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03 Relations Between Electronic Extremes: Rotation Time as Probability and Feliz I.

Javier Silvestre

Published Dec 1, 2017• 0 citations
OpenAlex

Abstract

To the absence of repulsion inter electronic by charge saturation (P04) [1], relation between electrons is added in this article. This relationship conditions ionization energies (birth energies or Eo). After several ideas, relation developed is based on coupling between electrons probability. Electron Probability is introduced based on electron orbital turn time. Firstly, electron probability is defined according to division and radial distance. Variable Compaction Factor or First Feliz Solution is included to correct rising probability with the distance. Finally, electron Probability with Variable Compaction Factor is compared to current orbital representation.

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To the absence of repulsion inter electronic by charge saturation (P04) [1], relation between electrons is added in this article. This relationship conditions ionization energies (birth energies or Eo). After several ideas, relation developed is based on coupling between electrons probability. Electron Probability is introduced based on electron orbital turn time. Firstly, electron probability is defined according to division and radial distance. Variable Compaction Factor or First Feliz Solution is included to correct rising probability with the distance. Finally, electron Probability with Variable Compaction Factor is compared to current orbital representation.
Electronic extreme Probability (Pi) as orbital turn time [3] is obtained with its orbital circumference (ci) [2] divided by its velocity (vi) [1]. Regardless of PEP, whether 1 for 1s Hydrogen or 2 for rest, is verified that First Feliz Solution and its variable CF with first-order approximation changes monotonous PA increase when rA increases [3]. Probability radial closure objective is achieved by using Second Feliz Solution with high order variable CF (Theoretically to order infinite). Second Feliz Solution factors importance is studied and its relationship with d, division in which electronic extreme is found, is checked. As consequence, variable CF behaviour differs to division near 1, intermediate and high. This is 4th article of 24 dedicated to atomic model based on Victoria equation
This is 6th article of 24 dedicated to atomic model based on Victoria equation (Articles index is at end). Fourth Feliz Solution is exposed to justify electron lobes magnitudes (z, MON or CPOTI) that can be in n principal quantum number by means of NIN (negative in negative) concept extension. First electron that exists in a new n principal quantum number has origin role with respect to other electrons that are later incorporated (P34) in this NIN concept extension. This origin electron is defined by electronic system that gives rise to other electronic systems of this same n number (P35 and P36). Origin electron MON values are included in P37 and P38 with first relations between them and equation that allows to obtain MON for No Origin electrons is defined in P39. Probability coefficient that relates two electrons is released (P42) and, together with MON (P39), z (P41) and CPOTI (P43) couplings, serve to Probability curves coupling.
Electronic Extreme Probability (Pi), defined in [3] as quotient between orbital circumference (ci) [2] and velocity (vi) [1], includes CF from being constant to variable. Initially, variable CF is 1-order [3] to become in high-order (theoretically up to order infinite) achieving probability radial closure [4]. If probability radial closure is achieved by Second Feliz Solution [4], now arrival at orbital geometric limit and orbital volume filling are acquired with CPOTI coefficient of Third Feliz Solution. These actions are performed by radial probability distribution curve that is kept constant. Finally, a method by trial and error is included to find orbital geometric limit. This is 5th article of 24 dedicated to atomic model based on Victoria equation (Articles index is at end).
Following postulates focus application on atomic electrons which, by balancing and swinging of electronic extremes around pivot or initial position, achieve electron cloud with specific positions and momentums and always maintaining initial energy with electronic extremes energy sum (equi-energetic state or ES). First Victoria Equation applications serve to make an initial approximation to atomic radius, to show 2 electronics extremes radial distribution from which velocities and momentums are derived, as well as to know nuclear radius distance and energy of both electronic extremes as function of parameter called birth wavelength division.
The equidensity orbitals (EO) are used in the resultant entropic description of molecular states which combines the probability and current contributions in the overall information content. Continuities of the modulus and phase components of electronic wavefunctions are examined, and the Harriman–Zumbach–Maschke (HZM) construction of Slater determinants yielding the prescribed electron density is explored. The conditional probability interpretation of (complex) HZM wavefunctions is formulated, the entropy/information contributions due to the state phase component are summarized, and a nonclassical origin of quantum dynamics of the resultant gradient information, related to average kinetic energy of electrons, is emphasized. The phase equilibria maximizing the resultant-entropy measures are explored, and “thermodynamic” phase minimizing the overall gradient information is determined. It generates finite orbital currents giving rise to the vanishing resultant flow of electrons in the system as a whole. Potential use of atomic and molecular EO bases in electronic structure calculations and interpretations in chemistry is discussed, and illustrative example of Gaussian probability distribution is examined in some detail.
This work integrates and completes the previous studies (viXra 2411.0050 and 2412.0092 Quantum Physics) . The attractive and repulsive potentials are defined, where the magnetic moment and spin play an essential role in ensuring the stationarity of the electron and the orbitals that constitute it .A hypothesis is proposed regarding a source of the electrostatic field , determined by the extreme polarization of the quantum vacuum , which exists at very short distances corresponding to very high energy densities . The effect of such polarization creates a void , induced by the surrounding charges of opposite sign , whose attractive effects are balanced by spin , which generates a local centrifugal force . The application of this concept provides an innovative solution to the unresolved problem of the "Poincaré stress" . Following the framework of traditional quantum mechanics , the Hamiltonians and Schrödinger equations are defined for each orbital . The resulting wave functions , which are entangled like the orbitals they refer to , are combined with appropriate normalized coefficients to form the global electron wave function .