# STARK EFFECT USING TENSORIAL FORMALISM IN THE $D_{2h}$ GROUP: APPLICATION TO THE $C_{2}H_{4}$ MOLECULE

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 Title: STARK EFFECT USING TENSORIAL FORMALISM IN THE $D_{2h}$ GROUP: APPLICATION TO THE $C_{2}H_{4}$ MOLECULE Creators: Raballand, W.; Rotger, M.; Boudon, V.; Loete, M. Issue Date: 2004 Publisher: Ohio State University Abstract: A tensorial formalism adapted to the case of $X_{2}Y_{4}$ asymmetric $molecules^{a}$ with $D_{2h}$ symmetry has been developed in the same way as in the previous works on $XY_{4}{^{b}}(T_{d})$ and $XY_{6}{^{c}}(O_{h})$ spherical tops, $XY_{5}Z (C_{4v})$ symmetric $tops^{d,e}$ or $XY_{2}Z_{2} (C_{2v})$ asymmetric $tops^{f}$. We have then constructed a Stark Hamiltonian using the same principle. This model allows the calculation of Stark shifts and splittings in the spectra of $D_{2h}$ molecules. Preliminary predictions will be shown for some rovibrational bands of the $C_{2}H_{4}$ molecule. Description: $^{a}$W. Raballand, M. Rotger, V. Boundon and M. Lo\""{e}te, J. Mol. Spectrosc., 217, 239-248, (2003). $^{b}$J.-P. Champion, M. Lo\""{e}te and G. Pierre, in Spectroscopy of the Earth's Atmosphere and Interstellar Medium'' (K. N. Rao and A. Weber, Eds.) pp. 339-422, Academic Press, Inc., San Diego (1992). $^{c}$N. Cheblal, M. Lo\""{e}te and V. Boudon, J. Mol. Spectrosc., 197, 222-231, (1999). $^{d}$M. Rotger, V. Boudon and M. Lo\""{e}te, J. Mol. Spectrosc., 200, 123-130, (2000). $^{e}$M. Rotger, V. Boudon and M. Lo\""{e}te, J. Mol. Spectrosc., 200, 131-137, (2000). $^{f}$M. Rotger, V. Boudon and M. Lo\""{e}te, J. Mol. Spectrosc., 216, 297-307, (2002). Author Institution: Laboratoire de Physique de l'Universit\'{e} de Bourgogne URI: http://hdl.handle.net/1811/21200 Other Identifiers: 2004-MH-03