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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.

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