Conventional
$ \text{F}=MLT^{-2}, \text{M}, \text{L}, \text{T}, \text{Q}, \Theta, \text{N}, \text{J}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1}, \text{C}=\mathbb{1} $
data derived with UnitSystems.jl
Constants Units
| Name | Conventional | Product |
|---|---|---|
| hyperfine transition | $9.19263177 \times 10^{9}$ $\left[\text{Hz}\right]$ | $\Delta\nu_\text{Cs}$ |
| light speed | $2.99792458 \times 10^{8}$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{c}$ |
| Planck | $6.626068854361324 \times 10^{-34}$ $\left[\text{J} \cdot \text{s}\right]$ | ${\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| Planck reduced | $1.0545716114388567 \times 10^{-34}$ $\left[\text{J} \cdot \text{s}\right]$ | ${\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\tau^{-1}2^{2}$ |
| electron mass | $9.1093819203(28) \times 10^{-31}$ $\left[\text{kg}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}$ |
| molar mass | $0.001$ $\left[\text{kg}\cdot \text{mol}^{-1}\right]$ | $2^{-3}5^{-3}$ |
| Boltzmann | $1.38064872956(43) \times 10^{-23}$ $\left[\text{J} \cdot \text{K}^{-1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}5^{3}$ |
| vacuum permeability | $1.25663703976(19) \times 10^{-6}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot 2$ |
| rationalization | $1.0$ $\left[\mathbb{1}\right]$ | $1$ |
| Lorentz | $1.0$ $\left[\mathbb{1}\right]$ | $1$ |
| luminous efficacy | $683.0198236454071$ $\left[\text{lm} \cdot \text{W}^{-1}\right]$ | $\hbar\cdot \text{K}_\text{cd}\cdot {\text{R}_\text{K}^{90}}\cdot {\text{K}_\text{J}^{90}}^{2}2^{-2}$ |
| 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 | $1.66053874191(51) \times 10^{-27}$ $\left[\text{kg}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}$ |
| proton mass | $1.67262159664(52) \times 10^{-27}$ $\left[\text{kg}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}$ |
| Planck mass | $2.176434(24) \times 10^{-8}$ $\left[\text{kg}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{m}_\text{P}\cdot 2^{2}$ |
| Newton gravitation | $6.67430(15) \times 10^{-11}$ $\left[\text{kg}^{-1}\text{m}^{3}\text{s}^{-2}\right]$ | $\hbar^{2}\text{c}\cdot {\text{R}_\text{K}^{90}}\cdot {\text{K}_\text{J}^{90}}^{2}\text{m}_\text{P}^{-2}\tau^{-1}2^{-2}$ |
| Gauss gravitation | $1.990983676471466 \times 10^{-7}$ $\left[\text{Hz}\right]$ | $\text{k}_\text{G}\cdot \tau\cdot 2^{-14}3^{-7}5^{-5}$ |
| Einstein gravitation | $2.076649(46) \times 10^{-43}$ $\left[\text{N}^{-1}\right]$ | $\hbar^{2}\text{c}^{-3}{\text{R}_\text{K}^{90}}\cdot {\text{K}_\text{J}^{90}}^{2}\text{m}_\text{P}^{-2}$ |
| Hartree | $4.3597438697179(83) \times 10^{-18}$ $\left[\text{J}\right]$ | $\text{c}\cdot \text{R}_{\infty}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}$ |
| Rydberg | $1.0973731568160(21) \times 10^{7}$ $\left[\text{m}^{-1}\right]$ | $\text{R}_{\infty}$ |
| Bohr radius | $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ |
| electron radius | $2.8179403262(13) \times 10^{-15}$ $\left[\text{m}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{3}\tau^{-1}2^{-1}$ |
| Avogadro | $6.0221419396(19) \times 10^{23}$ $\left[\text{mol}^{-1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot {\text{R}_\text{K}^{90}}\cdot {\text{K}_\text{J}^{90}}^{2}2^{-6}5^{-3}$ |
| Molar gas | $8.31446261815324$ $\left[\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}$ |
| Stefan-Boltzmann | $5.6703733026(70) \times 10^{-8}$ $\left[\text{W} \cdot \text{m}^{-2} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\text{c}^{-6}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\tau^{5}2^{14}3^{-1}5^{11}$ |
| radiation density | $7.5657317605(93) \times 10^{-16}$ $\left[\text{J} \cdot \text{m}^{-3} \text{K}^{-4}\right]$ | $\text{k}_\text{B}^{4}\text{N}_\text{A}^{4}\text{c}^{-7}\text{R}_{\infty}^{4}\alpha^{-8}\mu_\text{eu}^{-4}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\tau^{5}2^{16}3^{-1}5^{11}$ |
| vacuum permittivity | $8.8541879703(14) \times 10^{-12}$ $\left[\text{F} \cdot \text{m}^{-1}\right]$ | $\text{c}^{-1}\alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}2^{-1}$ |
| electrostatic | $8.9875516323(14) \times 10^{9}$ $\left[\text{m} \cdot \text{F}^{-1}\right]$ | $\text{c}\cdot \alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}$ |
| magnetostatic | $9.9999998275(15) \times 10^{-8}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}$ |
| Biot-Savart | $9.9999998275(15) \times 10^{-8}$ $\left[\text{H} \cdot \text{m}^{-1}\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}$ |
