Florian Ion PETRESCU\’s Books and Publications Spotlight
January 30, 2011
Florian Ion PETRESCU\’s Books and Publications Spotlight.
http://www.lulu.com/spotlight/petrescuflorian
First Book:
THE DESIGN OF GEARINGS WITH HIGH EFFICIENCY
Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements; the gearing mechanisms are found today everywhere: in the industry of machinery construction, in energy industry, in aeronautics and aerospace, in electronics& Electrical, in oil industry, in mechatronics and robotics, etc. In this context this book attempts to bring a contribution to science and technology applied in the kinematic and dynamic analysis and synthesis of mechanisms with gearings. The book presents an original method to determine the efficiency of the gearing; the originality of this method relies on the eliminated friction modulus. With the relations presented in this paper, one can synthesize the gear’s mechanisms; the best efficiency can be obtained with the internal gearing when the drive wheel 1 is the ring.
An Atomic Model or A New Quantum Theory – About Negative Mass
January 15, 2011
An Atomic Model or A New Quantum Theory – About Negative Mass.
A New Quantum Theory
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I searched the electron radius on the net but I found a rather large value, re=2.8*10-15 [m] so
we calculated it and I and I found: re=7*10-16 [m],
Nucleus radius: rn=1-7*10-15 [m]
Proton radius: rp=1*10-15 [m]
p.MsoNormal, li.MsoNormal, div.MsoNormal { margin: 0cm 0cm 0.0001pt; font-size: 10pt; font-family: “Times New Roman”; }div.Section1 { page: Section1; }This paper presents shortly a new and original relation (18) to calculate the radius with that, the electron is running around the nucleus of an atom. One utilizes two times the Lorentz relation (5), the Niels Bohr generalisate equation (7), and a mass relation (4) which was deduced from the kinematics energy relation written in two modes: classical (1) and coulombian (2). Equalizing the mass relation (4) with Lorentz relation (5) one obtains the equation (6), which give us a relation between the electron speed square (v2) and the radius (r). The second relation (8), between v2 and r, has been obtained by equalizing the mass from Bohr’s equation (7) with the mass from Lorentz’s relation (5). In the system (8) – (6) eliminating the electron speed square (v2), one determines the radius r, with that, the electron is moving around the nucleus; see the relation (18). The author realize by this a new atomic model, or a new quantum theory.
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In my opinion the gravitational field behaves like the magnetic and electric field.
Matter is configured in such a way as the negative mass to coexist with the positive mass. Although they are distributed equally positive and negative mass are configured differently order to support different electrical charges. Negative mass is one that draws positive masses and vice versa, the positive mass attracts negative masses.
In these conditions the generalized relativity theory can no longer be valid. The space in which we live, straight or curved, there is bound to create a temporary slide to attracts us.
Beam or ionic engines
New Doppler
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A NEW ATOMIC MODEL
Florian Ion PETRESCU 1
1 Chair TMR, Bucharest Polytechnic University, ROMANIA, petrescuflorian@yahoo.com
Abstract: This paper presents shortly a new and original relation (18) to calculate the radius with that the electron is running around the nucleus of an atom. One utilizes two times the Lorentz relation (5), the Niels Bohr generalized equation (7), and a mass relation (4) which was deduced from the kinematics energy relation written in two modes: classical (1) and coulombian (2). Equalizing the mass relation (4) with Lorentz relation (5) one obtains the equation (6), which give us a relation between the electron speed square (v2) and the radius (r). The second relation (8), between v2 and r, has been obtained by equalizing the mass from Bohr’s equation (7) and the mass from Lorentz’s relation (5). In the system (8) – (6) eliminating the electron speed square (v2), one determines the radius r, with that, the electron is moving around the nucleus; see the relation (18). The author realizes by this a new atomic model, or a new quantum theory.
Key words: Atom, atomic, electron, nucleus, quantum, radius, energy, below levels, layer, cloud.
