Edit on GitHub

Planck

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

Standard Constants

NameQuantityProduct
hyperfine transition$1.756847(19) \times 10^{-33}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\Delta\nu_\text{Cs}\cdot \text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
light speed$1.0$ $[\mathbb{1}]$$1$
Planck$6.283185307179586$ $[\mathbb{1}]$$\tau$
Planck reduced$1.0$ $[\mathbb{1}]$$1$
electron mass$1.483708(16) \times 10^{-22}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$
molar mass$1.0$ $[\mathbb{1}]$$1$
Boltzmann$1.0$ $[\mathbb{1}]$$1$
vacuum permeability$1.0$ $[\mathbb{1}]$$1$
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}]$$\tau\cdot 2$
Dalton$2.704634(30) \times 10^{-19}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$
proton mass$2.724314(30) \times 10^{-19}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$
Planck mass$3.5449077018110318$ $[\text{M}]$$\tau^{1/2}2^{1/2}$
Newton gravitation$0.07957747154594767$ $[\text{M}^{-2}]$$\tau^{-1}2^{-1}$
Gauss gravitation$3.805063(42) \times 10^{-50}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{k}_\text{G}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{-27/2}3^{-7}5^{-5}$
Einstein gravitation$2.0$ $[\text{M}^{-2}]$$2$
Hartree$7.900946(87) \times 10^{-27}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$
Rydberg$6.287373(69) \times 10^{-28}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
Bohr radius$9.23605(10) \times 10^{23}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$
electron radius$4.918321(54) \times 10^{19}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3}\text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$
Avogadro$3.697358(41) \times 10^{18}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$
Molar gas$3.697358(41) \times 10^{18}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$
Stefan-Boltzmann$0.16449340668482262$ $[\mathbb{1}]$$\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density$0.6579736267392905$ $[\mathbb{1}]$$\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity$1.0$ $[\mathbb{1}]$$1$
electrostatic$0.07957747154594767$ $[\mathbb{1}]$$\tau^{-1}2^{-1}$
magnetostatic$0.07957747154594767$ $[\mathbb{1}]$$\tau^{-1}2^{-1}$
Biot-Savart$0.07957747154594767$ $[\mathbb{1}]$$\tau^{-1}2^{-1}$
elementary charge$0.302822120872(23)$ $[\mathbb{1}]$$\alpha^{1/2}\tau^{1/2}2^{1/2}$
Faraday$1.119642(12) \times 10^{18}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
vacuum impedance$1.0$ $[\mathbb{1}]$$1$
conductance quantum$0.0291894102771(45)$ $[\mathbb{1}]$$\alpha\cdot 2^{2}$
Klitzing$68.517999542(10)$ $[\mathbb{1}]$$\alpha^{-1}2^{-1}$
Josephson$0.0963912748286(74)$ $[\mathbb{1}]$$\alpha^{1/2}\tau^{-1/2}2^{3/2}$
magnetic flux quantum$10.374382969600(79)$ $[\mathbb{1}]$$\alpha^{-1/2}\tau^{1/2}2^{-3/2}$
magneton$1.020491(11) \times 10^{21}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$
Loschmidt$5.05332(17) \times 10^{-78}$ $[\text{M}^{3}]$$\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-3}\tau^{-3/2}2^{3/2}$
mechanical heat$1.861800(21) \times 10^{18}$ $[\text{M}]$$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}\cdot \tau^{-1/2}2^{1/2}3^{2}5\cdot 43^{-1}$
Wien wavelength$1.2654664150541133$ $[\mathbb{1}]$
Wien frequency$0.44904602270732236$ $[\mathbb{1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$4.161(31) \times 10^{60}$ $[\text{M}]$$\hbar^{-1}\text{c}^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}\cdot 2^{19/2}3^{7/2}5^{6}$
solar mass$3.238659(36) \times 10^{38}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot \tau^{7/2}2^{-55/2}3^{-14}5^{-10}$
Jupiter mass$3.091605(34) \times 10^{35}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot \text{GM}_\text{J}\cdot \tau^{3/2}2^{1/2}$
Earth mass$9.72728(11) \times 10^{32}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot \text{GM}_\text{E}\cdot \tau^{3/2}2^{1/2}$
g-force$6.251643(69) \times 10^{-51}$ $[\text{M}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
Earth radius$1.112740(12) \times 10^{41}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{1/2}2^{-1/2}$
great circle$6.991551(77) \times 10^{41}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-1/2}$
nautical mile$3.236829(36) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-11/2}3^{-3}5^{-2}$
Hubble$4.191(26) \times 10^{-61}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{H}_0\cdot \text{au}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-19/2}3^{-4}5^{-6}$
cosmological$3.629(54) \times 10^{-121}$ $[\text{M}^{2}]$$\hbar^{2}\text{c}^{-4}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-2}\tau\cdot 2^{-19}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$5.232459(58) \times 10^{42}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$
minute$3.139475(35) \times 10^{44}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau^{1/2}2^{3/2}3\cdot 5$
hour$1.883685(21) \times 10^{46}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau^{1/2}2^{7/2}3^{2}5^{2}$
day$4.520844(50) \times 10^{47}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau^{1/2}2^{13/2}3^{3}5^{2}$
year$1.651238(18) \times 10^{50}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{13/2}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$1.745360(19) \times 10^{24}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-21/2}5^{-10}$
inch$4.433215(49) \times 10^{32}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-5/2}3^{-1}$
foot$5.319858(59) \times 10^{33}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$
survey foot$5.319869(59) \times 10^{33}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$
yard$1.595958(18) \times 10^{34}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}3$
meter$1.745360(19) \times 10^{34}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$
Earth meter$1.747888(19) \times 10^{34}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-19/2}5^{-7}$
mile$2.808885(31) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{9/2}3\cdot 5\cdot 11$
statute mile$2.808891(31) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{9/2}3\cdot 5\cdot 11$
meridian mile$3.232149(36) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{7/2}3^{-3}5^{5}$
admiralty mile$3.234474(36) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{11/2}5\cdot 19$
nautical mile$3.236829(36) \times 10^{37}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-11/2}3^{-3}5^{-2}$
lunar distance$6.709148(74) \times 10^{42}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{5/2}3^{3}5^{3}14237$
astronomical unit$2.611022(29) \times 10^{45}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{au}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$
Jupiter distance$1.358726(15) \times 10^{46}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{11/2}3\cdot 5^{6}259493$
light-year$1.651238(18) \times 10^{50}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau^{1/2}2^{13/2}3^{3}5^{2}$
parsec$5.385619(59) \times 10^{50}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{au}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{13/2}3^{4}5^{3}$

