Josephson unit
data derived with UnitSystems.jl
\[\text{F}^{-1}\text{L}^{-1}\text{T}^{-1}\text{Q}\cdot \text{C}^{-1}\]
\[\left[\hbar^{-1/2}\text{c}^{-1/2}\mu_0^{-1/2}\phi^{-1/2}\lambda^{-1/2}\right]\]
\[K_J = \frac{2e\alpha_L}{h} = \alpha_L\sqrt{\frac{8\alpha}{hZ_0}} = \alpha_L\sqrt{\frac{4}{hR_K}} = \frac{1}{\Phi_0} = \frac{2F\alpha_L}{hN_A}\]
| Quantity | Product | UnitSystem |
|---|---|---|
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | Metric |
| $4.8359784841698356 \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1}\text{e}\cdot 2$ | SI2019 |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{kg}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | SI1976 |
| $4.835978525(30) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\text{K}_\text{J}$ | CODATA |
| $4.835979 \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | ${\text{K}_\text{J}^{90}}$ | Conventional |
| $4.83757435839(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{V}_\text{it}\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | International |
| $4.83762271817(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}1.00034$ | InternationalMean |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricTurn |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricSpatian |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricGradian |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricDegree |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricArcminute |
| $4.83597848549(37) \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{9/2}5^{7/2}$ | MetricArcsecond |
| $4.74247484147(36) \times 10^{15}$ $\left[\text{kgf}^{-1}\text{m}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | Engineering |
| $4.74247484147(36) \times 10^{15}$ $\left[\text{kgf}^{-1}\text{m}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | Gravitational |
| $4.83597848549(37) \times 10^{17}$ $\left[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{15/2}5^{13/2}$ | MTS |
| $4.83597848549(37) \times 10^{6}$ $\left[\text{g}^{-1/2}\text{cm}^{-3/2}\text{s}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{-7/2}5^{-9/2}$ | EMU |
| $1.44978987700(11) \times 10^{17}$ $\left[\text{g}^{-1/2}\text{cm}^{-1/2}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}\tau^{-1/2}2^{-3/2}5^{-5/2}$ | ESU |
| $4.83597848549(37) \times 10^{6}$ $\left[\text{g}^{-1/2}\text{cm}^{-3/2}\text{s}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{-7/2}5^{-9/2}$ | Gauss |
| $1.71430973790(13) \times 10^{7}$ $\left[\text{g}^{-1/2}\text{cm}^{-3/2}\text{s}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}2^{-3}5^{-9/2}$ | LorentzHeaviside |
| $2.03788665790(16) \times 10^{13}$ $\left[\text{lb}^{-1}\text{ft}^{-2}\text{s}\cdot \text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{ft}^{2}\text{lb}\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | FPS |
| $5.46392202364(42) \times 10^{13}$ $\left[\text{lb}^{-1}\text{in}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1/2}2^{5/2}3^{-1}5^{7/2}$ | IPS |
| $6.55670642837(50) \times 10^{14}$ $\left[\text{lb}^{-1}\text{ft}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | British |
| $6.55670642837(50) \times 10^{14}$ $\left[\text{lbf}^{-1}\text{ft}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | English |
