Question

A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

Answer 1

Diameter of metal atom(d) is:-

d = a × sq. root 2 / 2

Where, a = edge length

a = 408 pm

So, d = 408 × sq. root 2 / 2

d = 288.49 pm.

Answer 2

Answer:

r - radius of atom

4r = √2 a

2d = √2a

Now,

       d = a/√2

    = 408 / √2

    = 408 / 1.414

    = 288.54 pm