Question

In a face centred lattice of x and y, x atoms are present at the corners while Y atoms are at face centres then the formula of the compound is

Answer 1

Answer:

The formula of the compound is $XY_3$.

Explanation:

There are 8 corner in one cubic lattice .And atom present at corner are being shared by 7 corners of other similar cubic lattices.

So, the number of atoms of X present in the FCC lattice :

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

There are 6 faces in 1 cubic lattice. and atom present in the centers pf the face are being shared by other face of another cubic lattice.

So, the number of Y atoms =

$\frac{1}{2}\times 6=3$

The formula of the compound is $XY_3$.