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Lattice Positions

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A point in the crystal lattice is denoted by its coordinates along the x, y, and z axes expressed as a ratio of the unit cell lengths a, b, and c in these directions (Figure 3.25). The origin of the unit cell is 0,0,0. Then, a point at the far corner of the unit cell, opposite the origin, with coordinates a,b,c is written 1,1,1 because each coordinate divided by the respective unit cell length is equal to 1. Similarly, 2,1/2,1 denotes a point in the lattice with coordinates 2a, b/2, and c in the x, y, and z directions, respectively.


Figure 3.25 Diagram illustrating the specification of lattice planes in a crystal.

Materials for Biomedical Engineering

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