IAU☉

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

Standard Constants

NameQuantityProduct
hyperfine transition$7.94243384928 \times 10^{14}$ $[\text{D}^{-1}]$$\Delta\nu_\text{Cs}\cdot 2^{7}3^{3}5^{2}$
light speed$173.1446326742(35)$ $[\text{au}\cdot \text{D}^{-1}]$$\text{c}\cdot \text{au}^{-1}2^{7}3^{3}5^{2}$
Planck$1.286510(27) \times 10^{-81}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}]$$\hbar^{2}\text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
Planck reduced$2.047544(45) \times 10^{-82}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}]$$\hbar^{2}\text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-4}2^{35}3^{17}5^{12}$
electron mass$4.58124(10) \times 10^{-61}$ $[\text{M}_\odot]$$\hbar^{2}\text{R}_{\infty}\cdot \alpha^{-2}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{29}3^{14}5^{10}$
molar mass$5.02915(11) \times 10^{-34}$ $[\text{M}_\odot\cdot \text{mol}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{25}3^{14}5^{7}$
Boltzmann$2.316083(51) \times 10^{-66}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{46}3^{20}5^{17}$
vacuum permeability$4.224533(93) \times 10^{-48}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}]$$\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}$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$4.71247(10) \times 10^{40}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\text{lm}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}\cdot \text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$8.35109(18) \times 10^{-58}$ $[\text{M}_\odot]$$\hbar^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{29}3^{14}5^{10}$
proton mass$8.41186(19) \times 10^{-58}$ $[\text{M}_\odot]$$\hbar^{2}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{29}3^{14}5^{10}$
Planck mass$1.094560(12) \times 10^{-38}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-1}\tau^{-3}2^{28}3^{14}5^{10}$
Newton gravitation$0.0002959122087917961$ $[\text{M}_\odot^{-1}\text{au}^{3}\text{D}^{-2}]$$\text{k}_\text{G}^{2}\tau^{2}2^{-14}3^{-8}5^{-6}$
Gauss gravitation$0.017202098964713464$ $[\text{D}^{-1}]$$\text{k}_\text{G}\cdot \tau\cdot 2^{-7}3^{-4}5^{-3}$
Einstein gravitation$8.27497346775(66) \times 10^{-12}$ $[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{2}]$$\text{c}^{-4}\text{au}^{4}\text{k}_\text{G}^{2}\tau^{3}2^{-40}3^{-20}5^{-14}$
Hartree$7.31361(16) \times 10^{-61}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar^{2}\text{c}^{2}\text{R}_{\infty}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{43}3^{20}5^{14}$
Rydberg$1.641646876230(33) \times 10^{18}$ $[\text{au}^{-1}]$$\text{R}_{\infty}\cdot \text{au}$
Bohr radius$3.53733116940(55) \times 10^{-22}$ $[\text{au}]$$\text{R}_{\infty}^{-1}\alpha\cdot \text{au}^{-1}\tau^{-1}2^{-1}$
electron radius$1.88367676158(87) \times 10^{-26}$ $[\text{au}]$$\text{R}_{\infty}^{-1}\alpha^{3}\text{au}^{-1}\tau^{-1}2^{-1}$
Avogadro$6.0221407621(19) \times 10^{23}$ $[\text{mol}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot 2^{-4}5^{-3}$
Molar gas$1.394778(31) \times 10^{-42}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}\text{mol}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
Stefan-Boltzmann$1.839277(41) \times 10^{-23}$ $[\text{M}_\odot\cdot \text{D}^{-3}\text{K}^{-4}]$$\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar^{2}\text{c}^{-5}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{2}2^{61}3^{22}5^{27}$
radiation density$4.249112(94) \times 10^{-25}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\text{K}^{-4}]$$\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar^{2}\text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{2}2^{56}3^{19}5^{25}$
vacuum permittivity$7.89593(17) \times 10^{42}$ $[\text{M}_\odot^{-1}\text{au}^{-3}\text{D}^{2}\text{C}^{2}]$$\hbar^{-1}\text{c}^{-3}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{-36}3^{-20}5^{-7}$
