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