Dependence of electron-impact dissociative excitation cross sections on the initial vibrational quantum number in $H_{2}$ and $D_{2}$ molecules:X ${}^{1}Σ_{g}^{+}$ →B ${}^{1}Σ_{u}^{+}$ andX ${}^{1}Σ_{g}^{+}$ →C ${}^{1}Π_{u}$ transitions

1 December 1994

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 50 (6) , 4778-4785
https://doi.org/10.1103/physreva.50.4778

Abstract

Electron-impact dissociative cross sections for

H_{2}

and

D_{2}

vibrationally excited molecules have been calculated in the frame of the impact-parameter method for dissociative processes involving direct dissociation

M_{2}

{}^{1}Σ_{g}^{+}

v_{i}

)+e->

M_{2}^{*}

{}^{1}Σ_{u}^{+}

{}^{1}Π_{u}

)+e→2M+e and radiative cascade

M_{2}

{}^{1}Σ_{g}^{+}

v_{i}

) +e→

M_{2}^{*}

{}^{1}Σ_{u}^{+}

C^{1}

Π_{u}

)+e→

M_{2}

{}^{1}Σ_{g}^{+}

)+e+hν→2M+e+hν (

M_{2}

represents a hydrogen or deuterium molecule). The results show that direct dissociation cross sections strongly depend on the initial vibrational state of the molecule, while an opposite behavior is found in the case of dissociation by radiative cascade. Moreover, for this last process, the fraction of molecules that undergoes dissociation has been evaluated with respect to the total cascade process, yielding in general quite small values in both the

H_{2}

and

D_{2}

cases.

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Dependence of electron-impact dissociative excitation cross sections on the initial vibrational quantum number inH2andD2molecules:XΣg+1→BΣu+1andXΣg+1→CΠu1transitions

Abstract

Dependence of electron-impact dissociative excitation cross sections on the initial vibrational quantum number in $H_{2}$ and $D_{2}$ molecules:X ${}^{1}Σ_{g}^{+}$ →B ${}^{1}Σ_{u}^{+}$ andX ${}^{1}Σ_{g}^{+}$ →C ${}^{1}Π_{u}$ transitions