$ \text{F}=M^{2}, \text{M}, \text{L}=M^{-1},
\text{T}=M^{-1}, \text{Q}=\mathbb{1}, \Theta=M, \text{N}=M,
\text{J}=M^{2}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1},
\text{C}=\mathbb{1} $
| Name |
Planck |
Product |
| hyperfine transition |
$1.756847(19) \times
10^{-33}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\Delta\nu_\text{Cs}\cdot
\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| light speed |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Planck |
$6.283185307179586$
$\left[\mathbb{1}\right]$ |
$\tau$ |
| Planck reduced |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| electron mass |
$1.483708(16) \times
10^{-22}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$ |
| molar mass |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Boltzmann |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| vacuum permeability |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| rationalization |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| Lorentz |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| luminous efficacy |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| gravity |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| radian |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| turn |
$6.283185307179586$
$\left[\mathbb{1}\right]$ |
$\tau$ |
| spat |
$12.566370614359172$
$\left[\mathbb{1}\right]$ |
$\tau\cdot
2$ |
| Dalton |
$2.704634(30) \times
10^{-19}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$ |
| proton mass |
$2.724314(30) \times
10^{-19}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$ |
| Planck mass |
$3.5449077018110318$
$\left[\text{M}\right]$ |
$\tau^{1/2}2^{1/2}$ |
| Newton gravitation |
$0.07957747154594767$
$\left[\text{M}^{-2}\right]$ |
$\tau^{-1}2^{-1}$ |
| Gauss gravitation |
$3.805063(42) \times
10^{-50}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{k}_\text{G}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{-27/2}3^{-7}5^{-5}$ |
| Einstein gravitation |
$2.0$
$\left[\text{M}^{-2}\right]$ |
$2$ |
| Hartree |
$7.900946(87) \times
10^{-27}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{3/2}$ |
| Rydberg |
$6.287373(69) \times
10^{-28}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{R}_{\infty}\cdot
\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| Bohr radius |
$9.23605(10) \times
10^{23}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha\cdot
\text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$ |
| electron radius |
$4.918321(54) \times
10^{19}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{3}\text{m}_\text{P}\cdot
\tau^{-1/2}2^{-3/2}$ |
| Avogadro |
$3.697358(41) \times
10^{18}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$ |
| Molar gas |
$3.697358(41) \times
10^{18}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot \tau^{-1/2}2^{-3/2}$ |
| Stefan-Boltzmann |
$0.16449340668482262$
$\left[\mathbb{1}\right]$ |
$\tau^{2}2^{-4}3^{-1}5^{-1}$ |
| radiation density |
$0.6579736267392905$
$\left[\mathbb{1}\right]$ |
$\tau^{2}2^{-2}3^{-1}5^{-1}$ |
| vacuum permittivity |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| electrostatic |
$0.07957747154594767$
$\left[\mathbb{1}\right]$ |
$\tau^{-1}2^{-1}$ |
| magnetostatic |
$0.07957747154594767$
$\left[\mathbb{1}\right]$ |
$\tau^{-1}2^{-1}$ |
| Biot-Savart |
$0.07957747154594767$
$\left[\mathbb{1}\right]$ |
$\tau^{-1}2^{-1}$ |
| elementary charge |
$0.302822120872(23)$
$\left[\mathbb{1}\right]$ |
$\alpha^{1/2}\tau^{1/2}2^{1/2}$ |
| Faraday |
$1.119642(12) \times
10^{18}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot
\text{m}_\text{P}\cdot 2^{-1}$ |
| vacuum impedance |
