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The Structure of Solids
MILLER INDICES

· Miller indices provide a description of crystal Directions and crystal Planes in terms of a group of numbers < u v w > or {h k l} contained in brackets with a defined meaning.

· The diagram shows a part of a lattice with translation vectors (a1,a2,a3) that form the coordinate system for describing the directions and planes. This may not be an orthogonal system.
· A lattice translation vector is expressed in terms of integer numbers of its component primitive vectors: T = n1a1 + n2a2 + n3a3
· The Miller index of the vector [u v w] is chosen such that: u : v : w : : : n1 : n2 : n3
After : Guy and Hren,
Addison Wesley (1974)