Rydberg
$\text{F}=MLT^{-2}, \text{M}, \text{L}, \text{T}, \text{Q}, \Theta=T^{-1}, \text{N}=M, \text{J}=T^{2}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1}, \text{C}=\mathbb{1}$
- Rydberg
- Standard Constants
- Standard Units
- Angle Units
- Solid Angle Units
- Time Units
- Length Units
- Speed Units
- Area Units
- Volume Units
- Mass Units
- Force Units
- Presure Units
- Energy Units
- Power Units
- Thermodynamic Units
- Photometric Units
- Sepcialized Units
- Charge Units
- Current Units
- Electromotive Units
- Inductance Units
- Resistance Units
- Conductance Units
- Capacitance Units
- Magnetic Flux Units
- Magnetic Flux Density Units
- Magnetic Specialized Units
- Equivalent dimensional quantities
Standard Constants
| Name | Quantity | Product |
|---|---|---|
| hyperfine transition | $4.4471825817053(85) \times 10^{-7}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\Delta\nu_\text{Cs}\cdot \text{R}_{\infty}^{-1}\tau^{-1}$ |
| light speed | $274.071998168(42)$ $[\text{L}\cdot \text{T}^{-1}]$ | $\alpha^{-1}2$ |
| Planck | $6.283185307179586$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}]$ | $\tau$ |
| Planck reduced | $1.0$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}]$ | $1$ |
| electron mass | $0.5$ $[\text{M}]$ | $2^{-1}$ |
| molar mass | $1.0$ $[\mathbb{1}]$ | $1$ |
| Boltzmann | $1.0$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}]$ | $1$ |
| vacuum permeability | $0.000167294064155(51)$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}\tau\cdot 2^{-1}$ |
| rationalization | $1.0$ $[\mathbb{1}]$ | $1$ |
| Lorentz | $1.0$ $[\mathbb{1}]$ | $1$ |
| luminous efficacy | $1.0$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{5}]$ | $1$ |
| gravity | $1.0$ $[\mathbb{1}]$ | $1$ |
| radian | $1.0$ $[\mathbb{1}]$ | $1$ |
| turn | $6.283185307179586$ $[\mathbb{1}]$ | $\tau$ |
| spat | $12.566370614359172$ $[\mathbb{1}]$ | $\tau\cdot 2$ |
| Dalton | $911.444243104(27)$ $[\text{M}]$ | $\mu_\text{eu}^{-1}2^{-1}$ |
| proton mass | $918.076336716(55)$ $[\text{M}]$ | $\mu_\text{eu}^{-1}\mu_\text{pu}\cdot 2^{-1}$ |
| Planck mass | $1.194611(13) \times 10^{22}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}\cdot 2^{-2}$ |
| Newton gravitation | $1.920488(42) \times 10^{-42}$ $[\text{M}^{-1}\text{L}^{3}\text{T}^{-2}]$ | $\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-5}\text{m}_\text{P}^{-2}2^{5}$ |
| Gauss gravitation | $9.631918419009(18) \times 10^{-24}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\text{k}_\text{G}\cdot 2^{-14}3^{-7}5^{-5}$ |
| Einstein gravitation | $8.55446(19) \times 10^{-51}$ $[\text{M}^{-1}\text{L}^{-1}\text{T}^{2}]$ | $\hbar^{2}\text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-1}\text{m}_\text{P}^{-2}\tau\cdot 2^{3}$ |
| Hartree | $2.0$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $2$ |
| Rydberg | $0.000580704866443(89)$ $[\text{a}_0^{-1}]$ | $\alpha\cdot \tau^{-1}2^{-1}$ |
| Bohr radius | $1.0$ $[\text{a}_0]$ | $1$ |
| electron radius | $5.3251354520(16) \times 10^{-5}$ $[\text{a}_0]$ | $\alpha^{2}$ |
| Avogadro | $0.001097159818130(32)$ $[\text{M}^{-1}]$ | $\mu_\text{eu}\cdot 2$ |
| Molar gas | $0.001097159818130(32)$ $[\text{L}^{2}\text{T}^{-1}]$ | $\mu_\text{eu}\cdot 2$ |
| Stefan-Boltzmann | $2.18987417891(67) \times 10^{-6}$ $[\text{M}\cdot \text{T}]$ | $\alpha^{2}\tau^{2}2^{-6}3^{-1}5^{-1}$ |
| radiation density | $3.1960567932(15) \times 10^{-8}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{2}]$ | $\alpha^{3}\tau^{2}2^{-5}3^{-1}5^{-1}$ |
| vacuum permittivity | $0.07957747154594767$ $[\text{M}^{-1}\text{L}^{-3}\text{T}^{2}\text{Q}^{2}]$ | $\tau^{-1}2^{-1}$ |
| electrostatic | $1.0$ $[\text{M}\cdot \text{L}^{3}\text{T}^{-2}\text{Q}^{-2}]$ | $1$ |
| magnetostatic | $1.33128386301(41) \times 10^{-5}$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}2^{-2}$ |
| Biot-Savart | $1.33128386301(41) \times 10^{-5}$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}2^{-2}$ |
| elementary charge | $1.4142135623730951$ $[\text{Q}]$ | $2^{1/2}$ |
| Faraday | $0.001551618294890(45)$ $[\text{M}^{-1}\text{Q}]$ | $\mu_\text{eu}\cdot 2^{3/2}$ |
