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NaturalGauss

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

Standard Constants

NameQuantityProduct
hyperfine transition$1.18409248138(36) \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\Delta\nu_\text{Cs}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
light speed$1.0$ $[\mathbb{1}]$$1$
Planck$6.283185307179586$ $[\mathbb{1}]$$\tau$
Planck reduced$1.0$ $[\mathbb{1}]$$1$
electron mass$1.0$ $[\mathbb{1}]$$1$
molar mass$1.0$ $[\mathbb{1}]$$1$
Boltzmann$1.0$ $[\mathbb{1}]$$1$
vacuum permeability$12.566370614359172$ $[\text{e}_\text{n}^{-2}]$$\tau\cdot 2$
rationalization$1.0$ $[\mathbb{1}]$$1$
Lorentz$1.0$ $[\mathbb{1}]$$1$
luminous efficacy$1.0$ $[\mathbb{1}]$$1$
gravity$1.0$ $[\mathbb{1}]$$1$
radian$1.0$ $[\mathbb{1}]$$1$
turn$6.283185307179586$ $[\mathbb{1}]$$\tau$
spat$12.566370614359172$ $[\mathbb{1}]$$\tau\cdot 2$
Dalton$1822.888486209(53)$ $[\mathbb{1}]$$\mu_\text{eu}^{-1}$
proton mass$1836.15267343(11)$ $[\mathbb{1}]$$\mu_\text{eu}^{-1}\mu_\text{pu}$
Planck mass$2.389222(26) \times 10^{22}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}\cdot 2^{-1}$
Newton gravitation$1.751810(39) \times 10^{-45}$ $[\mathbb{1}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\text{m}_\text{P}^{-2}2^{2}$
Gauss gravitation$2.56456351221(79) \times 10^{-28}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{k}_\text{G}\cdot 2^{-15}3^{-7}5^{-5}$
Einstein gravitation$4.402779(97) \times 10^{-44}$ $[\mathbb{1}]$$\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\text{m}_\text{P}^{-2}\tau\cdot 2^{4}$
Hartree$5.3251354520(16) \times 10^{-5}$ $[\mathbb{1}]$$\alpha^{2}$
Rydberg$4.2376081491(13) \times 10^{-6}$ $[\mathbb{1}]$$\alpha^{2}\tau^{-1}2^{-1}$
Bohr radius$137.035999084(21)$ $[\mathbb{1}]$$\alpha^{-1}$
electron radius$0.0072973525693(11)$ $[\mathbb{1}]$$\alpha$
Avogadro$0.000548579909065(16)$ $[\mathbb{1}]$$\mu_\text{eu}$
Molar gas$0.000548579909065(16)$ $[\mathbb{1}]$$\mu_\text{eu}$
Stefan-Boltzmann$0.16449340668482262$ $[\mathbb{1}]$$\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density$0.6579736267392905$ $[\mathbb{1}]$$\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity$0.07957747154594767$ $[\text{e}_\text{n}^{2}]$$\tau^{-1}2^{-1}$
electrostatic$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
magnetostatic$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
Biot-Savart$1.0$ $[\text{e}_\text{n}^{-2}]$$1$
elementary charge$0.0854245431318(65)$ $[\text{e}_\text{n}]$$\alpha^{1/2}$
Faraday$4.68621881032(38) \times 10^{-5}$ $[\text{e}_\text{n}]$$\alpha^{1/2}\mu_\text{eu}$
vacuum impedance$12.566370614359172$ $[\text{e}_\text{n}^{-2}]$$\tau\cdot 2$
conductance quantum$0.00232281946577(36)$ $[\text{e}_\text{n}^{2}]$$\alpha\cdot \tau^{-1}2$
Klitzing$861.02257600(13)$ $[\text{e}_\text{n}^{-2}]$$\alpha^{-1}\tau$
Josephson$0.0271914766016(21)$ $[\text{e}_\text{n}]$$\alpha^{1/2}\tau^{-1}2$
magnetic flux quantum$36.7762300905(28)$ $[\text{e}_\text{n}^{-1}]$$\alpha^{-1/2}\tau\cdot 2^{-1}$
magneton$0.0427122715659(33)$ $[\text{e}_\text{n}]$$\alpha^{1/2}2^{-1}$
Loschmidt$1.5471467610(14) \times 10^{-12}$ $[\mathbb{1}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$
mechanical heat$0.0002762367317680(80)$ $[\mathbb{1}]$$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\mu_\text{eu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$
Wien wavelength$1.2654664150541133$ $[\mathbb{1}]$
Wien frequency$0.44904602270732236$ $[\mathbb{1}]$
Sackur-Tetrode$-1.1648705244(12)$ $[\mathbb{1}]$
Eddington$2.804(21) \times 10^{82}$ $[\mathbb{1}]$$\hbar^{-2}\text{c}^{3}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{8}3^{7/2}5^{6}$
solar mass$2.182814(48) \times 10^{60}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-29}3^{-14}5^{-10}$
Jupiter mass$2.083702(46) \times 10^{57}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-1}$
Earth mass$6.55606(14) \times 10^{54}$ $[\mathbb{1}]$$\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-1}$
g-force$4.2135265250(13) \times 10^{-29}$ $[\mathbb{1}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \tau^{-1}2^{-1}$
Earth radius$1.6509810466(17) \times 10^{19}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2$
great circle$1.0373419854(11) \times 10^{20}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2$
nautical mile$4.8025091919(50) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
Hubble$2.824(18) \times 10^{-39}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$
cosmological$1.649(24) \times 10^{-77}$ $[\mathbb{1}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}2^{-22}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$7.7634407063(24) \times 10^{20}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2$
minute$4.6580644238(14) \times 10^{22}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{3}3\cdot 5$
hour$2.79483865428(86) \times 10^{24}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{5}3^{2}5^{2}$
day$6.7076127703(21) \times 10^{25}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{8}3^{3}5^{2}$
year$2.44995556434(75) \times 10^{28}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$

