PlanckGauss

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

data derived with UnitSystems.jl DOI

Constants Units

Name PlanckGauss Product
hyperfine transition $4.955975(55) \times 10^{-34}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\Delta\nu_\text{Cs}\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
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 $4.185463(46) \times 10^{-23}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\text{m}_\text{P}^{-1}2$
molar mass $1.0$ $\left[\mathbb{1}\right]$ $1$
Boltzmann $1.0$ $\left[\mathbb{1}\right]$ $1$
vacuum permeability $12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$
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 $7.629632(84) \times 10^{-20}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2$
proton mass $7.685149(85) \times 10^{-20}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{m}_\text{P}^{-1}2$
Planck mass $1.0$ $\left[\text{m}_\text{P}\right]$ $1$
Newton gravitation $1.0$ $\left[\text{m}_\text{P}^{-2}\right]$ $1$
Gauss gravitation $1.073389(12) \times 10^{-50}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{k}_\text{G}\cdot \text{m}_\text{P}^{-1}2^{-14}3^{-7}5^{-5}$
Einstein gravitation $25.132741228718345$ $\left[\text{m}_\text{P}^{-2}\right]$ $\tau\cdot 2^{2}$
Hartree $2.228816(25) \times 10^{-27}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \text{m}_\text{P}^{-1}2$
Rydberg $1.773635(20) \times 10^{-28}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
Bohr radius $3.274094(36) \times 10^{24}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha\cdot \text{m}_\text{P}\cdot 2^{-1}$
electron radius $1.743500(19) \times 10^{20}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{3}\text{m}_\text{P}\cdot 2^{-1}$
Avogadro $1.310679(14) \times 10^{19}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
Molar gas $1.310679(14) \times 10^{19}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
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 $0.07957747154594767$ $\left[\text{e}_\text{n}^{2}\right]$ $\tau^{-1}2^{-1}$
electrostatic $1.0$ $\left[\text{e}_\text{n}^{-2}\right]$ $1$
magnetostatic $1.0$ $\left[\text{e}_\text{n}^{-2}\right]$ $1$
Biot-Savart $1.0$ $\left[\text{e}_\text{n}^{-2}\right]$ $1$
elementary charge $0.0854245431318(65)$ $\left[\text{e}_\text{n}\right]$ $\alpha^{1/2}$
Faraday $1.119642(12) \times 10^{18}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$
vacuum impedance $12.566370614359172$ $\left[\text{e}_\text{n}^{-2}\right]$ $\tau\cdot 2$
conductance quantum $0.00232281946577(36)$ $\left[\text{e}_\text{n}^{2}\right]$ $\alpha\cdot \tau^{-1}2$
Klitzing $861.02257600(13)$ $\left[\text{e}_\text{n}^{-2}\right]$ $\alpha^{-1}\tau$
Josephson $0.0271914766016(21)$ $\left[\text{e}_\text{n}\right]$ $\alpha^{1/2}\tau^{-1}2$
magnetic flux quantum $36.7762300905(28)$ $\left[\text{e}_\text{n}^{-1}\right]$ $\alpha^{-1/2}\tau\cdot 2^{-1}$
magneton $1.020491(11) \times 10^{21}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}\right]$ $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$
Loschmidt $1.134389(38) \times 10^{-79}$ $\left[\text{m}_\text{P}^{3}\right]$ $\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-3}\tau^{-3}$
mechanical heat $6.599909(73) \times 10^{18}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}\cdot 2\cdot 3^{2}5\cdot 43^{-1}$
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 $1.1737(87) \times 10^{60}$ $\left[\text{m}_\text{P}\right]$ $\hbar^{-1}\text{c}^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{9}3^{7/2}5^{6}$
solar mass $9.13609(10) \times 10^{37}$ $\left[\text{m}_\text{P}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot \tau^{3}2^{-28}3^{-14}5^{-10}$
Jupiter mass $8.721257(96) \times 10^{34}$ $\left[\text{m}_\text{P}\right]$ $\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot \text{GM}_\text{J}\cdot \tau$
Earth mass $2.744015(30) \times 10^{32}$ $\left[\text{m}_\text{P}\right]$ $\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot \text{GM}_\text{E}\cdot \tau$
g-force $1.763556(19) \times 10^{-51}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
Earth radius $3.944560(43) \times 10^{41}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau$
great circle $2.478440(27) \times 10^{42}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}$
nautical mile $1.147426(13) \times 10^{38}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$
Hubble $1.1821(73) \times 10^{-61}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{H}_0\cdot \text{au}^{-1}\text{m}_\text{P}^{-1}2^{-10}3^{-4}5^{-6}$
cosmological $2.888(43) \times 10^{-122}$ $\left[\text{m}_\text{P}^{2}\right]$ $\hbar^{2}\text{c}^{-4}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-2}2^{-20}3^{-7}5^{-12}$

