A metal such with a face-centered cubic lattice will have __________ atom(s) per unit cell.
A)1
B)2
C)3
D)4
E)10

Question

Quizplus · Accepted Answer

A face-centered cubic (FCC) lattice has atoms at each of the corners and at the center of each face. The number of atoms in a unit cell can be calculated by adding up the fractions of each atom within the cell. For an FCC lattice, there are 8 corners (each cut into eight pieces shared with adjacent cells), each contributing 1/8th of an atom, plus 6 face-centered atoms, each contributing 1/2 an atom. Adding these up, we get (8 x 1/8) + (6 x 1/2) = 1 + 3 = 4 atoms per unit cell.

A Metal Such with a Face-Centered Cubic Lattice Will Have