Symmetry-breaking and near-symmetry-breaking in three-electron-bonded radical cations

摘要

The manifestations of the symmetry-breaking artifa~ in three-electron-bonded systems have been investigated at several computational levels including second-order M~ller-Plesset perturbation theory (MP2), coupled cluster (CC), and Bruckner-coupled cluster (B-CC) theories. The model systems, [HnX...XHn]+(X=Ne,F,O,N,Ar,Cl,S,P; n=0-3) cover all types of three-electron bonds that can possibly take place between atoms of the second and third rows of the Periodic Table. The critical interatomic distance beyond which symmetry breaking begins to take place at the Hartree-Fock and M~ller-Plesset levels are determined for each model system. Their magnitude are found to obey regular tendencies which are related to the compactness of the orbitals involved in the three-electron bonds. In all model systems, the onSets of symmetry-breaking at the MP2 level are greater or equal to the equilibrium bonding distance between the XHn fragments. The symmetry-breaking artifact results in severe discontinuities in the dissociation curves at the MP2 level. The CC level pushes away the occurrence of the artifact to larger distances but do not remove the discontinuities. The artifact is practically cured at the B-CC level with perturbative treatment of triple excitations. The onset of symmetry-breaking may in some cases be shortened by substituent effects, to the extent that it becomes shorter than the equilibrium bonding distance like in the Me4Oi and Me2Fi cation radicals that are found to be symmetry-unstable even in their equilibrium geometries. The artifact carries over to unsymmetrical sy