electrostatic$1.007829(22) \times 10^{-44}$ $[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-2}\text{C}^{-2}]$$\hbar\cdot \text{c}^{3}\text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{20}5^{7}$
magnetostatic$3.361776(74) \times 10^{-49}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{21}3^{14}5^{3}$
Biot-Savart$3.361776(74) \times 10^{-49}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{21}3^{14}5^{3}$
elementary charge$1.60217663444(12) \times 10^{-19}$ $[\text{C}]$$\hbar^{1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{7/2}5^{7/2}$
Faraday$96485.332183(37)$ $[\text{C}\cdot \text{mol}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \tau^{-1/2}2^{-1/2}5^{1/2}$
vacuum impedance$7.31455(16) \times 10^{-46}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}]$$\hbar\cdot \text{c}^{2}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-2}2^{29}3^{17}5^{5}$
conductance quantum$3.990595(88) \times 10^{43}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}]$$\hbar^{-1}\text{c}^{-2}\alpha\cdot \text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{-27}3^{-17}5^{-5}$
Klitzing$5.01178(11) \times 10^{-44}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}]$$\hbar\cdot \text{c}^{2}\alpha^{-1}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-2}2^{28}3^{17}5^{5}$
Josephson$2.490733(55) \times 10^{62}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}]$$\hbar^{-3/2}\text{c}^{-3/2}\alpha^{1/2}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{5/2}2^{-61/2}3^{-17}5^{-17/2}$
magnetic flux quantum$4.014882(89) \times 10^{-63}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}]$$\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}$
magneton$3.5803912082(14) \times 10^{-41}$ $[\text{au}^{2}\text{D}^{-1}\text{C}]$$\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\text{au}^{-2}\tau^{-3/2}2^{17/2}3^{3}5^{11/2}$
Loschmidt$8.99514898792(54) \times 10^{58}$ $[\text{au}^{-3}]$$\text{k}_\text{B}^{-1}\text{au}^{3}\text{T}_0^{-1}\text{atm}$
Wien wavelength$1.93704091016(60) \times 10^{-14}$ $[\text{au}\cdot \text{K}]$
Wien frequency$5.0793918529(16) \times 10^{15}$ $[\text{D}^{-1}\text{K}^{-1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$1.2847(95) \times 10^{22}$ $[\text{M}_\odot]$$\text{c}^{3}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}^{-2}\text{k}_\text{G}^{-2}\tau^{-7/2}2^{37}3^{35/2}5^{16}$
solar mass$1.0$ $[\text{M}_\odot]$$1$
Jupiter mass$0.000954594262(68)$ $[\text{M}_\odot]$$\text{au}^{-3}\text{k}_\text{G}^{-2}\text{GM}_\text{J}\cdot \tau^{-2}2^{28}3^{14}5^{10}$
Earth mass$3.0034896577(60) \times 10^{-6}$ $[\text{M}_\odot]$$\text{au}^{-3}\text{k}_\text{G}^{-2}\text{GM}_\text{E}\cdot \tau^{-2}2^{28}3^{14}5^{10}$
g-force$0.4893535559126(98)$ $[\text{au}\cdot \text{D}^{-2}]$$\text{g}_0\cdot \text{au}^{-1}2^{14}3^{6}5^{4}$
Earth radius$4.2617025856(43) \times 10^{-5}$ $[\text{au}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}$
great circle$0.00026777067070(27)$ $[\text{au}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}\tau$
nautical mile$1.2396790310(12) \times 10^{-8}$ $[\text{au}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$
Hubble$1.895(12) \times 10^{-13}$ $[\text{D}^{-1}]$$\text{H}_0\cdot \text{au}^{-1}\tau\cdot 2^{-3}3^{-1}5^{-4}$
cosmological$2.474(37) \times 10^{-30}$ $[\text{au}^{-2}]$$\text{c}^{-2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\tau^{2}2^{-20}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$1.1574074074074079 \times 10^{-5}$ $[\text{D}]$$2^{-7}3^{-3}5^{-2}$
minute$0.0006944444444444445$ $[\text{D}]$$2^{-5}3^{-2}5^{-1}$
hour$0.041666666666666664$ $[\text{D}]$$2^{-3}3^{-1}$
day$1.0$ $[\text{D}]$$1$
year$365.25$ $[\text{D}]$$\text{a}_\text{j}$