| elementary charge | $1.602176491612271 \times 10^{-19}$ $\left[\text{C}\right]$ | ${\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}2$ |
| Faraday | $96485.342448(30)$ $\left[\text{C}\cdot \text{mol}^{-1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot {\text{K}_\text{J}^{90}}\cdot 2^{-5}5^{-3}$ |
| vacuum impedance | $376.730306964(58)$ $\left[\Omega\right]$ | $\alpha\cdot {\text{R}_\text{K}^{90}}\cdot 2$ |
| conductance quantum | $7.74809186773062 \times 10^{-5}$ $\left[\text{S}\right]$ | ${\text{R}_\text{K}^{90}}^{-1}2$ |
| Klitzing | $25812.807$ $\left[\Omega\right]$ | ${\text{R}_\text{K}^{90}}$ |
| Josephson | $4.835979 \times 10^{14}$ $\left[\text{Hz} \cdot \text{V}^{-1}\right]$ | ${\text{K}_\text{J}^{90}}$ |
| magnetic flux quantum | $2.0678336278962334 \times 10^{-15}$ $\left[\text{Wb}\right]$ | ${\text{K}_\text{J}^{90}}^{-1}$ |
| magneton | $9.2740092541(28) \times 10^{-24}$ $\left[\text{J} \cdot \text{T}^{-1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1}2^{-1}$ |
| Loschmidt | $2.686780111798444 \times 10^{25}$ $\left[\text{m}^{-3}\right]$ | $\text{k}_\text{B}^{-1}\text{T}_0^{-1}\text{atm}$ |
| mechanical heat | $4.186737323211057$ $\left[\text{J}\right]$ | $\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$ |
| Wien wavelength | $0.00289777195618(89)$ $\left[\text{m}\cdot \text{K}\right]$ | $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\text{c}^{2}\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot 2^{-4}5^{-3}/4.965114231744276$ |
| Wien frequency | $5.8789257556(18) \times 10^{10}$ $\left[\text{Hz} \cdot \text{K}^{-1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}2.8214393721220787$ |
| Sackur-Tetrode | $-1.1648705244(12)$ $\left[\mathbb{1}\right]$ | |
| Eddington | $2.555(19) \times 10^{52}$ $\left[\text{kg}\right]$ | $\hbar^{-2}\text{c}^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{m}_\text{P}^{2}\tau^{-1/2}2^{11}3^{7/2}5^{6}$ |
| solar mass | $1.988409(44) \times 10^{30}$ $\left[\text{kg}\right]$ | $\hbar^{-2}\text{c}^{-1}\text{au}^{3}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-26}3^{-14}5^{-10}$ |
| Jupiter mass | $1.898124(42) \times 10^{27}$ $\left[\text{kg}\right]$ | $\hbar^{-2}\text{c}^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{2}$ |
| Earth mass | $5.97217(13) \times 10^{24}$ $\left[\text{kg}\right]$ | $\hbar^{-2}\text{c}^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{2}$ |
| g-force | $9.80665$ $\left[\text{m}\cdot \text{s}^{-2}\right]$ | $\text{g}_0$ |
| Earth radius | $6.3754163237(64) \times 10^{6}$ $\left[\text{m}\right]$ | $\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}$ |
| great circle | $4.0057922172(40) \times 10^{7}$ $\left[\text{m}\right]$ | $\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau$ |
| nautical mile | $1854.5334339(19)$ $\left[\text{m}\right]$ | $\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$ |
| Hubble | $2.193(14) \times 10^{-18}$ $\left[\text{Hz}\right]$ | $\text{H}_0\cdot \text{au}^{-1}\tau\cdot 2^{-10}3^{-4}5^{-6}$ |
| cosmological | $1.106(16) \times 10^{-52}$ $\left[\text{m}^{-2}\right]$ | $\text{c}^{-2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\tau^{2}2^{-20}3^{-7}5^{-12}$ |
Angle Units
| Name | Conventional | 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 | Conventional | 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 | Conventional | Product |
|---|---|---|
| second | $1.0$ $\left[\text{s}\right]$ | $1$ |
| minute | $60.0$ $\left[\text{s}\right]$ | $2^{2}3\cdot 5$ |
| hour | $3600.0$ $\left[\text{s}\right]$ | $2^{4}3^{2}5^{2}$ |
| day | $86400.0$ $\left[\text{s}\right]$ | $2^{7}3^{3}5^{2}$ |
| year | $3.15576 \times 10^{7}$ $\left[\text{s}\right]$ | $\text{a}_\text{j}\cdot 2^{7}3^{3}5^{2}$ |
Length Units
| Name | Conventional | Product |
|---|---|---|
| angstrom | $1.0 \times 10^{-10}$ $\left[\text{m}\right]$ | $2^{-10}5^{-10}$ |
| inch | $0.0254$ $\left[\text{m}\right]$ | $\text{ft}\cdot 2^{-2}3^{-1}$ |
| foot | $0.3048$ $\left[\text{m}\right]$ | $\text{ft}$ |
| survey foot | $0.3048006096012192$ $\left[\text{m}\right]$ | $\text{ft}_\text{US}$ |
| yard | $0.9144000000000001$ $\left[\text{m}\right]$ | $\text{ft}\cdot 3$ |
| meter | $1.0$ $\left[\text{m}\right]$ | $1$ |
| Earth meter | $1.0014480543(10)$ $\left[\text{m}\right]$ | $\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}5^{-7}$ |
| mile | $1609.344$ $\left[\text{m}\right]$ | $\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$ |
