Question

What is the Miller indices of a plane that makes an intercept of 2A⁰, 3A⁰ and 4A⁰ respectively with X, Y and Z axes of an orthorhombic crystal with a : b : c = 4 : 3 : 2

• A. (12 4)
• B. 4 2 1
• C. (2 1 1)
• D. (4 1 2)

Answer 1

Answer: (B)

4 2 1

Answer 2

Let the unit distance with X axis = 4 A⁰

\ the unit distance with Y axis = 3A⁰

\ the unit distance with Z axis = 2 A⁰

\ Miller indices is $\left( \frac{4}{2}\frac{3}{3}\frac{2}{4} \right)$ º $\left( 21\frac{1}{2} \right)$ º (4 2 1)