Atomic energy level diagrams

Selenium energy level diagram

Energy levels and transitions of neutral selenium (Se I): the 16 strongest classified lines below 2 µm from the NIST Atomic Spectra Database and the 11 levels they connect, each line with its vacuum wavelength, frequency and, for 10 of them, the reduced dipole matrix element derived from the NIST transition rate. Measured lifetimes, transition rates, hyperfine constants and isotope shifts from the literature are included, each with its citation.

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Selenium energy level diagram with transition wavelengths and dipole matrix elements

Download: diagram (PDF) diagram (SVG) transitions (CSV) levels (CSV) source code

Key transitions of selenium

Transitionλ vac (nm)λ air (nm)ν (THz)|⟨J‖er‖J′⟩| (ea₀)A (s⁻¹)Γ/2π up. (MHz)branch (%)Use
4p4 3P2 – 4p35s 3S°1196.0902–1528.84951.5422.130e+0854.8861.7resonance line from the ground term
4p4 1S0 – 4p35s 1P°1199.5118–1502.6305≈1.2431.313e+08––classified strong
4p4 3P1 – 4p35s 3S°1204.0507203.98521469.20591.1109.800e+0754.8828.4resonance line from the ground term
4p4 3P0 – 4p35s 3S°1206.3448206.27891452.87130.6553.300e+0754.889.52resonance line from the ground term
4p4 3P2 – 4p35s 5S°2207.5456207.47941444.46570.1941.700e+060.322884207.5 nm intercombination line
4p4 3P1 – 4p35s 5S°2216.4845216.41651384.82210.0903.200e+050.322816216.4 nm intercombination line
4p4 1D2 – 4p35s 3S°1241.4247241.35131241.76380.1581.200e+0654.880.34weak branch of 3S°1 to the metastable 1D2 level
4p4 3P2 – 4p4 1S0445.5097445.3846672.9202–1.800e-011.621e-061.77forbidden line within the ground configuration
4p35s 5S°2 – 4p36p 5P3473.2112473.0788633.5279≈0.9112.265e+06––classified strong
4p4 3P1 – 4p4 1S0488.8373488.7008613.2766–7.700e+001.621e-0675.6forbidden line within the ground configuration
4p4 1D2 – 4p4 1S0776.9976776.7838385.8345–2.300e+001.621e-0622.6forbidden line within the ground configuration
4p35s 3S°1 – 4p35p 3P21033.00911032.7260290.2128≈8.2452.499e+07––classified strong
4p35s 3S°1 – 4p35p 3P11038.92101038.6364288.5614≈6.4212.483e+07––classified strong
4p4 3P2 – 4p4 1D21044.26111043.9750287.0857–6.270e-011.17e-0785.3forbidden line within the ground configuration
4p4 3P1 – 4p4 1D21318.10451317.7441227.4421–1.100e-011.17e-0715forbidden line within the ground configuration
4p4 3P0 – 4p4 1D21420.09371419.7055211.1075–9.200e-051.17e-070.0125forbidden line within the ground configuration

λ, ν from NIST level energies unless a measured frequency for this isotope is available. A: measured value or NIST. Γ/2π: natural linewidth of the upper level, 1/(2πτ).

Listed Se transitions below 2 µm

Lower levelUpper levelλ vacuum (nm)λ air (nm)ν (THz)Type|⟨J‖er‖J′⟩| (ea₀)A (s⁻¹)Branching (%)Source of matrix element / A
4p4 3P24p35s 3S°1196.0902–1528.8495E11.542 measured2.130e+08 measured61.7D. C. Morton, Astrophys. J. Suppl. 130, 403 (2000), as listed (A_ki ref. M00) in the NIST…
4p4 1S04p35s 1P°1199.5118–1502.6305E11.243 HFR fit (this site)1.313e+08 HFR fit (this site)–This site: Cowan-code HFR calculation of Se I with the parameters fitted to the NIST ener…
4p4 3P14p35s 3S°1204.0507203.98521469.2059E11.110 measured9.800e+07 measured28.4D. C. Morton, Astrophys. J. Suppl. 130, 403 (2000), as listed (A_ki ref. M00) in the NIST…
4p4 3P04p35s 3S°1206.3448206.27891452.8713E10.655 measured3.300e+07 measured9.52D. C. Morton, Astrophys. J. Suppl. 130, 403 (2000), as listed (A_ki ref. M00) in the NIST…
4p4 3P24p35s 5S°2207.5456207.47941444.4657E1 (intercombination)0.194 measured1.700e+06 measured84D. C. Morton, Astrophys. J. Suppl. 130, 403 (2000), as listed (A_ki ref. M00) in the NIST…
4p4 3P14p35s 5S°2216.4845216.41651384.8221E1 (intercombination)0.0895 measured3.200e+05 measured16D. C. Morton, Astrophys. J. Suppl. 130, 403 (2000), as listed (A_ki ref. M00) in the NIST…
4p4 1D24p35s 3S°1241.4247241.35131241.7638E1 (intercombination)0.158 measured1.200e+06 measured0.34Ubelis and Berzinsh, Phys. Scr. 34, 805 (1986) (emission branching; values read in the ab…
4p4 3P24p4 1S0445.5097445.3846672.9202E2–1.800e-01 theory1.77R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…
4p35s 5S°24p36p 5P3473.2112473.0788633.5279E10.911 HFR fit (this site)2.265e+06 HFR fit (this site)–This site: Cowan-code HFR calculation of Se I with the parameters fitted to the NIST ener…
4p4 3P14p4 1S0488.8373488.7008613.2766M1–7.700e+00 theory75.6R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…
4p4 1D24p4 1S0776.9976776.7838385.8345E2–2.300e+00 theory22.6R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…
4p35s 3S°14p35p 3P21033.00911032.7260290.2128E18.245 HFR fit (this site)2.499e+07 HFR fit (this site)–This site: Cowan-code HFR calculation of Se I with the parameters fitted to the NIST ener…
4p35s 3S°14p35p 3P11038.92101038.6364288.5614E16.421 HFR fit (this site)2.483e+07 HFR fit (this site)–This site: Cowan-code HFR calculation of Se I with the parameters fitted to the NIST ener…
4p4 3P24p4 1D21044.26111043.9750287.0857M1–6.270e-01 theory85.3R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…
4p4 3P14p4 1D21318.10451317.7441227.4421M1–1.100e-01 theory15R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…
4p4 3P04p4 1D21420.09371419.7055211.1075E2–9.200e-05 theory0.0125R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25 (intermediate-coupling…