Length Units

NameQuantityProduct
angstrom$6.68458712227(13) \times 10^{-22}$ $[\text{au}]$$\text{au}^{-1}2^{-10}5^{-10}$
inch$1.697885129056(34) \times 10^{-13}$ $[\text{au}]$$\text{au}^{-1}\text{ft}\cdot 2^{-2}3^{-1}$
foot$2.037462154867(41) \times 10^{-12}$ $[\text{au}]$$\text{au}^{-1}\text{ft}$
survey foot$2.037466229800(41) \times 10^{-12}$ $[\text{au}]$$\text{au}^{-1}\text{ft}_\text{US}$
yard$6.11238646460(12) \times 10^{-12}$ $[\text{au}]$$\text{au}^{-1}\text{ft}\cdot 3$
meter$6.68458712227(13) \times 10^{-12}$ $[\text{au}]$$\text{au}^{-1}$
Earth meter$6.6942667674(67) \times 10^{-12}$ $[\text{au}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}5^{-7}$
mile$1.075780017770(22) \times 10^{-8}$ $[\text{au}]$$\text{au}^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$
statute mile$1.075782169334(22) \times 10^{-8}$ $[\text{au}]$$\text{au}^{-1}\text{ft}_\text{US}\cdot 2^{5}3\cdot 5\cdot 11$
meridian mile$1.237886504124(25) \times 10^{-8}$ $[\text{au}]$$\text{au}^{-1}2^{4}3^{-3}5^{5}$
admiralty mile$1.238776990159(25) \times 10^{-8}$ $[\text{au}]$$\text{au}^{-1}\text{ft}\cdot 2^{6}5\cdot 19$
nautical mile$1.2396790310(12) \times 10^{-8}$ $[\text{au}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$
lunar distance$0.002569548605213(52)$ $[\text{au}]$$\text{au}^{-1}2^{3}3^{3}5^{3}14237$
astronomical unit$1.0$ $[\text{au}]$$1$
Jupiter distance$5.20381069836(10)$ $[\text{au}]$$\text{au}^{-1}2^{6}3\cdot 5^{6}259493$
light-year$63241.0770843(13)$ $[\text{au}]$$\text{c}\cdot \text{a}_\text{j}\cdot \text{au}^{-1}2^{7}3^{3}5^{2}$
parsec$206264.80624709636$ $[\text{au}]$$\tau^{-1}2^{7}3^{4}5^{3}$

Speed Units

NameQuantityProduct
Bubnoff$1.830140211436(37) \times 10^{-14}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{a}_\text{j}^{-1}\text{au}^{-1}$
feet per minute$2.933945503009(59) \times 10^{-9}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}\text{ft}\cdot 2^{5}3^{2}5$
inches per second$1.466972751505(29) \times 10^{-8}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}\text{ft}\cdot 2^{5}3^{2}5^{2}$
kilometers per hour$1.604300909344(32) \times 10^{-7}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}2^{6}3\cdot 5^{3}$
feet per second$1.760367301805(35) \times 10^{-7}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}\text{ft}\cdot 2^{7}3^{3}5^{2}$
miles per hour$2.581872042648(52) \times 10^{-7}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}\text{ft}\cdot 2^{8}3^{2}5\cdot 11$
knot$2.9752296744(30) \times 10^{-7}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{g}_0^{-1/2}\text{au}^{-1}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-2}3^{-2}5^{-2}$
meters per second$5.77548327364(12) \times 10^{-7}$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}2^{7}3^{3}5^{2}$
miles per second$0.000929473935353(19)$ $[\text{au}\cdot \text{D}^{-1}]$$\text{au}^{-1}\text{ft}\cdot 2^{12}3^{4}5^{3}11$

