magneton unit
data derived with UnitSystems.jl
\[\text{F}\cdot \text{M}^{-1}\text{L}\cdot \text{T}\cdot \text{Q}\cdot \text{A}^{-1}\text{C}^{-1}\]
\[\left[\hbar^{3/2}\text{c}^{-1/2}\mu_0^{-1/2}\text{m}_\text{e}^{-1}\phi^{1/2}\lambda^{-1/2}\right]\]
\[\mu_B = \frac{e\hbar\alpha_L}{2m_e} = \frac{\hbar\alpha_L^2}{m_eK_JR_K} = \frac{h^2K_J}{8\pi m_e} = \frac{\alpha_L\hbar F}{2m_e N_A} = \frac{ec\alpha^2\alpha_L}{8\pi g_0R_\infty}\]
| Quantity | Product | UnitSystem |
|---|---|---|
| $9.2740100808(36) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$ | Metric |
| $9.2740100783(28) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\text{c}\cdot \text{e}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-2}$ | SI2019 |
| $9.2740100808(36) \times 10^{-24}$ $\left[\text{m}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$ | SI1976 |
| $9.274010001(58) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{R}_\text{K}^{-1}\text{K}_\text{J}^{-1}\tau^{-1}2^{-1}$ | CODATA |
| $9.2740092541(28) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1}2^{-1}$ | Conventional |
| $9.2755397877(36) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\Omega_\text{it}\cdot \text{V}_\text{it}^{-1}\tau^{-3/2}2^{3/2}5^{7/2}$ | International |
| $9.2754007095(36) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}1.0001499490173342$ | InternationalMean |
| $5.8270323879(22) \times 10^{-23}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \tau^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{3/2}5^{7/2}$ | MetricTurn |
| $3.2875509762(13) \times 10^{-23}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \varsigma^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1}2^{2}5^{7/2}$ | MetricSpatian |
| $1.45675809696(56) \times 10^{-25}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \text{gon}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{-5/2}5^{3/2}$ | MetricGradian |
| $1.61862010774(62) \times 10^{-25}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \text{deg}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{-3/2}3^{-2}5^{5/2}$ | MetricDegree |
| $2.6977001796(10) \times 10^{-27}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \text{amin}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{-7/2}3^{-3}5^{3/2}$ | MetricArcminute |
| $4.4961669659(17) \times 10^{-29}$ $\left[\text{J} \cdot \text{T}^{-1} \cdot \text{asec}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{-11/2}3^{-4}5^{1/2}$ | MetricArcsecond |
| $9.4568584387(36) \times 10^{-25}$ $\left[\text{kgf}\cdot \text{kg}^{-1}\text{m}\cdot \text{s}\cdot \text{C}\cdot \text{rad}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{g}_0^{-1}\tau^{-3/2}2^{3/2}5^{7/2}$ | Engineering |
| $9.2740100808(36) \times 10^{-24}$ $\left[\text{m}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$ | Gravitational |
| $9.2740100808(36) \times 10^{-24}$ $\left[\text{m}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$ | MTS |
| $9.2740100808(36) \times 10^{-21}$ $\left[\text{erg} \cdot \text{G}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{9/2}5^{13/2}$ | EMU |
| $2.7802782776(11) \times 10^{-10}$ $\left[\text{g}^{1/2}\text{cm}^{7/2}\text{s}^{-2}\right]$ | $\hbar^{1/2}\text{c}^{3/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{13/2}5^{17/2}$ | ESU |
| $9.2740100808(36) \times 10^{-21}$ $\left[\text{erg} \cdot \text{G}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{9/2}5^{13/2}$ | Gauss |
| $3.2875509762(13) \times 10^{-20}$ $\left[\text{g}^{1/2}\text{cm}^{5/2}\text{s}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1}2^{5}5^{13/2}$ | LorentzHeaviside |
| $9.9824613714(38) \times 10^{-23}$ $\left[\text{ft}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{ft}^{-2}\tau^{-3/2}2^{3/2}5^{7/2}$ | FPS |
| $1.43747443748(55) \times 10^{-20}$ $\left[\text{in}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{ft}^{-2}\tau^{-3/2}2^{11/2}3^{2}5^{7/2}$ | IPS |
