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Max Planck Niels Bohr  Fundamental Physical Constants
1986 Codata physical constants


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Physical Constants:

Max Planck - Niels Bohr:


Max Planck (1858 - 1947)Max Planck, Niels Bohr and many other early pioneers provide us with many fundamental physical constants which are still in use today. Max Planck was born in Kiel, Germany, on April 23, 1858, the son of Julius Wilhelm and Emma Planck. His father was Professor of Constitutional Law in the University of Kiel,  and Niels Bohr was born in Copenhagen on October 7, 1885, as the son of Christian Bohr, Professor of Physiology at Copenhagen University, and his wife Ellen.

Whilst Max Planck, Niels Bohr and many others provided these physical constants, there remains many questions still to be answered within the universe.



Niels Bohr (1885 - 1962)

 

We are only just now beginning to put some tiny pieces together but until we can find all the answers, The modern physicist will still need to use many of the accepted physical constants provided by people like Max Planck and Niels Bohr. These physical constants are often not defined from first principle techniques and are generally used to match atomic theory to the observed atom model actual physical behaviour, more information on the atomic model physical constants subject is available on our defining physical constants page.


The physical constants table below which includes the values of Max Planck and Niels Bohr constants is where you can also find out how fast is the speed of light constant and other physical constants like the fine structure constant, find physical constant data on the proton neutrons electron particles, muon magnetic moment in nuclear magnetons, permittivity of vacuum, Elementary charge, Bohr magneton in wave numbers etc and many other fundamental atomic physical constants reference data.

This physical constants data is partially derived from the 1986 CODATA recommended values of the fundamental physical constants: typographical errors are possible as the physical constants data has been reformatted. You can find the more complete physical constants information from the actual Nist website.


The Constants of Nature Redirecting Science: Niels Bohr, Philanthropy, and the Rise of Nuclear Physics Max Planck Yearbook of United Nations Law, 2006 Astrophysics, Clocks and Fundamental Constants

The Constants of Nature

Redirecting Science: Niels Bohr, Philanthropy, and the Rise of Nuclear Physics

Max Planck Yearbook of United Nations Law, 2006

Astrophysics, Clocks and Fundamental Constants


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Table of Physical Constants includes 


Max Planck Niels Bohr constants




#

Physical Constants

Symbol

Value

Units

1

Permeability of vacuum

(mu_0)

4 pi e-7 (exact)

N A-2

2

Permittivity of vacuum

(epsilon_0)

8.854187817e-12

F m-

3

Speed of light in vacuum

(c)

299792458 (exact)

m s-1

4

Newtonian constant of gravitation

(G)

6.67259e-11 ± 8.5e-15

m3 kg-1s-2

5

Max Planck ( Planck constant )

(h)

6.6260755e-34 ± 4.0e-40

J s

6

Max Planck ( Planck constant in eV )

 

4.1356692e-15 ± 1.2e-21

eV s

7

h-bar

(h-bar)

1.05457266e-34 ± 6.3e-41

J s

8

h-bar in eV

 

6.582122e-16 ± 2.0e-22

eV s

9

Boltzmann constant

(k)

1.380658e-23 ± 1.2e-28

J K-1

10

Boltzmann constant in eV

 

8.617385e-05 ± 7.3e-10

eV K-1

11

Boltzmann constant in Hz

 

20836740000 ± 180000

K-1 s-1

12

Boltzmann constant in wavenumbers

 

69.50387 ± 0.00059

m-1 K-1

13

Mass of electron

(m_e)

9.1093897e-31 ± 5.4e-37

kg

14

Mass of electron in u

 

0.000548579903 ± 1.3e-11

u

15

Mass of electron in eV

 

510999.06 ± 0.15

eV

16

Atomic mass unit

(u)

1.6605402e-27 ± 1.0e-33

kg

17

Standard acceleration of gravity

(g_n)

9.80665

m s-2

18

Standard atmosphere

(atm)

101325

Pa

19

Max Planck ( Planck mass )

(m_p)

2.17671e-08 ± 1.4e-12

kg

20

Max Planck ( Planck length )

