LorentzHeaviside

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

Standard Constants

NameQuantityProduct
hyperfine transition$9.19263177 \times 10^{9}$ $[\text{Hz}]$$\Delta\nu_\text{Cs}$
light speed$2.99792458 \times 10^{10}$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{c}\cdot 2^{2}5^{2}$
Planck$6.62607015 \times 10^{-27}$ $[\text{erg} \cdot \text{s}]$$\hbar\cdot 2^{7}5^{7}$
Planck reduced$1.0545718176461565 \times 10^{-27}$ $[\text{erg} \cdot \text{s}]$$\hbar\cdot \tau^{-1}2^{7}5^{7}$
electron mass$9.1093837016(28) \times 10^{-28}$ $[\text{g}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}2^{4}5^{3}$
molar mass$1.0$ $[\text{g}\cdot \text{mol}^{-1}]$$1$
Boltzmann$1.38064899953(43) \times 10^{-16}$ $[\text{erg} \cdot \text{K}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2^{11}5^{10}$
vacuum permeability$1.0$ $[\mathbb{1}]$$1$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$3.335640951981521 \times 10^{-11}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-1}2^{-2}5^{-2}$
luminous efficacy$6.8301969009009 \times 10^{-5}$ $[\text{lm} \cdot \text{s} \cdot \text{erg}^{-1}]$$\text{K}_\text{cd}\cdot 2^{-7}5^{-7}$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$1.66053906660(51) \times 10^{-24}$ $[\text{g}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}$
proton mass$1.67262192369(52) \times 10^{-24}$ $[\text{g}]$$\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{4}5^{3}$
Planck mass$2.176434(24) \times 10^{-5}$ $[\text{g}]$$\text{m}_\text{P}\cdot 2^{3}5^{3}$
Newton gravitation$6.67430(15) \times 10^{-8}$ $[\text{g}^{-1}\text{cm}^{3}\text{s}^{-2}]$$\hbar\cdot \text{c}\cdot \text{m}_\text{P}^{-2}\tau^{-1}2^{3}5^{3}$
Gauss gravitation$1.990983676471466 \times 10^{-7}$ $[\text{Hz}]$$\text{k}_\text{G}\cdot \tau\cdot 2^{-14}3^{-7}5^{-5}$
Einstein gravitation$2.076648(46) \times 10^{-48}$ $[\text{dyn}^{-1}]$$\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-2}2^{-3}5^{-5}$
Hartree$4.3597447222072(83) \times 10^{-11}$ $[\text{erg}]$$\hbar\cdot \text{c}\cdot \text{R}_{\infty}\cdot 2^{8}5^{7}$
Rydberg$109737.31568160(21)$ $[\text{cm}^{-1}]$$\text{R}_{\infty}\cdot 2^{-2}5^{-2}$
Bohr radius$5.29177210902(81) \times 10^{-9}$ $[\text{cm}]$$\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$
electron radius$2.8179403262(13) \times 10^{-13}$ $[\text{cm}]$$\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2\cdot 5^{2}$
Avogadro$6.0221407621(19) \times 10^{23}$ $[\text{mol}^{-1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot 2^{-4}5^{-3}$
Molar gas$8.31446261815324 \times 10^{7}$ $[\text{erg} \cdot \text{K}^{-1} \text{mol}^{-1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot 2^{7}5^{7}$
Stefan-Boltzmann$5.6703744114(70) \times 10^{-5}$ $[\text{erg} \cdot \text{s}^{-1} \text{cm}^{-2} \text{K}^{-4}]$$\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^{15}3^{-1}5^{14}$
radiation density$7.5657332399(93) \times 10^{-15}$ $[\text{Ba} \cdot \text{K}^{-4}]$$\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\hbar\cdot \text{c}^{-7}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}\tau^{5}2^{15}3^{-1}5^{12}$
vacuum permittivity$1.0$ $[\mathbb{1}]$$1$
electrostatic$0.07957747154594767$ $[\mathbb{1}]$$\tau^{-1}2^{-1}$
magnetostatic$8.85418781762039 \times 10^{-23}$ $[\text{cm}^{-2}\text{s}^{2}]$$\text{c}^{-2}\tau^{-1}2^{-5}5^{-4}$
Biot-Savart$2.654418729438073 \times 10^{-12}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-1}\tau^{-1}2^{-3}5^{-2}$
elementary charge$1.70269173836(13) \times 10^{-9}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\hbar^{1/2}\text{c}^{1/2}\alpha^{1/2}2^{5}5^{9/2}$
Faraday$1.02538493228(39) \times 10^{15}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}\text{mol}^{-1}]$$\hbar^{-1/2}\text{c}^{3/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot 2\cdot 5^{3/2}$
vacuum impedance$3.335640951981521 \times 10^{-11}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-1}2^{-2}5^{-2}$
conductance quantum$8.7507650546(13) \times 10^{8}$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{c}\cdot \alpha\cdot 2^{4}5^{2}$
Klitzing$2.28551445220(35) \times 10^{-9}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-1}\alpha^{-1}2^{-3}5^{-2}$
Josephson$1.71430973790(13) \times 10^{7}$ $[\text{g}^{-1/2}\text{cm}^{-3/2}\text{s}]$$\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}2^{-3}5^{-9/2}$
magnetic flux quantum$5.83325158746(45) \times 10^{-8}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\hbar^{1/2}\text{c}^{1/2}\alpha^{-1/2}2^{3}5^{9/2}$
magneton$3.2875509762(13) \times 10^{-20}$ $[\text{g}^{1/2}\text{cm}^{5/2}\text{s}^{-1}]$$\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1}2^{5}5^{13/2}$
Loschmidt$2.6867801117984436 \times 10^{19}$ $[\text{mL}^{-1}]$$\text{k}_\text{B}^{-1}\text{T}_0^{-1}\text{atm}\cdot 2^{-6}5^{-6}$
mechanical heat$4.186737323211056 \times 10^{7}$ $[\text{erg}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{9}3^{2}5^{8}43^{-1}$
Wien wavelength$0.289777195618(89)$ $[\text{cm}\cdot \text{K}]$
Wien frequency$5.8789257556(18) \times 10^{10}$ $[\text{Hz} \cdot \text{K}^{-1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$2.555(19) \times 10^{55}$ $[\text{g}]$$\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^{12}3^{7/2}5^{9}$
solar mass$1.988409(44) \times 10^{33}$ $[\text{g}]$$\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-25}3^{-14}5^{-7}$
Jupiter mass$1.898124(42) \times 10^{30}$ $[\text{g}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{3}5^{3}$
Earth mass$5.97217(13) \times 10^{27}$ $[\text{g}]$$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{3}5^{3}$
g-force$980.665$ $[\text{gal}]$$\text{g}_0\cdot 2^{2}5^{2}$
Earth radius$6.3754163237(64) \times 10^{8}$ $[\text{cm}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}2^{2}5^{2}$
great circle$4.0057922172(40) \times 10^{9}$ $[\text{cm}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{2}5^{2}$
nautical mile$185453.34339(19)$ $[\text{cm}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-3}3^{-3}$
Hubble$2.193(14) \times 10^{-18}$ $[\text{Hz}]$$\text{H}_0\cdot \text{au}^{-1}\tau\cdot 2^{-10}3^{-4}5^{-6}$
cosmological$1.106(16) \times 10^{-56}$ $[\text{cm}^{-2}]$$\text{c}^{-2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\tau^{2}2^{-24}3^{-7}5^{-16}$