Reduced dipole matrix elements follow the convention A = ω³|d|²/(3πε₀ħc³(2J′+1)), with J′ the upper level. Tags show where a number comes from: measured, NIST compilation, high-accuracy theory, this site's own Cowan-code calculation with the parameters fitted to the NIST energies (HFR fit; inputs and fit report in the repository folder cowan/; used only where nothing else gives a rate; strong lines typically within a factor 2, weak lines worse), or a model calculation.

Se energy levels

LevelEnergy (cm⁻¹)JParityLifetimegJHyperfine A (MHz)Hyperfine B (MHz)Lifetime sourceHyperfine source
4p4 3P20.0002evenstable–––––
4p4 3P11989.4971even5.88 s theory–––R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25. Note: derived: 1/sum …–
4p4 3P02534.3600even115 s theory–––R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25. Note: derived: 1/sum …–
4p4 1D29576.1492even1.36 s theory–––R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25. Note: derived: 1/sum …–
4p4 1S022446.2020even98.2 ms theory–––R. H. Garstang, J. Res. Natl. Bur. Stand. 68A, 61 (1964), Table 25. Note: derived: 1/sum …–
4p35s 5S°248182.1902odd493 ns measured2.0004––Bengtsson, Berzinsh, Larsson, Svanberg, Zerne, J. Phys. II France 2, 773 (1992) (time-res…–
4p35s 3S°150996.9311odd2.9 ns measured–––Bengtsson, Berzinsh, Larsson, Svanberg, Z. Phys. D 23, 29 (1992) (short-pulse laser excit…–
4p35p 3P160622.3021even––––––
4p35p 3P260677.3882even––––––
4p36p 5P369314.4053even––––––
4p35s 1P°172568.5601odd––––––

Se⁺ ionisation limit 78658.15 cm⁻¹ = 9.75237 eV (127.132 nm)

Sources

NIST ASD has Se I level energies but no classified lines; the E1 transitions here are the classified persistent lines of the NIST Handbook of Basic Atomic Spectroscopic Data, re-expressed with the NIST ASD level energies of data/nist/Se_I_levels.tsv (identification by configuration, term and J). The 'wavelength_nm' field gives the observed wavelength as listed (vacuum below 200 nm, air above) with its 'medium'; the wavelength in each label is the vacuum Ritz value from the NIST ASD energies. A values of the six 5s-4p4 lines are those of Morton 2000 as listed by NIST (compilation: Bengtsson et al. laser lifetimes x Ubelis and Berzinsh branching); rme_J_ea0 is derived from them (convention of SCHEMA.md). Branching fractions of the 3S°1 level are derived from the four Ubelis and Berzinsh A values; those of 5S°2 from the two Morton A values. Lifetimes of the 4p4 metastable levels and all forbidden-line rates are 1964 THEORY (Garstang); A_s of a forbidden line is the sum of the calculated M1 and E2 parts given in its note. Natural selenium is 92 % even isotopes (I = 0) and 7.6 % 77Se (I = 1/2). Second pass 2026-10-01: Bengtsson et al., Z. Phys. D 23, 29 (1992) was read directly (first two pages): tau(3S°1) = 2.9(5) ns and f_abs(196.0 nm) = 0.074(16) are confirmed. Roederer & Lawler 2012 (Table 5) recommend the Morton A values with uncertainties 213(37), 98(17), 33(6) and 1.70(10) x 10^6 s^-1 (stored as alternatives) and note that isotope shifts are small and the 77Se hyperfine str

Atoms with measured data

All elements: periodic table