NCERT Class XII Chemistry
Chapter - The Solid State
Questions with Solutions
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Question : 38
Total: 50
Distinguish between
(i) Hexagonal and monoclinic unit cells
(ii) Face-centred and end-centred unit cells.
(i) Hexagonal and monoclinic unit cells
(ii) Face-centred and end-centred unit cells.
Solution:
(i) (a) Hexagonal unit cell : a = b ≠ c
α = β = 90°, γ = 120°
Examples are graphite, ZnO.
(b) Monoclinic unit cell : a ≠ b ≠ c
α = γ = 90°, β ≠ 90°
Examples areN a 2 S O 4 · 10 H 2 O , monoclinic S.
(ii) (a) Face-centred unit cell : Lattice points are at the corners and centre of each face.
No. of atoms per unit cell= 8 ×
+ 6 ×
= 4
(b) End-centred unit cell : Lattice points are at the corners and at the centres of two end faces.
No. of atoms per unit cell =8 ×
+ 2 ×
= 2
α = β = 90°, γ = 120°
Examples are graphite, ZnO.
(b) Monoclinic unit cell : a ≠ b ≠ c
α = γ = 90°, β ≠ 90°
Examples are
(ii) (a) Face-centred unit cell : Lattice points are at the corners and centre of each face.
No. of atoms per unit cell
(b) End-centred unit cell : Lattice points are at the corners and at the centres of two end faces.
No. of atoms per unit cell =
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