A compound is compound by cation C and anion A. The anions hexagonal close packed (hcp) lattice and the cations occupy 75% of octahedral voids. The formula of the compound is

Options

A. `C_(4)A_(3)`
B. `C_(2)A_(3)`
C. `C_(3)A_(2)`
D. `C_(3)A_(4)`

Answer

D

Explanation

Number of atom per unit cell in `hcp=6`
number of octahedral void in `hcp=6`
Number of anions per unit cell `=6`
cation occupy 75% of octahedral void `=6xx(75)/(100)=(9)/(2)`
`C:A`
`9//2:6`
`9:12`
`3:4`
Formula of compound `=C_(3)A_(4)`