A Theoretical Model of an Ideal Amorphous Solid

The geometrical concept of an ideal amorphous solid, and a method for its construction, are described 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. A model of a perfectly random structure is based on the irregular triangle topology in the coordination shell. The model provides high-resolution geometry of the packing arrangement and useful information for x-ray scattering and EXAFS fine structure, as well as a starting point for a theory of amorphousness.