6. Miller indices and lattice planes Table of contents 6.1 Definitions 6.2 Examples 6.1 Definitions Questions & answers π What is the relation between the reciprocal lattice vectors and the distances between lattice planes? π How can I understand crystallographic planes? π How can I understand crystallographic planes? (bis) π What are Miller's indices? What is their significance? π What is the law of rational indices in crystallography? π Why do we need the reciprocal of face intercepts during the determination of miller indices? π What is the importance of a crystal plane? π Why do we only choose Miller indices to define a set of planes? π What is a reciprocal lattice, and why is it needed? π What are the conditions which must be satisfied for a set of crystal planes to be crystallographically equivalent? 6.2 Examples Questions & answers π What is the interplanner distance for a simple cubic crystal? π How do I calculate the distance between the adjacent parallel planes of the type (100) (110) (111) in a FCC lattice of lattice constant 'a'? π The latice constant for a unit cell of aluminium is 4.242 Γ . What is the spacing of 110 pane? π Kindly tell me the Miller indices of image no# 8 and 12 of x, y and z axis respectively? π In Miller indices more than one plane have similar value? π How do I find Miller indices in tetragonal crystal? π How can I obtain the Miller indices of a plane which has an intercept at 2, 1, and 2? π What are the Miller indices for a simple cubic, body centered cubic, and face centered cubic structure? And how do you determine one? π What are the Miller indices of a plane containing the directions [100] [011] and [111]? π How do you quickly draw (T11) (1T2) and (2T0) planes in cube and orthorhombic lattice? π Can you name me one example of a family of directions or planes for a hexagonal crystal system? π How to find the Miller indices of a pentagonal dodecahedron?
