Lattice Row Distance and Its Application in Row-Indexing

Abstract

In this paper, we propose six general formulae to describe those relationships between the lattice row distance, the lattice parameters and the Miller indices h, k and l for all crystal systems along with any direction. This finally establishes the foundation of the row-indexing, a new method for deriving Miller indices from the lattice row distance. Triclinic talc is used as an example for row-indexing. This new indexing method is especially useful for beam-sensitive materials.