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Stoney

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

Standard Constants

NameQuantityProduct
hyperfine transition$4.233619(47) \times 10^{-35}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\Delta\nu_\text{Cs}\cdot \alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$
light speed$1.0$ $[\mathbb{1}]$$1$
Planck$861.02257600(13)$ $[\text{M}\cdot \text{T}]$$\alpha^{-1}\tau$
Planck reduced$137.035999084(21)$ $[\text{M}\cdot \text{T}]$$\alpha^{-1}$
electron mass$4.899602(54) \times 10^{-22}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\text{m}_\text{P}^{-1}2$
molar mass$1.0$ $[\mathbb{1}]$$1$
Boltzmann$1.0$ $[\mathbb{1}]$$1$
vacuum permeability$12.566370614359172$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\tau\cdot 2$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$1.0$ $[\text{M}^{-1}\text{T}\cdot \text{J}]$$1$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$8.931429(98) \times 10^{-19}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2$
proton mass$8.996418(99) \times 10^{-19}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{m}_\text{P}^{-1}2$
Planck mass$11.70623761437(90)$ $[\text{M}]$$\alpha^{-1/2}$
Newton gravitation$1.0$ $[\text{M}^{-1}\text{T}]$$1$
Gauss gravitation$9.16937(10) \times 10^{-52}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{k}_\text{G}\cdot \text{m}_\text{P}^{-1}2^{-14}3^{-7}5^{-5}$
Einstein gravitation$25.132741228718345$ $[\text{M}^{-1}\text{T}]$$\tau\cdot 2^{2}$
Hartree$2.609105(29) \times 10^{-26}$ $[\text{M}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-1/2}\text{m}_\text{P}^{-1}2$
Rydberg$1.515120(17) \times 10^{-29}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$
Bohr radius$3.832733(42) \times 10^{25}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{1/2}\text{m}_\text{P}\cdot 2^{-1}$
electron radius$2.040982(23) \times 10^{21}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-1}$
Avogadro$1.119642(12) \times 10^{18}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
Molar gas$1.119642(12) \times 10^{18}$ $[\text{M}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
Stefan-Boltzmann$6.3921135864(29) \times 10^{-8}$ $[\text{M}^{-3}\text{T}^{-3}]$$\alpha^{3}\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density$2.5568454345(12) \times 10^{-7}$ $[\text{M}^{-3}\text{T}^{-3}]$$\alpha^{3}\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity$0.07957747154594767$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}]$$\tau^{-1}2^{-1}$
electrostatic$1.0$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$1$
magnetostatic$1.0$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$1$
Biot-Savart$1.0$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$1$
elementary charge$1.0$ $[\text{e}]$$1$
Faraday$1.119642(12) \times 10^{18}$ $[\text{M}^{-1}\text{Q}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
vacuum impedance$12.566370614359172$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\tau\cdot 2$
conductance quantum$0.00232281946577(36)$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}]$$\alpha\cdot \tau^{-1}2$
Klitzing$861.02257600(13)$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\alpha^{-1}\tau$
Josephson$0.00232281946577(36)$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}]$$\alpha\cdot \tau^{-1}2$
magnetic flux quantum$430.5112880000(66)$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-1}]$$\alpha^{-1}\tau\cdot 2^{-1}$
magneton$1.398440(15) \times 10^{23}$ $[\text{T}\cdot \text{Q}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3/2}\text{m}_\text{P}\cdot 2^{-2}$
Loschmidt$7.07147(23) \times 10^{-83}$ $[\text{T}^{-3}]$$\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\alpha^{3/2}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-3}\tau^{-3}$
Wien wavelength$173.414454494(27)$ $[\text{M}\cdot \text{T}]$
Wien frequency$0.00327684714753(50)$ $[\text{M}^{-1}\text{T}^{-1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$1.374(10) \times 10^{61}$ $[\text{M}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{9}3^{7/2}5^{6}$
solar mass$1.069492(12) \times 10^{39}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot \tau^{3}2^{-28}3^{-14}5^{-10}$
Jupiter mass$1.020931(11) \times 10^{36}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{J}\cdot \tau$
Earth mass$3.212209(35) \times 10^{33}$ $[\text{M}]$$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}\cdot \tau$
g-force$1.506510(17) \times 10^{-52}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
Earth radius$4.617596(51) \times 10^{42}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau$
great circle$2.901321(32) \times 10^{43}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}$
nautical mile$1.343204(15) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$
Hubble$1.0098(63) \times 10^{-62}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{H}_0\cdot \text{au}^{-1}\text{m}_\text{P}^{-1}2^{-10}3^{-4}5^{-6}$
