016/j.jqsrt.2007.12.009

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1s8l–1s9l0 (l ¼ l0 ¼ 0,1)1S0

o–1P1 9.52(�1) 7.36(�1)a 1.09(9) 1.11(9)a

3S1o–3P0 9.70(�2) 7.91(�2)a 9.35(8) 1.10(9)a

3S1o–3P1 2.86(�1) 2.37(�1)a 9.22(8) 1.10(9)a

3S1o–3P2 4.73(�1) 3.96(�1)a 9.30(8) 1.10(9)a

1P1o–1S0 4.73(�1) 1.60(�1)a 1.19(10) 2.04(9)a

3P0o–3S1 4.49(�1) 1.65(�1)a 1.20(9) 2.35(8)a

3P1o–3S1 4.43(�1) 1.64(�1)a 3.56(9) 7.04(8)a

3P2o–3S1 4.66(�1) 1.64(�1)a 6.18(9) 1.16(9)a

1s2l–1s2l0 (l ¼ l0 ¼ 0,1)1S0–

1P1o 2.58(�2) 3.68(�2)a, 1.24(�2)b,

3.70(�2)d, 3.628(�2)j2.94(7) 8.32(7)a, 8.39(7)b, 8.61(7)d, 7.40(7)f,

8.208(7)j

3S1–1P1

o 2.25(�4) 7.07(�4)d, 2.517(�4)j 7.96(6) 9.96(6)d, 1.001(7)j

3S1–3P0

o 4.66(�3) 5.20(�3)a, 1.67(�2)b,

4.70(�2)d, 5.142(�3)j1.31(8) 1.82(8)a, 2.23(8)b, 1.89(8)d, 1.88(8)f,

1.799(8)j

3S1–3P1

o 1.42(�2) 1.60(�2)a, 1.67(�2)b,

4.80(�2)d, 1.569(�2)j1.40(8) 1.96(8)a, 2.23(8)b, 2.02(8)d, 2.04(8)f,

1.920(8)j

3S1–3P2

o 2.63(�2) 2.92(�2)a, 1.67(�2)b,

5.30(�2)d, 2.903(�2)j1.89(8) 2.58(8)a, 2.23(8)b, 2.66(8)d, 2.62(8)f,

2.562(8)j

3P1o–1S0 3.53(�5) 6.77(�3)d, 7.241(�6)j 9.91(4) 5.87(11)d, 9.094(2)j

1s3l–1s3l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

1P1o 1.86(�2) 6.43(�2)a, 2.14(�2)b,

6.40(�2)e, 6.52(�2)j3.07(5) 1.23(7)a,b, 1.356(7)j

3S1–1P1

o 3.43(�3) 4.566(�4)j 5.56(5) 1.377(6)j

3S1–3P0

o 3.26(�3) 8.69(�3)a, 2.80(�2)b,

8.694(�3)j1.24(6) 2.31(7)a, 2.88(7)b¸2.236(7)j

3S1–3P1

o 1.04(�2) 2.68(�2)a, 2.80(�2)b,

8.00(�2)e, 2.643(�2)j1.54(6) 2.50(7)a, 2.88(7)b, 2.38(7)j

3S1–3P2

o 2.26(�2) 4.93(�2)a, 2.80(�2)b,

4.888(�2)j3.32(6) 3.36(7)a, 2.88(7)b, 3.189(7)j

1P1o–1D2 1.23(�2) 1.76(�3)a, 3.35(�3)b,

1.966(�3)j1.14(6) 2.03(4)a, 3.05(4)b, 3.85(4)j

1P1o–3D1 2.64(�5) 1.443(�5)j 2.58(3) 4.433(2)j

1P1o–3D2 1.07(�3) 4.900(�4)j 6.43(4) 2.483(7)j

3P0o–3D1 4.33(�2) 2.28(�2)a, 7.02(�3)b,

2.256(�2)j2.18(7) 3.18(6)a, 2.49(6)b, 3.035(6)j

3P1o–1S0 1.76(�4) 2.052(�7)j 2.35(5) 4.694(�3)j

3P1o–1D2 2.79(�3) 2.102(�3)j 2.75(6) 5.815(5)j

3P1o–3D1 1.05(�2) 5.49(�3)a, 5.27(�3)b,

5.399(�3)j1.52(7) 2.12(6)a, 1.87(6)b, 2.023(6)j

3P1o–3D2 1.14(�3) 1.65(�2)a, 9.48(�3)b,

1.449(�2)j2.55(7) 3.83(6)a, 3.36(6)b, 3.267(6)j

3P2o–1D2 9.56(�4) 6.116(�4)j 1.31(6) 2.095(5)j

3P2o–3D1 3.80(�4) 1.84(�4)a, 3.51(�4)b,

1.821(�4)j7.54(5) 8.34(4)a, 1.24(5)b, 8.156(4)j

3P2o–3D2 4.88(�3) 2.77(�3)a, 3.16(�3)b,

2.221(�3)j5.85(6) 7.54(5)a, 1.12(6)b, 5.99(5)j

3P2o–3D3 3.36(�2) 1.67(�2)a, 1.26(�2)b,

1.664(�2)j3.08(7) 3.75(6)a, 4.48(6)b, 3.704(6)j

1s4p–1s4l (l ¼ 0,2)1P1

o–1S0 2.28(�2) 9.10(�2)a, 9.00(�2)e 4.11(6) 3.11(6)a

1P1o–1D2 6.83(�2) 2.95(�3)a 9.84(6) 5.26(3)a

3P0o–3S1 1.81(�2) 1.21(�2)a 2.36(5) 5.48(6)a

3P1o–3S1 1.68(�2) 3.72(�2)a, 1.10(�1)e 5.72(5) 5.93(6)a

3P2o–3S1 1.24(�2) 6.85(�2)a 3.74(5) 8.01(6)a

3P2o–3D3 1.03(�1) 2.98(�2)a 4.87(7) 1.14(6)a



doi:10.1016/j.jqsrt.2007.12.009

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1s5p–1s5l (l ¼ 0,2)1P1

o–1S0 9.66(�2) 1.17(�1)a, 1.15(�1)e 4.94(7) 1.07(6)a

1P1o–1D2 2.05(�1) 3.83(�3)a 3.47(7) 1.53(3)a

3P0o–3S1 9.07(�2) 1.53(�2)a 4.61(6) 1.77(6)a

3P1o–3S1 8.80(�2) 4.71(�2)a, 1.40(�1)e 1.29(7) 1.92(6)a

3P2o–3S1 8.26(�2) 8.69(�2)a 1.74(7) 2.61(6)a

3P2o–3D3 2.46(�1) 4.11(�2)a 8.78(7) 4.09(5)a

1s6p–1s6l (l ¼ 0,2)1P1

o–1S0 2.41(�1) 1.41(�1)a 1.72(8) 4.29(5)a

1P1o–1D2 4.73(�1) 4.70(�3)a 8.63(7) 5.89(2)a

3P0o–3S1 2.33(�1) 1.85(�2)a 1.76(7) 7.14(5)a

3P1o–3S1 2.28(�1) 5.70(�2)a 5.05(7) 7.75(5)a

3P2o–3S1 2.22(�1) 1.05(�1)a 7.62(7) 1.05(6)a

3P2o–3D3 5.08(�1) 5.12(�2)a 1.59(8) 1.69(5)a

1s7p–1s7s1P1

o–1S0 4.90(�1) 1.66(�1)a 4.04(8) 2.01(5)a

3P0o–3S1 4.78(�1) 2.17(�2)a 4.27(7) 3.30(5)a

3P1o–3S1 4.70(�1) 6.69(�2)a 1.24(8) 3.58(5)a

3P2o–3S1 4.64(�1) 1.23(�1)a 1.95(8) 4.86(5)a

1s8p–1s8s1P1

o–1S0 8.90(�1) 1.91(�1)a 7.89(8) 1.03(5)a

3P0o–3S1 8.68(�1) 2.49(�2)a 8.37(7) 1.69(5)a

3P1o–3S1 8.50(�1) 7.67(�2)a 2.44(8) 1.84(5)a

3P2o–3S1 8.48(�1) 1.42(�1)a 3.90(8) 2.49(5)a

1s9p–1s9s1P1

o–1S0 7.20(�1) 2.15(�1)a 5.36(8) 5.74(4)a

3P0o–3S1 7.99(�1) 2.81(�2)a 6.76(7) 9.38(4)a

3P1o–3S1 7.76(�1) 8.66(�2)a 1.94(8) 1.02(5)a

3P2o–3S1 7.58(�1) 1.60(�1)a 2.95(8) 1.38(5)a

aAtomic Line List v.2.04 [1].bCAMDB Atomic Spectra [4].cJohnson and Lin [11].dLin et al. [13].eLin et al. [15].fMewe and Schrijver ([16], gf-values)gDrake [17].hVerner et al. ([30], gf-values).iKimura et al. [35].jKingston et al. [36].


(n ¼ 6, n0 ¼ 7–9), (n ¼ 8, n0 ¼ 8–9)), 1snl�1sn0l0 (n ¼ n0 ¼ 2, n ¼ n0 ¼ 3) and 1snp–1sn0l0 (n ¼ n0 ¼ 4–9). Wecompare our oscillator strengths and transition probabilities data with some available theoretical results andexperimental measurements. It is seen that there exists an agreement. For Dn ¼ 0 transitions the agreement ismuch less good; this is mainly due to differences in calculated excitation energies. We may say that one of thedifficulties of the MCHF method in extending it to higher states is to maintain the orthogonality of theorbitals while retaining sufficient flexibility in the orbitals. Large differences in transition energies areresponsible for the large oscillator strengths and transition probabilities. But, when we consider the results ofother works, we also see the differences among the other works’ data. It should be noted that the accuracy ofthe experimental f-values and transition probabilities may not be very high and in some cases the differencebetween results from measurements may be larger than the differences between theoretical and experimentalresults.


doi:10.1016/j.jqsrt.2007.12.009

dx.doi.org/10.1016/j.jqsrt.2007.12.009

https://www.researchgate.net/publication/235534341_Radiative_decays_of_the_n_2_states_of_He-like_ions?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

https://www.researchgate.net/publication/234252865_Oscillator_strengths_of_transitions_between_low-lying_S_and_P_states_of_helium-like_ions?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

https://www.researchgate.net/publication/234404647_Heliumlike_ion_line_intensities_III_-_Results?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

https://www.researchgate.net/publication/2636593_Atomic_data_for_absorption_lines_from_the_ground_level_at_wavelengths_greater_than_228_A?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

https://www.researchgate.net/publication/231071775_Rate_coefficients_for_electron_impact_excitation_of_helium-like_ions_within_the_Dirac_R-matrix_approach?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

https://www.researchgate.net/publication/231027816_Spontaneous_transition_rates_for_electric_dipole_E1_magnetic_dipole_M1_electric_quadrupole_E2_and_magnetic_quadrupole_M2_transitions_for_He-like_calcium_and_sulfur_ions?el=1_x_8&enrichId=rgreq-d107490b-967a-4693-a18c-48876522644a&enrichSource=Y292ZXJQYWdlOzI0MTE5ODQ3MTtBUzoxNTQ3MTU4Nzg4NTg3NTNAMTQxMzg5ODU0ODMwMg==