| vacuum impedance | $0.0458506184446(70)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\alpha\cdot \tau$ |
| conductance quantum | $0.6366197723675814$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\tau^{-1}2^{2}$ |
| Klitzing | $3.141592653589793$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\tau\cdot 2^{-1}$ |
| Josephson | $0.4501581580785531$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}]$ | $\tau^{-1}2^{3/2}$ |
| magnetic flux quantum | $2.221441469079183$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\tau\cdot 2^{-3/2}$ |
| magneton | $1.4142135623730951$ $[\text{L}^{2}\text{T}^{-1}\text{Q}]$ | $2^{1/2}$ |
| Loschmidt | $3.9813973565(18) \times 10^{-6}$ $[\text{a}_0^{-3}]$ | $\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-3}$ |
| Wien wavelength | $346.828908988(53)$ $[\text{L}\cdot \text{T}^{-1}]$ | |
| Wien frequency | $0.44904602270732236$ $[\mathbb{1}]$ | |
| Sackur-Tetrode | $-1.1648705244(12)$ $[\mathbb{1}]$ | |
| Eddington | $1.402(10) \times 10^{82}$ $[\text{M}]$ | $\hbar^{-2}\text{c}^{3}\text{R}_{\infty}^{-1}\alpha^{2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}^{2}\tau^{-1/2}2^{7}3^{7/2}5^{6}$ |
| solar mass | $1.091407(24) \times 10^{60}$ $[\text{M}]$ | $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-30}3^{-14}5^{-10}$ |
| Jupiter mass | $1.041851(23) \times 10^{57}$ $[\text{M}]$ | $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{J}\cdot \tau\cdot 2^{-2}$ |
| Earth mass | $3.278030(72) \times 10^{54}$ $[\text{M}]$ | $\hbar^{-2}\text{R}_{\infty}^{-1}\alpha^{2}\text{m}_\text{P}^{2}\text{GM}_\text{E}\cdot \tau\cdot 2^{-2}$ |
| g-force | $4.33720285409(66) \times 10^{-22}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\text{g}_0\cdot \tau^{-1}2$ |
| Earth radius | $1.2047790782(12) \times 10^{17}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2$ |
| great circle | $7.5698502027(77) \times 10^{17}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2$ |
| nautical mile | $3.5045602790(36) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$ |
| Hubble | $1.0608(66) \times 10^{-34}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\text{H}_0\cdot \text{au}^{-1}2^{-10}3^{-4}5^{-6}$ |
| cosmological | $3.096(46) \times 10^{-73}$ $[\text{a}_0^{-2}]$ | $\text{c}^{-2}\text{R}_{\infty}^{-2}\alpha^{2}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}2^{-22}3^{-7}5^{-12}$ |
Standard Units
Angle Units
| Name | Quantity | Product |
|---|---|---|
| turn | $6.283185307179586$ $[\mathbb{1}]$ | $\tau$ |
| radian | $1.0$ $[\mathbb{1}]$ | $1$ |
| spatian | $3.5449077018110318$ $[\mathbb{1}]$ | $\tau^{1/2}2^{1/2}$ |
| gradian | $0.015707963267948967$ $[\mathbb{1}]$ | $\tau\cdot 2^{-4}5^{-2}$ |
| bradian | $0.02454369260617026$ $[\mathbb{1}]$ | $\tau\cdot 2^{-8}$ |
| degree | $0.017453292519943295$ $[\mathbb{1}]$ | $\tau\cdot 2^{-3}3^{-2}5^{-1}$ |
| arc minute | $0.0002908882086657217$ $[\mathbb{1}]$ | $\tau\cdot 2^{-5}3^{-3}5^{-2}$ |
| arc second | $4.84813681109536 \times 10^{-6}$ $[\mathbb{1}]$ | $\tau\cdot 2^{-7}3^{-4}5^{-3}$ |
Solid Angle Units
| Name | Quantity | Product |
|---|---|---|
| spat | $12.566370614359172$ $[\mathbb{1}]$ | $\tau\cdot 2$ |
| steradian | $1.0$ $[\mathbb{1}]$ | $1$ |
| square degree | $0.0003046174197867087$ $[\mathbb{1}]$ | $\tau^{2}2^{-6}3^{-4}5^{-2}$ |
Time Units
| Name | Quantity | Product |
|---|---|---|
| second | $2.0670686667591(40) \times 10^{16}$ $[\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau$ |
| minute | $1.2402412000555(24) \times 10^{18}$ $[\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{2}3\cdot 5$ |
| hour | $7.441447200333(14) \times 10^{19}$ $[\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{4}3^{2}5^{2}$ |
| day | $1.7859473280799(34) \times 10^{21}$ $[\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2^{7}3^{3}5^{2}$ |
| year | $6.523172615812(12) \times 10^{23}$ $[\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \text{a}_\text{j}\cdot \tau\cdot 2^{7}3^{3}5^{2}$ |
Length Units
| Name | Quantity | Product |
|---|---|---|
