Question

Copper crystallises in fcc with a unit cell length of 361 pm. What is the radius of copper atom?
(a) 127 pm
(b) 157 pm
(c) 181 pm
(d) 108 pm

Answer 1

Edge length = a = 361pm

Radius of Cu = ?

For fcc, r = a√2/4 = 361√2/4 =

= 127.63pm

or, 127pm

So, the correct answer is (a) 127pm

Answer 2

The radius of copper atom is 127 pm

Explanation:

We are given:

Edge length of copper = 361 pm

To calculate the radius of copper, we use the relation between the radius and edge length for FCC lattice:

$a=2\sqrt{2}R$

Putting values in above equation, we get:

$361=2\sqrt{2}\times R=127pm$

Learn more about radius and edge length for FCC lattice:

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