$1.0$
$\left[\mathbb{1}\right]$ |
$1$ |
| conductance quantum |
$0.0291894102771(45)$
$\left[\mathbb{1}\right]$ |
$\alpha\cdot
2^{2}$ |
| Klitzing |
$68.517999542(10)$
$\left[\mathbb{1}\right]$ |
$\alpha^{-1}2^{-1}$ |
| Josephson |
$0.0963912748286(74)$
$\left[\mathbb{1}\right]$ |
$\alpha^{1/2}\tau^{-1/2}2^{3/2}$ |
| magnetic flux
quantum |
$10.374382969600(79)$
$\left[\mathbb{1}\right]$ |
$\alpha^{-1/2}\tau^{1/2}2^{-3/2}$ |
| magneton |
$1.020491(11) \times
10^{21}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot
2^{-2}$ |
| Loschmidt |
$5.05332(17) \times
10^{-78}$
$\left[\text{M}^{3}\right]$ |
$\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\text{T}_0^{-1}\text{atm}\cdot
\text{m}_\text{P}^{-3}\tau^{-3/2}2^{3/2}$ |
| mechanical heat |
$1.861800(21) \times
10^{18}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{c}\cdot
\text{R}_{\infty}^{-1}\alpha^{2}\mu_\text{eu}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}\cdot
\tau^{-1/2}2^{1/2}3^{2}5\cdot 43^{-1}$ |
| Wien wavelength |
$1.2654664150541133$
$\left[\mathbb{1}\right]$ |
$\tau/4.965114231744276$ |
| Wien frequency |
$0.44904602270732236$
$\left[\mathbb{1}\right]$ |
$\tau^{-1}2.8214393721220787$ |
| Sackur-Tetrode |
$-1.1648705244(12)$
$\left[\mathbb{1}\right]$ |
|
| Eddington |
$4.161(31) \times
10^{60}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot
\text{m}_\text{P}\cdot
2^{19/2}3^{7/2}5^{6}$ |
| solar mass |
$3.238659(36) \times
10^{38}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot
\tau^{7/2}2^{-55/2}3^{-14}5^{-10}$ |
| Jupiter mass |
$3.091605(34) \times
10^{35}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot
\text{GM}_\text{J}\cdot \tau^{3/2}2^{1/2}$ |
| Earth mass |
$9.72728(11) \times
10^{32}$
$\left[\text{M}\right]$ |
$\hbar^{-1}\text{c}^{-1}\text{m}_\text{P}\cdot
\text{GM}_\text{E}\cdot \tau^{3/2}2^{1/2}$ |
| g-force |
$6.251643(69) \times
10^{-51}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-3}\text{g}_0\cdot
\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| Earth radius |
$1.112740(12) \times
10^{41}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{1/2}2^{-1/2}$ |
| great circle |
$6.991551(77) \times
10^{41}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-1/2}$ |
| nautical mile |
$3.236829(36) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-11/2}3^{-3}5^{-2}$ |
| Hubble |
$4.191(26) \times
10^{-61}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{H}_0\cdot
\text{au}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-19/2}3^{-4}5^{-6}$ |
| cosmological |
$3.629(54) \times
10^{-121}$
$\left[\text{M}^{2}\right]$ |
$\hbar^{2}\text{c}^{-4}\Omega_{\Lambda}\cdot
\text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-2}\tau\cdot
2^{-19}3^{-7}5^{-12}$ |
| Name |
Planck |
Product |
| angstrom |
$1.745360(19) \times
10^{24}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot
\tau^{1/2}2^{-21/2}5^{-10}$ |
| inch |
$4.433215(49) \times
10^{32}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}\cdot
\text{m}_\text{P}\cdot
\tau^{1/2}2^{-5/2}3^{-1}$ |
| foot |
$5.319858(59) \times
10^{33}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$ |
| survey foot |
$5.319869(59) \times
10^{33}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$ |
| yard |
$1.595958(18) \times
10^{34}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}3$ |
| meter |
$1.745360(19) \times
10^{34}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot
\tau^{1/2}2^{-1/2}$ |
| Earth meter |
$1.747888(19) \times
10^{34}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-19/2}5^{-7}$ |
| mile |
$2.808885(31) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{9/2}3\cdot 5\cdot