Length Units

NameQuantityProduct
angstrom$258.960507484(79)$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-9}5^{-10}$
inch$6.5775968901(20) \times 10^{10}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}\cdot \tau\cdot 2^{-1}3^{-1}$
foot$7.8931162681(24) \times 10^{11}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}\cdot \tau\cdot 2$
survey foot$7.8931320544(24) \times 10^{11}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}_\text{US}\cdot \tau\cdot 2$
yard$2.36793488043(73) \times 10^{12}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}\cdot \tau\cdot 2\cdot 3$
meter$2.58960507484(79) \times 10^{12}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2$
Earth meter$2.5933549636(27) \times 10^{12}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-8}5^{-7}$
mile$4.1675653896(13) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
statute mile$4.1675737247(13) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}_\text{US}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$
meridian mile$4.7955649534(15) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{5}3^{-3}5^{5}$
admiralty mile$4.7990146910(15) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{ft}\cdot \tau\cdot 2^{7}5\cdot 19$
nautical mile$4.8025091919(50) \times 10^{15}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
lunar distance$9.9544160116(31) \times 10^{20}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{4}3^{3}5^{3}14237$
astronomical unit$3.8739940515(12) \times 10^{23}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{au}\cdot \tau\cdot 2$
Jupiter distance$2.01595316905(62) \times 10^{24}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{7}3\cdot 5^{6}259493$
light-year$2.44995556434(75) \times 10^{28}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$
parsec$7.9906863243(25) \times 10^{28}$ $[\mathbb{1}]$$\text{R}_{\infty}\cdot \alpha^{-2}\text{au}\cdot 2^{8}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$0.00067060544436(41)$ $[\mathbb{1}]$$\text{R}_{\infty}^{2}\alpha^{-4}\tau^{2}2^{-26}5^{-28}$
hectare$6.7060544436(41) \times 10^{28}$ $[\mathbb{1}]$$\text{R}_{\infty}^{2}\alpha^{-4}\tau^{2}2^{6}5^{4}$
acre$2.7138439494(17) \times 10^{28}$ $[\mathbb{1}]$$\text{R}_{\infty}^{2}\alpha^{-4}\text{ft}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$
survey acre$2.7138548048(17) \times 10^{28}$ $[\mathbb{1}]$$\text{R}_{\infty}^{2}\alpha^{-4}\text{ft}_\text{US}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$