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$1.0 \times 10^{-8}$ $[\text{cm}]$$2^{-8}5^{-8}$
inch$2.5399999999999996$ $[\text{cm}]$$\text{ft}\cdot 3^{-1}5^{2}$
foot$30.48$ $[\text{cm}]$$\text{ft}\cdot 2^{2}5^{2}$
survey foot$30.480060960121918$ $[\text{cm}]$$\text{ft}_\text{US}\cdot 2^{2}5^{2}$
yard$91.44$ $[\text{cm}]$$\text{ft}\cdot 2^{2}3\cdot 5^{2}$
meter$100.0$ $[\text{cm}]$$2^{2}5^{2}$
Earth meter$100.144805430(10)$ $[\text{cm}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-7}5^{-5}$
mile$160934.4$ $[\text{cm}]$$\text{ft}\cdot 2^{7}3\cdot 5^{3}11$
statute mile$160934.72186944372$ $[\text{cm}]$$\text{ft}_\text{US}\cdot 2^{7}3\cdot 5^{3}11$
meridian mile$185185.1851851852$ $[\text{cm}]$$2^{6}3^{-3}5^{7}$
admiralty mile$185318.40000000002$ $[\text{cm}]$$\text{ft}\cdot 2^{8}5^{3}19$
nautical mile$185453.34339(19)$ $[\text{cm}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-3}3^{-3}$
lunar distance$3.84399 \times 10^{10}$ $[\text{cm}]$$2^{5}3^{3}5^{5}14237$
astronomical unit$1.495978707000(30) \times 10^{13}$ $[\text{cm}]$$\text{au}\cdot 2^{2}5^{2}$
Jupiter distance$7.78479 \times 10^{13}$ $[\text{cm}]$$2^{8}3\cdot 5^{8}259493$
light-year$9.4607304725808 \times 10^{17}$ $[\text{cm}]$$\text{c}\cdot \text{a}_\text{j}\cdot 2^{9}3^{3}5^{4}$
parsec$3.085677581491(62) \times 10^{18}$ $[\text{cm}]$$\text{au}\cdot \tau^{-1}2^{9}3^{4}5^{5}$

