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Hartree

$\text{F}=L^{-3}, \text{M}=\mathbb{1}, \text{L}, \text{T}=L^{2}, \text{Q}, \Theta=L^{-2}, \text{N}=\mathbb{1}, \text{J}=L^{-4}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1}, \text{C}=\mathbb{1}$

Standard Constants

NameQuantityProduct
hyperfine transition$2.2235912908526(43) \times 10^{-7}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\Delta\nu_\text{Cs}\cdot \text{R}_{\infty}^{-1}\tau^{-1}2^{-1}$
light speed$137.035999084(21)$ $[\text{a}_0^{-1}]$$\alpha^{-1}$
Planck$6.283185307179586$ $[\mathbb{1}]$$\tau$
Planck reduced$1.0$ $[\mathbb{1}]$$1$
electron mass$1.0$ $[\mathbb{1}]$$1$
molar mass$1.0$ $[\mathbb{1}]$$1$
Boltzmann$1.0$ $[\mathbb{1}]$$1$
vacuum permeability$0.00066917625662(21)$ $[\text{a}_0\cdot \text{e}^{-2}]$$\alpha^{2}\tau\cdot 2$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$1.0$ $[\mathbb{1}]$$1$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$1822.888486209(53)$ $[\mathbb{1}]$$\mu_\text{eu}^{-1}$
proton mass$1836.15267343(11)$ $[\mathbb{1}]$$\mu_\text{eu}^{-1}\mu_\text{pu}$
Planck mass$2.389222(26) \times 10^{22}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}\cdot 2^{-1}$
Newton gravitation$2.400610(53) \times 10^{-43}$ $[\text{a}_0^{-1}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-5}\text{m}_\text{P}^{-2}2^{2}$
Gauss gravitation$4.8159592095047(92) \times 10^{-24}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\text{k}_\text{G}\cdot 2^{-15}3^{-7}5^{-5}$
Einstein gravitation$1.710893(38) \times 10^{-50}$ $[\text{a}_0^{3}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-1}\text{m}_\text{P}^{-2}\tau\cdot 2^{4}$
Hartree$1.0$ $[\text{a}_0^{-2}]$$1$
Rydberg$0.000580704866443(89)$ $[\text{a}_0^{-1}]$$\alpha\cdot \tau^{-1}2^{-1}$
Bohr radius$1.0$ $[\text{a}_0]$$1$
electron radius$5.3251354520(16) \times 10^{-5}$ $[\text{a}_0]$$\alpha^{2}$
Avogadro$0.000548579909065(16)$ $[\mathbb{1}]$$\mu_\text{eu}$
Molar gas$0.000548579909065(16)$ $[\mathbb{1}]$$\mu_\text{eu}$
Stefan-Boltzmann$8.7594967156(27) \times 10^{-6}$ $[\text{a}_0^{2}]$$\alpha^{2}\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density$2.5568454345(12) \times 10^{-7}$ $[\text{a}_0^{3}]$$\alpha^{3}\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity$0.07957747154594767$ $[\text{a}_0\cdot \text{e}^{2}]$$\tau^{-1}2^{-1}$
electrostatic$1.0$ $[\text{a}_0^{-1}\text{e}^{-2}]$$1$
magnetostatic$5.3251354520(16) \times 10^{-5}$ $[\text{a}_0\cdot \text{e}^{-2}]$$\alpha^{2}$
Biot-Savart$5.3251354520(16) \times 10^{-5}$ $[\text{a}_0\cdot \text{e}^{-2}]$$\alpha^{2}$
elementary charge$1.0$ $[\text{e}]$$1$
Faraday$0.000548579909065(16)$ $[\text{e}]$$\mu_\text{eu}$
vacuum impedance$0.091701236889(14)$ $[\text{e}^{-2}]$$\alpha\cdot \tau\cdot 2$
conductance quantum$0.3183098861837907$ $[\text{e}^{2}]$$\tau^{-1}2$
Klitzing$6.283185307179586$ $[\text{e}^{-2}]$$\tau$
Josephson$0.3183098861837907$ $[\text{e}]$$\tau^{-1}2$
magnetic flux quantum$3.141592653589793$ $[\text{e}^{-1}]$$\tau\cdot 2^{-1}$
magneton$0.5$ $[\text{e}]$$2^{-1}$
Loschmidt$3.9813973565(18) \times 10^{-6}$ $[\text{a}_0^{-3}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$
mechanical heat$0.0002762367317680(80)$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\mu_\text{eu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$
Wien wavelength$173.414454494(27)$ $[\text{a}_0^{-1}]$
Wien frequency$0.44904602270732236$ $[\mathbb{1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$2.804(21) \times 10^{82}$ $[\mathbb{1}]$$\hbar^{-2}\text{c}^{3}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{8}3^{7/2}5^{6}$
solar mass$2.182814(48) \times 10^{60}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-29}3^{-14}5^{-10}$
Jupiter mass$2.083702(46) \times 10^{57}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-1}$
Earth mass$6.55606(14) \times 10^{54}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-1}$
g-force$1.08430071352(17) \times 10^{-22}$ $[\text{a}_0^{-3}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\text{g}_0\cdot \tau^{-1}2^{-1}$
Earth radius$1.2047790782(12) \times 10^{17}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2$
great circle$7.5698502027(77) \times 10^{17}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2$
nautical mile$3.5045602790(36) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
Hubble$5.304(33) \times 10^{-35}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$
cosmological$3.096(46) \times 10^{-73}$ $[\text{a}_0^{-2}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}2^{-22}3^{-7}5^{-12}$