11$ |
| statute mile |
$2.808891(31) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}_\text{US}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{9/2}3\cdot 5\cdot
11$ |
| meridian mile |
$3.232149(36) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot
\tau^{1/2}2^{7/2}3^{-3}5^{5}$ |
| admiralty mile |
$3.234474(36) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{ft}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{11/2}5\cdot
19$ |
| nautical mile |
$3.236829(36) \times
10^{37}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot
\text{g}_0^{-1/2}\text{m}_\text{P}\cdot
\text{GM}_\text{E}^{1/2}\tau^{3/2}2^{-11/2}3^{-3}5^{-2}$ |
| lunar distance |
$6.709148(74) \times
10^{42}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot
\tau^{1/2}2^{5/2}3^{3}5^{3}14237$ |
| astronomical unit |
$2.611022(29) \times
10^{45}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{au}\cdot
\text{m}_\text{P}\cdot \tau^{1/2}2^{-1/2}$ |
| Jupiter distance |
$1.358726(15) \times
10^{46}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{m}_\text{P}\cdot
\tau^{1/2}2^{11/2}3\cdot 5^{6}259493$ |
| light-year |
$1.651238(18) \times
10^{50}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}^{2}\text{a}_\text{j}\cdot
\text{m}_\text{P}\cdot
\tau^{1/2}2^{13/2}3^{3}5^{2}$ |
| parsec |
$5.385619(59) \times
10^{50}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{c}\cdot \text{au}\cdot
\text{m}_\text{P}\cdot
\tau^{-1/2}2^{13/2}3^{4}5^{3}$ |
| Name |
Planck |
Product |
| gram |
$162876.9(18)$
$\left[\text{M}\right]$ |
$\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}$ |
| Earth gram |
$163585.5(18)$
$\left[\text{M}\right]$ |
$\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-59/2}5^{-24}$ |
| kilogram |
$1.628769(18) \times
10^{8}$
$\left[\text{M}\right]$ |
$\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| tonne |
$1.628769(18) \times
10^{11}$
$\left[\text{M}\right]$ |
$\text{m}_\text{P}^{-1}\tau^{1/2}2^{7/2}5^{3}$ |
| ton |
$1.477594(16) \times
10^{11}$
$\left[\text{M}\right]$ |
$\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$ |
| pound (mass) |
$7.387971(81) \times
10^{7}$
$\left[\text{M}\right]$ |
$\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| ounce |
$4.617482(51) \times
10^{6}$
$\left[\text{M}\right]$ |
$\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{-7/2}$ |
| grain |
$10554.24(12)$
$\left[\text{M}\right]$ |
$\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}7^{-1}$ |
| slug |
$2.377009(26) \times
10^{9}$
$\left[\text{M}\right]$ |
$\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| slinch |
$2.852411(31) \times
10^{10}$
$\left[\text{M}\right]$ |
$\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3$ |
| hyl |
$1.597277(18) \times
10^{9}$
$\left[\text{M}\right]$ |
$\text{g}_0\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| Name |
Planck |
Product |
| erg |
$1.812250(20) \times
10^{-16}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-13/2}5^{-7}$ |
| joule |
$1.812250(20) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| foot-pound |
$2.457081(27) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{g}_0\cdot \text{ft}\cdot
\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| calorie |
$7.587413(84) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3^{2}5\cdot
43^{-1}$ |
| kilocalorie |
$7.587413(84) \times
10^{-6}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{11/2}3^{2}5^{4}43^{-1}$ |
| mean calorie |
$7.587603(84) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3^{2}5\cdot
43^{-1}1.0001900224889804$ |
| Earth calorie |
$7.620422(84) \times