cosmological$2.108(31) \times 10^{-124}$ $[\text{T}^{-2}]$$\hbar^{2}\text{c}^{-4}\alpha\cdot \Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-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$2.171341(24) \times 10^{44}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau$
minute$1.302805(14) \times 10^{46}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}3\cdot 5$
hour$7.816828(86) \times 10^{47}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{2}5^{2}$
day$1.876039(21) \times 10^{49}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$
year$6.852232(76) \times 10^{51}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$7.242815(80) \times 10^{25}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-10}5^{-10}$
inch$1.839675(20) \times 10^{34}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-2}3^{-1}$
foot$2.207610(24) \times 10^{35}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau$
survey foot$2.207614(24) \times 10^{35}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau$
yard$6.622830(73) \times 10^{35}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 3$
meter$7.242815(80) \times 10^{35}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau$
Earth meter$7.253303(80) \times 10^{35}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-9}5^{-7}$
mile$1.165618(13) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$
statute mile$1.165620(13) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$
meridian mile$1.341262(15) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{-3}5^{5}$
admiralty mile$1.342227(15) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{6}5\cdot 19$
nautical mile$1.343204(15) \times 10^{39}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$
lunar distance$2.784131(31) \times 10^{44}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{3}3^{3}5^{3}14237$
astronomical unit$1.083510(12) \times 10^{47}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{au}\cdot \text{m}_\text{P}\cdot \tau$
Jupiter distance$5.638379(62) \times 10^{47}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{6}3\cdot 5^{6}259493$
light-year$6.852232(76) \times 10^{51}$ $[\text{T}]$$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$
parsec$2.234899(25) \times 10^{52}$ $[\text{T}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{au}\cdot \text{m}_\text{P}\cdot 2^{7}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$5.24584(12) \times 10^{43}$ $[\text{T}^{2}]$$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{-28}5^{-28}$
hectare$5.24584(12) \times 10^{75}$ $[\text{T}^{2}]$$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{4}5^{4}$
acre$2.122915(47) \times 10^{75}$ $[\text{T}^{2}]$$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{ft}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$
survey acre$2.122923(47) \times 10^{75}$ $[\text{T}^{2}]$$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{ft}_\text{US}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$3.79946(13) \times 10^{104}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{m}_\text{P}^{3}\tau^{3}2^{-3}5^{-3}$
gallon$1.438253(48) \times 10^{105}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$
quart$3.59563(12) \times 10^{104}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-8}3^{-2}7\cdot 11$
pint$1.797816(59) \times 10^{104}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-9}3^{-2}7\cdot 11$
cup$8.98908(30) \times 10^{103}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$
fluid ounce$1.123635(37) \times 10^{103}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-13}3^{-2}7\cdot 11$
teaspoon$1.899731(63) \times 10^{102}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{m}_\text{P}^{3}\tau^{3}2^{-6}5^{-5}$
tablespoon$5.69919(19) \times 10^{102}$ $[\text{T}^{3}]$$\hbar^{-3}\text{c}^{3}\alpha^{-3/2}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$537863.2(59)$ $[\text{M}]$$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$
Earth gram$540203.2(60)$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$
kilogram$5.378632(59) \times 10^{8}$ $[\text{M}]$$\alpha^{-1/2}\text{m}_\text{P}^{-1}$
tonne$5.378632(59) \times 10^{11}$ $[\text{M}]$$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{3}5^{3}$
ton$4.879413(54) \times 10^{11}$ $[\text{M}]$$\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$
pound (mass)$2.439706(27) \times 10^{8}$ $[\text{M}]$$\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}$
ounce$1.524817(17) \times 10^{7}$ $[\text{M}]$$\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-4}$
grain$34852.95(38)$ $[\text{M}]$$\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-3}5^{-3}7^{-1}$
slug$7.849523(87) \times 10^{9}$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$
slinch$9.41943(10) \times 10^{10}$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$
hyl$5.274636(58) \times 10^{9}$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}$