Standard Units

Angle Units

NameQuantityProduct
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
radian$1.0$ $[\mathbb{1}]$$1$
spatian$3.5449077018110318$ $[\mathbb{1}]$$\tau^{1/2}2^{1/2}$
gradian$0.015707963267948967$ $[\mathbb{1}]$$\tau\cdot 2^{-4}5^{-2}$
bradian$0.02454369260617026$ $[\mathbb{1}]$$\tau\cdot 2^{-8}$
degree$0.017453292519943295$ $[\mathbb{1}]$$\tau\cdot 2^{-3}3^{-2}5^{-1}$
arc minute$0.0002908882086657217$ $[\mathbb{1}]$$\tau\cdot 2^{-5}3^{-3}5^{-2}$
arc second$4.84813681109536 \times 10^{-6}$ $[\mathbb{1}]$$\tau\cdot 2^{-7}3^{-4}5^{-3}$

Solid Angle Units

NameQuantityProduct
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
steradian$1.0$ $[\mathbb{1}]$$1$
square degree$0.0003046174197867087$ $[\mathbb{1}]$$\tau^{2}2^{-6}3^{-4}5^{-2}$

Time Units

NameQuantityProduct
second$4.1341373335183(79) \times 10^{16}$ $[\text{a}_0^{2}]$$\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2$
minute$2.4804824001110(47) \times 10^{18}$ $[\text{a}_0^{2}]$$\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{3}3\cdot 5$
hour$1.4882894400666(28) \times 10^{20}$ $[\text{a}_0^{2}]$$\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{5}3^{2}5^{2}$
day$3.5718946561598(68) \times 10^{21}$ $[\text{a}_0^{2}]$$\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{8}3^{3}5^{2}$
year$1.3046345231624(25) \times 10^{24}$ $[\text{a}_0^{2}]$$\text{c}\cdot \text{R}_{\infty}\cdot \text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$1.88972612463(29)$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-9}5^{-10}$
inch$4.79990435656(74) \times 10^{8}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{-1}3^{-1}$
foot$5.75988522787(88) \times 10^{9}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2$
survey foot$5.75989674766(88) \times 10^{9}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}_\text{US}\cdot \tau\cdot 2$
yard$1.72796556836(26) \times 10^{10}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2\cdot 3$
meter$1.88972612463(29) \times 10^{10}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2$
Earth meter$1.8924625507(19) \times 10^{10}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-8}5^{-7}$
mile$3.04121940031(47) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
statute mile$3.04122548276(47) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}_\text{US}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
meridian mile$3.49949282339(54) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{5}3^{-3}5^{5}$
admiralty mile$3.50201021854(54) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{7}5\cdot 19$
nautical mile$3.5045602790(36) \times 10^{13}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
lunar distance$7.2640883258(11) \times 10^{18}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{4}3^{3}5^{3}14237$
astronomical unit$2.82699004451(44) \times 10^{21}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{au}\cdot \tau\cdot 2$
Jupiter distance$1.47111210377(23) \times 10^{22}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{7}3\cdot 5^{6}259493$
light-year$1.78781895321(27) \times 10^{26}$ $[\text{a}_0]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-1}\text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$
parsec$5.83108553792(90) \times 10^{26}$ $[\text{a}_0]$$\text{R}_{\infty}\cdot \alpha^{-1}\text{au}\cdot 2^{8}3^{4}5^{3}$