10^{-9}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-49/2}3^{2}5^{-20}43^{-1}$ |
| thermal unit |
$1.911996(21) \times
10^{-6}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{lb}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{11/2}5^{5}43^{-1}$ |
| gas gallon |
$0.2179675(24)$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{lb}\cdot
\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{19/2}3\cdot
5^{8}19\cdot 43^{-1}$ |
| ton TNT |
$7.587413(84)$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{23/2}3^{2}5^{10}43^{-1}$ |
| electronvolt |
$2.903544(32) \times
10^{-28}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{e}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| Name |
Planck |
Product |
| Kelvin |
$2.502081(28) \times
10^{-32}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$ |
| Rankine |
$1.390045(15) \times
10^{-32}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}3^{-2}5^{4}$ |
| Celsius |
$6.834433(75) \times
10^{-30}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}$ |
| Fahrenheit |
$6.389619(70) \times
10^{-30}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}3^{-2}5^{4}459.67$ |
| sea level |
$7.209745(80) \times
10^{-30}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}288.15$ |
| boiling |
$9.33611(10) \times
10^{-30}$
$\left[\text{M}\right]$ |
$\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot
\hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{9/2}5^{3}373.1339$ |
| mole |
$162876.9(18)$
$\left[\text{M}\right]$ |
$\text{m}_\text{P}^{-1}\tau^{1/2}2^{-5/2}5^{-3}$ |
| Earth-mole |
$163585.5(18)$
$\left[\text{M}\right]$ |
$\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{7/2}2^{-59/2}5^{-24}$ |
| pound-mole |
$7.387971(81) \times
10^{7}$
$\left[\text{M}\right]$ |
$\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| slug-mole |
$2.377009(26) \times
10^{9}$
$\left[\text{M}\right]$ |
$\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| slinch-mole |
$2.852411(31) \times
10^{10}$
$\left[\text{M}\right]$ |
$\text{g}_0\cdot
\text{ft}^{-1}\text{lb}\cdot
\text{m}_\text{P}^{-1}\tau^{1/2}2^{5/2}3$ |
| katal |
$3.112817(69) \times
10^{-38}$
$\left[\text{M}^{2}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-2}2^{-2}5^{-3}$ |
| amagat |
$1.366738(60) \times
10^{-96}$
$\left[\text{M}^{4}\right]$ |
$\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot
\alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot
\text{m}_\text{P}^{-4}\tau^{-1}2^{3}$ |
| Name |
Planck |
Product |
| lumen |
$5.07083(11) \times
10^{-55}$
$\left[\text{M}^{2}\right]$ |
$\hbar\cdot
\text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}2$ |
| candela |
$5.07083(11) \times
10^{-55}$
$\left[\text{M}^{2}\right]$ |
$\hbar\cdot
\text{c}^{-4}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-2}2$ |
| lux |
$1.664596(73) \times
10^{-123}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$ |
| phot |
$1.664596(73) \times
10^{-119}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{6}5^{4}$ |
| foot-candle |
$1.791756(79) \times
10^{-122}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$ |
| nit |
$1.664596(73) \times
10^{-123}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$ |
| apostilb |
$5.29857(23) \times
10^{-124}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{3}$ |
| stilb |
$1.664596(73) \times
10^{-119}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-1}2^{6}5^{4}$ |
| lambert |
$5.29857(23) \times
10^{-120}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{7}5^{4}$ |
| foot-lambert |
$5.70334(25) \times
10^{-123}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-2}2^{3}$ |
| bril |
