What fraction of an atom is at each corner a face-centered cubic unit cell?
A)1/4
B)1/2
C)1/8
D)1/6

Question

Quizplus · Accepted Answer

In a face-centered cubic unit cell, there are 4 atoms at each corner of the unit cell. Each atom contributes 1/8 towards the total number of atoms in the unit cell. Therefore, the fraction of an atom at each corner is 1/4 x 1/8 = 1/32. There are a total of 8 corners in the unit cell, so the total fraction of an atom at the corners is 1/32 x 8 = 1/4.

What Fraction of an Atom Is at Each Corner a Face-Centered