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An exact description of $\pi$ electrons based on the tight-binding model ofgraphene as an alternant, plane macromolecule is presented. The model moleculecan contain an arbitrary number of benzene rings and has armchair- andzigzag-shaped edges. This suggests an instructive alternative to the mostcommonly used approach, where the reference is made to the honeycomb latticeperiodic in its A and B sublattices. Several advantages of the macromoleculemodel are demonstrated. The newly derived analytical relations detail ourunderstanding of $\pi$ electron nature in achiral graphene ribbons and carbontubes and classify these structures as quantum wires.

Spectrum of $\pi$ Electrons in Graphene as an Alternant Macromolecule and Its Specific Features in Quantum Conductance