Fundamental Physical Constants — CODATA 2022

Quantity Symbol Value Unit Rel. std. uncert. ur
Universal
speed of light in vacuumcm s−1exact
vacuum magnetic permeabilityαℏ/e2cμ0N A−21.6 × 10−10
vacuum electric permittivity1/μ0c2ε0F m−11.6 × 10−10
Newtonian constant of gravitationGm3 kg−1 s−22.2 × 10−5
Planck constanthJ Hz−1exact
reduced Planck constanth/2πJ sexact
Planck length(ℏG/c3)1/2lPm1.1 × 10−5
Planck mass(ℏc/G)1/2mPkg1.1 × 10−5
Planck time(ℏG/c5)1/2tPs1.1 × 10−5
Planck temperature(ℏc5/G)1/2/kTPK1.1 × 10−5
Electromagnetic
elementary chargeeCexact
magnetic flux quantumh/2eΦ0Wbexact
conductance quantum2e2/hG0Sexact
Josephson constant2e/hKJHz V−1exact
von Klitzing constanth/e2RKΩexact
Bohr magnetoneℏ/2meμBJ T−13.1 × 10−10
nuclear magnetoneℏ/2mpμNJ T−13.1 × 10−10
electron charge-to-mass quotiente/meC kg−13.1 × 10−10
Atomic & nuclear
fine-structure constante2/4πε0cα1.6 × 10−10
inverse fine-structure constantα−11.6 × 10−10
Rydberg constantα2mec/2hRm−11.1 × 10−12
Rydberg energyRhceV1.1 × 10−12
Bohr radiusℏ/αmeca0m1.6 × 10−10
Hartree energy2RhcEhJ1.1 × 10−12
electron massmekg3.1 × 10−10
electron rest energymec2MeV3.1 × 10−10
electron g-factorge1.8 × 10−13
Compton wavelengthh/mecλCm3.1 × 10−10
classical electron radiusα2a0rem4.7 × 10−10
Thomson cross section(8π/3)re2σem29.3 × 10−10
proton massmpkg3.1 × 10−10
proton rest energympc2MeV3.1 × 10−10
proton-electron mass ratiomp/me1.7 × 10−11
proton rms charge radiusrpm7.6 × 10−4
neutron massmnkg5.1 × 10−10
neutron rest energymnc2MeV5.1 × 10−10
deuteron massmdkg3.1 × 10−10
alpha particle massmαkg3.1 × 10−10
muon massmμkg2.2 × 10−8
tau massmτkg6.8 × 10−5
Fermi coupling constantGF/(ℏc)3GeV−25.1 × 10−7
weak mixing anglesin2θW1.0 × 10−3
Physicochemical
Avogadro constantNAmol−1exact
Faraday constantNAeFC mol−1exact
molar gas constantNAkRJ mol−1 K−1exact
Boltzmann constantR/NAkJ K−1exact
Stefan–Boltzmann constant2/60)k4/ℏ3c2σW m−2 K−4exact
molar volume of ideal gas273.15 K, 101.325 kPaVmm3 mol−1exact
Wien displacement law constantλmaxTbm Kexact
second radiation constanthc/kc2m Kexact
Adopted & non-SI
electron volt(e/C) JeVJexact
(unified) atomic mass unit112m(12C)ukg3.1 × 10−10
atomic mass unit rest energymuc2MeV3.1 × 10−10
standard acceleration of gravitygnm s−2exact
standard atmosphereatmPaexact