A metal that crystallizes in a face-centered cubic array of atoms has a radius of 124 pm. What is the length of the edge for the unit cell, in pm?

Name: A metal that crystallizes in a face-centered cubic array of atoms has a radius of 124 pm. What is the length of the edge for the unit cell, in pm?
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Quizplus · Accepted Answer

In a face-centered cubic (FCC) lattice, the edge length (a) is related to the atomic radius (r) by the formula a = 2√2r. Substituting r = 124 pm, we get a = 2√2(124) = 351 pm.

A Metal That Crystallizes in a Face-Centered Cubic Array of Atoms