Area Units

NameQuantityProduct
barn$4.46837049952(18) \times 10^{-51}$ $[\text{au}^{2}]$$\text{au}^{-2}2^{-28}5^{-28}$
hectare$4.46837049952(18) \times 10^{-19}$ $[\text{au}^{2}]$$\text{au}^{-2}2^{4}5^{4}$
acre$1.808285385364(73) \times 10^{-19}$ $[\text{au}^{2}]$$\text{au}^{-2}\text{ft}^{2}2^{3}3^{2}5\cdot 11^{2}$
survey acre$1.808292618528(73) \times 10^{-19}$ $[\text{au}^{2}]$$\text{au}^{-2}\text{ft}_\text{US}^{2}2^{3}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$2.98692118986(18) \times 10^{-37}$ $[\text{au}^{3}]$$\text{au}^{-3}2^{-3}5^{-3}$
gallon$1.130672666998(68) \times 10^{-36}$ $[\text{au}^{3}]$$\text{au}^{-3}\text{ft}^{3}2^{-6}3^{-2}7\cdot 11$
quart$2.82668166750(17) \times 10^{-37}$ $[\text{au}^{3}]$$\text{au}^{-3}\text{ft}^{3}2^{-8}3^{-2}7\cdot 11$
pint$1.413340833748(85) \times 10^{-37}$ $[\text{au}^{3}]$$\text{au}^{-3}\text{ft}^{3}2^{-9}3^{-2}7\cdot 11$
cup$7.06670416874(43) \times 10^{-38}$ $[\text{au}^{3}]$$\text{au}^{-3}\text{ft}^{3}2^{-10}3^{-2}7\cdot 11$
fluid ounce$8.83338021092(53) \times 10^{-39}$ $[\text{au}^{3}]$$\text{au}^{-3}\text{ft}^{3}2^{-13}3^{-2}7\cdot 11$
teaspoon$1.493460594931(90) \times 10^{-39}$ $[\text{au}^{3}]$$\text{au}^{-3}2^{-6}5^{-5}$
tablespoon$4.48038178479(27) \times 10^{-39}$ $[\text{au}^{3}]$$\text{au}^{-3}2^{-6}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$5.02915(11) \times 10^{-34}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{25}3^{14}5^{7}$
Earth gram$5.05102(11) \times 10^{-34}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{g}_0^{-3/2}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\text{GM}_\text{E}^{3/2}2^{-2}3^{14}5^{-14}$
kilogram$5.02915(11) \times 10^{-31}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
tonne$5.02915(11) \times 10^{-28}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{31}3^{14}5^{13}$
ton$4.56236(10) \times 10^{-28}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{32}3^{14}5^{13}$
pound (mass)$2.281182(50) \times 10^{-31}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
ounce$1.425739(31) \times 10^{-32}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{24}3^{14}5^{10}$
grain$3.258832(72) \times 10^{-35}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{25}3^{14}5^{7}7^{-1}$
slug$7.33949(16) \times 10^{-30}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-3}\text{ft}^{-1}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
slinch$8.80738(19) \times 10^{-29}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-3}\text{ft}^{-1}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{30}3^{15}5^{10}$
hyl$4.93191(11) \times 10^{-30}$ $[\text{M}_\odot]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$

Force Units

NameQuantityProduct
dyne$2.509553(55) \times 10^{-37}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{37}3^{20}5^{9}$
newton$2.509553(55) \times 10^{-32}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
poundal$3.469581(77) \times 10^{-33}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{ft}\cdot \text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
pound (force)$1.116305(25) \times 10^{-31}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-4}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
kilopond$2.461030(54) \times 10^{-31}$ $[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$