Force Units

NameQuantityProduct
dyne$8.26272(18) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}\tau^{-1}2^{-5}5^{-5}$
newton$8.26272(18) \times 10^{-45}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}\tau^{-1}$
poundal$1.142362(25) \times 10^{-45}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}$
pound (force)$3.675441(81) \times 10^{-44}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}$
kilopond$8.10296(18) \times 10^{-44}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-2}\tau^{-1}$

Presure Units

NameQuantityProduct
pounds per square inch$1.085994(48) \times 10^{-112}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}3^{2}$
pascal$1.575101(69) \times 10^{-116}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
barye$1.575101(69) \times 10^{-117}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{-1}5^{-1}$
bar$1.575101(69) \times 10^{-111}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{5}5^{5}$
technical atmosphere$1.544646(68) \times 10^{-111}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{g}_0\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
atmosphere$1.595971(70) \times 10^{-111}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
inch mercury$5.33390(24) \times 10^{-113}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{in}_\text{Hg}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}$
torr$2.099961(93) \times 10^{-114}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-5}\alpha\cdot \text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{-3}5^{-1}19^{-1}$

Energy Units

NameQuantityProduct
erg$5.984535(66) \times 10^{-16}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$
joule$5.984535(66) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}$
foot-pound$8.113940(89) \times 10^{-9}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-1}$
calorie$2.505568(28) \times 10^{-8}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}$
kilocalorie$2.505568(28) \times 10^{-5}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}3^{2}5^{4}43^{-1}$
mean calorie$2.505630(28) \times 10^{-8}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie$2.516468(28) \times 10^{-8}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}3^{2}5^{-20}43^{-1}$
British thermal unit$6.313924(70) \times 10^{-6}$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}5^{5}43^{-1}$
gas gallon$0.7197874(79)$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{9}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT$25.05568(28)$ $[\text{M}]$$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{11}3^{2}5^{10}43^{-1}$
electronvolt$9.58828(11) \times 10^{-28}$ $[\text{M}]$$\text{c}^{-2}\text{e}\cdot \alpha^{-1/2}\text{m}_\text{P}^{-1}$

Power Units

NameQuantityProduct
watt$2.756147(61) \times 10^{-53}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{m}_\text{P}^{-2}\tau^{-1}$
horsepower (Watt)$2.028604(45) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}2^{4}3^{3}5^{-1}$
horsepower (Metric)$2.027143(45) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{m}_\text{P}^{-2}\tau^{-1}3\cdot 5^{2}$
horsepower$2.055258(45) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}2\cdot 5^{2}11$
electrical horsepower$2.056086(45) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{m}_\text{P}^{-2}\tau^{-1}2373$
tons refrigeration$9.69282(21) \times 10^{-50}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}\tau^{-1}2^{6}3^{-1}5^{6}43^{-1}$
boiler horsepower$2.703892(60) \times 10^{-49}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}\tau^{-1}2\cdot 3^{-2}5^{5}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$8.262543(91) \times 10^{-32}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}$
Rankine$4.590301(51) \times 10^{-32}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}$
Celsius$2.256914(25) \times 10^{-29}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{T}_0\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$
Fahrenheit$2.110024(23) \times 10^{-29}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}459.67$
sea level$2.380852(26) \times 10^{-29}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}288.15$
boiling$3.083035(34) \times 10^{-29}$ $[\text{M}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}373.1339$
mole$537863.2(59)$ $[\text{M}]$$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$
Earth-mole$540203.2(60)$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$
pound-mole$2.439706(27) \times 10^{8}$ $[\text{M}]$$\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}$
slug-mole$7.849523(87) \times 10^{9}$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$
slinch-mole$9.41943(10) \times 10^{10}$ $[\text{M}]$$\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$
katal$2.477101(55) \times 10^{-39}$ $[\text{M}\cdot \text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-2}\tau^{-1}2^{-3}5^{-3}$
amagat$6.31584(28) \times 10^{-101}$ $[\text{M}\cdot \text{T}^{-3}]$$\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot \alpha^{-1}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2$