Speed Units

NameQuantityProduct
Bubnoff$1.0570008340246158 \times 10^{-16}$ $[\mathbb{1}]$$\text{c}^{-1}\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$
feet per minute$1.6945056036066124 \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$
inches per second$8.472528018033061 \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}$
kilometers per hour$9.265669311059779 \times 10^{-10}$ $[\mathbb{1}]$$\text{c}^{-1}2^{-1}3^{-2}5$
feet per second$1.0167033621639674 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}$
miles per hour$1.4911649311738188 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$
knot$1.7183493525(17) \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}3^{-5}5^{-4}$
meters per second$3.3356409519815204 \times 10^{-9}$ $[\mathbb{1}]$$\text{c}^{-1}$
miles per second$5.368193752225748 \times 10^{-6}$ $[\mathbb{1}]$$\text{c}^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$

Area Units

NameQuantityProduct
barn$3.046283(67) \times 10^{40}$ $[\text{M}^{-2}]$$\hbar^{-2}\text{c}^{2}\text{m}_\text{P}^{2}\tau\cdot 2^{-29}5^{-28}$
hectare$3.046283(67) \times 10^{72}$ $[\text{M}^{-2}]$$\hbar^{-2}\text{c}^{2}\text{m}_\text{P}^{2}\tau\cdot 2^{3}5^{4}$
acre$1.232787(27) \times 10^{72}$ $[\text{M}^{-2}]$$\hbar^{-2}\text{c}^{2}\text{ft}^{2}\text{m}_\text{P}^{2}\tau\cdot 2^{2}3^{2}5\cdot 11^{2}$
survey acre$1.232792(27) \times 10^{72}$ $[\text{M}^{-2}]$$\hbar^{-2}\text{c}^{2}\text{ft}_\text{US}^{2}\text{m}_\text{P}^{2}\tau\cdot 2^{2}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$5.31686(18) \times 10^{99}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-9/2}5^{-3}$
gallon$2.012651(67) \times 10^{100}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-15/2}3^{-2}7\cdot 11$
quart$5.03163(17) \times 10^{99}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-19/2}3^{-2}7\cdot 11$
pint$2.515814(83) \times 10^{99}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-21/2}3^{-2}7\cdot 11$
cup$1.257907(42) \times 10^{99}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-23/2}3^{-2}7\cdot 11$
fluid ounce$1.572384(52) \times 10^{98}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-29/2}3^{-2}7\cdot 11$
teaspoon$2.658431(88) \times 10^{97}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-15/2}5^{-5}$
tablespoon$7.97529(26) \times 10^{97}$ $[\text{M}^{-3}]$$\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3/2}2^{-15/2}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$162876.9(18)$ $[\text{M}]$$\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}$
Earth gram$163585.5(18)$ $[\text{M}]$$\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-59/2}5^{-24}$
kilogram$1.628769(18) \times 10^{8}$ $[\text{M}]$$\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
tonne$1.628769(18) \times 10^{11}$ $[\text{M}]$$\text{m}_\text{P}^{-1}\tau^{1/2}2^{7/2}5^{3}$
ton$1.477594(16) \times 10^{11}$ $[\text{M}]$$\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$
pound (mass)$7.387971(81) \times 10^{7}$ $[\text{M}]$$\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
ounce$4.617482(51) \times 10^{6}$ $[\text{M}]$$\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{-7/2}$
grain$10554.24(12)$ $[\text{M}]$$\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}7^{-1}$
slug$2.377009(26) \times 10^{9}$ $[\text{M}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
slinch$2.852411(31) \times 10^{10}$ $[\text{M}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3$
hyl$1.597277(18) \times 10^{9}$ $[\text{M}]$$\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$

