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Michał Gryziński

localising electrons in atoms, molecules and crystals

 
  • Hydrogen atom: electrons in atoms move radially.
    (Michał Gryziński, IPJ)                                                                            Internet: 15 March 1999

There is given a rigorous proof that electrons in the atom move according basic laws of classical dynamics and that in the in the ground-energy-state atom electrons move along radial (almost radial) trajectories. In the case of a single unpaired electron the latter is on a distance of the order of the electron Compton wave-length from the nucleus scattered by a short range spin magnetic field. If spin axis of the electron is perpendicular to the radius vector of the electron the latter is scattered form the nucleus by exactly 120 and after each three scatterings comes back to the starting point. As a result, spin axis of the electron and radial segments of a free-fall orbit - looking like stretched atomic arms – are oriented to each other in a definite way. It has been shown that it is spin of the electron which determines spatial structure of molecules and keeps order in a solid body.
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  • Eureka! - Electrons in the helium atom have been just localised!
    (Michał Gryziński, IPJ)                                                                                                Internet: 15 March 1999

Many years lasting theoretical research on localisation of electrons in  the helium atom has been just crowned with a success. The problem has been solved, taking into account spin properties of the electron, on a basis of a rigorously formulated formalism of classical dynamics. Solving equations of motion for two moving collectively in the Coulomb field of nucleus electrons the shape of the ground-state electron orbital - consisting of two quasi free-fall, symmetric with respect to the nucleus trajectories - has been finally deciphered. It has been shown that the found radial orbital correctly describes fundamental properties of the helium atom (magnetic susceptibility, electrical polarizability, scattering. Expanding electric field of our atom into electric multipoles, two leading terms of this field, describing interaction between helium atoms at large distances, have been calculated. The responsible for resonance attractive interaction between atoms oscillatory dipole moment and keeping two atoms on a distance a static electric quadrupole appeared to be quite satisfactory to describe basic properties of a condensed phase of helium. It has been shown that with lowering the temperature helium atoms join together and form tightly bound trigonal and quadratic clusters having well defined dimensions and well defined thermodynamical properties. Subsequently, these clusters – two building blocks of atomic architecture – join in pairs and form cubic or octahedral cells of a liquid helium. Linear dimensions of basic clusters determine density of a liquid helium. The found in this way density appeared to be in a close agreement with measurements. At the end, some arguments that two electrons of the Cooper pair move in a similar way as move two electrons in the helium atom have been presented.
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