The name "tight binding" of this electronic band structure model suggests that this quantum mechanical model describes the properties of tightly bound … 展开

We introduce the atomic orbitals $${\displaystyle \varphi _{m}(\mathbf {r} )}$$, which are eigenfunctions of the Hamiltonian 展开

Bloch functions describe the electronic states in a periodic crystal lattice. Bloch functions can be represented as a Fourier series
where 展开

Here the tight binding model is illustrated with a s-band model for a string of atoms with a single s-orbital in a straight line with spacing a and σ bonds between atomic sites. 展开

By 1928, the idea of a molecular orbital had been advanced by Robert Mulliken, who was influenced considerably by the work of 展开

As mentioned before the values of the $${\displaystyle \beta _{m}}$$-matrix elements are not so large in comparison with the ionization energy … 展开

Modern explanations of electronic structure like t-J model and Hubbard model are based on tight binding model. Tight binding can be understood by working under a 展开