# QUANTUM MODEL OF HYDROGEN ATOM prof. Ing. Pavel Ošmera, CSc. Brno University of Technology September 14-16, 2011 5th Meeting on Chemistry.

## Presentation on theme: "QUANTUM MODEL OF HYDROGEN ATOM prof. Ing. Pavel Ošmera, CSc. Brno University of Technology September 14-16, 2011 5th Meeting on Chemistry."— Presentation transcript:

QUANTUM MODEL OF HYDROGEN ATOM prof. Ing. Pavel Ošmera, CSc. Brno University of Technology osmera @fme.vutbr.cz September 14-16, 2011 5th Meeting on Chemistry and Life 2011

Main ideas and differences MENDEL2010

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 V B at the drain hole of bath-tub, b) the vortex tornado-vortex V T 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/online.itp.ucsb.edu/online/atto06/mauritsson/

The fractal ring structure of the electron MENDEL2010

The fractal ring structure of the electron MENDEL2007

Amper‘s law Coulom‘s law

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

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

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

neutron proton

for r o F max MENDEL2007

For E o =0 MENDEL2007

n=1 n=1 to 7 MENDEL2010

de Broglie’s equation

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

Quantum physics MENDEL2010

r 1 = 0.7223517245r o ~ 0.382Å, r 2 = 1.792517214r o ~ 0.948Å the couple constant α

Covalent bond

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

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/ serve.me.nus.edu.sg/limtt/

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

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

Jupiter’s 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 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

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

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

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

atoms nucleus H He T D O CN F Ne MENDEL2010

benzene molecule

Ball lightning Plasma Ball MENDEL2010

Photon MENDEL2011

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