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Question

Chemistry Question on Unit Cells

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?

A

80 pm

B

108 pm

C

40 pm

D

127 pm

Answer

127 pm

Explanation

Solution

FCC:r=a22=3612×1.4141=127pm{FCC : r = \frac{a}{2 \sqrt{2}} = \frac{361}{2 \times 1.4141} = 127 \, pm }