Volume Units

NameQuantityProduct
liter$1.7366032619(16) \times 10^{34}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\tau^{3}5^{-3}$
gallon$6.5737584518(60) \times 10^{34}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\text{ft}^{3}\tau^{3}2^{-3}3^{-2}7\cdot 11$
quart$1.6434396130(15) \times 10^{34}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\text{ft}^{3}\tau^{3}2^{-5}3^{-2}7\cdot 11$
pint$8.2171980648(76) \times 10^{33}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\text{ft}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$
cup$4.1085990324(38) \times 10^{33}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\text{ft}^{3}\tau^{3}2^{-7}3^{-2}7\cdot 11$
fluid ounce$5.1357487905(47) \times 10^{32}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\text{ft}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$
teaspoon$8.6830163097(80) \times 10^{31}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\tau^{3}2^{-3}5^{-5}$
tablespoon$2.6049048929(24) \times 10^{32}$ $[\mathbb{1}]$$\text{R}_{\infty}^{3}\alpha^{-6}\tau^{3}2^{-3}3\cdot 5^{-5}$

Mass Units

NameQuantityProduct
gram$1.09776910575(34) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-4}5^{-3}$
Earth gram$1.1025449025(33) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
kilogram$1.09776910575(34) \times 10^{30}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-1}$
tonne$1.09776910575(34) \times 10^{33}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{2}5^{3}$
ton$9.9587938078(31) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{3}5^{3}$
pound (mass)$4.9793969039(15) \times 10^{29}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-1}$
ounce$3.11212306494(95) \times 10^{28}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-5}$
grain$7.1134241484(22) \times 10^{25}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-4}5^{-3}7^{-1}$
slug$1.60207357768(49) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch$1.92248829321(59) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
hyl$1.07654374009(33) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot 2^{-1}$

Force Units

NameQuantityProduct
dyne$4.7166761794(29) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-7}5^{-5}$
newton$4.7166761794(29)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-2}$
poundal$0.65210384999(40)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
pound (force)$20.9808209330(13)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\text{g}_0\cdot \text{lb}\cdot \tau^{-1}2^{-2}$
kilopond$46.254792454(28)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\text{g}_0\cdot \tau^{-1}2^{-2}$

Presure Units

NameQuantityProduct
pounds per square inch$4.8493995628(59) \times 10^{-21}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-3}3^{2}$
pascal$7.0334594194(86) \times 10^{-25}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-4}$
barye$7.0334594194(86) \times 10^{-26}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-5}5^{-1}$
bar$7.0334594194(86) \times 10^{-20}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2\cdot 5^{5}$
technical atmosphere$6.8974674816(85) \times 10^{-20}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{g}_0\cdot \tau^{-3}5^{4}$
atmosphere$7.1266527568(87) \times 10^{-20}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{atm}\cdot \tau^{-3}2^{-4}$
inch mercury$2.3818029610(29) \times 10^{-21}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{in}_\text{Hg}^{-1}\tau^{-3}2^{-4}$
torr$9.377174680(11) \times 10^{-23}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{atm}\cdot \tau^{-3}2^{-7}5^{-1}19^{-1}$

Energy Units

NameQuantityProduct
erg$1.22143285705(37) \times 10^{6}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-8}5^{-7}$
joule$1.22143285705(37) \times 10^{13}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-1}$
foot-pound$1.65604059027(51) \times 10^{13}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{-1}$
calorie$5.1138185304(16) \times 10^{13}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2\cdot 3^{2}5\cdot 43^{-1}$
kilocalorie$5.1138185304(16) \times 10^{16}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}3^{2}5^{4}43^{-1}$
mean calorie$5.1139463306(16) \times 10^{13}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2\cdot 3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie$5.136065976(16) \times 10^{13}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-26}3^{2}5^{-20}43^{-1}$
British thermal unit$1.28866059275(39) \times 10^{16}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}5^{5}43^{-1}$
gas gallon$1.46907307574(45) \times 10^{21}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT$5.1138185304(16) \times 10^{22}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{10}3^{2}5^{10}43^{-1}$
electronvolt$1.95695118356(60) \times 10^{-6}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{e}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-1}$

