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Engineering LibreTexts

2: Lattice Planes and Miller Indices

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Learning Objectives

On completion of this TLP you should:

  • Understand the concept of a lattice plane;
  • Be able to determine the Miller indices of a plane from its intercepts with the edges of the unit cell;
  • Be able to visualise and draw a plane when given its Miller indices;
  • Be aware of how knowledge of lattice planes and their Miller indices can help to understand other concepts in materials science.

Before you start

You should understand the concepts of a Lattice , Unit cell , Crystal axes , Crystal system and the variations, Primitive , FCC , BCC which make up the Bravais lattice .

You might also like to look at the TLP on Atomic Scale Structure of Materials.

You should understand the concepts of vectors and planes in mathematics.


This page titled 2: Lattice Planes and Miller Indices is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by Dissemination of IT for the Promotion of Materials Science (DoITPoMS) via source content that was edited to the style and standards of the LibreTexts platform.

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