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Home All issues Volume 699 (July 2025) A&A, 699 (2025) A29 Full HTML
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Table A.1

Our quantum Stark widths (WQ) and our semiclassical perturbation widths (WSCP) of Nb V lines at a density Ne = 1017 cm−3.

Transition T WQ(Å) WSCP(Å) Δ Transition T WQ(Å) WSCP(Å) Δ
4d 2D3/2−5p 2P1/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}5 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}\]$ 1.0 5.848E–03 4.03E–03 45 4d 2D5/2−4f 2F7/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}{-}4 \mathrm{f}~^{2} \mathrm{F}_{7 / 2}^{\mathrm{o}}\]$ 1.0 1.326E–03 1.71E–03 22
2.5 3.754E–03 2.76E–03 36 2.5 8.035E–04 1.18E–03 32
1–4 5.0 2.617E–03 2.18E–03 20 2–9 5.0 5.458E–04 9.21E–04 41
77.267 nm 7.5 2.077E–03 1.94E–03 7 45.655 7.5 4.310E–04 8.09E–04 47
10 1.745E–03 1.81E–03 4 10 3.619E–04 7.43E–04 51
4d 2D3/2−5p 2P3/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 5.491E–03 4.22E–03 30 5p 2P1/2o−6s 2S1/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}{-}6 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}\]$ 1.0 2.834E–02 1.89E–02 50
2.5 3.529E–03 2.91E–03 21 2.5 1.691E–02 1.38E–02 23
1–5 5.0 2.461E–03 2.32E–03 6 4–10 5.0 1.104E–02 1.14E–02 3
75.197 nm 7.5 1.954E–03 2.07E–03 6 102.263 nm 7.5 8.401E–03 1.03E–02 18
10 1.641E–03 1.93E–03 15 10 6.828E–03 9.71E–03 30
4d 2D5/2−5p 2P3/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}{-}5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 5.639E–03 4.34E–03 30 5p 2P3/2o−6s 2S1/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}6 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}\]$ 1.0 3.047E–02 2.11E–02 44
2.5 3.624E–03 2.99E–03 21 2.5 1.818E–02 1.54E–02 18
2–5 5.0 2.527E–03 2.38E–03 6 5–10 5.0 1.188E–02 1.27E–02 6
76.203 nm 7.5 2.006E–03 2.13E–03 6 106.129 nm 7.5 9.039E–03 1.16E–02 22
10 1.685E–03 1.98E–03 15 10 7.347E–03 1.09E–02 33
5s 2S1/2−5p 2P1/2o$\[5 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}{-}5 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}\]$ 1.0 5.440E–02 3.39E–02 60 4d 2D3/2−6p 2P1/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}\]$ 1.0 3.748E–03 2.51E–03 49
2.5 3.520E–02 2.36E–02 49 2.5 2.228E–03 1.84E–03 21
3–4 5.0 2.445E–02 1.89E–02 29 1–11 5.0 1.450E–03 1.53E–03 5
191.923 nm 7.5 1.927E–02 1.70E–02 13 40.152 nm 7.5 1.106E–03 1.40E–03 21
10 1.606E–02 1.58E–02 2 10 9.045E–04 1.32E–03 31
5s 2S1/2−5p 2P3/2o$\[5 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}{-}5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 4.769E–02 3.21E–02 49 4d 2D3/2−6p 2P3/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 3.709E–03 2.81E–03 32
