Physical constants

NameSymbolValueUnit
Number \(\pi\) \(\pi\) \(3.14159265358979323846...\)
Number e e \(2.71828182845904523536...\)
Euler's constant \(\gamma\) \(\gamma=\lim\limits_{n\rightarrow\infty}\left(\sum\limits_{k=1}^n 1/k-\ln(n)\right)=0.5772156649...\)
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\(\cdot\)mol\(^{-1}\cdot\)K\(^{-1}\)
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\(\cdot\)s\(^{-1}\cdot\)Mpc\(^{-1}\)