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Articles and Publication    Mathematics, calculation, statistic CALCULATION OF FUNDAMENTAL CONSTANTS: NEW ACCURATY VALUES OF CONSTANTS.

CALCULATION OF FUNDAMENTAL CONSTANTS: NEW ACCURATY VALUES OF CONSTANTS.

© Dr. Nikolay Kosinov

E-mail: kosinov@unitron.com.ua

New calculated values of important fundamental physical constants are shown below. They are received on the base of only four experimental constants c, h, α, R8 and Number π:

  1. Speed of light in a vacuum c (c=2,99 792 458 •108 ms-1 )
  2. Planck constant h (h=6,626 06876(52) •10-34 Js)
  3. Fine-structure constant α (α =7,297352533(27) •10-3 )
  4. Rydberg constant R8, (R8,=10 973 731,568549(83) m-1 )
  5. Number π (π =3,14159265358979… )

Values of constants c, h, α, R8 are taken out from the list CODATA 1998. They are the most modern achievements in physics.

To get other fundamental physical constants (including Newtonian constant of gravitation (G), Hubble constant (H) and other) we don’t need more then five constants, only c, h, α, R8, π ..

For example:

1. Calculated value of the Newtonian constant of gravitation G has 9 digits:

G = 6,67286742(94) • 10-11 m3 kg-1 s-2.

CODATA recommended value of the Newtonian constant of gravitation G (1998) has only 4 digits:

G = 6,673(10) •10-11 m3 kg-1 s-2.

2. Calculated value of the electron mass me equal:

me = 9,10938186(85) •10-31 kg.

CODATA recommended value of the electron mass (1998) equal:

me = 9,10938188(72) •10-31 kg.

3. Calculated value of the Planck length lpl equal:

lpl = 1,616081388(51) •10-35 m.

CODATA recommended value of the Planck length (1998) equal:

lpl = 1,6160(12) •10-35 m.

4. Calculated value of the Planck mass mpl equal:

mpl = 2,17666772(25) •10-8 kg.

CODATA recommended value of the Planck mass (1998) equal:

mpl = 2,1767(16) •10-8 kg.

5. Calculated value of the Planck time tpl equal:

tpl = 5,39066726(17) •10-44 s.

6. Calculated value of the deuteron-electron mass ratio md/me equal:

md/me = 3670.47802(55).

7. Calculated value of the Hartree energy: Eh= 4,35974381(54) •10-18 J.

CODATA recommended value of the Hartree energy (1998) equal: Eh= 4,35974381(34) •10-18 J.

8. Calculated value of the Bohr magneton: μB = 9,27400899(55) •10-24 JT-1.

CODATA recommended value of the Bohr magneton (1998): μB = 9,27400899(37) •10-24 JT-1.

9. Calculated value of the magnetic flux quantum: Φo= 2,067833636(91) •10-15 Wb.

CODATA recommended value of the magnetic flux quantum: Φo = 2,067833636(81) •10-15 Wb.

10. Calculated value of the Hubble parameter: H= 1,749531663(89) •10-18 s-1.

11. Calculated value of the temperature in atomic nucleus: Tu= 5,929889(21) •109 K.

12. Calculated value of the elementary charge e equal: e = 1,602176462(67)•10-19 C .

CODATA recommended value of the elementary charge e (1998) equal:e = 1,602176462(63)•10-19 C. Values of constants G, mpl, lpl, tpl, got by calculation, instead of 4 -5 digits have 9 - 10 digits.

They are more exact then recommended fundamental physical constants by CODATA 1998.

Other constants have been received by calculation, for example Eh, μB, me, e, Ôo are also extremely exact. They are equal in all digits with recommended values of CODATA 1998.

Calculated values of important fundamental constants and recommended values of the same constants (CODATA 1998) are shown in table:

Name

Symbol

Value (CODATA 1998)

Calculated value

Newtonian constant of gravitation

G

6,673(10) •10-11 m3 kg-1 s-2

6,67286742(94)•10-11 m3kg-1 s-2

Planck mass

mol

2,1767(16) •10-8 kg

2,17666772(25)•10-8 kg

Planck length

lpl

1,6160(12) •10-35 m

1,616081388(51)•10-35 m

Planck time

tpl

5,3906(40) •10-44 s

5,39066726(17)•10-44 s

Electron mass

me

9,10938188(72)•10-31 kg

9,10938186(85)•10-31 kg

Elementary charge

e

1,602176462(63)•10-19 C

1,602176462(67)•10-19 C

Compton wavelength

λC

2,426310215(18)•10-12 m

2,426310215(44)•10-12 m

Hartree energy

Eh

4,35974381(34)•10-18 J

4,35974381(54)•10-18 J

Bohr magneton

μB

9,27400899(37)•10-24 J/T

9,27400899(55)•10-24 J/T

Magnetic flux quantum

Ôo

2,067833636(81)•10-15 Wb

2,067833636(91)•10-15 Wb

Electron charge to mass quotient

-e/me

-1,758820174(71)•1011 C/kg

-1,758820176(89)•1011 C/kg

Hubble constant

H

--

53,98561(87) (km/s)/Mps

Deuteron-electron mass ratio

md/me

3670,482955(08)

3670,47802(55)

Calculation of Fundamental Constants it is possible to find at Web site:

You could find formulas for calculation of fundamental physical constants in Website:

Publishing date: August 29, 2001
Source: SciTecLibrary.ru

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