Question

A crystal plane makes intercepts $2a,2b$ and $3c$ on the crystallographic axes where $a,b,c$ represent the intercepts of the unit plane. The Millers indices of the plane will be?

• A. $223$
• B. $332$
• C. $\frac{1}{3}\frac{1}{3}\frac{1}{2}$
• D. $\frac{1}{2}\frac{1}{2}\frac{1}{3}$

Answer 1

The correct option is B $332$

Rules for Miller Indices:

1. Determine the intercepts of the face along the crystallographic axes, in terms of unit cell dimensions.

2. Take the reciprocals of the coefficients of the intercept

3. Clear fractions

4. Reduce to the lowest integer

Taking reciprocal of the coefficient-

We get- $\frac{1}{2},\frac{1}{2},\frac{1}{3}$

Reduce to lowest integer-

Multiply with 6 $\Rightarrow \frac{1}{2}\times 6,\frac{1}{2}\times 6,\frac{1}{3}\times 6\Rightarrow 3,3,2$

Hence, the miller indices for the given plane is 332. The correct option is B.