Power Units

NameQuantityProduct
watt$1.57331382212(96) \times 10^{-8}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-2}$
horsepower (Watt)$1.15800476849(71) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{2}3^{3}5^{-1}$
horsepower (Metric)$1.15717034952(71) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\text{g}_0\cdot \tau^{-1}2^{-2}3\cdot 5^{2}$
horsepower$1.17321991511(72) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-1}5^{2}11$
electrical horsepower$1.17369211130(72) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-1}373$
tons refrigeration$5.5330303556(34) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{4}3^{-1}5^{6}43^{-1}$
boiler horsepower$0.000154348492627(95)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{-1}3^{-2}5^{5}43^{-1}1339$

Thermodynamic Units

NameQuantityProduct
Kelvin$1.686370052070(49) \times 10^{-10}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}$
Rankine$9.36872251150(27) \times 10^{-11}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}2^{3}3^{-2}5^{4}$
Celsius$4.60631979723(13) \times 10^{-8}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot 2^{3}5^{3}$
Fahrenheit$4.30652067686(13) \times 10^{-8}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}2^{3}3^{-2}5^{4}459.67$
sea level$4.85927530504(14) \times 10^{-8}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}288.15$
boiling$6.29241834372(18) \times 10^{-8}$ $[\mathbb{1}]$$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}373.1339$
mole$1.09776910575(34) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-4}5^{-3}$
Earth-mole$1.1025449025(33) \times 10^{27}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-31}5^{-24}$
pound-mole$4.9793969039(15) \times 10^{29}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-1}$
slug-mole$1.60207357768(49) \times 10^{31}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-1}$
slinch-mole$1.92248829321(59) \times 10^{32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2\cdot 3$
katal$1.41402394541(87) \times 10^{6}$ $[\mathbb{1}]$$\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-5}5^{-3}$
amagat$2.8202760171(26) \times 10^{-9}$ $[\mathbb{1}]$$\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$

Photometric Units

NameQuantityProduct
lumen$2.3034677403(14) \times 10^{-11}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-2}$
candela$2.3034677403(14) \times 10^{-11}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{-2}$
lux$3.4349076043(42) \times 10^{-36}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-4}$
phot$3.4349076043(42) \times 10^{-32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}5^{4}$
foot-candle$3.6973037742(45) \times 10^{-35}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{ft}^{-2}\tau^{-3}2^{-4}$
nit$3.4349076043(42) \times 10^{-36}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-4}$
abostilb$1.0933650486(13) \times 10^{-36}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-4}2^{-3}$
stilb$3.4349076043(42) \times 10^{-32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}5^{4}$
lambert$1.0933650486(13) \times 10^{-32}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-4}2\cdot 5^{4}$
foot-lambert$1.1768883436(14) \times 10^{-35}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\text{ft}^{-2}\tau^{-4}2^{-3}$
bril$1.0933650486(13) \times 10^{-43}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-4}2^{-10}5^{-7}$
talbot$1.78828352208(55) \times 10^{10}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-1}$
lumerg$1788.28352208(55)$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-8}5^{-7}$

Sepcialized Units

NameQuantityProduct
hertz$1.28808866819(39) \times 10^{-21}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
actions per minute$2.14681444698(66) \times 10^{-23}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-3}3^{-1}5^{-1}$
revolutions per minute$1.34888329905(41) \times 10^{-22}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-3}3^{-1}5^{-1}$
kayser$3.8615926796(12) \times 10^{-11}$ $[\mathbb{1}]$$\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2\cdot 5^{2}$
diopter$3.8615926796(12) \times 10^{-13}$ $[\mathbb{1}]$$\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
rayleigh$1.15767636121(35) \times 10^{6}$ $[\mathbb{1}]$$\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{9}5^{10}$
flick$9.059719376(14) \times 10^{-36}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-5}\alpha^{10}\tau^{-4}2^{5}5^{10}$
g-force$4.2135265250(13) \times 10^{-29}$ $[\mathbb{1}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \tau^{-1}2^{-1}$
galileo$4.2966013114(13) \times 10^{-32}$ $[\mathbb{1}]$$\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-3}5^{-2}$
eotvos$1.6591724171(10) \times 10^{-51}$ $[\mathbb{1}]$$\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2^{-11}5^{-9}$
darcy$6.6183611583(41) \times 10^{12}$ $[\mathbb{1}]$$\text{R}_{\infty}^{2}\alpha^{-4}\text{atm}^{-1}\tau^{2}2^{-5}5^{-7}$
poise$5.4603845163(50) \times 10^{-5}$ $[\mathbb{1}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-4}5^{-1}$
reyn$3.7648025968(35)$ $[\mathbb{1}]$$\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-2}2\cdot 3^{2}$
stokes$0.86379927371(26)$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-3}5^{-4}$
rayl$2.1085780876(26) \times 10^{-16}$ $[\mathbb{1}]$$\hbar^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-4}$
mpg equivalent$2.8368673134(17) \times 10^{-6}$ $[\mathbb{1}]$$\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-4}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau\cdot 2^{-2}5^{-7}11\cdot 19^{-1}43$
langley$7.6256740434(70) \times 10^{-8}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-2}2^{3}3^{2}5^{5}43^{-1}$
jansky$1.8213882206(17) \times 10^{-38}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-29}5^{-26}$
solar flux$1.8213882206(17) \times 10^{-34}$ $[\mathbb{1}]$$\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-25}5^{-22}$
curie$4.7659280723(15) \times 10^{-11}$ $[\mathbb{1}]$$\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{8}5^{9}37$
gray$1.1126500560536183 \times 10^{-17}$ $[\mathbb{1}]$$\text{c}^{-2}$
roentgen$1.25297394098(38) \times 10^{-16}$ $[\text{e}_\text{n}]$$\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}\cdot \alpha^{-2}\tau^{1/2}2^{5/2}5^{3/2}/1.293$

