Miller Indices

Miller Indices :

1. Find the intercepts made by plane on the Crystallographic axes
2. Express intercepts in terms of axial units of unit cell dimensions
3. Take the reciprocals of the intercepts
4. Reduce them to smallest integer by multiplying with their LCM and write them in parantheses.

Important features of Miller Indices:

1. For any plane parallel to any axis, the intercept is made at infinity and corresponding Miller index is zero.
2. All parallel equidistant planes have same Miller indices.
3. If a plane passes through origin then the Miller indices are found by taking a parallel plane having non zero intercepts.
4. If a plane cuts the negative axis then a bar is put on the Miller index.
5. If a normal is drawn to a plane, then it represents the direction of the plane [hkl]