Abstract

For pt III see abstr. A70819 of 1972. The theory of scattering of low energy electrons by closed shell polyatomic molecules is developed. Coupled inhomogeneous differential equations are obtained describing the motion of the scattered electron in the fixed nuclei approximation. The symmetry group of the molecule is used to reduce these equations to their simplest form and expressions for the total, differential and momentum transfer cross sections are obtained. A transformation to the laboratory frame is then derived and this is used to obtain expressions for the rotational excitation cross sections in terms of the S matrix calculated in the fixed molecular frame. Special emphasis is given in this paper to the C2v and Oh symmetry groups and the equations describing electron scattering by water molecules are discussed in some detail.

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