| angstrom | $1.88972612463(29)$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-9}5^{-10}$ |
| inch | $4.79990435656(74) \times 10^{8}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{-1}3^{-1}$ |
| foot | $5.75988522787(88) \times 10^{9}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2$ |
| survey foot | $5.75989674766(88) \times 10^{9}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}_\text{US}\cdot \tau\cdot 2$ |
| yard | $1.72796556836(26) \times 10^{10}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2\cdot 3$ |
| meter | $1.88972612463(29) \times 10^{10}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2$ |
| Earth meter | $1.8924625507(19) \times 10^{10}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-8}5^{-7}$ |
| mile | $3.04121940031(47) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$ |
| statute mile | $3.04122548276(47) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}_\text{US}\cdot \tau\cdot 2^{6}3\cdot 5\cdot 11$ |
| meridian mile | $3.49949282339(54) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{5}3^{-3}5^{5}$ |
| admiralty mile | $3.50201021854(54) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{ft}\cdot \tau\cdot 2^{7}5\cdot 19$ |
| nautical mile | $3.5045602790(36) \times 10^{13}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau^{2}2^{-4}3^{-3}5^{-2}$ |
| lunar distance | $7.2640883258(11) \times 10^{18}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{4}3^{3}5^{3}14237$ |
| astronomical unit | $2.82699004451(44) \times 10^{21}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{au}\cdot \tau\cdot 2$ |
| Jupiter distance | $1.47111210377(23) \times 10^{22}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{7}3\cdot 5^{6}259493$ |
| light-year | $1.78781895321(27) \times 10^{26}$ $[\text{a}_0]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \alpha^{-1}\text{a}_\text{j}\cdot \tau\cdot 2^{8}3^{3}5^{2}$ |
| parsec | $5.83108553792(90) \times 10^{26}$ $[\text{a}_0]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\text{au}\cdot 2^{8}3^{4}5^{3}$ |
Speed Units
| Name | Quantity | Product |
|---|---|---|
| Bubnoff | $2.89694330646(44) \times 10^{-14}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{a}_\text{j}^{-1}2^{-6}3^{-3}5^{-2}$ |
| feet per minute | $4.64416536687(71) \times 10^{-9}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-1}3^{-1}5^{-1}$ |
| inches per second | $2.32208268344(36) \times 10^{-8}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-1}3^{-1}$ |
| kilometers per hour | $2.53946050245(39) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}3^{-2}5$ |
| feet per second | $2.78649922012(43) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2$ |
| miles per hour | $4.08686552285(63) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{2}3^{-1}5^{-1}11$ |
| knot | $4.7095144058(48) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-8}3^{-5}5^{-4}$ |
| meters per second | $9.1420578088(14) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}2$ |
| miles per second | $0.00147127158823(23)$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{6}3\cdot 5\cdot 11$ |
Area Units
| Name | Quantity | Product |
|---|---|---|
| barn | $3.5710648261(11) \times 10^{-8}$ $[\text{a}_0^2]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\tau^{2}2^{-26}5^{-28}$ |
| hectare | $3.5710648261(11) \times 10^{24}$ $[\text{a}_0^2]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\tau^{2}2^{6}5^{4}$ |
| acre | $1.44515866263(44) \times 10^{24}$ $[\text{a}_0^2]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\text{ft}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$ |
| survey acre | $1.44516444328(44) \times 10^{24}$ $[\text{a}_0^2]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\text{ft}_\text{US}^{2}\tau^{2}2^{5}3^{2}5\cdot 11^{2}$ |
Volume Units
| Name | Quantity | Product |
|---|---|---|
| liter | $6.7483344946(31) \times 10^{27}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}5^{-3}$ |
| gallon | $2.5545224918(12) \times 10^{28}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-3}3^{-2}7\cdot 11$ |