Angle Units

Name PlanckGauss 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 PlanckGauss 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 PlanckGauss Product
second $1.854858(20) \times 10^{43}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau$
minute $1.112915(12) \times 10^{45}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}3\cdot 5$
hour $6.677490(74) \times 10^{46}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{2}5^{2}$
day $1.602598(18) \times 10^{48}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$
year $5.853488(65) \times 10^{50}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$

Length Units

Name PlanckGauss Product
angstrom $6.187141(68) \times 10^{24}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-10}5^{-10}$
inch $1.571534(17) \times 10^{33}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-2}3^{-1}$
foot $1.885841(21) \times 10^{34}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau$
survey foot $1.885844(21) \times 10^{34}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau$
yard $5.657522(62) \times 10^{34}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 3$
meter $6.187141(68) \times 10^{34}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau$
Earth meter $6.196101(68) \times 10^{34}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-9}5^{-7}$
mile $9.95724(11) \times 10^{37}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$
statute mile $9.95726(11) \times 10^{37}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$
meridian mile $1.145767(13) \times 10^{38}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{-3}5^{5}$
admiralty mile $1.146591(13) \times 10^{38}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{6}5\cdot 19$
nautical mile $1.147426(13) \times 10^{38}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$
lunar distance $2.378331(26) \times 10^{43}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{3}3^{3}5^{3}14237$
astronomical unit $9.25583(10) \times 10^{45}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{au}\cdot \text{m}_\text{P}\cdot \tau$
Jupiter distance $4.816560(53) \times 10^{46}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{6}3\cdot 5^{6}259493$
light-year $5.853488(65) \times 10^{50}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}^{2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$
parsec $1.909152(21) \times 10^{51}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{c}\cdot \text{au}\cdot \text{m}_\text{P}\cdot 2^{7}3^{4}5^{3}$

Speed Units

Name PlanckGauss 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 PlanckGauss Product
barn $3.828072(84) \times 10^{41}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-2}\text{c}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{-28}5^{-28}$
hectare $3.828072(84) \times 10^{73}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-2}\text{c}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{4}5^{4}$
acre $1.549166(34) \times 10^{73}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-2}\text{c}^{2}\text{ft}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$
survey acre $1.549172(34) \times 10^{73}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-2}\text{c}^{2}\text{ft}_\text{US}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$

Volume Units

Name PlanckGauss Product
liter $2.368482(78) \times 10^{101}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-3}5^{-3}$
gallon $8.96568(30) \times 10^{101}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$
quart $2.241420(74) \times 10^{101}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-8}3^{-2}7\cdot 11$
pint $1.120710(37) \times 10^{101}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-9}3^{-2}7\cdot 11$
cup $5.60355(19) \times 10^{100}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$
fluid ounce $7.00444(23) \times 10^{99}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-13}3^{-2}7\cdot 11$
teaspoon $1.184241(39) \times 10^{99}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-6}5^{-5}$
tablespoon $3.55272(12) \times 10^{99}$ $\left[\text{m}_\text{P}^{-3}\right]$ $\hbar^{-3}\text{c}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3\cdot 5^{-5}$

Mass Units

Name PlanckGauss Product
gram $45946.72(51)$ $\left[\text{m}_\text{P}\right]$ $\text{m}_\text{P}^{-1}2^{-3}5^{-3}$
Earth gram $46146.61(51)$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$
kilogram $4.594672(51) \times 10^{7}$ $\left[\text{m}_\text{P}\right]$ $\text{m}_\text{P}^{-1}$
tonne $4.594672(51) \times 10^{10}$ $\left[\text{m}_\text{P}\right]$ $\text{m}_\text{P}^{-1}2^{3}5^{3}$
ton $4.168216(46) \times 10^{10}$ $\left[\text{m}_\text{P}\right]$ $\text{lb}\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$
pound (mass) $2.084108(23) \times 10^{7}$ $\left[\text{m}_\text{P}\right]$ $\text{lb}\cdot \text{m}_\text{P}^{-1}$
ounce $1.302568(14) \times 10^{6}$ $\left[\text{m}_\text{P}\right]$ $\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-4}$
grain $2977.297(33)$ $\left[\text{m}_\text{P}\right]$ $\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-3}5^{-3}7^{-1}$
slug $6.705419(74) \times 10^{8}$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$
slinch $8.046503(89) \times 10^{9}$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$
hyl $4.505834(50) \times 10^{8}$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0\cdot \text{m}_\text{P}^{-1}$

