Question

If 'a' stands for the edge length of the cubic systems : simple cubic, body centred cubic and face centred cubic, then the ratio of radii of the spheres in these systems will be respectively

Answer 1

Solution :

For Simple cubic :

r′r=a2

Here a =edge length and

r′r= interatomic distance

For body centered

r′+r=a22–√

Therefore , ratio of radii of the three will be

a2:a3–√4:a22–√

Answer 2

For Simple cubic :

r′r=a2r′r=a2

Here a =edge length and

r′r=r′r= interatomic distance

For body centered

r′+r=a22–√r′+r=a22

Therefore , ratio of radii of the three will be

a2:a3–√4:a22–√