Quantization of the energy in atoms

Yibing Qiu

Jorge Henrique de Oliveira Sales, Suzuki, A. T., D. S. Bonafe

We present in this work a pedagogical way of quantizing the atomic orbit for the hydrogen's atom model proposed by Bohr without using his hypothesis of angular momentum quantization. In contrast to the usual treatment for the orbital quantization, we show that using energy conservation, correspondence principle and Plank's energy quantization Bohr's hypothesis can be deduced from and is a consequence of the Planck's energy quantization.

S. Venkatesan

Classical subatomic particles simulations were applied to protons, neutrons and electrons to simulate a complete atom using pseudo potentials to simulate nucleus and electrons distributed around nucleus. Molecular dynamics algorithms were applied to subatomic particles to simulate a complete atom for Hydrogen, Carbon and Uranium atoms that were reported in previous studies. Further analysis of energies of Carbon atom reveals that atom has quantized discrete energy values rather than continuous energies as expected in classical simulations. Changes in atom's total energy were observed to be in step changes going to higher/lower energy states and energy values are observed to be in quantized rather than continuous. Electrons energy profiles was observed during the atom's quantum energy shifts and only one electron got affected that has step change in its energies, for short duration, leaving other electrons unaffected. To observe similar phenomenon in other atoms, Fluorine, Magnesium and Chlorine atom were considered in this study and found to have similar quantized discrete energy values properties. This study implements subatomic particles simulations using classical mechanics that explains why atom's energies are quantized in nature as observed in discrete lines in atomic emission/absorption spectrum for atoms.

Rubén Santamaría