 Assuming only nearest neighbor overlap, the only non-zero matrix elements of the Hamiltonian can be expressed as

The energy "E"i is the ionization energy corresponding to the chosen atomic orbital and "U" is the energy shift of the orbital as a result of the potential of neighboring atoms.The formula_66 elements, which are the Slater and Koster interatomic matrix elements, are the bond energies formula_67.In this one dimensional s-band model we only have formula_68-bonds between the s-orbitals with bond energy formula_69.