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  4. Intercepts of a plane in crystal is given by a, b / 2,3 c in a simple cubic unit cell. The miller indices are

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

TS EAMCET 2020

Solution:

Miller indices $(h k l)$ of crystal are the reciprocal of intercepts along crystallographic axes $(a, b, c)$.
Here, $h=\frac{1}{1}, k=\frac{1}{\frac{1}{2}}=2, l=\frac{1}{3}$
So, $h k l=1: 2: \frac{1}{3}=3: 6: 1$
or $(361) \Rightarrow (h k l)=(361)$