Physical Constants

Adapted from: MIT 3.091 Table of Fundamental Physical Constants and: The NIST reference on Constants, Units, and Uncertainty. Because the formatting has been modified from original form, and since these data might not be up to date, no guarantee is provided about its correctness.

A more complete (and up to date) table can be seen here.

Fundamental Physical Constants

#
Constant
Symbol
Value
Units
1
Speed of light in vacuum $\text{c}$
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 $\text{G}$
6.67259e-11 ± 8.5e-15
m3 kg-1 s-2
5
Planck constant $\text{h}$
6.6260755e-34 ± 4.0e-40
J s
6
Planck constant in eV  
4.1356692e-15 ± 1.2e-21
eV s
7
h-bar $\hbar$
1.05457266e-34 ± 6.3e-41
J s
8
h-bar in eV  
6.582122e-16 ± 2.0e-22
eV s
9
Planck mass $\text{m}_\text{p}$
2.17671e-08 ± 1.4e-12
kg
10
Planck length $\text{l}_\text{p}$
1.61605e-35 ± 1.0e-39
m
11
Planck time $\text{t}_\text{p}$
5.39056e-44 ± 3.4e-48
s
12
Elementary charge $\text{e}$
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  
4.8359767e+14 ± 1.4e+08
V-1 s-1
15
Quantized Hall conductance  
3.87404614e-05 ± 1.7e-12
Ω-1
16
Quantized Hall resistance $\text{R}_\text{H}$
25812.8056 ± 0.0012
Ω
17
Bohr magneton $\mu_\text{B}$
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 $\mu_\text{N}$
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  
3.658246e-04 ± 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 $\text{Ry}$
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 $\text{a}_0$
5.29177249e-11 ± 2.4e-18
m
34
Hartree energy $\text{E}_\text{h}$
4.3597482e-18 ± 2.6e-24
J
35
Hartree energy in eV  
27.2113961 ± 8.1e-06
eV
36
Quantum of circulation  
3.63694807e-04 ± 3.3e-11
m2 s-1
37
Electron mass $\text{m}_\text{e}$
9.1093897e-31 ± 5.4e-37
kg
38
Electron mass in u  
5.48579903e-04 ± 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  
5.44617013e-04 ± 1.1e-11
 
42
Electron-deuteron mass ratio  
2.72443707e-04 ± 6e-12
 
43
Electron-alpha-particle mass ratio  
1.37093354e-04 ± 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 $\lambda_\text{C}$
2.42631058e-12 ± 2.2e-19
m
47
Electron Compton wavelength over 2 pi $\text{ƛ}_\text{C}$
3.86159323e-13 ± 3.5e-20
m
48
Electron classical radius $\text{r}_\text{e}$
2.81794092e-15 ± 3.8e-22
m
49
Electron Thomson cross section $\sigma_\text{e}$
6.6524616e-29 ± 1.8e-35
m2
50
Electron magnetic mom.  
9.2847701e-24 ± 3.1e-30
J T-1
51
Electron magnetic mom. in Bohr magnetons  
1.001159652193 ± 1.0e-11
 
52
Electron magnetic mom. in nuclear magnetons  
1838.282 ± 3.7e-05
 
53
Electron magnetic mom. anomaly $\text{a}_\text{e}$
0.001159652193 ± 1.0e-11
 
54
Electron g-factor $\text{g}_\text{e}$
2.002319304386 ± 2.0e-11
 
55
Electron-muon magnetic mom. ratio  
206.766967 ± 3.0e-05
 
56
Electron-proton magnetic mom. 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  
1.13428913e-04 ± 1.7e-11
kg mol-1
62
Muon magnetic mom.  
4.4904514e-26 ± 1.5e-32
J T-1
63
Muon magnetic mom. in Bohr magnetons  
0.00484197097 ± 7.1e-10
 
64
Muon magnetic mom. in nuclear magnetons  
8.8905981 ± 1.3e-06
 
65
Muon magnetic mom. anomaly $\text{a}_\mu$
0.001165923 ± 8.4e-09
 
66
Muon g-factor $\text{g}_\mu$
2.002331846 ± 1.7e-08
 
67
Muon-proton magnetic mom. ratio  
3.18334547 ± 4.7e-07
 
68
Proton mass $\text{m}_\text{p}$
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 $\lambda_\text{C}, \text{p}$
1.32141002e-15 ± 1.2e-22
m
76
Proton magnetic mom.  
1.41060761e-26 ± 4.7e-33
J T-1
77
Proton magnetic mom. in Bohr magnetons  
0.001521032202 ± 1.5e-11
 
78
Proton magnetic mom. in nuclear magnetons  
2.792847386 ± 6.3e-08
 
79
Diamagnetic shielding correction for protons (H2O, spherical sample, 298.15 K) $\sigma_\text{H2O}$
2.5689e-05 ± 1.5e-08
 
80
Shielded proton mom. (H2O, spherical sample, 298.15 K) $\mu_\text{p}^’$
1.41057138e-26 ± 4.7e-33
J T-1
81
Shielded proton mom. in Bohr magnetons  
0.001520993129 ± 1.7e-11
 