Force Units

NameQuantityProduct
dyne$1.038324(23) \times 10^{-48}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}2^{-4}5^{-5}$
newton$1.038324(23) \times 10^{-43}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}2$
poundal$1.435534(32) \times 10^{-44}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-3}\text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}2$
pound (force)$4.61870(10) \times 10^{-43}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}2$
kilopond$1.018248(22) \times 10^{-42}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-2}2$

Presure Units

NameQuantityProduct
pounds per square inch$2.35007(10) \times 10^{-108}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-4}\tau^{-1}2^{6}3^{2}$
pascal$3.40850(15) \times 10^{-112}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
barye$3.40850(15) \times 10^{-113}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-1}2\cdot 5^{-1}$
bar$3.40850(15) \times 10^{-107}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-1}2^{7}5^{5}$
technical atmosphere$3.34259(15) \times 10^{-107}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{g}_0\cdot \text{m}_\text{P}^{-4}\tau^{-1}2^{6}5^{4}$
atmosphere$3.45366(15) \times 10^{-107}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
inch mercury$1.154249(51) \times 10^{-108}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{in}_\text{Hg}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
torr$4.54429(20) \times 10^{-110}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-5}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-1}2^{-1}5^{-1}19^{-1}$

Energy Units

NameQuantityProduct
erg$1.812250(20) \times 10^{-16}$ $[\text{M}]$$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-13/2}5^{-7}$
joule$1.812250(20) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
foot-pound$2.457081(27) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
calorie$7.587413(84) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3^{2}5\cdot 43^{-1}$
kilocalorie$7.587413(84) \times 10^{-6}$ $[\text{M}]$$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{11/2}3^{2}5^{4}43^{-1}$
mean calorie$7.587603(84) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie$7.620422(84) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-49/2}3^{2}5^{-20}43^{-1}$
British thermal unit$1.911996(21) \times 10^{-6}$ $[\text{M}]$$\text{c}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{11/2}5^{5}43^{-1}$
gas gallon$0.2179675(24)$ $[\text{M}]$$\text{c}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{19/2}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT$7.587413(84)$ $[\text{M}]$$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{23/2}3^{2}5^{10}43^{-1}$
electronvolt$2.903544(32) \times 10^{-28}$ $[\text{M}]$$\text{c}^{-2}\text{e}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$

Power Units

NameQuantityProduct
watt$3.463476(76) \times 10^{-52}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{m}_\text{P}^{-2}2$
horsepower (Watt)$2.549219(56) \times 10^{-49}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau\cdot 2^{5}3^{3}5^{-1}$
horsepower (Metric)$2.547382(56) \times 10^{-49}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{m}_\text{P}^{-2}2\cdot 3\cdot 5^{2}$
horsepower$2.582714(57) \times 10^{-49}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}2^{2}5^{2}11$
electrical horsepower$2.583753(57) \times 10^{-49}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{m}_\text{P}^{-2}2^{2}373$
tons refrigeration$1.218035(27) \times 10^{-48}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}2^{7}3^{-1}5^{6}43^{-1}$
boiler horsepower$3.397811(75) \times 10^{-48}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}2^{2}3^{-2}5^{5}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$2.502081(28) \times 10^{-32}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$
Rankine$1.390045(15) \times 10^{-32}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}3^{-2}5^{4}$
Celsius$6.834433(75) \times 10^{-30}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$
Fahrenheit$6.389619(70) \times 10^{-30}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}3^{-2}5^{4}459.67$
sea level$7.209745(80) \times 10^{-30}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}288.15$
boiling$9.33611(10) \times 10^{-30}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}373.1339$
mole$162876.9(18)$ $[\text{M}]$$\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}$
Earth-mole$163585.5(18)$ $[\text{M}]$$\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-59/2}5^{-24}$
pound-mole$7.387971(81) \times 10^{7}$ $[\text{M}]$$\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
slug-mole$2.377009(26) \times 10^{9}$ $[\text{M}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
slinch-mole$2.852411(31) \times 10^{10}$ $[\text{M}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3$
katal$3.112817(69) \times 10^{-38}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-2}2^{-2}5^{-3}$
amagat$1.366738(60) \times 10^{-96}$ $[\text{M}^{4}]$$\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-1}2^{3}$

