It is possible to construct 18 triplet-state functions for nonlinear H3+ which are antisymmetric with respect to the molecular plane and which belong to electron configurations like 1sA2pπB. The set reduces to A13″ + 3A2″ + 23E″ for equilateral triangles, 33A2 + 33B1 for isosceles triangles, or one component of each of 3 3Πg + 3 3Πu for linear symmetrical H3+. Diatomics-in-molecules theory is used to compute the potential energy surfaces for these states. None appear to be stable or metastable.
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Wu et al. (1968) studied this question.
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