Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 112, Issue 5, Pages 2111-2120Publisher
AMER INST PHYSICS
DOI: 10.1063/1.480779
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A Hamiltonian, H-d,H-(2), rigorously diabatic in the vicinity of R-x, a point of conical intersection, is constructed using second-order degenerate perturbation theory. Near an R-x on a C-2v seam of conical intersection of two states of different symmetry, H-d,H-(2) may exhibit a confluence with a C-s seam of conical intersection of two states of the same symmetry. Thus by construction, there exists a rigorous diabatic representation of the vicinity of this confluence. A procedure for defining a unique linear combination of the degenerate states at a conical intersection is found to be useful for determining the parameters for H-d,H-(2) and for identifying approximate symmetries in situations where point group symmetry is rigorously absent. (C) 2000 American Institute of Physics. [S0021-9606(00)01405-7].
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