3.091 Table of Fundamental Physical Constants

This data is derived from the 1986 CODATA recommended values of the fundamental physical constants. It is not intended to be an authoritative source: typographical errors are possible and the data has been reformatted. You can find the more complete information from the NIST at http://physics.nist.gov/PhysRefData/codata86/codata86.html.

#
Constant
Symbol
Value
Units
1
 Speed of light in vacuum (c)
299792458
 m s-1
2
 Permeability of vacuum (mu_0)
1.25663706143592e-06
 N A-2
3
 Permittivity of vacuum (epsilon_0)
8.854187817e-12
 F m-1
4
 Newtonian constant of gravitation (G)
6.67259e-11 ± 8.5e-15
 m3 kg-1 s-2
5
 Planck constant (h)
6.6260755e-34 ± 4.0e-40
 J s
6
 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
 Planck mass (m_p)
2.17671e-08 ± 1.4e-12
 kg
10
 Planck length (l_p)
1.61605e-35 ± 1.0e-39
 m
11
 Planck time (t_p)
5.39056e-44 ± 3.4e-48
 s
12
 Elementary charge (e)
1.60217733e-19 ± 4.9e-26
 C
13
 Magnetic flux quantum (Phi_0)
2.06783461e-15 ± 6.1e-22
 Wb
14
 Josephson frequency-voltage quotient  
483597670000000 ± 1.4e+08
 V-1 s-1
15
 Quantized Hall conductance  
3.87404614e-05 ± 1.7e-12
 Omega-1
16
 Quantized Hall resistance (R_H)
25812.8056 ± 0.0012
 Omega
17
 Bohr magneton (mu_B)
9.2740154e-24 ± 3.1e-30
 J T-1
18
 Bohr magneton in eV  
5.78838263e-05 ± 5.2e-12
 eV T-1
19
 Bohr magneton in Hz  
13996241800 ± 4200
 T-1 s-1
20
 Bohr magneton in wavenumbers  
46.686437 ± 1.4e-05
 m-1 T-1
21
 Bohr magneton in kelvins  
0.6717099 ± 5.7e-06
 K T-1
22
 Nuclear magneton (mu_N)
5.0507866e-27 ± 1.7e-33
 J T-1
23
 Nuclear magneton in eV  
3.15245166e-08 ± 2.8e-15
 eV T-1
24
 Nuclear magneton in Hz  
7622591.4 ± 2.3
 T-1 s-1
25
 Nuclear magneton in wavenumbers  
0.0254262281 ± 7.7e-09
 m-1 T-1
26
 Nuclear magneton in kelvins  
0.0003658246 ± 3.1e-09
 K T-1
27
 Fine structure constant (alpha)
0.00729735308 ± 3.3e-10
  
28
 Inverse fine structure constant  
137.0359895 ± 6.1e-06
  
29
 Rydberg constant (Ry)
10973731.534 ± 0.013
 m-1
30
 Rydberg constant in Hz  
3.2898419499e+15 ± 3.9e+06
 s-1
31
 Rydberg constant in joules  
2.1798741e-18 ± 1.3e-24
 J
32
 Rydberg constant in eV  
13.6056981 ± 4.0e-06
 eV
33
 Bohr radius (a_0)
5.29177249e-11 ± 2.4e-18
 m
34
 Hartree energy (E_h)
4.3597482e-18 ± 2.6e-24
 J
35
 Hartree energy in eV  
27.2113961 ± 8.1e-06
 eV
36
 Quantum of circulation  
0.000363694807 ± 3.3e-11
 m2 s-1
37
 Electron mass (m_e)
9.1093897e-31 ± 5.4e-37
 kg
38
 Electron mass in u  
0.000548579903 ± 1.3e-11
 u
39
 Electron mass in eV  
510999.06 ± 0.15
 eV
40
 Electron-muon mass ratio  
0.00483633218 ± 7.1e-10
  