2.5 3.088E–02 2.24E–02 38 2.5 2.205E–03 2.11E–03 5
3–5 5.0 2.149E–02 1.80E–02 19 1–12 5.0 1.435E–03 1.77E–03 19
179.645 nm 7.5 1.697E–02 1.62E–02 5 39.940 nm 7.5 1.095E–03 1.63E–03 33
10 1.416E–02 1.51E–02 6 10 8.949E–04 1.54E–03 42
5p 2P1/2o−5d 2D3/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}{-}5 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 2.533E–02 2.06E–02 23 4d 2D5/2−6p 2P3/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 3.761E–03 2.85E–03 32
2.5 1.617E–02 1.47E–02 10 2.5 2.236E–03 2.14E–03 4
4–6 5.0 1.099E–02 1.19E–02 8 2–12 5.0 1.455E–03 1.80E–03 19
121.854 nm 7.5 8.547E–03 1.07E–02 20 40.221 nm 7.5 1.110E–03 1.65E–03 33
10 7.054E–03 9.94E–03 29 10 9.076E–04 1.56E–03 42
5p 2P3/2o−5d 2D5/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}5 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}\]$ 1.0 2.751E–02 2.36E–02 17 5s 2S1/2−6p 2P3/2o$\[5 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 9.577E–03 6.29E–03 52
2.5 1.757E–02 1.68E–02 5 2.5 5.632E–03 4.61E–03 22
5–6 5.0 1.195E–02 1.37E–02 13 3–11 5.0 3.624E–03 3.85E–03 6
127.382 nm 7.5 9.294E–03 1.23E–02 24 58.229 nm 7.5 2.740E–03 3.52E–03 22
10 7.672E–03 1.15E–02 33 10 2.222E–03 3.33E–03 33
5p 2P3/2o−5d 2D3/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}5 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 2.682E–02 2.33E–02 15 5s 2S1/2−6p 2P5/2o$\[5 \mathrm{s}~^{2} \mathrm{S}_{1 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{5 / 2}^{\mathrm{o}}\]$ 1.0 9.420E–03 6.89E–03 37
2.5 1.713E–02 1.67E–02 3 2.5 5.539E–03 5.16E–03 7
5–7 5.0 1.166E–02 1.35E–02 13 3–12 5.0 3.563E–03 4.34E–03 18
126.750 nm 7.5 9.064E–03 1.22E–02 26 57.783 nm 7.5 2.694E–03 3.98E–03 32
10 7.481E–03 1.13E–02 34 10 2.184E–03 3.76E–03 42
4d 2D3/2−4f 2 F5/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}4 \mathrm{f}~^{2} \mathrm{~F}_{5 / 2}^{\mathrm{o}}\]$ 1.0 1.314E–03 1.67E–03 21 5d 2D3/2−6p 2P1/2o$\[5 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}\]$ 1.0 2.000E–01 1.50E–01 33
2.5 7.961E–04 1.15E–03 31 2.5 1.209E–01 1.11E–01 9
1–8 5.0 5.407E–04 9.02E–04 40 6–11 5.0 7.752E–02 9.21E–02 16
45.297 nm 7.5 4.270E–04 7.93E–04 46 266.19 nm 7.5 5.798E–02 8.41E–02 31
10 3.585E–04 7.28E–04 51 10 4.644E–02 7.92E–02 41
4d 2D5/2−4f 2 F5/2o$\[4 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}{-}4 \mathrm{f}~^{2} \mathrm{~F}_{5 / 2}^{\mathrm{o}}\]$ 1.0 1.340E–03 1.69E–03 21 5d 2D3/2−6p 2P3/2o$\[5 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 1.859E–01 1.53E–01 22
2.5 8.118E–04 1.17E–03 31 2.5 1.122E–01 1.15E–01 2
2–8 5.0 5.514E–04 9.16E–04 40 6–12 5.0 7.195E–02 9.68E–02 26
45.659 nm 7.5 4.354E–04 8.06E–04 46 257.13 nm 7.5 5.379E–02 8.85E–02 39
10 3.655E–04 7.40E–04 51 10 4.308E–02 8.34E–02 48
