THE HIDDEN KERNEL OF MOLECULAR QUASI-LINEARITY: QUANTUM MONODROMY

Author Institution: Department of Physics, The Ohio State University, Columbus, OH; 43210; Department of Physics, University of New Brunswick,; Fredericton NB E3B5A3Chain molecules with one single low-lying bending mode provide a set of model species for the exploration of quantum monodromy in quasi-linear molecules. Recent work on water}}, 193--197, 2005.} and NCNCS}}, 243002, 2005.} have shown that the topology of the energy-momentum maps of such molecules follows closely predictions based on the mathematical concept of non-trivial monodromy. From experimental data and new general semi-rigid bender (GSRB) calculations which extrapolate beyond the existing data for various species, we can now present the topological properties of the bending-rotation energy-momentum maps of a wide range of molecules, from rigidly linear to rigidly bent. It will also be shown that the energy-momentum map for the end-over-end rotational energy, represented by the effective rotational constant $\bar{B}$, has unexpected properties which, like the bending-rotation energy-momentum map, are robust across the whole set of molecules studied. The molecules discussed are OCCCS, NCCNO, HCNO, OCCCO, ClCNO and BrCNO, NCNCS, HCCNCO, NCNCO and NCSCN