| quart | $6.3863062296(29) \times 10^{27}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-5}3^{-2}7\cdot 11$ |
| pint | $3.1931531148(15) \times 10^{27}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$ |
| cup | $1.59657655740(73) \times 10^{27}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-7}3^{-2}7\cdot 11$ |
| fluid ounce | $1.99572069675(92) \times 10^{26}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\text{ft}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$ |
| teaspoon | $3.3741672473(16) \times 10^{25}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}2^{-3}5^{-5}$ |
| tablespoon | $1.01225017419(47) \times 10^{26}$ $[\text{a}_0^3]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}2^{-3}3\cdot 5^{-5}$ |
Mass Units
| Name | Quantity | Product |
|---|---|---|
| gram | $5.4888455288(17) \times 10^{26}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-5}5^{-3}$ |
| Earth gram | $5.512724513(17) \times 10^{26}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-32}5^{-24}$ |
| kilogram | $5.4888455288(17) \times 10^{29}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-2}$ |
| tonne | $5.4888455288(17) \times 10^{32}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2\cdot 5^{3}$ |
| ton | $4.9793969039(15) \times 10^{32}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{2}5^{3}$ |
| pound (mass) | $2.48969845195(76) \times 10^{29}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-2}$ |
| ounce | $1.55606153247(48) \times 10^{28}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-6}$ |
| grain | $3.5567120742(11) \times 10^{25}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-5}5^{-3}7^{-1}$ |
| slug | $8.0103678884(25) \times 10^{30}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-2}$ |
| slinch | $9.6124414661(29) \times 10^{31}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 3$ |
| hyl | $5.3827187005(16) \times 10^{30}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot 2^{-2}$ |
Force Units
| Name | Quantity | Product |
|---|---|---|
| dyne | $242.756053219(37)$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \tau^{-1}2^{-6}5^{-5}$ |
| newton | $2.42756053219(37) \times 10^{7}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \tau^{-1}2^{-1}$ |
| poundal | $3.35622270623(51) \times 10^{6}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2^{-1}$ |
| pound (force) | $1.07983272316(17) \times 10^{8}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{g}_0\cdot \text{lb}\cdot \tau^{-1}2^{-1}$ |
| kilopond | $2.38062364930(36) \times 10^{8}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-2}\alpha\cdot \text{g}_0\cdot \tau^{-1}2^{-1}$ |
Presure Units
| Name | Quantity | Product |
|---|---|---|
| pounds per square inch | $4.6869607523(22) \times 10^{-10}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-3}2\cdot 3^{2}$ |
| pascal | $6.7978618435(31) \times 10^{-14}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{-3}$ |
| barye | $6.7978618435(31) \times 10^{-15}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{-4}5^{-1}$ |
| bar | $6.7978618435(31) \times 10^{-9}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{2}5^{5}$ |
| technical atmosphere | $6.6664251847(31) \times 10^{-9}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{g}_0\cdot \tau^{-3}2\cdot 5^{4}$ |
| atmosphere | $6.8879335129(32) \times 10^{-9}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{atm}\cdot \tau^{-3}2^{-3}$ |
| inch mercury | $2.3020204570(11) \times 10^{-10}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{in}_\text{Hg}^{-1}\tau^{-3}2^{-3}$ |
| torr | $9.0630704117(42) \times 10^{-12}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\text{atm}\cdot \tau^{-3}2^{-6}5^{-1}19^{-1}$ |
Energy Units
| Name | Quantity | Product |
|---|---|---|
| erg | $4.5874245567925(88) \times 10^{10}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}2^{-7}5^{-7}$ |
| joule | $4.5874245567925(88) \times 10^{17}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}$ |
| foot-pound | $6.219712550716(12) \times 10^{17}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{g}_0\cdot \text{ft}\cdot \text{lb}$ |