Speed Units

NameQuantityProduct
Bubnoff$1.44847165323(22) \times 10^{-14}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$
feet per minute$2.32208268344(36) \times 10^{-9}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$
inches per second$1.16104134172(18) \times 10^{-8}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-2}3^{-1}$
kilometers per hour$1.26973025122(19) \times 10^{-7}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}2^{-1}3^{-2}5$
feet per second$1.39324961006(21) \times 10^{-7}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{ft}$
miles per hour$2.04343276142(31) \times 10^{-7}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$
knot$2.3547572029(24) \times 10^{-7}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}3^{-5}5^{-4}$
meters per second$4.57102890440(70) \times 10^{-7}$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}$
miles per second$0.00073563579411(11)$ $[\text{a}_0^{-1}]$$\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$

Area Units

NameQuantityProduct
barn$3.5710648261(11) \times 10^{-8}$ $[\text{a}_0^{2}]$$\text{R}_{\infty}^{2}\alpha^{-2}\tau^{2}2^{-26}5^{-28}$
hectare$3.5710648261(11) \times 10^{24}$ $[\text{a}_0^{2}]$$\text{R}_{\infty}^{2}\alpha^{-2}\tau^{2}2^{6}5^{4}$
acre$1.44515866263(44) \times 10^{24}$ $[\text{a}_0^{2}]$$\text{R}_{\infty}^{2}\alpha^{-2}\text{ft}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$
survey acre$1.44516444328(44) \times 10^{24}$ $[\text{a}_0^{2}]$$\text{R}_{\infty}^{2}\alpha^{-2}\text{ft}_\text{US}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$6.7483344946(31) \times 10^{27}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}5^{-3}$
gallon$2.5545224918(12) \times 10^{28}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-3}3^{-2}7\cdot 11$
quart$6.3863062296(29) \times 10^{27}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-5}3^{-2}7\cdot 11$
pint$3.1931531148(15) \times 10^{27}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$
cup$1.59657655740(73) \times 10^{27}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-7}3^{-2}7\cdot 11$
fluid ounce$1.99572069675(92) \times 10^{26}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$
teaspoon$3.3741672473(16) \times 10^{25}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}2^{-3}5^{-5}$
tablespoon$1.01225017419(47) \times 10^{26}$ $[\text{a}_0^{3}]$$\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}2^{-3}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$1.09776910575(34) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-4}5^{-3}$
Earth gram$1.1025449025(33) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
kilogram$1.09776910575(34) \times 10^{30}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-1}$
tonne$1.09776910575(34) \times 10^{33}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{2}5^{3}$
ton$9.9587938078(31) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{3}5^{3}$
pound (mass)$4.9793969039(15) \times 10^{29}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-1}$
ounce$3.11212306494(95) \times 10^{28}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-5}$
grain$7.1134241484(22) \times 10^{25}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-4}5^{-3}7^{-1}$
slug$1.60207357768(49) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch$1.92248829321(59) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
hyl$1.07654374009(33) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot 2^{-1}$

