Natural

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

data derived with UnitSystems.jl DOI

Constants Units

Name Natural Product
hyperfine transition $1.18409248138(36) \times 10^{-11}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\Delta\nu_\text{Cs}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
light speed $1.0$ $\left[\mathbb{1}\right]$ $1$
Planck $6.283185307179586$ $\left[\mathbb{1}\right]$ $\tau$
Planck reduced $1.0$ $\left[\mathbb{1}\right]$ $1$
electron mass $1.0$ $\left[\mathbb{1}\right]$ $1$
molar mass $1.0$ $\left[\mathbb{1}\right]$ $1$
Boltzmann $1.0$ $\left[\mathbb{1}\right]$ $1$
vacuum permeability $1.0$ $\left[\mathbb{1}\right]$ $1$
rationalization $1.0$ $\left[\mathbb{1}\right]$ $1$
Lorentz $1.0$ $\left[\mathbb{1}\right]$ $1$
luminous efficacy $1.0$ $\left[\mathbb{1}\right]$ $1$
gravity $1.0$ $\left[\mathbb{1}\right]$ $1$
radian $1.0$ $\left[\mathbb{1}\right]$ $1$
turn $6.283185307179586$ $\left[\mathbb{1}\right]$ $\tau$
spat $12.566370614359172$ $\left[\mathbb{1}\right]$ $\tau\cdot 2$
Dalton $1822.888486209(53)$ $\left[\mathbb{1}\right]$ $\mu_\text{eu}^{-1}$
proton mass $1836.15267343(11)$ $\left[\mathbb{1}\right]$ $\mu_\text{eu}^{-1}\mu_\text{pu}$
Planck mass $2.389222(26) \times 10^{22}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}\cdot 2^{-1}$
Newton gravitation $1.751810(39) \times 10^{-45}$ $\left[\mathbb{1}\right]$ $\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\text{m}_\text{P}^{-2}2^{2}$
Gauss gravitation $2.56456351221(79) \times 10^{-28}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{k}_\text{G}\cdot 2^{-15}3^{-7}5^{-5}$
Einstein gravitation $4.402779(97) \times 10^{-44}$ $\left[\mathbb{1}\right]$ $\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\text{m}_\text{P}^{-2}\tau\cdot 2^{4}$
Hartree $5.3251354520(16) \times 10^{-5}$ $\left[\mathbb{1}\right]$ $\alpha^{2}$
Rydberg $4.2376081491(13) \times 10^{-6}$ $\left[\mathbb{1}\right]$ $\alpha^{2}\tau^{-1}2^{-1}$
Bohr radius $137.035999084(21)$ $\left[\mathbb{1}\right]$ $\alpha^{-1}$
electron radius $0.0072973525693(11)$ $\left[\mathbb{1}\right]$ $\alpha$
Avogadro $0.000548579909065(16)$ $\left[\mathbb{1}\right]$ $\mu_\text{eu}$
Molar gas $0.000548579909065(16)$ $\left[\mathbb{1}\right]$ $\mu_\text{eu}$
Stefan-Boltzmann $0.16449340668482262$ $\left[\mathbb{1}\right]$ $\tau^{2}2^{-4}3^{-1}5^{-1}$
radiation density $0.6579736267392905$ $\left[\mathbb{1}\right]$ $\tau^{2}2^{-2}3^{-1}5^{-1}$
vacuum permittivity $1.0$ $\left[\mathbb{1}\right]$ $1$
electrostatic $0.07957747154594767$ $\left[\mathbb{1}\right]$ $\tau^{-1}2^{-1}$
magnetostatic $0.07957747154594767$ $\left[\mathbb{1}\right]$ $\tau^{-1}2^{-1}$
Biot-Savart $0.07957747154594767$ $\left[\mathbb{1}\right]$ $\tau^{-1}2^{-1}$
elementary charge $0.302822120872(23)$ $\left[\mathbb{1}\right]$ $\alpha^{1/2}\tau^{1/2}2^{1/2}$
Faraday $0.000166122131531(14)$ $\left[\mathbb{1}\right]$ $\alpha^{1/2}\mu_\text{eu}\cdot \tau^{1/2}2^{1/2}$
vacuum impedance $1.0$ $\left[\mathbb{1}\right]$ $1$
conductance quantum $0.0291894102771(45)$ $\left[\mathbb{1}\right]$ $\alpha\cdot 2^{2}$
Klitzing $68.517999542(10)$ $\left[\mathbb{1}\right]$ $\alpha^{-1}2^{-1}$
Josephson $0.0963912748286(74)$ $\left[\mathbb{1}\right]$ $\alpha^{1/2}\tau^{-1/2}2^{3/2}$
magnetic flux quantum $10.374382969600(79)$ $\left[\mathbb{1}\right]$ $\alpha^{-1/2}\tau^{1/2}2^{-3/2}$
magneton $0.151411060436(12)$ $\left[\mathbb{1}\right]$ $\alpha^{1/2}\tau^{1/2}2^{-1/2}$
Loschmidt $1.5471467610(14) \times 10^{-12}$ $\left[\mathbb{1}\right]$ $\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$
mechanical heat $0.0002762367317680(80)$ $\left[\mathbb{1}\right]$ $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\mu_\text{eu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$
Wien wavelength $1.2654664150541133$ $\left[\mathbb{1}\right]$ $\tau/4.965114231744276$
Wien frequency $0.44904602270732236$ $\left[\mathbb{1}\right]$ $\tau^{-1}2.8214393721220787$
Sackur-Tetrode $-1.1648705244(12)$ $\left[\mathbb{1}\right]$
Eddington $2.804(21) \times 10^{82}$ $\left[\mathbb{1}\right]$ $\hbar^{-2}\text{c}^{3}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{8}3^{7/2}5^{6}$
solar mass $2.182814(48) \times 10^{60}$ $\left[\mathbb{1}\right]$ $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-29}3^{-14}5^{-10}$
Jupiter mass $2.083702(46) \times 10^{57}$ $\left[\mathbb{1}\right]$ $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-1}$
Earth mass $6.55606(14) \times 10^{54}$ $\left[\mathbb{1}\right]$ $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-1}$
g-force $4.2135265250(13) \times 10^{-29}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \tau^{-1}2^{-1}$
Earth radius $1.6509810466(17) \times 10^{19}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2$
great circle $1.0373419854(11) \times 10^{20}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2$
nautical mile $4.8025091919(50) \times 10^{15}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$
Hubble $2.824(18) \times 10^{-39}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\text{H}_0\cdot \text{au}^{-1}2^{-11}3^{-4}5^{-6}$
cosmological $1.649(24) \times 10^{-77}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}2^{-22}3^{-7}5^{-12}$

