VLTI/GRAVITY interferometric measurements of the innermost dust structure sizes around active galactic nuclei

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Volume 690 (October 2024)

A&A, 690 (2024) A76

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Table 4.

Results of linear regression of R − L relations for OI and RM measurements.

L	Definition	σ_{log L}	log(L₀/erg s⁻¹)	R	N	c	m	σ_intrin
L_bol	Bolometric luminosity in this work	0.3	45.1	OI	25	$- 0 . 55_{- 0.05}^{+ 0.05}$ $-0.55_{-0.05}^{+0.05}$	$0 . 45_{- 0.05}^{+ 0.05}$ $0.45_{-0.05}^{+0.05}$	0.20
				RM	29	$- 0 . 95_{- 0.05}^{+ 0.05}$ $-0.95_{-0.05}^{+0.05}$	$0 . 44_{- 0.05}^{+ 0.05}$ $0.44_{-0.05}^{+0.05}$	0.15

L_{14 − 195 keV}	14−195 keV luminosity	0.1	43.6	OI	18	$- 0 . 87_{- 0.05}^{+ 0.05}$ $-0.87_{-0.05}^{+0.05}$	$0 . 50_{- 0.07}^{+ 0.07}$ $0.50_{-0.07}^{+0.07}$	0.21
				RM	23	$- 1 . 26_{- 0.04}^{+ 0.04}$ $-1.26_{-0.04}^{+0.04}$	$0 . 41_{- 0.06}^{+ 0.06}$ $0.41_{-0.06}^{+0.06}$	0.19
$λ L_{λ} (5100 Å)$ $\lambda L_{\lambda}(5100\,\AA)$	Monochromatic luminosity at $5100 Å$ $5100\,\AA$	0.05	43.9	OI	25	$- 0 . 68_{- 0.04}^{+ 0.04}$ $-0.68_{-0.04}^{+0.04}$	$0 . 39_{- 0.04}^{+ 0.04}$ $0.39_{-0.04}^{+0.04}$	0.20
				RM	29	$- 1 . 03_{- 0.04}^{+ 0.04}$ $-1.03_{-0.04}^{+0.04}$	$0 . 37_{- 0.03}^{+ 0.03}$ $0.37_{-0.03}^{+0.03}$	0.17
λL_λ(12 μm)	Monochromatic luminosity at 12 μm	0.1	44.2	OI	20	$- 0 . 68_{- 0.04}^{+ 0.04}$ $-0.68_{-0.04}^{+0.04}$	$0 . 47_{- 0.04}^{+ 0.04}$ $0.47_{-0.04}^{+0.04}$	0.16
				RM	14	$- 1 . 03_{- 0.05}^{+ 0.05}$ $-1.03_{-0.05}^{+0.05}$	$0 . 41_{- 0.04}^{+ 0.04}$ $0.41_{-0.04}^{+0.04}$	0.14

L_{bol, 14 − 195 keV}	Bolometric luminosity from L_{14 − 195 keV}	0.3	44.4	OI	18	$- 0 . 87_{- 0.05}^{+ 0.05}$ $-0.87_{-0.05}^{+0.05}$	$0 . 50_{- 0.07}^{+ 0.07}$ $0.50_{-0.07}^{+0.07}$	0.16
				RM	23	$- 1 . 27_{- 0.04}^{+ 0.04}$ $-1.27_{-0.04}^{+0.04}$	$0 . 41_{- 0.06}^{+ 0.06}$ $0.41_{-0.06}^{+0.06}$	0.16
$L_{bol, 5100 Å}$ $L_{\mathrm{bol, 5100\,\AA}}$	Bolometric luminosity from $L_{λ} (5100 Å)$ $L_{\lambda}(5100\,\AA)$	0.3	44.8	OI	25	$- 0 . 68_{- 0.04}^{+ 0.04}$ $-0.68_{-0.04}^{+0.04}$	$0 . 46_{- 0.05}^{+ 0.04}$ $0.46_{-0.05}^{+0.04}$	0.16
				RM	29	$- 1 . 01_{- 0.04}^{+ 0.04}$ $-1.01_{-0.04}^{+0.04}$	$0 . 44_{- 0.04}^{+ 0.04}$ $0.44_{-0.04}^{+0.04}$	0.12
L_{bol, 12 μm}	Bolometric luminosity from L_λ(12 μm)	0.3	44.9	OI	20	$- 0 . 68_{- 0.04}^{+ 0.04}$ $-0.68_{-0.04}^{+0.04}$	$0 . 46_{- 0.04}^{+ 0.04}$ $0.46_{-0.04}^{+0.04}$	0.11
				RM	14	$- 1 . 03_{- 0.06}^{+ 0.05}$ $-1.03_{-0.06}^{+0.05}$	$0 . 41_{- 0.05}^{+ 0.06}$ $0.41_{-0.05}^{+0.06}$	0.12

Notes. R is the type of the dust size measurements. N is the number of the data pair of each fitting, depending on the data availability of each kind of luminosity measurement. L₀, c, and m are defined in Eq. (2), and σ_intrin is the intrinsic scatter about the relation.

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