Useful fundamental constants

This table 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 as the data has been manually reformatted to HTML. The definitive source is NIST's site.

Constant Symbol Value Units
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Speed of light in vacuumc299792458m/s
Permeability of vacuum mu0 1.25663706143592 x 10-06N/(A2)
Permittivity of vacuum epsilon0 8.854187817 x 10-12 F/m
Electrostatic Force Constant1/(4*pi*eo) 8.987552 x 1009nt-m2/C2
Constant of gravitationG6.67259 x 10-11 +/- 8.5 x 10-15 1/(kg-s)
Planck constanth6.6260755 x 10-34 +/- 4.0 x 10-40 J-s
Planck constant in eVh 4.1356692 x 10-15 +/- 1.2 x 10-21 eV s
Planck constant / (2 * pi)h-bar 1.05457266 x 10-34 +/- 6.3 x 10-41 J-s
h-bar in eV h-bar6.582122 x 10-16 +/- 2.0 x 10-22eV-s
Planck massnone 2.17671 x 10-08 +/- 1.4 x 10-12kg
Planck lengthnone 1.61605 x 10-35 +/- 1.0 x 10-39m
Planck timenone5.39056 x 10-44 +/- 3.4 x 10-48 s
Elementary chargee1.60217733 x 10-19 +/- 4.9 x 10-26C
Magnetic flux quantum Phi_0 2.06783461 x 10-15 +/- 6.1 x 10-22 Wb
Josephson frequency-voltage quotientnone 483597670000000 +/- 1.4x 1008 1/(V-s)
Quantized Hall conductancenone 3.87404614 x 10-05 +/- 1.7 x 10-12Omega-1
Quantized Hall resistancenone25812.8056 +/- 0.0012Omega
Bohr magnetonmuB 9.2740154 x 10-24 +/- 3.1 x 10-30J T-1
Bohr magneton in eVmuB5.78838263 x 10-05 +/- 5.2 x 10-12 eV/T
Bohr magneton in Hz muB13996241800 +/- 42001/(T-s)
Bohr magneton in wavenumbersmuB46.686437 +/- 1.4 x 10-051/(m-T)
Bohr magneton in kelvinsmuB0.6717099 +/- 5.7 x 10-06K/T
Nuclear magnetonnone 5.0507866 x 10-27 +/- 1.7 x 10-33J/T
Nuclear magneton in eVnone 3.15245166 x 10-08 +/- 2.8 x 10-15 eV/T
Nuclear magneton in Hznone7622591.4 +/- 2.3 1/(T-s)
Nuclear magneton in wavenumbersnone0.0254262281 +/- 7.7 x 10-091/(m-T)
Nuclear magneton in kelvinsnone0.0003658246 +/- 3.1 x 10-09K/T
Fine structure constantalpha0.00729735308 +/- 3.3 x 10-10
Inverse fine structure constant1/alpha137.0359895 +/- 6.1 x 10-06
Rydberg constantRy10973731.534 +/- 0.013 m-1
Rydberg constant in HzRy3.2898419499 x 1015 +/- 3.9 x 10061/s
Rydberg constant in joulesRy 2.1798741 x 10-18 +/- 1.3 x 10-24J
Rydberg constant in eVRy 13.6056981 +/- 4.0 x 10-06eV
Bohr radiusa05.29177249 x 10-11 +/- 2.4 x 10-18m
Hartree energyEh 4.3597482 x 10-18 +/- 2.6 x 10-24 J
Hartree energy in eVEh2.72113961 +/- 8.1 x 10-05eV
Quantum of circulationnone 0.000363694807 +/- 3.3 x 10-11m2/s
Electron massnone9.1093897 x 10-31 +/- 5.4 x 10-37kg
Electron mass in unone0.000548579903 +/- 1.3 x 10-11u
Electron mass in eVnone 510999.06 +/- 0.15 eV
Electron-muon mass rationone0.00483633218 +/- 7.1 x 10-10
Electron-proton mass rationone 0.000544617013 +/- 1.1 x 10-11
Electron-deuteron mass rationone 0.000272443707 +/- 6 x 10-12