Force Units

NameQuantityProduct
dyne$121.378026609(19)$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \tau^{-1}2^{-7}5^{-5}$
newton$1.21378026609(19) \times 10^{7}$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \tau^{-1}2^{-2}$
poundal$1.67811135311(26) \times 10^{6}$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
pound (force)$5.39916361582(83) \times 10^{7}$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{g}_0\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
kilopond$1.19031182465(18) \times 10^{8}$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{g}_0\cdot \tau^{-1}2^{-2}$

Presure Units

NameQuantityProduct
pounds per square inch$2.3434803762(11) \times 10^{-10}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-3}3^{2}$
pascal$3.3989309217(16) \times 10^{-14}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{-4}$
barye$3.3989309217(16) \times 10^{-15}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{-5}5^{-1}$
bar$3.3989309217(16) \times 10^{-9}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2\cdot 5^{5}$
technical atmosphere$3.3332125924(15) \times 10^{-9}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{g}_0\cdot \tau^{-3}5^{4}$
atmosphere$3.4439667564(16) \times 10^{-9}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{atm}\cdot \tau^{-3}2^{-4}$
inch mercury$1.15101022851(53) \times 10^{-10}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{in}_\text{Hg}^{-1}\tau^{-3}2^{-4}$
torr$4.5315352058(21) \times 10^{-12}$ $[\text{a}_0^{-5}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{atm}\cdot \tau^{-3}2^{-7}5^{-1}19^{-1}$

Energy Units

NameQuantityProduct
erg$2.2937122783963(44) \times 10^{10}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}2^{-8}5^{-7}$
joule$2.2937122783963(44) \times 10^{17}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}2^{-1}$
foot-pound$3.1098562753578(60) \times 10^{17}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{-1}$
calorie$9.603170804669(18) \times 10^{17}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2\cdot 3^{2}5\cdot 43^{-1}$
kilocalorie$9.603170804669(18) \times 10^{20}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}3^{2}5^{4}43^{-1}$
mean calorie$9.603410798982(18) \times 10^{17}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}2\cdot 3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie$9.644948982(29) \times 10^{17}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-26}3^{2}5^{-20}43^{-1}$
British thermal unit$2.4199583360026(46) \times 10^{20}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}5^{5}43^{-1}$
gas gallon$2.7587525030430(53) \times 10^{25}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT$9.603170804669(18) \times 10^{26}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{10}3^{2}5^{10}43^{-1}$
electronvolt$0.036749322175654(70)$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{e}\cdot \text{R}_{\infty}^{-1}2^{-1}$

Power Units

NameQuantityProduct
watt$5.548224679910(21)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-1}2^{-2}$
horsepower (Watt)$4083.654859980(16)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{2}3^{3}5^{-1}$
horsepower (Metric)$4080.7123167930(16)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \tau^{-1}2^{-2}3\cdot 5^{2}$
horsepower$4137.310431318(16)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-1}5^{2}11$
electrical horsepower$4138.975611213(16)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-1}2^{-1}373$
tons refrigeration$19511.997633157(75)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{4}3^{-1}5^{6}43^{-1}$
boiler horsepower$54430.343397490(21)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{-1}3^{-2}5^{5}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$3.16681156237(97) \times 10^{-6}$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}$
Rankine$1.75933975687(54) \times 10^{-6}$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}3^{-2}5^{4}$
Celsius$0.00086501457826(27)$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot 2^{3}5^{3}$
Fahrenheit$0.00080871570604(25)$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}3^{-2}5^{4}459.67$
sea level$0.00091251675170(28)$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}288.15$
boiling$0.00118164474883(36)$ $[\text{a}_0^{-2}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}373.1339$
mole$1.09776910575(34) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-4}5^{-3}$
Earth-mole$1.1025449025(33) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
pound-mole$4.9793969039(15) \times 10^{29}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-1}$
slug-mole$1.60207357768(49) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch-mole$1.92248829321(59) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
katal$2.65537648411(81) \times 10^{10}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{2}\tau^{-1}2^{-5}5^{-3}$
amagat$0.0072576434003(33)$ $[\text{a}_0^{-3}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$