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Table 3

New gf and Aki (s�1) values for E1 transitions in S XV

Transitions gf Aki (s�1)

1s2–1snp (n ¼ 4–9)1S0–4

3P1o 6.36(�4) 8.45(10)

1S0–53P1

o 3.35(�4) 4.65(10)1S0–6

3P1o 2.05(�4) 2.92(10)

1S0–73P1

o 1.41(�4) 2.04(10)1S0–8

3P1o 1.09(�4) 1.60(10)

1S0–93P1

o 1.62(�4) 2.37(10)

1s2l–1s4l0 (l ¼ 0,1; l0 ¼ 0–3)1S0–

3P1o 1.12(�3) 5.42(9)

3S1–1P1

o 1.01(�3) 5.26(9)3S1–

3F2o 3.09(�9) 9.66(3)

1P1o–3S1 1.07(�4) 5.03(8)

1P1o–3D1 7.66(�4) 3.66(9)

1P1o–3D2 2.87(�2) 8.21(10)

3P1o–1S0 6.75(�5) 1.01(9)

3P1o–1D2 1.81(�2) 5.44(10)

3P2o–1D2 1.17(�2) 3.50(10)

1s2l–1s5l0 (l ¼ 0,1; l0 ¼ 0–3)1S0–

3P1o 5.03(�4) 3.06(9)

3S1–1P1

o 4.65(�4) 3.02(9)3S1–

3F2o 5.60(�9) 2.18(4)

1P1o–3S1 4.35(�5) 2.59(8)

1P1o–3D1 2.93(�4) 1.75(9)

1P1o–3D2 9.63(�3) 3.46(10)

3P1o–1S0 2.55(�5) 4.77(8)

3P1o–1D2 6.10(�3) 2.28(10)

3P2o–1D2 4.12(�3) 1.53(10)

1s2l–1s6l0 (l ¼ 0,1; l0 ¼ 0–3)1S0–

3P1o 2.90(�4) 1.98(9)

3S1–1P1

o 2.69(�4) 1.94(9)3S1–

3F2o 1.14(�8) 4.96(4)

1P1o–3S1 2.32(�5) 1.55(8)

1P1o–3D1 1.53(�4) 1.02(9)

1P1o–3D2 4.70(�3) 1.89(10)

3P1o–1S0 1.20(�5) 2.52(8)

3P1o–1D2 2.96(�3) 1.24(10)

3P2o–1D2 2.05(�3) 8.53(9)

1s2l–1s7l0 (l ¼ 0,1; l0 ¼ 0–2)1S0–

3P1o 1.97(�4) 1.43(9)

3S1–1P1

o 1.81(�4) 1.39(9)3S1–

3F2o 5.03(�8) 2.32(5)

1P1o–3S1 1.46(�5) 1.04(8)

1P1o–1D2 4.53(�2) 1.95(11)

1P1o–3D1 9.61(�5) 6.88(8)

1P1o–3D2 2.84(�3) 1.22(10)

3P0o–3D1 1.60(�2) 1.19(11)

3P1o–1S0 6.27(�6) 1.40(8)

3P1o–1D2 1.76(�3) 7.88(9)

3P1o–3D1 1.19(�2) 8.87(10)

3P1o–3D2 3.44(�2) 1.54(11)

3P2o–1D2 1.24(�3) 5.51(9)

3P2o–3D1 7.99(�4) 5.92(9)

3P2o–3D2 1.08(�2) 4.80(10)

3P2o–3D3 6.77(�2) 2.15(11)



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1s2l–1s8l0 (l ¼ 0,1; l0 ¼ 0–3)1S0–

3P1o 1.58(�4) 1.20(9)

3S1–1P1

o 1.40(�4) 1.12(9)3S1–

3F2o 2.00(�7) 9.61(5)

1P1o–3S1 1.06(�5) 7.89(7)

1P1o–1D2 3.36(�2) 1.50(11)

1P1o–3D1 7.10(�5) 5.30(8)

1P1o–3D2 2.04(�3) 9.14(9)

3P0o–3D1 1.15(�2) 8.95(10)

3P1o–1S0 3.17(�6) 7.36(7)

3P1o–1D2 1.24(�3) 5.76(9)

3P1o–3D1 8.60(�3) 6.66(10)

3P1o–3D2 2.49(�2) 1.16(11)

3P2o–1D2 8.81(�4) 4.08(9)

3P2o–3D1 5.78(�4) 4.46(9)

3P2o–3D2 7.82(�3) 3.62(10)

3P2o–3D3 4.90(�2) 1.62(11)

1s2l–1s9l0 (l ¼ 0,1; l0 ¼ 0–3)1S0–

3P1o 3.40(�4) 2.66(9)

3S1–1P1

o 2.59(�4) 2.14(9)3S1–

3F2o 1.91(�9) 9.44(3)

1P1o–3S1 1.32(�5) 1.02(8)

1P1o–1D2 5.42(�2) 2.50(11)

1P1o–3D1 1.13(�4) 8.67(8)

1P1o–3D2 3.17(�3) 1.46(10)

3P0o–3D1 1.47(�2) 1.17(11)

3P1o–1S0 2.10(�7) 5.04(6)

3P1o–1D2 1.57(�3) 7.55(9)

3P1o–3D1 1.10(�2) 8.78(10)

3P1o–3D2 3.19(�2) 1.53(11)

3P2o–1D2 1.16(�3) 5.53(9)

3P2o–3D1 7.64(�4) 6.08(9)

3P2o–3D2 1.03(�2) 4.91(10)

3P2o–3D3 6.48(�2) 2.21(11)

1s3l–1s4l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 5.00(�3) 1.58(9)

3S1–1P1

o 3.92(�3) 1.35(9)3S1–

3F2o 8.67(�7) 1.78(5)

1P1o–3S1 1.46(�3) 4.58(8)

1P1o–3D1 4.74(�3) 1.56(9)

1P1o–3D2 1.41(�1) 2.77(10)

3P1o–1D2 7.93(�2) 1.65(10)

3P2o–1D2 5.59(�2) 1.16(10)

1D2–3P1

o 4.12(�3) 1.25(9)1D2–

3P2o 2.56(�3) 4.66(8)

1D2–1F3

o 4.42 5.83(11)1D2–

3F2o 8.60(�2) 1.58(10)

1D2–3F3

o 5.10(�1) 6.72(10)3D1–

1P1o 1.35(�4) 4.21(7)

3D1–3F2

o 3.00 5.57(11)3D2–

1P1o 5.08(�3) 1.59(9)

3D2–1F3

o 3.58(�1) 4.74(10)3D2–

3F2o 4.71(�1) 8.72(10)

3D2–3F3

o 4.18 5.53(11)3D3–

1F3o 2.37(�1) 3.13(10)

3D3–3F2

o 1.59(�2) 2.94(9)3D3–

3F3o 3.20(�1) 4.23(10)

3D3–3F4

o 6.44 6.62(11)



doi:10.1016/j.jqsrt.2007.12.009

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ARTICLE IN PRESS



1s3l–1s5l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 1.37(�3) 9.36(8)

3S1–1P1

o 1.17(�3) 8.45(8)3S1–

3F2o 9.67(�8) 4.16(4)

1P1o–3S1 3.62(�4) 2.48(8)

1P1o–3D1 1.10(�3) 7.64(8)

1P1o–3D2 2.85(�2) 1.19(10)

3P1o–1S0 2.55(�4) 5.51(8)

3P1o–1D2 1.66(�2) 7.22(9)

3P2o–1D2 1.22(�2) 5.31(9)

1D2–3P1

o 9.64(�4) 6.40(8)1D2–

3P2o 6.06(�4) 2.41(8)

1D2–1F3

o 7.04(�1) 2.01(11)1D2–

3F2o 1.36(�2) 5.44(9)

1D2–3F3

o 7.72(�2) 2.21(10)3D1–

1P1o 3.33(�5) 2.24(7)

3D1–3F2

o 4.78(�1) 1.92(11)3D2–

1P1o 1.22(�3) 8.20(8)

3D2–1F3

o 5.42(�2) 1.55(10)3D2–

3F2o 7.48(�2) 3.00(10)

3D2–3F3

o 6.67(�1) 1.91(11)3D3–

1F3o 3.70(�2) 1.06(10)

3D3–3F2

o 2.52(�3) 1.01(9)3D3–

3F3o 5.14(�2) 1.47(10)

3D3–3F4

o 1.02 2.28(11)

1s3l–1s6l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 6.54(�4) 6.14(8)

3S1–1P1

o 5.73(�4) 5.63(8)3S1–

3F2o 1.13(�8) 6.64(3)

1P1o–3S1 1.77(�4) 1.68(8)

1P1o–3D1 4.74(�4) 4.53(8)

1P1o–3D2 1.15(�2) 6.60(9)

3P1o–1S0 1.24(�4) 3.66(8)

3P1o–1D2 6.74(�3) 4.00(9)

3P2o–1D2 5.11(�3) 3.02(9)

1D2–3P1

o 4.73(�4) 4.35(8)1D2–

3P2o 2.99(�4) 1.65(8)

1D2–1F3

o 2.56(�1) 1.01(11)1D2–

3F2o 4.93(�3) 2.72(9)

1D2–3F3

o 2.72(�2) 1.07(10)3D1–

1P1o 1.67(�5) 1.55(7)

3D1–3F2

o 1.73(�1) 9.60(10)3D2–

1P1o 6.02(�4) 5.58(8)

3D2–1F3

o 1.91(�2) 7.54(9)3D2–

3F2o 2.72(�2) 1.50(10)

3D2–3F3

o 2.43(�1) 9.60(10)3D3–

1F3o 1.33(�2) 5.24(9)

3D3–3F2

o 9.12(�4) 5.04(8)3D3–

3F3o 1.88(�2) 7.42(9)

3D3–3F4

o 3.72(�1) 1.14(11)

1s3l–1s7l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 4.07(�4) 4.54(8)

3S1–1P1

o 3.58(�4) 4.15(8)3S1–

3F2o 1.72(�8) 1.19(4)

1P1o–3S1 1.22(�4) 1.37(8)

