$ \text{F}=MT^{-1}, \text{M}, \text{L}=T, \text{T},
\text{Q}, \Theta=M, \text{N}=M, \text{J},
\text{A}=\mathbb{1}, \text{R}=\mathbb{1},
\text{C}=\mathbb{1} $
| Name |
Stoney |
Product |
| hyperfine transition |
$4.233619(47) \times
10^{-35}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\Delta\nu_\text{Cs}\cdot
\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| light speed |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Planck |
$861.02257600(13)$
$\left[\text{M}\cdot \text{T}\right]$ |
$\alpha^{-1}\tau$ |
| Planck reduced |
$137.035999084(21)$
$\left[\text{M}\cdot \text{T}\right]$ |
$\alpha^{-1}$ |
| electron mass |
$4.899602(54) \times
10^{-22}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-5/2}\text{m}_\text{P}^{-1}2$ |
| molar mass |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Boltzmann |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| vacuum permeability |
$12.566370614359172$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$\tau\cdot
2$ |
| rationalization |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Lorentz |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| luminous efficacy |
$1.0$
$\left[\text{M}^{-1}\text{T}\cdot
\text{J}\right]$ |
$1$ |
| 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 |
$8.931429(98) \times
10^{-19}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2$ |
| proton mass |
$8.996418(99) \times
10^{-19}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot
\text{m}_\text{P}^{-1}2$ |
| Planck mass |
$11.70623761437(90)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}$ |
| Newton gravitation |
$1.0$
$\left[\text{M}^{-1}\text{T}\right]$ |
$1$ |
| Gauss gravitation |
$9.16937(10) \times
10^{-52}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{k}_\text{G}\cdot
\text{m}_\text{P}^{-1}2^{-14}3^{-7}5^{-5}$ |
| Einstein gravitation |
$25.132741228718345$
$\left[\text{M}^{-1}\text{T}\right]$ |
$\tau\cdot
2^{2}$ |
| Hartree |
$2.609105(29) \times
10^{-26}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-1/2}\text{m}_\text{P}^{-1}2$ |
| Rydberg |
$1.515120(17) \times
10^{-29}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| Bohr radius |
$3.832733(42) \times
10^{25}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{1/2}\text{m}_\text{P}\cdot
2^{-1}$ |
| electron radius |
$2.040982(23) \times
10^{21}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot
2^{-1}$ |
| Avogadro |
$1.119642(12) \times
10^{18}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot 2^{-1}$ |
| Molar gas |
$1.119642(12) \times
10^{18}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot 2^{-1}$ |
| Stefan-Boltzmann |
$6.3921135864(29)
\times 10^{-8}$
$\left[\text{M}^{-3}\text{T}^{-3}\right]$ |
$\alpha^{3}\tau^{2}2^{-4}3^{-1}5^{-1}$ |
| radiation density |
$2.5568454345(12)
\times 10^{-7}$
$\left[\text{M}^{-3}\text{T}^{-3}\right]$ |
$\alpha^{3}\tau^{2}2^{-2}3^{-1}5^{-1}$ |
| vacuum permittivity |
$0.07957747154594767$
$\left[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}\right]$ |
$\tau^{-1}2^{-1}$ |
| electrostatic |
$1.0$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$1$ |
| magnetostatic |
$1.0$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$1$ |
| Biot-Savart |
$1.0$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$1$ |
| elementary charge |
$1.0$
$\left[\text{e}\right]$ |
$1$ |
| Faraday |
$1.119642(12) \times
