# THE g'Ga CONFORMER OF ETHYLENE GLYCOL: A TEST CASE FOR TUNNELING-ROTATION APPROACHES DEVELOPED FOR NON-RIGID MOLECULES

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 Title: THE g'Ga CONFORMER OF ETHYLENE GLYCOL: A TEST CASE FOR TUNNELING-ROTATION APPROACHES DEVELOPED FOR NON-RIGID MOLECULES Creators: Christen, Dines; Müller, Holger S. P.; Coudert, L. H. Issue Date: 2002 Publisher: Ohio State University Abstract: Ethylene glycol $(CH_{2}OH)_{2}$ is a molecule of great interest because it displays intramolecular hydrogen bonding as well as an interconversion large amplitude motion which allows each OH groups to be put in turn into the hydrogen bond. This molecule also occurs in several conformers and at the present time only the two lowest lying forms have been spectro-scopically characterized, namely, when listed with increasing energy, the $g^{\prime}Ga^{a}$ and the $g^{\prime}Gg^{b}$ conformers. As shown by the previous $investigation,^{a}$ in the $g^{\prime}Ga$ conformer, the large amplitude motion leads to a large tunneling splitting of about 6.9 GHz which is Coriolis coupled to the overal rotation of the molecule. The new measurements of the millimeterwave spectrum carried out in K\""{o}ln confirm these results. However, they involve transitions characterized by much higher J and $K_{a}$-values than those initially measured and the theoretical approach developed $previously^{a}$ did not allow us at first to account correctly for the observed frequencies. The new data were first analyzed using an RAS fit program based on Pickett's $formalism^{c}$ and afterwards using a modified version of the IAM-like approach initially $developed.^{a}$ Although both theoretical approaches are designed to account for the Coriolis coupling between the large amplitude motion and the overall rotation of the molecule, they involve very different coupling terms. In the paper, the results of the two analysis will be presented. The differences and the analogies between the two theoretical approaches will be discussed and it will be stressed, using the results of both analyses, that there exists a transformation which allows us to obtain the spectroscopic parameters of the RAS $fit^{c}$ from those obtained in the IAM-like $formalism,^{a}$ and vice versa. Description: $^{a}$ Christen, Coudert, Suenram, and Lovas, J. Mol. Spectrosc. $172, 57 (1995). ^{b}$ Christen, Coudert, Larsson, and Cremer, J. Mol. Spectrosc. 205, 185 $(2001). ^{c}$ Pickett, J. Chem. Phys. 56, 1715 (1972). Author Institution: Institut f\""{u}r Physikalische und Theoretische Chemie, Universit\""{a}t T\""{u}bingen, Auf der Morgen-stelle 8; I. Physikalisches Institut, Universit\'at zu K\""oln; Laboratoire de Photophysique Mol\'eculaire, C.N.R.S., B\^at. 350, Universit\'e Paris-Sud URI: http://hdl.handle.net/1811/20557 Other Identifiers: 2002-TB-03