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Physical constants

NameSymbolValueUnit
Number π π 3.14159265358979323846...
Number e e 2.71828182845904523536...
Euler's constant γ γ=lim
Elementary charge e 1.602176634\cdot10^{-19} C
Gravitational constant G, \kappa 6.67430(15)\cdot10^{-11} \rm m^3 kg^{-1} s^{-2}
Fine-structure constant \alpha=e^2/2hc\varepsilon_0 \approx1/137
Speed of light in vacuum c 2.99792458\cdot10^8 m/s (def)
Permittivity of the vacuum \varepsilon_0 8.8541878128(13)\cdot10^{-12} F/m
Permeability of the vacuum \mu_0 4\pi\cdot10^{-7} H/m
(4\pi\varepsilon_0)^{-1} 8.9876\cdot10^9 \rm Nm^2 C^{-2}
Planck's constant h 6.62607015\cdot10^{-34} Js
Dirac's constant \hbar=h/2\pi 1.054571817\cdot10^{-34} Js
Bohr magneton \mu_{\rm B}=e\hbar/2m_{\rm e} 9.2740100783(28)\cdot10^{-24} Am^2
Bohr radius a_0 0.529177210903(80) Å
Rydberg's constant Ry 13.605693122994(26) eV
Electron Compton wavelength \lambda_{\rm Ce}=h/m_{\rm e}c 2.42631023867(73)\cdot10^{-12} m
Proton Compton wavelength \lambda_{\rm Cp}=h/m_{\rm p}c 1.32140985539(40)\cdot10^{-15} m
Reduced mass of the H-atom \mu_{\rm H} 9.1045755\cdot10^{-31} kg
Stefan-Boltzmann's constant \sigma 5.670374419\cdot10^{-8} Wm^{-2}K^{-4}
Wien's constant k_{\rm W} 2.897771955...\cdot10^{-3} mK
Molar gasconstant R 8.31446261815324 J\cdotmol^{-1}\cdotK^{-1}
Avogadro's constant N_{\rm A} 6.02214076\cdot10^{23} mol^{-1}
Boltzmann's constant k=R/N_{\rm A} 1.380649\cdot10^{-23} J/K
Electron mass m_{\rm e} 9.1093837015(28)\cdot10^{-31} kg
Proton mass m_{\rm p} 1.67262192369(51)\cdot10^{-27} kg
Neutron mass m_{\rm n} 1.67492749804(95)\cdot10^{-27} kg
Elementary mass unit m_{\rm u}=\frac{1}{12}m(^{12}_{~6})C 1.66053906660(50)\cdot10^{-27} kg
Nuclear magneton \mu_{\rm N} 5.050783699(31)\cdot10^{-27} J/T
Diameter of the Sun D_\odot 1392\cdot10^6 m
Mass of the Sun M_\odot 1.989\cdot10^{30} kg
Rotational period of the Sun T_\odot 25.38 days
Radius of Earth R_{\rm A} 6.378\cdot10^6 m
Mass of Earth M_{\rm A} 5.976\cdot10^{24} kg
Rotational period of Earth T_{\rm A} 23.96 hours
Earth orbital period Tropical year 365.24219879 days
Astronomical unit AU 1.4959787066\cdot10^{11} m
Light year lj 9.4605\cdot10^{15} m
Parsec pc 3.0857\cdot10^{16} m
Hubble constant H \approx(75\pm25) km\cdots^{-1}\cdotMpc^{-1}