Fluorine energy level diagram
Energy levels and transitions of neutral fluorine (F I): the 46 strongest classified lines below 2 µm from the NIST Atomic Spectra Database and the 27 levels they connect, each line with its vacuum wavelength, frequency and, for 46 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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Download: diagram (PDF) diagram (SVG) transitions (CSV) levels (CSV) source code
Key transitions of fluorine
| Transition | λ vac (nm) | λ air (nm) | ν (THz) | |⟨J‖er‖J′⟩| (ea₀) | A (s⁻¹) | Γ/2π up. (MHz) | branch (%) | Use |
|---|---|---|---|---|---|---|---|---|
| 2p43s 4P5/2 – 2p43p 4D°5/2 | 677.5848 | 677.3978 | 442.4427 | 2.974 | 9.600e+06 | – | – | 677.4 nm |
| 2p43s 4P5/2 – 2p43p 4D°7/2 | 685.7918 | 685.6027 | 437.14789(15) | 7.875 | 4.870e+07 | – | – | 685.6 nm |
| 2p43s 2P3/2 – 2p43p 2D°3/2 | 760.9267 | 760.7173 | 393.9833 | 2.798 | 9.000e+06 | – | – | 761 nm: diode-laser absorption hyperfine spectroscopy |
| 2p43s 2P3/2 – 2p43p 2D°5/2 | 775.6827 | 775.4692 | 386.4885 | 6.681 | 3.230e+07 | – | – | 775 nm: diode-laser saturated-absorption hyperfine spectr… |
| 2p43s 2P1/2 – 2p43p 2D°3/2 | 780.2357 | 780.0211 | 384.2332 | ≈5.169 | 2.849e+07 | – | – | 780 nm: diode-laser Doppler-free saturated-absorption hyp… |
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).
19F hyperfine structure (I = 1/2)
| Level | A (MHz) | B (MHz) | Shift of each F level from the centre of gravity (MHz) |
|---|---|---|---|
| 2p5 2P°3/2 | 2009.990(10) | – | F=1: -2512.49 F=2: +1507.49 |
| 2p5 2P°1/2 | 10244.21(3) | – | F=0: -7683.16 F=1: +2561.05 |
| 2p43s 4P5/2 | 2643.0(10) | – | F=2: -4625.25 F=3: +3303.75 |
| 2p43s 2P3/2 | 3057.9(21) | – | F=1: -3822.38 F=2: +2293.43 |
| 2p43s 2P1/2 | 1737.1(4) | – | F=0: -1302.83 F=1: +434.27 |
| 2p43p 4P°3/2 | 1824(20) | – | F=1: -2280.00 F=2: +1368.00 |
| 2p43p 4D°7/2 | 1564.0(10) | – | F=3: -3519.00 F=4: +2737.00 |
| 2p43p 4D°5/2 | 1148.0(10) | – | F=2: -2009.00 F=3: +1435.00 |
| 2p43p 2D°5/2 | 1746.5(15) | – | F=2: -3056.38 F=3: +2183.12 |
| 2p43p 2D°3/2 | 1857.1(21) | – | F=1: -2321.38 F=2: +1392.83 |
| 2p43d 4D7/2 | 793(20) | – | F=3: -1784.25 F=4: +1387.75 |
Measured A, B constants; sources in the data file.