| statute mile | $1609.3472186944373$ $\left[\text{m}\right]$ | $\text{ft}_\text{US}\cdot 2^{5}3\cdot 5\cdot 11$ |
| meridian mile | $1851.8518518518517$ $\left[\text{m}\right]$ | $2^{4}3^{-3}5^{5}$ |
| admiralty mile | $1853.1840000000002$ $\left[\text{m}\right]$ | $\text{ft}\cdot 2^{6}5\cdot 19$ |
| nautical mile | $1854.5334339(19)$ $\left[\text{m}\right]$ | $\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-5}3^{-3}5^{-2}$ |
| lunar distance | $3.84399 \times 10^{8}$ $\left[\text{m}\right]$ | $2^{3}3^{3}5^{3}14237$ |
| astronomical unit | $1.495978707000(30) \times 10^{11}$ $\left[\text{m}\right]$ | $\text{au}$ |
| Jupiter distance | $7.78479 \times 10^{11}$ $\left[\text{m}\right]$ | $2^{6}3\cdot 5^{6}259493$ |
| light-year | $9.4607304725808 \times 10^{15}$ $\left[\text{m}\right]$ | $\text{c}\cdot \text{a}_\text{j}\cdot 2^{7}3^{3}5^{2}$ |
| parsec | $3.085677581491(62) \times 10^{16}$ $\left[\text{m}\right]$ | $\text{au}\cdot \tau^{-1}2^{7}3^{4}5^{3}$ |
Speed Units
| Name | Conventional | Product |
|---|---|---|
| Bubnoff | $3.1688087814028954 \times 10^{-8}$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$ |
| feet per minute | $0.00508$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$ |
| inches per second | $0.0254$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{ft}\cdot 2^{-2}3^{-1}$ |
| kilometers per hour | $0.2777777777777778$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $2^{-1}3^{-2}5$ |
| feet per second | $0.3048$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{ft}$ |
| miles per hour | $0.44704$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$ |
| meters per second | $1.0$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $1$ |
| miles per second | $1609.344$ $\left[\text{m}\cdot \text{s}^{-1}\right]$ | $\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$ |
Area Units
| Name | Conventional | Product |
|---|---|---|
| barn | $1.0 \times 10^{-28}$ $\left[\text{m}^{2}\right]$ | $2^{-28}5^{-28}$ |
| hectare | $10000.0$ $\left[\text{m}^{2}\right]$ | $2^{4}5^{4}$ |
| acre | $4046.8564224$ $\left[\text{m}^{2}\right]$ | $\text{ft}^{2}2^{3}3^{2}5\cdot 11^{2}$ |
| survey acre | $4046.8726098742513$ $\left[\text{m}^{2}\right]$ | $\text{ft}_\text{US}^{2}2^{3}3^{2}5\cdot 11^{2}$ |
Volume Units
| Name | Conventional | Product |
|---|---|---|
| liter | $0.001$ $\left[\text{m}^{3}\right]$ | $2^{-3}5^{-3}$ |
| gallon | $0.0037854117839999997$ $\left[\text{m}^{3}\right]$ | $\text{ft}^{3}2^{-6}3^{-2}7\cdot 11$ |
| quart | $0.0009463529459999999$ $\left[\text{m}^{3}\right]$ | $\text{ft}^{3}2^{-8}3^{-2}7\cdot 11$ |
| pint | $0.00047317647299999996$ $\left[\text{m}^{3}\right]$ | $\text{ft}^{3}2^{-9}3^{-2}7\cdot 11$ |
| cup | $0.00023658823649999998$ $\left[\text{m}^{3}\right]$ | $\text{ft}^{3}2^{-10}3^{-2}7\cdot 11$ |
| fluid ounce | $2.9573529562499998 \times 10^{-5}$ $\left[\text{m}^{3}\right]$ | $\text{ft}^{3}2^{-13}3^{-2}7\cdot 11$ |
| teaspoon | $5.0 \times 10^{-6}$ $\left[\text{m}^{3}\right]$ | $2^{-6}5^{-5}$ |
| tablespoon | $1.5000000000000002 \times 10^{-5}$ $\left[\text{m}^{3}\right]$ | $2^{-6}3\cdot 5^{-5}$ |
Mass Units
| Name | Conventional | Product |
|---|---|---|
| gram | $0.0009999998044634834$ $\left[\text{kg}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-1}5^{-3}$ |
| Earth gram | $0.0010043502601(30)$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{g}_0^{-3/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-28}5^{-24}$ |
| kilogram | $0.9999998044634832$ $\left[\text{kg}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| tonne | $999.9998044634832$ $\left[\text{kg}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{5}5^{3}$ |
| ton | $907.1845626122558$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}5^{3}$ |
| pound (mass) | $0.45359228130612794$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| ounce | $0.028349517581632996$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-2}$ |
| grain | $6.479889732944684 \times 10^{-5}$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-1}5^{-3}7^{-1}$ |
| slug | $14.593900083565417$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| slinch | $175.12680100278502$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{4}3$ |
| hyl | $9.806648082441818$ $\left[\text{kg}\right]$ | $\hbar^{-1}\text{g}_0\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
Force Units
| Name | Conventional | Product |
|---|---|---|
| dyne | $9.999998044634833 \times 10^{-6}$ $\left[\text{N}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-3}5^{-5}$ |
