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Cubic unit cells: packing efficiency and density
NEET level
Single correct option
Difficulty 1 of 3
ss006
For a face-centred cubic unit cell of atoms of radius
r
, the edge length
a
is
A
2
r
B
4
r
C
2
2
r
D
4
r
/
3
Answer: C
Atoms touch along the face diagonal, which has length
2
a
=
4
r
, so
a
=
4
r
/
2
=
2
2
r
. The option
4
r
/
3
is for bcc and
2
r
for simple cubic.
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