Cloud and haze parameterization in atmospheric retrievals: Insights from Titan's Cassini data and JWST observations of hot Jupiters

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Table C.1

Retrieved properties from the NIRISS observations of HAT-P-18 b, WASP-39 b, and WASP-96 b using the free and FRECKLL retrievals.

	HAT-P-18b		WASP-39b		WASP-96b

	Free	FRECKLL	Free	FRECKLL	Free	FRECKLL
log(H₂O)	$- {4.11}_{- 0.34}^{+ 0.35}$ $-4.11^{+0.35}_{-0.34}$		$- {1.63}_{- 0.16}^{+ 0.17}$ $-1.63^{+0.17}_{-0.16}$		$- {3.7}_{- 0.23}^{+ 0.23}$ $-3.7^{+0.23}_{-0.23}$
log(CH₄)	$- {5.64}_{- 0.28}^{+ 0.3}$ $-5.64^{+0.3}_{-0.28}$		$- {7.75}_{- 1.39}^{+ 1.25}$ $-7.75^{+1.25}_{-1.39}$		$- {8.0}_{- 1.26}^{+ 1.29}$ $-8.0^{+1.29}_{-1.26}$
log(CO)	$- {6.32}_{- 2.22}^{+ 2.04}$ $-6.32^{+2.04}_{-2.22}$		$- {3.3}_{- 2.48}^{+ 0.72}$ $-3.3^{+0.72}_{-2.48}$		$- {2.69}_{- 2.19}^{+ 0.56}$ $-2.69^{+0.56}_{-2.19}$
log(CO₂)	$- {4.84}_{- 0.5}^{+ 0.49}$ $-4.84^{+0.49}_{-0.5}$		$- {6.12}_{- 2.37}^{+ 1.72}$ $-6.12^{+1.72}_{-2.37}$		$- {6.66}_{- 2.05}^{+ 1.53}$ $-6.66^{+1.53}_{-2.05}$
log(Na)	$- {4.41}_{- 0.91}^{+ 0.65}$ $-4.41^{+0.65}_{-0.91}$	$- {4.84}_{- 2.07}^{+ 1.23}$ $-4.84^{+1.23}_{-2.07}$	$- {2.83}_{- 0.33}^{+ 0.34}$ $-2.83^{+0.34}_{-0.33}$	$- {4.39}_{- 0.19}^{+ 0.2}$ $-4.39^{+0.2}_{-0.19}$	$- {3.29}_{- 0.71}^{+ 0.63}$ $-3.29^{+0.63}_{-0.71}$	$- {3.6}_{- 0.5}^{+ 0.51}$ $-3.6^{+0.51}_{-0.5}$
log(K)	$- {9.48}_{- 0.36}^{+ 0.54}$ $-9.48^{+0.54}_{-0.36}$	$- {8.57}_{- 0.65}^{+ 0.63}$ $-8.57^{+0.63}_{-0.65}$	$- {5.26}_{- 0.38}^{+ 0.36}$ $-5.26^{+0.36}_{-0.38}$	$- {6.73}_{- 0.21}^{+ 0.19}$ $-6.73^{+0.19}_{-0.21}$	$- {5.28}_{- 0.33}^{+ 0.35}$ $-5.28^{+0.35}_{-0.33}$	$- {5.21}_{- 0.27}^{+ 0.26}$ $-5.21^{+0.26}_{-0.27}$
log(Z)	$- {0.77}_{- 0.4}^{+ 0.47}$ $-0.77^{+0.47}_{-0.4}$	${1.19}_{- 0.07}^{+ 0.08}$ $1.19^{+0.08}_{-0.07}$	${1.31}_{- 0.16}^{+ 0.17}$ $1.31^{+0.17}_{-0.16}$	${0.71}_{- 0.08}^{+ 0.09}$ $0.71^{+0.09}_{-0.08}$	${0.6}_{- 0.87}^{+ 0.5}$ $0.6^{+0.5}_{-0.87}$	$- {0.29}_{- 0.28}^{+ 0.3}$ $-0.29^{+0.3}_{-0.28}$
C/O	${0.21}_{- 0.1}^{+ 0.23}$ $0.21^{+0.23}_{-0.1}$	${0.93}_{- 0.04}^{+ 0.02}$ $0.93^{+0.02}_{-0.04}$	${0.02}_{- 0.02}^{+ 0.09}$ $0.02^{+0.09}_{-0.02}$	${0.35}_{- 0.1}^{+ 0.11}$ $0.35^{+0.11}_{-0.1}$	${0.91}_{- 0.8}^{+ 0.07}$ $0.91^{+0.07}_{-0.8}$	${0.58}_{- 0.28}^{+ 0.19}$ $0.58^{+0.19}_{-0.28}$
log(O/H)	$- {0.8}_{- 0.37}^{+ 0.43}$ $-0.8^{+0.43}_{-0.37}$		${1.47}_{- 0.16}^{+ 0.16}$ $1.47^{+0.16}_{-0.16}$		${0.43}_{- 0.95}^{+ 0.54}$ $0.43^{+0.54}_{-0.95}$
