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Standard XII
Chemistry
Crystal Lattice and Unit Cell
Aluminium cry...
Question
Aluminium crystallises in a cubic close-packed structure. Its metallic radius is
125
p
m
. (i) What is the length of the side of the unit cell? (ii) How many unit cells are there in
1.00
c
m
3
of aluminium?
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Solution
i) In CCP,
4
r
=
a
√
2
4
×
125
=
500
=
a
√
2
a
=
353.6
pm
=
3.536
˚
A
ii) Let the number of atoms be
n
V
=
n
×
V
m
10
−
6
=
n
×
(
3.536
)
3
×
10
−
30
n
=
10
24
(
3.536
)
3
=
10
24
44.21
=
2.262
×
10
22
atoms
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