Angle Units

Name Natural Product
turn $6.283185307179586$ $\left[\mathbb{1}\right]$ $\tau$
radian $1.0$ $\left[\mathbb{1}\right]$ $1$
spatian $3.5449077018110318$ $\left[\mathbb{1}\right]$ $\tau^{1/2}2^{1/2}$
gradian $0.015707963267948967$ $\left[\mathbb{1}\right]$ $\tau\cdot 2^{-4}5^{-2}$
degree $0.017453292519943295$ $\left[\mathbb{1}\right]$ $\tau\cdot 2^{-3}3^{-2}5^{-1}$
arc minute $0.00029088820866572163$ $\left[\mathbb{1}\right]$ $\tau\cdot 2^{-5}3^{-3}5^{-2}$
arc second $4.84813681109536 \times 10^{-6}$ $\left[\mathbb{1}\right]$ $\tau\cdot 2^{-7}3^{-4}5^{-3}$

SolidAngle Units

Name Natural Product
spat $12.566370614359172$ $\left[\mathbb{1}\right]$ $\tau\cdot 2$
steradian $1.0$ $\left[\mathbb{1}\right]$ $1$
square degree $0.0003046174197867087$ $\left[\mathbb{1}\right]$ $\tau^{2}2^{-6}3^{-4}5^{-2}$

Time Units

Name Natural Product
second $7.7634407063(24) \times 10^{20}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2$
minute $4.6580644238(14) \times 10^{22}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{3}3\cdot 5$
hour $2.79483865428(86) \times 10^{24}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{5}3^{2}5^{2}$
day $6.7076127703(21) \times 10^{25}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{8}3^{3}5^{2}$
year $2.44995556434(75) \times 10^{28}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-2}\text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$

Length Units

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

Speed Units

Name Natural Product
Bubnoff $1.0570008340246154 \times 10^{-16}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$
feet per minute $1.6945056036066124 \times 10^{-11}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$
inches per second $8.472528018033061 \times 10^{-11}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{ft}\cdot 2^{-2}3^{-1}$
kilometers per hour $9.265669311059779 \times 10^{-10}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}2^{-1}3^{-2}5$
feet per second $1.0167033621639674 \times 10^{-9}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{ft}$
miles per hour $1.4911649311738188 \times 10^{-9}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$
meters per second $3.3356409519815204 \times 10^{-9}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}$
miles per second $5.368193752225748 \times 10^{-6}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$

