Molecular Collision Cross Section Due to Quadrupole-Induced Dipole and Dipole-Induced Quadrupole Interactions

Abstract

A theory for molecular collision cross section due to quadrupole-induced dipole and dipole-induced quadrupole interactions has been developed following the Anderson—Tsao—Curnutte approach. The OCS–He, OCS–Ar, and HCl–Ar collisions are discussed. For HCl–Ar collisions, μ1q1α2 interactions have been found to be important, whereas in OCS–He and OCS–Ar collisions these are negligibly small.

Determination of Molecular Quadrupole Moment of Boron Trichloride by Microwave Spectroscopy

“…The Hamiltonian of the inductive interactions between two molecules, when the quadrupole moment Q 1 interacts with the induced dipole 2 1 and the dipole moment 1with the induced quadrupole 2 Q 1 , bears the form in [15]…”

Cross section of the transverse relaxation of NH3 colliding with spherical perturbers

“…With an approximation of ⌬E/E K ϳ0 in inversion transitions, S(b) for the collisional interaction in Eq. ͑5͒ is calculated for the probed inversion doublet with rotational quantum number J and its axial component K as follows 15 S͑b…”

Rotational Relaxation of CH379Br Molecule Caused by Noble Gases and Spherical Perturbers

“…The function, Sb, where b is the distance between colliding molecules, depends on the interaction Hamiltonian. For the inductive interactions discussed here, namely dipole-induced quadrupole and quadrupole-induced dipole, the function S ind2 b is of the form [22]:…”

“…matrix elements of the dipolar transitions J i and J f of absorber; QJ i J H i , QJ f J H f : matrix elements of quadrupole transitions J i and J f of absorber; OJ i J H i , OJ f J H f : matrix elements of octupole transitions J i and J f of absorber; W J i J f J i J f ; 12, W J i J f J i J f ; 13: the Racah coe¤cient; m 1 : dipole moment of the absorber; q 1 : quadrupole moment of the absorber; a 2 : average polarizability of the perturber; v: the mean relative velocity of the colliding molecules: The functions g 3 and g 4 are of the form [22]:…”

“…e À2k 160k 7 1040k 6 3744k 5 9456k 4 17904k 3 25272k 2 24480k 12240; 11 for details see [22]. Numerical evaluation of Sb 1, Eq.…”