Photometric Units

NameQuantityProduct
lumen$4.035238(89) \times 10^{-56}$ $[\text{J}]$$\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$
candela$4.035238(89) \times 10^{-56}$ $[\text{J}]$$\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$
lux$7.69227(34) \times 10^{-128}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
phot$7.69227(34) \times 10^{-124}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
foot-candle$8.27989(37) \times 10^{-127}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-3}$
nit$7.69227(34) \times 10^{-128}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
abostilb$2.44852(11) \times 10^{-128}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-4}2$
stilb$7.69227(34) \times 10^{-124}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
lambert$2.44852(11) \times 10^{-124}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-4}2^{5}5^{4}$
foot-lambert$2.63557(12) \times 10^{-127}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-4}2$
bril$2.44852(11) \times 10^{-135}$ $[\text{T}^{-2}\text{J}]$$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-4}2^{-6}5^{-7}$
talbot$8.761878(97) \times 10^{-12}$ $[\text{T}\cdot \text{J}]$$\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-1/2}\text{m}_\text{P}^{-1}$
lumerg$8.761878(97) \times 10^{-19}$ $[\text{T}\cdot \text{J}]$$\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$4.605448(51) \times 10^{-45}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$
actions per minute$7.675747(85) \times 10^{-47}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}3^{-1}5^{-1}$
revolutions per minute$4.822814(53) \times 10^{-46}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}2^{-2}3^{-1}5^{-1}$
kayser$1.380679(15) \times 10^{-34}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-1}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{2}5^{2}$
diopter$1.380679(15) \times 10^{-36}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-1}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$
rayleigh$4.139171(46) \times 10^{-18}$ $[\text{T}^{-1}]$$\hbar\cdot \alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{10}5^{10}$
flick$7.25404(40) \times 10^{-151}$ $[\text{M}\cdot \text{T}^{-4}]$$\hbar^{4}\text{c}^{-7}\alpha^{3/2}\text{m}_\text{P}^{-5}\tau^{-4}2^{10}5^{10}$
g-force$1.506510(17) \times 10^{-52}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
galileo$1.536212(17) \times 10^{-55}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-3}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}5^{-2}$
eotvos$2.121015(47) \times 10^{-98}$ $[\text{T}^{-2}]$$\hbar^{2}\text{c}^{-4}\alpha\cdot \text{m}_\text{P}^{-2}\tau^{-2}2^{-9}5^{-9}$
darcy$5.17724(11) \times 10^{59}$ $[\text{T}^{2}]$$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{-7}5^{-7}$
poise$3.42008(11) \times 10^{-73}$ $[\text{M}\cdot \text{T}^{-2}]$$\hbar^{2}\text{c}^{-3}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-1}5^{-1}$
reyn$2.358063(78) \times 10^{-68}$ $[\text{M}\cdot \text{T}^{-2}]$$\hbar^{2}\text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-3}\tau^{-2}2^{4}3^{2}$
stokes$2.415943(27) \times 10^{23}$ $[\text{T}]$$\hbar^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-4}5^{-4}$
rayl$4.72203(21) \times 10^{-108}$ $[\text{M}\cdot \text{T}^{-3}]$$\hbar^{3}\text{c}^{-4}\alpha\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
mpg equivalent$1.619392(36) \times 10^{39}$ $[\text{M}^{-1}\text{T}]$$\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}\tau\cdot 2^{-4}5^{-7}11\cdot 19^{-1}43$
langley$4.77630(16) \times 10^{-76}$ $[\text{M}\cdot \text{T}^{-2}]$$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-2}2^{6}3^{2}5^{5}43^{-1}$
jansky$1.140816(38) \times 10^{-106}$ $[\text{M}\cdot \text{T}^{-2}]$$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-26}5^{-26}$
solar flux$1.140816(38) \times 10^{-102}$ $[\text{M}\cdot \text{T}^{-2}]$$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-22}5^{-22}$
curie$1.704016(19) \times 10^{-34}$ $[\text{T}^{-1}]$$\hbar\cdot \text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{9}5^{9}37$
gray$1.1126500560536183 \times 10^{-17}$ $[\mathbb{1}]$$\text{c}^{-2}$
roentgen$2.993633(33) \times 10^{6}$ $[\text{M}^{-1}\text{Q}]$$\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$6.24150907276(48) \times 10^{18}$ $[\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$2.874495(32) \times 10^{-26}$ $[\text{T}^{-1}\text{Q}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-7/2}5^{-7/2}$
abampere$2.874495(32) \times 10^{-25}$ $[\text{T}^{-1}\text{Q}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$
statampere$9.58828(11) \times 10^{-36}$ $[\text{T}^{-1}\text{Q}]$$\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$