10^{18}$
$\left[\text{M}^{-1}\text{Q}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot 2^{-1}$ |
| vacuum impedance |
$12.566370614359172$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$\tau\cdot
2$ |
| conductance quantum |
$0.00232281946577(36)$
$\left[\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}\right]$ |
$\alpha\cdot
\tau^{-1}2$ |
| Klitzing |
$861.02257600(13)$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-2}\right]$ |
$\alpha^{-1}\tau$ |
| Josephson |
$0.00232281946577(36)$
$\left[\text{M}^{-1}\text{T}^{-1}\text{Q}\right]$ |
$\alpha\cdot
\tau^{-1}2$ |
| magnetic flux
quantum |
$430.5112880000(66)$
$\left[\text{M}\cdot \text{T}\cdot
\text{Q}^{-1}\right]$ |
$\alpha^{-1}\tau\cdot 2^{-1}$ |
| magneton |
$1.398440(15) \times
10^{23}$ $\left[\text{T}\cdot
\text{Q}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{3/2}\text{m}_\text{P}\cdot
2^{-2}$ |
| Loschmidt |
$7.07147(23) \times
10^{-83}$
$\left[\text{T}^{-3}\right]$ |
$\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\alpha^{3/2}\text{T}_0^{-1}\text{atm}\cdot
\text{m}_\text{P}^{-3}\tau^{-3}$ |
| mechanical heat |
$5.637942(62) \times
10^{17}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}\cdot
2\cdot 3^{2}5\cdot 43^{-1}$ |
| Wien wavelength |
$173.414454494(27)$
$\left[\text{M}\cdot \text{T}\right]$ |
$\alpha^{-1}\tau/4.965114231744276$ |
| Wien frequency |
$0.00327684714753(50)$
$\left[\text{M}^{-1}\text{T}^{-1}\right]$ |
$\alpha\cdot
\tau^{-1}2.8214393721220787$ |
| Sackur-Tetrode |
$-1.1648705244(12)$
$\left[\mathbb{1}\right]$ |
|
| Eddington |
$1.374(10) \times
10^{61}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot
\text{m}_\text{P}\cdot
\tau^{-1/2}2^{9}3^{7/2}5^{6}$ |
| solar mass |
$1.069492(12) \times
10^{39}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot
\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| Jupiter mass |
$1.020931(11) \times
10^{36}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{J}\cdot \tau$ |
| Earth mass |
$3.212209(35) \times
10^{33}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}\cdot \tau$ |
| g-force |
$1.506510(17) \times
10^{-52}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot
\text{m}_\text{P}^{-1}\tau^{-1}$ |
| Earth radius |
$4.617596(51) \times
10^{42}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau$ |
| great circle |
$2.901321(32) \times
10^{43}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{2}$ |
| nautical mile |
$1.343204(15) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$ |
| Hubble |
$1.0098(63) \times
10^{-62}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{H}_0\cdot
\text{au}^{-1}\text{m}_\text{P}^{-1}2^{-10}3^{-4}5^{-6}$ |
| cosmological |
$2.108(31) \times
10^{-124}$
$\left[\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-4}\alpha\cdot
\Omega_{\Lambda}\cdot
\text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-2}2^{-20}3^{-7}5^{-12}$ |
| Name |
Stoney |
Product |
| angstrom |
$7.242815(80) \times
10^{25}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot
2^{-10}5^{-10}$ |
| inch |
$1.839675(20) \times
10^{34}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot
\tau\cdot 2^{-2}3^{-1}$ |
| foot |
$2.207610(24) \times
10^{35}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot
\tau$ |
| survey foot |
$2.207614(24) \times
10^{35}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}_\text{US}\cdot