$5.29857(23) \times
10^{-131}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-4}\tau^{-2}2^{-4}5^{-7}$ |
| talbot |
$2.653290(29) \times
10^{-12}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{1/2}$ |
| lumerg |
$2.653290(29) \times
10^{-19}$
$\left[\text{M}\right]$ |
$\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-13/2}5^{-7}$ |
| Name |
Planck |
Product |
| hertz |
$1.911147(21) \times
10^{-43}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| actions per minute |
$3.185246(35) \times
10^{-45}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-3/2}3^{-1}5^{-1}$ |
| revolutions per
minute |
$2.001349(22) \times
10^{-44}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{1/2}2^{-3/2}3^{-1}5^{-1}$ |
| kayser |
$5.729476(63) \times
10^{-33}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{5/2}5^{2}$ |
| diopter |
$5.729476(63) \times
10^{-35}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-1}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| rayleigh |
$1.717654(19) \times
10^{-16}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{m}_\text{P}^{-1}\tau^{-1/2}2^{21/2}5^{10}$ |
| flick |
$6.51414(36) \times
10^{-145}$
$\left[\text{M}^{5}\right]$ |
$\hbar^{4}\text{c}^{-7}\text{m}_\text{P}^{-5}\tau^{-3/2}2^{25/2}5^{10}$ |
| g-force |
$6.251643(69) \times
10^{-51}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-3}\text{g}_0\cdot
\text{m}_\text{P}^{-1}\tau^{-1/2}2^{1/2}$ |
| galileo |
$6.374902(70) \times
10^{-54}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-3}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-3/2}5^{-2}$ |
| eotvos |
$3.652484(81) \times
10^{-95}$
$\left[\text{M}^{2}\right]$ |
$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-2}\tau^{-1}2^{-8}5^{-9}$ |
| darcy |
$3.006447(66) \times
10^{56}$
$\left[\text{M}^{-2}\right]$ |
$\hbar^{-2}\text{c}^{2}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau\cdot
2^{-8}5^{-7}$ |
| poise |
$1.783481(59) \times
10^{-70}$
$\left[\text{M}^{3}\right]$ |
$\hbar^{2}\text{c}^{-3}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{1/2}5^{-1}$ |
| reyn |
$1.229667(41) \times
10^{-65}$
$\left[\text{M}^{3}\right]$ |
$\hbar^{2}\text{c}^{-3}\text{g}_0\cdot
\text{ft}^{-2}\text{lb}\cdot
\text{m}_\text{P}^{-3}\tau^{-1/2}2^{11/2}3^{2}$ |
| stokes |
$5.821896(64) \times
10^{21}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1}\text{m}_\text{P}\cdot
\tau^{1/2}2^{-9/2}5^{-4}$ |
| rayl |
$1.021841(45) \times
10^{-103}$
$\left[\text{M}^{4}\right]$ |
$\hbar^{3}\text{c}^{-4}\text{m}_\text{P}^{-4}\tau^{-1}2^{2}$ |
| mpg equivalent |
$1.288671(28) \times
10^{38}$
$\left[\text{M}^{-2}\right]$ |
$\hbar^{-1}\text{c}^{3}\text{ft}\cdot
\text{lb}^{-1}\Omega_\text{it}\cdot
\text{V}_\text{it}^{-2}\text{m}_\text{P}^{2}2^{-5}5^{-7}11\cdot
19^{-1}43$ |
| langley |
$2.490712(82) \times
10^{-73}$
$\left[\text{M}^{3}\right]$ |
$\hbar^{2}\text{c}^{-4}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{15/2}3^{2}5^{5}43^{-1}$ |
| jansky |
$5.94905(20) \times
10^{-104}$
$\left[\text{M}^{3}\right]$ |
$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{-49/2}5^{-26}$ |
| solar flux |
$5.94905(20) \times
10^{-100}$
$\left[\text{M}^{3}\right]$ |
$\hbar^{2}\text{c}^{-4}\text{m}_\text{P}^{-3}\tau^{-1/2}2^{-41/2}5^{-22}$ |
| curie |
$7.071245(78) \times
10^{-33}$
$\left[\text{M}\right]$ |
$\hbar\cdot
\text{c}^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{19/2}5^{9}37$ |
| gray |
$1.1126500560536183
\times 10^{-17}$
$\left[\mathbb{1}\right]$ |
$\text{c}^{-2}$ |
| roentgen |
$2.993633(33) \times
10^{6}$
$\left[\text{M}^{-1}\right]$ |
$\hbar^{-1/2}\text{c}^{-1/2}\text{m}_\text{P}\cdot
