Stachurski, ZbigniewWelberry, Thomas2015-12-101073-5623http://hdl.handle.net/1885/61015The geometrical concept of an ideal solid and a method for its construction are presented as novel contributions to the understanding of atomic arrangements in amorphous solids. This ideal amorphous structure serves as a base-line model for atomic arrangements and as a universal reference from which any changes in atomic arrangement can be measured. The model is intended to represent the ideal structure of amorphous solids and not the way a real glass is formed. This provides for amorphous materials the same kind of base-line reference as an ideal crystal does for real crystalline materials, or tiling patterns for quasi-crystalline materials. Characteristic properties are described, including Debye X-ray scattering to show how relevant information can be derived about the presence of vacancies and compositional changes.Keywords: Amorphous solids; Amorphous structures; Atomic arrangement; Characteristic properties; Compositional changes; Ideal crystals; Line models; Atoms; Crystal atomic structure; Crystalline materials; Materials properties; Amorphous materialsGeometry and Topology of Structure in Amorphous Solids201110.1007/s11661-010-0270-y2016-02-24