Quantum representations of dynamical systems: new bending modes of acetylene

Abstract

Through well-established methods of group theory, we suggest how to construct new basis sets in the four-dimensional system of bending modes in acetylene. A novel, comprehensive family of vibrational modes is found allowing one to improve the partial analyses available for this molecule in terms of local/normal quantum numbers. We provide the general features of our technique for future extensions to other, more complex systems of current interest