Mid-infrared extinction curve for protostellar envelopes from JWST-detected embedded jet emission: The case of TMC1A

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Table A.4

Measured electron densities toward jet locations

λ	R_corrected				${\bar{n}}_{e}$ ${\bar n_e}$
	B	F1	F2	F3	B	F1	F2	F3
1.295	0.338	0.720	1.407	0.161	—	—	—	${0.8}_{0.5}^{1.5}$ $0.8_{0.5}^{1.5}$
1.328	0.158	0.159	0.125	0.110	${4.7}_{2.0}^{90.0}$ $4.7_{2.0}^{90.0}$	${5.0}_{2.0}^{90.0}$ $5.0_{2.0}^{90.0}$	${2.0}_{1.0}^{3.5}$ $2.0_{1.0}^{3.5}$	${1.4}_{0.8}^{2.0}$ $1.4_{0.8}^{2.0}$
1.534	0.301	0.268	0.210	0.178	${3.7}_{2.0}^{20.0}$ $3.7_{2.0}^{20.0}$	${2.4}_{1.5}^{5.0}$ $2.4_{1.5}^{5.0}$	${1.1}_{0.7}^{1.0}$ $1.1_{0.7}^{1.0}$	${0.8}_{0.5}^{1.0}$ $0.8_{0.5}^{1.0}$
1.677	0.209	0.181	0.140	0.110	${3.1}_{1.5}^{8.5}$ $3.1_{1.5}^{8.5}$	${2.0}_{1.0}^{3.5}$ $2.0_{1.0}^{3.5}$	${0.9}_{0.6}^{1.5}$ $0.9_{0.6}^{1.5}$	${0.5}_{0.3}^{0.8}$ $0.5_{0.3}^{0.8}$
1.801	0.143	0.116	0.093	0.083	${3.3}_{1.5}^{10.0}$ $3.3_{1.5}^{10.0}$	${1.7}_{0.9}^{3.0}$ $1.7_{0.9}^{3.0}$	${0.9}_{0.5}^{1.5}$ $0.9_{0.5}^{1.5}$	${0.7}_{0.4}^{1.0}$ $0.7_{0.4}^{1.0}$
1.279	0.230	0.217	0.170	0.097	${6.8}_{3.5}^{100.0}$ $6.8_{3.5}^{100.0}$	${5.1}_{2.5}^{90.0}$ $5.1_{2.5}^{90.0}$	${2.4}_{1.5}^{3.5}$ $2.4_{1.5}^{3.5}$	${0.7}_{0.5}^{1.0}$ $0.7_{0.5}^{1.0}$
1.298	0.084	0.080	0.043	0.046	${3.3}_{2.0}^{9.5}$ $3.3_{2.0}^{9.5}$	${2.9}_{1.5}^{6.5}$ $2.9_{1.5}^{6.5}$	${0.8}_{0.5}^{1.0}$ $0.8_{0.5}^{1.0}$	${0.9}_{0.6}^{1.0}$ $0.9_{0.6}^{1.0}$
1.600	0.229	0.194	0.156	0.116	${3.6}_{2.0}^{10.0}$ $3.6_{2.0}^{10.0}$	${2.4}_{1.5}^{3.5}$ $2.4_{1.5}^{3.5}$	${1.5}_{0.9}^{2.0}$ $1.5_{0.9}^{2.0}$	${0.8}_{0.6}^{1.0}$ $0.8_{0.6}^{1.0}$
1.712	0.055	0.047	0.039	0.025	${2.8}_{1.5}^{5.0}$ $2.8_{1.5}^{5.0}$	${2.0}_{1.0}^{3.0}$ $2.0_{1.0}^{3.0}$	${1.4}_{0.9}^{2.0}$ $1.4_{0.9}^{2.0}$	${0.6}_{0.4}^{0.8}$ $0.6_{0.4}^{0.8}$
1.798	0.102	0.081	0.065	0.116	${3.7}_{2.0}^{20.0}$ $3.7_{2.0}^{20.0}$	${2.0}_{1.0}^{3.0}$ $2.0_{1.0}^{3.0}$	${1.2}_{0.8}^{2.0}$ $1.2_{0.8}^{2.0}$	—
1.271	0.137	0.142	0.091	0.052	${4.0}_{2.5}^{20.0}$ $4.0_{2.5}^{20.0}$	${4.6}_{2.5}^{85.0}$ $4.6_{2.5}^{85.0}$	${1.5}_{1.0}^{2.0}$ $1.5_{1.0}^{2.0}$	${0.6}_{0.4}^{0.8}$ $0.6_{0.4}^{0.8}$
1.664	0.119	0.103	0.083	0.070	${3.5}_{2.0}^{9.5}$ $3.5_{2.0}^{9.5}$	${2.3}_{1.5}^{3.5}$ $2.3_{1.5}^{3.5}$	${1.5}_{1.0}^{2.0}$ $1.5_{1.0}^{2.0}$	${1.0}_{0.7}^{1.5}$ $1.0_{0.7}^{1.5}$

Average n_e					3.6e+04 ± 1e+04	2.5e+04 ± 0.6e+04	1.5 ± 5e+03	8.0e+03 ± 3e+03

Notes: Estimated electron densities were calculated using the ’a4D’ line intensity ratios relative to the 1.644 µm line. The extinction magnitude is calculated for each extinction curve, and each curve is used to correct for extinction at each line’s wavelength. This process yields a range of corrected line ratios, with deviations on the order of 10⁻³ due to differences among the extinction curves. The reported standard deviation for the electron density accounts for both the variation among corrected line ratios for each extinction curve and the variation in electron densities matched to the model at each temperature (T = 5 × 10³ − 2 × 10⁴ K). The final row shows the weighted average electron density and its weighted standard deviation. The results reveal a consistent trend of decreasing electron density with increasing distance from the jet.

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