1. 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

2. Main ideas and differences MENDEL2010

3. 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.

4. 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

6. Topological transformation

7. MENDEL2009

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

9. The fractal ring structure of the electron MENDEL2010

10. The fractal ring structure of the electron MENDEL2007

12. Amper‘s law Coulom‘s law

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

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

15. 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

16. neutron proton

17. for r o F max MENDEL2007

18. For E o =0 MENDEL2007

19. n=1 n=1 to 7 MENDEL2010

20. de Broglie’s equation

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

22. Quantum physics MENDEL2010

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

24. Covalent bond

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

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

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

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

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

32. Jupiter’s spot

33. History (2004) alpha particle

34. Vortex structures One hole Two holes

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

36. Logarithm of complex number (Re) dark matter

37. 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

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

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

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

41. atoms nucleus H He T D O CN F Ne MENDEL2010

42. benzene molecule

44. Ball lightning Plasma Ball MENDEL2010

45. Photon MENDEL2011

46. Electromagnetic field of the electron MENDEL2011

47. The structure of water MENDEL2011

48. The structure of the gold MENDEL2011

49. Structure the of hydrogen atom

50. The structure of hydrogen with one layer of the electromagnetic field

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

52. 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.