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Question

Chemistry Question on The solid state

Copper crystallizes in fcc with a unit cell length of 361 pm. What is the radius of copper atom ?

A

108pm108\, pm

B

127pm127\, pm

C

157pm157\, pm

D

181pm181\, pm

Answer

127pm127\, pm

Explanation

Solution

For FCC, 2a=4r\sqrt{2}a=4r (the atoms touches each other along the face- diagonal) r=2a4=2×3614r=\frac{\sqrt{2}a}{4}=\frac{\sqrt{2}\times361}{4} =127pm=127\,pm