QUANTUM MODEL OF HYDROGEN ATOM

prof. Ing. Pavel Omera, CSc.

Brno University of Technology

osmera @fme.vutbr.cz

September 14-16, 20115th Meeting on Chemistry and Life 2011

Main ideas and differencesMENDEL2010

a) spiral structure as the fractal-spiral structure b) fractal-ring structure Fractals seem to be very powerful in describing natural objects on all scales. Fractal dimension and fractal measure, are crucial parameters for such description.

a) b) c)Vortex structures: a) the vortex VB at the drain hole of bath-tub, b) the vortex tornado-vortex VT c) the vortex in the PET bottle

Topological transformation

MENDEL2009

The vortex-fractal-ring structure of the electron Mauritsson Johan: online.itp.ucsb.edu/online/atto06/mauritsson/

The fractal ring structure of the electronMENDEL2010

The fractal ring structure of the electronMENDEL2007

MENDEL2007

Ampers law Couloms law

This result is in coincidence with the well-known Einsteins law.

The levitating electron in the field of the proton The electron-proton structure of hydrogendprotonelektronn=7MENDEL2010MENDEL2007n=1n=1

The line spectrum of hydrogen atomPerhaps the decreasing width 2n of spectrum lines (as 23 = a - b) depends on energy Eio and kinetic energy Er . This energy can vary in the interval {Ea, Eb} for {a, b} and E = Eb - Ea = Eio/(202) = Er /20 = 0.069eV (for n1=2 a different size n2>n1). It can be caused by precession of the electron. a b

a bMENDEL2010

neutron proton

for ro FmaxMENDEL2007

For Eo=0MENDEL2007

n=1n=1n=1 to 7MENDEL2010

de Broglies equation

The spin of the electron Magnetic momentum Mz B is Bohr magneton

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Quantum physicsMENDEL2010

r1 = 0.7223517245ro ~ 0.382, r2 = 1.792517214ro ~ 0.948 the couple constant

Covalent bond

The spin of the electron Vortex structures with spin 1/2MENDEL2010

the vortex structure of the electromagnetic field (photons)MENDEL2009 the structure of the electric field the structure of the magnetic field

Lim, T.T.: serve.me.nus.edu.sg/limtt/

Lim, T.T.: serve.me.nus.edu.sg/limtt/

Examples of spiral structures: a), b) galaxies, c), d) the Earths hurricane

Jupiters spot

History (2004)alpha particle

Vortex structures

One hole Two holes

Structure of light as a ring particle or a wave energy structure

Logarithm of complex number (Re) dark matter

Polarization of a light rayPhoton coming though the sheet with two holes. a) The photon before the way through, b) the photon vortex structure is split to two sub-vortex structures (e.g.: osmeron rays), c) the photon behind the sheet

Forces between two gravitational parallel fibers

Vortex structure of light raysExample: how we can measure the wavelength of lightDiffraction on the DVD surface

ZElementZconfiguration O81s22s22p4 Oxygenthe classical structure model of the water molecule H2O

Element A=Z+N configuration C121s22s22p2 Carbon

atomsnucleusHHeTDOCNFNeMENDEL2010

benzene molecule

Ball lightningPlasma BallMENDEL2010

PhotonMENDEL2011

Electromagnetic field of the electron MENDEL2011

The structure of water MENDEL2011

The structure of the gold MENDEL2011

Structure the of hydrogen atom

The structure of hydrogen with one layer of the electromagnetic field

http://www.youtube.com/watch?v=OsW8zctD7CM MENDEL2011 magnetic liquid

Conclusions The annular-vortex model might be better than a classical planetary one. Vortex structures can explain the electromagnetic field. Fractals seem to be very powerful in describing natural objects on all scales. To understand the electromagnetic field requires a high degree of imagination. The degree of imagination that is required is much more extreme than that required for some of the ancient ideas. The modern ideas are much harder to imagine. We use mathematical equations and rules, and make a lot of pictures. We cant allow ourselves to seriously imagine things, which are obviously in contradiction to the known laws of nature. And so our kind of imagination is quite a difficult game (or a puzzle). One has to have the imagination to think of something that has never seen before, never been heard before. At the same time the thoughts are restricted or limited by the conditions that come from our knowledge of the way nature really is. The problem of creating something which is new, but which is consistent with everything, which has been seen before, is one of extreme difficulty.

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