log(C/H)	$- {1.26}_{- 0.5}^{+ 0.64}$ $-1.26^{+0.64}_{-0.5}$		${0.02}_{- 1.71}^{+ 0.71}$ $0.02^{+0.71}_{-1.71}$		${0.62}_{- 1.95}^{+ 0.56}$ $0.62^{+0.56}_{-1.95}$
log(Na/H)	${1.14}_{- 0.92}^{+ 0.65}$ $1.14^{+0.65}_{-0.92}$		${2.71}_{- 0.33}^{+ 0.34}$ $2.71^{+0.34}_{-0.33}$		${2.25}_{- 0.72}^{+ 0.63}$ $2.25^{+0.63}_{-0.72}$
log(K/H)	$- {2.79}_{- 0.36}^{+ 0.55}$ $-2.79^{+0.55}_{-0.36}$		${1.44}_{- 0.38}^{+ 0.36}$ $1.44^{+0.36}_{-0.38}$		${1.42}_{- 0.33}^{+ 0.35}$ $1.42^{+0.35}_{-0.33}$
log(Kzz)		${9.71}_{- 1.41}^{+ 1.55}$ $9.71^{+1.55}_{-1.41}$		${10.55}_{- 1.28}^{+ 1.41}$ $10.55^{+1.41}_{-1.28}$		${10.77}_{- 2.2}^{+ 2.0}$ $10.77^{+2.0}_{-2.2}$
log(μ_lee)	$- {1.41}_{- 0.47}^{+ 0.53}$ $-1.41^{+0.53}_{-0.47}$	$- {0.89}_{- 0.35}^{+ 0.29}$ $-0.89^{+0.29}_{-0.35}$	$- {1.31}_{- 0.51}^{+ 0.53}$ $-1.31^{+0.53}_{-0.51}$	$- {1.03}_{- 0.34}^{+ 0.29}$ $-1.03^{+0.29}_{-0.34}$	$- {2.25}_{- 1.1}^{+ 1.43}$ $-2.25^{+1.43}_{-1.1}$	$- {1.98}_{- 1.28}^{+ 1.7}$ $-1.98^{+1.7}_{-1.28}$
log(χ_lee)	${11.27}_{- 3.13}^{+ 2.84}$ $11.27^{+2.84}_{-3.13}$	${8.88}_{- 1.76}^{+ 2.0}$ $8.88^{+2.0}_{-1.76}$	${10.97}_{- 3.21}^{+ 3.11}$ $10.97^{+3.11}_{-3.21}$	${9.69}_{- 1.7}^{+ 2.01}$ $9.69^{+2.01}_{-1.7}$	${6.37}_{- 4.33}^{+ 5.38}$ $6.37^{+5.38}_{-4.33}$	${6.89}_{- 4.39}^{+ 5.05}$ $6.89^{+5.05}_{-4.39}$
Q_lee	${57.81}_{- 21.65}^{+ 23.89}$ $57.81^{+23.89}_{-21.65}$	${54.59}_{- 17.44}^{+ 17.78}$ $54.59^{+17.78}_{-17.44}$	${55.95}_{- 24.87}^{+ 25.56}$ $55.95^{+25.56}_{-24.87}$	${53.2}_{- 21.19}^{+ 19.1}$ $53.2^{+19.1}_{-21.19}$	${52.65}_{- 33.15}^{+ 27.96}$ $52.65^{+27.96}_{-33.15}$	${49.6}_{- 27.25}^{+ 28.7}$ $49.6^{+28.7}_{-27.25}$
log(P_lee)	${3.95}_{- 0.43}^{+ 0.42}$ $3.95^{+0.42}_{-0.43}$	${3.03}_{- 0.17}^{+ 0.25}$ $3.03^{+0.25}_{-0.17}$	${2.73}_{- 0.6}^{+ 0.65}$ $2.73^{+0.65}_{-0.6}$	${2.66}_{- 0.07}^{+ 0.09}$ $2.66^{+0.09}_{-0.07}$	${2.1}_{- 3.01}^{+ 2.64}$ $2.1^{+2.64}_{-3.01}$	${0.67}_{- 2.37}^{+ 3.55}$ $0.67^{+3.55}_{-2.37}$
ΔP_lee	${2.67}_{- 0.85}^{+ 0.79}$ $2.67^{+0.79}_{-0.85}$	${2.29}_{- 0.45}^{+ 0.66}$ $2.29^{+0.66}_{-0.45}$	${1.92}_{- 1.17}^{+ 1.31}$ $1.92^{+1.31}_{-1.17}$	${0.32}_{- 0.08}^{+ 0.1}$ $0.32^{+0.1}_{-0.08}$	${2.14}_{- 1.23}^{+ 1.19}$ $2.14^{+1.19}_{-1.23}$	${1.98}_{- 1.14}^{+ 1.13}$ $1.98^{+1.13}_{-1.14}$

Notes. For the free retrievals, elemental ratios are calculated using the approach from L13, with Z defined here as (C+O+R)/H. Contrary to Figure C.3, the elemental ratios quoted here are normalized to the solar values.

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