Speed Units

NameQuantityProduct
Bubnoff$3.1688087814028955 \times 10^{-6}$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{a}_\text{j}^{-1}2^{-5}3^{-3}$
feet per minute$0.508$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{ft}\cdot 3^{-1}5$
inches per second$2.5399999999999996$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{ft}\cdot 3^{-1}5^{2}$
kilometers per hour$27.777777777777775$ $[\text{cm}\cdot \text{s}^{-1}]$$2\cdot 3^{-2}5^{3}$
feet per second$30.48$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{2}5^{2}$
miles per hour$44.704$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{3}3^{-1}5\cdot 11$
knot$51.514817608(52)$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-7}3^{-5}5^{-2}$
meters per second$100.0$ $[\text{cm}\cdot \text{s}^{-1}]$$2^{2}5^{2}$
miles per second$160934.4$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{ft}\cdot 2^{7}3\cdot 5^{3}11$

Area Units

NameQuantityProduct
barn$1.0 \times 10^{-24}$ $[\text{cm}^{2}]$$2^{-24}5^{-24}$
hectare$1.0 \times 10^{8}$ $[\text{cm}^{2}]$$2^{8}5^{8}$
acre$4.0468564224 \times 10^{7}$ $[\text{cm}^{2}]$$\text{ft}^{2}2^{7}3^{2}5^{5}11^{2}$
survey acre$4.0468726098742515 \times 10^{7}$ $[\text{cm}^{2}]$$\text{ft}_\text{US}^{2}2^{7}3^{2}5^{5}11^{2}$

Volume Units

NameQuantityProduct
liter$1000.0$ $[\text{mL}]$$2^{3}5^{3}$
gallon$3785.411784000001$ $[\text{mL}]$$\text{ft}^{3}3^{-2}5^{6}7\cdot 11$
quart$946.3529460000002$ $[\text{mL}]$$\text{ft}^{3}2^{-2}3^{-2}5^{6}7\cdot 11$
pint$473.1764730000001$ $[\text{mL}]$$\text{ft}^{3}2^{-3}3^{-2}5^{6}7\cdot 11$
cup$236.58823650000005$ $[\text{mL}]$$\text{ft}^{3}2^{-4}3^{-2}5^{6}7\cdot 11$
fluid ounce$29.573529562500006$ $[\text{mL}]$$\text{ft}^{3}2^{-7}3^{-2}5^{6}7\cdot 11$
teaspoon$5.0$ $[\text{mL}]$$5$
tablespoon$15.0$ $[\text{mL}]$$3\cdot 5$

Mass Units

NameQuantityProduct
gram$1.0$ $[\text{g}]$$1$
Earth gram$1.0043504565(30)$ $[\text{g}]$$\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-27}5^{-21}$
kilogram$1000.0$ $[\text{g}]$$2^{3}5^{3}$
tonne$1.0 \times 10^{6}$ $[\text{g}]$$2^{6}5^{6}$
ton$907184.74$ $[\text{g}]$$\text{lb}\cdot 2^{7}5^{6}$
pound (mass)$453.59237$ $[\text{g}]$$\text{lb}\cdot 2^{3}5^{3}$
ounce$28.349523125$ $[\text{g}]$$\text{lb}\cdot 2^{-1}5^{3}$
grain$0.06479891$ $[\text{g}]$$\text{lb}\cdot 7^{-1}$
slug$14593.902937206363$ $[\text{g}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{3}5^{3}$
slinch$175126.83524647637$ $[\text{g}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{5}3\cdot 5^{3}$
hyl$9806.65$ $[\text{g}]$$\text{g}_0\cdot 2^{3}5^{3}$

