Lithographite: A 5-,6-Connected Orthorhombic Structural Pattern in Space Group Pmmm

Abstract

This paper describes the crystal structure of a novel, hypothetical 5-,6-connected orthorhombic structural pattern with the binary stoichiometry AB. The novel pattern lies in space group Pmmm, number 47. It possesses the Wells point symbol (46)(46) and has the Wellsean Schläfli index (4, 5). The pattern represents a fusing together of what are termed lithographene sheets. Such sheets can be envisioned as a projection of the lithographite lattice in (001), they represent a tiling of the Euclidean plane with hexagons and rhombi, where the rhombi have acute and obtuse angles of 60° and 120°, respectively. The lithographene sheet, which occurs in plane group p2mm, is compared to the ordinary graphene sheet in plane group p6mm.

Keywords: Physical Chemistry > Solid State Chemistry and Materials, physchem/0201011