An alloy of gold and cadmium crystallises with a cubic structure in which gold atoms occupy the corners and cadmium atoms fit into the face centres. Assign formula for this alloy

CBSE Class 12 CBSE Class 12 Chemistry
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As gold atoms occupy all the corners of a unit cell, therefore, the number ofgold atoms per unit cell
= 8 x 1/8 = 1 atom

As cadmium atoms fit into the face centres, therefore, the
number of cadmium atoms per unit cell =6x1/2=3 atoms

.’. Ratio of gold (Au) and cadmium (Cd)= 1 : 3
Hence, formula for the given alloy is AuCd3.