| Name | Symbol | Value | Unit
|
| 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\(^{-1}\) |