Electromotive Units

NameQuantityProduct
volt$9.58828(11) \times 10^{-28}$ $[\text{M}\cdot \text{Q}^{-1}]$$\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{7/2}5^{7/2}$
abvolt$9.58828(11) \times 10^{-36}$ $[\text{M}\cdot \text{Q}^{-1}]$$\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}\cdot \text{Q}^{-1}]$$\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$7.242815(80) \times 10^{42}$ $[\text{M}\cdot \text{T}^{2}\text{Q}^{-2}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{7}5^{7}$
abhenry$7.242815(80) \times 10^{33}$ $[\text{M}\cdot \text{T}^{2}\text{Q}^{-2}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$
stathenry$6.509517(72) \times 10^{54}$ $[\text{M}\cdot \text{T}^{2}\text{Q}^{-2}]$$\hbar^{-1}\text{c}^{3}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$

Resistance Units

NameQuantityProduct
ohm$0.0333564095198152$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\text{c}^{-1}2^{7}5^{7}$
abohm$3.335640951981521 \times 10^{-11}$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\text{c}^{-1}2^{-2}5^{-2}$
statohm$2.99792458 \times 10^{10}$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-2}]$$\text{c}\cdot 2^{2}5^{2}$

Conductance Units

NameQuantityProduct
siemens$29.9792458$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}]$$\text{c}\cdot 2^{-7}5^{-7}$
abmho$2.99792458 \times 10^{10}$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}]$$\text{c}\cdot 2^{2}5^{2}$
statmho$3.335640951981521 \times 10^{-11}$ $[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}]$$\text{c}^{-1}2^{-2}5^{-2}$

Capacitance Units

NameQuantityProduct
farad$6.509517(72) \times 10^{45}$ $[\text{M}^{-1}\text{Q}^{2}]$$\hbar^{-1}\text{c}^{3}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-7}5^{-7}$
abfarad$6.509517(72) \times 10^{54}$ $[\text{M}^{-1}\text{Q}^{2}]$$\hbar^{-1}\text{c}^{3}\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$
statfarad$7.242815(80) \times 10^{33}$ $[\text{M}^{-1}\text{Q}^{2}]$$\hbar^{-1}\text{c}\cdot \alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$