1P1o–1D2 1.08(�1) 7.34(10)

1P1o–3D1 2.76(�4) 3.12(8)



doi:10.1016/j.jqsrt.2007.12.009

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ARTICLE IN PRESS



1P1o–3D2 6.42(�3) 4.36(9)

3P0o–3D1 3.76(�2) 4.39(10)

3P1o–1S0 8.24(�5) 2.88(8)

3P1o–1D2 3.75(�3) 2.62(9)

3P1o–3D1 2.80(�2) 3.26(10)

3P1o–3D2 8.12(�2) 5.68(10)

3P2o–1D2 2.89(�3) 2.01(9)

3P2o–3D1 1.87(�3) 2.18(9)

3P2o–3D2 2.54(�2) 1.77(10)

3P2o–3D3 1.58(�1) 7.89(10)

1D2–3P1

o 3.39(�4) 3.70(8)1D2–

3P2o 2.14(�4) 1.40(8)

1D2–1F3

o 1.33(�1) 6.24(10)1D2–

3F2o 2.56(�3) 1.68(9)

1D2–3F3

o 1.39(�2) 6.50(9)3D1–

1P1o 1.20(�5) 1.32(7)

3D1–3F2

o 9.01(�2) 5.92(10)3D2–

1P1o 4.31(�4) 4.73(8)

3D2–1F3

o 9.71(�3) 4.56(9)3D2–

3F2o 1.41(�2) 9.28(9)

3D2–3F3

o 1.26(�1) 5.93(10)3D3–

1F3o 6.85(�3) 3.21(9)

3D3–3F2

o 4.70(�4) 3.09(8)3D3–

3F3o 9.81(�3) 4.60(9)

3D3–3F4

o 1.93(�1) 7.04(10)

1s3l–1s8l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 3.18(�4) 3.93(8)

3S1–1P1

o 2.74(�4) 3.51(8)3S1–

3F2o 6.56(�7) 5.04(5)

1P1o–3S1 1.13(�4) 1.41(8)

1P1o–1D2 7.93(�2) 5.97(10)

1P1o–3D1 2.02(�4) 2.54(8)

1P1o–3D2 4.58(�3) 3.45(9)

3P0o–3D1 2.73(�2) 3.52(10)

3P1o–1S0 7.24(�5) 2.80(8)

3P1o–1D2 2.64(�3) 2.05(9)

3P1o–3D1 2.03(�2) 2.62(10)

3P1o–3D2 5.90(�2) 4.57(10)

3P2o–1D2 2.06(�3) 1.59(9)

3P2o–3D1 1.36(�3) 1.75(9)

3P2o–3D2 1.85(�2) 1.43(10)

3P2o–3D3 1.15(�1) 6.36(10)

1D2–3P1

o 3.41(�4) 4.13(8)1D2–

3P2o 2.22(�4) 1.61(8)

1D2–1F3

o 8.94(�2) 4.65(10)1D2–

3F2o 1.71(�3) 1.24(9)

1D2–3F3

o 9.18(�3) 4.77(9)3D1–

1P1o 1.18(�5) 1.44(7)

3D1–3F2

o 6.03(�2) 4.40(10)3D2–

1P1o 4.23(�4) 5.15(8)

3D2–1F3

o 6.40(�3) 3.34(9)3D2–

3F2o 9.42(�3) 6.88(9)

3D2–3F3

o 8.47(�2) 4.41(10)3D3–

1F3o 4.56(�3) 2.38(9)

3D3–3F2

o 3.28(�4) 2.39(8)3D3–

3F3o 6.59(�3) 3.43(9)

3D3–3F4

o 1.29(�1) 5.23(10)



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ARTICLE IN PRESS



1s3l–1s9l0 (l ¼ 0–2; l0 ¼ 0–3)1S0–

3P1o 8.05(�4) 1.07(9)

3S1–1P1

o 7.03(�4) 9.74(8)3S1–

3F2o 1.09(�7) 9.00(4)

3P0o–3D1 5.74(�2) 7.99(10)

1P1o–3S1 4.30(�4) 5.79(8)

1P1o–1D2 1.86(�1) 1.51(11)

1P1o–3D1 4.68(�4) 6.32(8)

1P1o–3D2 1.03(�2) 8.37(9)

3P1o–1S0 2.98(�4) 1.24(9)

3P1o–1D2 5.51(�3) 4.60(9)

3P1o–3D1 4.30(�2) 5.97(10)

3P1o–3D2 1.25(�1) 1.04(11)

3P2o–1D2 4.39(�3) 3.65(9)

3P2o–3D1 2.89(�3) 4.01(9)

3P2o–3D2 3.96(�2) 3.29(10)

3P2o–3D3 2.48(�1) 1.47(11)

1D2–3P1

o 1.98(�3) 2.59(9)1D2–

3P2o 1.31(�3) 1.03(9)

1D2–1F3

o 1.59(�1) 8.93(10)1D2–

3F2o 3.04(�3) 2.38(9)

1D2–3F3

o 1.62(�2) 9.05(9)3D1–

1P1o 8.81(�5) 1.16(8)

3D1–3F2

o 1.06(�1) 8.35(10)3D2–

1P1o 3.15(�3) 4.15(9)

3D2–1F3

o 1.11(�2) 6.25(9)3D2–

3F2o 1.66(�2) 1.31(10)

3D2–3F3

o 1.49(�1) 8.38(10)3D3–

1F3o 8.05(�3) 4.52(9)

3D3–3F2

o 5.67(�4) 4.45(8)3D3–

3F3o 1.17(�2) 6.54(9)

3D3–3F4

o 2.29(�1) 9.99(10)

1s4l–1s4l0 (l ¼ 0,1,3; l0 ¼ 0–3)3S1–

1P1o 6.00(�4) 8.84(3)

3S1–3F2

o 3.27(�9) 3.31(�3)1P1

o–3D1 5.16(�4) 3.49(4)1P1

o–3D2 1.43(�2) 5.84(5)3P0

o–3D1 1.29(�1) 3.16(7)3P1

o–1S0 1.81(�3) 7.40(5)3P1

o–1D2 1.70(�2) 2.66(6)3P1

o–3D1 9.46(�2) 2.25(7)3P1

o–3D2 2.71(�1) 3.89(7)3P2

o–1D2 1.15(�2) 1.60(6)3P2

o–3D1 5.91(�3) 1.25(6)3P2

o–3D2 7.89(�2) 1.00(7)1F3

o–1D2 2.18(�1) 1.81(7)1F3

o–3D2 2.32(�2) 1.71(6)1F3

o–3D3 1.16(�2) 6.47(5)3F2

o–1D2 3.49(�3) 3.00(5)3F2

o–3D1 1.46(�1) 1.84(7)3F2

o–3D2 2.38(�2) 1.81(6)3F2

o–3D3 7.86(�4) 4.53(4)3F3

o–1D2 3.38(�2) 2.92(6)3F3

o–3D2 1.96(�1) 1.51(7)3F3

o–3D3 1.60(�2) 9.25(5)3F4

o–3D3 3.17(�1) 1.77(7)



doi:10.1016/j.jqsrt.2007.12.009

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ARTICLE IN PRESS



1s4l–1s5l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 5.64(�3) 3.61(8)

3S1–1P1

o 4.26(�3) 3.00(8)3S1–

3F2o 9.19(�7) 3.82(4)

1P1o–3S1 2.54(�3) 1.78(8)

1P1o–3D1 5.13(�3) 3.76(8)

1P1o–3D2 1.24(�1) 5.44(9)

3P1o–1S0 1.72(3) 3.94(8)

3P1o–1D2 6.62(�2) 3.08(9)

3P2o–1D2 5.07(�2) 2.34(9)

1D2–3P1

o 6.87(�3) 4.24(8)1D2–

3P2o 4.84(�3) 1.80(8)

1D2–1F3

o 3.72 1.00(11)1D2–

3F2o 5.86(�2) 2.20(9)

1D2–3F3

o 5.45(�1) 1.46(10)3D1–

1P1o 3.33(�4) 2.13(7)

3D1–3F2

o 2.58 9.77(10)3D2–

1P1o 8.85(�3) 5.67(8)

3D2–1F3

o 4.00(�1) 1.08(10)3D2–

3F2o 4.21(�1) 1.59(10)

3D2–3F3

o 3.49 9.42(10)3D3–

1F3o 2.00(�1) 5.40(9)

3D3–3F2

o 1.37(�2) 5.16(8)3D3–

3F3o 2.79(�1) 7.52(9)

3D3–3F4

o 5.55 1.16(11)1F3

o–1D2 5.52(�2) 2.48(9)1F3

o–3D2 7.21(�3) 3.24(8)1F3

o–3D3 3.13(�3) 1.01(8)3F2

o–3S1 1.13(�8) 8.10(2)3F2

o–1D2 7.97(�4) 3.59(7)3F2

o–3D1 4.01(�2) 3.00(9)3F2

o–3D2 6.61(�3) 2.97(8)3F2

o–3D3 2.00(�4) 6.43(6)3F3

o–1D2 9.20(�3) 4.15(8)3F3

o–3D2 5.29(�2) 2.38(9)3F3

o–3D3 4.20(�3) 1.35(8)3F4

o–3D3 8.52(�2) 2.74(9)

1s4l–1s6l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 1.58(�3) 2.49(8)

3S1–1P1

o 1.30(�3) 2.16(8)3S1–

3F2o 1.16(�7) 1.15(4)

1P1o–3S1 6.26(�4) 1.05(8)

1P1o–3D1 1.28(�3) 2.19(8)

1P1o–3D2 2.88(�2) 2.95(9)

3P1o–1S0 4.47(�4) 2.36(8)

3P1o–1D2 1.61(�2) 1.71(9)

3P2o–1D2 1.26(�2) 1.33(9)

1D2–3P1

o 1.67(�3) 2.56(8)1D2–

3P2o 1.18(�3) 1.09(8)

1D2–1F3

o 8.19(�1) 5.42(10)1D2–

3F2o 1.28(�2) 1.19(9)

1D2–3F3

o 1.16(�1) 7.70(9)3D1–

1P1o 8.41(�5) 1.31(7)

3D1–3F2

o 5.69(�1) 5.28(10)3D2–

1P1o 2.20(�3) 3.43(8)

3D2–1F3

o 8.57(�2) 5.69(9)3D2–

3F2o 9.25(�2) 8.60(9)



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ARTICLE IN PRESS



3D2–3F3

o 7.69(�1) 5.11(10)3D3–

1F3o 4.35(�2) 2.89(9)

3D3–3F2

o 2.99(�3) 2.78(8)3D3–

3F3o 6.18(�2) 4.09(9)

