1.

How many lattice points are there in one unit cell of each of the following lattices ? (i) face centred cubic ,(ii) face centred tetragonal ,(iii) body centred cubic.

Answer»

Solution :Lattice points in face centred cubic or face centred TETRAGONAL =8 (at corners) + 6 ( at face centres ) =14. However , PARTICLES PER unit cell =`8xx1/8+6xx1/2=4`
Lattice points in body centred cube =8 (at corners ) + 1 ( at body centre) =9
However, particles per unit cell =`8xx1/8+1=2`


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