Force Units

NameQuantityProduct
dyne$1.0$ $[\text{dyn}]$$1$
newton$100000.0$ $[\text{dyn}]$$2^{5}5^{5}$
poundal$13825.495437600002$ $[\text{dyn}]$$\text{ft}\cdot \text{lb}\cdot 2^{5}5^{5}$
pound (force)$444822.16152604995$ $[\text{dyn}]$$\text{g}_0\cdot \text{lb}\cdot 2^{5}5^{5}$
kilopond$980665.0$ $[\text{dyn}]$$\text{g}_0\cdot 2^{5}5^{5}$

Presure Units

NameQuantityProduct
pounds per square inch$68947.5729316836$ $[\text{Ba}]$$\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot 2^{5}3^{2}5$
pascal$10.0$ $[\text{Ba}]$$2\cdot 5$
barye$1.0$ $[\text{Ba}]$$1$
bar$1.0 \times 10^{6}$ $[\text{Ba}]$$2^{6}5^{6}$
technical atmosphere$980665.0$ $[\text{Ba}]$$\text{g}_0\cdot 2^{5}5^{5}$
atmosphere$1.01325 \times 10^{6}$ $[\text{Ba}]$$\text{atm}\cdot 2\cdot 5$
inch mercury$33863.89000000001$ $[\text{Ba}]$$\text{in}_\text{Hg}^{-1}2\cdot 5$
torr$1333.2236842105262$ $[\text{Ba}]$$\text{atm}\cdot 2^{-2}19^{-1}$

Energy Units

NameQuantityProduct
erg$1.0$ $[\text{erg}]$$1$
joule$1.0 \times 10^{7}$ $[\text{erg}]$$2^{7}5^{7}$
foot-pound$1.3558179483314004 \times 10^{7}$ $[\text{erg}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{7}5^{7}$
calorie$4.186737323211056 \times 10^{7}$ $[\text{erg}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{9}3^{2}5^{8}43^{-1}$
kilocalorie$4.186737323211056 \times 10^{10}$ $[\text{erg}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{12}3^{2}5^{11}43^{-1}$
mean calorie$4.186841954605034 \times 10^{7}$ $[\text{erg}]$$2^{9}3^{2}5^{8}43^{-1}1.0001900224889804$
Earth calorie$4.204951542(13) \times 10^{7}$ $[\text{erg}]$$\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-18}3^{2}5^{-13}43^{-1}$
British thermal unit$1.0550400583348663 \times 10^{10}$ $[\text{erg}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{12}5^{12}43^{-1}$
gas gallon$1.2027456665017475 \times 10^{15}$ $[\text{erg}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{16}3\cdot 5^{15}19\cdot 43^{-1}$
ton TNT$4.186737323211057 \times 10^{16}$ $[\text{erg}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{18}3^{2}5^{17}43^{-1}$
electronvolt$1.602176634 \times 10^{-12}$ $[\text{erg}]$$\text{e}\cdot 2^{7}5^{7}$

Power Units

NameQuantityProduct
watt$1.0 \times 10^{7}$ $[\text{erg} \cdot \text{s}^{-1}]$$2^{7}5^{7}$
horsepower (Watt)$7.36029107611162 \times 10^{9}$ $[\text{erg} \cdot \text{s}^{-1}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau\cdot 2^{11}3^{3}5^{6}$
horsepower (Metric)$7.3549875 \times 10^{9}$ $[\text{erg} \cdot \text{s}^{-1}]$$\text{g}_0\cdot 2^{7}3\cdot 5^{9}$
horsepower$7.456998715822701 \times 10^{9}$ $[\text{erg} \cdot \text{s}^{-1}]$$\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{8}5^{9}11$
electrical horsepower$7.46 \times 10^{9}$ $[\text{erg} \cdot \text{s}^{-1}]$$2^{8}5^{7}373$
tons refrigeration$3.516800194449554 \times 10^{10}$ $[\text{erg} \cdot \text{s}^{-1}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{13}3^{-1}5^{13}43^{-1}$
boiler horsepower$9.810407209099901 \times 10^{10}$ $[\text{erg} \cdot \text{s}^{-1}]$$\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3^{-2}5^{12}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}]$$\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{5}3\cdot 5^{3}$
katal$1.0$ $[\text{kat}]$$1$
amagat$4.4615033390(14) \times 10^{-5}$ $[\text{cm}^{-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^{-2}5^{-3}$

