Kratzer potential for vibrational levels in molecular hydrogen

Abstract

The vibrational part of the dihydrogen Hamiltonian obeys a quantized Sommerfeld-Kratzer potential, which takes into account internal H2 symmetries. All constants ωe, ke, and re needed for the H2 vibrational system derive from hydrogen mass. Ionic Kratzer bond theory gives covalent bond energy within 0.08% and all levels within 0.02%, which is 30 times better than with a Dunham oscillator and as accurate as early ab initio quantum mechanics. © 2009 Verlag der Zeitschrift für Naturforschung, Tübingen.