| newton | $0.9999998044634832$ $\left[\text{N}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| poundal | $0.13825492734210781$ $\left[\text{N}\right]$ | $\hbar^{-1}\text{ft}\cdot \text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| pound (force) | $4.44822074547074$ $\left[\text{N}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| kilopond | $9.806648082441818$ $\left[\text{N}\right]$ | $\hbar^{-1}\text{g}_0\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
Pressure Units
| Name | Conventional | Product |
|---|---|---|
| pounds per square inch | $6894.755944991535$ $\left[\text{Pa}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}3^{2}$ |
| pascal | $0.9999998044634832$ $\left[\text{Pa}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| barye | $0.09999998044634834$ $\left[\text{Pa}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2\cdot 5^{-1}$ |
| bar | $99999.98044634833$ $\left[\text{Pa}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{7}5^{5}$ |
| technical atmosphere | $98066.48082441818$ $\left[\text{Pa}\right]$ | $\hbar^{-1}\text{g}_0\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}5^{4}$ |
| atmosphere | $101324.98018726244$ $\left[\text{Pa}\right]$ | $\hbar^{-1}\text{atm}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| inch mercury | $3386.388337837291$ $\left[\text{Pa}\right]$ | $\hbar^{-1}\text{in}_\text{Hg}^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| torr | $133.3223423516611$ $\left[\text{Pa}\right]$ | $\hbar^{-1}\text{atm}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-1}5^{-1}19^{-1}$ |
Energy Units
| Name | Conventional | Product |
|---|---|---|
| erg | $9.999998044634832 \times 10^{-8}$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-5}5^{-7}$ |
| joule | $0.9999998044634832$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| foot-pound | $1.3558176832194815$ $\left[\text{J}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| calorie | $4.186736504551024$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{4}3^{2}5\cdot 43^{-1}$ |
| kilocalorie | $4186.736504551023$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{7}3^{2}5^{4}43^{-1}$ |
| mean calorie | $4.186841135924542$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{4}3^{2}5\cdot 43^{-1}1.0001900224889804$ |
| Earth calorie | $4.204950720(13)$ $\left[\text{J}\right]$ | $\hbar^{-1}\text{g}_0^{-3/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-23}3^{2}5^{-20}43^{-1}$ |
| thermal unit | $1055.0398520360081$ $\left[\text{J}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{7}5^{5}43^{-1}$ |
| gas gallon | $1.2027454313210493 \times 10^{8}$ $\left[\text{J}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{11}3\cdot 5^{8}19\cdot 43^{-1}$ |
| ton TNT | $4.1867365045510235 \times 10^{9}$ $\left[\text{J}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{13}3^{2}5^{10}43^{-1}$ |
| electronvolt | $1.6021763207159617 \times 10^{-19}$ $\left[\text{J}\right]$ | $\hbar^{-1}\text{e}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
Power Units
| Name | Conventional | Product |
|---|---|---|
| watt | $0.9999998044634832$ $\left[\text{W}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| horsepower (Watt) | $736.0289636905941$ $\left[\text{W}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\tau\cdot 2^{6}3^{3}5^{-1}$ |
| horsepower (Metric) | $735.4986061831363$ $\left[\text{W}\right]$ | $\hbar^{-1}\text{g}_0\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}3\cdot 5^{2}$ |
| horsepower | $745.6997257707148$ $\left[\text{W}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}5^{2}11$ |
| electrical horsepower | $745.9998541297585$ $\left[\text{W}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{3}373$ |
| tons refrigeration | $3516.799506786693$ $\left[\text{W}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3^{-1}5^{6}43^{-1}$ |
| boiler horsepower | $9810.405290807048$ $\left[\text{W}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{3}3^{-2}5^{5}43^{-1}1339$ |
Thermodynamic Units
| Name | Conventional | Product |
|---|---|---|
| Kelvin | $1.0$ $\left[\text{K}\right]$ | $1$ |
| Rankine | $0.5555555555555556$ $\left[\text{K}\right]$ | $3^{-2}5$ |
| Celsius | $273.15$ $\left[\text{K}\right]$ | $\text{T}_0$ |
| Fahrenheit | $255.37222222222223$ $\left[\text{K}\right]$ | $3^{-2}5459.67$ |
| sea level | $288.15$ $\left[\text{K}\right]$ | $288.15$ |
| boiling | $373.1339$ $\left[\text{K}\right]$ | $373.1339$ |
