The Fundament of the Mass: The Variant Mass of Electron at Atom

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“…The theoretical results of the binding energy of the electron and the probabilistic distance r of the electron location are compatible with the Bohr model and spectroscopy experiments and with the solution of the Schrödinger equation in quantum mechanics which gives the maximum probability density versus r for the hydrogen atom [6]. According to the Bohr model and for the hydrogen atom and depending on the quantum number n, the velocity (v), energy (E) and radius (r) of the electron are [1]:…”

“…According to the Bohr model for the hydrogen atom [1], there are allowed orbits for the electron in which the angular momentum is where n is the principal quantum number: 1,2,3…. The theoretical results of the binding energy of the electron and the probabilistic distance r of the electron location are compatible with the Bohr model and spectroscopy experiments and with the solution of the Schrödinger equation in quantum mechanics which gives the maximum probability density versus r for the hydrogen atom [6].…”

“…For each quantum number n, the velocity (m/s), the radius (m), and the energy (eV) of the electron (ionization energy) in the respective shell or quantum level are [1]: To test the development formula of the variant mass for the ionization emission energy of the electron for the Hydrogen atom, some calculations using Quantum Mechanics are done. Then, the mass results for both methods are compared [1].…”

“…In this mass symmetry, the charge of the particle is concentrated in its mass nucleus with an uncharged mass cloud around its nucleus. This mass cloud is located in the respective orbitals given by the Schrödinger equation where Then, the loss of mass cloud due to the interaction is converted into electromagnetic energy or photons based on Einstein's equation and the Giovanni Alcocer variant mass formula [1], [2], [3], [4], [5]. Thus, as a result of this interaction, electromagnetic radiation or photons will be emitted: mc 2 +m*c 2 -> E γ +E γ .…”

“…It is because two photons are needed at least to hold the conservation of momentum. The loss of mass cloud and converted into electromagnetic energy is given by the variant mass formula discovered and developed by myself in the article [1]: "The Fundament of the Mass: The Variant Mass of the Electron at the atom. Experimental results: Ionization energy of the electrons at the atom.…”