Presure Units

NameQuantityProduct
pounds per square inch$3.872274(85) \times 10^{-6}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-2}\text{ft}^{-2}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{46}3^{22}5^{14}$
pascal$5.61626(12) \times 10^{-10}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
barye$5.61626(12) \times 10^{-11}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{41}3^{20}5^{13}$
bar$5.61626(12) \times 10^{-5}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{47}3^{20}5^{19}$
technical atmosphere$5.50767(12) \times 10^{-5}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{46}3^{20}5^{18}$
atmosphere$5.69067(13) \times 10^{-5}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{atm}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
inch mercury$1.901884(42) \times 10^{-6}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{in}_\text{Hg}^{-1}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
torr$7.48773(17) \times 10^{-8}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{atm}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{39}3^{20}5^{13}19^{-1}$

Energy Units

NameQuantityProduct
erg$1.677532(37) \times 10^{-50}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{20}5^{7}$
joule$1.677532(37) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
foot-pound$2.274428(50) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-5}\text{ft}\cdot \text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
calorie$7.02339(15) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{44}3^{22}5^{15}43^{-1}$
kilocalorie$7.02339(15) \times 10^{-40}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{47}3^{22}5^{18}43^{-1}$
mean calorie$7.02356(15) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{44}3^{22}5^{15}43^{-1}1.0001900224889804$
Earth calorie$7.05394(16) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{g}_0^{-3/2}\text{au}^{-5}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\text{GM}_\text{E}^{3/2}2^{17}3^{22}5^{-6}43^{-1}$
British thermal unit$1.769864(39) \times 10^{-40}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{47}3^{20}5^{19}43^{-1}$
gas gallon$2.017645(44) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{51}3^{21}5^{22}19\cdot 43^{-1}$
ton TNT$7.02339(15) \times 10^{-34}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{53}3^{22}5^{24}43^{-1}$
electronvolt$2.687703(59) \times 10^{-62}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{e}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$

Power Units

NameQuantityProduct
watt$1.449388(32) \times 10^{-38}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
horsepower (Watt)$1.066792(24) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-5}\text{ft}\cdot \text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-2}2^{53}3^{26}5^{15}$
horsepower (Metric)$1.066023(24) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{24}5^{18}$
horsepower$1.080808(24) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-5}\text{ft}\cdot \text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{50}3^{23}5^{18}11$
electrical horsepower$1.081243(24) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{50}3^{23}5^{16}373$
tons refrigeration$5.09721(11) \times 10^{-35}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{55}3^{22}5^{22}43^{-1}$
boiler horsepower$1.421909(31) \times 10^{-34}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{50}3^{21}5^{21}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$1.0$ $[\text{K}]$$1$
Rankine$0.5555555555555556$ $[\text{K}]$$3^{-2}5$
Celsius$273.15$ $[\text{K}]$$\text{T}_0$
Fahrenheit$255.37222222222223$ $[\text{K}]$$3^{-2}5459.67$
sea level$288.15$ $[\text{K}]$$288.15$
boiling$373.1339$ $[\text{K}]$$373.1339$
mole$1.0$ $[\text{mol}]$$1$
Earth-mole$1.0043504565(30)$ $[\text{mol}]$$\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-27}5^{-21}$
pound-mole$453.59237$ $[\text{mol}]$$\text{lb}\cdot 2^{3}5^{3}$
slug-mole$14593.902937206363$ $[\text{mol}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{3}5^{3}$
slinch-mole$175126.83524647637$ $[\text{mol}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{5}3\cdot 5^{3}$
katal$86400.0$ $[\text{D}^{-1}\text{mol}]$$2^{7}3^{3}5^{2}$
amagat$1.49367963044(47) \times 10^{35}$ $[\text{au}^{-3}\text{mol}]$$\text{k}_\text{B}^{-1}\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{au}^{3}\text{T}_0^{-1}\text{atm}\cdot 2^{4}5^{3}$

