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

Question

Intercepts of a plane in crystal is given by a, b / 2,3 c in a simple cubic unit cell. The miller indices are (A) (1, 3, 2) (B) (2, 6, 1) (C) (1, 2, 3) (D) (3, 6, 1)

Tardigrade Admin · Accepted Answer

Miller indices (h k l) of crystal are the reciprocal of intercepts along crystallographic axes (a, b, c). Here, h=(1/1), k=(1/(1)2)=2, l=(1/3) So, h k l=1: 2: (1/3)=3: 6: 1 or (361) ⇒ (h k l)=(361)

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

(1, 3, 2)

(2, 6, 1)

(1, 2, 3)

(3, 6, 1)

Miller indices $(hk l)$ 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, $hk l = 1 : 2 : \frac{1}{3} = 3 : 6 : 1$
or $(361) \Rightarrow (hk l) = (361)$

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