Force Units

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

Pressure Units

Name PlanckGauss Product
pounds per square inch $1.488202(66) \times 10^{-110}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}3^{2}$
pascal $2.158455(95) \times 10^{-114}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-3}$
barye $2.158455(95) \times 10^{-115}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-3}2^{-1}5^{-1}$
bar $2.158455(95) \times 10^{-109}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{m}_\text{P}^{-4}\tau^{-3}2^{5}5^{5}$
technical atmosphere $2.116721(93) \times 10^{-109}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{g}_0\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
atmosphere $2.187054(96) \times 10^{-109}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}$
inch mercury $7.30937(32) \times 10^{-111}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{in}_\text{Hg}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}$
torr $2.87770(13) \times 10^{-112}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-5}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{-3}5^{-1}19^{-1}$

Energy Units

Name PlanckGauss Product
erg $5.112262(56) \times 10^{-17}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$
joule $5.112262(56) \times 10^{-10}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{m}_\text{P}^{-1}$
foot-pound $6.931296(76) \times 10^{-10}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-1}$
calorie $2.140370(24) \times 10^{-9}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}$
kilocalorie $2.140370(24) \times 10^{-6}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}3^{2}5^{4}43^{-1}$
mean calorie $2.140423(24) \times 10^{-9}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}1.0001900224889804$
Earth calorie $2.149681(24) \times 10^{-9}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}3^{2}5^{-20}43^{-1}$
thermal unit $5.393641(59) \times 10^{-7}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}5^{5}43^{-1}$
gas gallon $0.06148751(68)$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{9}3\cdot 5^{8}19\cdot 43^{-1}$
ton TNT $2.140370(24)$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{11}3^{2}5^{10}43^{-1}$
electronvolt $8.190747(90) \times 10^{-29}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{e}\cdot \text{m}_\text{P}^{-1}$

Power Units

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

Thermodynamic Units

Name PlanckGauss Product
Kelvin $7.058239(78) \times 10^{-33}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}$
Rankine $3.921244(43) \times 10^{-33}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}$
Celsius $1.927958(21) \times 10^{-30}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$
Fahrenheit $1.802478(20) \times 10^{-30}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}459.67$
sea level $2.033832(22) \times 10^{-30}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}288.15$
boiling $2.633668(29) \times 10^{-30}$ $\left[\text{m}_\text{P}\right]$ $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}373.1339$
mole $45946.72(51)$ $\left[\text{m}_\text{P}\right]$ $\text{m}_\text{P}^{-1}2^{-3}5^{-3}$
Earth-mole $46146.61(51)$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$
pound-mole $2.084108(23) \times 10^{7}$ $\left[\text{m}_\text{P}\right]$ $\text{lb}\cdot \text{m}_\text{P}^{-1}$
slug-mole $6.705419(74) \times 10^{8}$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$
slinch-mole $8.046503(89) \times 10^{9}$ $\left[\text{m}_\text{P}\right]$ $\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$
katal $2.477101(55) \times 10^{-39}$ $\left[\text{m}_\text{P}^{2}\right]$ $\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-2}\tau^{-1}2^{-3}5^{-3}$
amagat $8.65497(38) \times 10^{-99}$ $\left[\text{m}_\text{P}^{4}\right]$ $\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2$

