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QUANTUM MODEL OF HYDROGEN ATOM prof. Ing. Pavel Ošmera, CSc. Brno University of Technology September 14-16, th Meeting on Chemistry and Life 2011

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Main ideas and differences MENDEL2010

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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.

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

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Topological transformation

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MENDEL2009

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

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The fractal ring structure of the electron MENDEL2010

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The fractal ring structure of the electron MENDEL2007

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Amper‘s law Coulom‘s law

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This result is in coincidence with the well-known Einstein’s law.

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The levitating electron in the field of the proton The electron-proton structure of hydrogen d proton elektron n=7 MENDEL2010 MENDEL2007 n=1

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The line spectrum of hydrogen atom Perhaps the decreasing width Δλ 2n of spectrum lines (as Δλ 23 = λ a - λ b ) depends on energy E io and kinetic energy E r. This energy can vary in the interval {E a, E b } for {λ a, λ b } and ΔE λ = E b - E a = E io /(20π 2 ) = E r /20 = 0.069eV (for n 1 =2 a different size n 2 >n 1 ). It can be caused by precession of the electron. λ a λ b λ a λ b MENDEL2010

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neutron proton

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for r o F max MENDEL2007

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For E o =0 MENDEL2007

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n=1 n=1 to 7 MENDEL2010

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de Broglie’s equation

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The spin of the electron Magnetic momentum M z μ B is Bohr magneton

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Quantum physics MENDEL2010

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r 1 = r o ~ 0.382Å, r 2 = r o ~ 0.948Å the couple constant α

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Covalent bond

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

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

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

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

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Examples of spiral structures: a), b) galaxies, c), d) the Earth’s hurricane

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Jupiter’s spot

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History (2004) alpha particle

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Vortex structures One hole Two holes

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

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Logarithm of complex number (Re) dark matter

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Polarization of a light ray Photon 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

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Vortex structure of light rays Example: how we can measure the wavelength of light Diffraction on the DVD surface

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ZElementZconfiguration O81s 2 2s 2 2p 4 Oxygen the classical structure model of the water molecule H 2 O

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Element A=Z+N configuration C121s 2 2s 2 2p 2 Carbon

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atoms nucleus H He T D O CN F Ne MENDEL2010

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benzene molecule

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Ball lightning Plasma Ball MENDEL2010

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Photon MENDEL2011

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Electromagnetic field of the electron MENDEL2011

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The structure of water MENDEL2011

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The structure of the gold MENDEL2011

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Structure the of hydrogen atom

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The structure of hydrogen with one layer of the electromagnetic field

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MENDEL2011 magnetic liquid

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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 can’t 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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