Ca line formation in late-type stellar atmospheres - I. The model atom

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Table A.1

Description of the transitions used in this work for comparison with observations.


λ	Transition	log gf	Ref	log Γ₆	Ref	log Γ₄∕N_e	Ref
(Å)				(rad s⁻¹ cm³)		(rad s⁻¹ cm³)
				σ(au) α
Ca I

3 875.80	4s.6f–3d.4s ³ D_3.0	−1.854	ORK-N	−7.467	K07	−3.687	K07	s
4 094.91	4s.5f–3d.4s ³ D_2.0	−0.677	ORK-N	−7.441	K07	−3.981	K07	p
4 108.53	4s.6f–3d.4s ¹ D_2.0	−0.974	Y&D	−6.990	K07	−2.860	K07	s
4 226.72	4s.4p–4s.4s ¹ S_0.0	0.244	SG	371 0.238	ABO	−6.031	SG	p
4 240.45	4s.7p–3d.4s ¹ D_2.0	−1.673	Y&D	−7.030	K07	−4.170	K07	s
4 283.01	4p.4p ³ P_2.0 –4s.4p	−0.423	Y&D	−7.720	K07	−5.840	K07	ps
4 298.99	4p.4p ³ P_1.0 –4s.4p	−0.414	Y&D	−7.720	K07	−5.760	K07	ps
4 302.52	4p.4p ³ P_2.0 –4s.4p	0.292	S	−7.804	S	−5.997	S	ps
4 318.65	4p.4p ³ P_1.0 –4s.4p	−0.222	ORK-N	−7.720	K07	−5.760	K07	psa
4 355.07	4s.5f–3d.4s ¹ D_2.0	−0.572	Y&D	−7.130	K07	−3.550	K07	psa
4 425.43	4s.4d ³ D_1.0 –4s.4p	−0.358	SN	946 0.274	ABO	−5.610	SN	psa
4 433.77	4s.7d ¹ D_2.0 –4s.4p	−2.562	K07	−6.960	K07	−2.860	K07	p
4 434.95	4s.4d ³ D_2.0 –4s.4p	−0.279	Y&D	948 0.274	ABO	−5.602	K07	psa
4 435.67	4s.4d ³ D_1.0 –4s.4p	−0.545	Y&D	947 0.274	ABO	−5.610	K07	psa
4 454.77	4s.4d ³ D_3.0 –4s.4p	0.064	Y&D	949 0.274	ABO	−5.596	K07	psa
4 455.88	4s.4d ³ D_2.0 –4s.4p	−0.518	SN	948 0.274	ABO	−5.602	SN	s
4 456.61	4s.4d ³ D_1.0 –4s.4p	−1.519	Y&D	947 0.274	ABO	−5.609	K07	psa
4 506.62	4s.6p–3d.4s ³ D_1.0	−2.357	Y&D	−7.230	K07	−3.970	K07	s
4 512.26	4s.6p–3d.4s ³ D_3.0	−1.900	SR	−7.264	SR	−4.149	SR	s
4 581.36	4s.4f–3d.4s ³ D_2.0	−0.459	ORK-N	−7.631	K07	−4.841	K07	s
4 585.93	4s.4f–3d.4s ³ D_3.0	−0.313	ORK-N	−7.807	K07	−5.017	K07	psa
4 685.26	4s.6d ⁰ D_2.0 –4s.4p	−0.879	S	−7.147	S	−4.503	S	psa
4 847.31	4s.7s ¹ S_0.0 –4s.4p	−1.400	S	−7.138	S	−4.161	S	psa
5 041.61	4s.6p–3d.4s ¹ D_2.0	−0.471	SR	−7.308	SR	−4.294	SR	s
5 188.84	4s.5d ¹ D_2.0 –4s.4p	−0.075	S	−7.315	S	−4.859	S	sa
5 260.38	3d.4p–3d.4s ³ D_1.0	−1.719	SR	421 0.260	ABO	−5.756	SR	psa
5 261.70	3d.4p–3d.4s ³ D_1.0	−0.579	SR	421 0.260	ABO	−5.756	SR	psa
5 262.24	3d.4p–3d.4s ³ D_1.0	−0.604	ORK-N	421 0.261	ABO	−5.756	K07	s