| calorie | $1.9206341609338(37) \times 10^{18}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{2}3^{2}5\cdot 43^{-1}$ |
| kilocalorie | $1.9206341609338(37) \times 10^{21}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{5}3^{2}5^{4}43^{-1}$ |
| mean calorie | $1.9206821597964(37) \times 10^{18}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}2^{2}3^{2}5\cdot 43^{-1}1.0001900224889804$ |
| Earth calorie | $1.9289897964(58) \times 10^{18}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}3^{2}5^{-20}43^{-1}$ |
| British thermal unit | $4.8399166720052(93) \times 10^{20}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{5}5^{5}43^{-1}$ |
| gas gallon | $5.517505006086(11) \times 10^{25}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{9}3\cdot 5^{8}19\cdot 43^{-1}$ |
| ton TNT | $1.9206341609338(37) \times 10^{27}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-1}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}2^{11}3^{2}5^{10}43^{-1}$ |
| electronvolt | $0.07349864435131(14)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{e}\cdot \text{R}_{\infty}^{-1}$ |
Power Units
| Name | Quantity | Product |
|---|---|---|
| watt | $22.192898719639(85)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-1}$ |
| horsepower (Watt) | $16334.619439921(63)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot 2^{4}3^{3}5^{-1}$ |
| horsepower (Metric) | $16322.849267171(62)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \tau^{-1}3\cdot 5^{2}$ |
| horsepower | $16549.241725273(63)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \tau^{-1}2\cdot 5^{2}11$ |
| electrical horsepower | $16555.902444851(63)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-1}2373$ |
| tons refrigeration | $78047.99053263(30)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2^{6}3^{-1}5^{6}43^{-1}$ |
| boiler horsepower | $217721.37358997(83)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-1}2\cdot 3^{-2}5^{5}43^{-1}1339$ |
Thermodynamic Units
| Name | Quantity | Product |
|---|---|---|
| Kelvin | $6.3336231247(19) \times 10^{-6}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}$ |
| Rankine | $3.5186795137(11) \times 10^{-6}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{4}3^{-2}5^{4}$ |
| Celsius | $0.00173002915652(53)$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}\text{T}_0\cdot 2^{4}5^{3}$ |
| Fahrenheit | $0.00161743141208(50)$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{4}3^{-2}5^{4}459.67$ |
| sea level | $0.00182503350339(56)$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}288.15$ |
| boiling | $0.00236328949766(73)$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}373.1339$ |
| mole | $5.4888455288(17) \times 10^{26}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}2^{-5}5^{-3}$ |
| Earth-mole | $5.512724513(17) \times 10^{26}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0^{-3/2}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-32}5^{-24}$ |
| pound-mole | $2.48969845195(76) \times 10^{29}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{lb}\cdot 2^{-2}$ |
| slug-mole | $8.0103678884(25) \times 10^{30}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 2^{-2}$ |
| slinch-mole | $9.6124414661(29) \times 10^{31}$ $[\text{M}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot 3$ |
| katal | $2.65537648411(81) \times 10^{10}$ $[\text{M}\cdot \text{T}^{-1}]$ | $\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{2}\tau^{-1}2^{-5}5^{-3}$ |
| amagat | $0.0036288217001(17)$ $[\text{M}\cdot \text{L}^{-3}]$ | $\text{k}_\text{B}^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \tau^{-3}2^{-4}$ |
Photometric Units
| Name | Quantity | Product |
|---|---|---|
| lumen | $0.03249232641699(12)$ $[\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\tau^{-1}$ |
| candela | $0.03249232641699(12)$ $[\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-2}\tau^{-1}$ |
| lux | $9.0987780954(28) \times 10^{-23}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{-2}$ |
| phot | $9.0987780954(28) \times 10^{-19}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{2}5^{4}$ |
