MTS

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

Standard Constants

NameQuantityProduct
hyperfine transition$9.19263177 \times 10^{9}$ $[\text{s}^{-1}]$$\Delta\nu_\text{Cs}$
light speed$2.99792458 \times 10^{8}$ $[\text{m}\cdot \text{s}^{-1}]$$\text{c}$
Planck$6.62607015 \times 10^{-37}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}]$$\hbar\cdot 2^{-3}5^{-3}$
Planck reduced$1.0545718176461566 \times 10^{-37}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}]$$\hbar\cdot \tau^{-1}2^{-3}5^{-3}$
electron mass$9.1093837016(28) \times 10^{-34}$ $[\text{t}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}2^{-2}5^{-3}$
molar mass$1.0 \times 10^{-6}$ $[\text{t}\cdot \text{mol}^{-1}]$$2^{-6}5^{-6}$
Boltzmann$1.38064899953(43) \times 10^{-26}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}\text{K}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2$
vacuum permeability$1.2566370614359174 \times 10^{-9}$ $[\text{t}\cdot \text{m}\cdot \text{C}^{-2}]$$\tau\cdot 2^{-9}5^{-10}$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$683019.6900900899$ $[\text{t}^{-1}\text{m}^{-2}\text{s}^{3}\text{lm}]$$\text{K}_\text{cd}\cdot 2^{3}5^{3}$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$1.66053906660(51) \times 10^{-30}$ $[\text{t}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2^{-2}5^{-3}$
proton mass$1.67262192369(52) \times 10^{-30}$ $[\text{t}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{-2}5^{-3}$
Planck mass$2.176434(24) \times 10^{-11}$ $[\text{t}]$$\text{m}_\text{P}\cdot 2^{-3}5^{-3}$
Newton gravitation$6.67430(15) \times 10^{-8}$ $[\text{t}^{-1}\text{m}^{3}\text{s}^{-2}]$$\hbar\cdot \text{c}\cdot \text{m}_\text{P}^{-2}\tau^{-1}2^{3}5^{3}$
Gauss gravitation$1.990983676471466 \times 10^{-7}$ $[\text{s}^{-1}]$$\text{k}_\text{G}\cdot \tau\cdot 2^{-14}3^{-7}5^{-5}$
Einstein gravitation$2.076648(46) \times 10^{-40}$ $[\text{sn}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}2^{5}5^{3}$
Hartree$4.3597447222072(83) \times 10^{-21}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\hbar\cdot \text{c}\cdot \text{R}_{\infty}\cdot 2^{-2}5^{-3}$
Rydberg$1.0973731568160(21) \times 10^{7}$ $[\text{m}^{-1}]$$\text{R}_{\infty}$
Bohr radius$5.29177210902(81) \times 10^{-11}$ $[\text{m}]$$\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$
electron radius$2.8179403262(13) \times 10^{-15}$ $[\text{m}]$$\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$
Avogadro$6.0221407621(19) \times 10^{23}$ $[\text{mol}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot 2^{-4}5^{-3}$
Molar gas$0.00831446261815324$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}\text{K}^{-1}\text{mol}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot 2^{-3}5^{-3}$
Stefan-Boltzmann$5.6703744114(70) \times 10^{-11}$ $[\text{t}\cdot \text{s}^{-3}\text{K}^{-4}]$$\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{9}3^{-1}5^{8}$
radiation density$7.5657332399(93) \times 10^{-19}$ $[\text{t}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-4}]$$\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-7}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{11}3^{-1}5^{8}$
vacuum permittivity$8.85418781762039 \times 10^{-9}$ $[\text{t}^{-1}\text{m}^{-3}\text{s}^{2}\text{C}^{2}]$$\text{c}^{-2}\tau^{-1}2^{9}5^{10}$
electrostatic$8.987551787368177 \times 10^{6}$ $[\text{t}\cdot \text{m}^{3}\text{s}^{-2}\text{C}^{-2}]$$\text{c}^{2}2^{-10}5^{-10}$
magnetostatic$1.0 \times 10^{-10}$ $[\text{t}\cdot \text{m}\cdot \text{C}^{-2}]$$2^{-10}5^{-10}$
Biot-Savart$1.0 \times 10^{-10}$ $[\text{t}\cdot \text{m}\cdot \text{C}^{-2}]$$2^{-10}5^{-10}$
elementary charge$1.60217663444(12) \times 10^{-19}$ $[\text{C}]$$\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}]$$\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \tau^{-1/2}2^{-1/2}5^{1/2}$
vacuum impedance$0.37673031346177066$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-2}]$$\text{c}\cdot \tau\cdot 2^{-9}5^{-10}$