5d 2D5/2−6p 2P3/2o$\[5 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}{-}6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}\]$ 1.0 1.866E–01 1.56E–01 20 6p 2P3/2o−6d 2D3/2$\[6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 1.937E–01 1.86E–01 4
2.5 1.127E–01 1.17E–01 4 2.5 1.191E–01 1.41E–01 16
7–12 5.0 7.221E–02 9.87E–02 27 12–13 5.0 7.660E–02 1.19E–01 36
259.74 7.5 5.397E–02 9.02E–02 40 284.56 nm 7.5 5.693E–02 1.10E–01 48
10 4.320E–02 8.50E–02 49 10 4.526E–02 1.04E–01 56
5p 2P1/2o−6d 2D3/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 7.865E–03 6.81E–03 15 6p 2P3/2o−6d 2D3/2$\[6 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 1.836E–01 1.85E–01 1
2.5 4.975E–03 4.91E–03 1 2.5 1.130E–01 1.40E–01 19
4–13 5.0 3.399E–03 4.05E–03 16 12–14 5.0 7.272E–02 1.19E–01 39
64.062 nm 7.5 2.671E–03 3.70E–03 28 283.17 nm 7.5 5.406E–02 1.09E–01 50
10 2.229E–03 3.50E–03 36 10 4.298E–02 1.04E–01 59
5p 2P3/2o−6d 2D3/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 8.237E–03 7.40E–03 11 4f 2F5/2o−6d 2D3/2$\[4 \mathrm{f}~^{2} \mathrm{F}_{5 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 5.749E–02 4.37E–02 32
2.5 5.210E–03 5.34E–03 2 2.5 3.533E–02 3.17E–02 11
5–13 5.0 3.560E–03 4.41E–03 19 8–13 5.0 2.274E–02 2.60E–02 13
65.558 nm 7.5 2.797E–03 4.03E–03 31 154.44 nm 7.5 1.690E–02 2.37E–02 29
10 2.334E–03 3.81E–03 39 10 1.344E–02 2.23E–02 40
5p 2P3/2o−6d 2D5/2$\[5 \mathrm{p}~^{2} \mathrm{P}_{3 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}\]$ 1.0 8.000E–03 7.43E–03 8 4f 2F5/2o−6d 2D5/2$\[4 \mathrm{f}~^{2} \mathrm{F}_{5 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}\]$ 1.0 4.074E–02 4.38E–02 7
2.5 5.066E–03 5.35E–03 5 2.5 2.425E–02 3.16E–02 23
5–14 5.0 3.466E–03 4.42E–03 22 8–14 5.0 1.594E–02 2.60E–02 39
65.484 nm 7.5 2.726E–03 4.04E–03 33 154.04 nm 7.5 1.228E–02 2.36E–02 48
10 2.275E–03 3.82E–03 40 10 1.012E–02 2.22E–02 54
6p 2P1/2o−6d 2D3/2$\[6 \mathrm{p}~^{2} \mathrm{P}_{1 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{3 / 2}\]$ 1.0 1.813E–01 1.58E–01 15 4f 2F7/2o−6d 2D5/2$\[4 \mathrm{f}~^{2} \mathrm{F}_{7 / 2}^{\mathrm{o}}{-}6 \mathrm{d}~^{2} \mathrm{D}_{5 / 2}\]$ 1.0 4.040E–02 4.40E–02 8
2.5 1.114E–01 1.18E–01 6 2.5 2.402E–02 3.17E–02 24
11–13 5.0 7.168E–02 9.90E–02 28 9–14 5.0 1.579E–02 2.61E–02 40
274.23 nm 7.5 5.329E–02 9.11E–02 42 154.07 nm 7.5 1.216E–02 2.37E–02 49
10 4.237E–02 8.65E–02 51 10 1.002E–02 2.23E–02 55

Notes. T is given in 105 K and Δ=100×|WQ−WSCPWSCP|$\[\Delta=100 \times\left|\frac{W_{\mathrm{Q}}-W_{\mathrm{SCP}}}{W_{\mathrm{SCP}}}\right|\]$ is the relative error between the quantum and semiclassical results.

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