Question

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
A. ABC
B. `ABC_(2)`
C. `A_(2)B_(3)`
D. `A_(2)B_(5)`

Answer 1

Correct Answer - C
Number of atoms of A per unit cell
`8xx(1)/(8)` (at the corners)=1
Number of atoms of B per unit cell
=1 (at the centre )=1
Number of atoms of C per unit cell
`=12xx(1)/(4)` (at the edge centre)=3.
So, formula of compound `ABC_(3)`.