Photometric Units

NameQuantityProduct
lumen$0.008123081604248(31)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\tau^{-1}2^{-2}$
candela$0.008123081604248(31)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\tau^{-1}2^{-2}$
lux$2.27469452385(70) \times 10^{-23}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{-4}$
phot$2.27469452385(70) \times 10^{-19}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}5^{4}$
foot-candle$2.44846080801(75) \times 10^{-22}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\text{ft}^{-2}\tau^{-3}2^{-4}$
nit$2.27469452385(70) \times 10^{-23}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{-4}$
abostilb$7.2405775499(22) \times 10^{-24}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2^{-3}$
stilb$2.27469452385(70) \times 10^{-19}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}5^{4}$
lambert$7.2405775499(22) \times 10^{-20}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2\cdot 5^{4}$
foot-lambert$7.7936928112(24) \times 10^{-23}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\text{ft}^{-2}\tau^{-4}2^{-3}$
bril$7.2405775499(22) \times 10^{-31}$ $[\text{a}_0^{-6}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2^{-10}5^{-7}$
talbot$3.3581934923336(64) \times 10^{14}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}2^{-1}$
lumerg$3.3581934923336(64) \times 10^{7}$ $[\text{a}_0^{-2}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}2^{-8}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$2.4188843265857(46) \times 10^{-17}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{-1}$
actions per minute$4.0314738776428(77) \times 10^{-19}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{-3}3^{-1}5^{-1}$
revolutions per minute$2.5330497434283(48) \times 10^{-18}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}2^{-3}3^{-1}5^{-1}$
kayser$5.29177210902(81) \times 10^{-9}$ $[\text{a}_0^{-1}]$$\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$
diopter$5.29177210902(81) \times 10^{-11}$ $[\text{a}_0^{-1}]$$\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$
rayleigh$1.15767636121(35) \times 10^{6}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{9}5^{10}$
flick$8.2216207337(38) \times 10^{-21}$ $[\text{a}_0^{-7}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-5}\alpha^{3}\tau^{-4}2^{5}5^{10}$
g-force$1.08430071352(17) \times 10^{-22}$ $[\text{a}_0^{-3}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\text{g}_0\cdot \tau^{-1}2^{-1}$
galileo$1.10567901732(17) \times 10^{-25}$ $[\text{a}_0^{-3}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\tau^{-1}2^{-3}5^{-2}$
eotvos$5.851001385402(22) \times 10^{-43}$ $[\text{a}_0^{-4}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-2}2^{-11}5^{-9}$
darcy$3.5243669638(11) \times 10^{8}$ $[\text{a}_0^{2}]$$\text{R}_{\infty}^{2}\alpha^{-2}\text{atm}^{-1}\tau^{2}2^{-5}5^{-7}$
poise$140.5164721760(65)$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\tau^{-2}2^{-4}5^{-1}$
reyn$9.6882697134(45) \times 10^{6}$ $[\text{a}_0^{-3}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-2}2\cdot 3^{2}$
stokes$0.86379927371(26)$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-3}5^{-4}$
rayl$7.4358114832(46) \times 10^{-8}$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{R}_{\infty}^{-4}\alpha^{4}\tau^{-3}2^{-4}$
mpg equivalent$1.10238935786(17) \times 10^{-12}$ $[\text{a}_0^{3}]$$\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-1}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau\cdot 2^{-2}5^{-7}11\cdot 19^{-1}43$
langley$26.8916171291(82)$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-2}2^{3}3^{2}5^{5}43^{-1}$
jansky$6.4230485586(20) \times 10^{-30}$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\tau^{-2}2^{-29}5^{-26}$
solar flux$6.4230485586(20) \times 10^{-26}$ $[\text{a}_0^{-4}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\tau^{-2}2^{-25}5^{-22}$
curie$8.949872008367(17) \times 10^{-7}$ $[\text{a}_0^{-2}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{8}5^{9}37$
gray$2.08943052449(64) \times 10^{-13}$ $[\text{a}_0^{-2}]$$\text{c}^{-2}\alpha^{-2}$
roentgen$1.46676106777(56) \times 10^{-15}$ $[\text{e}]$$\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}\cdot \alpha^{-5/2}\tau^{1/2}2^{5/2}5^{3/2}/1.293$