| mole | $0.9999998044634832$ $\left[\text{mol}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| Earth-mole | $1.0043502601(30)$ $\left[\text{mol}\right]$ | $\hbar^{-1}\text{g}_0^{-3/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}5^{-21}$ |
| pound-mole | $453.5922813061279$ $\left[\text{mol}\right]$ | $\hbar^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{5}5^{3}$ |
| slug-mole | $14593.900083565417$ $\left[\text{mol}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{5}5^{3}$ |
| slinch-mole | $175126.801002785$ $\left[\text{mol}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{7}3\cdot 5^{3}$ |
| katal | $0.9999998044634832$ $\left[\text{kat}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| amagat | $44.615024666(14)$ $\left[\text{m}^{-3}\text{mol}\right]$ | $\text{k}_\text{B}^{-1}\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}5^{3}$ |
Photometric Units
| Name | Conventional | Product |
|---|---|---|
| lumen | $1.0$ $\left[\text{cd}\right]$ | $1$ |
| candela | $1.0$ $\left[\text{cd}\right]$ | $1$ |
| lux | $1.0$ $\left[\text{lx}\right]$ | $1$ |
| phot | $10000.0$ $\left[\text{lx}\right]$ | $2^{4}5^{4}$ |
| foot-candle | $10.76391041670972$ $\left[\text{lx}\right]$ | $\text{ft}^{-2}$ |
| nit | $1.0$ $\left[\text{lx}\right]$ | $1$ |
| apostilb | $0.3183098861837907$ $\left[\text{lx}\right]$ | $\tau^{-1}2$ |
| stilb | $10000.0$ $\left[\text{lx}\right]$ | $2^{4}5^{4}$ |
| lambert | $3183.098861837907$ $\left[\text{lx}\right]$ | $\tau^{-1}2^{5}5^{4}$ |
| foot-lambert | $3.42625909963539$ $\left[\text{lx}\right]$ | $\text{ft}^{-2}\tau^{-1}2$ |
| bril | $3.183098861837907 \times 10^{-8}$ $\left[\text{lx}\right]$ | $\tau^{-1}2^{-6}5^{-7}$ |
| talbot | $1.0$ $\left[\text{s}\cdot \text{lm}\right]$ | $1$ |
| lumerg | $1.0 \times 10^{-7}$ $\left[\text{s}\cdot \text{lm}\right]$ | $2^{-7}5^{-7}$ |
Specialized Units
| Name | Conventional | Product |
|---|---|---|
| hertz | $1.0$ $\left[\text{Hz}\right]$ | $1$ |
| actions per minute | $0.016666666666666666$ $\left[\text{Hz}\right]$ | $2^{-2}3^{-1}5^{-1}$ |
| revolutions per minute | $0.10471975511965977$ $\left[\text{Hz}\right]$ | $\tau\cdot 2^{-2}3^{-1}5^{-1}$ |
| kayser | $100.0$ $\left[\text{m}^{-1}\right]$ | $2^{2}5^{2}$ |
| diopter | $1.0$ $\left[\text{m}^{-1}\right]$ | $1$ |
| rayleigh | $1.0 \times 10^{10}$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]$ | $2^{10}5^{10}$ |
| flick | $9.999998044634832 \times 10^{9}$ $\left[\text{W} \cdot \text{m}^{-3}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{12}5^{10}$ |
| g-force | $9.80665$ $\left[\text{m}\cdot \text{s}^{-2}\right]$ | $\text{g}_0$ |
| galileo | $0.010000000000000002$ $\left[\text{m}\cdot \text{s}^{-2}\right]$ | $2^{-2}5^{-2}$ |
| eotvos | $1.0 \times 10^{-9}$ $\left[\text{Hz} \cdot \text{s}^{-1}\right]$ | $2^{-9}5^{-9}$ |
| darcy | $9.869232667160128 \times 10^{-13}$ $\left[\text{m}^{2}\right]$ | $\text{atm}^{-1}2^{-7}5^{-7}$ |
| poise | $0.09999998044634834$ $\left[\text{Pa} \cdot \text{s}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2\cdot 5^{-1}$ |
| reyn | $6894.755944991535$ $\left[\text{Pa} \cdot \text{s}\right]$ | $\hbar^{-1}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot {\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{6}3^{2}$ |
| stokes | $0.0001$ $\left[\text{m}^{2}\text{s}^{-1}\right]$ | $2^{-4}5^{-4}$ |
| rayl | $0.9999998044634832$ $\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{2}$ |
| mpg equivalent | $1.338058709757358 \times 10^{-5}$ $\left[\text{N}^{-1}\right]$ | $\hbar\cdot \text{ft}\cdot \text{lb}^{-1}{\text{R}_\text{K}^{90}}\cdot {\text{K}_\text{J}^{90}}^{2}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}2^{-6}5^{-7}11\cdot 19^{-1}43$ |
| langley | $41867.36504551023$ $\left[\text{N} \cdot \text{m}^{-1}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{8}3^{2}5^{5}43^{-1}$ |
| jansky | $9.999998044634832 \times 10^{-27}$ $\left[\text{N} \cdot \text{m}^{-1}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-24}5^{-26}$ |
| solar flux | $9.999998044634832 \times 10^{-23}$ $\left[\text{N} \cdot \text{m}^{-1}\right]$ | $\hbar^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-2}2^{-20}5^{-22}$ |
| curie | $3.7 \times 10^{10}$ $\left[\text{Hz}\right]$ | $2^{9}5^{9}37$ |
| gray | $1.0$ $\left[\text{J} \cdot \text{kg}^{-1}\right]$ | $1$ |
| roentgen | $0.000257976899216(20)$ $\left[\text{kg}^{-1}\text{C}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\alpha^{-1/2}{\text{K}_\text{J}^{90}}\cdot \tau^{1/2}2^{1/2}5^{3/2}/1.293$ |
