Question

a compound consists of a and b crystallize in cubic closed pack structure.Atom a are located at all the corners and atom b are at 1/4th of octahedral void.the simplest formula is

Answer 1

An atom at the corner of the cube contributes  

8

1

​  

 to the unit cell. Hence, number of atoms of A in the unit cell =8×  

8

1

​  

=1.

An atom at the face of the cube contributes  

2

1

​  

 to the unit cell.

Hence, number of atoms of B in the unit cell =6×  

2

1

​  

=3.

Thus, the formula is AB  

3

​  

.​