Question

If three elements x, y and z crystalllized in cubic solid lattice with x atoms at corners, y atoms at cube centre and z–atoms at the edges, then the formula of the compound is:

Answer 1

X=8*1/8=1 as contribution of corner atom is 1/8 and 8 corners are there.
Y=1 as there is only one center in cube.
Z=12*1/4=3 as contribution of edge atom is 1/4 and total 12 edge are there.
So formula is XYZ3....

Answer 2

Answer:

A which are the atoms taking on corner = 8 corners × 1/8th of atom.

= 8 x 1/8 = 1.

B are the atoms which are occupied at cubic center= 1 center x 1 full atom = 1.

C which are the  atoms  occupying position at face center = 6 faces x 1/2th of atoms in face center  = 6 x 1/2 = 3.

Now from the above cases we take the ratios A : B : C = 1 : 1 : 3.

A3 : B3: C2 = 6:6:6(multiplying both sides by 3).

A3 B3 C2 is the formula of compound .