Photometric Units

Name PlanckGauss Product
lumen $4.035238(89) \times 10^{-56}$ $\left[\text{m}_\text{P}^{2}\right]$ $\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$
candela $4.035238(89) \times 10^{-56}$ $\left[\text{m}_\text{P}^{2}\right]$ $\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$
lux $1.054118(46) \times 10^{-125}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}$
phot $1.054118(46) \times 10^{-121}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
foot-candle $1.134643(50) \times 10^{-124}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-3}$
nit $1.054118(46) \times 10^{-125}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}$
apostilb $3.35536(15) \times 10^{-126}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-4}2$
stilb $1.054118(46) \times 10^{-121}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$
lambert $3.35536(15) \times 10^{-122}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-4}2^{5}5^{4}$
foot-lambert $3.61168(16) \times 10^{-125}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-4}2$
bril $3.35536(15) \times 10^{-133}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-4}2^{-6}5^{-7}$
talbot $7.484794(83) \times 10^{-13}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}$
lumerg $7.484794(83) \times 10^{-20}$ $\left[\text{m}_\text{P}\right]$ $\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$

Specialized Units

Name PlanckGauss Product
hertz $5.391247(59) \times 10^{-44}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1}$
actions per minute $8.985412(99) \times 10^{-46}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}3^{-1}5^{-1}$
revolutions per minute $5.645701(62) \times 10^{-45}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}2^{-2}3^{-1}5^{-1}$
kayser $1.616255(18) \times 10^{-33}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1}2^{2}5^{2}$
diopter $1.616255(18) \times 10^{-35}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1}$
rayleigh $4.845411(53) \times 10^{-17}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{m}_\text{P}^{-1}\tau^{-1}2^{10}5^{10}$
flick $1.163676(64) \times 10^{-147}$ $\left[\text{m}_\text{P}^{5}\right]$ $\hbar^{4}\text{c}^{-7}\text{m}_\text{P}^{-5}\tau^{-4}2^{10}5^{10}$
g-force $1.763556(19) \times 10^{-51}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-3}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$
galileo $1.798327(20) \times 10^{-54}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-3}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}5^{-2}$
eotvos $2.906555(64) \times 10^{-96}$ $\left[\text{m}_\text{P}^{2}\right]$ $\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-2}\tau^{-2}2^{-9}5^{-9}$
darcy $3.778013(83) \times 10^{57}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-2}\text{c}^{2}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{-7}5^{-7}$
poise $4.00363(13) \times 10^{-72}$ $\left[\text{m}_\text{P}^{3}\right]$ $\hbar^{2}\text{c}^{-3}\text{m}_\text{P}^{-3}\tau^{-2}2^{-1}5^{-1}$
reyn $2.760404(91) \times 10^{-67}$ $\left[\text{m}_\text{P}^{3}\right]$ $\hbar^{2}\text{c}^{-3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-3}\tau^{-2}2^{4}3^{2}$
stokes $2.063808(23) \times 10^{22}$ $\left[\text{m}_\text{P}^{-1}\right]$ $\hbar^{-1}\text{m}_\text{P}\cdot \tau\cdot 2^{-4}5^{-4}$
rayl $6.47088(29) \times 10^{-106}$ $\left[\text{m}_\text{P}^{4}\right]$ $\hbar^{3}\text{c}^{-4}\text{m}_\text{P}^{-4}\tau^{-3}$
mpg equivalent $1.619392(36) \times 10^{39}$ $\left[\text{m}_\text{P}^{-2}\right]$ $\hbar^{-1}\text{c}^{3}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\text{m}_\text{P}^{2}\tau\cdot 2^{-4}5^{-7}11\cdot 19^{-1}43$
langley $5.59125(18) \times 10^{-75}$ $\left[\text{m}_\text{P}^{3}\right]$ $\hbar^{2}\text{c}^{-4}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-2}2^{6}3^{2}5^{5}43^{-1}$
jansky $1.335467(44) \times 10^{-105}$ $\left[\text{m}_\text{P}^{3}\right]$ $\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-2}2^{-26}5^{-26}$
solar flux $1.335467(44) \times 10^{-101}$ $\left[\text{m}_\text{P}^{3}\right]$ $\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-2}2^{-22}5^{-22}$
curie $1.994761(22) \times 10^{-33}$ $\left[\text{m}_\text{P}\right]$ $\hbar\cdot \text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1}2^{9}5^{9}37$
gray $1.1126500560536183 \times 10^{-17}$ $\left[\mathbb{1}\right]$ $\text{c}^{-2}$
roentgen $2.993633(33) \times 10^{6}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\text{m}_\text{P}\cdot \tau^{1/2}2^{3/2}5^{3/2}/1.293$

Charge Units

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

Current Units

Name PlanckGauss Product
ampere $2.874495(32) \times 10^{-26}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}\right]$ $\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-7/2}5^{-7/2}$
abampere $2.874495(32) \times 10^{-25}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}\right]$ $\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$
statampere $9.58828(11) \times 10^{-36}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}\right]$ $\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$