Listed F transitions below 2 µm
| Lower level | Upper level | λ vacuum (nm) | λ air (nm) | ν (THz) | Type | |⟨J‖er‖J′⟩| (ea₀) | A (s⁻¹) | Branching (%) | Source of matrix element / A |
|---|---|---|---|---|---|---|---|---|---|
| 2p5 2P°3/2 | 2p43s 2D5/2 | 80.6971 | – | 3715.0361 | E1 | 0.698 NIST | 3.130e+08 NIST | – | NIST ASD (accuracy B) |
| 2p5 2P°1/2 | 2p43s 2D3/2 | 80.9605 | – | 3702.9468 | E1 | 0.526 NIST | 2.640e+08 NIST | – | NIST ASD (accuracy B) |
| 2p5 2P°3/2 | 2p43s 2P1/2 | 95.1871 | – | 3149.5080 | E1 | 0.454 NIST | 2.420e+08 NIST | – | NIST ASD (accuracy B+) |
| 2p5 2P°3/2 | 2p43s 2P3/2 | 95.4827 | – | 3139.7579 | E1 | 1.014 NIST | 5.980e+08 NIST | – | NIST ASD (accuracy B+) |
| 2p5 2P°1/2 | 2p43s 2P1/2 | 95.5547 | – | 3137.3922 | E1 | 0.639 NIST | 4.740e+08 NIST | – | NIST ASD (accuracy B+) |
| 2p5 2P°1/2 | 2p43s 2P3/2 | 95.8525 | – | 3127.6420 | E1 | 0.447 NIST | 1.150e+08 NIST | – | NIST ASD (accuracy B+) |
| 2p43s 4P5/2 | 2p43p 2P°3/2 | 604.9208 | 604.7533 | 495.5896 | E1 (intercombination) | 0.321 NIST | 2.360e+05 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P3/2 | 2p43p 2P°3/2 | 615.1439 | 614.9737 | 487.3534 | E1 (intercombination) | 0.295 NIST | 1.900e+05 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P1/2 | 2p43p 2P°3/2 | 621.2562 | 621.0843 | 482.5585 | E1 (intercombination) | 0.209 NIST | 9.200e+04 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P5/2 | 2p43p 4S°3/2 | 624.1375 | 623.9649 | 480.3308 | E1 | 3.731 NIST | 2.900e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 4S°3/2 | 635.0263 | 634.8507 | 472.0946 | E1 | 3.425 NIST | 2.320e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 4S°3/2 | 641.5422 | 641.3649 | 467.2997 | E1 | 2.663 NIST | 1.360e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P5/2 | 2p43p 2D°3/2 | 646.5290 | 646.3504 | 463.6953 | E1 (intercombination) | 0.145 NIST | 3.970e+04 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P5/2 | 2p43p 2D°5/2 | 657.1507 | 656.9692 | 456.2005 | E1 (intercombination) | 0.570 NIST | 3.860e+05 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 2D°3/2 | 658.2204 | 658.0386 | 455.4591 | E1 (intercombination) | 0.376 NIST | 2.510e+05 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 2D°3/2 | 665.2236 | 665.0399 | 450.6642 | E1 (intercombination) | 0.450 NIST | 3.490e+05 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 2D°5/2 | 669.2330 | 669.0482 | 447.9643 | E1 (intercombination) | 1.138 NIST | 1.460e+06 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P5/2 | 2p43p 4D°3/2 | 671.0126 | 670.8274 | 446.7762 | E1 | 0.806 NIST | 1.090e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P5/2 | 2p43p 4D°5/2 | 677.5848 | 677.3978 | 442.4427 | E1 | 2.974 NIST | 9.600e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 4D°1/2 | 679.7399 | 679.5523 | 441.0400 | E1 | 1.351 NIST | 5.890e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 4D°3/2 | 683.6148 | 683.4262 | 438.5400 | E1 | 3.708 NIST | 2.180e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P5/2 | 2p43p 4D°7/2 | 685.7918 | 685.6027 | 437.1479 | E1 | 7.875 NIST | 4.870e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 4D°1/2 | 687.2111 | 687.0215 | 436.2451 | E1 | 3.584 NIST | 4.010e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P3/2 | 2p43p 4D°5/2 | 690.4375 | 690.2471 | 434.2065 | E1 | 5.849 NIST | 3.510e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 4D°3/2 | 691.1719 | 690.9813 | 433.7451 | E1 | 3.673 NIST | 2.070e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 2P3/2 | 2p43p 2P°1/2 | 696.8267 | 696.6346 | 430.2253 | E1 | 1.485 NIST | 6.600e+06 NIST | – | NIST ASD (accuracy C) |