| $6.55671954181(50) \times 10^{14}$ $\left[\text{lbf}^{-1}\text{ft}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0\cdot \text{ft}_\text{US}\cdot \text{lb}\cdot \tau^{-1/2}2^{9/2}5^{7/2}$ | Survey |
| $1.57813942788(12) \times 10^{17}$ $\left[\text{lb}^{-1}\text{mi}^{-2}\text{h}\cdot \text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{ft}^{2}\text{lb}\cdot \tau^{-1/2}2^{21/2}5^{7/2}11^{2}$ | MPH |
| $1.34332735708(10) \times 10^{17}$ $\left[\text{kg}^{-1}\text{km}^{-2}\text{h}\cdot \text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{13/2}3^{-2}5^{15/2}$ | KKH |
| $4.626788218(14) \times 10^{17}$ $\left[\text{keg}^{-1}\text{nm}^{-2}\text{h}\cdot \text{eC}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{5/2}2^{-37/2}3^{-8}5^{-19/2}$ | Nautical |
| $4.857017200(15) \times 10^{14}$ $\left[\text{Hz} \cdot \text{eV}^{-1}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{5/2}2^{-45/2}5^{-35/2}$ | Meridian |
| $2.490733(55) \times 10^{62}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}\right]$ | $\hbar^{-3/2}\text{c}^{-3/2}\alpha^{1/2}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{5/2}2^{-61/2}3^{-17}5^{-17/2}$ | IAU☉ |
| $4.93932(11) \times 10^{51}$ $\left[\text{ME}^{-1}\text{LD}^{-2}\text{D}\cdot \text{C}\right]$ | $\hbar^{-3/2}\text{c}^{-3/2}\alpha^{1/2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau^{1/2}2^{7/2}3^{3}5^{15/2}2.0269216899999997 \times 10^{8}$ | IAUE |
| $6.43856(14) \times 10^{60}$ $\left[\text{MJ}^{-1}\text{JD}^{-2}\text{D}\cdot \text{C}\right]$ | $\hbar^{-3/2}\text{c}^{-3/2}\alpha^{1/2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau^{1/2}2^{19/2}3^{-1}5^{27/2}67336617049$ | IAUJ |
| $5.116(16) \times 10^{17}$ $\left[\text{T}^{-1}\text{Q}\right]$ | $\text{c}^{1/2}\text{R}_{\infty}^{1/2}\alpha^{-1/2}\text{H}_0^{-1/2}\text{au}^{1/2}\tau^{-1}2^{13/2}3^{2}5^{3}$ | Hubble |
| $1.600(12) \times 10^{59}$ $\left[\text{M}^{-1}\text{T}^{-1}\text{Q}\right]$ | $\hbar^{-1}\text{c}^{2}\alpha^{1/2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}\cdot \tau^{-1}2^{11}3^{7/2}5^{6}$ | Cosmological |
| $0.0271914766016(21)$ $\left[\text{e}_\text{n}\right]$ | $\alpha^{1/2}\tau^{-1}2$ | CosmologicalQuantum |
| $0.0963912748286(74)$ $\left[\mathbb{1}\right]$ | $\alpha^{1/2}\tau^{-1/2}2^{3/2}$ | Planck |
| $0.0271914766016(21)$ $\left[\text{e}_\text{n}\right]$ | $\alpha^{1/2}\tau^{-1}2$ | PlanckGauss |
| $0.00232281946577(36)$ $\left[\text{M}^{-1}\text{T}^{-1}\text{Q}\right]$ | $\alpha\cdot \tau^{-1}2$ | Stoney |
| $0.3183098861837907$ $\left[\text{e}\right]$ | $\tau^{-1}2$ | Hartree |
| $0.4501581580785531$ $\left[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}\right]$ | $\tau^{-1}2^{3/2}$ | Rydberg |
| $0.3183098861837907$ $\left[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}\right]$ | $\tau^{-1}2$ | Schrodinger |
| $0.00232281946577(36)$ $\left[\text{T}^{-1}\text{Q}\right]$ | $\alpha\cdot \tau^{-1}2$ | Electronic |
| $0.0963912748286(74)$ $\left[\mathbb{1}\right]$ | $\alpha^{1/2}\tau^{-1/2}2^{3/2}$ | Natural |
| $0.0271914766016(21)$ $\left[\text{e}_\text{n}\right]$ | $\alpha^{1/2}\tau^{-1}2$ | NaturalGauss |
| $0.0963912748286(74)$ $\left[\mathbb{1}\right]$ | $\alpha^{1/2}\tau^{-1/2}2^{3/2}$ | QCD |
| $0.0271914766016(21)$ $\left[\text{e}_\text{n}\right]$ | $\alpha^{1/2}\tau^{-1}2$ | QCDGauss |
| $0.3183098861837907$ $\left[\text{e}\right]$ | $\tau^{-1}2$ | QCDoriginal |