Electromotive Units

Name PlanckGauss Product
volt $9.58828(11) \times 10^{-28}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}^{-1}\right]$ $\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{7/2}5^{7/2}$
abvolt $9.58828(11) \times 10^{-36}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}^{-1}\right]$ $\hbar^{1/2}\text{c}^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$
statvolt $2.874495(32) \times 10^{-25}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}^{-1}\right]$ $\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$

Inductance Units

Name PlanckGauss Product
henry $6.187141(68) \times 10^{41}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{-2}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}5^{7}$
abhenry $6.187141(68) \times 10^{32}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{-2}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$
stathenry $5.560725(61) \times 10^{53}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{-2}\right]$ $\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$

Resistance Units

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

Conductance Units

Name PlanckGauss Product
siemens $29.979245799999998$ $\left[\text{e}_\text{n}^{2}\right]$ $\text{c}\cdot 2^{-7}5^{-7}$
abmho $2.99792458 \times 10^{10}$ $\left[\text{e}_\text{n}^{2}\right]$ $\text{c}\cdot 2^{2}5^{2}$
statmho $3.335640951981521 \times 10^{-11}$ $\left[\text{e}_\text{n}^{2}\right]$ $\text{c}^{-1}2^{-2}5^{-2}$

Capacitance Units

Name PlanckGauss Product
farad $5.560725(61) \times 10^{44}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{2}\right]$ $\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau\cdot 2^{-7}5^{-7}$
abfarad $5.560725(61) \times 10^{53}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{2}\right]$ $\hbar^{-1}\text{c}^{3}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$
statfarad $6.187141(68) \times 10^{32}$ $\left[\text{m}_\text{P}^{-1}\text{e}_\text{n}^{2}\right]$ $\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$

MagneticFlux Units

Name PlanckGauss Product
weber $1.778490574948703 \times 10^{16}$ $\left[\text{e}_\text{n}^{-1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{7/2}5^{7/2}$
maxwell $1.778490574948703 \times 10^{8}$ $\left[\text{e}_\text{n}^{-1}\right]$ $\hbar^{-1/2}\text{c}^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$
statweber $5.331780609937051 \times 10^{18}$ $\left[\text{e}_\text{n}^{-1}\right]$ $\hbar^{-1/2}\text{c}^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$

MagneticFluxDensity Units

Name PlanckGauss Product
tesla $4.64592(10) \times 10^{-54}$ $\left[\text{m}_\text{P}^{2}\text{e}_\text{n}^{-1}\right]$ $\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{7/2}5^{7/2}$
gauss $4.64592(10) \times 10^{-58}$ $\left[\text{m}_\text{P}^{2}\text{e}_\text{n}^{-1}\right]$ $\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{-1/2}5^{-1/2}$
stattesla $1.392811(31) \times 10^{-47}$ $\left[\text{m}_\text{P}^{2}\text{e}_\text{n}^{-1}\right]$ $\hbar^{3/2}\text{c}^{-3/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{3/2}5^{3/2}$

MagneticSpecialized Units

Name PlanckGauss Product
oersted $3.697104(82) \times 10^{-59}$ $\left[\text{m}_\text{P}^{2}\text{e}_\text{n}\right]$ $\hbar^{3/2}\text{c}^{-5/2}\text{m}_\text{P}^{-2}\tau^{-5/2}2^{-3/2}5^{-1/2}$
gilbert $2.287450(25) \times 10^{-26}$ $\left[\text{m}_\text{P}\cdot \text{e}_\text{n}\right]$ $\hbar^{1/2}\text{c}^{-3/2}\text{m}_\text{P}^{-1}\tau^{-3/2}2^{-7/2}5^{-5/2}$