Charge Units
| Name | Conventional | Product |
|---|---|---|
| coulomb | $0.999999910856(77)$ $\left[\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-5/2}5^{-7/2}$ |
| Earth coulomb | $1.0028981161(20)$ $\left[\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\text{g}_0^{-1}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-41/2}5^{-35/2}$ |
| abcoulomb | $9.99999910856(77)$ $\left[\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-3/2}5^{-5/2}$ |
| statcoulomb | $3.33564065463(26) \times 10^{-10}$ $\left[\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-7/2}5^{-9/2}$ |
Current Units
| Name | Conventional | Product |
|---|---|---|
| ampere | $0.999999910856(77)$ $\left[\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-5/2}5^{-7/2}$ |
| abampere | $9.99999910856(77)$ $\left[\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-3/2}5^{-5/2}$ |
| statampere | $3.33564065463(26) \times 10^{-10}$ $\left[\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{1/2}2^{-7/2}5^{-9/2}$ |
Electromotive Units
| Name | Conventional | Product |
|---|---|---|
| volt | $0.999999893608(77)$ $\left[\text{V}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{9/2}5^{7/2}$ |
| abvolt | $9.99999893608(77) \times 10^{-9}$ $\left[\text{V}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-7/2}5^{-9/2}$ |
| statvolt | $299.792426104(23)$ $\left[\text{V}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-3/2}5^{-5/2}$ |
Inductance Units
| Name | Conventional | Product |
|---|---|---|
| henry | $0.99999998275(15)$ $\left[\text{H}\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{7}5^{7}$ |
| abhenry | $9.9999998275(15) \times 10^{-10}$ $\left[\text{H}\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{-2}5^{-2}$ |
| stathenry | $8.9875516323(14) \times 10^{11}$ $\left[\text{H}\right]$ | $\text{c}\cdot \alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{2}5^{2}$ |
Resistance Units
| Name | Conventional | Product |
|---|---|---|
| ohm | $0.99999998275(15)$ $\left[\Omega\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{7}5^{7}$ |
| abohm | $9.9999998275(15) \times 10^{-10}$ $\left[\Omega\right]$ | $\text{c}^{-1}\alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{-2}5^{-2}$ |
| statohm | $8.9875516323(14) \times 10^{11}$ $\left[\Omega\right]$ | $\text{c}\cdot \alpha\cdot {\text{R}_\text{K}^{90}}\cdot \tau^{-1}2^{2}5^{2}$ |
Conductance Units
| Name | Conventional | Product |
|---|---|---|
| siemens | $1.00000001725(15)$ $\left[\text{S}\right]$ | $\text{c}\cdot \alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{-7}5^{-7}$ |
| abmho | $1.00000001725(15) \times 10^{9}$ $\left[\text{S}\right]$ | $\text{c}\cdot \alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{2}5^{2}$ |
| statmho | $1.11265007525(17) \times 10^{-12}$ $\left[\text{S}\right]$ | $\text{c}^{-1}\alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{-2}5^{-2}$ |
Capacitance Units
| Name | Conventional | Product |
|---|---|---|
| farad | $1.00000001725(15)$ $\left[\text{F}\right]$ | $\text{c}\cdot \alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{-7}5^{-7}$ |
| abfarad | $1.00000001725(15) \times 10^{9}$ $\left[\text{F}\right]$ | $\text{c}\cdot \alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{2}5^{2}$ |
| statfarad | $1.11265007525(17) \times 10^{-12}$ $\left[\text{F}\right]$ | $\text{c}^{-1}\alpha^{-1}{\text{R}_\text{K}^{90}}^{-1}\tau\cdot 2^{-2}5^{-2}$ |
MagneticFlux Units
| Name | Conventional | Product |
|---|---|---|
| weber | $0.999999893608(77)$ $\left[\text{Wb}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{9/2}5^{7/2}$ |
| maxwell | $9.99999893608(77) \times 10^{-9}$ $\left[\text{Wb}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-7/2}5^{-9/2}$ |
| statweber | $299.792426104(23)$ $\left[\text{Wb}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-3/2}5^{-5/2}$ |
MagneticFluxDensity Units
| Name | Conventional | Product |
|---|---|---|
| tesla | $0.999999893608(77)$ $\left[\text{T}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{9/2}5^{7/2}$ |
| gauss | $9.99999893608(77) \times 10^{-5}$ $\left[\text{T}\right]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{1/2}5^{-1/2}$ |
| stattesla | $2.99792426104(23) \times 10^{6}$ $\left[\text{T}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{5/2}5^{3/2}$ |
MagneticSpecialized Units
| Name | Conventional | Product |
|---|---|---|