conductance quantum$0.077480917341(12)$ $[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}^{2}]$$\text{c}^{-1}\alpha\cdot \tau^{-1}2^{11}5^{10}$
Klitzing$25.8128074452(40)$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-2}]$$\text{c}\cdot \alpha^{-1}\tau\cdot 2^{-10}5^{-10}$
Josephson$4.83597848549(37) \times 10^{17}$ $[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{15/2}5^{13/2}$
magnetic flux quantum$2.06783384790(16) \times 10^{-18}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-1}]$$\hbar^{1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-15/2}5^{-13/2}$
magneton$9.2740100808(36) \times 10^{-24}$ $[\text{m}^{2}\text{s}^{-1}\text{C}]$$\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{3/2}5^{7/2}$
Loschmidt$2.686780111798444 \times 10^{25}$ $[\text{m}^{-3}]$$\text{k}_\text{B}^{-1}\text{T}_0^{-1}\text{atm}$
mechanical heat$0.004186737323211057$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{-1}3^{2}5^{-2}43^{-1}$
Wien wavelength$0.00289777195618(89)$ $[\text{m}\cdot \text{K}]$
Wien frequency$5.8789257556(18) \times 10^{10}$ $[\text{s}^{-1}\text{K}^{-1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$2.555(19) \times 10^{49}$ $[\text{t}]$$\hbar^{-1}\text{c}^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{6}3^{7/2}5^{3}$
solar mass$1.988409(44) \times 10^{27}$ $[\text{t}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-31}3^{-14}5^{-13}$
Jupiter mass$1.898124(42) \times 10^{24}$ $[\text{t}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-3}5^{-3}$
Earth mass$5.97217(13) \times 10^{21}$ $[\text{t}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-3}5^{-3}$
g-force$9.80665$ $[\text{m}\cdot \text{s}^{-2}]$$\text{g}_0$
Earth radius$6.3754163237(64) \times 10^{6}$ $[\text{m}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}$
great circle$4.0057922172(40) \times 10^{7}$ $[\text{m}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau$
nautical mile$1854.5334339(19)$ $[\text{m}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$
Hubble$2.193(14) \times 10^{-18}$ $[\text{s}^{-1}]$$\text{H}_0\cdot \text{au}^{-1}\tau\cdot 2^{-10}3^{-4}5^{-6}$
cosmological$1.106(16) \times 10^{-52}$ $[\text{m}^{-2}]$$\text{c}^{-2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-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$1.0$ $[\text{s}]$$1$
minute$60.0$ $[\text{s}]$$2^{2}3\cdot 5$
hour$3600.0$ $[\text{s}]$$2^{4}3^{2}5^{2}$
day$86400.0$ $[\text{s}]$$2^{7}3^{3}5^{2}$
year$3.15576 \times 10^{7}$ $[\text{s}]$$\text{a}_\text{j}\cdot 2^{7}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$1.0 \times 10^{-10}$ $[\text{m}]$$2^{-10}5^{-10}$
inch$0.0254$ $[\text{m}]$$\text{ft}\cdot 2^{-2}3^{-1}$
foot$0.3048$ $[\text{m}]$$\text{ft}$
survey foot$0.3048006096012192$ $[\text{m}]$$\text{ft}_\text{US}$
yard$0.9144000000000001$ $[\text{m}]$$\text{ft}\cdot 3$
meter$1.0$ $[\text{m}]$$1$
Earth meter$1.0014480543(10)$ $[\text{m}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}5^{-7}$
mile$1609.344$ $[\text{m}]$$\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$
statute mile$1609.3472186944373$ $[\text{m}]$$\text{ft}_\text{US}\cdot 2^{5}3\cdot 5\cdot 11$
meridian mile$1851.8518518518522$ $[\text{m}]$$2^{4}3^{-3}5^{5}$
admiralty mile$1853.1840000000002$ $[\text{m}]$$\text{ft}\cdot 2^{6}5\cdot 19$
nautical mile$1854.5334339(19)$ $[\text{m}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$
lunar distance$3.84399 \times 10^{8}$ $[\text{m}]$$2^{3}3^{3}5^{3}14237$
astronomical unit$1.495978707000(30) \times 10^{11}$ $[\text{m}]$$\text{au}$
Jupiter distance$7.78479 \times 10^{11}$ $[\text{m}]$$2^{6}3\cdot 5^{6}259493$
light-year$9.4607304725808 \times 10^{15}$ $[\text{m}]$$\text{c}\cdot \text{a}_\text{j}\cdot 2^{7}3^{3}5^{2}$
parsec$3.085677581491(62) \times 10^{16}$ $[\text{m}]$$\text{au}\cdot \tau^{-1}2^{7}3^{4}5^{3}$