Magnetic Flux Units

NameQuantityProduct
weber$2.08194332653(16) \times 10^{17}$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}\tau^{1/2}2^{7/2}5^{7/2}$
maxwell$2.08194332653(16) \times 10^{9}$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$
statfarad$6.24150907276(48) \times 10^{19}$ $[\text{M}\cdot \text{T}\cdot \text{Q}^{-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$3.968754(88) \times 10^{-55}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$$\hbar^{3/2}\text{c}^{-5/2}\alpha^{1/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{7/2}5^{7/2}$
gauss$3.968754(88) \times 10^{-59}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$$\hbar^{3/2}\text{c}^{-5/2}\alpha^{1/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{-1/2}5^{-1/2}$
stattesla$1.189802(26) \times 10^{-48}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$$\hbar^{3/2}\text{c}^{-3/2}\alpha^{1/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{3/2}5^{3/2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$3.158234(70) \times 10^{-60}$ $[\text{T}^{-2}\text{Q}]$$\hbar^{3/2}\text{c}^{-5/2}\alpha^{1/2}\text{m}_\text{P}^{-2}\tau^{-5/2}2^{-3/2}5^{-1/2}$
gilbert$2.287450(25) \times 10^{-26}$ $[\text{T}^{-1}\text{Q}]$$\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-3/2}2^{-7/2}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 $[F^{-1}MLT^{-2}]$, specific energy $[FM^{-1}L]$, susceptibility $[R^{-1}]$, demagnetizing factor $[R]$, entropy $[FLΘ^{-1}]$, molar mass $[MN^{-1}]$, molality $[M^{-1}N]$, molar energy $[FLN^{-1}]$
$\text{T}$time $[T]$, angular time $[TA^{-1}]$, length $[L]$, angular length $[LA^{-1}]$, diffusivity $[L^{2}T^{-1}]$, thermal resistance $[F^{-1}L^{-1}TΘ]$
$\text{T}^{2}$area $[L^{2}]$, angular area $[L^{2}A^{-2}]$, volume flow $[L^{3}T^{-1}]$, etendue $[L^{2}A^{2}]$, thermal resistivity $[F^{-1}TΘ]$
$\text{T}^{3}$volume $[L^{3}]$, magnetic polarizability $[L^{3}A^{-1}R^{-1}]$
$\text{T}^{-1}$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 $[L^{-2}TA^{-2}]$, specific force $[FM^{-1}]$, thermal conductance $[FLT^{-1}Θ^{-1}]$
$\text{T}^{-2}$fuel efficiency $[L^{-2}]$, frequency drift $[T^{-2}]$, jerk $[LT^{-3}]$, thermal conductivity $[FT^{-1}Θ^{-1}]$
$\text{T}^{-3}$number density $[L^{-3}]$, snap $[LT^{-4}]$, volume heat capacity $[FL^{-2}Θ^{-1}]$
$\text{T}^{-4}$crackle $[LT^{-5}]$
$\text{M}$inertia $[FL^{-1}T^{2}]$, mass $[M]$, impulse $[FT]$, momentum $[MLT^{-1}]$, energy $[FL]$, temperature $[Θ]$, molar amount $[N]$
$\text{M}\cdot \text{T}^{-1}$mass flow $[MT^{-1}]$, linear density $[ML^{-1}]$, force $[F]$, power $[FLT^{-1}]$, radiant intensity $[FLT^{-1}A^{-2}]$, spectral exposure $[FL^{-1}T]$, lapse rate $[L^{-1}Θ]$, catalysis $[T^{-1}N]$, diffusion flux $[L^{-2}TN]$
$\text{M}\cdot \text{T}^{-2}$area density $[ML^{-2}]$, viscosity $[FL^{-2}T]$, yank $[MLT^{-3}]$, fluence $[FL^{-1}]$, spectral flux $[FT^{-1}]$
