Free electron approximation for electron states of poly($p$-phenylene vinylene) and other conjugated systems

Abstract

Free electron approximation for electron states in poly($p$-phenylene vinylene) and other conjugated systems is developed. It provides simple and clear analytical expressions for energies of electron states and for wave functions. The results are in quantitative agreement with experiments. Our model does not contain fitting parameters. We present two examples of the developed theory applications: exact calculation of electron energy in magnetic field, and scattering of electrons in copolymer.