41
 Electron-proton mass ratio  
0.000544617013 ± 1.1e-11
  
42
 Electron-deuteron mass ratio  
0.000272443707 ± 6e-12
  
43
 Electron-alpha-particle mass ratio  
0.000137093354 ± 3e-12
  
44
 Electron specific charge  
-175881962000 ± -53000
 C kg-1
45
 Electron molar mass  
5.48579903e-07 ± 1.3e-14
 kg mol-1
46
 Electron Compton wavelength (lambda_C)
2.42631058e-12 ± 2.2e-19
 m
47
 Electron Compton wavelength over 2 pi (lambda-bar_C)
3.86159323e-13 ± 3.5e-20
 m
48
 Electron classical radius (r_e)
2.81794092e-15 ± 3.8e-22
 m
49
 Electron Thomson cross section (sigma_e)
6.6524616e-29 ± 1.8e-35
 m2
50
 Electron magnetic moment  
9.2847701e-24 ± 3.1e-30
 J T-1
51
 Electron magnetic moment in Bohr magnetons  
1.001159652193 ± 1.0e-11
  
52
 Electron magnetic moment in nuclear magnetons  
1838.282 ± 3.7e-05
  
53
 Electron magnetic moment anomaly (a_e)
0.001159652193 ± 1.0e-11
  
54
 Electron g-factor (g_e)
2.002319304386 ± 2.0e-11
  
55
 Electron-muon magnetic moment ratio  
206.766967 ± 3.0e-05
  
56
 Electron-proton magnetic moment ratio  
658.2106881 ± 6.6e-06
  
57
 Muon mass  
1.8835327e-28 ± 1.1e-34
 kg
58
 Muon mass in u  
0.113428913 ± 1.7e-08
 u
59
 Muon mass in eV  
105658389 ± 34
 eV
60
 Muon-electron mass ratio  
206.768262 ± 3.0e-05
  
61
 Muon molar mass  
0.000113428913 ± 1.7e-11
 kg mol-1
62
 Muon magnetic moment  
4.4904514e-26 ± 1.5e-32
 J T-1
63
 Muon magnetic moment in Bohr magnetons  
0.00484197097 ± 7.1e-10
  
64
 Muon magnetic moment in nuclear magnetons  
8.8905981 ± 1.3e-06
  
65
 Muon magnetic moment anomaly (a_mu)
0.001165923 ± 8.4e-09
  
66
 Muon g-factor (g_mu)
2.002331846 ± 1.7e-08
  
67
 Muon-proton magnetic moment ratio  
3.18334547 ± 4.7e-07
  
68
 Proton mass (m_p)
1.6726231e-27 ± 1.0e-33
 kg
69
 Proton mass in u  
1.00727647 ± 1.2e-08
 u
70
 Proton mass in eV  
938272310 ± 280
 eV
71
 Proton-electron mass ratio  
1836.152701 ± 3.7e-05
  
72
 Proton-muon mass ratio  
8.8802444 ± 1.3e-06
  
73
 Proton specific charge  
95788309 ± 29
 C kg-1
74
 Proton molar mass  
0.00100727647 ± 1.2e-11
 kg mol-1
75
 Proton Compton wavelength (lambda_C,p)
1.32141002e-15 ± 1.2e-22
 m
76
 Proton magnetic moment  
1.41060761e-26 ± 4.7e-33
 J T-1
77
 Proton magnetic moment in Bohr magnetons  
0.001521032202 ± 1.5e-11
  
78
 Proton magnetic moment in nuclear magnetons  
2.792847386 ± 6.3e-08
  
79
 Diamagnetic shielding correction for protons (H_2 O, spherical sample, 298.15 K) (sigma_H2O)
2.5689e-05 ± 1.5e-08
  
80
 Shielded proton moment (H_2 O, spherical sample, 298.15 K) (mu_p')
1.41057138e-26 ± 4.7e-33
 J T-1
81
 Shielded proton moment in Bohr magnetons  
0.001520993129 ± 1.7e-11
  
82
 Shielded proton moment in nuclear magnetons  
2.792775642 ± 6.4e-08
  
83
 Proton gyromagnetic ratio (gamma_p)
267522128 ± 81
 T-1 s-1
84
 (gamma_p)
42577469 ± 13
 T-1 s-1
85
 Proton gyromagnetic ratio, uncorrected (H_2 O, spherical sample, 298.15 K) (gamma_p')
267515255 ± 81
 T-1 s-1
86
 (gamma_p'/2pi)
42576375 ± 13
 T-1 s-1
87
 Neutron mass (m_n)
1.6749286e-27 ± 1.0e-33
 kg
88
 Neutron mass in u  
1.008664904 ± 1.4e-08
 u
89
 Neutron mass in eV  
939565630 ± 280
 eV
90
 Neutron-electron mass ratio  
1838.683662 ± 4.0e-05
  
