Journal
CHEMICAL PHYSICS LETTERS
Volume 494, Issue 4-6, Pages 134-138Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cplett.2010.06.011
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A high-order expansion of the three potential-energy surfaces of the T-2 x e Jahn-Teller effect in tetrahedral systems is presented. It is shown that the expansion of the vibronic matrix can be obtained from two diagonal matrices determined from symmetry-invariant polynomials. The method is applied to the methane cation in its triply degenerate electronic ground state, which is known to exhibit an exceptionally strong Jahn-Teller effect. The potential-energy surfaces exhibit a highly anharmonic structure and multiple seams of intersections, rendering a high-order expansion of the potential matrix indispensable. An analytic expansion of the potential-energy surfaces up to 10th order has been fitted to accurate ab initio data. (C) 2010 Elsevier B. V. All rights reserved.
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