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Q. The simplest formula of a solid having $CCP$ arrangement for $ 'A'$ atoms in which alternate face centres are occupied by $'B'$ B atoms and alternate edge centres are occupied by $'C'$ atoms, is:

The Solid State

Solution:

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Alternate face centres $=2$

Alternate face centres = 2

Alternate edge centres $=4$ $A B C = A _{4} B _{\frac{3}{2}} C _{\frac{3}{2}}$

$4\frac{1}{2} \times \frac{1}{2} \times 6 \frac{1}{4} \times 12 \times \frac{1}{2} A _{8} B _{3} C _{3}$