| 2p43s 2P3/2 | 2p43p 2P°3/2 | 703.9403 | 703.7462 | 425.8777 | E1 | 5.397 NIST | 4.230e+07 NIST | – | NIST ASD (accuracy C) |
| 2p43s 2P3/2 | 2p43p 4S°3/2 | 730.0991 | 729.8980 | 410.6188 | E1 (intercombination) | 0.459 NIST | 2.740e+05 NIST | – | NIST ASD (accuracy C) |
| 2p43s 2D5/2 | 2p43p 2F°7/2 | 731.1046 | 730.9032 | 410.0541 | E1 | 8.983 NIST | 5.230e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 2P3/2 | 2p43p 2S°1/2 | 731.3031 | 731.1017 | 409.9428 | E1 | 4.168 NIST | 4.500e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 2D3/2 | 2p43p 2F°5/2 | 731.6318 | 731.4303 | 409.7586 | E1 | 7.818 NIST | 5.270e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P5/2 | 2p43p 4P°3/2 | 733.3975 | 733.1955 | 408.7721 | E1 | 4.341 NIST | 2.420e+07 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P5/2 | 2p43p 4P°5/2 | 740.0719 | 739.8681 | 405.0856 | E1 | 6.509 NIST | 3.530e+07 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P3/2 | 2p43p 4P°1/2 | 742.7688 | 742.5642 | 403.6148 | E1 | 3.987 NIST | 3.930e+07 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P3/2 | 2p43p 4P°3/2 | 748.4783 | 748.2723 | 400.5359 | E1 | 2.318 NIST | 6.490e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 4P°1/2 | 751.6988 | 751.4919 | 398.8199 | E1 | 1.656 NIST | 6.540e+06 NIST | – | NIST ASD (accuracy C) |
| 2p43s 4P3/2 | 2p43p 4P°5/2 | 755.4314 | 755.2234 | 396.8494 | E1 | 3.371 NIST | 8.900e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 4P1/2 | 2p43p 4P°3/2 | 757.5471 | 757.3385 | 395.7410 | E1 | 3.366 NIST | 1.320e+07 NIST | – | NIST ASD (accuracy C) |
| 2p43s 2P3/2 | 2p43p 2D°3/2 | 760.9267 | 760.7173 | 393.9833 | E1 | 2.798 NIST | 9.000e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 2P3/2 | 2p43p 2D°5/2 | 775.6827 | 775.4692 | 386.4885 | E1 | 6.681 NIST | 3.230e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43s 2P1/2 | 2p43p 2D°3/2 | 780.2357 | 780.0211 | 384.2332 | E1 | 5.169 semi-empirical | 2.849e+07 semi-empirical | – | Kurucz, R. L., Can. J. Phys. 89, 417 (2011); semi-empirical line list gf0900.pos of 2015-… |
| 2p43s 2P3/2 | 2p43p 4D°5/2 | 804.3137 | 804.0926 | 372.7308 | E1 (intercombination) | 1.484 NIST | 1.430e+06 NIST | – | NIST ASD (accuracy C+) |
| 2p43p 4P°5/2 | 2p43d 4D7/2 | 823.3034 | 823.0772 | 364.1336 | E1 | 9.138 NIST | 3.790e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43p 4D°7/2 | 2p43d 4F9/2 | 890.3340 | 890.0896 | 336.7191 | E1 | 12.71 NIST | 4.640e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43p 4D°5/2 | 2p43d 2F7/2 | 904.4576 | 904.2094 | 331.4610 | E1 (intercombination) | 7.980 NIST | 2.180e+07 NIST | – | NIST ASD (accuracy C+) |
| 2p43p 2D°5/2 | 2p43d 2F7/2 | 943.6241 | 943.3653 | 317.7033 | E1 | 8.830 NIST | 2.350e+07 NIST | – | NIST ASD (accuracy C+) |
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, a semi-empirical calculation (Kurucz line list, used only where no measurement or NIST value exists; typically within a factor 2), or a model calculation.