3D3–3F4

o 1.22 6.28(10)1F3

o–1D2 1.13(�2) 1.18(9)1F3

o–3D2 1.57(�3) 1.63(8)1F3

o–3D3 6.48(�4) 4.81(7)3F2

o–3S1 2.51(�9) 4.26(2)3F2

o–1D2 1.57(�4) 1.63(7)3F2

o–3D1 8.28(�3) 1.43(9)3F2

o–3D2 1.38(�3) 1.43(8)3F2

o–3D3 4.11(�5) 3.06(6)3F3

o–1D2 1.98(�3) 2.06(8)3F3

o–3D2 1.08(�2) 1.13(9)3F3

o–3D3 8.69(�4) 6.46(7)3F4

o–3D3 1.76(�2) 1.31(9)

1s4l–1s7l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 7.83(�4) 1.83(8)

3S1–1P1

o 6.60(�4) 1.61(8)3S1–

3F2o 3.63(�9) 5.27(2)

1P1o–3S1 3.15(�4) 7.77(7)

1P1o–1D2 2.18(�1) 3.26(10)

1P1o–3D1 5.91(�4) 1.47(8)

1P1o–3D2 1.28(�2) 1.91(9)

3P0o–3D1 7.44(�2) 1.91(10)

3P1o–1S0 2.23(�4) 1.72(8)

3P1o–1D2 7.17(�3) 1.11(9)

3P1o–3D1 5.54(�2) 1.42(10)

3P1o–3D2 1.61(�1) 2.48(10)

3P2o–1D2 5.71(�3) 8.77(8)

3P2o–3D1 3.72(�3) 9.51(8)

3P2o–3D2 5.04(�2) 7.74(9)

3P2o–3D3 3.14(�1) 3.44(10)

1D2–3P1

o 8.45(�4) 1.93(8)1D2–

3P2o 6.00(�4) 8.25(7)

1D2–1F3

o 3.44(�1) 3.39(10)1D2–

3F2o 5.38(�3) 7.40(8)

1D2–3F3

o 4.81(�2) 4.73(9)3D1–

1P1o 4.29(�5) 9.93(6)

3D1–3P0

o 6.64(�3) 4.58(9)3D1–

3P1o 4.94(�3) 1.14(9)

3D1–3P2

o 3.37(�4) 4.65(7)3D1–

3F2o 2.39(�1) 3.30(10)

3D2–1P1

o 1.11(�3) 2.56(8)3D2–

3P1o 1.41(�2) 3.25(9)

3D2–3P2

o 4.22(�3) 5.82(8)3D2–

1F3o 3.54(�2) 3.49(9)

3D2–3F2

o 3.89(�2) 5.37(9)3D2–

3F3o 3.24(�1) 3.19(10)

3D3–1F3

o 1.82(�2) 1.79(9)3D3–

3F2o 1.25(�3) 1.72(8)

3D3–3F3

o 2.61(�2) 2.57(9)3D3–

3F4o 5.12(�1) 3.92(10)

1F3o–1D2 5.47(�3) 8.29(8)

1F3o–3D2 7.82(�4) 1.18(8)

1F3o–3D3 3.14(�4) 3.40(7)



doi:10.1016/j.jqsrt.2007.12.009

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ARTICLE IN PRESS



3F2o–3S1 1.63(�9) 4.08(2)

3F2o–1D2 7.35(�5) 1.11(7)

3F2o–3D1 4.01(�3) 1.01(9)

3F2o–3D2 6.69(�4) 1.01(8)

3F2o–3D3 2.00(�5) 2.16(6)

3F3o–1D2 9.82(�4) 1.49(8)

3F3o–3D2 5.23(�3) 7.92(8)

3F3o–3D3 4.21(�4) 4.56(7)

3F4o–3D3 8.55(�3) 9.25(8)

1s4l–1s8l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 5.35(�4) 1.56(8)

3S1–1P1

o 4.48(�4) 1.35(8)3S1–

3F2o 1.32(�6) 2.38(5)

1P1o–3S1 2.41(�4) 7.37(7)

1P1o–1D2 1.40(�1) 2.60(10)

1P1o–3D1 3.80(�4) 1.17(8)

1P1o–3D2 7.97(�3) 1.48(9)

3P0o–3D1 4.78(�2) 1.51(10)

3P1o–1S0 1.65(�4) 1.56(8)

3P1o–1D2 4.47(�3) 8.49(8)

3P1o–3D1 3.56(�2) 1.13(10)

3P1o–3D2 1.04(�1) 1.97(10)

3P2o–1D2 3.60(�3) 6.82(8)

3P2o–3D1 2.39(�3) 7.54(8)

3P2o–3D2 3.25(�2) 6.15(9)

3P2o–3D3 2.02(�1) 2.73(10)

1D2–3P1

o 6.76(�4) 1.93(8)1D2–

3P2o 4.92(�4) 8.46(7)

1D2–1F3

o 2.05(�1) 2.51(10)1D2–

3F2o 3.18(�3) 5.46(8)

1D2–3F3

o 2.82(�2) 3.46(9)3D1–

1P1o 3.37(�5) 9.72(6)

3D1–3P0

o 5.31(�3) 4.57(9)3D1–

3P1o 3.95(�3) 1.13(9)

3D1–3P2

o 2.14(�4) 3.69(7)3D1–

3F2o 1.42(�1) 2.44(10)

3D2–1P1

o 8.66(�4) 2.50(8)3D2–

3P1o 1.13(�2) 3.25(9)

3D2–3P2

o 3.45(�3) 5.94(8)3D2–

1F3o 2.08(�2) 2.55(9)

3D2–3F2

o 2.30(�2) 3.96(9)3D2–

3F3o 1.92(�1) 2.37(10)

3D3–1F3

o 1.07(�2) 1.32(9)3D3–

3F2o 7.74(�4) 1.33(8)

3D3–3F3

o 1.55(�2) 1.90(9)3D3–

3F4o 3.04(�1) 2.90(10)

1F3o–1D2 4.55(�3) 8.52(8)

1F3o–3D2 6.65(�4) 1.25(8)

1F3o–3D3 2.63(�4) 3.51(7)

3F2o–3S1 1.96(�9) 6.08(2)

3F2o–1D2 6.00(�5) 1.12(7)

3F2o–3D1 3.35(�3) 1.05(9)

3F2o–3D2 5.60(�4) 1.05(8)

3F2o–3D3 1.67(�5) 2.24(6)

3F3o–1D2 8.31(�4) 1.56(8)

3F3o–3D2 4.36(�3) 8.16(8)

3F3o–3D3 3.51(�4) 4.70(7)

3F4o–3D3 7.15(�3) 9.55(8)



doi:10.1016/j.jqsrt.2007.12.009

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ARTICLE IN PRESS



1s4l–1s9l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 1.21(�3) 4.10(8)

3S1–1P1

o 1.07(�3) 3.78(8)3S1–

3F2o 3.00(�7) 6.27(4)

1P1o–3S1 7.57(�4) 2.69(8)

1P1o–1D2 2.94(�1) 6.33(10)

1P1o–3D1 7.85(�4) 2.81(8)

1P1o–3D2 1.61(�2) 3.45(9)

3P0o–3D1 9.25(�2) 3.39(10)

3P1o–1S0 5.75(�4) 6.32(8)

3P1o–1D2 8.57(�3) 1.89(9)

3P1o–3D1 6.92(�2) 2.54(10)

3P1o–3D2 2.02(�1) 4.43(10)

3P2o–1D2 7.03(�3) 1.54(9)

3P2o–3D1 4.65(�3) 1.70(9)

3P2o–3D2 6.37(�2) 1.40(10)

3P2o–3D3 3.98(�1) 6.23(10)

1D2–3P1

o 3.12(�3) 1.04(9)1D2–

3P2o 2.31(�3) 4.63(8)

1D2–1F3

o 3.31(�1) 4.73(10)1D2–

3F2o 5.13(�3) 1.02(9)

1D2–3F3

o 4.50(�2) 6.43(9)3D1–

1P1o 1.96(�4) 6.62(7)

3D1–3P0

o 2.42(�2) 2.43(10)3D1–

3P1o 1.81(�2) 6.04(9)

3D1–3P2

o 1.17(�3) 2.35(8)3D1–

3F2o 2.27(�1) 4.55(10)

3D2–1P1

o 5.04(�3) 1.70(9)3D2–

3P1o 5.19(�2) 1.73(10)

3D2–3P2

o 1.60(�2) 3.22(9)3D2–

1F3o 3.30(�2) 4.72(9)

3D2–3F2

o 3.69(�2) 7.39(9)3D2–

3F3o 3.08(�1) 4.41(10)

3D3–1F3

o 1.72(�2) 2.46(9)3D3–

3F4o 4.89(�1) 5.44(10)

3D3–3F3

o 2.50(�2) 3.57(9)3D3–

3F2o 1.21(�3) 2.43(8)

1F3o–1D2 3.11(�2) 6.76(9)

1F3o–3D2 4.49(�3) 9.73(8)

1F3o–3D3 1.77(�3) 2.74(8)

3F2o–3S1 1.91(�8) 6.86(3)

3F2o–1D2 4.03(�4) 8.74(7)

3F2o–3D1 2.22(�2) 8.02(9)

3F2o–3D2 3.71(�3) 8.05(8)

3F2o–3D3 1.15(�4) 1.77(7)

3F3o–1D2 5.75(�3) 1.25(9)

3F3o–3D2 2.88(�2) 6.24(9)

3F3o–3D3 2.35(�3) 3.65(8)

3F4o–3D3 4.80(�2) 7.44(9)

1s5l–1s5l0 (l ¼ 0,3; l0 ¼ 0–2)1P1

o–3S1 1.23(�3) 1.14(4)1P1

o–3D1 1.64(�3) 1.41(5)1P1

o–3D2 3.83(�2) 1.99(6)3P0

o–3D1 3.02(�1) 5.39(7)3P1

o–1S0 4.60(�3) 1.82(6)3P1

o–1D2 3.35(�2) 3.74(6)3P1

o–3D1 2.23(�1) 3.90(7)



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ARTICLE IN PRESS



3P1o–3D2 6.44(�1) 6.79(7)

3P2o–1D2 2.47(�2) 2.56(6)

3P2o–3D1 1.42(�2) 2.31(6)

3P2o–3D2 1.92(�1) 1.87(7)

1F3o–1D2 7.70(�1) 6.35(7)

1F3o–3D2 9.02(�2) 6.94(6)

1F3o–3D3 4.12(�2) 2.33(6)

3F2o–3S1 6.82(�8) 1.82

3F2o–1D2 1.12(�2) 9.39(5)

3F2o–3D1 5.28(�1) 6.87(7)

3F2o–3D2 8.73(�2) 6.83(6)

