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For cubic system, expected lines of a diffraction pattern can be generated from the following realtions:
(i) The relation between miller indices of a particular peak and the inter planner spacing (d) can be written as:
(ii) Bragg’s Law
For indexing the powder diffraction patterns above two equations are used, i.e.,
In above equation:
(i) is always constant for a given crystal.
(ii) will always be an integer regardless of the sign of each of the h, k, l values.
Each of the four common cubic lattice types has characteristic sequence of Xray diffraction lines described by their successive " s " values:
(i) Simple cubic: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13,..................
(ii) Body centered cubic: 2, 4, 6, 8, 10 ,12 ,14, 16..............
(iii) Face centered cubic: 3, 4, 8, 11, 12, 16............
(iv) Diamond cubic: 3, 8, 11, 16............

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