electron radius unit
data derived with UnitSystems.jl
\[\text{L}\cdot \text{A}^{-1}\]
\[\left[\hbar\cdot \text{c}^{-1}\text{m}_\text{e}^{-1}\text{g}_0\right]\]
\[r_e = g_0\frac{\hbar\alpha}{m_ec} = \alpha^2a_0 = g_0\frac{e^2 k_e}{m_ec^2} = \frac{2hR_\infty g_0a_0}{m_ec} = \frac{\alpha^3}{4\pi R_\infty}\]
| Quantity | Product | UnitSystem |
|---|---|---|
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | Metric |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | SI2019 |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | SI1976 |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | CODATA |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | Conventional |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | International |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | InternationalMean |
| $1.77056412540(81) \times 10^{-14}$ $\left[\text{m}\cdot \tau^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}2^{-1}$ | MetricTurn |
| $9.9893383656(46) \times 10^{-15}$ $\left[\text{m}\cdot \varsigma^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1/2}2^{-1/2}$ | MetricSpatian |
| $4.4264103135(20) \times 10^{-17}$ $\left[\text{m}\cdot \text{gon}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}2^{-5}5^{-2}$ | MetricGradian |
| $4.9182336817(23) \times 10^{-17}$ $\left[\text{m}\cdot \text{deg}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}2^{-4}3^{-2}5^{-1}$ | MetricDegree |
| $8.1970561361(38) \times 10^{-19}$ $\left[\text{m}\cdot \text{amin}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}2^{-6}3^{-3}5^{-2}$ | MetricArcminute |
| $1.36617602269(63) \times 10^{-20}$ $\left[\text{m}\cdot \text{asec}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}2^{-8}3^{-4}5^{-3}$ | MetricArcsecond |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | Engineering |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | Gravitational |
| $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ | MTS |
| $2.8179403262(13) \times 10^{-13}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2\cdot 5^{2}$ | EMU |
| $2.8179403262(13) \times 10^{-13}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2\cdot 5^{2}$ | ESU |
| $2.8179403262(13) \times 10^{-13}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2\cdot 5^{2}$ | Gauss |
| $2.8179403262(13) \times 10^{-13}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2\cdot 5^{2}$ | LorentzHeaviside |
| $9.2452110439(43) \times 10^{-15}$ $\left[\text{ft}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}^{-1}\tau^{-1}2^{-1}$ | FPS |
| $1.10942532527(51) \times 10^{-13}$ $\left[\text{in}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}^{-1}\tau^{-1}2\cdot 3$ | IPS |
| $9.2452110439(43) \times 10^{-15}$ $\left[\text{ft}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}^{-1}\tau^{-1}2^{-1}$ | British |
| $9.2452110439(43) \times 10^{-15}$ $\left[\text{ft}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}^{-1}\tau^{-1}2^{-1}$ | English |
| $9.2451925535(43) \times 10^{-15}$ $\left[\text{ft}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}_\text{US}^{-1}\tau^{-1}2^{-1}$ | Survey |
| $1.75098694014(80) \times 10^{-18}$ $\left[\text{mi}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{ft}^{-1}\tau^{-1}2^{-6}3^{-1}5^{-1}11^{-1}$ | MPH |
| $2.8179403262(13) \times 10^{-18}$ $\left[\text{km}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-4}5^{-3}$ | KKH |
| $1.5194874758(17) \times 10^{-18}$ $\left[\text{nm}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{g}_0^{1/2}\text{GM}_\text{E}^{-1/2}\tau^{-2}2^{4}3^{3}5^{2}$ | Nautical |
| $2.8138656959(31) \times 10^{-15}$ $\left[\text{em}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{g}_0^{1/2}\text{GM}_\text{E}^{-1/2}\tau^{-2}2^{8}5^{7}$ | Meridian |
| $1.88367676158(87) \times 10^{-26}$ $\left[\text{au}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\text{au}^{-1}\tau^{-1}2^{-1}$ | IAU☉ |
| $7.3307691388(34) \times 10^{-24}$ $\left[\text{LD}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-4}3^{-3}5^{-3}/14237$ | IAUE |
| $3.6198026230(17) \times 10^{-27}$ $\left[\text{JD}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-7}3^{-1}5^{-6}/259493$ | IAUJ |
| $2.061(13) \times 10^{-41}$ $\left[\text{T}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{3}\text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$ | Hubble |
| $5.910(44) \times 10^{-42}$ $\left[\text{T}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{3}\Omega_{\Lambda}^{1/2}\text{H}_0\cdot \text{au}^{-1}\tau^{-1/2}2^{-12}3^{-7/2}5^{-6}$ | Cosmological |
| $3.210(12) \times 10^{-11}$ $\left[\text{M}^{-1}\right]$ | $\hbar^{-1/2}\text{R}_{\infty}^{-1}\alpha^{3}\Omega_{\Lambda}^{1/4}\text{H}_0^{1/2}\text{au}^{-1/2}\text{m}_\text{P}^{1/2}\tau^{-1/4}2^{-13/2}3^{-7/4}5^{-3}$ | CosmologicalQuantum |
| $4.918321(54) \times 10^{19}$ $\left[\text{M}^{-1}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3}\text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$ | Planck |
| $1.743500(19) \times 10^{20}$ $\left[\text{m}_\text{P}^{-1}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3}\text{m}_\text{P}\cdot 2^{-1}$ | PlanckGauss |
| $2.040982(23) \times 10^{21}$ $\left[\text{T}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-1}$ | Stoney |
| $5.3251354520(16) \times 10^{-5}$ $\left[\text{a}_0\right]$ | $\alpha^{2}$ | Hartree |
| $5.3251354520(16) \times 10^{-5}$ $\left[\text{a}_0\right]$ | $\alpha^{2}$ | Rydberg |
| $1.086851(12) \times 10^{17}$ $\left[\text{L}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{9/2}\text{m}_\text{P}\cdot 2^{-1}$ | Schrodinger |
| $1.0$ $\left[\text{T}\right]$ | $1$ | Electronic |
| $0.0072973525693(11)$ $\left[\mathbb{1}\right]$ | $\alpha$ | Natural |
| $0.0072973525693(11)$ $\left[\mathbb{1}\right]$ | $\alpha$ | NaturalGauss |
| $13.3990534291(22)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha\cdot \mu_\text{eu}^{-1}\mu_\text{pu}$ | QCD |
| $13.3990534291(22)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha\cdot \mu_\text{eu}^{-1}\mu_\text{pu}$ | QCDGauss |
| $13.3990534291(22)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha\cdot \mu_\text{eu}^{-1}\mu_\text{pu}$ | QCDoriginal |