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Question: Answered & Verified by Expert
Intercepts of a plane in crystal is given by $a$, $b / 2,3 c$ in a simple cubic unit cell. The miller indices are
ChemistrySolid StateTS EAMCETTS EAMCET 2020 (14 Sep Shift 2)
Options:
  • A (1 3 2)
  • B (2 6 1)
  • C (1 2 3)
  • D (3 6 1)
Solution:
1274 Upvotes Verified Answer
The correct answer is: (3 6 1)
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 $(361) \Rightarrow(h k l)=(361)$

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