Question

In: Physics

Claim: "Out of the five 2-D lattice groups, there is no lattice group that has a...

Claim: "Out of the five 2-D lattice groups, there is no lattice group that has a notation of order 5"

Prove this with an example of a honey-comb lattice or rectangular lattice (if possible for either one).

Hint: Consider what you can do with eigenvalues and characteristic equations.

Solutions

Expert Solution

Five fold rotation is not possible because it is not compatible with the lattice translational symmetry.


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