Question

In an orthorhombic crystal, a lattice plane makes intercepts of 2a, 3b and 4c on the three axes. Write down the Miller indices for this plane.

Answer 1

Calculate the miller indices for intercepts by the relation as follows:

Here we have the intercepts 2,3 and 4 on axis X.Y and Z respectively.

Take the reciprocals of these as ½, 1/3 and ¼ respectively.

(1/2,1/3,1/4)

Make these least common denominator as follows:

Here least common denominator is 12.

(6/(2×6),4/(3×4),3/(4×3))=(6,4,3)