Charge Units

NameQuantityProduct
coulomb$6.24150907276(48) \times 10^{18}$ $[\text{e}]$$\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-7/2}5^{-7/2}$
Earth coulomb$6.259598248(13) \times 10^{18}$ $[\text{e}]$$\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-43/2}5^{-35/2}$
abcoulomb$6.24150907276(48) \times 10^{19}$ $[\text{e}]$$\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$
statcoulomb$2.08194332653(16) \times 10^{9}$ $[\text{e}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$

Current Units

NameQuantityProduct
ampere$150.9748847030(12)$ $[\text{a}_0^{-2}\text{e}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-9/2}5^{-7/2}$
abampere$1509.74884703(12)$ $[\text{a}_0^{-2}\text{e}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-7/2}5^{-5/2}$
statampere$5.03598008137(39) \times 10^{-8}$ $[\text{a}_0^{-2}\text{e}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-11/2}5^{-9/2}$

Electromotive Units

NameQuantityProduct
volt$0.0367493221857(28)$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{5/2}5^{7/2}$
abvolt$3.67493221857(28) \times 10^{-10}$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{-11/2}5^{-9/2}$
statvolt$11.01716962788(84)$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{-7/2}5^{-5/2}$

Inductance Units

NameQuantityProduct
henry$1.00630475809(15) \times 10^{13}$ $[\text{a}_0^{2}\text{e}^{-2}]$$\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{8}5^{7}$
abhenry$10063.0475809(15)$ $[\text{a}_0^{2}\text{e}^{-2}]$$\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{-1}5^{-2}$
stathenry$9.0442161272(14) \times 10^{24}$ $[\text{a}_0^{2}\text{e}^{-2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{3}5^{2}$

Resistance Units

NameQuantityProduct
ohm$0.000243413480712(37)$ $[\text{e}^{-2}]$$\text{c}^{-1}\alpha\cdot 2^{7}5^{7}$
abohm$2.43413480712(37) \times 10^{-13}$ $[\text{e}^{-2}]$$\text{c}^{-1}\alpha\cdot 2^{-2}5^{-2}$
statohm$2.18769126364(34) \times 10^{8}$ $[\text{e}^{-2}]$$\text{c}\cdot \alpha\cdot 2^{2}5^{2}$

Conductance Units

NameQuantityProduct
siemens$4108.23589999(63)$ $[\text{e}^{2}]$$\text{c}\cdot \alpha^{-1}2^{-7}5^{-7}$
abmho$4.10823589999(63) \times 10^{12}$ $[\text{e}^{2}]$$\text{c}\cdot \alpha^{-1}2^{2}5^{2}$
statmho$4.57102890440(70) \times 10^{-9}$ $[\text{e}^{2}]$$\text{c}^{-1}\alpha^{-1}2^{-2}5^{-2}$

Capacitance Units

NameQuantityProduct
farad$1.69840114090(26) \times 10^{20}$ $[\text{a}_0^{2}\text{e}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-6}5^{-7}$
abfarad$1.69840114090(26) \times 10^{29}$ $[\text{a}_0^{2}\text{e}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{3}5^{2}$
statfarad$1.88972612463(29) \times 10^{8}$ $[\text{a}_0^{2}\text{e}^{2}]$$\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-1}5^{-2}$

Magnetic Flux Units

NameQuantityProduct
weber$1.51926744829(12) \times 10^{15}$ $[\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{7/2}5^{7/2}$
maxwell$1.51926744829(12) \times 10^{7}$ $[\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$
statfarad$4.55464922683(35) \times 10^{17}$ $[\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$4.2543821585(16) \times 10^{-6}$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$
gauss$4.2543821585(16) \times 10^{-10}$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2^{-5/2}5^{-1/2}$
stattesla$12.7543168456(49)$ $[\text{a}_0^{-2}\text{e}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2^{-1/2}5^{3/2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$6.35764063113(49) \times 10^{-7}$ $[\text{a}_0^{-3}\text{e}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{1/2}\tau^{-5/2}2^{-7/2}5^{-1/2}$
gilbert$120.14199591640(92)$ $[\text{a}_0^{-2}\text{e}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-3/2}2^{-9/2}5^{-5/2}$