F energy levels
F⁺ ionisation limit 140524.50 cm⁻¹ = 17.42282 eV (71.162 nm)
Sources
- Harvey, Proc. R. Soc. Lond. A 285, 581 (1965), abstract (paramagnetic resonance)
- Huo, Deng, Windholz, Mu, Wang, J. Quant. Spectrosc. Radiat. Transfer 205, 1 (2018) (conce…
- Huo, Deng, Windholz, Mu, Wang, J. Quant. Spectrosc. Radiat. Transfer 205, 1 (2018), as qu…
- Kurucz, R. L., Can. J. Phys. 89, 417 (2011); semi-empirical line list gf0900.pos of 2015-…
- Levy, Cocolios, Behr, Jayamanna, Minamisono, Pearson, Nucl. Instrum. Methods A 580, 1571 …
- NIST ASD
- NIST ASD F I lines table with forbidden lines (24.74 um M1, A = 1.187e-3 s^-1, accuracy A…
- NIST ASD level energies
- Radford, Hughes, Beltran-Lopez, Phys. Rev. 123, 153 (1961), as tabulated in Table II of A…
- Shimizu, Ohmi, Kakiuchi, Yasutake, J. Vac. Sci. Technol. A 24, 2133 (2006), abstract (res…
- Tate & Aturaliye, Phys. Rev. A 56, 1844 (1997) (Doppler-free saturated absorption, diode …
- Tate & Aturaliye, Phys. Rev. A 56, 1844 (1997), as tabulated in Carette, Nemouchi, Li, Go…
- hyperfine centre of gravity 14581.684 cm^-1 from Liden, Ark. Fys. 1, 229 (1949), as quote…
Level energies are NIST ASD values. 19F: I = 1/2, so only magnetic-dipole constants A exist (no B). The 3d-level A values (Huo et al. 2018) are second-hand from the theory paper arXiv:2108.01116 and carry about 5 % uncertainty. Lifetime of the metastable 3s 4P5/2 level: the Elsevier text of Levy et al. prints the unit with a symbol-font glyph ("ms"); it is microseconds, as the abstract of Shimizu et al. 2006 states explicitly (7.3 +- 0.5 us). The frequency of the 685.6 nm line is an old (1949) value quoted second-hand; treat it as a consistency check of the NIST Ritz value, not as a precision measurement. Sources were located through arXiv/DataCite, CORE, HAL, Crossref and publisher abstract pages; the web-search quota of the session was exhausted, so coverage is limited to what those indexes exposed.
Atoms with measured data
- Lithium-632 levels, 85 lines
- Lithium-732 levels, 85 lines
- Beryllium-917 levels, 26 lines
- Sodium-2336 levels, 106 lines
- Magnesium-2418 levels, 61 lines
- Magnesium-2518 levels, 61 lines
- Potassium-3934 levels, 84 lines
- Potassium-4034 levels, 84 lines
- Potassium-4134 levels, 84 lines
- Calcium-4035 levels, 61 lines
- Calcium-4335 levels, 61 lines
- Chromium-5256 levels, 87 lines
- Chromium-5356 levels, 87 lines
- Rubidium-8536 levels, 94 lines
- Rubidium-8736 levels, 94 lines
- Strontium-8440 levels, 70 lines
- Strontium-8640 levels, 70 lines
- Strontium-8740 levels, 70 lines
- Strontium-8840 levels, 70 lines
- Cadmium-11115 levels, 21 lines
- Cadmium-11315 levels, 21 lines
- Cadmium-11415 levels, 21 lines
- Caesium-13331 levels, 79 lines
- Barium-13744 levels, 89 lines
- Barium-13844 levels, 89 lines
- Dysprosium-16139 levels, 55 lines
- Dysprosium-16239 levels, 55 lines
- Dysprosium-16339 levels, 55 lines
- Dysprosium-16439 levels, 55 lines
- Erbium-16673 levels, 90 lines
- Erbium-16773 levels, 90 lines
- Erbium-16873 levels, 90 lines
- Thulium-16972 levels, 73 lines
- Ytterbium-17118 levels, 26 lines
- Ytterbium-17318 levels, 26 lines
- Ytterbium-17418 levels, 26 lines
- Mercury-19927 levels, 47 lines
- Mercury-20127 levels, 47 lines
- Mercury-20227 levels, 47 lines