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

G. Van Hooydonk

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arXiv · 0806.0224

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

G. Van Hooydonk

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Abstract

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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G. Van Hooydonk. 2008-06-02. Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH. https://arxiv.org/abs/0806.0224

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