X-Ray Diffraction Measurements Revealed That Cu Crystallizes in a Face-Centered

Multiple Choice

X-ray diffraction measurements revealed that Cu crystallizes in a face-centered cubic lattice in which the unit cell edge length is 361.5 picometers. Calculate the atomic radius of the Cu atoms in this crystal, based on the assumption that the atoms are tightly packed in the unit cell.Hint: Find the length of the cell face diagonal using the Pythagorean theorem.

A) 90.4 pm
B) 127.8 pm
C) 156.5 pm
D) 170.4 pm
E) 180.8 pm