Europium metal crystallizes in a body–centered lattice with the unit cell measuring 4.58
A° along each edge. Determine the volume of a unit cell.
A body-centred lattice forms a cubic unit cell. As a result, the volume of a cube equals:
V = a3
where a is the edge length of the cube.
From here, the volume of a unit cell equals:
V = a3 = (4.58 A°)3 = (4.58 × 10-10 m)3 = 9.6 × 10-29 m3
Answer: 9.6 × 10-29 m3