quantum model of hydrogen atom prof. ing. pavel ošmera, csc. brno university of technology osmera...
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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 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 electron
MENDEL2010
The fractal ring structure of the electron
MENDEL2007
2
2
2
2 2 N
r
v
N
mNFF
e
eeaoa
NrNr
r
veFF
e
e
e
oooA
2
2
4222
22
22
Aa FF
NrNr
r
veN
r
v
N
m
e
e
e
oo
e
ee
2
2
422
2
222
222
2
2
2
2
4 e
o
e
oe v
v
m
er
2
cvv eo
mm
er
e
oe
152
2
1089.04
22
2 1
8 ee
oe vm
er
MENDEL2007
NrN
r
Nr
vNe
NrN
r
r
vqF
e
e
e
oo
e
e
oe
oooA
2
2
422
2
42 22
22
22
221
2
2
24
N
r
N
e
Fe
o
oC
oCoA FF
2
2
22
22
24
2
2
42
Nr
Ne
NrNr
Nr
vNe
eo
e
e
e
oo
22
1 22 c
voo
o 2
cvo
Amper‘s law Coulom‘s law
2cmE eoo
0 evv2
543
cvvvvo
25255
4244
3233
222 2
1
2
1
2
1
2
1cmNv
N
mNv
N
mNv
N
mNv
N
mE eo
eoeoeoo
eoo
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
026)1(3 36222232 oo dnddnd
n=7
MENDEL2010
MENDEL2007
n=1
n=1
eVh
emE
o
eio 6.13
8 22
4
eVeVE
E ior 36.1
6.1322
The line spectrum of hydrogen atom
Perhaps the decreasing width Δλ2n of spectrum lines (as Δλ23 = λa - λb) depends on energy Eio and kinetic energy Er . This energy can vary in the interval {Ea, Eb} for {λa, λb} and ΔEλ = Eb - Ea = Eio/(20π2) = Er /20 = 0.069eV (for n1=2 a different size n2>n1). It can be caused by precession of the electron. λa λb
λa λb
MENDEL2010
neutron proton
4
22
2
2
exp2
2
4
1
4
1
4 r
re
r
e
r
A
r
eFFF o
ooo
4
2
2
2 1
4 r
r
r
eFFF o
o
2
2
3
2
5
2
3
2 21
2
42
4 r
r
r
e
r
r
r
e
dr
dF o
o
o
o
for ro
ooo
Kr
e
dr
dF 3
2
4
orr 22,1 Fmax
MENDEL2007
3
22
4
2
2
2
4
2
2
2
3
1
4
1
4
1
4 r
r
r
edr
r
r
r
edr
r
r
r
eE o
o
o
o
o
o
3
22
3
22
4
2
2
2
3
1
43
1
4
1
4 r
r
r
e
r
r
r
edr
r
r
r
eE o
or r
o
o
o
oo
mr
r oEo
111005.33
For Eo=0
eVr
e
r
e
r
r
r
eE
ooooo
o
ooo 13.18
1
63
21
43
1
4
22
3
22
eVeVr
eE
oo
13.183
22.27
3
21
4
2
min
Hzm
Kf
e
oo
14103.92
1
sf
To
o1510075.1
1
ooo
Kr
e
dr
dF
3
2
4
MENDEL2007
3
22
4
2
2
2
4
2
2
2
3
1
4
1
4
1
4 r
r
r
edr
r
r
r
edr
r
r
r
eE o
o
o
o
o
o
3
22
3
22
4
2
2
2
3
1
43
1
4
1
4 r
r
r
e
r
r
r
edr
r
r
r
eE o
or r
o
o
o
oo
4
24
2
2
4
24
2
2
4
2
2
2
11
4
1
4
1
4 d
dn
d
e
d
dn
d
e
d
dn
d
eFFF o
o
o
o
on
on
2
242
3
242
3
22
31
1
43
1
43
1
4 d
dn
d
e
d
dn
d
e
d
dn
d
eEE o
o
o
o
on
oinn
4
2
2
2 1
4 r
r
r
eFFF o
o
ond odn2
n=1
n=1
n=1 to 7
MENDEL2010
de Broglie’s equation
)( eee vrmS
22
1 hvr
N
mNS ee
ez
nre 22 2
2n
re
4er
22
1
4
hvmvr
N
mNS eeee
ez
eevm
h
)( eee vrmS
eee
z vrN
mNS
20
2
2 1
8 eee vm
er
h
eve
0
2
2
2
20
4
220
2
02
2
20
2
2
2
4
8
1
8 em
h
e
h
m
e
vm
er
eeeee
se
eeeez mh
em
h
h
emrvmS
2
1
22
1
22 2
20
0
2
2
1sm
ISM z
e
e
v
rT
2
e
e
e
e r
ve
v
r
NN
e
TQ
I
2
12
2
2erS
Be
zee
ee
e
ez m
eS
m
e
m
mr
r
veISM
2
12
The spin of the electron
Magnetic momentum Mz
μB is Bohr magneton
2
2
2
2
4 e
o
e
oe v
v
m
er
eeeeoee
o
e
o
e
oe vm
hnn
vm
e
v
c
m
e
v
v
m
er
2
1
2
1
44422
2
2
2
22
2
2
2
2
nhv
e
eo
1
2
2
2
2
1eer vmE
h
e
nv
oen 2
1 2
222
4
22
8
1
2
1
h
em
nvmE
o
eenern
eVh
emE
o
eio 6.13
8 22
4
112
2
1029.5 em
hrd
e
oBo
2
cvo
Quantum physics
eVeVE
E ior 36.1
6.1322
18
1
4
3
3
21
48
16.13
1 2
222
4
22
2
22
4
22
h
em
ndn
e
h
em
neV
nE
o
e
ooo
eno
onoen ddnr22
2
oe dr2
enr
enr
eeee me
hn
e
hn
m
e
vm
e2
20
2
4
220
22
02
2
20
2
2
2
4
8
1
8
MENDEL2010
2
22
2
22
222 em
hn
em
hndr
e
o
e
oonen
0263 323 oo rrrr
r1 = 0.7223517245ro ~ 0.382Å,
r2 = 1.792517214ro ~ 0.948Å
on En
E2
1
h
ev
oe 2
2
max 1371
max
ev
c
the couple constant α
4
2
2
2
4 r
r
r
nneFFF ope
o
02
4 4
2
2
2
r
r
r
eF o
o
mr
r oc
111075.32
mrd ccp11105.72 mrd op
11106.102
Covalent bond
221
112
1122
NNr
NNN
NrNTp e
eoe
mNN
rp e 15
21 1000693.011
mTDpD oeoeC15
11 100996.022
122 CNDp mND
p C 1512 10666.0
2
mDpD Cph15
12 10232.12
mD
R phph
1510616.02
oeNDp 32
mND
p oe 153 10290.0
2
mDDpD oeCC15
132 10736.022
mDDD phCp15
2 1070.22
mD
R pp
151035.12
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/
Examples of spiral structures: a), b) galaxies, c), d) the Earth’s hurricane
Jupiter’s spot
History (2004)
alpha particle
Vortex structuresOne 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 rays
Example: how we can measure the wavelength of light
Diffraction on the DVD surface
ZElement Z configuration
O 8 1s22s22p4
Oxygen
the classical structure model of the water molecule H2O
Element A=Z+N configuration
C 12 1s22s22p2
Carbon
atoms
nucleus
H He T
D
O C N
F
Ne
MENDEL2010
benzene molecule
Ball lightning
Plasma Ball
MENDEL2010
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 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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