| Name | Symbol | Value | Unit |
|---|---|---|---|
| Number $\pi$ | $\pi$ | 3.14159265358979323846 | |
| Number e | e | 2.71828182845904523536 | |
| Euler’s constant | $\gamma$ | $\begin{aligned} \gamma &= \lim\limits_{n\rightarrow\infty}\left(\sum\limits_{k=1}^n 1/k-\ln(n)\right) \\ &= 0.5772156649 \end{aligned}$ | |
| Elementary charge | $e$ | $1.60217733\cdot10^{-19}$ | C |
| Gravitational constant | $G,\kappa$ | $6.67259\cdot10^{-11}$ | m$^3$kg$^{-1}$s$^{-2}$ |
| Fine-structure constant | $\alpha=\frac{e^{2}}{2hc\epsilon_0}$ | $\approx \frac{1}{137}$ | |
| Speed of light in vacuum | $c$ | $2.99792458\cdot10^8$ | m/s (def) |
| Permittivity of the vacuum | $\varepsilon_0$ | $8.854187\cdot10^{-12}$ | F/m |
| Permeability of the vacuum | $\mu_0$ | $4\pi\cdot10^{-7}$ | H/m |
| $(4\pi\varepsilon_0)^{-1}$ | $8.9876\cdot10^9$ | Nm$^2$C$^{-2}$ | |
| Planck’s constant | $h$ | $6.6260755\cdot10^{-34}$ | Js |
| Dirac’s constant | $\hbar=\frac{h}{2\pi}$ | $1.0545727\cdot10^{-34}$ | Js |
| Bohr magneton | $\mu_{\rm B}=\frac{e\hbar}{2m_{\rm e}}$ | $9.2741\cdot10^{-24}$ | Am$^2$ |
| Bohr radius | $a_0$ | $0.52918$ | Å |
| Rydberg’s constant | $Ry$ | 13.595 | eV |
| Electron Compton wavelength | $\lambda_{\rm Ce}=\frac{h}{m_{e} c}$ | $2.2463\cdot10^{-12}$ | m |
| Proton Compton wavelength | $\lambda_{\rm Cp}=\frac{h}{m_{\rm p}c}$ | $1.3214\cdot10^{-15}$ | m |
| Reduced mass of the H-atom | $\mu_{\rm H}$ | $9.1045755\cdot10^{-31}$ | kg |
| Stefan-Boltzmann’s constant | $\sigma$ | $5.67032\cdot10^{-8}$ | Wm$^{-2}$K$^{-4}$ |
| Wien’s constant | $k_{\rm W}$ | $2.8978\cdot10^{-3}$ | mK |
| Molar gas constant | $R$ | 8.31441 | J$\cdot$mol$^{-1}\cdot$K$^{-1}$ |
| Avogadro’s constant | $N_{A}$ | $6.0221367\cdot10^{23}$ | mol$^{-1}$ |
| Boltzmann’s constant | $k=\frac{R}{N_{A}}$ | $1.380658\cdot10^{-23}$ | J/K |
| Electron mass | $m_{\rm e}$ | $9.1093897\cdot10^{-31}$ | kg |
| Proton mass | $m_{\rm p}$ | $1.6726231\cdot10^{-27}$ | kg |
| Neutron mass | $m_{\rm n}$ | $1.674954\cdot10^{-27}$ | kg |
| Elementary mass unit | $m_{u}=\frac{1}{12}m(^{12}_{6}C)$ | $1.6605656\cdot10^{-27}$ | kg |
| Nuclear magneton | $\mu_{\rm N}$ | $5.0508\cdot10^{-27}$ | 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$^{-1}$ |
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