5 265.55	3d.4p–3d.4s ³ D_2.0	−0.113	SR	421 0.260	ABO	−5.755	SR	ps
5 349.46	3d.4p–3d.4s ¹ D_2.0	−0.310	SR+Sm	−7.652	SR+Sm	−5.894	SR+Sm	psa
5 512.97	4p.4p ¹ S_0.0 –4s.4p	−0.464	S+Sm	−7.316	S+Sm	−4.053	S+Sm	psa
5 581.96	3d.4p–3d.4s ³ D_2.0	−0.555	SR	400 0.282	ABO	−6.072	SR	psa
5 588.74	3d.4p–3d.4s ³ D_3.0	0.358	SR	400 0.282	ABO	−6.072	SR	psa
5 590.11	3d.4p–3d.4s ³ D_1.0	−0.571	SR	399 0.282	ABO	−6.071	SR	psa
5 594.46	3d.4p–3d.4s ³ D_2.0	0.097	SR	399 0.282	ABO	−6.072	SR	psa
5 598.47	3d.4p–3d.4s ³ D_1.0	−0.087	SR	398 0.282	ABO	−6.071	SR	psa
5 601.27	3d.4p–3d.4s ³ D_3.0	−0.523	SR	399 0.282	ABO	−6.072	SR	psa
5 857.44	4p.4p ¹ D_2.0 –4s.4p	−0.051	Y&D	1438 0.311	ABO	−5.424	K07	psa
5 867.56	4s.6s ¹ S_0.0 –4s.4p	−1.570	S	−7.460	S	−4.705	S	psa
6 102.71	4s.5s ³ S_1.0 –4s.4p	−0.793	SN	876 0.233	ABO	−5.320	SN	psa
6 122.21	4s.5s ³ S_1.0 –4s.4p	−0.332	Y&D	876 0.234	ABO	−5.320	K07	psa
6 161.29	4s.5p–3d.4s ³ D_2.0	−1.266	SR	978 0.257	ABO	−4.994	SR	psa
6 162.17	4s.5s ³ S_1.0 –4s.4p	−0.090	SN	876 0.234	ABO	−5.320	SN	psa
6 163.75	4s.5p–3d.4s ³ D_1.0	−1.286	SR	976 0.257	ABO	−4.998	SR	psa
6 166.44	4s.5p–3d.4s ³ D_1.0	−1.142	SR	976 0.257	ABO	−4.999	SR	psa
6 169.04	4s.5p–3d.4s ³ D_2.0	−0.797	SR	976 0.257	ABO	−4.997	SR	psa
6 169.56	4s.5p–3d.4s ³ D_3.0	−0.478	SR	978 0.257	ABO	−4.994	SR	psa
6 439.06	3d.4p–3d.4s ³ D_3.0	0.224	Y&D	366 0.242	ABO	−6.072	K07	psa
6 449.80	3d.4p–3d.4s ³ D_1.0	−0.502	SR	365 0.241	ABO	−6.071	SR	psa
6 455.59	3d.4p–3d.4s ³ D_2.0	−1.340	S	365 0.241	ABO	-6.072	S	psa
6 462.56	3d.4p–3d.4s ³ D_2.0	0.026	SR+Sm	365 0.241	ABO	−6.072	SR+Sm	s
6 464.67	3d.4p–3d.4s ¹ D_2.0	−2.103	Y&D	−7.690	K07	−5.810	K07	pa
6 471.65	3d.4p–3d.4s ³ D_3.0	−0.686	SR+Sm	365 0.241	ABO	−6.072	SR+Sm	psa
6 493.78	3d.4p–3d.4s ³ D_1.0	−0.109	SR+Sm	364 0.239	ABO	−6.071	SR+Sm	psa
6 499.65	3d.4p–3d.4s ³ D_2.0	−0.818	SR+Sm	364 0.239	ABO	−6.072	SR+Sm	psa
6 508.84	3d.4p–3d.4s ³ D_3.0	−2.471	Y&D	364 0.239	ABO	−5.830	K07	sa
6 572.77	4s.4p–4s.4s ¹ S_0.0	−4.240	DIKH	280 0.242	ABO	−6.031	DIKH	s
6 717.68	4s.5p–3d.4s ¹ D_2.0	−0.524	SR	992 0.255	ABO	−4.895	SR	psa
7 148.14	3d.4p–3d.4s ¹ D_2.0	0.137	SR	−7.798	SR	−6.009	SR	psa
