A Novel Algebraic Scheme for Describing Coupled Benders in Tetratomic Molecules

An algebraic scheme for describing the bending dynamics of tetratomic molecules including linear, bent planar, and bent a-planar species is introduced. The correlation diagram linear-cis-bent and linear-trans-bent is constructed. Effective potential energy functions are evaluated by exploiting the method of coherent states. A sample calculation of the bending vibrations of C2H2 in its X1 Sigma(g)+ electronic ground state is performed.