\text{m}_\text{P}\cdot \tau$ |
| yard |
$6.622830(73) \times
10^{35}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot
\tau\cdot 3$ |
| meter |
$7.242815(80) \times
10^{35}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{m}_\text{P}\cdot \tau$ |
| Earth meter |
$7.253303(80) \times
10^{35}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{2}2^{-9}5^{-7}$ |
| mile |
$1.165618(13) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot
\tau\cdot 2^{5}3\cdot 5\cdot 11$ |
| statute mile |
$1.165620(13) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}_\text{US}\cdot
\text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot
11$ |
| meridian mile |
$1.341262(15) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot
2^{4}3^{-3}5^{5}$ |
| admiralty mile |
$1.342227(15) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{ft}\cdot \text{m}_\text{P}\cdot
\tau\cdot 2^{6}5\cdot 19$ |
| nautical mile |
$1.343204(15) \times
10^{39}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$ |
| lunar distance |
$2.784131(31) \times
10^{44}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot
2^{3}3^{3}5^{3}14237$ |
| astronomical unit |
$1.083510(12) \times
10^{47}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{au}\cdot \text{m}_\text{P}\cdot
\tau$ |
| Jupiter distance |
$5.638379(62) \times
10^{47}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{m}_\text{P}\cdot \tau\cdot
2^{6}3\cdot 5^{6}259493$ |
| light-year |
$6.852232(76) \times
10^{51}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\text{a}_\text{j}\cdot
\text{m}_\text{P}\cdot \tau\cdot
2^{7}3^{3}5^{2}$ |
| parsec |
$2.234899(25) \times
10^{52}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\text{c}\cdot
\alpha^{-1/2}\text{au}\cdot \text{m}_\text{P}\cdot
2^{7}3^{4}5^{3}$ |
| Name |
Stoney |
Product |
| gram |
$537863.2(59)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$ |
| Earth gram |
$540203.2(60)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$ |
| kilogram |
$5.378632(59) \times
10^{8}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{m}_\text{P}^{-1}$ |
| tonne |
$5.378632(59) \times
10^{11}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{3}5^{3}$ |
| ton |
$4.879413(54) \times
10^{11}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{lb}\cdot
\text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| pound (mass) |
$2.439706(27) \times
10^{8}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{lb}\cdot
\text{m}_\text{P}^{-1}$ |
| ounce |
$1.524817(17) \times
10^{7}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{lb}\cdot
\text{m}_\text{P}^{-1}2^{-4}$ |
| grain |
$34852.95(38)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{lb}\cdot
\text{m}_\text{P}^{-1}2^{-3}5^{-3}7^{-1}$ |
| slug |
$7.849523(87) \times
10^{9}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}$ |
| slinch |
$9.41943(10) \times
10^{10}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}2^{2}3$ |
| hyl |
$5.274636(58) \times
10^{9}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0\cdot
\text{m}_\text{P}^{-1}$ |
| Name |
Stoney |
Product |
| erg |
$5.984535(66) \times
10^{-16}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$ |
| joule |
$5.984535(66) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}$ |
| foot-pound |
$8.113940(89) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{g}_0\cdot