Equivalent dimensional quantities

QuantityEquivalent Dimensions
$\mathbb{1}$dimensionless $[\mathbb{1}]$, angle $[A]$, solid angle $[A^{2}]$, photon irradiance $[L^{-2}T]$, photon radiance $[L^{-2}TA^{-2}]$, inertia $[FL^{-1}T^{2}]$, mass $[M]$, gravity force $[F^{-1}MLT^{-2}]$, diffusivity $[L^{2}T^{-1}]$, angular momentum $[FLTA^{-1}]$, action $[FLT]$, susceptibility $[R^{-1}]$, demagnetizing factor $[R]$, entropy $[FLΘ^{-1}]$, specific entropy $[FM^{-1}LΘ^{-1}]$, molar mass $[MN^{-1}]$, molality $[M^{-1}N]$, molar amount $[N]$, molar entropy $[FLΘ^{-1}N^{-1}]$, diffusion flux $[L^{-2}TN]$, luminous efficacy $[F^{-1}L^{-1}TJ]$
$\text{a}_0^{2}$time $[T]$, angular time $[TA^{-1}]$, area $[L^{2}]$, angular area $[L^{2}A^{-2}]$, etendue $[L^{2}A^{2}]$, rotational inertia $[ML^{2}]$, thermal resistance $[F^{-1}L^{-1}TΘ]$, thermal expansion $[Θ^{-1}]$
$\text{a}_0$length $[L]$, angular length $[LA^{-1}]$, stagnance $[L^{-1}T]$, volume flow $[L^{3}T^{-1}]$, specificity $[L^{3}T^{-1}N^{-1}]$
$\text{a}_0^{3}$volume $[L^{3}]$, specific volume $[M^{-1}L^{3}]$, specific susceptibility $[M^{-1}L^{3}A^{-1}R^{-1}]$, magnetic polarizability $[L^{3}A^{-1}R^{-1}]$, thermal resistivity $[F^{-1}TΘ]$, molar volume $[L^{3}N^{-1}]$, molar susceptibility $[L^{3}N^{-1}A^{-1}R^{-1}]$
$\text{a}_0^{-1}$wavenumber $[L^{-1}]$, angular wavenumber $[L^{-1}A]$, speed $[LT^{-1}]$, linear density $[ML^{-1}]$, impulse $[FT]$, momentum $[MLT^{-1}]$
$\text{a}_0^{-2}$fuel efficiency $[L^{-2}]$, frequency $[T^{-1}]$, angular frequency $[T^{-1}A]$, photon intensity $[T^{-1}A^{-2}]$, mass flow $[MT^{-1}]$, area density $[ML^{-2}]$, energy $[FL]$, specific energy $[FM^{-1}L]$, spectral exposure $[FL^{-1}T]$, temperature $[Θ]$, thermal conductance $[FLT^{-1}Θ^{-1}]$, molar energy $[FLN^{-1}]$, catalysis $[T^{-1}N]$, luminous energy $[TJ]$
$\text{a}_0^{-3}$number density $[L^{-3}]$, acceleration $[LT^{-2}]$, density $[ML^{-3}]$, force $[F]$, specific force $[FM^{-1}]$, viscosity $[FL^{-2}T]$, volume heat capacity $[FL^{-2}Θ^{-1}]$, thermal conductivity $[FT^{-1}Θ^{-1}]$, lapse rate $[L^{-1}Θ]$, molarity $[L^{-3}N]$
$\text{a}_0^{-4}$frequency drift $[T^{-2}]$, fluence $[FL^{-1}]$, power $[FLT^{-1}]$, radiant intensity $[FLT^{-1}A^{-2}]$, specific impedance $[FL^{-3}T]$, inertance $[ML^{-4}]$, luminous flux $[J]$, luminous intensity $[JA^{-2}]$, luminous exposure $[L^{-2}TJ]$