Electron-alpha-particle mass rationone 0.000137093354 +/- 3 x 10-12
Electron specific chargenone-175881962000 +/- -53000 C/kg
Electron molar massnone 5.48579903 x 10-07 +/- 1.3 x 10-14kg/mol
Electron Compton wavelengthlambdaC 2.42631058 x 10-12 +/- 2.2 x 10-19 m
Electron Compton wavelength / 2 pi lambda-barC3.86159323 x 10-13 +/- 3.5 x 10-20m
Electron classical radiusre2.81794092 x 10-15 +/- 3.8 x 10-22m
Electron Thomson cross sectionsigmae 6.6524616 x 10-29 +/- 1.8 x 10-35 m2
Electron magnetic momentnone 9.2847701 x 10-24 +/- 3.1 x 10-30J/T
Electron magnetic moment Bohr magnetonsnone 1.001159652193 +/- 1.0 x 10-11
Electron magnetic moment in nuclear magnetonsnone 1838.282 +/- 3.7 x 10-05
Electron magnetic moment anomalyae 0.001159652193 +/- 1.0 x 10-11
Electron g-factorge 2.002319304386 +/- 2.0 x 10-11
Electron-muon magnetic moment rationone206.766967 +/- 3.0 x 10-05
Electron-proton magnetic moment rationone658.2106881 +/- 6.6 x 10-06
Muon massnone1.8835327 x 10-28 +/- 1.1 x 10-34kg
Muon mass in unone 0.113428913 +/- 1.7 x 10-08 u
Muon mass in eVnone 105658389 +/- 34 eV
Muon-electron mass rationone 206.768262 +/- 3.0 x 10-05
Muon molar massnone 0.000113428913 +/- 1.7 x 10-11 kg mol-1
Muon magnetic momentnone 4.4904514 x 10-26 +/- 1.5 x 10-32 J T-1
Muon magnetic moment in Bohr magnetonsnone 0.00484197097 +/- 7.1 x 10-10
Muon magnetic moment nuclear magnetonsnone 8.8905981 +/- 1.3 x 10-06
Muon magnetic moment anomalyamu 0.001165923 +/- 8.4 x 10-09
Muon g-factorgmu 2.002331846 +/- 1.7 x 10-08
Muon-proton magnetic moment rationone 3.18334547 +/- 4.7 x 10-07
Proton radius from electron difussionnone 8.62 x 10-16 +/- 0.02m
Proton massnone 1.6726231 x 10-27 +/- 1.0 x 10-33kg
Proton mass in unone 1.00727647 +/- 1.2 x 10-08 u
Proton mass in eVnone 938272310 +/- 280 eV
Proton-electron mass rationone1836.152701 +/- 3.7 x 10-05
Proton-muon mass rationone 8.8802444 +/- 1.3 x 10-06
Proton specific chargenone 95788309 +/- 29 C kg-1
Proton molar massnone 0.00100727647 +/- 1.2 x 10-11 kg mol-1
Proton Compton wavelength lambdaC,p 1.32141002 x 10-15 +/- 1.2 x 10-22 m
Proton magnetic momentnone 1.41060761 x 10-26 +/- 4.7 x 10-33 J T-1
Proton magnetic moment Bohr magnetonsnone 0.001521032202 +/- 1.5 x 10-11
Proton magnetic moment nclr magnetonsnone 2.792847386 +/- 6.3 x 10-08
Proton gyromagnetic ratiogammap 267522128 +/- 81 T-1 s-1
Neutron massnone 1.6749286 x 10-27 +/- 1.0 x 10-33 kg
Neutron mass in unone 1.008664904 +/- 1.4 x 10-08 u
Neutron mass in eVnone 939565630 +/- 280 eV
Neutron-electron mass rationone1838.683662 +/- 4.0 x 10-05
Neutron-proton mass rationone 1.001378404 +/- 9 x 10-09
Neutron molar massnone1.008664904 +/- 1.4 x 10-14 kg mol-1
Neutron Compton wavelengthlambdaC,n 1.3195911 x 10-15 +/- 1.2 x 10-22 m
Neutron magnetic momentnone 9.6623707 x 10-27 +/- 4.0 x 10-33J T-1
