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  4. A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal aotms in one unit cell, what is the radius of one atom?

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Q. A given metal crystallizes out with a cubic structure having edge length of 361 pm. If there are four metal aotms in one unit cell, what is the radius of one atom?

AIPMTAIPMT 2015

Solution:

$\ce{FCC : r = \frac{a}{2 \sqrt{2}} = \frac{361}{2 \times 1.4141} = 127 \, pm }$