5. STEADY ORBIT of an ELECTRON (ORBIT of the BOHR)

 

By the formulas (13) and (15) previous chapter we shall take advantage for calculation of atom of Hydrogenium and for this purpose them again we shall put:

r₀=(m_ea²)/e² (1),

E_(tie.e)=-e⁴/(2m_ea²) (2).

To find radius of orbit of the Bohr, we shall discover a² from (1) and (2) and we shall equate them each other. Then we shall receive:

r₀=e²/2E_tie (3). Now it is possible to take advantage of tabulared values of a charge of an electron (4.80286×10^-10 un. CGSE) and electron-binding energy with a positive proton in atom of Hydrogenium - ionization energy (13.598 eV or 13.598×1.60206×10^-12=0.2178×10^-10 ergs), then from the formula (3) radius of orbit of the Bohr will be peer r₀=0.5296×10^-8 cm. Tabulared value of radius of orbit of the Bohr r₀(tab)=0.529173×10^-8 cm. From (1) now easily we shall discover value a for an electron, allowing tabulared value of electronic mass (m_e=9.1086×10^-28 g): a=Vr₀=1.1576 cm²/sec, whence orbital velocity of an electron will be peer V=a/r₀=2.1876×10⁸ cm/sec. If we compare speed of light c=2.9979×10¹⁰ cm/sec with speed of orbital motion of an electron, we shall see that last in 137.0406 times less. This value is called as a fine structure constant and too is mark by the a character (do not confuse with a=Vr₀). Its tabulared value 137.0371 is a non-dimensional value and very is favourite by official physics because with it it is possible to make whatever acceptable. Why it just such nobody knows, and we learn it later.

Now we shall count up angular momentum of an electron (moment of momentum) on orbit of the Bohr (L_B):

L_B=m_eVr₀ (4). In (4) all indispensable parameters we already know, we shall substitute their numerical values and we shall receive: L_B=1.05448×10^-27 g×cm²×sec^-1=1.05448×10^-27 ergs×sec. This value is called as a constant of the Planck and is mark:

=h/2p (5), where h too is called as a constant of the Planck. Tabulared value of a constant of the Planck =1.05443×10^-27 ergs×sec. Official physics specially does not call a constant of the Planck  as moment of momentum of an electron, since considers, that this moment for an electron is peer not , and /2 and calls its �spin�. It is connected that the theorists finally have got confused in own fabrications, and it is necessary how to link both ends meet. Further we shall see, that �spin� of all fundamental particles except for some is identical and is peer , i.e. there is no synthetic separation of particles on fermions having half-integer �spin� and bosons, having zero or whole �spin�. Naturally, that are erratic also bound with it numerous scientific gamble around of fermions and bosons.

To complete consideration of properties of orbit of the Bohr, we shall count up, to that the magnetic moment of orbit is peer, which one arises at motion of a charged particle on a closed trajectory. A magnetic moment of a contour with a current total under the formula:

P_m=IS/c (6), where I=e/T, I - current, e - charge of an electron, T=2pr₀/V - orbital period, S=pr₀² - area of a contour, c - speed of light (in this case it call as an electrodynamic constant, bound with selection system of units). By substituting these data in (6), we shall discover a magnetic moment orbit of the Bohr:

P_B=eVr₀/2c (7). If in (7) to substitute angular momentum of an electron =m_eVr₀, we shall receive expression, which one coincides with official and is called as a magneton of the Bohr (m₀):

m₀=e/2m_ec (8). Numerical value m₀=0.92731×10^-20 ergs× gauss^-1, gauss - unit of a magnetic induction.

The electrostatic forces urge electrons to be attracted to a nucleus of atom, the gravity urge space bodies to be attracted to each other. Why they do not drop against each other? The official science can not answer this simple problem. New physics is strict respect the fundamental laws of the nature, in particular, law of conservation of angular momentum, therefore angular momentum can not arise anywhere and to fade it is not known where. But at an electron motion on atomic orbits or orbital motion of space bodies we is observed presence of angular momentum of these bodies. Therefore, angular momentum these bodies had and in a free condition before formation of a bound system. Differently law of conservation of angular momentum will be disturbed. Whence angular momentum arises for free bodies we learn from the following chapter.