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Question

Chemistry Question on The solid state

Copper crystallises in a face centred cubic lattice with a unit cell length of 361pm361\, pm. What is the radius of copper atom in pmpm ?

A

128128

B

157157

C

181181

D

108108

Answer

128128

Explanation

Solution

CuCu \rightarrow fcc lattice 4r=2a4 r=\sqrt{2} a r=122ar=\frac{1}{2 \sqrt{2}} a r=122×361=128r=\frac{1}{2 \sqrt{2}} \times 361=128