82
Shielded proton mom. in nuclear magnetons  
2.792775642 ± 6.4e-08
 
83
Proton gyromagnetic ratio $\gamma_\text{p}$
267522128 ± 81
T-1 s-1
84
Proton gyromagnetic ratio over 2 pi $\frac{\gamma_\text{p}}{2\pi}$
42577469 ± 13
T-1 s-1
85
Proton gyromagnetic ratio, uncorrected (H2O, spherical sample, 298.15 K) $\gamma_\text{p}^’$
267515255 ± 81
T-1 s-1
86
Proton gyromagnetic ratio, uncorrected (H2O, spherical sample, 298.15 K) over 2 pi $\frac{\gamma_\text{p}^’}{2\pi}$
42576375 ± 13
T-1 s-1
87
Neutron mass $\text{m}_\text{n}$
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 $\lambda_\text{C}, \text{n}$
1.3195911e-15 ± 1.2e-22
m
94
Neutron magnetic mom.  
9.6623707e-27 ± 4.0e-33
J T-1
95
Neutron magnetic mom. in Bohr magnetons  
0.00104187563 ± 2.5e-10
 
96
Neutron magnetic mom. in nuclear magnetons  
1.91304275 ± 4.5e-07
 
97
Neutron-electron magnetic mom. ratio  
0.00104066882 ± 2.5e-10
 
98
Neutron-proton magnetic mom. ratio  
0.68497934 ± 1.6e-07
 
99
Deuteron mass $\text{m}_\text{d}$
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 mom. $\mu_\text{d}$
4.3307375e-27 ± 1.5e-33
J T-1
106
Deuteron magnetic mom. in Bohr magnetons  
4.669754479e-04 ± 9.1e-12
 
107
Deuteron magnetic mom. in nuclear magnetons  
0.85743823 ± 2.4e-08
 
108
Deuteron-electron magnetic mom. ratio  
4.66434546e-04 ± 9.1e-12
 
109
Deuteron-proton magnetic mom. ratio  
0.3070122035 ± 5.1e-09
 
110
Avagadro constant $\text{N}_\text{A}$
6.0221367e+23 ± 3.6e+17
mol-1
111
Atomic mass constant $\text{m}_\text{u}$
1.6605402e-27 ± 1.0e-33
kg
112
Atomic mass constant in eV  
931494320 ± 280
eV
113
Faraday constant $\text{F}$
96485.309 ± 0.029
C mol-1
114
Molar Planck constant  
3.99031323e-10 ± 3.6e-17
J s mol-1
115
molar Planck constant times c $\text{N}_\text{A} \text{hc}$
0.11962658 ± 1.1e-07
J m mol-1
116
Molar gas constant $\text{R}$
8.31451 ± 7.0e-05
J mol-1 K-1
117
Boltzmann constant $\text{k}$
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 $\text{V}_\text{m}$
0.0224141 ± 1.9e-07
m3 mol-1
122
Loschmidt constant $\text{n}_0$
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 $\text{c}_1$
3.7417749e-16 ± 2.2e-22
W m2
125
Second radiation constant $\text{c}_2$
0.01438769 ± 1.2e-07
m K
126
Wien displacement law constant $\text{b}$
0.002897756 ± 2.4e-08
m K
127
Electron volt $\text{eV}$
1.60217733e-19 ± 4.9e-26
J
128
Atomic mass unit $\text{u}$
1.6605402e-27 ± 1.0e-33
kg
129
Standard atmosphere $\text{atm}$
101325
Pa
130
Standard acceleration of gravity $\text{g}_\text{n}$
9.80665
m s-2
131
BIPM-maintained ohm, Ω_69-B1 $\Omega_\text{B185}$
1-1.563e-6 ± 5.0e-08
Ω
132
Drift rate of Ω_69-B1 $\frac{d\Omega_\text{69-B1}}{dt}$
-0.0566 ± -0.0015
μΩ/yr
133
BIPM-maintained volt 483 694 GHz(h/2e) $\text{V}_\text{76-B1}$
1-7.59e-6 ± 3.0e-07
V
134
BIPM maintained ampere A_BIPM $\text{A}_\text{B185}$
1-6.03e-6 ± 3.0e-07
A
135
Cu x-unit: $\text{xu}(\text{CuK}\alpha 1)$
1.00207789e-13 ± 7.0e-20
m
136
Mo x-unit: $\text{xu}(\text{MoK}\alpha 1)$
1.00209938e-13 ± 4.5e-20
m
137
AA *: $\text{A} \text{Å}^*$
1.00001481e-10 ± 9.2e-17
m
138
Lattice spacing of Si (in vacuum, 295.65 K) $\text{a}$
5.4310196e-10 ± 1.1e-16
m
139
Lattice spacing Si (220) plane $\text{d}_{220}$
1.9201554e-10 ± 4.0e-17
m
140
Molar volume of Si $\text{V}_m(\text{Si})$
1.20588179e-05 ± 8.9e-12
m3 mol-1