Answer to Question #202579 in Chemistry for Jerry

Question

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.

Answer 1

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