The pyknometric density of sodium chloride crystal is 2.165 ×103 kg m–3 while its X-ray density is 2.178 × 103 kg m–3. The fraction of the unoccupied sites in sodium chloride crystal is
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Molar volume from pyknometric density =
d
M
=
2.165×10
3
M
m
3
(M in kg)
Molar volume from X-ray density =
d
M
=
2.178×10
3
M
m
3
∴ Volume unoccupied =
10
3
M
(
2.165
1
−
2.178
1
) m
3
∴ Fraction unoccupied =
(
2.165
M×10
−3
)
(
2.165×2.178
0.013M×10
−3
)
=5.96×10
−3
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