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Table 3

List of chemical reactions involving phosphorus-bearing species, computed using the Nautilus code, and analysed across the different astrophysical models explored in this study (see Sect. 4).

Reaction Rate coefficients Remark Method
α(cm3 s−1) β γ(K)
PN + C ⟶ CN + P 1.29 × 10−10 0.025 −10.0 This work MESS(a)
P + CN ⟶ PN + C 2.15 × 10−10 0.118 17000 This work MESS(a)
N + CP ⟶ P + CN 1.74 × 10−10 0.172 0 This work, new MESS(a)
N + CP ⟶ C + PN 9.86 × 10−12 0.634 0 This work, new MESS(a)
C + PN ⟶ N + CP 1.09 × 10−11 1.18 9669 This work MESS(a)
P + CN ⟶ N + CP 6.01 × 10−10 0.014 27394 This work MESS(a)
N + PN ⟶ P + N2 1.09 × 10−11 1.02 7919 Gomes et al. (2023b) MESS(b)
N + PH ⟶ P + NH 5.62 × 10−13 0.63 0 Gomes et al. (2023a) VRC-TST(c)
P + NH ⟶ N + PH 1.93 × 10−13 1.63 3298 Gomes et al. (2023a) VRC-TST(c)
P + NH ⟶ PN + H 9.3 × 10−11 0.18 0.24 Gomes et al. (2023a) VRC-TST(c)
PN + H ⟶ P + NH 6.52 × 10−13 1.91 23525 Gomes et al. (2023a) VRC-TST(c)
PH + N ⟶ PN + H 8.8 × 10−11 0.18 1.01 Gomes et al. (2023a) VRC-TST(c)
PN + H ⟶ PH + N 2.63 × 10−13 2.25 25333 Gomes et al. (2023a) VRC-TST(c)
P + O2 ⟶ PO + O 1.44 × 10−12 1.66 704 Gomes et al. (2022) MESS(b)
PO + O ⟶ P + O2 1.8 × 10−13 0.79 10054 Douglas et al. (2022) Detailed balance(d)
P + OH ⟶ PO + H 2.28 × 10−10 0.16 0.37 García de la Concepción et al. (2021) MESS(b)
PO + H ⟶ P + OH 4.2 × 10−13 0.82 16791 Douglas et al. (2022) Detailed balance(d)
PH + OH ⟶ P + H2O 1.0 × 10−10 0.167 0 Douglas et al. (2022) Collision capture rate(d)
P + H2O ⟶ PH + OH 9.0 × 10−10 0 24319 Douglas et al. (2022) Detailed balance(d)
PH + O ⟶ PO + H 2.0 × 10−10 0 0 Douglas et al. (2022) Collision capture rate(d)
PO + H ⟶ PH + O 2.8 × 10−10 0.26 34462 Douglas et al. (2022) Detailed balance(d)
PO + NH ⟶ PN + OH 1.0 × 10−10 0 0 Douglas et al. (2022) Collision capture rate(d)
PN + OH ⟶ PO + NH 2.6 × 10−10 0 13002 Douglas et al. (2022) Detailed balance(d)
PO + Si ⟶ P + SiO 2.1 × 10−10 0.10 0 Douglas et al. (2022) MESMER(e)
P + H2 ⟶ PH + H 6.7 × 10−10 0 17349 Douglas et al. (2022) Transition state theory(d)
PH + H ⟶ P + H2 6.7 × 10−11 0 346 Douglas et al. (2022) Detailed balance(d)
P + NO ⟶ PN + O 7.1 × 10−11 0 6427 Douglas et al. (2022) MESMER(e)
PN + O ⟶ P + NO 1.0 × 10−10 0 3158 Douglas et al. (2022) MESMER(e)
PN + O ⟶ PO + N 2.7 × 10−10 0 744 Douglas et al. (2022) MESMER(e)
PO + N ⟶ P + NO 2.55 × 10−12 0 0 Millar et al. (1987) Estimation(f)
PO + N ⟶ PN + O 1.53 × 10−11 −0.31 0 This work(g) MESS(a)

Notes. (a)Calculated using the master equation system solver package as described in Sect. 2.2. (b)Calculated using the master equation system solver package as described in the associated reference. (c)Variable reaction coordinate transition state theory. (d)See the associated reference for further details. (e)Calculated using the Master Equation Solver for Multi-Energy well Reactions program. See the associated reference for further details. (f)See the supplementary information file for discussion. (g)Obtained in the present work by employing the master equation system solver package (as described in Sect. 2.2) based on accurate electronic structure calculations carried out in our previous work (Souza et al. 2021) on the PNO system. See the supplementary information file for a further discussion.

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