Speed Units

NameQuantityProduct
Bubnoff$3.168808781402896 \times 10^{-8}$ $[\text{m}\cdot \text{s}^{-1}]$$\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$
feet per minute$0.00508$ $[\text{m}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$
inches per second$0.0254$ $[\text{m}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{-2}3^{-1}$
kilometers per hour$0.2777777777777778$ $[\text{m}\cdot \text{s}^{-1}]$$2^{-1}3^{-2}5$
feet per second$0.3048$ $[\text{m}\cdot \text{s}^{-1}]$$\text{ft}$
miles per hour$0.44704$ $[\text{m}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$
knot$0.51514817608(52)$ $[\text{m}\cdot \text{s}^{-1}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}3^{-5}5^{-4}$
meters per second$1.0$ $[\text{m}\cdot \text{s}^{-1}]$$1$
miles per second$1609.344$ $[\text{m}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$

Area Units

NameQuantityProduct
barn$1.0 \times 10^{-28}$ $[\text{m}^{2}]$$2^{-28}5^{-28}$
hectare$10000.0$ $[\text{m}^{2}]$$2^{4}5^{4}$
acre$4046.8564224$ $[\text{m}^{2}]$$\text{ft}^{2}2^{3}3^{2}5\cdot 11^{2}$
survey acre$4046.8726098742513$ $[\text{m}^{2}]$$\text{ft}_\text{US}^{2}2^{3}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$0.001$ $[\text{m}^{3}]$$2^{-3}5^{-3}$
gallon$0.0037854117839999997$ $[\text{m}^{3}]$$\text{ft}^{3}2^{-6}3^{-2}7\cdot 11$
quart$0.0009463529459999999$ $[\text{m}^{3}]$$\text{ft}^{3}2^{-8}3^{-2}7\cdot 11$
pint$0.00047317647299999996$ $[\text{m}^{3}]$$\text{ft}^{3}2^{-9}3^{-2}7\cdot 11$
cup$0.00023658823649999998$ $[\text{m}^{3}]$$\text{ft}^{3}2^{-10}3^{-2}7\cdot 11$
fluid ounce$2.9573529562499998 \times 10^{-5}$ $[\text{m}^{3}]$$\text{ft}^{3}2^{-13}3^{-2}7\cdot 11$
teaspoon$5.0 \times 10^{-6}$ $[\text{m}^{3}]$$2^{-6}5^{-5}$
tablespoon$1.5000000000000002 \times 10^{-5}$ $[\text{m}^{3}]$$2^{-6}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$1.0 \times 10^{-6}$ $[\text{t}]$$2^{-6}5^{-6}$
Earth gram$1.0043504565(30) \times 10^{-6}$ $[\text{t}]$$\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-33}5^{-27}$
kilogram$0.001$ $[\text{t}]$$2^{-3}5^{-3}$
tonne$1.0$ $[\text{t}]$$1$
ton$0.90718474$ $[\text{t}]$$\text{lb}\cdot 2$
pound (mass)$0.00045359237000000004$ $[\text{t}]$$\text{lb}\cdot 2^{-3}5^{-3}$
ounce$2.8349523125000003 \times 10^{-5}$ $[\text{t}]$$\text{lb}\cdot 2^{-7}5^{-3}$
grain$6.479891 \times 10^{-8}$ $[\text{t}]$$\text{lb}\cdot 2^{-6}5^{-6}7^{-1}$
slug$0.014593902937206363$ $[\text{t}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-3}5^{-3}$
slinch$0.17512683524647638$ $[\text{t}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}3\cdot 5^{-3}$
hyl$0.00980665$ $[\text{t}]$$\text{g}_0\cdot 2^{-3}5^{-3}$

