Free Access
Erratum
This article is an erratum for:
[https://doi.org/10.1051/0004-6361/202142575]


Issue
A&A
Volume 660, April 2022
Article Number C2
Number of page(s) 1
Section Interstellar and circumstellar matter
DOI https://doi.org/10.1051/0004-6361/202142575e
Published online 13 April 2022

Two typos were present in Eqs. (9) and (22) of the original published article. In Eq. (9), the denominator of the first fraction should read 8πkBν2. The correct equation is:

ϵ d v = h A ul c 3 8 π k B ν 2 × N [ C II ] × g u e T 0 T ex g l + g u e T 0 T ex = 2.3 × 10 28 J sr × N [ C II ] × E ( T ex ) , $$ \begin{aligned} \begin{aligned} \int \epsilon \mathrm{d}v&= \frac{hA_{ul}c^{3}}{8\pi k_{\rm B}\nu ^2} \times N_{\rm [C\,II]} \times \frac{g_u\mathrm{e^{\frac{-{ T}_0}{{ T}_{\rm ex}}}}}{g_l + g_u\mathrm{e^{\frac{-{ T}_0}{{ T}_{\rm ex}}}}}\\&=2.3 \times 10^{-28}\,{\frac{\mathrm{J}}{\mathrm{sr}}} \times N_{\rm [C\,II]} \times E(T_{\rm ex}), \end{aligned} \end{aligned} $$(9)

In Eq. (22), the denominator of the first fraction should read “3h”. The correct equation is:

τ CO , i ( v ) = ϕ i ( v ) N CO , i 8 π 3 μ 2 J u 3 h ( k B T ex , i hB + 1 3 ) 1 e T u T ex , i ( e T 0 T ex , i 1 ) , $$ \begin{aligned} \tau _{\mathrm{CO} , i}(v) = \phi _i(v)N_{\mathrm{CO} , i}\frac{ 8\pi ^{3}\mu ^2J_u }{3h} \left( \frac{k_{\mathrm{B} }{ T}_{\mathrm{ex} ,i} }{hB}+\frac{1}{3} \right)^{-1}e^{\frac{-T_u }{{ T}_{\mathrm{ex} ,i} }}\left( e^{\frac{{ T}_0}{{ T}_{\mathrm{ex} ,i} }}-1 \right), \end{aligned} $$(22)


© ESO 2022

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