| $9.9824613714(38) \times 10^{-23}$ $\left[\text{ft}^{2}\text{s}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{ft}^{-2}\tau^{-3/2}2^{3/2}5^{7/2}$ | British |
| $3.1026438447(12) \times 10^{-24}$ $\left[\text{lbf}\cdot \text{lbm}^{-1}\text{ft}\cdot \text{s}\cdot \text{C}\cdot \text{rad}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{g}_0^{-1}\text{ft}^{-1}\tau^{-3/2}2^{3/2}5^{7/2}$ | English |
| $3.1026376394(12) \times 10^{-24}$ $\left[\text{lbf}\cdot \text{lbm}^{-1}\text{ft}\cdot \text{s}\cdot \text{C}\cdot \text{rad}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{g}_0^{-1}\text{ft}_\text{US}^{-1}\tau^{-3/2}2^{3/2}5^{7/2}$ | Survey |
| $1.28905751180(49) \times 10^{-26}$ $\left[\text{mi}^{2}\text{h}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{ft}^{-2}\tau^{-3/2}2^{-9/2}5^{7/2}11^{-2}$ | MPH |
| $3.3386436291(13) \times 10^{-26}$ $\left[\text{km}^{2}\text{h}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{-1/2}3^{2}5^{-1/2}$ | KKH |
| $9.679298330(39) \times 10^{-27}$ $\left[\text{nm}^{2}\text{h}^{-1}\text{eC}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{g}_0^{2}\text{GM}_\text{E}^{-2}\tau^{-11/2}2^{67/2}3^{8}5^{47/2}$ | Nautical |
| $9.220486901(37) \times 10^{-24}$ $\left[\text{eJ} \cdot \text{eT}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{g}_0^{2}\text{GM}_\text{E}^{-2}\tau^{-11/2}2^{75/2}5^{63/2}$ | Meridian |
| $3.5803912082(14) \times 10^{-41}$ $\left[\text{au}^{2}\text{D}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{au}^{-2}\tau^{-3/2}2^{17/2}3^{3}5^{11/2}$ | IAU☉ |
| $5.4227153468(21) \times 10^{-36}$ $\left[\text{LD}^{2}\text{D}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{5/2}3^{-3}5^{-1/2}/202692169$ | IAUE |
| $1.32217062094(51) \times 10^{-42}$ $\left[\text{JD}^{2}\text{D}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{-7/2}3\cdot 5^{-13/2}/67336617049$ | IAUJ |
| $6.411(60) \times 10^{-60}$ $\left[\text{T}\cdot \text{Q}\right]$ | $\text{c}^{-3/2}\text{R}_{\infty}^{-3/2}\alpha^{7/2}\text{H}_0^{3/2}\text{au}^{-3/2}2^{-35/2}3^{-6}5^{-9}$ | Hubble |
| $5.879(87) \times 10^{-102}$ $\left[\text{T}\cdot \text{Q}\right]$ | $\hbar\cdot \text{c}^{-3}\text{R}_{\infty}^{-1}\alpha^{5/2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-23}3^{-7}5^{-12}$ | Cosmological |
| $1.8789(70) \times 10^{-10}$ $\left[\text{M}^{-1}\text{Q}\right]$ | $\hbar^{-1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\Omega_{\Lambda}^{1/4}\text{H}_0^{1/2}\text{au}^{-1/2}\text{m}_\text{P}^{1/2}\tau^{-1/4}2^{-15/2}3^{-7/4}5^{-3}$ | CosmologicalQuantum |
| $1.020491(11) \times 10^{21}$ $\left[\text{M}^{-1}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$ | Planck |
| $1.020491(11) \times 10^{21}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$ | PlanckGauss |
| $1.398440(15) \times 10^{23}$ $\left[\text{T}\cdot \text{Q}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3/2}\text{m}_\text{P}\cdot 2^{-2}$ | Stoney |
| $0.5$ $\left[\text{e}\right]$ | $2^{-1}$ | Hartree |
| $1.4142135623730951$ $\left[\text{L}^{2}\text{T}^{-1}\text{Q}\right]$ | $2^{1/2}$ | Rydberg |
| $1.020491(11) \times 10^{21}$ $\left[\text{L}^{2}\text{T}^{-1}\text{Q}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$ | Schrodinger |
| $68.517999542(10)$ $\left[\text{T}\cdot \text{Q}\right]$ | $\alpha^{-1}2^{-1}$ | Electronic |
| $0.151411060436(12)$ $\left[\mathbb{1}\right]$ | $\alpha^{1/2}\tau^{1/2}2^{-1/2}$ | Natural |
| $0.0427122715659(33)$ $\left[\text{e}_\text{n}\right]$ | $\alpha^{1/2}2^{-1}$ | NaturalGauss |
| $278.013823407(27)$ $\left[\text{m}_\text{p}^{-1}\right]$ | $\alpha^{1/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \tau^{1/2}2^{-1/2}$ | QCD |
| $78.4262516241(76)$ $\left[\text{m}_\text{p}^{-1}\text{e}_\text{n}\right]$ | $\alpha^{1/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{-1}$ | QCDGauss |
| $918.076336716(55)$ $\left[\text{m}_\text{p}^{-1}\text{e}\right]$ | $\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{-1}$ | QCDoriginal |