Area Units

Name Natural Product
barn $0.00067060544436(41)$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{2}\alpha^{-4}\tau^{2}2^{-26}5^{-28}$
hectare $6.7060544436(41) \times 10^{28}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{2}\alpha^{-4}\tau^{2}2^{6}5^{4}$
acre $2.7138439494(17) \times 10^{28}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{2}\alpha^{-4}\text{ft}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$
survey acre $2.7138548048(17) \times 10^{28}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{2}\alpha^{-4}\text{ft}_\text{US}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$

Volume Units

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

Mass Units

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

Force Units

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

Pressure Units

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

Energy Units

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

Power Units

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

Thermodynamic Units

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

Photometric Units

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

Specialized Units

Name Natural Product
hertz $1.28808866819(39) \times 10^{-21}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
actions per minute $2.14681444698(66) \times 10^{-23}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-3}3^{-1}5^{-1}$
revolutions per minute $1.34888329905(41) \times 10^{-22}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}2^{-3}3^{-1}5^{-1}$
kayser $3.8615926796(12) \times 10^{-11}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2\cdot 5^{2}$
diopter $3.8615926796(12) \times 10^{-13}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$
rayleigh $1.15767636121(35) \times 10^{6}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{9}5^{10}$
flick $9.059719376(14) \times 10^{-36}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-5}\alpha^{10}\tau^{-4}2^{5}5^{10}$
g-force $4.2135265250(13) \times 10^{-29}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \tau^{-1}2^{-1}$
galileo $4.2966013114(13) \times 10^{-32}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-3}5^{-2}$
eotvos $1.6591724171(10) \times 10^{-51}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2^{-11}5^{-9}$
darcy $6.6183611583(41) \times 10^{12}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}^{2}\alpha^{-4}\text{atm}^{-1}\tau^{2}2^{-5}5^{-7}$
poise $5.4603845163(50) \times 10^{-5}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-4}5^{-1}$
reyn $3.7648025968(35)$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-2}2\cdot 3^{2}$
stokes $0.86379927371(26)$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-3}5^{-4}$
rayl $2.1085780876(26) \times 10^{-16}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{R}_{\infty}^{-4}\alpha^{8}\tau^{-3}2^{-4}$
mpg equivalent $2.8368673134(17) \times 10^{-6}$ $\left[\mathbb{1}\right]$ $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-4}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau\cdot 2^{-2}5^{-7}11\cdot 19^{-1}43$
langley $7.6256740434(70) \times 10^{-8}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-2}2^{3}3^{2}5^{5}43^{-1}$
jansky $1.8213882206(17) \times 10^{-38}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-29}5^{-26}$
solar flux $1.8213882206(17) \times 10^{-34}$ $\left[\mathbb{1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{6}\tau^{-2}2^{-25}5^{-22}$
curie $4.7659280723(15) \times 10^{-11}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{8}5^{9}37$
gray $1.1126500560536183 \times 10^{-17}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}$
roentgen $4.4416769735(14) \times 10^{-16}$ $\left[\mathbb{1}\right]$ $\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{3}5^{3/2}/1.293$

Charge Units

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

Current Units

Name Natural Product
ampere $0.00243457390395(75)$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}2^{-4}5^{-7/2}$
abampere $0.0243457390395(75)$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}2^{-3}5^{-5/2}$
statampere $8.1208644146(25) \times 10^{-13}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}2^{-5}5^{-9/2}$

Electromotive Units

Name Natural Product
volt $6.4623785688(20) \times 10^{-6}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{2}5^{7/2}$
abvolt $6.4623785688(20) \times 10^{-14}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-6}5^{-9/2}$
statvolt $0.00193737235568(59)$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-4}5^{-5/2}$

Inductance Units

Name Natural Product
henry $2.06074224158(63) \times 10^{18}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}2^{7}5^{7}$
abhenry $2.06074224158(63) \times 10^{9}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}2^{-2}5^{-2}$
stathenry $1.85210276166(57) \times 10^{30}$ $\left[\mathbb{1}\right]$ $\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}2^{2}5^{2}$

Resistance Units

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

Conductance Units

Name Natural Product
siemens $376.7303134617706$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \tau\cdot 2^{-6}5^{-7}$
abmho $3.767303134617706 \times 10^{11}$ $\left[\mathbb{1}\right]$ $\text{c}\cdot \tau\cdot 2^{3}5^{2}$
statmho $4.1916900439033643 \times 10^{-10}$ $\left[\mathbb{1}\right]$ $\text{c}^{-1}\tau\cdot 2^{-1}5^{-2}$

