Question

how is a unit plane in a crystal decided​

Answer 1

Answer:

Miller indices

Explanation:

Miller indices are the styles which are used to designate the planes and directions in the unit cells and crystals.

Miller indices (hkl) are usually expressed as a reciprocal of intercepts p, q and r which is made by the plane on the three rectangular axes, i.e., x, y and z respectively. These are basically the unit distances from the origin along the three axes. Thus,

h = 1/p, k = 1/q and l = 1/r

where, p = intercept of the plane on x-axis

q = intercept of the plane on y-axis

r = intercept of the plane on z-axis

Reciprocal of these three intercepts are then converted into whole numbers by multiplying each reciprocal by a number obtained after taking LCM of the denominator which gives the Miller indices of the required plane. Therefore, Miller indices are expressed by three smallest integers.

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