(l_p)

1.61605e-35 ± 1.0e-39

m

21

Max Planck ( Planck time )

(t_p)

5.39056e-44 ± 3.4e-48

s

22

Elementary charge

(e)

1.60217733e-19 ± 4.9e-26

C

23

Magnetic flux quantum

(Phi_0)

2.06783461e-15 ± 6.1e-22

Wb

24

Josephson frequency voltage quotient

 

483597670000000 ± 1.4e+08

V-1 s-1

25

Quantized Hall conductance

 

3.87404614e-05 ± 1.7e-12

Omega-1

26

Quantized Hall resistance

(R_H)

25812.8056 ± 0.0012

Omega

27

Niels Bohr ( Bohr magneton )

(mu_B)

9.2740154e-24 ± 3.1e-30

J T-1

28

Niels Bohr ( Bohr magneton in eV )

 

5.78838263e-05 ± 5.2e-12

eV T-1

29

Niels Bohr ( Bohr magneton in Hz )

 

13996241800 ± 4200

T-1 s-1

30

Niels Bohr ( Bohr magneton in wave numbers )

 

46.686437 ± 1.4e-05

m-1 T-1

31

Niels Bohr ( Bohr magneton in kelvins )

 

0.6717099 ± 5.7e-06

K T-1

32

Nuclear magneton

(mu_N)

5.0507866e-27 ± 1.7e-33

J T-1

33

Nuclear magneton in eV

 

3.15245166e-08 ± 2.8e-15

eV T-1

34

Nuclear magneton in Hz

 

7622591.4 ± 2.3

T-1 s-1

35

Nuclear magneton in wavenumbers

 

0.0254262281 ± 7.7e-09

m-1 T-1

36

Nuclear magneton in kelvins

 

0.0003658246 ± 3.1e-09

K T-1

37

Fine structure constant

(alpha)

0.00729735308 ± 3.3e-10

 

38

Inverse fine structure constant

 

137.0359895 ± 6.1e-06

 

39

Rydberg constant

(Ry)

10973731.534 ± 0.013

m-1

40

Rydberg constant in Hz

 

3.2898419499e+15 ± 3.9e+06

s-1

41

Rydberg constant in joules

 

2.1798741e-18 ± 1.3e-24

J

42

Rydberg constant in eV

 

13.6056981 ± 4.0e-06

eV

43

Niels Bohr ( Bohr radius )

(a_0)

5.29177249e-11 ± 2.4e-18

m

44

Hartree energy

(E_h)

4.3597482e-18 ± 2.6e-24

J

45

Hartree energy in eV

 

27.2113961 ± 8.1e-06

eV

46

Quantum of circulation

 

0.000363694807 ± 3.3e-11

m2 s-1

47

Electron charge

(eV)

1.60217733e-19 ± 4.9e-26

J

48

Electron muon mass ratio

 

0.00483633218 ± 7.1e-10

 

49

Mass electron proton ratio  1/1836.1527

 

0.000544617013 ± 1.1e-11

 

50

Electron deuteron mass ratio

 

0.000272443707 ± 6e-12

 

51

Electron alpha-particle mass ratio

 

0.000137093354 ± 3e-12

 

52

Electron specific charge

 

-175881962000 ± -53000

C kg-1

53

Electron molar mass

 

5.48579903e-07 ± 1.3e-14

kg mol-1

54

Electron Compton wavelength

(lambda_C)

2.42631058e-12 ± 2.2e-19

m

55

Electron Compton wavelength over 2 pi

(lambda-bar_C)

3.86159323e-13 ± 3.5e-20

m

56

Electron classical radius

(r_e)

2.81794092e-15 ± 3.8e-22

m

57

Electron Thomson cross section

(sigma_e)

6.6524616e-29 ± 1.8e-35

m2

58

Electron magnetic moment

 

9.2847701e-24 ± 3.1e-30

J T-1

59

Electron magnetic moment in Bohr magnetons

 

1.001159652193 ± 1.0e-11

 

60

Electron magnetic moment in nuclear magnetons

 