3F2o–3D3 2.80(�3) 1.61(5)

3F3o–1D2 1.25(�1) 1.05(7)

3F3o–3D2 7.05(�1) 5.53(7)

3F3o–3D3 5.79(�2) 3.35(6)

3F4o–3D3 1.14 6.48(7)

1s5l–1s6l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 6.18(�3) 1.08(8)

3S1–1P1

o 4.49(�3) 8.68(7)3S1–

3F2o 6.67(�7) 7.56(3)

1P1o–3S1 3.82(�3) 8.38(7)

1P1o–3D1 5.67(�3) 1.31(8)

1P1o–3D2 1.23(�1) 1.70(9)

3P1o–1S0 2.55(�3) 1.83(8)

3P1o–1D2 6.34(�2) 9.27(8)

3P2o–1D2 5.08(�2) 7.38(8)

1D2–3P1

o 9.58(�3) 1.61(8)1D2–

3P2o 7.16(�3) 7.28(7)

1D2–1F3

o 3.41 2.50(10)1D2–

3F2o 4.91(�2) 5.03(8)

1D2–3F3

o 5.37(�1) 3.93(9)3D1–

1P1o 5.46(�4) 9.63(6)

3D1–3F2

o 2.38 2.46(10)3D2–

1P1o 1.25(�2) 2.20(8)

3D2–1F3

o 3.98(�1) 2.94(9)3D2–

3F2o 3.92(�1) 4.05(9)

3D2–3F3

o 3.18 2.34(10)3D3–

1F3o 1.82(�1) 1.34(9)

3D3–3F2

o 1.26(�2) 1.29(8)3D3–

3F3o 2.60(�1) 1.91(9)

3D3–3F4

o 5.11 2.92(10)1F3

o–1D2 1.46(�1) 2.08(9)1F3

o–3D2 1.93(�2) 2.75(8)1F3

o–3D3 8.17(�3) 8.31(7)3F2

o–3S1 2.17(�8) 4.91(2)3F2

o–1D2 2.01(�3) 2.87(7)3F2

o–3D1 1.06(�1) 2.52(9)3F2

o–3D2 1.77(�2) 2.51(8)3F2

o–3D3 5.28(�4) 5.38(6)3F3

o–1D2 2.45(�2) 3.50(8)3F3

o–3D2 1.40(�1) 1.99(9)3F3

o–3D3 1.13(�2) 1.15(8)3F4

o–3D3 2.26(�1) 2.30(9)

1s5l–1s7l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 1.79(�3) 8.54(7)

3S1–1P1

o 1.42(�3) 7.15(7)3S1–

3F2o 8.26(�11) 2.48



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ARTICLE IN PRESS



1P1o–3S1 9.44(�4) 5.23(7)

1P1o–1D2 5.23(�1) 1.78(10)

1P1o–3D1 1.46(�3) 8.27(7)

1P1o–3D2 3.04(�2) 1.03(9)

3P0o–3D1 1.74(�1) 1.02(10)

3P1o–1S0 6.66(�4) 1.16(8)

3P1o–1D2 1.64(�2) 5.78(8)

3P1o–3D1 1.29(�1) 7.57(9)

3P1o–3D2 3.76(�1) 1.32(10)

3P2o–1D2 1.33(�2) 4.66(8)

3P2o–3D1 8.73(�3) 5.08(8)

3P2o–3D2 1.18(�1) 4.13(9)

3P2o–3D3 7.35(�1) 1.84(10)

1D2–3P1

o 2.46(�3) 1.15(8)1D2–

3P2o 1.84(�3) 5.18(7)

1D2–1F3

o 8.61(�1) 1.73(10)1D2–

3F2o 1.24(�2) 3.49(8)

1D2–3F3

o 1.33(�1) 2.68(9)3D1–

1P1o 1.44(�4) 6.89(6)

3D1–3P0

o 2.25(�2) 3.18(9)3D1–

3P1o 1.68(�2) 7.88(8)

3D1–3P2

o 1.13(�3) 3.20(7)3D1–

3F2o 6.02(�1) 1.70(10)

3D2–1P1

o 3.25(�3) 1.55(8)3D2–

3P1o 4.84(�2) 2.27(9)

3D2–3P2

o 1.45(�2) 4.09(8)3D2–

1F3o 9.93(�2) 2.01(9)

3D2–3F2

o 9.93(�2) 2.81(9)3D2–

3F3o 8.05(�1) 1.63(10)

3D3–1F3

o 4.58(�2) 9.25(8)3D3–

3F2o 3.14(�3) 8.88(7)

3D3–3F3

o 6.58(�2) 1.33(9)3D3–

3F4o 1.29 2.03(10)

1F3o–1D2 3.21(�2) 1.11(9)

1F3o–3D2 4.39(�3) 1.52(8)

1F3o–3D3 1.80(�3) 4.45(7)

3F2o–3S1 5.34(�9) 3.02(2)

3F2o–1D2 4.30(�4) 1.49(7)

3F2o–3D1 2.34(�2) 1.35(9)

3F2o–3D2 3.91(�3) 1.35(8)

3F2o–3D3 1.16(�4) 2.87(6)

3F3o–1D2 5.55(�3) 1.92(8)

3F3o–3D2 3.07(�2) 1.06(9)

3F3o–3D3 2.49(�3) 6.16(7)

3F4o–3D3 4.99(�2) 1.23(9)

1s5l–1s8l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 9.57(�4) 7.24(7)

3S1–1P1

o 7.70(�4) 6.07(7)3S1–

3F2o 2.57(�6) 1.20(5)

1P1o–3S1 5.20(�4) 4.44(7)

1P1o–1D2 2.62(�1) 1.36(10)

1P1o–3D1 7.29(�4) 6.31(7)

1P1o–3D2 1.48(�2) 7.67(8)

3P0o–3D1 8.78(�2) 7.81(9)

3P1o–1S0 3.62(�4) 9.63(7)

3P1o–1D2 8.06(�3) 4.30(8)

3P1o–3D1 6.54(�2) 5.81(9)



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ARTICLE IN PRESS



3P1o–3D2 1.91(�1) 1.02(10)

3P2o–1D2 6.60(�3) 3.51(8)

3P2o–3D1 4.40(�3) 3.90(8)

3P2o–3D2 5.98(�2) 3.18(9)

3P2o–3D3 3.72(�1) 1.41(10)

1D2–3P1

o 1.39(�3) 1.03(8)1D2–

3P2o 1.07(�3) 4.76(7)

1D2–1F3

o 4.08(�1) 1.30(10)1D2–

3F2o 5.82(�3) 2.60(8)

1D2–3F3

o 6.23(�2) 1.99(9)3D1–

1P1o 8.03(�5) 6.06(6)

3D1–3P0

o 1.28(�2) 2.86(9)3D1–

3P1o 9.48(�3) 7.08(8)

3D1–3P2

o 5.21(�4) 2.34(7)3D1–

3F2o 2.85(�1) 1.28(10)

3D2–1P1

o 1.80(�3) 1.36(8)3D2–

3P1o 2.74(�2) 2.04(9)

3D2–3P2

o 8.37(�3) 3.75(8)3D2–

1F3o 4.65(�2) 1.49(9)

3D2–3F2

o 4.69(�2) 2.10(9)3D2–

3F3o 3.82(�1) 1.22(10)

3D3–1F3

o 2.16(�2) 6.91(8)3D3–

3F2o 1.57(�3) 7.01(7)

3D3–3F3

o 3.13(�2) 1.00(9)3D3–

3F4o 6.12(�1) 1.52(10)

1F3o–1D2 1.76(�2) 9.25(8)

1F3o–3D2 2.46(�3) 1.29(8)

1F3o–3D3 9.90(�4) 3.72(7)

3F2o–3S1 4.44(�9) 3.85(2)

3F2o–1D2 2.31(�4) 1.22(7)

3F2o–3D1 1.29(�2) 1.13(9)

3F2o–3D2 2.15(�3) 1.13(8)

3F2o–3D3 6.38(�5) 2.40(6)

3F3o–1D2 3.08(�3) 1.63(8)

3F3o–3D2 1.68(�2) 8.87(8)

3F3o–3D3 1.37(�3) 5.14(7)

3F4o–3D3 2.74(�2) 1.03(9)

1s5l–1s9l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 1.82(�3) 1.83(8)

3S1–1P1

o 1.59(�3) 1.68(8)3S1–

3F2o 6.01(�7) 3.73(4)

1P1o–3S1 1.26(�3) 1.41(8)

1P1o–1D2 4.59(�1) 3.13(10)

1P1o–3D1 1.26(�3) 1.43(8)

1P1o–3D2 2.49(�2) 1.69(9)

3P0o–3D1 1.45(�1) 1.69(10)

3P1o–1S0 9.93(�4) 3.46(8)

3P1o–1D2 1.32(�2) 9.21(8)

3P1o–3D1 1.08(�1) 1.26(10)

3P1o–3D2 3.16(�1) 2.20(10)

3P2o–1D2 1.10(�2) 7.64(8)

3P2o–3D1 7.30(�3) 8.45(8)

3P2o–3D2 9.99(�2) 6.94(9)

3P2o–3D3 6.23(�1) 3.09(10)

1D2–3P1

o 4.79(�3) 4.77(8)1D2–

3P2o 3.73(�3) 2.23(8)

1D2–1F3

o 5.66(�1) 2.41(10)



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ARTICLE IN PRESS



1D2–3F2

o 8.06(�3) 4.80(8)1D2–

3F3o 8.53(�2) 3.62(9)

3D1–1P1

o 3.46(�4) 3.51(7)3D1–

3P0o 4.35(�2) 1.30(10)

3D1–3P1

o 3.25(�2) 3.24(9)3D1–

3P2o 2.10(�3) 1.26(8)

3D1–3F2

o 3.93(�1) 2.34(10)3D2–

1P1o 7.74(�3) 7.84(8)

3D2–3P1

o 9.40(�2) 9.38(9)3D2–

3P2o 2.91(�2) 1.75(9)

3D2–1F3

o 6.36(�2) 2.71(9)3D2–

3F2o 6.47(�2) 3.86(9)

3D2–3F3

o 5.26(�1) 2.24(10)3D3–

1F3o 2.97(�2) 1.27(9)

3D3–3F2

o 2.10(�3) 1.25(8)3D3–

3F3o 4.32(�2) 1.84(9)

