Question

The simplest formula of a compound whose cubic unit cell contains A atom on all corners, B atom on alternate face and C atom on one third of edge center,is?

Answer 1

A = 1
B = 1
C = 1
Thus simplest formula is ABC.
Hope this helps... :)

Answer 2

Answer:

The simplest formula of compound is ABC.

Explanation:

1) Number of atoms of A element in a cubic unit cell =

$1\times \frac{1}{8}=8$

Each corner is shared by 8 cubic unit cells.

2) Number of atoms of B element in a cubic unit cell =

There are total 6 faces in ac cubic cell. But the atom B is present on the alternative faces which means two faces of cubic unit cell :

$2\times \frac{1}{2}=1$

Each face is shared by 2 cubic unit cells.

3) Number of atoms of C  element in a cubic unit cell =

C atom present at one third  of the edges of the cube.

$\frac{1}{4}\times 12\frac{1}{3}=1$

Each edge is shared by 4 cubic unit cells.

The simplest formula of compound is ABC.