Photometric Units

NameQuantityProduct
lumen$5.07083(11) \times 10^{-55}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}2$
candela$5.07083(11) \times 10^{-55}$ $[\text{M}^{2}]$$\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}2$
lux$1.664596(73) \times 10^{-123}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
phot$1.664596(73) \times 10^{-119}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{6}5^{4}$
foot-candle$1.791756(79) \times 10^{-122}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
nit$1.664596(73) \times 10^{-123}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
abostilb$5.29857(23) \times 10^{-124}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{3}$
stilb$1.664596(73) \times 10^{-119}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{6}5^{4}$
lambert$5.29857(23) \times 10^{-120}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{7}5^{4}$
foot-lambert$5.70334(25) \times 10^{-123}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-2}2^{3}$
bril$5.29857(23) \times 10^{-131}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{-4}5^{-7}$
talbot$2.653290(29) \times 10^{-12}$ $[\text{M}]$$\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$
lumerg$2.653290(29) \times 10^{-19}$ $[\text{M}]$$\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-13/2}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$1.911147(21) \times 10^{-43}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
actions per minute$3.185246(35) \times 10^{-45}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-3/2}3^{-1}5^{-1}$
revolutions per minute$2.001349(22) \times 10^{-44}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-3/2}3^{-1}5^{-1}$
kayser$5.729476(63) \times 10^{-33}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{5/2}5^{2}$
diopter$5.729476(63) \times 10^{-35}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
rayleigh$1.717654(19) \times 10^{-16}$ $[\text{M}]$$\hbar\cdot \text{m}_\text{P}^{-1}\tau^{-1/2}2^{21/2}5^{10}$
flick$6.51414(35) \times 10^{-145}$ $[\text{M}^{5}]$$\hbar^{4}\text{c}^{-7}\text{m}_\text{P}^{-5}\tau^{-3/2}2^{25/2}5^{10}$
g-force$6.251643(69) \times 10^{-51}$ $[\text{M}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$
galileo$6.374902(70) \times 10^{-54}$ $[\text{M}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-3/2}5^{-2}$
eotvos$3.652484(81) \times 10^{-95}$ $[\text{M}^{2}]$$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-2}\tau^{-1}2^{-8}5^{-9}$
darcy$3.006447(66) \times 10^{56}$ $[\text{M}^{-2}]$$\hbar^{-2}\text{c}^{2}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau\cdot 2^{-8}5^{-7}$
poise$1.783481(59) \times 10^{-70}$ $[\text{M}^{3}]$$\hbar^{2}\text{c}^{-3}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{1/2}5^{-1}$
reyn$1.229667(41) \times 10^{-65}$ $[\text{M}^{3}]$$\hbar^{2}\text{c}^{-3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-3}\tau^{-1/2}2^{11/2}3^{2}$
stokes$5.821896(64) \times 10^{21}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{m}_\text{P}\cdot \tau^{1/2}2^{-9/2}5^{-4}$
rayl$1.021841(45) \times 10^{-103}$ $[\text{M}^{4}]$$\hbar^{3}\text{c}^{-4}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$
mpg equivalent$1.288671(28) \times 10^{38}$ $[\text{M}^{-2}]$$\hbar^{-1}\text{c}^{3}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\text{m}_\text{P}^{2}2^{-5}5^{-7}11\cdot 19^{-1}43$
langley$2.490712(82) \times 10^{-73}$ $[\text{M}^{3}]$$\hbar^{2}\text{c}^{-4}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{15/2}3^{2}5^{5}43^{-1}$
jansky$5.94905(20) \times 10^{-104}$ $[\text{M}^{3}]$$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{-49/2}5^{-26}$
solar flux$5.94905(20) \times 10^{-100}$ $[\text{M}^{3}]$$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{-41/2}5^{-22}$
curie$7.071245(78) \times 10^{-33}$ $[\text{M}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{19/2}5^{9}37$
gray$1.1126500560536183 \times 10^{-17}$ $[\mathbb{1}]$$\text{c}^{-2}$
roentgen$2.993633(33) \times 10^{6}$ $[\text{M}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{m}_\text{P}\cdot \tau^{1/2}2^{3/2}5^{3/2}/1.293$

