1. CRYSTAL STRUCTURE ANALYSIS
CHARACTERISATION OF MATERIALS
CRYSTAL STRUCTURE ANALYSIS
SUBMITTED BY :
NASEER AHMAD SHAH

2. MILLER INDICES
A notation conventionally used to describe lattice points(sites) , directions and planes is known as Miller Indices.
The indices of a crystal plane (hkl) are defined to be a set of integers with no common factor , inversely proportional to the intercepts of the crystal plane along the crystal axes:
h:k:l = 1/x : 1/y : 1/z
It describes the orientation of a plane in the 3-D lattice with respect to the axes.

3. MILLER INDICES : PROCEDURE
Determine the x , y and z intercepts of the plane.
Divide these intercepts by appropriate unit translations .
Find the reciprocal.
Clean fraction by multiplying an integer to determine smallest set of whole numbers.
Fraction ???
Place a bar over the negative indices.
Enclose the parenthesis (hkl) where h,k,l are the miller indices.

6. MILLER BRAVAIS INDICES
For a hexagonal system, four index notation is required : three coplanar axes a1 ,a2 ,a3 in the basal plane and an axes c perpendicular to the hexagonal prism.
This is known as Miller Bravais system of notation and it is denoted by (hkil).
Where , i = -(h+k)