Bohr radius unit
data derived with UnitSystems.jl
\[\text{L}\cdot \text{A}^{-1}\]
\[\left[\hbar\cdot \text{c}^{-1}\text{m}_\text{e}^{-1}\text{g}_0\right]\]
\[a_0 = \frac{g_0\hbar}{m_ec\alpha} = \frac{g_0\hbar^2}{k_e m_ee^2} = \frac{r_e}{\alpha^2} = \frac{\alpha}{4\pi R_\infty}\]
| Quantity | Product | UnitSystem |
|---|---|---|
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | Metric |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | SI2019 |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | SI1976 |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | CODATA |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | Conventional |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | International |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | InternationalMean |
| $3.32491847644(51) \times 10^{-10}$ $\left[\text{m}\cdot \tau^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot 2^{-1}$ | MetricTurn |
| $1.87588437055(29) \times 10^{-10}$ $\left[\text{m}\cdot \varsigma^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1/2}2^{-1/2}$ | MetricSpatian |
| $8.3122961911(13) \times 10^{-13}$ $\left[\text{m}\cdot \text{gon}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot 2^{-5}5^{-2}$ | MetricGradian |
| $9.2358846568(14) \times 10^{-13}$ $\left[\text{m}\cdot \text{deg}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot 2^{-4}3^{-2}5^{-1}$ | MetricDegree |
| $1.53931410946(24) \times 10^{-14}$ $\left[\text{m}\cdot \text{amin}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot 2^{-6}3^{-3}5^{-2}$ | MetricArcminute |
| $2.56552351577(39) \times 10^{-16}$ $\left[\text{m}\cdot \text{asec}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot 2^{-8}3^{-4}5^{-3}$ | MetricArcsecond |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | Engineering |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | Gravitational |
| $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ | MTS |
| $5.29177210902(81) \times 10^{-9}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$ | EMU |
| $5.29177210902(81) \times 10^{-9}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$ | ESU |
| $5.29177210902(81) \times 10^{-9}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$ | Gauss |
| $5.29177210902(81) \times 10^{-9}$ $\left[\text{cm}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$ | LorentzHeaviside |
| $1.73614570506(27) \times 10^{-10}$ $\left[\text{ft}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}^{-1}\tau^{-1}2^{-1}$ | FPS |
| $2.08337484607(32) \times 10^{-9}$ $\left[\text{in}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}^{-1}\tau^{-1}2\cdot 3$ | IPS |
| $1.73614570506(27) \times 10^{-10}$ $\left[\text{ft}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}^{-1}\tau^{-1}2^{-1}$ | British |
| $1.73614570506(27) \times 10^{-10}$ $\left[\text{ft}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}^{-1}\tau^{-1}2^{-1}$ | English |
| $1.73614223277(27) \times 10^{-10}$ $\left[\text{ft}\cdot \text{rad}^{-1}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}_\text{US}^{-1}\tau^{-1}2^{-1}$ | Survey |
| $3.28815474443(50) \times 10^{-14}$ $\left[\text{mi}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{ft}^{-1}\tau^{-1}2^{-6}3^{-1}5^{-1}11^{-1}$ | MPH |
| $5.29177210902(81) \times 10^{-14}$ $\left[\text{km}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-4}5^{-3}$ | KKH |
| $2.8534250245(29) \times 10^{-14}$ $\left[\text{nm}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{g}_0^{1/2}\text{GM}_\text{E}^{-1/2}\tau^{-2}2^{4}3^{3}5^{2}$ | Nautical |
| $5.2841204157(54) \times 10^{-11}$ $\left[\text{em}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{g}_0^{1/2}\text{GM}_\text{E}^{-1/2}\tau^{-2}2^{8}5^{7}$ | Meridian |
| $3.53733116940(55) \times 10^{-22}$ $\left[\text{au}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \text{au}^{-1}\tau^{-1}2^{-1}$ | IAU☉ |
| $1.37663524333(21) \times 10^{-19}$ $\left[\text{LD}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-4}3^{-3}5^{-3}/14237$ | IAUE |
| $6.7975784948(10) \times 10^{-23}$ $\left[\text{JD}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-7}3^{-1}5^{-6}/259493$ | IAUJ |
| $3.870(24) \times 10^{-37}$ $\left[\text{T}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha\cdot \text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$ | Hubble |
| $1.1099(82) \times 10^{-37}$ $\left[\text{T}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha\cdot \Omega_{\Lambda}^{1/2}\text{H}_0\cdot \text{au}^{-1}\tau^{-1/2}2^{-12}3^{-7/2}5^{-6}$ | Cosmological |
| $6.028(22) \times 10^{-7}$ $\left[\text{M}^{-1}\right]$ | $\hbar^{-1/2}\text{R}_{\infty}^{-1}\alpha\cdot \Omega_{\Lambda}^{1/4}\text{H}_0^{1/2}\text{au}^{-1/2}\text{m}_\text{P}^{1/2}\tau^{-1/4}2^{-13/2}3^{-7/4}5^{-3}$ | CosmologicalQuantum |
| $9.23605(10) \times 10^{23}$ $\left[\text{M}^{-1}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$ | Planck |
| $3.274094(36) \times 10^{24}$ $\left[\text{m}_\text{P}^{-1}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha\cdot \text{m}_\text{P}\cdot 2^{-1}$ | PlanckGauss |
| $3.832733(42) \times 10^{25}$ $\left[\text{T}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{1/2}\text{m}_\text{P}\cdot 2^{-1}$ | Stoney |
| $1.0$ $\left[\text{a}_0\right]$ | $1$ | Hartree |
| $1.0$ $\left[\text{a}_0\right]$ | $1$ | Rydberg |
| $2.040982(23) \times 10^{21}$ $\left[\text{L}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-1}$ | Schrodinger |
| $18778.8650450(58)$ $\left[\text{T}\right]$ | $\alpha^{-2}$ | Electronic |
| $137.035999084(21)$ $\left[\mathbb{1}\right]$ | $\alpha^{-1}$ | Natural |
| $137.035999084(21)$ $\left[\mathbb{1}\right]$ | $\alpha^{-1}$ | NaturalGauss |
| $251619.016075(41)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha^{-1}\mu_\text{eu}^{-1}\mu_\text{pu}$ | QCD |
| $251619.016075(41)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha^{-1}\mu_\text{eu}^{-1}\mu_\text{pu}$ | QCDGauss |
| $251619.016075(41)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha^{-1}\mu_\text{eu}^{-1}\mu_\text{pu}$ | QCDoriginal |