Copper crystallizes in a face-centered cubic lattice.The radius of a copper atom is 128 pm.What is the edge length of the unit cell?
A) 362 pm
B) 256 pm
C) 512 pm
D) 272 pm
E) 128 pm

Question

Quizplus · Accepted Answer

In a face-centered cubic (FCC) lattice, the edge length (a) can be related to the atomic radius (r) by the formula a = 2√2r. Substituting the given radius of 128 pm into the formula gives a = 2√2(128 pm) = 2(1.414)(128 pm) ≈ 362 pm.

Copper Crystallizes in a Face-Centered Cubic Lattice