$\text{M}\cdot \text{T}^{-3}$density $[ML^{-3}]$, pressure $[FL^{-2}]$, irradiance $[FL^{-1}T^{-1}]$, radiance $[FL^{-1}T^{-1}A^{-2}]$, specific impedance $[FL^{-3}T]$, molarity $[L^{-3}N]$
$\text{M}\cdot \text{T}^{-4}$specific weight $[FL^{-3}]$, power density $[FL^{-2}T^{-1}]$, inertance $[ML^{-4}]$
$\text{M}^{-1}\text{T}^{3}$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 $[L^{3}N^{-1}A^{-1}R^{-1}]$
$\text{M}\cdot \text{T}^{2}$rotational inertia $[ML^{2}]$
$\text{M}\cdot \text{T}$angular momentum $[FLTA^{-1}]$, action $[FLT]$
$\text{M}^{2}\text{T}^{-5}$sound exposure $[F^{2}L^{-4}T]$
$\text{M}\cdot \text{T}^{-5}$impedance $[FL^{-5}T]$
$\text{M}^{-1}\text{T}^{5}$admittance $[F^{-1}L^{5}T^{-1}]$
$\text{M}^{-1}\text{T}^{2}$compliance $[M^{-1}T^{2}]$, specificity $[L^{3}T^{-1}N^{-1}]$
$\text{e}$charge $[Q]$, pole strength $[LT^{-1}QA^{-1}C^{-1}]$
$\text{T}^{-3}\text{Q}$charge density $[L^{-3}Q]$, current density $[L^{-2}T^{-1}Q]$
$\text{T}^{-1}\text{Q}$linear charge density $[L^{-1}Q]$, current $[T^{-1}Q]$, magnetic potential $[T^{-1}QRC^{-1}]$
$\text{M}^{-1}\text{Q}$exposure $[M^{-1}Q]$
$\text{M}\cdot \text{T}\cdot \text{Q}^{-1}$mobility $[FL^{3}T^{-1}Q^{-1}]$, electric flux $[FL^{2}Q^{-1}]$, magnetic flux $[FLTQ^{-1}C]$
$\text{M}\cdot \text{T}\cdot \text{Q}^{-2}$resistance $[FLTQ^{-2}]$, permeability $[FT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}$conductance $[F^{-1}L^{-1}T^{-1}Q^{2}]$, permittivity $[F^{-1}L^{-2}Q^{2}R]$
$\text{M}\cdot \text{T}^{2}\text{Q}^{-2}$resistivity $[FL^{2}TQ^{-2}]$, inductance $[FLT^{2}Q^{-2}]$, permeance $[FLT^{2}Q^{-2}R^{-1}C^{2}]$
$\text{M}^{-1}\text{T}^{-2}\text{Q}^{2}$conductivity $[F^{-1}L^{-2}T^{-1}Q^{2}]$, reluctance $[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}]$
$\text{M}^{-1}\text{Q}^{2}$capacitance $[F^{-1}L^{-1}Q^{2}]$
$\text{M}\cdot \text{Q}^{-1}$vector potential $[FTQ^{-1}C]$, electric potential $[FLQ^{-1}]$
$\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}$electric field $[FQ^{-1}]$, magnetic flux density $[FL^{-1}TQ^{-1}C]$
$\text{T}^{-2}\text{Q}$magnetic field $[L^{-1}T^{-1}QRC^{-1}]$, electric displacement $[L^{-2}QR]$, specific magnetization $[F^{-1}ML^{-2}T^{-1}QC^{-1}]$
$\text{T}\cdot \text{Q}$electric dipole moment $[LQ]$, magnetic dipole moment $[L^{2}T^{-1}QA^{-1}C^{-1}]$
$\text{M}^{-1}\text{T}^{2}\text{Q}^{2}$electric polarizability $[F^{-1}LQ^{2}]$
$\text{M}\cdot \text{T}^{2}\text{Q}^{-1}$magnetic moment $[FL^{2}TQ^{-1}C]$
$\text{M}^{-1}$specific entropy $[FM^{-1}LΘ^{-1}]$, thermal expansion $[Θ^{-1}]$, molar entropy $[FLΘ^{-1}N^{-1}]$
$\text{M}^{-2}\text{Q}^{2}$molar conductivity $[F^{-1}T^{-1}Q^{2}N^{-1}]$
$\text{J}$luminous flux $[J]$, luminous intensity $[JA^{-2}]$
$\text{T}^{-2}\text{J}$luminance $[L^{-2}JA^{-2}]$, illuminance $[L^{-2}J]$
$\text{T}\cdot \text{J}$luminous energy $[TJ]$
$\text{T}^{-1}\text{J}$luminous exposure $[L^{-2}TJ]$
$\text{M}^{-1}\text{T}\cdot \text{J}$luminous efficacy $[F^{-1}L^{-1}TJ]$