Problem 83b

Given information

Consider the face-centered cubic structure shown here.

From part a:

For this face centred cubic unit cell, length of the diagonal on the face of the cube,.

where is the radius of the atom.

Use the answer to part a and the Pythagorean theorem to derive the expression for the edge length ( ) in terms of .

Step-by-step explanation

For this face centred cubic unit cell length of the diagonal on the face of the cube is given as,  .

where is the radius of the atom.