| oersted | $79.5774644521(61)$ $\left[\text{m}^{-1}\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-1/2}5^{-1/2}$ |
| gilbert | $0.795774644521(61)$ $\left[\text{s}^{-1}\text{C}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}{\text{R}_\text{K}^{90}}^{-1}{\text{K}_\text{J}^{90}}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$ |
Equivalent dimensional quantities
| Conventional | Equivalent Dimensions |
|---|---|
| $\mathbb{1}$ | dimensionless $\left[\mathbb{1}\right]$, angle $\left[A\right]$, solidangle $\left[A^{2}\right]$, gravityforce $\left[F^{-1}MLT^{-2}\right]$, susceptibility $\left[R^{-1}\right]$, demagnetizingfactor $\left[R\right]$ |
| $\text{s}$ | time $\left[T\right]$, angulartime $\left[TA^{-1}\right]$ |
| $\text{m}$ | length $\left[L\right]$, angularlength $\left[LA^{-1}\right]$ |
| $\text{m}^{2}$ | area $\left[L^{2}\right]$, angulararea $\left[L^{2}A^{-2}\right]$, etendue $\left[L^{2}A^{2}\right]$ |
| $\text{m}^{3}$ | volume $\left[L^{3}\right]$, magneticpolarizability $\left[L^{3}A^{-1}R^{-1}\right]$ |
| $\text{m}^{-1}$ | wavenumber $\left[L^{-1}\right]$, angularwavenumber $\left[L^{-1}A\right]$ |
| $\text{m}^{-2}$ | fuelefficiency $\left[L^{-2}\right]$ |
| $\text{m}^{-3}$ | numberdensity $\left[L^{-3}\right]$ |
| $\text{Hz}$ | frequency $\left[T^{-1}\right]$, angularfrequency $\left[T^{-1}A\right]$, photonintensity $\left[T^{-1}A^{-2}\right]$ |
| $\text{Hz} \cdot \text{s}^{-1}$ | frequencydrift $\left[T^{-2}\right]$ |
| $\text{m}^{-1}\text{s}$ | stagnance $\left[L^{-1}T\right]$ |
| $\text{m}\cdot \text{s}^{-1}$ | speed $\left[LT^{-1}\right]$ |
| $\text{m}\cdot \text{s}^{-2}$ | acceleration $\left[LT^{-2}\right]$, specificforce $\left[FM^{-1}\right]$ |
| $\text{m}\cdot \text{s}^{-3}$ | jerk $\left[LT^{-3}\right]$ |
| $\text{m}\cdot \text{s}^{-4}$ | snap $\left[LT^{-4}\right]$ |
| $\text{m}\cdot \text{s}^{-5}$ | crackle $\left[LT^{-5}\right]$ |
| $\text{m}\cdot \text{s}^{-6}$ | pop $\left[LT^{-6}\right]$ |
| $\text{m}^{3}\text{s}^{-1}$ | volumeflow $\left[L^{3}T^{-1}\right]$ |
| $\text{Hz} \cdot \text{m}^{-2}$ | photonirradiance $\left[L^{-2}T\right]$, photonradiance $\left[L^{-2}TA^{-2}\right]$ |
| $\text{kg}$ | inertia $\left[FL^{-1}T^{2}\right]$, mass $\left[M\right]$ |
| $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ | massflow $\left[MT^{-1}\right]$, spectralexposure $\left[FL^{-1}T\right]$ |
| $\text{kg}\cdot \text{m}^{-1}$ | lineardensity $\left[ML^{-1}\right]$ |
| $\text{kg}\cdot \text{m}^{-2}$ | areadensity $\left[ML^{-2}\right]$ |
| $\text{kg}\cdot \text{m}^{-3}$ | density $\left[ML^{-3}\right]$ |
| $\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}$ | specificweight $\left[FL^{-3}\right]$ |
| $\text{kg}^{-1}\text{m}^{3}$ | specificvolume $\left[M^{-1}L^{3}\right]$, specificsusceptibility $\left[M^{-1}L^{3}A^{-1}R^{-1}\right]$ |
| $\text{N}$ | force $\left[F\right]$ |
| $\text{Pa}$ | pressure $\left[FL^{-2}\right]$ |
| $\text{Pa}^{-1}$ | compressibility $\left[F^{-1}L^{2}\right]$ |
| $\text{Pa} \cdot \text{s}$ | viscosity $\left[FL^{-2}T\right]$ |
| $\text{m}^{2}\text{s}^{-1}$ | diffusivity $\left[L^{2}T^{-1}\right]$ |
| $\text{kg}\cdot \text{m}^{2}$ | rotationalinertia $\left[ML^{2}\right]$ |
| $\text{N} \cdot \text{s}$ | impulse $\left[FT\right]$, momentum $\left[MLT^{-1}\right]$ |
| $\text{J} \cdot \text{s}$ | angularmomentum $\left[FLTA^{-1}\right]$, action $\left[FLT\right]$ |
| $\text{N} \cdot \text{s}^{-1}$ | yank $\left[MLT^{-3}\right]$, spectralflux $\left[FT^{-1}\right]$ |
| $\text{J}$ | energy $\left[FL\right]$ |
| $\text{J} \cdot \text{kg}^{-1}$ | specificenergy $\left[FM^{-1}L\right]$ |
| $\text{N} \cdot \text{m}^{-1}$ | fluence $\left[FL^{-1}\right]$ |
| $\text{W}$ | power $\left[FLT^{-1}\right]$, radiantintensity $\left[FLT^{-1}A^{-2}\right]$ |
| $\text{W} \cdot \text{m}^{-3}$ | powerdensity $\left[FL^{-2}T^{-1}\right]$ |
| $\text{W} \cdot \text{m}^{-2}$ | irradiance $\left[FL^{-1}T^{-1}\right]$, radiance $\left[FL^{-1}T^{-1}A^{-2}\right]$ |
| $\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}$ | soundexposure $\left[F^{2}L^{-4}T\right]$ |
| $\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}$ | impedance $\left[FL^{-5}T\right]$ |
| $\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}$ | specificimpedance $\left[FL^{-3}T\right]$ |
| $\text{kg}^{-1}\text{m}^{4}\text{s}$ | admittance $\left[F^{-1}L^{5}T^{-1}\right]$ |
| $\text{m} \cdot \text{N}^{-1}$ | compliance $\left[M^{-1}T^{2}\right]$ |
| $\text{kg}\cdot \text{m}^{-4}$ | inertance $\left[ML^{-4}\right]$ |