Force Units

NameQuantityProduct
dyne$1.0 \times 10^{-8}$ $[\text{sn}]$$2^{-8}5^{-8}$
newton$0.001$ $[\text{sn}]$$2^{-3}5^{-3}$
poundal$0.00013825495437600003$ $[\text{sn}]$$\text{ft}\cdot \text{lb}\cdot 2^{-3}5^{-3}$
pound (force)$0.0044482216152605$ $[\text{sn}]$$\text{g}_0\cdot \text{lb}\cdot 2^{-3}5^{-3}$
kilopond$0.00980665$ $[\text{sn}]$$\text{g}_0\cdot 2^{-3}5^{-3}$

Presure Units

NameQuantityProduct
pounds per square inch$6.894757293168361$ $[\text{pz}]$$\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot 2\cdot 3^{2}5^{-3}$
pascal$0.001$ $[\text{pz}]$$2^{-3}5^{-3}$
barye$0.0001$ $[\text{pz}]$$2^{-4}5^{-4}$
bar$100.0$ $[\text{pz}]$$2^{2}5^{2}$
technical atmosphere$98.06649999999999$ $[\text{pz}]$$\text{g}_0\cdot 2\cdot 5$
atmosphere$101.325$ $[\text{pz}]$$\text{atm}\cdot 2^{-3}5^{-3}$
inch mercury$3.3863890000000008$ $[\text{pz}]$$\text{in}_\text{Hg}^{-1}2^{-3}5^{-3}$
torr$0.13332236842105263$ $[\text{pz}]$$\text{atm}\cdot 2^{-6}5^{-4}19^{-1}$

Energy Units

NameQuantityProduct
erg$1.0 \times 10^{-10}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$2^{-10}5^{-10}$
joule$0.001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$2^{-3}5^{-3}$
foot-pound$0.0013558179483314004$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{-3}5^{-3}$
calorie$0.004186737323211057$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{-1}3^{2}5^{-2}43^{-1}$
kilocalorie$4.186737323211057$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$
mean calorie$0.004186841954605035$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$2^{-1}3^{2}5^{-2}43^{-1}1.0001900224889804$
Earth calorie$0.004204951542(13)$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-28}3^{2}5^{-23}43^{-1}$
British thermal unit$1.0550400583348662$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}5^{2}43^{-1}$
gas gallon$120274.56665017476$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{6}3\cdot 5^{5}19\cdot 43^{-1}$
ton TNT$4.186737323211056 \times 10^{6}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3^{2}5^{7}43^{-1}$
electronvolt$1.6021766339999998 \times 10^{-22}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}]$$\text{e}\cdot 2^{-3}5^{-3}$