Photometric Units

NameQuantityProduct
lumen$1.0$ $[\text{lm}]$$1$
candela$1.0$ $[\text{lm}]$$1$
lux$2.237952291797(90) \times 10^{22}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}$
phot$2.237952291797(90) \times 10^{26}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}2^{4}5^{4}$
foot-candle$2.408911798578(97) \times 10^{23}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}\text{ft}^{-2}$
nit$2.237952291797(90) \times 10^{22}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}$
abostilb$7.12362339287(29) \times 10^{21}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}\tau^{-1}2$
stilb$2.237952291797(90) \times 10^{26}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}2^{4}5^{4}$
lambert$7.12362339287(29) \times 10^{25}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}\tau^{-1}2^{5}5^{4}$
foot-lambert$7.66780440432(31) \times 10^{22}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}\text{ft}^{-2}\tau^{-1}2$
bril$7.12362339287(29) \times 10^{14}$ $[\text{au}^{-2}\text{lm}]$$\text{au}^{2}\tau^{-1}2^{-6}5^{-7}$
talbot$1.1574074074074079 \times 10^{-5}$ $[\text{D}\cdot \text{lm}]$$2^{-7}3^{-3}5^{-2}$
lumerg$1.1574074074074076 \times 10^{-12}$ $[\text{D}\cdot \text{lm}]$$2^{-14}3^{-3}5^{-9}$

Sepcialized Units

NameQuantityProduct
hertz$86400.0$ $[\text{D}^{-1}]$$2^{7}3^{3}5^{2}$
actions per minute$1440.0$ $[\text{D}^{-1}]$$2^{5}3^{2}5$
revolutions per minute$9047.786842338604$ $[\text{D}^{-1}]$$\tau\cdot 2^{5}3^{2}5$
kayser$1.495978707000(30) \times 10^{13}$ $[\text{au}^{-1}]$$\text{au}\cdot 2^{2}5^{2}$
diopter$1.495978707000(30) \times 10^{11}$ $[\text{au}^{-1}]$$\text{au}$
rayleigh$2.59022255995(10) \times 10^{27}$ $[\text{au}^{-2}\text{D}]$$\text{au}^{2}2^{3}3^{-3}5^{8}$
flick$485245.0 (\pm 11.0)$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-3}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{59}3^{23}5^{26}$
g-force$0.4893535559126(98)$ $[\text{au}\cdot \text{D}^{-2}]$$\text{g}_0\cdot \text{au}^{-1}2^{14}3^{6}5^{4}$
galileo$0.000499001754842(10)$ $[\text{au}\cdot \text{D}^{-2}]$$\text{au}^{-1}2^{12}3^{6}5^{2}$
eotvos$7.4649600000000005$ $[\text{D}^{-2}]$$2^{5}3^{6}5^{-5}$
darcy$4.40993881028(18) \times 10^{-35}$ $[\text{au}^{2}]$$\text{au}^{-2}\text{atm}^{-1}2^{-7}5^{-7}$
poise$6.50030(14) \times 10^{-16}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{34}3^{17}5^{11}$
reyn$4.481799(99) \times 10^{-11}$ $[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}]$$\hbar\cdot \text{c}\cdot \text{g}_0\cdot \text{au}^{-2}\text{ft}^{-2}\text{lb}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{39}3^{19}5^{12}$
stokes$3.86067211159(15) \times 10^{-22}$ $[\text{au}^{2}\text{D}^{-1}]$$\text{au}^{-2}2^{3}3^{3}5^{-2}$
rayl$0.000972431(21)$ $[\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-1}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
mpg equivalent$5.33186(12) \times 10^{26}$ $[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-46}3^{-20}5^{-21}11\cdot 19^{-1}43$
langley$1.571801(35) \times 10^{-16}$ $[\text{M}_\odot\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{48}3^{22}5^{19}43^{-1}$
jansky$3.754237(83) \times 10^{-47}$ $[\text{M}_\odot\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{16}3^{20}5^{-12}$
solar flux$3.754237(83) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{D}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{20}3^{20}5^{-8}$
curie$3.1968 \times 10^{15}$ $[\text{D}^{-1}]$$2^{16}3^{3}5^{11}37$
gray$3.33562070441(13) \times 10^{-13}$ $[\text{au}^{2}\text{D}^{-2}]$$\text{au}^{-2}2^{14}3^{6}5^{4}$
roentgen$5.12964(11) \times 10^{26}$ $[\text{M}_\odot^{-1}\text{C}]$$\hbar^{-1}\text{c}^{-2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-23}3^{-14}5^{-5}/1.293$