| $\text{C}$ | charge $\left[Q\right]$ |
| $\text{m}^{-3}\text{C}$ | chargedensity $\left[L^{-3}Q\right]$ |
| $\text{m}^{-1}\text{C}$ | linearchargedensity $\left[L^{-1}Q\right]$ |
| $\text{kg}^{-1}\text{C}$ | exposure $\left[M^{-1}Q\right]$ |
| $\text{m}^2 \text{s}^{-1} \text{V}^{-1}$ | mobility $\left[FL^{3}T^{-1}Q^{-1}\right]$ |
| $\text{s}^{-1}\text{C}$ | current $\left[T^{-1}Q\right]$, magneticpotential $\left[T^{-1}QRC^{-1}\right]$ |
| $\text{m}^{-2}\text{s}^{-1}\text{C}$ | currentdensity $\left[L^{-2}T^{-1}Q\right]$ |
| $\Omega$ | resistance $\left[FLTQ^{-2}\right]$ |
| $\text{S}$ | conductance $\left[F^{-1}L^{-1}T^{-1}Q^{2}\right]$ |
| $\Omega \cdot \text{m}$ | resistivity $\left[FL^{2}TQ^{-2}\right]$ |
| $\text{S} \cdot \text{m}^{-1}$ | conductivity $\left[F^{-1}L^{-2}T^{-1}Q^{2}\right]$ |
| $\text{F}$ | capacitance $\left[F^{-1}L^{-1}Q^{2}\right]$ |
| $\text{H}$ | inductance $\left[FLT^{2}Q^{-2}\right]$, permeance $\left[FLT^{2}Q^{-2}R^{-1}C^{2}\right]$ |
| $\text{H}^{-1}$ | reluctance $\left[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}\right]$ |
| $\text{F} \cdot \text{m}^{-1}$ | permittivity $\left[F^{-1}L^{-2}Q^{2}R\right]$ |
| $\text{H} \cdot \text{m}^{-1}$ | permeability $\left[FT^{2}Q^{-2}R^{-1}C^{2}\right]$ |
| $\text{Wb} \cdot \text{m}^{-1}$ | vectorpotential $\left[FTQ^{-1}C\right]$ |
| $\text{V}$ | electricpotential $\left[FLQ^{-1}\right]$ |
| $\text{V} \cdot \text{m}^{-1}$ | electricfield $\left[FQ^{-1}\right]$ |
| $\text{m}^{-1}\text{s}^{-1}\text{C}$ | magneticfield $\left[L^{-1}T^{-1}QRC^{-1}\right]$ |
| $\text{V} \cdot \text{m}$ | electricflux $\left[FL^{2}Q^{-1}\right]$ |
| $\text{Wb}$ | magneticflux $\left[FLTQ^{-1}C\right]$ |
| $\text{m}^{-2}\text{C}$ | electricdisplacement $\left[L^{-2}QR\right]$ |
| $\text{T}$ | magneticfluxdensity $\left[FL^{-1}TQ^{-1}C\right]$ |
| $\text{m}\cdot \text{C}$ | electricdipolemoment $\left[LQ\right]$ |
| $\text{J} \cdot \text{T}^{-1}$ | magneticdipolemoment $\left[L^{2}T^{-1}QA^{-1}C^{-1}\right]$ |
| $\text{kg}^{-1}\text{s}^{2}\text{C}^{2}$ | electricpolarizability $\left[F^{-1}LQ^{2}\right]$ |
| $\text{Wb} \cdot \text{m}$ | magneticmoment $\left[FL^{2}TQ^{-1}C\right]$ |
| $\text{m}^{-3}\text{s}\cdot \text{C}$ | specificmagnetization $\left[F^{-1}ML^{-2}T^{-1}QC^{-1}\right]$ |
| $\text{m}\cdot \text{s}^{-1}\text{C}$ | polestrength $\left[LT^{-1}QA^{-1}C^{-1}\right]$ |
| $\text{K}$ | temperature $\left[Θ\right]$ |
| $\text{J} \cdot \text{K}^{-1}$ | entropy $\left[FLΘ^{-1}\right]$ |
| $\text{J} \cdot \text{K}^{-1} \text{kg}^{-1}$ | specificentropy $\left[FM^{-1}LΘ^{-1}\right]$ |
| $\text{kg}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-1}$ | volumeheatcapacity $\left[FL^{-2}Θ^{-1}\right]$ |
| $\text{W} \cdot \text{m}^{-1} \text{K}^{-1}$ | thermalconductivity $\left[FT^{-1}Θ^{-1}\right]$ |
| $\text{W} \cdot \text{K}^{-1}$ | thermalconductance $\left[FLT^{-1}Θ^{-1}\right]$ |
| $\text{K} \cdot \text{m} \cdot \text{W}^{-1}$ | thermalresistivity $\left[F^{-1}TΘ\right]$ |
| $\text{K} \cdot \text{W}^{-1}$ | thermalresistance $\left[F^{-1}L^{-1}TΘ\right]$ |
| $\text{K}^{-1}$ | thermalexpansion $\left[Θ^{-1}\right]$ |
| $\text{m}^{-1}\text{K}$ | lapserate $\left[L^{-1}Θ\right]$ |
| $\text{kg}\cdot \text{mol}^{-1}$ | molarmass $\left[MN^{-1}\right]$ |
| $\text{kg}^{-1}\text{mol}$ | molality $\left[M^{-1}N\right]$ |
| $\text{mol}$ | molaramount $\left[N\right]$ |
| $\text{m}^{-3}\text{mol}$ | molarity $\left[L^{-3}N\right]$ |
| $\text{m}^{3}\text{mol}^{-1}$ | molarvolume $\left[L^{3}N^{-1}\right]$, molarsusceptibility $\left[L^{3}N^{-1}A^{-1}R^{-1}\right]$ |
| $\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}$ | molarentropy $\left[FLΘ^{-1}N^{-1}\right]$ |
| $\text{J} \cdot \text{mol}^{-1}$ | molarenergy $\left[FLN^{-1}\right]$ |
| $\text{S} \cdot \text{m}^2 \text{mol}^{-1}$ | molarconductivity $\left[F^{-1}T^{-1}Q^{2}N^{-1}\right]$ |
| $\text{kat}$ | catalysis $\left[T^{-1}N\right]$ |
| $\text{m}^{3}\text{s}^{-1}\text{mol}^{-1}$ | specificity $\left[L^{3}T^{-1}N^{-1}\right]$ |
| $\text{m}^{-2}\text{s}\cdot \text{mol}$ | diffusionflux $\left[L^{-2}TN\right]$ |
| $\text{cd}$ | luminousflux $\left[J\right]$, luminousintensity $\left[JA^{-2}\right]$ |
| $\text{lx}$ | luminance $\left[L^{-2}JA^{-2}\right]$, illuminance $\left[L^{-2}J\right]$ |
| $\text{s}\cdot \text{lm}$ | luminousenergy $\left[TJ\right]$ |
| $\text{lx} \cdot \text{s}$ | luminousexposure $\left[L^{-2}TJ\right]$ |
| $\text{lm} \cdot \text{W}^{-1}$ | luminousefficacy $\left[F^{-1}L^{-1}TJ\right]$ |