Capacitance Units

Name Natural Product
farad $2.92472345084(90) \times 10^{23}$ $\left[\mathbb{1}\right]$ $\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\tau^{2}2^{-5}5^{-7}$
abfarad $2.92472345084(90) \times 10^{32}$ $\left[\mathbb{1}\right]$ $\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-2}\tau^{2}2^{4}5^{2}$
statfarad $3.25419371152(10) \times 10^{11}$ $\left[\mathbb{1}\right]$ $\text{R}_{\infty}\cdot \alpha^{-2}\tau^{2}5^{-2}$

MagneticFlux Units

Name Natural Product
weber $5.017029284119592 \times 10^{15}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}2^{3}5^{7/2}$
maxwell $5.017029284119592 \times 10^{7}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}2^{-5}5^{-9/2}$
statweber $1.5040675409441933 \times 10^{18}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{1/2}2^{-3}5^{-5/2}$

MagneticFluxDensity Units

Name Natural Product
tesla $7.4813429063(46) \times 10^{-10}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2\cdot 5^{7/2}$
gauss $7.4813429063(46) \times 10^{-14}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2^{-3}5^{-1/2}$
stattesla $0.0022428501790(14)$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2^{-1}5^{3/2}$

MagneticSpecialized Units

Name Natural Product
oersted $7.4813429063(46) \times 10^{-14}$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-2}2^{-3}5^{-1/2}$
gilbert $0.00193737235568(59)$ $\left[\mathbb{1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-4}5^{-5/2}$

