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Question

Chemistry Question on The solid state

Copper crystallises in fcc with a unit length of 361pm361\,pm. What is the radius of copper atom ?

A

157 pm

B

128 pm

C

108 pm

D

181 pm

Answer

128 pm

Explanation

Solution

For FCC,
r=2a4=a22=0.3535ar=\frac{\sqrt{2}a}{4}=\frac{a}{2 \sqrt{2}}=0.3535 a
given a=361pma = 361 \,pm
r=0.3535×361r=0.3535 \times361
=128pm= 128 \,pm