\text{ft}\cdot \text{lb}\cdot
\text{m}_\text{P}^{-1}$ |
| calorie |
$2.505568(28) \times
10^{-8}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot
43^{-1}$ |
| kilocalorie |
$2.505568(28) \times
10^{-5}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}3^{2}5^{4}43^{-1}$ |
| mean calorie |
$2.505630(28) \times
10^{-8}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot
43^{-1}1.0001900224889804$ |
| Earth calorie |
$2.516468(28) \times
10^{-8}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}3^{2}5^{-20}43^{-1}$ |
| thermal unit |
$6.313924(70) \times
10^{-6}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{lb}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}5^{5}43^{-1}$ |
| gas gallon |
$0.7197874(79)$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\text{lb}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{9}3\cdot
5^{8}19\cdot 43^{-1}$ |
| ton TNT |
$25.05568(28)$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\alpha^{-1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{11}3^{2}5^{10}43^{-1}$ |
| electronvolt |
$9.58828(11) \times
10^{-28}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{e}\cdot
\alpha^{-1/2}\text{m}_\text{P}^{-1}$ |
| Name |
Stoney |
Product |
| Kelvin |
$8.262543(91) \times
10^{-32}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| Rankine |
$4.590301(51) \times
10^{-32}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}$ |
| Celsius |
$2.256914(25) \times
10^{-29}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{T}_0\cdot
\text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| Fahrenheit |
$2.110024(23) \times
10^{-29}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}459.67$ |
| sea level |
$2.380852(26) \times
10^{-29}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}288.15$ |
| boiling |
$3.083035(34) \times
10^{-29}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}373.1339$ |
| mole |
$537863.2(59)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$ |
| Earth-mole |
$540203.2(60)$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$ |
| pound-mole |
$2.439706(27) \times
10^{8}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{lb}\cdot
\text{m}_\text{P}^{-1}$ |
| slug-mole |
$7.849523(87) \times
10^{9}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}$ |
| slinch-mole |
$9.41943(10) \times
10^{10}$
$\left[\text{M}\right]$ |
$\alpha^{-1/2}\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}2^{2}3$ |
| katal |
$2.477101(55) \times
10^{-39}$ $\left[\text{M}\cdot
\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-2}\tau^{-1}2^{-3}5^{-3}$ |
| amagat |
$6.31584(28) \times
10^{-101}$ $\left[\text{M}\cdot
\text{T}^{-3}\right]$ |
$\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot
\alpha^{-1}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot
\text{m}_\text{P}^{-4}\tau^{-3}2$ |
| Name |
Stoney |
Product |
| lumen |
$4.035238(89) \times
10^{-56}$
$\left[\text{J}\right]$ |
$\hbar\cdot
\text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| candela |
$4.035238(89) \times
10^{-56}$
$\left[\text{J}\right]$ |
$\hbar\cdot
\text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| lux |
$7.69227(34) \times
10^{-128}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-3}$ |
| phot |
$7.69227(34) \times
10^{-124}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$ |
