Question

The simplest formula of a solid having $CCP$ arrangement for ${}^{\prime }{A}^{\prime }$ atoms in which alternate face centres are occupied by ${}^{\prime }{B}^{\prime }$ B atoms and alternate edge centres are occupied by ${}^{\prime }{C}^{\prime }$ atoms, is:

• A. ABC
• B. $A_8{B}_3{C}_3$
• C. $A_{2}BC$
• D. $A_4{B}_{2}C$

Answer 1

Answer: (B)

Alternate face centres $=2$

Alternate face centres = 2

Alternate edge centres $=4$ $ABC=A_4{B}_{\frac{3}{2}}{C}_{\frac{3}{2}}$

$4\frac{1}{2}\times \frac{1}{2}\times 6\frac{1}{4}\times 12\times \frac{1}{2}{A}_8{B}_3{C}_3$