1838.282 ± 3.7e-05

 

61

Electron magnetic moment anomaly

(a_e)

0.001159652193 ± 1.0e-11

 

62

Electron g-factor

(g_e)

2.002319304386 ± 2.0e-11

 

63

Electron muon magnetic moment ratio

 

206.766967 ± 3.0e-05

 

64

Electron proton magnetic moment ratio

 

658.2106881 ± 6.6e-06

 

65

Muon mass

 

1.8835327e-28 ± 1.1e-34

kg

66

Muon mass in u

 

0.113428913 ± 1.7e-08

u

67

Muon mass in eV

 

105658389 ± 34

eV

68

Muon electron mass ratio

 

206.768262 ± 3.0e-05

 

69

Muon molar mass

 

0.000113428913 ± 1.7e-11

kg mol-1

70

Muon magnetic moment

 

4.4904514e-26 ± 1.5e-32

J T-1

71

Muon magnetic moment in Bohr magnetons

 

0.00484197097 ± 7.1e-10

 

72

Muon magnetic moment in nuclear magnetons

 

8.8905981 ± 1.3e-06

 

73

Muon magnetic moment anomaly

(a_mu)

0.001165923 ± 8.4e-09

 

74

Muon g factor

(g_mu)

2.002331846 ± 1.7e-08

 

75

Muon proton magnetic moment ratio

 

3.18334547 ± 4.7e-07

 

76

Mass proton

(m_p)

1.6726231e-27 ± 1.0e-33

kg

77

Mass proton in u

 

1.00727647 ± 1.2e-08

u

78

Mass proton in eV

 

938272310 ± 280

eV

79

Proton electron mass ratio

 

1836.152701 ± 3.7e-05

 

80

Proton muon mass ratio

 

8.8802444 ± 1.3e-06

 

81

Proton specific charge

 

95788309 ± 29

C kg-1

82

Proton molar mass

 

0.00100727647 ± 1.2e-11

kg mol-1

83

Proton Compton wavelength<

(lambda_C,p)

1.32141002e-15 ± 1.2e-22

m

84

Proton magnetic moment

 

1.41060761e-26 ± 4.7e-33

J T-1

85

Proton magnetic moment in Bohr magnetons

 

0.001521032202 ± 1.5e-11

 

86

Proton magnetic moment in nuclear magnetons

 

2.792847386 ± 6.3e-08

 

87

Diamagnetic shielding correction for protons (H_2 O,spherical sample, 298.15 K)

(sigma_H2O)

2.5689e-05 ± 1.5e-08

 

88

Shielded proton moment (H_2 O, spherical sample, 298.15 K)

(mu_p')

1.41057138e-26 ± 4.7e-33

J T-1

89

Shielded proton moment in Bohr magnetons

 

0.001520993129 ± 1.7e-11

 

90

Shielded proton moment in nuclear magnetons

 

2.792775642 ± 6.4e-08

 

91

Proton gyromagnetic ratio

(gamma_p)

267522128 ± 81

T-1 s-1

92

 

(gamma_p)

42577469 ± 13

T-1 s-1

93

Proton gyromagnetic ratio, uncorrected (H_2 O, spherical sample, 298.15 K)

(gamma_p')

267515255 ± 81

T-1 s-1

94

 

(gamma_p'/2pi)

42576375 ± 13

T-1 s-1

95

Mass of a neutron

(m_n)

1.6749286e-27 ± 1.0e-33

kg

96

Mass of a neutron in u

 

1.008664904 ± 1.4e-08

u

97

Mass of a neutron in eV

 

939565630 ± 280

eV

98

Neutron-electron mass ratio

 

1838.683662 ± 4.0e-05

 

99

Proton neutron mass ratio

 

1.001378404 ± 9e-09

 

100

Neutron molar mass

 

0.001008664904 ± 1.4e-11

kg mol-1

101

Neutron Compton wavelength

(lambda_C,n)

1.3195911e-15 ± 1.2e-22

m

102

Neutron magnetic moment

 

