Lattice Planes and Miller Indices
AimsBefore you startIntroductionHow to index a lattice planeParallel lattice planesHow to draw a lattice planeBracket ConventionsVectors and PlanesExamples of lattice planesDraw your own lattice planesPractical UsesWorked examplesSummaryQuestionsGoing furtherTLP creditsTLP contentsShow all contentViewing and downloading resourcesAbout the TLPsTerms of useFeedbackCredits Print this page
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Introduction
Miller Indices are a method of describing the orientation of a plane or set of planes within a lattice in relation to the unit cell. They were developed by William Hallowes Miller.
These indices are useful in understanding many phenomena in materials science, such as explaining the shapes of single crystals, the form of some materials' microstructure, the interpretation of X-ray diffraction patterns, and the movement of a dislocation, which may determine the mechanical properties of the material.