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As a result of Fullerene synthesis, carbon nanotubes were discovered and thus belong to the Fullerene structural family. Carbon nano tube which is an allotrope of carbon may be defined as seamless cylinders of one or more layers of graphene which exhibits many unexpected and extraordinary thermal, mechanical and electrical properties. These single-walled carbon nanotubes are the seamless cylinders of one layer of graphene which itself is a hexagonal arrangement of carbon atoms in one plane. These single-walled carbon nanotubes often when examined have a diameter in the range of ~ 1 nm. The optical resonances of a single SWNT are identified from the Rayleigh spectra.