standard
uncertainty
| Symbol | Quantity | Value | Relative standard uncertainty |
|
|---|---|---|---|---|
| speed of light in vacuum | 299792458 m⋅s−1 | 0 | ||
| \(h\) | Planck constant | 6.62607015×10−34 J⋅Hz−1 | 0 | |
| \(\hbar = \dfrac{h}{2 \pi}\) | reduced Planck constant | 1.054571817...×10−34 J⋅s | 0 | |
| \( \mu _{0}=\dfrac{4\pi \alpha \hbar}{e^{2}c}\) | vacuum magnetic permeability | 1.25663706127(20)×10−6 N⋅A−2 | 1.6×10−10 | |
| \( Z_{0}=\dfrac{4\pi \alpha \hbar} {e^{2}}\) | characteristic impedance of vacuum | 376.730313412(59) Ω | 1.6×10−10 | |
| \( \varepsilon_{0}=\dfrac{e^{2}}{4\pi \alpha \hbar c}\) | vacuum electric permittivity | 8.8541878188(14)×10−12 F⋅m−1 | 1.6×10−10 | |
| Boltzmann constant | 1.380649×10−23 J⋅K−1 | 0 | ||
| Newtonian constant of gravitation | 6.67430(15)×10−11 m3⋅kg−1⋅s−2 | 2.2×10−5 | ||
| \( \sigma =\dfrac{\pi^{2}\,k_{\text{B}}^{4}}{60\hbar ^{3}c^{2}}\) | Stefan–Boltzmann constant | 5.670374419...×10−8 W⋅m−2⋅K−4 | 0 | |
| Wien wavelength displacement law constant | 2.897771955...×10−3 m⋅K | 0 | ||
| Wien entropy displacement law constant | 3.002916077...×10−3 m⋅K | 0 | ||
| elementary charge | 1.602176634×10−19 C | 0 | ||
| \( G_{0}=\dfrac{2\,e^{2}}{h}\) | conductance quantum | 7.748091729...×10−5 S | 0 | |
| \( R_{\text{K}}=\dfrac{h}{e^{2}}\) | von Klitzing constant | 25812.80745... Ω | 0 | |
| \(K_{\text{J}}=\dfrac{2e}{h}\) | Josephson constant | 483597.8484...×109 Hz⋅V−1 | 0 | |
| \(\Phi _{0}=\dfrac{h}{2e}\) | magnetic flux quantum | 2.067833848...×10−15 Wb | 0 | |
| \( \alpha =\dfrac{e^{2}}{4\pi \varepsilon _{0}\hbar c}\) | fine-structure constant | 0.0072973525643(11) | 1.6×10−10 | |
| electron mass | 9.1093837139(28)×10−31 kg | 3.1×10−10 | ||
| muon mass | 1.883531627(42)×10−28 kg | 2.2×10−8 | ||
| tau mass | 3.16754(21)×10−27 kg | 6.8×10−5 | ||
| proton mass | 1.67262192595(52)×10−27 kg | 3.1×10−10 | ||
| neutron mass | 1.67492750056(85)×10−27 kg | 5.1×10−10 | ||
| top quark mass | 3.0784(53)×10−25 kg | 1.7×10−3 | ||
| \( \dfrac{m_{\text{p}}}{m_{\text{e}}} \) | proton-to-electron mass ratio | 1836.152673426(32) | 1.7×10−11 | |
| electron g-factor | −2.00231930436092(36) | 1.8×10−13 | ||
| muon g-factor | −2.00233184123(82) | 4.1×10−10 | ||
| proton g-factor | 5.5856946893(16) | 2.9×10−10 | ||
| \(\dfrac{h}{2\,m_{\text{e}}}\) |
quantum of circulation | 3.6369475467(11)×10−4 m2⋅s−1 | 3.1×10−10 | |
| \( \mu _{\text{B}}=\dfrac{e\hbar}{2 \, m_{\text{e}}}\) | Bohr magneton | 9.2740100657(29)×10−24 J⋅T−1 | 3.1×10−10 | |
| \({\displaystyle \mu _{\text{N}}=\dfrac{e\hbar}{ 2m_{\text{p}}}}\) | nuclear magneton | 5.0507837393(16)×10−27 J⋅T−1 | 3.1×10−10 | |
| \( r_{\text{e}}= \dfrac{\alpha \, \hbar}{m_{\text{e}} \, c}\) | classical electron radius | 2.8179403205(13)×10−15 m | 4.7×10−10 | |
| \( \sigma _{\text{e}} = \dfrac{8 \pi}{3} \cdot r_{\text{e}}^{2} \) | Thomson cross section | 6.6524587051(62)×10−29 m2 | 9.3×10−10 | |
| \( a_{0}= \dfrac{\hbar}{\alpha \, m_{\text{e}} \, c} \) | Bohr radius | 5.29177210544(82)×10−11 m | 1.6×10−10 | |
| \(R_{\infty} = \dfrac{\alpha^{2} \, m_e \, c}{2 \, h}\) | Rydberg constant | 10973731.568157(12) m−1 | 1.1×10−12 | |
| Hartree energy | 4.3597447222060(48)×10−18 J | 1.1×10−12 | ||
| Avogadro constant | 6.02214076×1023 mol−1 | 0 | ||
| molar gas constant | 8.31446261815324 J⋅mol−1⋅K−1 | 0 | ||
| Faraday constant | 96485.3321233100184 C⋅mol−1 | 0 | ||
| molar Planck constant | 3.9903127128934314×10−10 J⋅s⋅mol−1 | 0 | ||
| carbon-12 | 12.0000000126(37)×10−3 kg⋅mol−1 | 3.1×10−10 | ||
| atomic mass constant | 1.66053906892(52)×10−27 kg | 3.1×10−10 | ||
| molar mass constant | 1.00000000105(31)×10−3 kg⋅mol−1 | 3.1×10−10 | ||
| molar volume of silicon | 1.205883199(60)×10−5 m3⋅mol−1 | 4.9×10−8 | ||
| hyperfine transition frequency of 133Cs | 9192631770 Hz | 0 |
