Additional Quantum Numbers for Electron Orbitals of Nanoparticles

Details Additional Quantum Numbers for Electron Orbitals of Nanoparticles Additional Quantum Numbers for Electron Orbitals of Nanoparticles

2011-04-21

arxiv.org/abs/1104.4239v1

Physics

Atomic and Molecular Clusters

11 pages, 1 figure, 2 tables

Scientific paper

It is shown that in large symmetrical nanoparticles additional quantum numbers are required to label unambiguously symmetry adapted linear combinations of the wave functions. It is obtained that the labels of irreducible representations (IRs) of intermediate subgroups (between the whole symmetry group and local subgroup) can be used for complete classification of states in the case of repeating IRs. The examples of Oh and Ih groups are considered and the connection of additional quantum numbers with local interactions is discussed

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