9.6623707e-27 ± 4.0e-33

J T-1

103

Neutron magnetic moment in Bohr magnetons

 

0.00104187563 ± 2.5e-10

 

104

Neutron magnetic moment in nuclear magnetons

 

1.91304275 ± 4.5e-07

 

105

Neutron-electron magnetic moment ratio

 

0.00104066882 ± 2.5e-10

 

106

Neutron-proton magnetic moment ratio

 

0.68497934 ± 1.6e-07

 

107

Deuteron mass

(m_d)

3.343586e-27 ± 2.0e-33

kg

108

Deuteron mass in u

 

2.013553214 ± 2.4e-08

u

109

Deuteron mass in eV

 

1875613390 ± 570

eV

110

Deuteron electron mass ratio

 

3670.483014 ± 7.5e-05

 

111

Deuteron proton mass ratio

 

1.999007496 ± 6e-09

 

112

Deuteron molar mass

 

0.002013553214 ± 2.4e-11

kg mol-1

113

Deuteron magnetic moment

(mu_d)

4.3307375e-27 ± 1.5e-33

J T-1

114

Deuteron magnetic moment in Bohr magnetons

 

0.0004669754479 ± 9.1e-12

 

115

Deuteron magnetic moment in nuclear magnetons

 

0.85743823 ± 2.4e-08

 

116

Deuteron electron magnetic moment ratio

 

0.000466434546 ± 9.1e-12

 

117

Deuteron proton magnetic moment ratio

 

0.3070122035 ± 5.1e-09

 

118

Avagadro constant

(N_A)

6.0221367e+23 ± 3.6e+17

mol-1

119

Atomic mass constant

(m_u)

1.6605402e-27 ± 1.0e-33

kg

120

Atomic mass constant in eV

 

931494320 ± 280

eV

121

Faraday constant

(F)

96485.309 ± 0.029

C mol-1

122

Max Planck ( Molar Planck constant )

 

3.99031323e-10 ± 3.6e-17

J s mol-1

123

 

(N_A hc)

0.11962658 ± 1.1e-07

J m mol-1

124

Molar gas constant

(R)

8.31451 ± 7.0e-05

J mol-1 K-1

125

Molar volume (ideal gas), STP

(V_m)

0.0224141 ± 1.9e-07

m3 mol-1

126

Loschmidt constant

(n_0)

2.686763e+25 ± 2.3e+20

m-3

127

Stefan-Boltzmann constant

(sigma)

5.67051e-08 ± 1.9e-12

W m-2 K-4

128

First radiation constant

(c_1)

3.7417749e-16 ± 2.2e-22

W m2

129

Second radiation constant

(c_2)

0.01438769 ± 1.2e-07

m K

130

Wien displacement law constant

(b)

0.002897756 ± 2.4e-08

m K

131

BIPM maintained ohm, Omega_69-B1 as of 1 Jan 85

(Omega_B185)

1-1.563e-6 ±; 5.0e-08

Omega

132

Drift rate of Omega 69-B1

(dOmega_69-B1/dt)

-0.0566 ±; -0.0015

muOmega/yr

133

BIPM maintained volt 483 694 GHz(h/2e)

(V_76-B1)

1-7.59e-6 ±; 3.0e-07

V

134

BIPM maintained ampere A_BIPM

(A_B185)

1-6.03e-6 ±; 3.0e-07

A

135

Cu x-unit: (xu(CuKalpha1))

 

1.00207789e-13 ±; 7.0e-20

m

136

Mo x-unit: (xu(MoKalpha1))

 

1.00209938e-13 ±; 4.5e-20

m

137

AA *: (AAngstrom-star)

 

1.00001481e-10 ±; 9.2e-17

m

138

Lattice spacing of Si (in vacuum, 295.65 K)

(a)

5.4310196e-10 ±; 1.1e-16

m

139

Lattice spacing Si (220) plane

(d_220)

1.9201554e-10 ±; 4.0e-17

m

140

Molar volume of Si

(V_m(Si))

1.20588179e-05 ±; 8.9e-12

m3 mol-1

Table of the Fundamental Physical Constants

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