The Solid State

Short Answer Type

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If three elements A, B and C crystallize in a cubic solid lattic with A atom at the corner, B atoms at cube centre and C atoms at edges then what would be the formula of the solid?

Atom A is shared by 8 corners 1
atoms of C is shared by 4 unit cells
Atom B is present at centre of the unit cell
Hence, effective number of atoms of A per unit cell = 8× 1/8 = 1
Effective number of atoms of C per unit cell = 12/4 = 3
Effective number of atoms of B per unit cell = 1 Hence, the formula of the compound is ABC3
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    Long Answer Type

    How many lattice points are there in one unit cell of each of the following lattice?
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