A crystal lattice plane (326) makes an intercept of 1.5 A on x-axis in a crystal

Question

A crystal lattice plane (326) makes an intercept of 1.5 A on x-axis  in a crystal having lattice constants 1.5 A ,2A and 2Aon x y and z axis respectively Find y and z intercepts

Explanation / Answer

The given crystal lattice plane has miller indices (326): Let the intercepts with the x, y and z axes be m, n and prespectively m = k/3; n=k/2; p=k/6;-----> miller indices andintercepts are inversely related where k is some constant Given that the intecept along x axis is 1.5A and the latticeconstant along x axis is also 1.5A. Therefore intercept along xaxis IN TERMS OF LATTICE CONSTANT ALONG X AXIS is1 m = 1; k = 3*m = 3 n = 3/2 lattice constants along y axis      and p = 3/6=1/2 latticeconstants along y axis; n = [3/2]*2A = 3A and p = [1/2]*2 A = 1A The intercepts along y and z axes are 3A and 1Arespectively

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