Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH

Details Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH

2008-06-02

arxiv.org/abs/0806.0224v2

Z.Naturforsch.A64:801,2009

Physics

General Physics

21 pages, 4 figures, 2 tables, at the institutional archive Ghent University, references and early ab initio QM results added,

Scientific paper

A dihydrogen Hamiltonian reduces to the Sommerfeld-Kratzer-potential, adapted for field quantization according to old-quantum theory. Constants omega_e, k_e and r_e needed for the H_2 vibrational system derive solely from hydrogen mass m_H. For H_2, a first principles ionic Kratzer oscillator returns the covalent bond energy within 0,08 % and all levels within 0,02 %, 30 times better than the Dunham oscillator and as accurate as early ab initio QM.

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