vacuum permeability unit

data derived with UnitSystems.jl DOI

\[\text{F}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}\]

\[\left[\mu_0\right]\]

\[\mu_0 = \frac{1}{\varepsilon_0 (c\alpha_L)^2} = \frac{4\pi k_e}{\lambda (c\alpha_L)^2} = \frac{2h\alpha}{\lambda c(e\alpha_L)^2} = \frac{2R_K\alpha}{\lambda c\alpha_L^2}\]

Quantity Product UnitSystem
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ Metric
$1.25663706212(19) \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\hbar\cdot \text{c}^{-1}\text{e}^{-2}\alpha\cdot 2$ SI2019
$1.2566370614359173 \times 10^{-6}$ $\left[\text{kg}\cdot \text{m}\cdot \text{C}^{-2}\right]$ $\tau\cdot 2^{-6}5^{-7}$ SI1976
$1.25663706194(35) \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\text{c}^{-1}\alpha\cdot \text{R}_\text{K}\cdot 2$ CODATA
$1.25663703976(19) \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot 2$ Conventional
$1.2560153338456637 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\Omega_\text{it}^{-1}\tau\cdot 2^{-6}5^{-7}$ International
$1.2560216108466022 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}/1.00049$ InternationalMean
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricTurn
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricSpatian
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricGradian
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricDegree
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricArcminute
$1.2566370614359173 \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ MetricArcsecond
$1.2814131853751459 \times 10^{-7}$ $\left[\text{kgf}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\tau\cdot 2^{-6}5^{-7}$ Engineering
$1.2814131853751459 \times 10^{-7}$ $\left[\text{kgf}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\tau\cdot 2^{-6}5^{-7}$ Gravitational
$1.2566370614359174 \times 10^{-9}$ $\left[\text{t}\cdot \text{m}\cdot \text{C}^{-2}\right]$ $\tau\cdot 2^{-9}5^{-10}$ MTS
$1.0$ $\left[\mathbb{1}\right]$ $1$ EMU
$1.1126500560536184 \times 10^{-21}$ $\left[\text{cm}^{-2}\text{s}^{2}\right]$ $\text{c}^{-2}2^{-4}5^{-4}$ ESU
$1.0$ $\left[\mathbb{1}\right]$ $1$ Gauss
$1.0$ $\left[\mathbb{1}\right]$ $1$ LorentzHeaviside
$9.089273271309687 \times 10^{-6}$ $\left[\text{lb}\cdot \text{ft}\cdot \text{C}^{-2}\right]$ $\text{ft}^{-1}\text{lb}^{-1}\tau\cdot 2^{-6}5^{-7}$ FPS
$2.8250324964133447 \times 10^{-7}$ $\left[\text{lb}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\text{lb}^{-1}\tau\cdot 2^{-6}5^{-7}$ IPS
$2.8250324964133447 \times 10^{-7}$ $\left[\text{lb}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\text{lb}^{-1}\tau\cdot 2^{-6}5^{-7}$ British
$2.8250324964133447 \times 10^{-7}$ $\left[\text{lbf}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\text{lb}^{-1}\tau\cdot 2^{-6}5^{-7}$ English
$2.8250324964133447 \times 10^{-7}$ $\left[\text{lbf}\cdot \text{s}^{2}\text{C}^{-2}\right]$ $\text{g}_0^{-1}\text{lb}^{-1}\tau\cdot 2^{-6}5^{-7}$ Survey
$1.7214532710813804 \times 10^{-9}$ $\left[\text{lb}\cdot \text{mi}\cdot \text{C}^{-2}\right]$ $\text{ft}^{-1}\text{lb}^{-1}\tau\cdot 2^{-11}3^{-1}5^{-8}11^{-1}$ MPH
$1.2566370614359174 \times 10^{-9}$ $\left[\text{kg}\cdot \text{km}\cdot \text{C}^{-2}\right]$ $\tau\cdot 2^{-9}5^{-10}$ KKH
$6.785840131753953 \times 10^{-10}$ $\left[\text{keg}\cdot \text{nm}\cdot \text{eC}^{-2}\right]$ $\tau\cdot 2^{-10}3^{3}5^{-12}$ Nautical
$1.2566370614359173 \times 10^{-6}$ $\left[\text{eH} \cdot \text{em}^{-1}\right]$ $\tau\cdot 2^{-6}5^{-7}$ Meridian
$4.224533(93) \times 10^{-48}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-2}2^{22}3^{14}5^{3}$ IAU☉
$5.47389(12) \times 10^{-40}$ $\left[\text{ME}\cdot \text{LD}\cdot \text{C}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{m}_\text{P}^{-2}\text{GM}_\text{E}^{-1}2^{-9}3^{-3}5^{-10}/14237$ IAUE
$8.50430(19) \times 10^{-46}$ $\left[\text{MJ}\cdot \text{JD}\cdot \text{C}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{m}_\text{P}^{-2}\text{GM}_\text{J}^{-1}2^{-12}3^{-1}5^{-13}/259493$ IAUJ
$12.566370614359172$ $\left[\text{T}\cdot \text{Q}^{-2}\right]$ $\tau\cdot 2$ Hubble
$12.566370614359172$ $\left[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}\right]$ $\tau\cdot 2$ Cosmological
$12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$ CosmologicalQuantum
$1.0$ $\left[\mathbb{1}\right]$ $1$ Planck
$12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$ PlanckGauss
$12.566370614359172$ $\left[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}\right]$ $\tau\cdot 2$ Stoney
$0.00066917625662(21)$ $\left[\text{a}_0\cdot \text{e}^{-2}\right]$ $\alpha^{2}\tau\cdot 2$ Hartree
$0.000167294064155(51)$ $\left[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}\right]$ $\alpha^{2}\tau\cdot 2^{-1}$ Rydberg
$0.00066917625662(21)$ $\left[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}\right]$ $\alpha^{2}\tau\cdot 2$ Schrodinger
$12.566370614359172$ $\left[\text{T}\cdot \text{Q}^{-2}\right]$ $\tau\cdot 2$ Electronic
$1.0$ $\left[\mathbb{1}\right]$ $1$ Natural
$12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$ NaturalGauss
$1.0$ $\left[\mathbb{1}\right]$ $1$ QCD
$12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$ QCDGauss
$0.091701236889(14)$ $\left[\text{e}^{-2}\right]$ $\alpha\cdot \tau\cdot 2$ QCDoriginal