The ESO SupJup Survey - II. The 12C/13C isotope ratios of three young brown dwarfs with CRIRES+

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Volume 689 (September 2024)

A&A, 689 (2024) A212

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Table 3

Retrieved parameters and their uncertainties.

Parameter	Description	Prior range	J1200	TWA28	J0856
log ¹²CO	log mixing ratio of¹²CO	[−12.0, −2.0]	$- {4.0}_{- 0.1}^{+ 0.1}$ ${ - 4.0_{ - 0.1}^{ + 0.1}}$	$- {3.7}_{- 0.1}^{+ 0.1}$ ${ - 3.7_{ - 0.1}^{ + 0.1}}$	$- {3.7}_{- 0.1}^{+ 0.1}$ ${ - 3.7_{ - 0.1}^{ + 0.1}}$
log ¹³CO	log mixing ratio of ¹³CO	[−12.0, −2.0]	$- {6.1}_{- 0.3}^{+ 0.2}$ ${ - 6.1_{ - 0.3}^{ + 0.2}}$	$- {5.6}_{- 0.2}^{+ 0.2}$ ${ - 5.6_{ - 0.2}^{ + 0.2}}$	$- {5.6}_{- 0.1}^{+ 0.1}$ ${ - 5.6_{ - 0.1}^{ + 0.1}}$
log $H_{2}^{16} O$ ${\rm{H}}_2^{16}{\rm{O}}$	log mixing ratio of $H_{2}^{16} O$ ${\rm{H}}_2^{16}{\rm{O}}$	[−12.0, −2.0]	$- {4.2}_{- 0.1}^{+ 0.1}$ ${ - 4.2_{ - 0.1}^{ + 0.1}}$	$- {3.9}_{- 0.1}^{+ 0.1}$ ${ - 3.9_{ - 0.1}^{ + 0.1}}$	$- {3.8}_{- 0.1}^{+ 0.1}$ ${ - 3.8_{ - 0.1}^{ + 0.1}}$
log $H_{2}^{18} O$ ${\rm{H}}_2^{18}{\rm{O}}$	log mixing ratio of H₂¹⁸O	[−12.0, −2.0]	$- {6.8}_{- 1.6}^{+ 0.4}$ ${ - 6.8_{ - 1.6}^{ + 0.4}}$	$- {6.2}_{- 0.3}^{+ 0.2}$ ${ - 6.2_{ - 0.3}^{ + 0.2}}$	$- {6.0}_{- 0.1}^{+ 0.1}$ ${ - 6.0_{ - 0.1}^{ + 0.1}}$
log HF	log mixing ratio of HF	[−12.0, −2.0]	$- {8.2}_{- 0.2}^{+ 0.2}$ ${ - 8.2_{ - 0.2}^{ + 0.2}}$	$- {8.0}_{- 0.2}^{+ 0.2}$ ${ - 8.0_{ - 0.2}^{ + 0.2}}$	$- {7.9}_{- 0.2}^{+ 0.1}$ ${ - 7.9_{ - 0.2}^{ + 0.1}}$
log Na	log mixing ratio of Na	[−12.0, −2.0]	$- {6.0}_{- 0.2}^{+ 0.2}$ ${ - 6.0_{ - 0.2}^{ + 0.2}}$	$- {6.2}_{- 0.3}^{+ 0.3}$ ${ - 6.2_{ - 0.3}^{ + 0.3}}$	$- {5.9}_{- 0.5}^{+ 0.3}$ ${ - 5.9_{ - 0.5}^{ + 0.3}}$
log Ca	log mixing ratio of Ca	[−12.0, −2.0]	$- {5.3}_{- 0.2}^{+ 0.2}$ ${ - 5.3_{ - 0.2}^{ + 0.2}}$	$- {5.4}_{- 0.2}^{+ 0.2}$ ${ - 5.4_{ - 0.2}^{ + 0.2}}$	$- {5.3}_{- 0.2}^{+ 0.2}$ ${ - 5.3_{ - 0.2}^{ + 0.2}}$
log Ti	log mixing ratio of Ti	[−12.0, −2.0]	$- {7.5}_{- 0.3}^{+ 0.2}$ $- 7.5_{ - 0.3}^{ + 0.2}$	$- {7.4}_{- 0.2}^{+ 0.2}$ $- 7.4_{ - 0.2}^{ + 0.2}$	$- 8_{- 2}^{+ 1}$ $- 8_{ - 2}^{ + 1}$