| foot-candle |
$8.27989(37) \times
10^{-127}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| nit |
$7.69227(34) \times
10^{-128}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-3}$ |
| apostilb |
$2.44852(11) \times
10^{-128}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-4}2$ |
| stilb |
$7.69227(34) \times
10^{-124}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$ |
| lambert |
$2.44852(11) \times
10^{-124}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-4}2^{5}5^{4}$ |
| foot-lambert |
$2.63557(12) \times
10^{-127}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-4}2$ |
| bril |
$2.44852(11) \times
10^{-135}$
$\left[\text{T}^{-2}\text{J}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-4}2^{-6}5^{-7}$ |
| talbot |
$8.761878(97) \times
10^{-12}$ $\left[\text{T}\cdot
\text{J}\right]$ |
$\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-1/2}\text{m}_\text{P}^{-1}$ |
| lumerg |
$8.761878(97) \times
10^{-19}$ $\left[\text{T}\cdot
\text{J}\right]$ |
$\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$ |
| Name |
Stoney |
Product |
| hertz |
$4.605448(51) \times
10^{-45}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| actions per minute |
$7.675747(85) \times
10^{-47}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}3^{-1}5^{-1}$ |
| revolutions per
minute |
$4.822814(53) \times
10^{-46}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}2^{-2}3^{-1}5^{-1}$ |
| kayser |
$1.380679(15) \times
10^{-34}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-1}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{2}5^{2}$ |
| diopter |
$1.380679(15) \times
10^{-36}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-1}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| rayleigh |
$4.139171(46) \times
10^{-18}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{10}5^{10}$ |
| flick |
$7.25404(40) \times
10^{-151}$ $\left[\text{M}\cdot
\text{T}^{-4}\right]$ |
$\hbar^{4}\text{c}^{-7}\alpha^{3/2}\text{m}_\text{P}^{-5}\tau^{-4}2^{10}5^{10}$ |
| g-force |
$1.506510(17) \times
10^{-52}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot
\text{m}_\text{P}^{-1}\tau^{-1}$ |
| galileo |
$1.536212(17) \times
10^{-55}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-3}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}5^{-2}$ |
| eotvos |
$2.121015(47) \times
10^{-98}$
$\left[\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-4}\alpha\cdot
\text{m}_\text{P}^{-2}\tau^{-2}2^{-9}5^{-9}$ |
| darcy |
$5.17724(11) \times
10^{59}$
$\left[\text{T}^{2}\right]$ |
$\hbar^{-2}\text{c}^{2}\alpha^{-1}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{-7}5^{-7}$ |
| poise |
$3.42008(11) \times
10^{-73}$ $\left[\text{M}\cdot
\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-3}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-1}5^{-1}$ |
| reyn |
$2.358063(78) \times
10^{-68}$ $\left[\text{M}\cdot
\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-3}\alpha^{1/2}\text{g}_0\cdot
\text{ft}^{-2}\text{lb}\cdot
\text{m}_\text{P}^{-3}\tau^{-2}2^{4}3^{2}$ |
| stokes |
$2.415943(27) \times
10^{23}$
$\left[\text{T}\right]$ |
$\hbar^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot
\tau\cdot 2^{-4}5^{-4}$ |
| rayl |
$4.72203(21) \times
10^{-108}$ $\left[\text{M}\cdot
\text{T}^{-3}\right]$ |
$\hbar^{3}\text{c}^{-4}\alpha\cdot
\text{m}_\text{P}^{-4}\tau^{-3}$ |