3D3–3F4

o 8.46(�1) 2.80(10)1F3

o–1D2 8.48(�2) 5.85(9)1F3

o–3D2 1.17(�2) 8.07(8)1F3

o–3D3 4.71(�3) 2.32(8)3F2

o–3S1 3.86(�8) 4.37(3)3F2

o–1D2 1.09(�3) 7.55(7)3F2

o–3D1 6.03(�2) 6.93(9)3F2

o–3D2 1.01(�2) 6.96(8)3F2

o–3D3 3.09(�4) 1.52(7)3F3

o–1D2 1.51(�2) 1.04(9)3F3

o–3D2 7.88(�2) 5.43(9)3F3

o–3D3 6.48(�3) 3.19(8)3F4

o–3D3 1.30(�1) 6.41(9)

1s6l–1s6l0 (l ¼ 1,3; l0 ¼ 0,2)1P1

o–3S1 5.26(�3) 1.95(5)1P1

o–3D1 3.88(�3) 3.73(5)1P1

o–3D2 8.28(�2) 4.79(6)3P0

o–3D1 6.16(�1) 9.45(7)3P1

o–1S0 9.78(�3) 3.81(6)3P1

o–1D2 6.22(�2) 5.90(6)3P1

o–3D1 4.56(�1) 6.91(7)3P1

o–3D2 1.33 1.20(8)3P2

o–1D2 4.81(�2) 4.34(6)3P2

o–3D1 2.96(�2) 4.26(6)3P2

o–3D2 4.01(�1) 3.46(7)1F3

o–1D2 1.86 1.51(8)1F3

o–3D2 2.27(�1) 1.77(7)1F3

o–3D3 9.94(�2) 5.63(6)3F2

o–3S1 1.25(�7) 7.453F2

o–1D2 2.57(�2) 2.12(6)3F2

o–3D1 1.29 1.69(8)3F2

o–3D2 2.15(�1) 1.69(7)3F2

o–3D3 6.76(�3) 3.87(5)3F3

o–1D2 3.09(�1) 2.54(7)3F3

o–3D2 1.71 1.35(8)3F3

o–3D3 1.42(�1) 8.13(6)3F4

o–3D3 2.79 1.58(8)

1s6l–1s7l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 6.58(�3) 3.71(7)

3S1–1P1

o 4.56(�3) 2.90(7)3S1–

3F2o 1.47(�8) 5.43(1)



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ARTICLE IN PRESS



1P1o–3S1 5.39(�3) 4.70(7)

1P1o–1D2 2.24 1.24(10)

1P1o–3D1 6.40(�3) 5.88(7)

1P1o–3D2 1.31(�1) 7.20(8)

3P0o–3D1 6.97(�1) 6.76(9)

3P1o–1S0 3.48(�3) 1.00(8)

3P1o–1D2 6.51(�2) 3.79(8)

3P1o–3D1 5.21(�1) 5.04(9)

3P1o–3D2 1.52 8.80(9)

3P2o–1D2 5.36(�2) 3.11(8)

3P2o–3D1 3.55(�2) 3.41(8)

3P2o–3D2 4.80(�1) 2.77(9)

3P2o–3D3 2.98 1.23(10)

1D2–3P1

o 1.21(�2) 6.61(7)1D2–

3P2o 9.29(�3) 3.07(7)

1D2–1F3

o 3.21 7.61(9)1D2–

3F2o 4.42(�2) 1.46(8)

1D2–3F3

o 5.22(�1) 1.24(9)3D1–

1P1o 7.41(�4) 4.28(6)

3D1–3P0

o 1.20(�1) 1.98(9)3D1–

3P1o 8.91(�2) 4.91(8)

3D1–3P2

o 5.95(�3) 1.98(7)3D1–

3F2o 2.24 7.50(9)

3D2–1P1

o 1.56(�2) 8.99(7)3D2–

3P1o 2.58(�1) 1.42(9)

3D2–3P2

o 7.73(�2) 2.57(8)3D2–

1F3o 3.89(�1) 9.29(8)

3D2–3F2

o 3.73(�1) 1.25(9)3D2–

3F3o 2.98 7.11(9)

3D3–1F3

o 1.71(�1) 4.07(8)3D3–

3F2o 1.17(�2) 3.90(7)

3D3–3F3

o 2.46(�1) 5.86(8)3D3–

3F4o 4.82 8.93(9)

1F3o–1D2 2.66(�1) 1.52(9)

1F3o–3D2 3.54(�2) 2.02(8)

1F3o–3D3 1.47(�2) 6.00(7)

3F2o–3S1 6.22(�9) 5.62(1)

3F2o–1D2 3.54(�3) 2.03(7)

3F2o–3D1 1.94(�1) 1.84(9)

3F2o–3D2 3.23(�2) 1.84(8)

3F2o–3D3 9.46(�4) 3.86(6)

3F3o–1D2 4.47(�2) 2.56(8)

3F3o–3D2 2.55(�1) 1.45(9)

3F3o–3D3 2.07(�2) 8.46(7)

3F4o–3D3 4.12(�1) 1.68(9)

1s6l–1s8l0 (l ¼ 1,3; l0 ¼ 0–3)1S0–

3P1o 2.05(�3) 3.55(7)

3S1–1P1

o 1.54(�3) 2.84(7)3S1–

3F2o 5.68(�6) 6.17(4)

1P1o–3S1 1.40(�3) 3.16(7)

1P1o–1D2 6.04(�1) 8.40(9)

1P1o–3D1 1.71(�3) 3.96(7)

1P1o–3D2 3.40(�2) 4.72(8)

3P0o–3D1 1.97(�1) 4.71(9)

3P1o–1S0 9.54(�4) 6.82(7)

3P1o–1D2 1.78(�2) 2.56(8)

3P1o–3D1 1.47(�1) 3.51(9)



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3P1o–3D2 4.28(�1) 6.14(9)

3P2o–1D2 1.48(�2) 2.11(8)

3P2o–3D1 9.93(�3) 2.36(8)

3P2o–3D2 1.35(�1) 1.93(9)

3P2o–3D3 8.36(�1) 8.53(9)

1D2–3P1

o 3.48(�3) 5.91(7)1D2–

3P2o 2.74(�3) 2.80(7)

1D2–1F3

o 9.10(�1) 6.65(9)1D2–

3F2o 1.24(�2) 1.27(8)

1D2–3F3

o 1.46(�1) 1.07(9)3D1–

1P1o 2.15(�4) 3.75(6)

3D1–3P0

o 3.47(�2) 1.78(9)3D1–

3P1o 2.57(�2) 4.40(8)

3D1–3P2

o 1.43(�3) 1.47(7)3D1–

3F2o 6.39(�1) 6.56(9)

3D2–1P1

o 4.48(�3) 7.81(7)3D2–

3P1o 7.46(�2) 1.27(9)

3D2–3P2

o 2.28(�2) 2.34(8)3D2–

1F3o 1.10(�1) 8.03(8)

3D2–3F2

o 1.06(�1) 1.08(9)3D2–

3F3o 8.50(�1) 6.23(9)

3D3–1F3

o 4.84(�2) 3.54(8)3D3–

3F2o 3.53(�3) 3.61(7)

3D3–3F3

o 7.01(�2) 5.14(8)3D3–

3F4o 1.37 7.81(9)

1F3o–1D2 6.46(�2) 9.17(8)

1F3o–3D2 8.80(�3) 1.25(8)

1F3o–3D3 3.59(�3) 3.64(7)

3F2o–3S1 2.40(�9) 5.54(1)

3F2o–1D2 8.47(�4) 1.20(7)

3F2o–3D1 4.73(�2) 1.12(9)

3F2o–3D2 7.91(�3) 1.12(8)

3F2o–3D3 2.30(�4) 2.33(6)

3F3o–1D2 1.11(�2) 1.57(8)

3F3o–3D2 6.20(�2) 8.80(8)

3F3o–3D3 5.06(�3) 5.13(7)

3F4o–3D3 1.00(�1) 1.02(9)

1s6l–1s9l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 2.88(�3) 8.74(7)

3S1–1P1

o 2.44(�3) 7.85(7)3S1–

3F2o 1.14(�6) 2.13(4)

1P1o–3S1 2.25(�3) 8.32(7)

1P1o–1D2 7.69(�1) 1.75(10)

1P1o–3D1 2.15(�3) 8.14(7)

1P1o–3D2 4.16(�2) 9.47(8)

3P0o–3D1 2.42(�1) 9.43(9)

3P1o–1S0 1.77(�3) 2.06(8)

3P1o–1D2 2.17(�2) 5.09(8)

3P1o–3D1 1.81(�1) 7.04(9)

3P1o–3D2 5.28(�1) 1.23(10)

3P2o–1D2 1.83(�2) 4.26(8)

3P2o–3D1 1.22(�2) 4.74(8)

3P2o–3D2 1.67(�1) 3.88(9)

3P2o–3D3 1.04 1.73(10)

1D2–3P1

o 7.78(�3) 2.33(8)1D2–

3P2o 6.23(�3) 1.12(8)

1D2–1F3

o 9.65(�1) 1.23(10)1D2–

3F2o 1.31(�2) 2.35(8)

1D2–3F3

o 1.53(�1) 1.95(9)



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ARTICLE IN PRESS



3D1–1P1

o 5.94(�4) 1.84(7)3D1–

3P0o 7.70(�2) 6.93(9)

3D1–3P1

o 5.74(�2) 1.72(9)3D1–

3P2o 3.70(�3) 6.69(7)

3D1–3F2

o 6.73(�1) 1.21(10)3D2–

1P1o 1.23(�2) 3.81(8)

3D2–3P1

o 1.67(�1) 5.01(9)3D2–

3P2o 5.16(�2) 9.33(8)

3D2–1F3

o 1.15(�1) 1.47(9)3D2–

3F2o 1.12(�1) 2.00(9)

3D2–3F3

o 8.96(�1) 1.15(10)3D3–

1F3o 5.09(�2) 6.52(8)

3D3–3F2

o 3.60(�3) 6.44(7)3D3–

3F3o 7.41(�2) 9.47(8)

3D3–3F4

o 1.45 1.44(10)1F3

o–1D2 1.85(�1) 4.29(9)1F3

o–3D2 2.50(�2) 5.77(8)1F3

o–3D3 1.01(�2) 1.68(8)3F2

o–3S1 3.52(�8) 1.32(3)3F2

o–1D2 2.38(�3) 5.53(7)3F2

o–3D1 1.32(�1) 5.08(9)3F2

o–3D2 2.21(�2) 5.11(8)3F2

o–3D3 6.64(�4) 1.10(7)3F3

o–1D2 3.21(�2) 7.46(8)3F3

o–3D2 1.73(�1) 4.00(9)3F3

o–3D3 1.43(�2) 2.36(8)3F4

o–3D3 2.84(�1) 4.69(9)

