3D NLTE sodium abundances in late-type stars - Abundance corrections and synthetic spectra

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Table 1

Atomic data of the sodium lines computed for the 3D NLTE grid, as implemented in the model atom of Lind et al. (2011) with modifications from Canocchi et al. (2024a).

λ [Å]	Transition	^(a)E_low [cm⁻¹]	^(b)log gf	^(c)σ [a.u.]	^(d)α	^(e)Γ [rad s⁻¹]	^(f)log C₄ [cm⁴ s⁻¹]
5682	$3 p^{2} P_{1 / 2}^{0} - 4 d^{2} D_{5 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{1/2}^0 - 4{{\rm{d}}^2}{{\rm{D}}_{5/2}}$$	16 956.17	−0.706	1955	0.327	8.05 × 10⁷	−12.18
5688	$3 p^{2} P_{3 / 2}^{0} - 4 d^{2} D_{5 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{3/2}^0 - 4{{\rm{d}}^2}{{\rm{D}}_{5/2}}$$	16 973.37	−0.452	1955	0.327	8.07 × 10⁷	−12.18
5889	$3 s^{2} S_{1 / 2} - 3 p^{2} P_{3 / 2}^{0}$ $Mathematical equation: $3{{\rm{s}}^2}{{\rm{S}}_{1/2}} - 3{{\rm{p}}^2}{\rm{P}}_{3/2}^0$$	0.00	0.108	407	0.273	6.16 × 10⁷	−15.11
5896	$3 s^{2} S_{1 / 2} - 3 p^{2} P_{1 / 2}^{0}$ $Mathematical equation: $3{{\rm{s}}^2}{{\rm{S}}_{1/2}} - 3{{\rm{p}}^2}{\rm{P}}_{1/2}^0$$	0.00	−0.194	407	0.273	6.14 × 10⁷	−15.11
6154	$3 p^{2} P_{1 / 2}^{0} - 5 s^{2} S_{1 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{1/2}^0 - 5{{\rm{s}}^2}{{\rm{S}}_{1/2}}$$	16 956.17	−1.547	2594	0.021	7.43 × 10⁷	−13.20
6160	$3 p^{2} P_{3 / 2}^{0} - 5 s^{2} S_{1 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{3/2}^0 - 5{{\rm{s}}^2}{{\rm{S}}_{1/2}}$$	16 973.37	−1.246	2594	0.021	7.45 × 10⁷	−13.20
8183	$3 p^{2} P_{1 / 2}^{0} - 3 d^{2} D_{3 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{1/2}^0 - 3{{\rm{d}}^2}{{\rm{D}}_{3/2}}$$	16 956.17	0.237	804	0.270	1.13 × 10⁸	−13.76
8194	$3 p^{2} P_{3 / 2}^{0} - 3 d^{2} D_{5 / 2}$ $Mathematical equation: $3{{\rm{p}}^2}{\rm{P}}_{3/2}^0 - 3{{\rm{d}}^2}{{\rm{D}}_{5/2}}$$	16 973.37	0.492	804	0.270	1.13 × 10⁸	−13.76
10 747	$4 s^{2} S_{1 / 2} - 5 p^{2} P_{3 / 2}^{0}$ $Mathematical equation: $4{{\rm{s}}^2}{{\rm{S}}_{1/2}} - 5{{\rm{p}}^2}{\rm{P}}_{3/2}^0$$	25 739.99	−1.294	2720	0.192	2.91 × 10⁷	−12.64

Notes. ^(a)E_low is the excitation energy of the lower level of the transition, taken from the NIST database (Ralchenko 2005; Sansonetti 2008). ^(b) log g f are from the VALD3 database (Ryabchikova et al. 2015), where f is the oscillator strength, or transition probability, and g is the statistical weight. ^(c)σ is the broadening cross-section for elastic collisions with hydrogen atoms at a relative velocity of 10⁴ m s⁻¹. ^(d)α is the exponent with which σ varies with velocity (i.e. v^−α, Anstee & O’Mara 1995). ^(e)Γ is the natural broadening width. ^(f)C₄ is the Stark broadening constant, estimated from Dimitrijevic & Sahal-Brechot (1990).

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