7 156.69	3d.4p–3d.4s ¹ D_2.0	−3.713	Y&D	−7.710	K07	−5.830	K07	a
7 202.20	3d.4p–3d.4s ¹ D_2.0	−0.262	SR	−7.798	SR	−6.009	SR	psa
7 326.13	4s.4d ¹ D_2.0 –4s.4p	−0.208	S	845 0.275	ABO	−5.161	S	psa
10 275.38	4s.7d ³ D_7.0 –4s.5p	−0.561	K07	−7.437	K07	−3.367	K07	s
10 343.80	4s.5s ¹ S_0.0 –4s.4p	0.043	Y&D	1014 0.221	ABO	−5.060	K07	s
10 833.37	3d.3d ³ P_2.0 –3d.4p	−0.244	K07	−7.590	K07	−4.710	K07	s
10 838.96	3d.3d ³ P_2.0 –3d.4p	0.238	K07	−7.590	K07	−4.710	K07	s
10 861.57	3d.3d ³ P_1.0 –3d.4p	−0.343	K07	−7.590	K07	−5.570	K07	s
10 879.86	3d.3d ³ P_0.0 –3d.4p	−0.357	K07	−7.590	K07	−5.570	K07	s
12 105.82	4s.6d ¹ D_2.0 –4s.5p	−0.478	Y&D	−7.090	K07	−3.870	K07	s
12 909.05	3d.3d ³ F_2.0 –3d.4p	−0.452	Y&D	−7.710	K07	−5.830	K07	s
13 033.54	3d.3d ³ F_3.0 –3d.4p	−0.193	Y&D	−7.710	K07	−5.830	K07	s
13 134.92	3d.3d ³ F_4.0 –3d.4p	−0.043	Y&D	−7.710	K07	−5.830	K07	s
13 167.74	3d.3d ³ F_3.0 –3d.4p	−1.113	Y&D	−7.710	K07	−5.830	K07	s
15 067.03	4s.–4s.4d ¹ D_2.0	−0.664	Y&D	−7.180	K07	−4.110	K07	sa
16 136.80	4s.5d ³ D_1.0 –4s.5p	−0.973	Y&D	−7.250	K07	−4.090	K07	a
16 150.74	4s.5d ³ D_2.0 –4s.5p	−0.369	Y&D	−7.250	K07	−4.090	K07	sa
16 155.22	4s.5d ³ D_1.0 –4s.5p	−0.624	Y&D	−7.250	K07	−4.090	K07	sa
16 157.35	4s.5d ¹ D_2.0 –4s.5p	−0.411	Y&D	−7.260	K07	−4.600	K07	sa
16 197.06	4s.5d ³ D_3.0 –4s.5p	−0.016	Y&D	−7.250	K07	−4.080	K07	sa
19 452.96	3d.4s ³ D_2.0 –4s.4p	−0.958	Y&D	−7.770	K07	−5.860	K07	s
19 505.72	3d.4s ³ D_1.0 –4s.4p	−1.215	Y&D	−7.770	K07	−5.860	K07	s
19 776.75	3d.4s ³ D_3.0 –4s.4p	−0.617	Y&D	−7.770	K07	−5.850	K07	s
19 778.30	4p.4p ¹ S_0.0 –4s.5p	−0.649	Y&D	−7.440	K07	−4.250	K07	sa
19 815.00	4s.4f–4s.4d ¹ D_2.0	0.273	Y&D	1363 0.329	ABO	−4.520	K07	sa
19 853.07	4s.5p–4s.5s ³ S_1.0	0.105	Y&D	1131 0.231	ABO	−4.840	K07	sa
19 862.17	3d.4s ³ D_2.0 –4s.4p	−1.221	Y&D	−7.770	K07	−5.850	K07	s
19 917.17	3d.4s ³ D_1.0 –4s.4p	−2.176	Y&D	−7.770	K07	−5.850	K07	s
19 933.71	4s.5p–4s.5s ³ S_1.0	0.101	Y&D	1130 0.230	ABO	−4.850	K07	sa
20 962.39	4s.6p–4s.4d ³ D_3.0	−0.516	Y&D	−7.230	K07	−3.960	K07	s
22 624.33	4s.4f–4s.4d ³ D_2.0	0.074	Y&D	1259 0.329	ABO	−4.841	K07	a
22 821.04	4s.6p–4s.4d ¹ D_2.0	−0.260	Y&D	−7.300	K07	−4.480	K07	sa