| mpg equivalent |
$1.619392(36) \times
10^{39}$
$\left[\text{M}^{-1}\text{T}\right]$ |
$\hbar^{-1}\text{c}^{3}\text{ft}\cdot
\text{lb}^{-1}\Omega_\text{it}\cdot
\text{V}_\text{it}^{-2}\text{m}_\text{P}^{2}\tau\cdot
2^{-4}5^{-7}11\cdot 19^{-1}43$ |
| langley |
$4.77630(16) \times
10^{-76}$ $\left[\text{M}\cdot
\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-2}2^{6}3^{2}5^{5}43^{-1}$ |
| jansky |
$1.140816(38) \times
10^{-106}$ $\left[\text{M}\cdot
\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-26}5^{-26}$ |
| solar flux |
$1.140816(38) \times
10^{-102}$ $\left[\text{M}\cdot
\text{T}^{-2}\right]$ |
$\hbar^{2}\text{c}^{-4}\alpha^{1/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-22}5^{-22}$ |
| curie |
$1.704016(19) \times
10^{-34}$
$\left[\text{T}^{-1}\right]$ |
$\hbar\cdot
\text{c}^{-2}\alpha^{1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{9}5^{9}37$ |
| gray |
$1.1126500560536183
\times 10^{-17}$
$\left[\mathbb{1}\right]$ |
$\text{c}^{-2}$ |
| roentgen |
$2.993633(33) \times
10^{6}$
$\left[\text{M}^{-1}\text{Q}\right]$ |
$\hbar^{-1/2}\text{c}^{-1/2}\text{m}_\text{P}\cdot
\tau^{1/2}2^{3/2}5^{3/2}/1.293$ |
| Stoney |
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
$\left[F^{-1}MLT^{-2}\right]$,
specificenergy $\left[FM^{-1}L\right]$,
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
$\left[FLN^{-1}\right]$ |
|
$\text{T}$ |
time
$\left[T\right]$, angulartime
$\left[TA^{-1}\right]$, length
$\left[L\right]$, angularlength
$\left[LA^{-1}\right]$, diffusivity
$\left[L^{2}T^{-1}\right]$,
thermalresistance
$\left[F^{-1}L^{-1}TΘ\right]$ |
|
$\text{T}^{2}$ |
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
$\left[F^{-1}TΘ\right]$ |
|
$\text{T}^{3}$ |
volume
$\left[L^{3}\right]$,
magneticpolarizability
$\left[L^{3}A^{-1}R^{-1}\right]$ |
|
$\text{T}^{-1}$ |
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
$\left[L^{-2}TA^{-2}\right]$,
specificforce $\left[FM^{-1}\right]$,
thermalconductance
$\left[FLT^{-1}Θ^{-1}\right]$ |
|
$\text{T}^{-2}$ |
fuelefficiency
$\left[L^{-2}\right]$, frequencydrift
$\left[T^{-2}\right]$, jerk
$\left[LT^{-3}\right]$,
thermalconductivity
$\left[FT^{-1}Θ^{-1}\right]$ |
|
$\text{T}^{-3}$ |
numberdensity
$\left[L^{-3}\right]$, snap
$\left[LT^{-4}\right]$, volumeheatcapacity
$\left[FL^{-2}Θ^{-1}\right]$ |
|
$\text{T}^{-4}$ |
crackle
$\left[LT^{-5}\right]$ |
|
$\text{T}^{-5}$ |
pop
$\left[LT^{-6}\right]$ |
|
$\text{M}$ |
inertia
$\left[FL^{-1}T^{2}\right]$, mass
$\left[M\right]$, impulse
$\left[FT\right]$, momentum
$\left[MLT^{-1}\right]$, energy
$\left[FL\right]$, temperature
$\left[Θ\right]$, molaramount
$\left[N\right]$ |
| $\text{M}\cdot
\text{T}^{-1}$ |
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 $\left[FL^{-1}T\right]$,
lapserate $\left[L^{-1}Θ\right]$,
catalysis $\left[T^{-1}N\right]$,
diffusionflux $\left[L^{-2}TN\right]$ |
| $\text{M}\cdot
\text{T}^{-2}$ |
areadensity
$\left[ML^{-2}\right]$, viscosity
$\left[FL^{-2}T\right]$, yank
$\left[MLT^{-3}\right]$, fluence
$\left[FL^{-1}\right]$, spectralflux
$\left[FT^{-1}\right]$ |
| $\text{M}\cdot
\text{T}^{-3}$ |
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 $\left[L^{-3}N\right]$ |
| $\text{M}\cdot
\text{T}^{-4}$ |
specificweight
$\left[FL^{-3}\right]$, powerdensity
$\left[FL^{-2}T^{-1}\right]$, inertance
$\left[ML^{-4}\right]$ |
|
$\text{M}^{-1}\text{T}^{3}$ |