$\text{a}_0^{-5}$jerk $[LT^{-3}]$, pressure $[FL^{-2}]$, yank $[MLT^{-3}]$, spectral flux $[FT^{-1}]$
$\text{a}_0^{-7}$snap $[LT^{-4}]$, power density $[FL^{-2}T^{-1}]$
$\text{a}_0^{-9}$crackle $[LT^{-5}]$
$\text{a}_0^{-11}$pop $[LT^{-6}]$
$\text{a}_0^{-6}$specific weight $[FL^{-3}]$, irradiance $[FL^{-1}T^{-1}]$, radiance $[FL^{-1}T^{-1}A^{-2}]$, impedance $[FL^{-5}T]$, luminance $[L^{-2}JA^{-2}]$, illuminance $[L^{-2}J]$
$\text{a}_0^{5}$compressibility $[F^{-1}L^{2}]$
$\text{a}_0^{-8}$sound exposure $[F^{2}L^{-4}T]$
$\text{a}_0^{6}$admittance $[F^{-1}L^{5}T^{-1}]$
$\text{a}_0^{4}$compliance $[M^{-1}T^{2}]$
$\text{e}$charge $[Q]$, exposure $[M^{-1}Q]$, magnetic dipole moment $[L^{2}T^{-1}QA^{-1}C^{-1}]$
$\text{a}_0^{-3}\text{e}$charge density $[L^{-3}Q]$, magnetic field $[L^{-1}T^{-1}QRC^{-1}]$
$\text{a}_0^{-1}\text{e}$linear charge density $[L^{-1}Q]$, specific magnetization $[F^{-1}ML^{-2}T^{-1}QC^{-1}]$, pole strength $[LT^{-1}QA^{-1}C^{-1}]$
$\text{a}_0^{-2}\text{e}^{-1}$mobility $[FL^{3}T^{-1}Q^{-1}]$, electric potential $[FLQ^{-1}]$, magnetic flux density $[FL^{-1}TQ^{-1}C]$
$\text{a}_0^{-2}\text{e}$current $[T^{-1}Q]$, magnetic potential $[T^{-1}QRC^{-1}]$, electric displacement $[L^{-2}QR]$
$\text{a}_0^{-4}\text{e}$current density $[L^{-2}T^{-1}Q]$
$\text{e}^{-2}$resistance $[FLTQ^{-2}]$
$\text{e}^{2}$conductance $[F^{-1}L^{-1}T^{-1}Q^{2}]$
$\text{a}_0\cdot \text{e}^{-2}$resistivity $[FL^{2}TQ^{-2}]$, permeability $[FT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{a}_0^{-1}\text{e}^{2}$conductivity $[F^{-1}L^{-2}T^{-1}Q^{2}]$
$\text{a}_0^{2}\text{e}^{2}$capacitance $[F^{-1}L^{-1}Q^{2}]$
$\text{a}_0^{2}\text{e}^{-2}$inductance $[FLT^{2}Q^{-2}]$, permeance $[FLT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{a}_0^{-2}\text{e}^{2}$reluctance $[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}]$
$\text{a}_0\cdot \text{e}^{2}$permittivity $[F^{-1}L^{-2}Q^{2}R]$, molar conductivity $[F^{-1}T^{-1}Q^{2}N^{-1}]$
$\text{a}_0^{-1}\text{e}^{-1}$vector potential $[FTQ^{-1}C]$, electric flux $[FL^{2}Q^{-1}]$
$\text{a}_0^{-3}\text{e}^{-1}$electric field $[FQ^{-1}]$
$\text{e}^{-1}$magnetic flux $[FLTQ^{-1}C]$
$\text{a}_0\cdot \text{e}$electric dipole moment $[LQ]$
$\text{a}_0^{4}\text{e}^{2}$electric polarizability $[F^{-1}LQ^{2}]$
$\text{a}_0\cdot \text{e}^{-1}$magnetic moment $[FL^{2}TQ^{-1}C]$