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Question

Which of the following statements is correct regarding 2-D crystal lattice?

A
For square unit cell, a=b; γ=90o
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B
For parallelogram, a=b; γ120o
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C
2 parameters are required to define the lattice
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D
For hexagonal unit cell, a=b; γ=60o
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Solution

The correct option is A For square unit cell, a=b; γ=90o
In 2-D crystal lattice, there will be regular arrangement of lattice points in a plane.
Three parameters are required to define the 2-D lattice.
They are, two edge lengths 'a' and 'b' and angle between the edges, γ.
Thus, statement (c) is wrong.
There are 5 crystal systems for 2-D crystall lattice.
Crystal system Edge lengths Angles
Square unit cell a=b γ=90o
Rectangular unit cell ab γ=90o
Hexagonal unit cell a=b γ=120o
Rhombic unit cell a=b γ120o, 60o, 90o
Parallelogram ab γ=120o

Thus, statement (a) is correct.

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