Title : Hydrogen molecule: Estimation of ground and excited electronic states
Abstract:
Considering electron Compton wavelength associated with the mass of an electron as a basic unit of length for atomic and molecular systems one can estimate electronic energy levels of atomic and molecular systems by simple consideration of the atomic or molecular bound state as a standing wave. This investigation is about the calculation of both ground and excited electronic energy levels of hydrogen molecules accurately without complex quantum mechanical calculations based on the particle model. Predicted molecular electronic energy levels are obtained by a simple multiple of atomic ground state number of Compton waves. As hydrogen is now part of environmentally safe fuel research, simple and accurate investigation of its ground and excited states is useful. This paper establishes molecular energy level calculations using well-known corresponding atomic parameters.
Audience Take Away Notes:
- Compton wavelength of an electron is a natural unit of length for the scale of atomic and molecula systems
- Bohr-like molecular electronic energy levels can be calculated for hydrogen molecule in a close form
- The fine structure constant emerges naturally as a ratio of electron Compton wavelength and de
Broglie wavelength of an electron in the same orbit