Intercepts of a plane in a crystal are given | vedclass

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(D) The Miller indices $(h, k, l)$ are the reciprocals of the fractional intercepts of the plane along the crystallographic axes $(a, b, c)$.Given int

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$(3$ $6$ $1)$

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(D) The Miller indices $(h, k, l)$ are the reciprocals of the fractional intercepts of the plane along the crystallographic axes $(a, b, c)$.Given intercepts are $1a$, $1/2b$, and $3c$.The fractional intercepts are $1, 1/2, 3$.Taking the reciprocals: $h = 1/1 = 1$, $k = 1/(1/2) = 2$, $l = 1/3$.To express these as the smallest set of integers, multiply by the least common multiple (which is $3$):$h = 1 	imes 3 = 3$, $k = 2 	imes 3 = 6$, $l = (1/3) 	imes 3 = 1$.Thus, the Miller indices are $(3$ $6$ $1)$.

Intercepts of a plane in a crystal are given by $a$, $b/2$, $3c$ in a simple cubic unit cell. The Miller indices are:

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