Charge Units

NameQuantityProduct
coulomb$5.3317806099370496 \times 10^{17}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-7/2}5^{-7/2}$
Earth coulomb$5.347233206(11) \times 10^{17}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-43/2}5^{-35/2}$
abcoulomb$5.331780609937051 \times 10^{18}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$
statcoulomb$1.778490574948703 \times 10^{8}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$

Current Units

NameQuantityProduct
ampere$0.00068678061849(21)$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{-9/2}5^{-7/2}$
abampere$0.0068678061849(21)$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{-7/2}5^{-5/2}$
statampere$2.29085355607(70) \times 10^{-13}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{-11/2}5^{-9/2}$

Electromotive Units

NameQuantityProduct
volt$2.29085355607(70) \times 10^{-5}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{5/2}5^{7/2}$
abvolt$2.29085355607(70) \times 10^{-13}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{-11/2}5^{-9/2}$
statvolt$0.0068678061849(21)$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1/2}2^{-7/2}5^{-5/2}$

Inductance Units

NameQuantityProduct
henry$2.58960507484(79) \times 10^{19}$ $[\text{e}_\text{n}^{-2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{8}5^{7}$
abhenry$2.58960507484(79) \times 10^{10}$ $[\text{e}_\text{n}^{-2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-1}5^{-2}$
stathenry$2.32742097189(71) \times 10^{31}$ $[\text{e}_\text{n}^{-2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{3}5^{2}$

Resistance Units

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

Conductance Units

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

Capacitance Units

NameQuantityProduct
farad$2.32742097189(71) \times 10^{22}$ $[\text{e}_\text{n}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-6}5^{-7}$
abfarad$2.32742097189(71) \times 10^{31}$ $[\text{e}_\text{n}^{2}]$$\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{3}5^{2}$
statfarad$2.58960507484(79) \times 10^{10}$ $[\text{e}_\text{n}^{2}]$$\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-1}5^{-2}$

Magnetic Flux Units

NameQuantityProduct
weber$1.778490574948703 \times 10^{16}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{7/2}5^{7/2}$
maxwell$1.778490574948703 \times 10^{8}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$
statfarad$5.331780609937051 \times 10^{18}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$

Magnetic Flux Density Units

NameQuantityProduct
tesla$2.6520670089(16) \times 10^{-9}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-3/2}2^{3/2}5^{7/2}$
gauss$2.6520670089(16) \times 10^{-13}$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-3/2}2^{-5/2}5^{-1/2}$
stattesla$0.0079506968736(49)$ $[\text{e}_\text{n}^{-1}]$$\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-3/2}2^{-1/2}5^{3/2}$

Magnetic Specialized Units

NameQuantityProduct
oersted$2.1104478693(13) \times 10^{-14}$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-5/2}2^{-7/2}5^{-1/2}$
gilbert$0.00054652265126(17)$ $[\text{e}_\text{n}]$$\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-3/2}2^{-9/2}5^{-5/2}$

Equivalent dimensional quantities

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