CRYSTAL STRUCTURE ANALYSIS

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Presentation transcript:

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

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.

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.

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)