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Cubic unit cells: packing efficiency and density
JEE Main level
Single correct option
Difficulty 2 of 3
ss061
A metal crystallises in an fcc lattice and its atomic radius is
128
pm
. Taking
2
=
1.414
, the edge length of the unit cell in pm is
A
296
B
362
C
256
D
512
Answer: B
In fcc the atoms touch along the face diagonal:
2
a
=
4
r
, so
a
=
2
2
r
=
2
×
1.414
×
128
=
362
pm
.
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