1. Introduction
In this paper the author determine a new relation for calculating the radius with that the electron is running around the nucleus of an atom. In this mode the author realizes a new theoretical atomic model.
2. The new relations
Writing the kinematics energy relation in two ways, classical (1) and Coulombian (2) one determines the relation (3):
EC=1/2mv2 (1)
EC=Ze2/(8pe0r) (2)
mv2=Ze2/(4pe0r) (3)
From equation (3), determining explicit the mass of the electron, one obtains the relation (4):
m=Ze2/(4pe0v2r) (4)
Now, we write the known relation of Lorentz (5), for the mass of a corpuscle, in function of the corpuscle speed, at the power two:
m=m0c/RAD with RAD=(c2-v2)1/2 (5)
With the relations (4) and (5) one obtains the first essential expression (relation 6):
m0c/RAD= Ze2/(4pe0v2r) (6)
One utilizes now, the Niels Bohr generalized relation (7):
m=n2e0h2/(pre2Z) (7)
One utilizes for the second time the Lorentz relation (5), with the Bohr relation (7) and in this mode one obtains the second essential expression (relation 8):
m0c/RAD= n2e0h2/(pre2Z) (8)
Now, on keep just the two essential expressions (the relations 6 and 8).
One writes (8) in the form (8’):
RAD n2e0h2=pr m0c e2Z (8’)
One put the form (8’) at the power two, to explicit the speed of electron at power two (v2), see the equation (9):
v2=(n4e02h4-p2r2m02e4Z2)c2/(n4e02h4) (9)
The equation (9) can be written in the form (10):
v2=c2-kc2r2 (10)
where the constant k take the form (10’):
k=p2m02e4Z2)/(n4e02h4) (10’)
Now one writes the essential equation (6) in the form (6’):
4m0cpe0rv2=Ze2RAD (6’)
Then, one squares the equation (6’), and obtains the relation (6’’):
16m02c2p2e02r2v4=Z2e4RAD (6’’)
In the relation (6’’) one introduces the squared electron speed, taken from the equation (10) and it obtains the formula (11):
16m02p2e02(c2-kc2r2)2=Z2e4k (11)
The relation (11) can be written in the form (12):
(c2-kc2r2)2=Z2e4k/(16m02p2e02) (12)
One squares the relation (12) and it obtains the expression (13):
(c2-kc2r2)=±Ze2k1/2/(4m0pe0) (13)
The relation (13) can be written in the form (14):
kc2r2= c2±Ze2k1/2/(4m0pe0) (14)
One explicit the squared radius (r2), from the relation (14) and one obtains the equation (15):
r2=1/k±Ze2/(4m0pe0k1/2c2) (15)
Now, one exchanges, in the relation (15), the constant k with the expression (10’) and it obtains the equation (16):
r2=n4e02h4/(p2m02e4Z2)±n2h2/(4p2m02c2) (16)
The expression (16) can be put in the form (17):
r2=n4e02h4/(p2m02e4Z2).[1±e4Z2/(4c2e02h2n2)] (17)
Extracting square root from the expression (17), one obtains for the radius (r), the final expression (18) (Physically, there is only the positive solution for r, and from the four solutions of radius r, remain only one solutions):
r=n2e0h2/(pm0e2Z).[1-e4Z2/(4c2e02h2n2)]1/2 (18)
3. Notes utilized
The permissive (permittivity) constant:
e0=8.85418*10-12 [C2/(Nm2)];
The Planck constant: h=6.626*10-34 [J.s];
The rest mass of electron: m0=9.1091*10-31 [kg];
The Pythagoras’s constant: p=3.141592654;
The elementary electrical load: e=-1.6021*10-19 [C];
The light speed in vacuum: c=2.997925*108 [m/s];
n=the principal quantum number (the Bohr quantum number);
Z=the number of protons from the atomic nucleus (the atomic number).
©2010 Florian Ion PETRESCU – An Atomic Model and Some Possible Applications
© 2010 Florian Ion PETRESCU – Quantum Field and LASER Field