Power Units

NameQuantityProduct
watt$0.001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$2^{-3}5^{-3}$
horsepower (Watt)$0.736029107611162$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau\cdot 2\cdot 3^{3}5^{-4}$
horsepower (Metric)$0.7354987500000001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$\text{g}_0\cdot 2^{-3}3\cdot 5^{-1}$
horsepower$0.7456998715822702$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{-2}5^{-1}11$
electrical horsepower$0.746$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$2^{-2}5^{-3}373$
tons refrigeration$3.516800194449554$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{3}3^{-1}5^{3}43^{-1}$
boiler horsepower$9.8104072090999$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-3}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{-2}3^{-2}5^{2}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}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{5}3\cdot 5^{3}$
katal$1.0$ $[\text{s}^{-1}\text{mol}]$$1$
amagat$44.615033390(14)$ $[\text{m}^{-3}\text{mol}]$$\text{k}_\text{B}^{-1}\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\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$1.0$ $[\text{m}^{-2}\text{lm}]$$1$
phot$10000.0$ $[\text{m}^{-2}\text{lm}]$$2^{4}5^{4}$
foot-candle$10.76391041670972$ $[\text{m}^{-2}\text{lm}]$$\text{ft}^{-2}$
nit$1.0$ $[\text{m}^{-2}\text{lm}]$$1$
abostilb$0.3183098861837907$ $[\text{m}^{-2}\text{lm}]$$\tau^{-1}2$
stilb$10000.0$ $[\text{m}^{-2}\text{lm}]$$2^{4}5^{4}$
lambert$3183.098861837907$ $[\text{m}^{-2}\text{lm}]$$\tau^{-1}2^{5}5^{4}$
foot-lambert$3.42625909963539$ $[\text{m}^{-2}\text{lm}]$$\text{ft}^{-2}\tau^{-1}2$
bril$3.1830988618379075 \times 10^{-8}$ $[\text{m}^{-2}\text{lm}]$$\tau^{-1}2^{-6}5^{-7}$
talbot$1.0$ $[\text{s}\cdot \text{lm}]$$1$
lumerg$1.0000000000000001 \times 10^{-7}$ $[\text{s}\cdot \text{lm}]$$2^{-7}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$1.0$ $[\text{s}^{-1}]$$1$
actions per minute$0.016666666666666666$ $[\text{s}^{-1}]$$2^{-2}3^{-1}5^{-1}$
revolutions per minute$0.10471975511965977$ $[\text{s}^{-1}]$$\tau\cdot 2^{-2}3^{-1}5^{-1}$
kayser$100.0$ $[\text{m}^{-1}]$$2^{2}5^{2}$
diopter$1.0$ $[\text{m}^{-1}]$$1$
rayleigh$1.0 \times 10^{10}$ $[\text{m}^{-2}\text{s}]$$2^{10}5^{10}$
flick$1.0 \times 10^{7}$ $[\text{t}\cdot \text{m}^{-1}\text{s}^{-3}]$$2^{7}5^{7}$
g-force$9.80665$ $[\text{m}\cdot \text{s}^{-2}]$$\text{g}_0$
galileo$0.010000000000000002$ $[\text{m}\cdot \text{s}^{-2}]$$2^{-2}5^{-2}$
eotvos$1.0 \times 10^{-9}$ $[\text{s}^{-2}]$$2^{-9}5^{-9}$
darcy$9.86923266716013 \times 10^{-13}$ $[\text{m}^{2}]$$\text{atm}^{-1}2^{-7}5^{-7}$
poise$0.0001$ $[\text{t}\cdot \text{m}^{-1}\text{s}^{-1}]$$2^{-4}5^{-4}$
reyn$6.894757293168361$ $[\text{t}\cdot \text{m}^{-1}\text{s}^{-1}]$$\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot 2\cdot 3^{2}5^{-3}$
stokes$0.0001$ $[\text{m}^{2}\text{s}^{-1}]$$2^{-4}5^{-4}$
rayl$0.001$ $[\text{t}\cdot \text{m}^{-2}\text{s}^{-1}]$$2^{-3}5^{-3}$
mpg equivalent$0.013380584481180183$ $[\text{sn}^{-1}]$$\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}2^{-1}5^{-4}11\cdot 19^{-1}43$
langley$41.86737323211056$ $[\text{t}\cdot \text{s}^{-2}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{3}3^{2}5^{2}43^{-1}$
jansky$1.0000000000000001 \times 10^{-29}$ $[\text{t}\cdot \text{s}^{-2}]$$2^{-29}5^{-29}$
solar flux$9.999999999999999 \times 10^{-26}$ $[\text{t}\cdot \text{s}^{-2}]$$2^{-25}5^{-25}$
curie$3.7 \times 10^{10}$ $[\text{s}^{-1}]$$2^{9}5^{9}37$
gray$1.0$ $[\text{m}^{2}\text{s}^{-2}]$$1$
roentgen$0.2579768717696458$ $[\text{t}^{-1}\text{C}]$$\text{c}^{-1}2^{8}5^{8}/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$1.0$ $[\text{s}^{-1}\text{C}]$$1$
abampere$10.0$ $[\text{s}^{-1}\text{C}]$$2\cdot 5$
statampere$3.3356409519815207 \times 10^{-10}$ $[\text{s}^{-1}\text{C}]$$\text{c}^{-1}2^{-1}5^{-1}$