Equivalent dimensional quantities

PlanckGauss Equivalent Dimensions
$\mathbb{1}$ dimensionless $\left[\mathbb{1}\right]$, angle $\left[A\right]$, solidangle $\left[A^{2}\right]$, stagnance $\left[L^{-1}T\right]$, speed $\left[LT^{-1}\right]$, gravityforce $\left[F^{-1}MLT^{-2}\right]$, angularmomentum $\left[FLTA^{-1}\right]$, specificenergy $\left[FM^{-1}L\right]$, action $\left[FLT\right]$, susceptibility $\left[R^{-1}\right]$, demagnetizingfactor $\left[R\right]$, entropy $\left[FLΘ^{-1}\right]$, molarmass $\left[MN^{-1}\right]$, molality $\left[M^{-1}N\right]$, molarenergy $\left[FLN^{-1}\right]$, luminousefficacy $\left[F^{-1}L^{-1}TJ\right]$
$\text{m}_\text{P}^{-1}$ time $\left[T\right]$, angulartime $\left[TA^{-1}\right]$, length $\left[L\right]$, angularlength $\left[LA^{-1}\right]$, diffusivity $\left[L^{2}T^{-1}\right]$, rotationalinertia $\left[ML^{2}\right]$, specificentropy $\left[FM^{-1}LΘ^{-1}\right]$, thermalresistance $\left[F^{-1}L^{-1}TΘ\right]$, thermalexpansion $\left[Θ^{-1}\right]$, molarentropy $\left[FLΘ^{-1}N^{-1}\right]$
$\text{m}_\text{P}^{-2}$ area $\left[L^{2}\right]$, angulararea $\left[L^{2}A^{-2}\right]$, volumeflow $\left[L^{3}T^{-1}\right]$, etendue $\left[L^{2}A^{2}\right]$, thermalresistivity $\left[F^{-1}TΘ\right]$
$\text{m}_\text{P}^{-3}$ volume $\left[L^{3}\right]$, compliance $\left[M^{-1}T^{2}\right]$, magneticpolarizability $\left[L^{3}A^{-1}R^{-1}\right]$, specificity $\left[L^{3}T^{-1}N^{-1}\right]$
$\text{m}_\text{P}$ wavenumber $\left[L^{-1}\right]$, angularwavenumber $\left[L^{-1}A\right]$, frequency $\left[T^{-1}\right]$, angularfrequency $\left[T^{-1}A\right]$, acceleration $\left[LT^{-2}\right]$, 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 $\left[M\right]$, specificforce $\left[FM^{-1}\right]$, impulse $\left[FT\right]$, momentum $\left[MLT^{-1}\right]$, energy $\left[FL\right]$, temperature $\left[Θ\right]$, thermalconductance $\left[FLT^{-1}Θ^{-1}\right]$, molaramount $\left[N\right]$, luminousenergy $\left[TJ\right]$
$\text{m}_\text{P}^{2}$ fuelefficiency $\left[L^{-2}\right]$, frequencydrift $\left[T^{-2}\right]$, jerk $\left[LT^{-3}\right]$, massflow $\left[MT^{-1}\right]$, lineardensity $\left[ML^{-1}\right]$, force $\left[F\right]$, power $\left[FLT^{-1}\right]$, radiantintensity $\left[FLT^{-1}A^{-2}\right]$, spectralexposure $\left[FL^{-1}T\right]$, thermalconductivity $\left[FT^{-1}Θ^{-1}\right]$, lapserate $\left[L^{-1}Θ\right]$, catalysis $\left[T^{-1}N\right]$, diffusionflux $\left[L^{-2}TN\right]$, luminousflux $\left[J\right]$, luminousintensity $\left[JA^{-2}\right]$
$\text{m}_\text{P}^{3}$ numberdensity $\left[L^{-3}\right]$, snap $\left[LT^{-4}\right]$, areadensity $\left[ML^{-2}\right]$, viscosity $\left[FL^{-2}T\right]$, yank $\left[MLT^{-3}\right]$, fluence $\left[FL^{-1}\right]$, spectralflux $\left[FT^{-1}\right]$, volumeheatcapacity $\left[FL^{-2}Θ^{-1}\right]$, luminousexposure $\left[L^{-2}TJ\right]$