Charge Units

NameQuantityProduct
coulomb$1.890067014853257 \times 10^{18}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{1/2}\tau\cdot 2^{-3}5^{-7/2}$
Earth coulomb$1.8955448174(38) \times 10^{18}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{3}2^{-21}5^{-35/2}$
abcoulomb$1.8900670148532572 \times 10^{19}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{1/2}\tau\cdot 2^{-2}5^{-5/2}$
statcoulomb$6.304584936733987 \times 10^{8}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau\cdot 2^{-4}5^{-9/2}$

Current Units

NameQuantityProduct
ampere$3.612197(40) \times 10^{-25}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-7/2}$
abampere$3.612197(40) \times 10^{-24}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-3/2}5^{-5/2}$
statampere$1.204899(13) \times 10^{-34}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-7/2}5^{-9/2}$

Electromotive Units

NameQuantityProduct
volt$9.58828(11) \times 10^{-28}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{7/2}5^{7/2}$
abvolt$9.58828(11) \times 10^{-36}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$
statvolt$2.874495(32) \times 10^{-25}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$

Inductance Units

NameQuantityProduct
henry$1.388914(15) \times 10^{40}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{11/2}5^{7}$
abhenry$1.388914(15) \times 10^{31}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{-7/2}5^{-2}$
stathenry$1.248293(14) \times 10^{52}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau^{-1/2}2^{1/2}5^{2}$

Resistance Units

NameQuantityProduct
ohm$0.0026544187294380724$ $[\mathbb{1}]$$\text{c}^{-1}\tau^{-1}2^{6}5^{7}$
abohm$2.654418729438073 \times 10^{-12}$ $[\mathbb{1}]$$\text{c}^{-1}\tau^{-1}2^{-3}5^{-2}$
statohm$2.385672579618471 \times 10^{9}$ $[\mathbb{1}]$$\text{c}\cdot \tau^{-1}2\cdot 5^{2}$

Conductance Units

NameQuantityProduct
siemens$376.73031346177066$ $[\mathbb{1}]$$\text{c}\cdot \tau\cdot 2^{-6}5^{-7}$
abmho$3.767303134617706 \times 10^{11}$ $[\mathbb{1}]$$\text{c}\cdot \tau\cdot 2^{3}5^{2}$
statmho$4.1916900439033643 \times 10^{-10}$ $[\mathbb{1}]$$\text{c}^{-1}\tau\cdot 2^{-1}5^{-2}$

Capacitance Units

NameQuantityProduct
farad$1.971226(22) \times 10^{45}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau^{3/2}2^{-13/2}5^{-7}$
abfarad$1.971226(22) \times 10^{54}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau^{3/2}2^{5/2}5^{2}$
statfarad$2.193285(24) \times 10^{33}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau^{3/2}2^{-3/2}5^{-2}$

Magnetic Flux Units

NameQuantityProduct
weber$5.017029284119592 \times 10^{15}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{-1/2}2^{3}5^{7/2}$
maxwell$5.017029284119592 \times 10^{7}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{-1/2}2^{-5}5^{-9/2}$
statfarad$1.5040675409441933 \times 10^{18}$ $[\mathbb{1}]$$\hbar^{-1/2}\text{c}^{1/2}2^{-3}5^{-5/2}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$1.646935(36) \times 10^{-53}$ $[\text{M}^{2}]$$\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-1}2^{4}5^{7/2}$
gauss$1.646935(36) \times 10^{-57}$ $[\text{M}^{2}]$$\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-1}5^{-1/2}$
stattesla$4.93739(11) \times 10^{-47}$ $[\text{M}^{2}]$$\hbar^{3/2}\text{c}^{-3/2}\text{m}_\text{P}^{-2}\tau^{-1}2^{2}5^{3/2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$1.646935(36) \times 10^{-57}$ $[\text{M}^{2}]$$\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-1}5^{-1/2}$
gilbert$2.874495(32) \times 10^{-25}$ $[\text{M}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$

Equivalent dimensional quantities

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