Equivalent dimensional quantities

Natural Equivalent Dimensions
$\mathbb{1}$ dimensionless $\left[\mathbb{1}\right]$, angle $\left[A\right]$, solidangle $\left[A^{2}\right]$, time $\left[T\right]$, angulartime $\left[TA^{-1}\right]$, length $\left[L\right]$, angularlength $\left[LA^{-1}\right]$, area $\left[L^{2}\right]$, angulararea $\left[L^{2}A^{-2}\right]$, volume $\left[L^{3}\right]$, wavenumber $\left[L^{-1}\right]$, angularwavenumber $\left[L^{-1}A\right]$, fuelefficiency $\left[L^{-2}\right]$, numberdensity $\left[L^{-3}\right]$, frequency $\left[T^{-1}\right]$, angularfrequency $\left[T^{-1}A\right]$, frequencydrift $\left[T^{-2}\right]$, stagnance $\left[L^{-1}T\right]$, speed $\left[LT^{-1}\right]$, acceleration $\left[LT^{-2}\right]$, jerk $\left[LT^{-3}\right]$, snap $\left[LT^{-4}\right]$, crackle $\left[LT^{-5}\right]$, pop $\left[LT^{-6}\right]$, volumeflow $\left[L^{3}T^{-1}\right]$, etendue $\left[L^{2}A^{2}\right]$, photonintensity $\left[T^{-1}A^{-2}\right]$, photonirradiance $\left[L^{-2}T\right]$, photonradiance $\left[L^{-2}TA^{-2}\right]$, inertia $\left[FL^{-1}T^{2}\right]$, mass $\left[M\right]$, massflow $\left[MT^{-1}\right]$, lineardensity $\left[ML^{-1}\right]$, areadensity $\left[ML^{-2}\right]$, density $\left[ML^{-3}\right]$, specificweight $\left[FL^{-3}\right]$, specificvolume $\left[M^{-1}L^{3}\right]$, force $\left[F\right]$, specificforce $\left[FM^{-1}\right]$, gravityforce $\left[F^{-1}MLT^{-2}\right]$, pressure $\left[FL^{-2}\right]$, compressibility $\left[F^{-1}L^{2}\right]$, viscosity $\left[FL^{-2}T\right]$, diffusivity $\left[L^{2}T^{-1}\right]$, rotationalinertia $\left[ML^{2}\right]$, impulse $\left[FT\right]$, momentum $\left[MLT^{-1}\right]$, angularmomentum $\left[FLTA^{-1}\right]$, yank $\left[MLT^{-3}\right]$, energy $\left[FL\right]$, specificenergy $\left[FM^{-1}L\right]$, action $\left[FLT\right]$, fluence $\left[FL^{-1}\right]$, power $\left[FLT^{-1}\right]$, powerdensity $\left[FL^{-2}T^{-1}\right]$, irradiance $\left[FL^{-1}T^{-1}\right]$, radiance $\left[FL^{-1}T^{-1}A^{-2}\right]$, radiantintensity $\left[FLT^{-1}A^{-2}\right]$, spectralflux $\left[FT^{-1}\right]$, spectralexposure $\left[FL^{-1}T\right]$, soundexposure $\left[F^{2}L^{-4}T\right]$, impedance $\left[FL^{-5}T\right]$, specificimpedance $\left[FL^{-3}T\right]$, admittance $\left[F^{-1}L^{5}T^{-1}\right]$, compliance $\left[M^{-1}T^{2}\right]$, inertance $\left[ML^{-4}\right]$, charge $\left[Q\right]$, chargedensity $\left[L^{-3}Q\right]$, linearchargedensity $\left[L^{-1}Q\right]$, exposure $\left[M^{-1}Q\right]$, mobility $\left[FL^{3}T^{-1}Q^{-1}\right]$, current $\left[T^{-1}Q\right]$, currentdensity $\left[L^{-2}T^{-1}Q\right]$, resistance $\left[FLTQ^{-2}\right]$, conductance $\left[F^{-1}L^{-1}T^{-1}Q^{2}\right]$, resistivity $\left[FL^{2}TQ^{-2}\right]$, conductivity $\left[F^{-1}L^{-2}T^{-1}Q^{2}\right]$, capacitance $\left[F^{-1}L^{-1}Q^{2}\right]$, inductance $\left[FLT^{2}Q^{-2}\right]$, reluctance $\left[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}\right]$, permeance $\left[FLT^{2}Q^{-2}R^{-1}C^{2}\right]$, permittivity $\left[F^{-1}L^{-2}Q^{2}R\right]$, permeability $\left[FT^{2}Q^{-2}R^{-1}C^{2}\right]$, susceptibility $\left[R^{-1}\right]$, specificsusceptibility $\left[M^{-1}L^{3}A^{-1}R^{-1}\right]$, demagnetizingfactor $\left[R\right]$, vectorpotential $\left[FTQ^{-1}C\right]$, electricpotential $\left[FLQ^{-1}\right]$, magneticpotential $\left[T^{-1}QRC^{-1}\right]$, electricfield $\left[FQ^{-1}\right]$, magneticfield $\left[L^{-1}T^{-1}QRC^{-1}\right]$, electricflux $\left[FL^{2}Q^{-1}\right]$, magneticflux $\left[FLTQ^{-1}C\right]$, electricdisplacement $\left[L^{-2}QR\right]$, magneticfluxdensity $\left[FL^{-1}TQ^{-1}C\right]$, electricdipolemoment $\left[LQ\right]$, magneticdipolemoment $\left[L^{2}T^{-1}QA^{-1}C^{-1}\right]$, electricpolarizability $\left[F^{-1}LQ^{2}\right]$, magneticpolarizability $\left[L^{3}A^{-1}R^{-1}\right]$, magneticmoment $\left[FL^{2}TQ^{-1}C\right]$, specificmagnetization $\left[F^{-1}ML^{-2}T^{-1}QC^{-1}\right]$, polestrength $\left[LT^{-1}QA^{-1}C^{-1}\right]$, temperature $\left[Θ\right]$, entropy $\left[FLΘ^{-1}\right]$, specificentropy $\left[FM^{-1}LΘ^{-1}\right]$, volumeheatcapacity $\left[FL^{-2}Θ^{-1}\right]$, thermalconductivity $\left[FT^{-1}Θ^{-1}\right]$, thermalconductance $\left[FLT^{-1}Θ^{-1}\right]$, thermalresistivity $\left[F^{-1}TΘ\right]$, thermalresistance $\left[F^{-1}L^{-1}TΘ\right]$, thermalexpansion $\left[Θ^{-1}\right]$, lapserate $\left[L^{-1}Θ\right]$, molarmass $\left[MN^{-1}\right]$, molality $\left[M^{-1}N\right]$, molaramount $\left[N\right]$, molarity $\left[L^{-3}N\right]$, molarvolume $\left[L^{3}N^{-1}\right]$, molarentropy $\left[FLΘ^{-1}N^{-1}\right]$, molarenergy $\left[FLN^{-1}\right]$, molarconductivity $\left[F^{-1}T^{-1}Q^{2}N^{-1}\right]$, molarsusceptibility $\left[L^{3}N^{-1}A^{-1}R^{-1}\right]$, catalysis $\left[T^{-1}N\right]$, specificity $\left[L^{3}T^{-1}N^{-1}\right]$, diffusionflux $\left[L^{-2}TN\right]$, luminousflux $\left[J\right]$, luminousintensity $\left[JA^{-2}\right]$, luminance $\left[L^{-2}JA^{-2}\right]$, illuminance $\left[L^{-2}J\right]$, luminousenergy $\left[TJ\right]$, luminousexposure $\left[L^{-2}TJ\right]$, luminousefficacy $\left[F^{-1}L^{-1}TJ\right]$