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
$\left[L^{3}N^{-1}A^{-1}R^{-1}\right]$ |
| $\text{M}\cdot
\text{T}^{2}$ |
rotationalinertia
$\left[ML^{2}\right]$ |
| $\text{M}\cdot
\text{T}$ |
angularmomentum
$\left[FLTA^{-1}\right]$, action
$\left[FLT\right]$ |
|
$\text{M}^{2}\text{T}^{-5}$ |
soundexposure
$\left[F^{2}L^{-4}T\right]$ |
| $\text{M}\cdot
\text{T}^{-5}$ |
impedance
$\left[FL^{-5}T\right]$ |
|
$\text{M}^{-1}\text{T}^{5}$ |
admittance
$\left[F^{-1}L^{5}T^{-1}\right]$ |
|
$\text{M}^{-1}\text{T}^{2}$ |
compliance
$\left[M^{-1}T^{2}\right]$, specificity
$\left[L^{3}T^{-1}N^{-1}\right]$ |
|
$\text{e}$ |
charge
$\left[Q\right]$, polestrength
$\left[LT^{-1}QA^{-1}C^{-1}\right]$ |
|
$\text{T}^{-3}\text{Q}$ |
chargedensity
$\left[L^{-3}Q\right]$, currentdensity
$\left[L^{-2}T^{-1}Q\right]$ |
|
$\text{T}^{-1}\text{Q}$ |
linearchargedensity
$\left[L^{-1}Q\right]$, current
$\left[T^{-1}Q\right]$, magneticpotential
$\left[T^{-1}QRC^{-1}\right]$ |
|
$\text{M}^{-1}\text{Q}$ |
exposure
$\left[M^{-1}Q\right]$ |
| $\text{M}\cdot
\text{T}\cdot \text{Q}^{-1}$ |
mobility
$\left[FL^{3}T^{-1}Q^{-1}\right]$,
electricflux $\left[FL^{2}Q^{-1}\right]$,
magneticflux
$\left[FLTQ^{-1}C\right]$ |
| $\text{M}\cdot
\text{T}\cdot \text{Q}^{-2}$ |
resistance
$\left[FLTQ^{-2}\right]$, permeability
$\left[FT^{2}Q^{-2}R^{-1}C^{2}\right]$ |
|
$\text{M}^{-1}\text{T}^{-1}\text{Q}^{2}$ |
conductance
$\left[F^{-1}L^{-1}T^{-1}Q^{2}\right]$,
permittivity
$\left[F^{-1}L^{-2}Q^{2}R\right]$ |
| $\text{M}\cdot
\text{T}^{2}\text{Q}^{-2}$ |
resistivity
$\left[FL^{2}TQ^{-2}\right]$, inductance
$\left[FLT^{2}Q^{-2}\right]$, permeance
$\left[FLT^{2}Q^{-2}R^{-1}C^{2}\right]$ |
|
$\text{M}^{-1}\text{T}^{-2}\text{Q}^{2}$ |
conductivity
$\left[F^{-1}L^{-2}T^{-1}Q^{2}\right]$,
reluctance
$\left[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}\right]$ |
|
$\text{M}^{-1}\text{Q}^{2}$ |
capacitance
$\left[F^{-1}L^{-1}Q^{2}\right]$ |
| $\text{M}\cdot
\text{Q}^{-1}$ |
vectorpotential
$\left[FTQ^{-1}C\right]$,
electricpotential
$\left[FLQ^{-1}\right]$ |
| $\text{M}\cdot
\text{T}^{-1}\text{Q}^{-1}$ |
electricfield
$\left[FQ^{-1}\right]$,
magneticfluxdensity
$\left[FL^{-1}TQ^{-1}C\right]$ |
|
$\text{T}^{-2}\text{Q}$ |
magneticfield
$\left[L^{-1}T^{-1}QRC^{-1}\right]$,
electricdisplacement
$\left[L^{-2}QR\right]$,
specificmagnetization
$\left[F^{-1}ML^{-2}T^{-1}QC^{-1}\right]$ |
| $\text{T}\cdot
\text{Q}$ |
electricdipolemoment
$\left[LQ\right]$, magneticdipolemoment
$\left[L^{2}T^{-1}QA^{-1}C^{-1}\right]$ |
|
$\text{M}^{-1}\text{T}^{2}\text{Q}^{2}$ |
electricpolarizability
$\left[F^{-1}LQ^{2}\right]$ |
| $\text{M}\cdot
\text{T}^{2}\text{Q}^{-1}$ |
magneticmoment
$\left[FL^{2}TQ^{-1}C\right]$ |
|
$\text{M}^{-1}$ |
specificentropy
$\left[FM^{-1}LΘ^{-1}\right]$,
thermalexpansion $\left[Θ^{-1}\right]$,
molarentropy
$\left[FLΘ^{-1}N^{-1}\right]$ |
|
$\text{M}^{-2}\text{Q}^{2}$ |
molarconductivity
$\left[F^{-1}T^{-1}Q^{2}N^{-1}\right]$ |
|
$\text{J}$ |
luminousflux
$\left[J\right]$, luminousintensity
$\left[JA^{-2}\right]$ |
|
$\text{T}^{-2}\text{J}$ |
luminance
$\left[L^{-2}JA^{-2}\right]$, illuminance
$\left[L^{-2}J\right]$ |
| $\text{T}\cdot
\text{J}$ |
luminousenergy
$\left[TJ\right]$ |
|
$\text{T}^{-1}\text{J}$ |
luminousexposure
$\left[L^{-2}TJ\right]$ |
|
$\text{M}^{-1}\text{T}\cdot \text{J}$ |
luminousefficacy
$\left[F^{-1}L^{-1}TJ\right]$ |
