 The general formulation above shows how these extensions can be accomplished.In 1954 J.C. Slater and G.F. Koster published, mainly for the calculation of transition metal d-bands, a table of interatomic matrix elements
which can also be derived from the cubic harmonic orbitals straightforwardly.The table expresses the matrix elements as functions of LCAO two-centre bond integrals between two cubic harmonic orbitals, "i" and "j", on adjacent atoms.