1s7l–1s7l0 (l ¼ 1,3; l0 ¼ 0,2)1P1

o–3S1 1.25(�2) 7.23(5)1P1

o–1D2 2.80 1.77(8)1P1

o–3D1 7.79(�3) 7.91(5)1P1

o–3D2 1.57(�1) 9.60(6)3P0

o–3D1 1.14 1.62(8)3P1

o–1S0 1.85(�2) 7.15(6)3P1

o–1D2 1.09(�1) 9.48(6)3P1

o–3D1 8.48(�1) 1.19(8)3P1

o–3D2 2.47 2.08(8)3P2

o–1D2 8.68(�2) 7.27(6)3P2

o–3D1 5.61(�2) 7.57(6)3P2

o–3D2 7.52(�1) 6.10(7)3P2

o–3D3 4.73 2.78(8)1F3

o–1D2 3.76 3.03(8)1F3

o–3D2 4.68(�1) 3.66(7)1F3

o–3D3 2.00(�1) 1.13(7)3F2

o–3S1 3.04(�7) 2.46(1)3F2

o–1D2 5.05(�2) 4.11(6)3F2

o–3D1 2.63 3.44(8)3F2

o–3D2 4.39(�1) 3.46(7)3F2

o–3D3 1.33(�2) 7.58(5)3F3

o–1D2 6.30(�1) 5.13(7)3F3

o–3D2 3.48 2.74(8)3F3

o–3D3 2.89(�1) 1.65(7)3F4

o–3D3 5.65 3.20(8)

1s7l–1s8l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 6.82(�3) 1.39(7)

3S1–1P1

o 4.41(�3) 1.04(7)3S1–

3F2o 1.83(�5) 2.45(4)



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ARTICLE IN PRESS



1P1o–3S1 7.54(�3) 3.14(7)

1P1o–1D2 2.56 6.79(9)

1P1o–3D1 7.40(�3) 3.26(7)

1P1o–3D2 1.45(�1) 3.83(8)

3P0o–3D1 7.78(�1) 3.61(9)

3P1o–1S0 4.58(�3) 6.32(7)

3P1o–1D2 6.96(�2) 1.95(8)

3P1o–3D1 5.82(�1) 2.70(9)

3P1o–3D2 1.69 4.71(9)

3P2o–1D2 5.86(�2) 1.63(8)

3P2o–3D1 3.99(�2) 1.84(8)

3P2o–3D2 5.39(�1) 1.49(9)

3P2o–3D3 3.33 6.58(9)

1D2–1P1

o 3.19(�1) 6.70(8)1D2–

3P1o 1.43(�2) 2.82(7)

1D2–3P2

o 1.14(�2) 1.36(7)1D2–

1F3o 3.04 2.59(9)

1D2–3F2

o 4.06(�2) 4.83(7)1D2–

3F3o 5.04(�1) 4.29(8)

3D1–1P1

o 8.85(�4) 1.88(6)3D1–

3P0o 1.49(�1) 8.90(8)

3D1–3P1

o 1.11(�1) 2.20(8)3D1–

3P2o 6.24(�3) 7.51(6)

3D1–3F2

o 2.13 2.56(9)3D2–

1P1o 1.77(�2) 3.75(7)

3D2–3P1

o 3.22(�1) 6.40(8)3D2–

3P2o 9.77(�2) 1.18(8)

3D2–1F3

o 3.75(�1) 3.22(8)3D2–

3F2o 3.53(�1) 4.24(8)

3D2–3F3

o 2.82 2.42(9)3D3–

3P2o 6.08(�1) 7.30(8)

3D3–1F3

o 1.61(�1) 1.38(8)3D3–

3F2o 1.19(�2) 1.42(7)

3D3–3F3

o 2.35(�1) 2.01(8)3D3–

3F4o 4.58 3.05(9)

1F3o–1D2 4.13(�1) 1.14(9)

1F3o–3D2 5.55(�2) 1.52(8)

1F3o–3D3 2.28(�2) 4.48(7)

3F2o–3S1 3.61(�7) 1.56(3)

3F2o–1D2 5.42(�3) 1.50(7)

3F2o–3D1 3.03(�1) 1.39(9)

3F2o–3D2 5.08(�2) 1.40(8)

3F2o–3D3 1.38(�3) 2.71(6)

3F3o–1D2 6.96(�2) 1.92(8)

3F3o–3D2 3.98(�1) 1.09(9)

3F3o–3D3 3.25(�2) 6.39(7)

3F4o–3D3 6.42(�1) 1.26(9)

1s7l–1s9l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 5.18(�3) 3.98(7)

3S1–1P1

o 4.05(�3) 3.44(7)3S1–

3F2o 2.33(�6) 1.11(4)

1P1o–3S1 4.89(�3) 5.53(7)

1P1o–1D2 1.54 1.10(10)

1P1o–3D1 4.35(�3) 5.17(7)

1P1o–3D2 8.34(�2) 5.94(8)

3P0o–3D1 4.75(�1) 5.84(9)

3P1o–1S0 3.65(�3) 1.34(8)



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ARTICLE IN PRESS



3P1o–1D2 4.22(�2) 3.12(8)

3P1o–3D1 3.56(�1) 4.36(9)

3P1o–3D2 1.04 7.63(9)

3P2o–1D2 3.57(�2) 2.63(8)

3P2o–3D1 2.42(�2) 2.96(8)

3P2o–3D2 3.28(�1) 2.41(9)

3P2o–3D3 2.04 1.07(10)

1D2–1P1

o 3.94(�1) 3.16(9)1D2–

3P1o 1.44(�2) 1.09(8)

1D2–3P2

o 1.17(�2) 5.32(7)1D2–

1F3o 1.82 5.86(9)

1D2–3F2

o 2.42(�2) 1.08(8)1D2–

3F3o 2.98(�1) 9.56(8)

3D1–1P1

o 1.10(�3) 8.84(6)3D1–

3P0o 1.50(�1) 3.41(9)

3D1–3P1

o 1.12(�1) 8.48(8)3D1–

3P2o 7.14(�3) 3.28(7)

3D1–3F2

o 1.28 5.76(9)3D2–

1P1o 2.18(�2) 1.76(8)

3D2–3P1

o 3.25(�1) 2.47(9)3D2–

3P2o 1.00(�1) 4.59(8)

3D2–1F3

o 2.23(�1) 7.21(8)3D2–

3F2o 2.12(�1) 9.57(8)

3D2–3F3

o 1.69 5.45(9)3D3–

3P2o 6.30(�1) 2.89(9)

3D3–1F3

o 9.65(�2) 3.11(8)3D3–

3F2o 6.83(�3) 3.08(7)

3D3–3F3

o 1.41(�1) 4.53(8)3D3–

3F4o 2.74 6.88(9)

1F3o–1D2 4.29(�1) 3.15(9)

1F3o–3D2 5.72(�2) 4.18(8)

1F3o–3D3 2.34(�2) 1.22(8)

3F2o–3S1 1.09(�7) 1.26(3)

3F2o–1D2 5.54(�3) 4.07(7)

3F2o–3D1 3.07(�1) 3.74(9)

3F2o–3D2 5.16(�2) 3.77(8)

3F2o–3D3 1.46(�3) 7.62(6)

3F3o–1D2 7.33(�2) 5.38(8)

3F3o–3D2 4.03(�1) 2.95(9)

3F3o–3D3 3.33(�2) 1.74(8)

3F4o–3D3 6.59(�1) 3.44(9)

1s8l–1s8l0 (l ¼ 1,3; l0 ¼ 0,2)1P1

o–3S1 2.40(�2) 1.68(6)1P1

o–1D2 5.05 3.24(8)1P1

o–3D1 1.42(�2) 1.47(6)1P1

o–3D2 2.75(�1) 1.72(7)3P0

o–3D1 1.99 2.70(8)3P1

o–1S0 3.26(�2) 1.26(7)3P1

o–1D2 1.83(�1) 1.52(7)3P1

o–3D1 1.48 1.99(8)3P1

o–3D2 4.31 3.49(8)3P2

o–1D2 1.50(�1) 1.20(7)3P2

o–3D1 9.20(�2) 1.20(7)3P2

o–3D2 1.33 1.04(8)3P2

o–3D3 8.27 4.68(8)1F3

o–1D2 6.89 5.57(8)1F3

o–3D2 8.68(�1) 6.84(7)



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ARTICLE IN PRESS



1F3o–3D3 3.66(�1) 2.08(7)

3F2o–3S1 7.63(�5) 7.11(3)

3F2o–1D2 8.97(�2) 7.30(6)

3F2o–3D1 4.83 6.38(8)

3F2o–3D2 7.99(�1) 6.34(7)

3F2o–3D3 2.86(�2) 1.64(6)

3F3o–1D2 1.16 9.45(7)

3F3o–3D2 6.38 5.06(8)

3F3o–3D3 5.32(�1) 3.05(7)

3F4o–3D3 1.04(1) 5.91(8)

1s8l–1s9l0 (l ¼ l0 ¼ 0–3)1S0–

3P1o 1.21(�2) 1.18(7)

3S1–1P1

o 7.76(�3) 9.69(6)3S1–

3F2o 5.92(�6) 3.72(3)

1P1o–3S1 1.87(�2) 4.73(7)

1P1o–1D2 4.95 8.39(9)

1P1o–3D1 1.43(�2) 4.00(7)

1P1o–3D2 2.72(�1) 4.56(8)

3P0o–3D1 1.43 4.22(9)

3P1o–1S0 1.16(�2) 1.02(8)

3P1o–1D2 1.25(�1) 2.23(8)

3P1o–3D1 1.07 3.16(9)

3P1o–3D2 3.13 5.53(9)

3P2o–1D2 1.08(�1) 1.91(8)

3P2o–3D1 7.15(�2) 2.09(8)

3P2o–3D2 1.01 1.77(9)

3P2o–3D3 6.18 7.79(9)

1D2–1P1

o 8.86(�1) 9.86(8)1D2–

3P1o 3.49(�2) 3.31(7)

1D2–3P2

o 2.82(�2) 1.64(7)1D2–

1F3o 4.49 1.79(9)

1D2–3F2

o 5.88(�2) 3.25(7)1D2–

3F3o 7.49(�1) 2.96(8)

3D1–1P1

o 2.45(�3) 2.75(6)3D1–

3P0o 3.75(�1) 1.07(9)

3D1–3P1

o 2.79(�1) 2.67(8)3D1–

3P2o 1.76(�2) 1.03(7)

3D1–3F2

o 3.13 1.75(9)3D2–

1P1o 4.74(�2) 5.32(7)

3D2–3P1

o 8.11(�1) 7.77(8)3D2–

3P2o 2.47(�1) 1.45(8)

3D2–1F3

o 5.58(�1) 2.23(8)3D2–

3F2o 5.22(�1) 2.92(8)