Photometric Units

NameQuantityProduct
lumen$1.0$ $[\text{cd}]$$1$
candela$1.0$ $[\text{cd}]$$1$
lux$0.0001$ $[\text{ph}]$$2^{-4}5^{-4}$
phot$1.0$ $[\text{ph}]$$1$
foot-candle$0.0010763910416709721$ $[\text{ph}]$$\text{ft}^{-2}2^{-4}5^{-4}$
nit$0.0001$ $[\text{ph}]$$2^{-4}5^{-4}$
abostilb$3.183098861837907 \times 10^{-5}$ $[\text{ph}]$$\tau^{-1}2^{-3}5^{-4}$
stilb$1.0$ $[\text{ph}]$$1$
lambert$0.3183098861837907$ $[\text{ph}]$$\tau^{-1}2$
foot-lambert$0.00034262590996353903$ $[\text{ph}]$$\text{ft}^{-2}\tau^{-1}2^{-3}5^{-4}$
bril$3.1830988618379067 \times 10^{-12}$ $[\text{ph}]$$\tau^{-1}2^{-10}5^{-11}$
talbot$1.0$ $[\text{s}\cdot \text{lm}]$$1$
lumerg$1.0000000000000001 \times 10^{-7}$ $[\text{s}\cdot \text{lm}]$$2^{-7}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$1.0$ $[\text{Hz}]$$1$
actions per minute$0.016666666666666666$ $[\text{Hz}]$$2^{-2}3^{-1}5^{-1}$
revolutions per minute$0.10471975511965977$ $[\text{Hz}]$$\tau\cdot 2^{-2}3^{-1}5^{-1}$
kayser$1.0$ $[\text{cm}^{-1}]$$1$
diopter$0.010000000000000002$ $[\text{cm}^{-1}]$$2^{-2}5^{-2}$
rayleigh$1.0 \times 10^{6}$ $[\text{Hz} \cdot \text{m}^{-2}]$$2^{6}5^{6}$
flick$1.0 \times 10^{11}$ $[\text{erg} \cdot \text{s}^{-1} \text{mL}^{-1}]$$2^{11}5^{11}$
g-force$980.665$ $[\text{gal}]$$\text{g}_0\cdot 2^{2}5^{2}$
galileo$1.0$ $[\text{gal}]$$1$
eotvos$1.0 \times 10^{-9}$ $[\text{gal} \cdot \text{cm}^{-1}]$$2^{-9}5^{-9}$
darcy$9.86923266716013 \times 10^{-9}$ $[\text{cm}^{2}]$$\text{atm}^{-1}2^{-3}5^{-3}$
poise$1.0$ $[\text{P}]$$1$
reyn$68947.5729316836$ $[\text{P}]$$\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot 2^{5}3^{2}5$
stokes$1.0$ $[\text{St}]$$1$
rayl$0.1$ $[\text{g}\cdot \text{cm}^{-2}\text{s}^{-1}]$$2^{-1}5^{-1}$
mpg equivalent$1.3380584481180186 \times 10^{-10}$ $[\text{dyn}^{-1}]$$\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}2^{-9}5^{-12}11\cdot 19^{-1}43$
langley$4.186737323211056 \times 10^{7}$ $[\text{dyn} \cdot \text{cm}^{-1}]$$\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{9}3^{2}5^{8}43^{-1}$
jansky$1.0 \times 10^{-23}$ $[\text{dyn} \cdot \text{cm}^{-1}]$$2^{-23}5^{-23}$
solar flux$1.0 \times 10^{-19}$ $[\text{dyn} \cdot \text{cm}^{-1}]$$2^{-19}5^{-19}$
curie$3.7 \times 10^{10}$ $[\text{Hz}]$$2^{9}5^{9}37$
gray$10000.0$ $[\text{erg} \cdot \text{g}^{-1}]$$2^{4}5^{4}$
roentgen$2741.6146185700172$ $[\text{g}^{-1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\tau^{1/2}2^{7/2}5^{3}/1.293$

Charge Units

NameQuantityProduct
coulomb$1.0627365933090603 \times 10^{10}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\text{c}\cdot \tau^{1/2}2^{3/2}5$
Earth coulomb$1.0658166223(21) \times 10^{10}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\text{c}\cdot \text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-33/2}5^{-13}$
abcoulomb$1.0627365933090604 \times 10^{11}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\text{c}\cdot \tau^{1/2}2^{5/2}5^{2}$
statcoulomb$3.5449077018110318$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\tau^{1/2}2^{1/2}$