\tau^{1/2}2^{3/2}5^{3/2}/1.293$ |
| Planck |
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 $\left[FLT\right]$, charge
$\left[Q\right]$, mobility
$\left[FL^{3}T^{-1}Q^{-1}\right]$,
resistance $\left[FLTQ^{-2}\right]$,
conductance
$\left[F^{-1}L^{-1}T^{-1}Q^{2}\right]$,
permittivity
$\left[F^{-1}L^{-2}Q^{2}R\right]$,
permeability
$\left[FT^{2}Q^{-2}R^{-1}C^{2}\right]$,
susceptibility $\left[R^{-1}\right]$,
demagnetizingfactor $\left[R\right]$,
electricflux $\left[FL^{2}Q^{-1}\right]$,
magneticflux $\left[FLTQ^{-1}C\right]$,
polestrength
$\left[LT^{-1}QA^{-1}C^{-1}\right]$,
entropy $\left[FLΘ^{-1}\right]$, molarmass
$\left[MN^{-1}\right]$, molality
$\left[M^{-1}N\right]$, molarenergy
$\left[FLN^{-1}\right]$, luminousefficacy
$\left[F^{-1}L^{-1}TJ\right]$ |
|
$\text{M}^{-1}$ |
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 $\left[ML^{2}\right]$,
exposure $\left[M^{-1}Q\right]$,
resistivity $\left[FL^{2}TQ^{-2}\right]$,
capacitance
$\left[F^{-1}L^{-1}Q^{2}\right]$,
inductance $\left[FLT^{2}Q^{-2}\right]$,
permeance
$\left[FLT^{2}Q^{-2}R^{-1}C^{2}\right]$,
electricdipolemoment $\left[LQ\right]$,
magneticdipolemoment
$\left[L^{2}T^{-1}QA^{-1}C^{-1}\right]$,
magneticmoment
$\left[FL^{2}TQ^{-1}C\right]$,
specificentropy
$\left[FM^{-1}LΘ^{-1}\right]$,
thermalresistance
$\left[F^{-1}L^{-1}TΘ\right]$,
thermalexpansion $\left[Θ^{-1}\right]$,
molarentropy
$\left[FLΘ^{-1}N^{-1}\right]$ |
|
$\text{M}^{-2}$ |
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
$\left[F^{-1}TΘ\right]$, molarconductivity
$\left[F^{-1}T^{-1}Q^{2}N^{-1}\right]$ |
|
$\text{M}^{-3}$ |
volume
$\left[L^{3}\right]$, compliance
$\left[M^{-1}T^{2}\right]$,
electricpolarizability
$\left[F^{-1}LQ^{2}\right]$,
magneticpolarizability
$\left[L^{3}A^{-1}R^{-1}\right]$,
specificity
$\left[L^{3}T^{-1}N^{-1}\right]$ |
|
$\text{M}$ |
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
$\left[FL\right]$, linearchargedensity
$\left[L^{-1}Q\right]$, current
$\left[T^{-1}Q\right]$, conductivity
$\left[F^{-1}L^{-2}T^{-1}Q^{2}\right]$,
reluctance
$\left[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}\right]$,
vectorpotential $\left[FTQ^{-1}C\right]$,
electricpotential $\left[FLQ^{-1}\right]$,
magneticpotential
$\left[T^{-1}QRC^{-1}\right]$, temperature
$\left[Θ\right]$, thermalconductance
$\left[FLT^{-1}Θ^{-1}\right]$, molaramount
$\left[N\right]$, luminousenergy
$\left[TJ\right]$ |
|
$\text{M}^{2}$ |
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 $\left[FL^{-1}T\right]$,
electricfield $\left[FQ^{-1}\right]$,
magneticfield
$\left[L^{-1}T^{-1}QRC^{-1}\right]$,
electricdisplacement
$\left[L^{-2}QR\right]$,
magneticfluxdensity
$\left[FL^{-1}TQ^{-1}C\right]$,
specificmagnetization
$\left[F^{-1}ML^{-2}T^{-1}QC^{-1}\right]$,
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
$\left[JA^{-2}\right]$ |
|
$\text{M}^{3}$ |
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
$\left[FT^{-1}\right]$, chargedensity
$\left[L^{-3}Q\right]$, currentdensity
$\left[L^{-2}T^{-1}Q\right]$,
volumeheatcapacity
$\left[FL^{-2}Θ^{-1}\right]$,
luminousexposure
$\left[L^{-2}TJ\right]$ |
|
$\text{M}^{4}$ |
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
$\left[L^{-2}J\right]$ |
|
$\text{M}^{5}$ |
pop
$\left[LT^{-6}\right]$, specificweight
$\left[FL^{-3}\right]$, powerdensity
$\left[FL^{-2}T^{-1}\right]$, inertance
$\left[ML^{-4}\right]$ |
|
$\text{M}^{-4}$ |
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
$\left[L^{3}N^{-1}A^{-1}R^{-1}\right]$ |
|
$\text{M}^{7}$ |
soundexposure
$\left[F^{2}L^{-4}T\right]$ |
|
$\text{M}^{6}$ |
impedance
$\left[FL^{-5}T\right]$ |
|
$\text{M}^{-6}$ |
admittance
$\left[F^{-1}L^{5}T^{-1}\right]$ |