3D2–3F3

o 4.14 1.65(9)3D3–

3P2o 1.55 9.06(8)

3D3–1F3

o 2.37(�1) 9.45(7)3D3–

3F2o 1.68(�2) 9.37(6)

3D3–3F3

o 3.46(�1) 1.38(8)3D3–

3F4o 6.74 2.09(9)

1F3o–1D2 1.45 2.57(9)

1F3o–3D2 1.93(�1) 3.40(8)

1F3o–3D3 7.90(�2) 9.96(7)

3F2o–3S1 3.94(�5) 1.05(5)

3F2o–1D2 1.82(�2) 3.24(7)

3F2o–3D1 1.05 3.08(9)

3F2o–3D2 1.72(�1) 3.03(8)

3F2o–3D3 6.67(�3) 8.41(6)



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ARTICLE IN PRESS



3F3o–1D2 2.44(�1) 4.34(8)

3F3o–3D2 1.38 2.43(9)

3F3o–3D3 1.13(�1) 1.43(8)

3F4o–3D3 2.24 2.82(9)

1s9l–1s9l0 (l ¼ 1,3; l0 ¼ 0,2)1P1

o–3S1 1.77(�2) 7.62(5)1P1

o–1D2 4.01 2.14(8)1P1

o–3D1 1.12(�2) 9.38(5)1P1

o–3D2 2.11(�1) 1.07(7)3P0

o–3D1 1.86 2.59(8)3P1

o–1S0 3.13(�2) 1.27(7)3P1

o–1D2 1.66(�1) 1.43(7)3P1

o–3D1 1.38 1.89(8)3P1

o–3D2 4.02 3.32(8)3P2

o–1D2 1.35(�1) 1.10(7)3P2

o–3D1 8.72(�2) 1.13(7)3P2

o–3D2 1.21 9.49(7)3P2

o–3D3 7.58 4.32(8)1F3

o–1D2 6.76 6.20(8)1F3

o–3D2 8.55(�1) 7.51(7)1F3

o–3D3 3.58(�1) 2.28(7)3F2

o–3S1 1.33(�5) 1.21(3)3F2

o–1D2 8.75(�2) 8.10(6)3F2

o–3D1 4.74 6.99(8)3F2

o–3D2 7.92(�1) 7.02(7)3F2

o–3D3 2.57(�2) 1.65(6)3F3

o–1D2 1.15 1.06(8)3F3

o–3D2 6.26 5.56(8)3F3

o–3D3 5.25(�1) 3.38(7)3F4

o–3D3 1.02(1) 6.51(8)


In conclusion, a systematic MCHF study of the energies, oscillator strengths and transition probabilities forthe electric dipole transitions between 1snl (n ¼ 1–9, l ¼ 0–3) states in helium-like sulphur (S XV) have beenpresented. We desired to obtain new and large-scale data including core–valance correlation and Breit–Paulirelativistic corrections in highly ionized and excited sulphur. We hope that our energies, oscillator strengthsand transition probabilities will be useful in analyzing existing experimental data, in planning new experimentsand in comparing theoretical results for some researches and, particularly, for astrophysical applications.

References

[1] /http://www.pa.uky.edu/�peter/atomic/S.

[2] /http://physics.nist.gov/PhysRefData/ASD/index.htmlS.

[3] /http://cfa-www.harvard.edu/amdata/ampdata/kelly/kelly.htmlS.

[4] /http://www.camdb.ac.cn/e/S.

[5] Sanders FC, Scherr CW. Perturbation study of some excited states of two-electron atoms. Phys Rev A 1969;181:84–97.

[6] Walker ABC, Rugge HR. Observation of autoionizing states in the solar corona. Astrophys J 1971;164:181–90.

[7] Drake GWF. Theory of relativistic magnetic dipole transitions: lifetime of the metastable 23S state of the heliumlike ions. Phys Rev A

1971;3:908–15.

[8] Brown RT, Cortez JLM. Oscillator strengths for allowed nd–n0f transitions in the heliumlike isoelectronic sequence. Astrophys J

1972;176:267–70.

[9] Cocke CL, Curnutte B, Randall R. X-ray emission from foil-excited sulphur beams. Phys Rev A 1974;9:1823–7.

[10] Bednar JA, Cocke CL, Curnutte B, Randall R. Lifetime of the 23S1 state in heliumlike sulphur and chlorine. Phys Rev A

1975;11:460–4.

[11] Johnson WR, Lin CD. Relativistic random phase approximation applied to atoms of the He isoelectronic sequence. Phys Rev A

1976;14:565–75.


doi:10.1016/j.jqsrt.2007.12.009

http://www.pa.uky.edu/~peter/atomic/

http://www.pa.uky.edu/~peter/atomic/

http://www.physics.nist.gov/PhysRefData/ASD/index.html

http://cfa-www.harvard.edu/amdata/ampdata/kelly/kelly.html

http://www.camdb.ac.cn/e/

dx.doi.org/10.1016/j.jqsrt.2007.12.009

ARTICLE IN PRESSL. Ozdemir et al. / Journal of Quantitative Spectroscopy & Radiative Transfer ] (]]]]) ]]]–]]]36

[12] Varghese SL, Cocke CL, Curnutte B. Lifetime measurements of the 23P1 states in heliumlike silicon and sulphur. Phys Rev A

1976;14:1729–34.

[13] Lin CD, Johnson WR, Dalgarno A. Radiative decays of the n ¼ 2 states of He-like ions. Phys Rev A 1977;15:154–61.

[14] Boiko VA, Faenov AY, Pikuz SA, Skobelev IY, Vinogradov AV, Yukov EA. The observation of intercombination lines 1s3p 3P1-1s2 1S0 of multicharged He-like ions in laser-produced plasmas. J Phys B Atom Mol Phys 1977;10:3387–94.

[15] Lin CD, Johnson WR, Dalgarno A. Oscillator strengths of transitions between low-lying s and p states of helium-like ions. Astrophys

J 1977;217:1011–5.

[16] Mewe R, Schrijver J. Heliumlike ion line intensities. Astron Astrophys 1978;65:99–114.

[17] Drake GWF. Unified relativistic theory for 1s2p 3P1–1s2 1S0 and 1s2p 1P1–1s2 1S0 frequencies and transition rates in heliumlike ions.

Phys Rev A 1979;19:1387–97.

[18] Berry HG, DeSerio R, Livingston AE. Wavelengths and fine structure of 2s–2p transitions in two- and three-electron ions. Phys Rev

A 1980;22:998–1011.

[19] Livingston AE, Hinterlong SJ, Poirier JA, DeSerio R, Berry HG. Wavelength measurements of 1s2s 3S–1s2p 3P transitions in helium-

like 28Si12+, 32S14+ and 35Cl15+. J Phys B Atom Mol Phys 1980;13:L139–42.

[20] DeSerio R, Berry HG, Brooks RL, Handis J, Livingston AE, Hinterlong SJ. 2s–2p transitions in heliumlike ions. Phys Rev A

1981;24:1872–88.

[21] Schleinkofer L, Bell F, Betz HD, Trollmann G, Rothermel J. Precision wavelength determination of 2 1P1–11S0 transition in

heliumlike sulphur ions. Phys Scr 1982;25:917–22.

[22] Vainshtein LA, Safronova UI. Energy levels of He- and Li-like ions (states 1snl, 1s2nl with n ¼ 2�5). Phys Scr 1985;31:519–32.

[23] Drake GWF. Spontaneous two-photon decay rates in hydrogenlike and heliumlike ions. Phys Rev A 1986;34:2871–80.

[24] Drake GW. Theoretical energies for the n ¼ 1 and 2 states of the helium isoelectronic sequence up to Z ¼ 100. Can J Phys

1988;66:586–611.

[25] Aglitsky EV, Antsiferov PS, Mandelstam SL, Panin AM, Safronova UI, Ulitin SA, Vainshtein LA. Comparison of calculated and

measured wavelengths of resonance transitions in He-like ions for Z ¼ 16–39. Phys Scr 1988;38:136–42.

[26] Johnson WR, Sapirstein J. Relativistic many-body perturbation theory applied to n ¼ 2 triplet states of heliumlike ions. Phys Rev A

1992;46:R2197–200.

[27] Berry HG, Dunford RW, Livingston AE. Comparisions of the QED and relativistic parts of the triplet-state energies in the heliumlike

sequence. Phys Rev A 1993;47:698–701.

[28] Chen M, Cheng KT, Johnson WR. Relativistic configuration–interaction calculations of n ¼ 2 triplet states of heliumlike ions. Phys

Rev A 1993;47:3692–703.

[29] Plante DR, Johnson WR, Sapirstein J. Relativistic all-order many-body calculations of the n ¼ 1 and n ¼ 2 states of heliumlike ions.

Phys Rev A 1994;49:3519–30.

[30] Verner DA, Barthel PD, Tytler D. Atomic data for absorption lines from the ground level at wavelengths greater than 228 A. Astron

Astrophys Suppl Ser 1994;108:287–340.

[31] Howie DJH, Silver JD, Myers EG. Measurement of 1s2s 3S1-1s2p 3P2,0 wavelengths in helium-like sulphur. J Phys B Atom Mol Opt

Phys 1996;29:927–36.

[32] Kato T, Safronova UI, Shlyaptseva AS, Cornille M, Dubau J, Nilsen J. Comparison of satellite spectra for H-like Fe and He-like Fe,

Ca and S calculated by three different methods. Atom Data Nucl Data Tables 1997;67:225–329.

[33] Derevianko A, Johnson WR. Two-photon decay of 2 1S0 and 2 3S1 states of heliumlike ions. Phys Rev A 1997;56:1288–94.

[34] Safronova UI, Johnson WR. Autoionizing rates for doubly excited 2lnl0 states of He-like ions. Phys Scr 1998;58:116–25.

[35] Kimura E, Nakazaki S, Berrington KA, Norrington PH. Rate coefficients for electron impact excitation of helium-like ions within the

Dirac R-matrix approach. J Phys B Atom Mol Opt Phys 2000;33:3449–66.

[36] Kingston AE, Norrington PH, Bone AW. Spontaneous transition rates for electric dipole (E1), magnetic dipole (M1), electric

quadrupole (E2) and magnetic quadrupole (M2) transitions for He-like calcium and sulfur ions. J Phys B Atom Mol Opt Phys

2002;35:4077–100.

[37] Fischer CF, Brage T, Jonsson Per. Computational atomic structure—an MCHF approach. Bristol, Philadelphia: Institute of Physic

Publishing; 1997.

[38] Fischer CF. The MCHF atomic-structure package. Comp Phys Commun 1991;64:369–98.


doi:10.1016/j.jqsrt.2007.12.009

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