Three element `A,B,C` crystallize into a cubic solid lattice.Atoms `A` occupy the corners `B` atoms the cube centres and atom `C` the edge .The formula of the compound is

Options

A. ABC
B. `ABC_2`
C. `ABC_3`
D. `ABC_4`

Answer

C

Explanation

no. of .A. atoms per unit cell `1/8 xx 8 = 1`
no. of .B. atoms per unit cell = 1
no. of .C. atoms per unit cell ` = 1/4 xx 12 = 3`
so formula is `ABC_3`