91
 Neutron-proton mass ratio  
1.001378404 ± 9e-09
  
92
 Neutron molar mass  
0.001008664904 ± 1.4e-11
 kg mol-1
93
 Neutron Compton wavelength (lambda_C,n)
1.3195911e-15 ± 1.2e-22
 m
94
 Neutron magnetic moment  
9.6623707e-27 ± 4.0e-33
 J T-1
95
 Neutron magnetic moment in Bohr magnetons  
0.00104187563 ± 2.5e-10
  
96
 Neutron magnetic moment in nuclear magnetons  
1.91304275 ± 4.5e-07
  
97
 Neutron-electron magnetic moment ratio  
0.00104066882 ± 2.5e-10
  
98
 Neutron-proton magnetic moment ratio  
0.68497934 ± 1.6e-07
  
99
 Deuteron mass (m_d)
3.343586e-27 ± 2.0e-33
 kg
100
 Deuteron mass in u  
2.013553214 ± 2.4e-08
 u
101
 Deuteron mass in eV  
1875613390 ± 570
 eV
102
 Deuteron-electron mass ratio  
3670.483014 ± 7.5e-05
  
103
 Deuteron-proton mass ratio  
1.999007496 ± 6e-09
  
104
 Deuteron molar mass  
0.002013553214 ± 2.4e-11
 kg mol-1
105
 Deuteron magnetic moment (mu_d)
4.3307375e-27 ± 1.5e-33
 J T-1
106
 Deuteron magnetic moment in Bohr magnetons  
0.0004669754479 ± 9.1e-12
  
107
 Deuteron magnetic moment in nuclear magnetons  
0.85743823 ± 2.4e-08
  
108
 Deuteron-electron magnetic moment ratio  
0.000466434546 ± 9.1e-12
  
109
 Deuteron-proton magnetic moment ratio  
0.3070122035 ± 5.1e-09
  
110
 Avagadro constant (N_A)
6.0221367e+23 ± 3.6e+17
 mol-1
111
 Atomic mass constant (m_u)
1.6605402e-27 ± 1.0e-33
 kg
112
 Atomic mass constant in eV  
931494320 ± 280
 eV
113
 Faraday constant (F)
96485.309 ± 0.029
 C mol-1
114
 Molar Planck constant  
3.99031323e-10 ± 3.6e-17
 J s mol-1
115
 (N_A hc)
0.11962658 ± 1.1e-07
 J m mol-1
116
 Molar gas constant (R)
8.31451 ± 7.0e-05
 J mol-1 K-1
117
 Boltzmann constant (k)
1.380658e-23 ± 1.2e-28
 J K-1
118
 Boltzmann constant in eV  
8.617385e-05 ± 7.3e-10
 eV K-1
119
 Boltzmann constant in Hz  
20836740000 ± 180000
 K-1 s-1
120
 Boltzmann constant in wavenumbers  
69.50387 ± 0.00059
 m-1 K-1
121
 Molar volume (ideal gas), STP (V_m)
0.0224141 ± 1.9e-07
 m3 mol-1
122
 Loschmidt constant (n_0)
2.686763e+25 ± 2.3e+20
 m-3
123
 Stefan-Boltzmann constant (sigma)
5.67051e-08 ± 1.9e-12
 W m-2 K-4
124
 First radiation constant (c_1)
3.7417749e-16 ± 2.2e-22
 W m2
125
 Second radiation constant (c_2)
0.01438769 ± 1.2e-07
 m K
126
 Wien displacement law constant (b)
0.002897756 ± 2.4e-08
 m K
127
 Electron volt (eV)
1.60217733e-19 ± 4.9e-26
 J
128
 Atomic mass unit (u)
1.6605402e-27 ± 1.0e-33
 kg
129
 Standard atmosphere (atm)
101325
 Pa
130
 Standard acceleration of gravity (g_n)
9.80665
 m s-2
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 Version 1.2