Crystal planes : Crystal planes are defined as imaginary planes inside a crystal lattice passing through the atoms along x, y and Z directions. These planes are represented as XY, YZ, ZX and XYZ planes. We cannot find a single plane in a crystal lattice but set of parallel planes are observed. Miller indices: Miller indices are defined as the reciprocals of intercepts of crystal plane. They are used to represent the direction of crystal planes. Miller indices are denoted as the coordinates ( h, k, l ) . h : k : l = 1/p : 1/q : 1/r Miller indices represent the structure of unit cell. Procedure to find Miller indices: 1. Identify the plane intercepts on the x, y and z-axes. 2. Represent intercepts in fractional coordinates as ( p, q, r) 3. Take the reciprocals of the fractional intercepts h : k : l = 1/p : 1/q : 1/r 4. convert the small fractions into integers by multiplying with their least common factor LCM. Significance ...
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