Theoretical studies on anisotropic electrical conductivity of trans-polyacetylene doped with n-type dopants

Based on energy band theory of solid states, extended Hückel molecular orbital methods (EHMO/CO) were used to calculate the two-dimensional (2D) energy band structures of highly oriented trans-polyacetylene (PA) undoped and doped with n-type dopant (Li, Na, K). The band gaps (Eg) of undoped PA in directions parallel and perpendicular to the oriented direction were 1.195 and 3.040 eV, respectively. When PA was doped with n-type dopant, the corresponding band gaps Eg1 and Eg2 decreased significantly. Based on the calculated results, we could successfully account for the changes of electrical anisotropy of PA from the undoped state to the doped form. The conductivity anisotropy ratio σ1/σ2 decreased when PA was doped with n-type dopant, because the PA chains and the dopant showed a strong interchain coupling. It was the interchain coupling that acted as a bridge between two neighboring chains, and made the charge-carrier transport easier between the interchains. The theoretical results for undoped and doped PA are in good agreement with the experiment.