Charge Units

NameQuantityProduct
coulomb$1.0$ $[\text{C}]$$1$
Earth coulomb$1.0028982055(20)$ $[\text{C}]$$\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{2}2^{-18}5^{-14}$
abcoulomb$10.0$ $[\text{C}]$$2\cdot 5$
statcoulomb$3.3356409519815207 \times 10^{-10}$ $[\text{C}]$$\text{c}^{-1}2^{-1}5^{-1}$

Current Units

NameQuantityProduct
ampere$86400.0$ $[\text{D}^{-1}\text{C}]$$2^{7}3^{3}5^{2}$
abampere$864000.0$ $[\text{D}^{-1}\text{C}]$$2^{8}3^{3}5^{3}$
statampere$2.8819937825120337 \times 10^{-5}$ $[\text{D}^{-1}\text{C}]$$\text{c}^{-1}2^{6}3^{3}5$

Electromotive Units

NameQuantityProduct
volt$1.677532(37) \times 10^{-43}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
abvolt$1.677532(37) \times 10^{-51}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{34}3^{20}5^{6}$
statvolt$5.02912(11) \times 10^{-41}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{C}^{-1}]$$\hbar\cdot \text{c}^{2}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{36}3^{20}5^{8}$

Inductance Units

NameQuantityProduct
henry$2.247209(50) \times 10^{-53}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
abhenry$2.247209(50) \times 10^{-62}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{19}3^{14}5$
stathenry$2.019690(45) \times 10^{-41}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}]$$\hbar\cdot \text{c}^{3}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{23}3^{14}5^{5}$

Resistance Units

NameQuantityProduct
ohm$1.941588(43) \times 10^{-48}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
abohm$1.941588(43) \times 10^{-57}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{26}3^{17}5^{3}$
statohm$1.745013(38) \times 10^{-36}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}]$$\hbar\cdot \text{c}^{3}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{30}3^{17}5^{7}$

Conductance Units

NameQuantityProduct
siemens$5.15042(11) \times 10^{47}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$
abmho$5.15042(11) \times 10^{56}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-26}3^{-17}5^{-3}$
statmho$5.73062(13) \times 10^{35}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}]$$\hbar^{-1}\text{c}^{-3}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-30}3^{-17}5^{-7}$

Capacitance Units

NameQuantityProduct
farad$5.96114(13) \times 10^{42}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\text{C}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
abfarad$5.96114(13) \times 10^{51}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\text{C}^{2}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-33}3^{-20}5^{-5}$
statfarad$6.63266(15) \times 10^{30}$ $[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\text{C}^{2}]$$\hbar^{-1}\text{c}^{-3}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-37}3^{-20}5^{-9}$

Magnetic Flux Units

NameQuantityProduct
weber$1.941588(43) \times 10^{-48}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
maxwell$1.941588(43) \times 10^{-56}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{27}3^{17}5^{4}$
statfarad$5.82074(13) \times 10^{-46}$ $[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}^{2}\text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{29}3^{17}5^{6}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$4.345182(96) \times 10^{-26}$ $[\text{M}_\odot\cdot \text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
gauss$4.345182(96) \times 10^{-30}$ $[\text{M}_\odot\cdot \text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{31}3^{17}5^{8}$
stattesla$1.302653(29) \times 10^{-19}$ $[\text{M}_\odot\cdot \text{D}^{-1}\text{C}^{-1}]$$\hbar\cdot \text{c}^{2}\text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{33}3^{17}5^{10}$

Magnetic Specialized Units

NameQuantityProduct
oersted$1.028559193830(21) \times 10^{18}$ $[\text{au}^{-1}\text{D}^{-1}\text{C}]$$\text{au}\cdot \tau^{-1}2^{9}3^{3}5^{5}$
gilbert$68754.93541569878$ $[\text{D}^{-1}\text{C}]$$\tau^{-1}2^{7}3^{3}5^{3}$

Equivalent dimensional quantities

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