Question

Express the relationship between atomic radius and the edge length of the face centred cubic unit cell

Answer 1

Relationship between atomic radius(r) and the edge length of a face centred cubic unit cell is

a=2*1.414 r

Answer 2

The relationship between “the atomic radius and the edge length of the face centered cubic unit cell” is given below:

$r=\frac{a}{2 \sqrt{2}}$

Where,

r = atomic radius

a = edge length of the face centered cubic unit cell

Explanation:

Every face in the lattice has an atom at its center an all the vertices have one atom each. Hence this lattice is known as face centered lattice. The half of every atom in each face is being shared by the adjacent atom while the atoms effective part at the vertices is 1/(4th)