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Question

Chemistry Question on The solid state

The radius of an atom is 300pm300\,pm. If it crystallizes in a face-centered cubic lattice, length of the edge of the unit cell is

A

488.5pm488.5\, pm

B

848.5pm848.5\, pm

C

884.5pm884.5\, pm

D

484.5pm484.5\, pm

Answer

848.5pm848.5\, pm

Explanation

Solution

For fcc,a=22r=2×1.414×300pmfcc, a_= 2 \sqrt{2} r = 2 \times 1.414 \times 300\, pm
=848.4 pm