On the basis of the Heisenberg equation of motion and Linderberg-Seamans approximations the analytical formulas for one-electron, two-centre resonance integrals have been derived. The possibility of inclusion of Rydberg and/or inner orbitals to the basis set in the case of d-electron element compounds has been taken into consideration. An application of the derived formulas to the modification of semiempirical, NDO-type methods has been presented. The results of the test INDOL/R version calculations for H2O molecule and MnO4- ion confirm the utility of the method.
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