Representation of Four-Dimensional Hybridized Atomic Orbital

Abstract

Three-dimensional hybridized atomic orbital wave functions with one s-orbital and three p-orbitals on rectangular coordinate were visualized using isosurface technique of a software called AVS (Application Visualization System). Three-dimensional hybridized atomic orbital visualization results showed normalized orthogonality. Four-dimensional hybridized atomic orbital wave functions with one s-orbital and four p-orbitals were given by normalized orthogonality method. Four-dimensional hybridized atomic orbital wave functions were visualized using projection on three-dimensional space. We obtained the general expressions for D-dimensional hybridized atomic orbital wave functions with one s-orbital and D p-orbitals.