Question

A compound $M_p{X}_q$ has cubic close packing $\left(ccp\right)$ arrangement of X. Its unit cell structure is shown above. The empirical formula of the compound is:

• A. $MX$
• B. $M{X}_2$
• C. $M_{2}X$
• D. $M_5{X}_{14}$

Answer 1

Answer: (B)

$M{X}_2$

Number of atoms of M $=1+4\times \frac{1}{4}=2$

Number of atoms of X $=\frac{1}{8}\times 8+6\times \frac{1}{2}=4$

Therefore, the empirical formula is $M{X}_2$