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