Question

A crystal plane intercepts the three crystallographic axes of the following multiples of unit distances, 3/2, 2 and 1. What are the miller indices of the plane?​

Answer 1

Answer:

To find Miller indices first you need the intercepts of that plane. Then do the reciprocal of the intercepts and simplify it so that all are natural numbers.

Here intercepts are 3/2 : 2 : 1. Their reciprocal is 2/3 : 1/2 : 1. LCM of the denominators is 6 so multiply it by 6. Then you will get the Miller indices (4 3 6).

Answer 2

Answer:

The miller indices of the given crystal plane are (4, 3, 6).

Explanation:

Miller indices represent the direction of the plane. Miller indices of a plane are always lowest integers. It can never be fractional or infinite.

There are some steps to follow to find the miller indices from intercepts of a plane:

• Step-I : Write the intercepts of the plane in the terms of unit distance:

       Intercepts:       $\frac{3}{2}$      $2$     $1$      

• Step-II: Take the reciprocal of intercepts:

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

• Step-III: Remove the fractions: multiple by 6

      We get,             $4$     $3$    $6$

Therefore, the miller indices of the given plane are (4, 3, 6).