log 𝑔 (cm s⁻²)	log surface gravity	[2.00, 5.50]	${3.3}_{- 0.2}^{+ 0.2}$ $3.3_{ - 0.2}^{ + 0.2}$	${3.5}_{- 0.1}^{+ 0.1}$ $3.5_{ - 0.1}^{ + 0.1}$	${3.9}_{- 0.1}^{+ 0.1}$ $3.9_{ - 0.1}^{ + 0.1}$
ϵ_limb	Limb darkening coefficient	[0.10, 0.98]	${0.4}_{- 0.2}^{+ 0.3}$ $0.4_{ - 0.2}^{ + 0.3}$	${0.2}_{- 0.0}^{+ 0.1}$ $0.2_{ - 0.0}^{ + 0.1}$	${0.5}_{- 0.2}^{+ 0.2}$ $0.5_{ - 0.2}^{ + 0.2}$
υ sin i (km s⁻¹)	Projected rotational velocity	[2.0, 30.0]	${5.3}_{- 0.2}^{+ 0.2}$ $5.3_{ - 0.2}^{ + 0.2}$	${11.6}_{- 0.1}^{+ 0.1}$ $11.6_{ - 0.1}^{ + 0.1}$	${4.5}_{- 0.1}^{+ 0.2}$ $4.5_{ - 0.1}^{ + 0.2}$
υ_rad (km s⁻¹)	Radial velocity	[−40.00, 40.00]	${14.84}_{- 0.04}^{+ 0.03}$ ${14.84_{ - 0.04}^{ + 0.03}}$	${12.6}_{- 0.1}^{+ 0.1}$ ${12.6_{ - 0.1}^{ + 0.1}}$	${7.42}_{- 0.03}^{+ 0.03}$ ${7.42_{ - 0.03}^{ + 0.03}}$
∇_T,0	Temperature gradient at P₀ = 10² bar	[0.06, 0.32]	${0.2}_{- 0.1}^{+ 0.1}$ ${0.2_{ - 0.1}^{ + 0.1}}$	${0.2}_{- 0.1}^{+ 0.1}$ ${0.2_{ - 0.1}^{ + 0.1}}$	${0.2}_{- 0.1}^{+ 0.1}$ ${0.2_{ - 0.1}^{ + 0.1}}$
∇_T,1	Temperature gradient at P₁ + ∆P	[0.06, 0.22]	${0.14}_{- 0.05}^{+ 0.04}$ ${0.14_{ - 0.05}^{ + 0.04}}$	${0.15}_{- 0.05}^{+ 0.04}$ ${0.15_{ - 0.05}^{ + 0.04}}$	${0.14}_{- 0.05}^{+ 0.05}$ ${0.14_{ - 0.05}^{ + 0.05}}$
∇_T,2	Temperature gradient at P₂ + ∆P	[0.06, 0.32]	${0.09}_{- 0.02}^{+0 . 04}$ $0.09_{ - 0.02}^{{\rm{ + 0}}.{\rm{04}}}$	${0.1}_{- 0.0}^{+ 0.1}$ $0.1_{ - 0.0}^{ + 0.1}$	${0.09}_{- 0.02}^{+ 0.03}$ $0.09_{ - 0.02}^{ + 0.03}$
∇_T,3	Temperature gradient at P₃ + ∆P	[0.06, 0.32]	${0.063}_{- 0.002}^{+ 0.004}$ $0.063_{ - 0.002}^{ + 0.004}$	${0.07}_{- 0.00}^{+ 0.01}$ $0.07_{ - 0.00}^{ + 0.01}$	${0.063}_{- 0.002}^{+ 0.003}$ $0.063_{ - 0.002}^{ + 0.003}$
∇_T,4	Temperature gradient at P₄ + ∆P	[0.06, 0.32]	${0.15}_{- 0.01}^{+ 0.02}$ ${0.15_{ - 0.01}^{ + 0.02}}$	${0.14}_{- 0.01}^{+ 0.01}$ ${0.14_{ - 0.01}^{ + 0.01}}$	${0.16}_{- 0.01}^{+ 0.01}$ ${0.16_{ - 0.01}^{ + 0.01}}$
