Condensed Matter - Bravais Lattice


The conventional unit cell of a body-centered cubic Bravais lattice is shown in the figure. The conventional cell has volume a3. What is the volume of the primitive unit cell?

A. a3/8
B. a3/4
C. a3/2
D. a3
E. 2a3
(GR0177 #52)
Solution:

The body-centered cubic Bravais lattice has 2 atoms:
1/8 part of atom at each of its 8 corners + 1 atom in the middle = 2 atoms

Thus, the volume of the primitive unit cell: a3/2

Answer: C

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