$\text{m}_\text{P}^{4}$ crackle $\left[LT^{-5}\right]$, density $\left[ML^{-3}\right]$, pressure $\left[FL^{-2}\right]$, irradiance $\left[FL^{-1}T^{-1}\right]$, radiance $\left[FL^{-1}T^{-1}A^{-2}\right]$, specificimpedance $\left[FL^{-3}T\right]$, molarity $\left[L^{-3}N\right]$, luminance $\left[L^{-2}JA^{-2}\right]$, illuminance $\left[L^{-2}J\right]$
$\text{m}_\text{P}^{5}$ pop $\left[LT^{-6}\right]$, specificweight $\left[FL^{-3}\right]$, powerdensity $\left[FL^{-2}T^{-1}\right]$, inertance $\left[ML^{-4}\right]$
$\text{m}_\text{P}^{-4}$ specificvolume $\left[M^{-1}L^{3}\right]$, compressibility $\left[F^{-1}L^{2}\right]$, specificsusceptibility $\left[M^{-1}L^{3}A^{-1}R^{-1}\right]$, molarvolume $\left[L^{3}N^{-1}\right]$, molarsusceptibility $\left[L^{3}N^{-1}A^{-1}R^{-1}\right]$
$\text{m}_\text{P}^{7}$ soundexposure $\left[F^{2}L^{-4}T\right]$
$\text{m}_\text{P}^{6}$ impedance $\left[FL^{-5}T\right]$
$\text{m}_\text{P}^{-6}$ admittance $\left[F^{-1}L^{5}T^{-1}\right]$
$\text{e}_\text{n}$ charge $\left[Q\right]$, polestrength $\left[LT^{-1}QA^{-1}C^{-1}\right]$
$\text{m}_\text{P}^{3}\text{e}_\text{n}$ chargedensity $\left[L^{-3}Q\right]$, currentdensity $\left[L^{-2}T^{-1}Q\right]$
$\text{m}_\text{P}\cdot \text{e}_\text{n}$ linearchargedensity $\left[L^{-1}Q\right]$, current $\left[T^{-1}Q\right]$, magneticpotential $\left[T^{-1}QRC^{-1}\right]$
$\text{m}_\text{P}^{-1}\text{e}_\text{n}$ exposure $\left[M^{-1}Q\right]$, electricdipolemoment $\left[LQ\right]$, magneticdipolemoment $\left[L^{2}T^{-1}QA^{-1}C^{-1}\right]$
$\text{e}_\text{n}^{-1}$ mobility $\left[FL^{3}T^{-1}Q^{-1}\right]$, electricflux $\left[FL^{2}Q^{-1}\right]$, magneticflux $\left[FLTQ^{-1}C\right]$
$\text{e}_\text{n}^{-2}$ resistance $\left[FLTQ^{-2}\right]$, permeability $\left[FT^{2}Q^{-2}R^{-1}C^{2}\right]$
$\text{e}_\text{n}^{2}$ conductance $\left[F^{-1}L^{-1}T^{-1}Q^{2}\right]$, permittivity $\left[F^{-1}L^{-2}Q^{2}R\right]$
$\text{m}_\text{P}^{-1}\text{e}_\text{n}^{-2}$ resistivity $\left[FL^{2}TQ^{-2}\right]$, inductance $\left[FLT^{2}Q^{-2}\right]$, permeance $\left[FLT^{2}Q^{-2}R^{-1}C^{2}\right]$
$\text{m}_\text{P}\cdot \text{e}_\text{n}^{2}$ conductivity $\left[F^{-1}L^{-2}T^{-1}Q^{2}\right]$, reluctance $\left[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}\right]$
$\text{m}_\text{P}^{-1}\text{e}_\text{n}^{2}$ capacitance $\left[F^{-1}L^{-1}Q^{2}\right]$
$\text{m}_\text{P}\cdot \text{e}_\text{n}^{-1}$ vectorpotential $\left[FTQ^{-1}C\right]$, electricpotential $\left[FLQ^{-1}\right]$
$\text{m}_\text{P}^{2}\text{e}_\text{n}^{-1}$ electricfield $\left[FQ^{-1}\right]$, magneticfluxdensity $\left[FL^{-1}TQ^{-1}C\right]$
$\text{m}_\text{P}^{2}\text{e}_\text{n}$ magneticfield $\left[L^{-1}T^{-1}QRC^{-1}\right]$, electricdisplacement $\left[L^{-2}QR\right]$, specificmagnetization $\left[F^{-1}ML^{-2}T^{-1}QC^{-1}\right]$
$\text{m}_\text{P}^{-3}\text{e}_\text{n}^{2}$ electricpolarizability $\left[F^{-1}LQ^{2}\right]$
$\text{m}_\text{P}^{-1}\text{e}_\text{n}^{-1}$ magneticmoment $\left[FL^{2}TQ^{-1}C\right]$
$\text{m}_\text{P}^{-2}\text{e}_\text{n}^{2}$ molarconductivity $\left[F^{-1}T^{-1}Q^{2}N^{-1}\right]$