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Abstract
In this work, we reanalyzed the movement of an electron in the electrostatic field of nucleus. The trajectory of the electron’s motion is an ellipse with a minor semiaxis, tending towards zero. From a mathematical point of view the movement of an electron in such an orbit will be equivalent to the oscillation of an electron. The action produced by electrons in movement between stationary points is discrete and proportional to a Planck constant. This condition sets the allowable values of the electron energy and the radius of their orbit. Electrons on the same shell perform symmetric synchronous oscillations. Their frequency is of the order of 1016 Hz. Most of the time the electrons are located on the periphery of the atom, periodically they simultaneously rush to the nucleus, the atom rapidly compresses and immediately decompresses, i.e. pulsates. The model gives Bohr formula for the energy of single-electron atom and suitable values of ionization potentials of the atoms of the second period of the Periodic Table.
Highlights
A little over one hundred years ago, Niels Bohr [1] introduced the planetary model of the atom—with electrons revolving in circular orbits around a nucleus
The action produced by electrons in movement between stationary points is discrete and proportional to a Planck constant
This condition sets the allowable values of the electron energy and the radius of their orbit
Summary
A little over one hundred years ago, Niels Bohr [1] introduced the planetary model of the atom—with electrons revolving in circular orbits around a nucleus. The main contradiction of these models was—that in line with Maxwell theory the electron moving with acceleration in an electrostatic field of nucleus must emit electromagnetic waves, and loose energy Bohr by passed this restriction by postulating the existence of certain special orbits, along which the electron can move without electromagnetic radiation, and introduced the action quantization rule for movement along these orbits. The electron moves in such an orbit with acceleration, it cannot emit radiation, because this would lead to reduction in its energy and speed, and reducing its action below minimum values practically possible This logical conclusion looks like the Bohr postulate on the existence of special orbits of an electron. After for brevity’s sake we will speak about the oscillations of electrons
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