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A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom?
A
40 pm
B
127 pm
C
80 pm
D
108 pm
Detailed Solution
Z = 4 means an fcc unit cell, where $r = \frac{a}{2\sqrt{2}}$.
$r = \frac{361}{2\sqrt{2}} \approx 127.6$ pm ≈ 127 pm
$r = \frac{361}{2\sqrt{2}} \approx 127.6$ pm ≈ 127 pm