Neutron magnetic moment Bohr magnetonsnone 0.00104187563 +/- 2.5 x 10-10
Neutron magnetic moment nuclear magnetonsnone 1.91304275 +/- 4.5 x 10-07
Neutron-electron magnetic moment rationone 0.00104066882 +/- 2.5 x 10-10
Neutron-proton magnetic moment rationone 0.68497934 +/- 1.6 x 10-07
Deuteron massnone 3.343586 x 10-27 +/- 2.0 x 10-33 kg
Deuteron mass in unone 2.013553214 +/- 2.4 x 10-08 u
Deuteron mass in eVnone 1875613390 +/- 570 eV
Deuteron-electron mass rationone 3670.483014 +/- 7.5 x 10-05
Deuteron-proton mass rationone 1.999007496 +/- 6 x 10-09
Deuteron molar massnone 0.002013553214 +/- 2.4 x 10-11 kg mol-1
Deuteron magnetic momentmud 4.3307375 x 10-27 +/- 1.5 x 10-33 J T-1
Deuteron magnetic moment Bohr magnetonsnone 0.0004669754479 +/- 9.1 x 10-12
Deuteron mgntc moment nuclear magnetonsnone 0.85743823 +/- 2.4 x 10-08
Deuteron-electron magnetic moment rationone 0.000466434546 +/- 9.1 x 10-12
Deuteron-proton magnetic moment rationone 0.3070122035 +/- 5.1 x 10-09
Avagadro constantNA 6.0221367x 1023 +/- 3.6x 1017 mol-1
Faraday constantF 96485.309 +/- 0.029 C mol-1
Molar Planck constantnone 3.99031323 x 10-10 +/- 3.6 x 10-17 J s mol-1
Molar gas constantR 8.31451 +/- 7.0 x 10-05 J mol-1 K-1
Boltzmann constantk 1.380658 x 10-23 +/- 1.2 x 10-28 J K-1
Boltzmann constant in eVk 8.617385 x 10-05 +/- 7.3 x 10-10e V K-1
Boltzmann constant in Hzk 20836740000 +/- 180000 K-1 s-1
Boltzmann constant in wavenumbersk 69.50387 +/- 0.00059 m-1 K-1
Molar volume ideal gas, STPVm 0.0224141 +/- 1.9 x 10-07 m3 mol-1
Loschmidt constantn0 2.686763x 1025 +/- 2.3x 1020 m-3
Stefan-Boltzmann constantsigma 5.67051 x 10-08 +/- 1.9 x 10-12 W m-2 K-4
First radiation constantc1 3.7417749 x 10-16 +/- 2.2 x 10-22 W m2
Second radiation constantc2 0.01438769 +/- 1.2 x 10-07 m K
Wien displacement law constant b 0.002897756 +/- 2.4 x 10-08 m K
Electron volt eV 1.60217733 x 10-19 +/- 4.9 x 10-26 J
Atomic mass unit u 1.6605402 x 10-27 +/- 1.0 x 10-33 kg
Atomic mass unit in eVnone 931494320 +/- 280 eV
Standard atmosphereatm 101325 Pa
Std accel gravity none 9.80665m s-2
BIPM-maintained ohm,Omega_B185 1-1.563 x 10-6 +/- 5.0 x 10-08Omega
Lattice spacing of Si in vacuum, 295.65 Ka 5.4310196 x 10-10 +/- 1.1 x 10-16 m
Lattice spacing Si 220 planed_220 1.9201554 x 10-10 +/- 4.0 x 10-17 m
Molar volume of SiVmSi 1.20588179 x 10-05 +/- 8.9 x 10-12 m3 mol-1
Radiation density constanta 7.564 x 10-16 J M^-3 K^-4
Mass of the SunMsolar1.9891x 1030 Kg.
Mass of the EarthMearth 5.9724 x 1024 Kg.
Equatorial radius of the earthnone6.378137 x 106m
Polar radius of the earthnone6.356752 x 106m
Astronomical unitau1.4959787066 x 1011m
Mean radius of Mercury's orbit:none 5.7909096376 x 1010m
Sideral period of Mercury:none87.96days
Atmospheric pressure at sea level (avarage):none101325 Pascals
Solar radius:average6.97 x 108m