∇_T,5	Temperature gradient at P₅ + ∆P	[0.02, 0.24]	${0.03}_{- 0.01}^{+ 0.01}$ ${0.03_{ - 0.01}^{ + 0.01}}$	${0.03}_{- 0.01}^{+ 0.01}$ ${0.03_{ - 0.01}^{ + 0.01}}$	${0.03}_{- 0.00}^{+ 0.01}$ ${0.03_{ - 0.00}^{ + 0.01}}$
∇_T,6	Temperature gradient at P₆ + ∆P	[0.00, 0.22]	${0.01}_{- 0.01}^{+ 0.01}$ ${0.01_{ - 0.01}^{ + 0.01}}$	${0.01}_{- 0.01}^{+ 0.01}$ ${0.01_{ - 0.01}^{ + 0.01}}$	${0.01}_{- 0.01}^{+ 0.01}$ ${0.01_{ - 0.01}^{ + 0.01}}$
∇_T,7	Temperature gradient at P₇ = 10⁻⁵ bar	[0.00, 0.22]	${0.1}_{- 0.1}^{+ 0.1}$ $0.1_{ - 0.1}^{ + 0.1}$	${0.1}_{- 0.1}^{+ 0.1}$ $0.1_{ - 0.1}^{ + 0.1}$	${0.1}_{- 0.1}^{+ 0.1}$ $0.1_{ - 0.1}^{ + 0.1}$
log ∆P (bar)	log pressure shift of PT knots	[−0.80, 0.80]	${0.1}_{- 0.1}^{+ 0.1}$ $0.1_{ - 0.1}^{ + 0.1}$	${0.3}_{- 0.1}^{+ 0.1}$ $0.3_{ - 0.1}^{ + 0.1}$	${0.53}_{- 0.05}^{+ 0.05}$ $0.53_{ - 0.05}^{ + 0.05}$
T₀ (K)	Temperature at 10² bar	[3000, 9000]	$5002_{- 492}^{+ 627}$ $5002_{ - 492}^{ + 627}$	$4930_{- 528}^{+ 626}$ $4930_{ - 528}^{ + 626}$	$4086_{- 334}^{+ 368}$ $4086_{ - 334}^{ + 368}$
r₀	Veiling factor at λ = 1.90 µm	[0.00, 2.00]	${0.14}_{- 0.06}^{+ 0.06}$ ${0.14_{ - 0.06}^{ + 0.06}}$	${0.02}_{- 0.01}^{+ 0.02}$ ${0.02_{ - 0.01}^{ + 0.02}}$	${0.01}_{- 0.01}^{+ 0.01}$ ${0.01_{ - 0.01}^{ + 0.01}}$
α	Veiling power law exponent	[0.00, 3.00]	${0.74}_{- 0.44}^{+ 0.58}$ ${0.74_{ - 0.44}^{ + 0.58}}$	${1.43}_{- 0.87}^{+ 0.92}$ ${1.43_{ - 0.87}^{ + 0.92}}$	${1.34}_{- 0.81}^{+ 0.89}$ ${1.34_{ - 0.81}^{ + 0.89}}$
log a	GP amplitude	[−1.00, 0.50]	${0.282}_{- 0.005}^{+ 0.005}$ ${0.282_{ - 0.005}^{ + 0.005}}$	${0.03}_{- 0.01}^{+ 0.01}$ ${0.03_{ - 0.01}^{ + 0.01}}$	${0.333}_{- 0.004}^{+ 0.004}$ ${0.333_{ - 0.004}^{ + 0.004}}$
log l (nm)	GP lengthscale	[−2.00, −0.80]	$- {1.499}_{- 0.014}^{+ 0.002}$ ${ - 1.499_{ - 0.014}^{ + 0.002}}$	$- {1.387}_{- 0.004}^{+ 0.003}$ ${ - 1.387_{ - 0.004}^{ + 0.003}}$	$- {1.556}_{- 0.007}^{+ 0.001}$ ${ - 1.556_{ - 0.007}^{ + 0.001}}$

Notes. The table includes the GP parameters, physical properties (surface gravity and rotational velocity), and VMRs of the chemical species. Uncertainties are represented as 1σ intervals.

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