Electromotive Units

NameQuantityProduct
volt$0.001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}\text{C}^{-1}]$$2^{-3}5^{-3}$
abvolt$1.0 \times 10^{-11}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}\text{C}^{-1}]$$2^{-11}5^{-11}$
statvolt$0.29979245800000004$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-2}\text{C}^{-1}]$$\text{c}\cdot 2^{-9}5^{-9}$

Inductance Units

NameQuantityProduct
henry$0.001$ $[\text{t}\cdot \text{m}^{2}\text{C}^{-2}]$$2^{-3}5^{-3}$
abhenry$1.0000000000000002 \times 10^{-12}$ $[\text{t}\cdot \text{m}^{2}\text{C}^{-2}]$$2^{-12}5^{-12}$
stathenry$8.987551787368176 \times 10^{8}$ $[\text{t}\cdot \text{m}^{2}\text{C}^{-2}]$$\text{c}^{2}2^{-8}5^{-8}$

Resistance Units

NameQuantityProduct
ohm$0.001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-2}]$$2^{-3}5^{-3}$
abohm$1.0000000000000002 \times 10^{-12}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-2}]$$2^{-12}5^{-12}$
statohm$8.987551787368176 \times 10^{8}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-2}]$$\text{c}^{2}2^{-8}5^{-8}$

Conductance Units

NameQuantityProduct
siemens$1000.0$ $[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}^{2}]$$2^{3}5^{3}$
abmho$1.0 \times 10^{12}$ $[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}^{2}]$$2^{12}5^{12}$
statmho$1.1126500560536184 \times 10^{-9}$ $[\text{t}^{-1}\text{m}^{-2}\text{s}\cdot \text{C}^{2}]$$\text{c}^{-2}2^{8}5^{8}$

Capacitance Units

NameQuantityProduct
farad$1000.0$ $[\text{t}^{-1}\text{m}^{-2}\text{s}^{2}\text{C}^{2}]$$2^{3}5^{3}$
abfarad$1.0 \times 10^{12}$ $[\text{t}^{-1}\text{m}^{-2}\text{s}^{2}\text{C}^{2}]$$2^{12}5^{12}$
statfarad$1.1126500560536184 \times 10^{-9}$ $[\text{t}^{-1}\text{m}^{-2}\text{s}^{2}\text{C}^{2}]$$\text{c}^{-2}2^{8}5^{8}$

Magnetic Flux Units

NameQuantityProduct
weber$0.001$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-1}]$$2^{-3}5^{-3}$
maxwell$1.0 \times 10^{-11}$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-1}]$$2^{-11}5^{-11}$
statfarad$0.29979245800000004$ $[\text{t}\cdot \text{m}^{2}\text{s}^{-1}\text{C}^{-1}]$$\text{c}\cdot 2^{-9}5^{-9}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$0.001$ $[\text{t}\cdot \text{s}^{-1}\text{C}^{-1}]$$2^{-3}5^{-3}$
gauss$1.0000000000000001 \times 10^{-7}$ $[\text{t}\cdot \text{s}^{-1}\text{C}^{-1}]$$2^{-7}5^{-7}$
stattesla$2997.9245800000003$ $[\text{t}\cdot \text{s}^{-1}\text{C}^{-1}]$$\text{c}\cdot 2^{-5}5^{-5}$

Magnetic Specialized Units

NameQuantityProduct
oersted$79.57747154594767$ $[\text{m}^{-1}\text{s}^{-1}\text{C}]$$\tau^{-1}2^{2}5^{3}$
gilbert$0.7957747154594768$ $[\text{s}^{-1}\text{C}]$$\tau^{-1}5$

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