Work

Selection rules for polymers and quasi one-dimensional crystals. II. Kronecker products for the line groups isogonal to Dn

Year: 1984

Type: article

Abstract: For pt.I see ibid., vol.16, p.3937 (1983). The reduction coefficients for the Kronecker products of irreducible representations of line groups are needed to derive selection rules for various physical processes in polymers and quasi-one-dimensional solids, and in this paper they are tabulated explicitly for all the line groups isogonal to dihedral point groups D n =C n +UC n . The selection rules obtained imply that the quasi-momentum, the quasi-angular momentum, and the parity with respect to the dihedral axis U are all conserved quantities, except that the quasi-angular momentum is increased by ph(cross) in Umklapp processes, in the case of a polymer with an n p screw axis.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/17/4/016

Authors: M Damnjanovic, I Bozovic, N Bozovic

Institution: University of Belgrade

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Division of Materials Research

Award: Theoretical Research on the Electronic Properties of Solids (Materials Research)