Ca II

6 456.87	6g ² G_3.5 –4f ² F_3.5	−0.394	TB	−7.377	TB	−4.311	TB	ps
8 201.72	5d ² D_1.5 –	0.343	K10	−7.430	K	−4.980	K10	ps
8 248.78	5d ² D_2.5 –	0.556	TB	−7.412	TB	−4.600	TB	psa
8 254.71	5d ² D_1.5 –	−0.398	TB	−7.412	TB	−4.600	TB	ps
8 498.02	–3d ² D_1.5	−1.416	T	291 0.275	ABO	−5.700	T	psa
8 542.08	–3d ² D_2.5	−0.463	T	291 0.275	ABO	−5.700	T	psa
8 662.13	–3d ² D_1.5	−0.723	T	291 0.275	ABO	−5.700	T	psa
8 912.06	–4d ² D_1.5	0.637	TB	−7.512	TB	-5.100	TB	psa
9 854.75	6s ² S_0.5 –	−0.205	K10	−7.430	K	−5.010	K10	s
9 890.62	5g ² G_8.5 –	1.268	TB	−7.607	TB	−4.541	TB	s
9 931.37	6s ² S_0.5 –	0.092	K10	−7.430	K10	−5.010	K10	s
11 838.99	–5s ² S_0.5	0.290	ATP-N	−7.560	K10	−5.530	K10	s
11 949.73	–5s ² S_0.5	−0.010	ATP-N	−7.560	K10	−5.530	K10	s
16 654.99	6d ² D_4.5 –6p	0.688	K10	−7.581	K10	−4.881	K10	s
21 428.89	5d ² D_1.5 –	0.389	K10	−7.430	K10	−4.980	K10	s

Notes. Columns 1 and 2 show wavelength and the levels involved, oscillator strength (log gf) and source reference are in Cols. 3 and 4. Van der Waals line broadening parameters and its reference source are in Cols. 5 and 6. Columns 7 and 8 show the Stark broadening parameter and its source reference. When available, Van der Waals broadening was calculated using the ABO theory with the broadening cross section σ and the velocity parameter α shown in this table. The last column indicates the starts for which each line was used: “p” for Procyon, “s” for the Sun and “a” for Arcturus.

References. K07 (Kurucz 2007), K10 (Kurucz 2010), ABO (Anstee & O’Mara 1995; Barklem & O’Mara 1997; Barklem et al. 1998a,b), ORK-N (Olsen et al. 1959), Y&D (Yu & Derevianko 2018), SG (Smith & Gallagher 1966), S (Smith 1988), SN (Smith & O’Neill 1975), SR (Smith & Raggett 1981), Sm (Smith 1981), DIKH (Drozdowski et al. 1997), TB (Seaton et al. 1994), T (Theodosiou 1989).

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