Current Units

NameQuantityProduct
ampere$1.0627365933090603 \times 10^{10}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-2}]$$\text{c}\cdot \tau^{1/2}2^{3/2}5$
abampere$1.0627365933090604 \times 10^{11}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-2}]$$\text{c}\cdot \tau^{1/2}2^{5/2}5^{2}$
statampere$3.5449077018110318$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-2}]$$\tau^{1/2}2^{1/2}$

Electromotive Units

NameQuantityProduct
volt$0.0009409669397816478$ $[\text{g}^{1/2}\text{cm}^{1/2}\text{s}^{-1}]$$\text{c}^{-1}\tau^{-1/2}2^{11/2}5^{6}$
abvolt$9.40966939781648 \times 10^{-12}$ $[\text{g}^{1/2}\text{cm}^{1/2}\text{s}^{-1}]$$\text{c}^{-1}\tau^{-1/2}2^{-5/2}5^{-2}$
statvolt$0.2820947917738782$ $[\text{g}^{1/2}\text{cm}^{1/2}\text{s}^{-1}]$$\tau^{-1/2}2^{-1/2}$

Inductance Units

NameQuantityProduct
henry$8.85418781762039 \times 10^{-14}$ $[\text{cm}^{-1}\text{s}^{2}]$$\text{c}^{-2}\tau^{-1}2^{4}5^{5}$
abhenry$8.85418781762039 \times 10^{-23}$ $[\text{cm}^{-1}\text{s}^{2}]$$\text{c}^{-2}\tau^{-1}2^{-5}5^{-4}$
stathenry$0.07957747154594767$ $[\text{cm}^{-1}\text{s}^{2}]$$\tau^{-1}2^{-1}$

Resistance Units

NameQuantityProduct
ohm$8.85418781762039 \times 10^{-14}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-2}\tau^{-1}2^{4}5^{5}$
abohm$8.85418781762039 \times 10^{-23}$ $[\text{cm}^{-1}\text{s}]$$\text{c}^{-2}\tau^{-1}2^{-5}5^{-4}$
statohm$0.07957747154594767$ $[\text{cm}^{-1}\text{s}]$$\tau^{-1}2^{-1}$

Conductance Units

NameQuantityProduct
siemens$1.129409066758147 \times 10^{13}$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{c}^{2}\tau\cdot 2^{-4}5^{-5}$
abmho$1.129409066758147 \times 10^{22}$ $[\text{cm}\cdot \text{s}^{-1}]$$\text{c}^{2}\tau\cdot 2^{5}5^{4}$
statmho$12.566370614359172$ $[\text{cm}\cdot \text{s}^{-1}]$$\tau\cdot 2$

Capacitance Units

NameQuantityProduct
farad$1.129409066758147 \times 10^{13}$ $[\text{cm}]$$\text{c}^{2}\tau\cdot 2^{-4}5^{-5}$
abfarad$1.129409066758147 \times 10^{22}$ $[\text{cm}]$$\text{c}^{2}\tau\cdot 2^{5}5^{4}$
statfarad$12.566370614359172$ $[\text{cm}]$$\tau\cdot 2$

Magnetic Flux Units

NameQuantityProduct
weber$2.820947917738782 \times 10^{7}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\tau^{-1/2}2^{15/2}5^{8}$
maxwell$0.2820947917738782$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\tau^{-1/2}2^{-1/2}$
statfarad$8.456989101488912 \times 10^{9}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-1}]$$\text{c}\cdot \tau^{-1/2}2^{3/2}5^{2}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$2820.947917738782$ $[\text{g}^{1/2}\text{cm}^{-1/2}\text{s}^{-1}]$$\tau^{-1/2}2^{7/2}5^{4}$
gauss$0.2820947917738782$ $[\text{g}^{1/2}\text{cm}^{-1/2}\text{s}^{-1}]$$\tau^{-1/2}2^{-1/2}$
stattesla$8.456989101488912 \times 10^{9}$ $[\text{g}^{1/2}\text{cm}^{-1/2}\text{s}^{-1}]$$\text{c}\cdot \tau^{-1/2}2^{3/2}5^{2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$0.2820947917738782$ $[\text{g}^{1/2}\text{cm}^{-1/2}\text{s}^{-1}]$$\tau^{-1/2}2^{-1/2}$
gilbert$8.456989101488912 \times 10^{9}$ $[\text{g}^{1/2}\text{cm}^{3/2}\text{s}^{-2}]$$\text{c}\cdot \tau^{-1/2}2^{3/2}5^{2}$

Equivalent dimensional quantities

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