ABSTRACT

A tight-binding method is a simple approach for describing the electronic and geometrical structure of molecules solids or other material compounds. It is a quantum mechanical approximation based on the linear combination of atomic orbitals. There are one orbital one site or more orbital one-site approximations. The tight binding theory is one version of the linear combination of atomic orbitals (LCAO) method it has its origin in the thesis of Felix Bloch where he was studying the electronic structure of solids. The simpler tight-binding methods can give very important qualitative properties of the molecule, and the tight binding methods can give results which are very near to ab initio calculations. The one orbital one site tight binding method was used to classify the fullerenes, and to determine the Dirac points and other important electronic properties of the graphene.