| foot-candle | $9.7938432320(30) \times 10^{-22}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\text{ft}^{-2}\tau^{-3}2^{-2}$ |
| nit | $9.0987780954(28) \times 10^{-23}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{-2}$ |
| abostilb | $2.89623101996(89) \times 10^{-23}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2^{-1}$ |
| stilb | $9.0987780954(28) \times 10^{-19}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-3}2^{2}5^{4}$ |
| lambert | $2.89623101996(89) \times 10^{-19}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2^{3}5^{4}$ |
| foot-lambert | $3.11747712449(96) \times 10^{-22}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\text{ft}^{-2}\tau^{-4}2^{-1}$ |
| bril | $2.89623101996(89) \times 10^{-30}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{-2}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-4}\alpha^{2}\tau^{-4}2^{-8}5^{-7}$ |
| talbot | $6.716386984667(13) \times 10^{14}$ $[\text{T}^{3}]$ | $\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}$ |
| lumerg | $6.716386984667(13) \times 10^{7}$ $[\text{T}^{3}]$ | $\hbar^{-1}\text{c}^{-1}\text{K}_\text{cd}^{-1}\text{R}_{\infty}^{-1}2^{-7}5^{-7}$ |
Sepcialized Units
| Name | Quantity | Product |
|---|---|---|
| hertz | $4.8377686531713(93) \times 10^{-17}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}$ |
| actions per minute | $8.062947755286(15) \times 10^{-19}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{-2}3^{-1}5^{-1}$ |
| revolutions per minute | $5.0660994868567(97) \times 10^{-18}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}2^{-2}3^{-1}5^{-1}$ |
| kayser | $5.29177210902(81) \times 10^{-9}$ $[\text{a}_0^{-1}]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2\cdot 5^{2}$ |
| diopter | $5.29177210902(81) \times 10^{-11}$ $[\text{a}_0^{-1}]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ |
| rayleigh | $578838.18060(18)$ $[\text{L}^{-2}\text{T}]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{8}5^{10}$ |
| flick | $3.2886482935(15) \times 10^{-20}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-3}]$ | $\hbar^{-1}\text{c}^{-2}\text{R}_{\infty}^{-5}\alpha^{3}\tau^{-4}2^{7}5^{10}$ |
| g-force | $4.33720285409(66) \times 10^{-22}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\text{g}_0\cdot \tau^{-1}2$ |
| galileo | $4.42271606929(68) \times 10^{-25}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha^{-1}\tau^{-1}2^{-1}5^{-2}$ |
| eotvos | $2.3404005541607(90) \times 10^{-42}$ $[\text{T}^{-2}]$ | $\text{c}^{-2}\text{R}_{\infty}^{-2}\tau^{-2}2^{-9}5^{-9}$ |
| darcy | $3.5243669638(11) \times 10^{8}$ $[\text{a}_0^2]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\text{atm}^{-1}\tau^{2}2^{-5}5^{-7}$ |
| poise | $140.5164721760(65)$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-1}]$ | $\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\tau^{-2}2^{-4}5^{-1}$ |
| reyn | $9.6882697134(45) \times 10^{6}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-1}]$ | $\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \tau^{-2}2\cdot 3^{2}$ |
| stokes | $1.72759854742(53)$ $[\text{L}^{2}\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2^{-2}5^{-4}$ |
| rayl | $7.4358114832(46) \times 10^{-8}$ $[\text{M}\cdot \text{L}^{-2}\text{T}^{-1}]$ | $\hbar^{-1}\text{R}_{\infty}^{-4}\alpha^{4}\tau^{-3}2^{-4}$ |
| mpg equivalent | $5.51194678928(84) \times 10^{-13}$ $[\text{M}^{-1}\text{L}^{-1}\text{T}^{2}]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-1}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\tau\cdot 2^{-3}5^{-7}11\cdot 19^{-1}43$ |
| langley | $53.783234258(16)$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\tau^{-2}2^{4}3^{2}5^{5}43^{-1}$ |
| jansky | $1.28460971172(39) \times 10^{-29}$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\tau^{-2}2^{-28}5^{-26}$ |
| solar flux | $1.28460971172(39) \times 10^{-25}$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\tau^{-2}2^{-24}5^{-22}$ |
| curie | $1.7899744016734(34) \times 10^{-6}$ $[\text{T}^{-1}]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{9}5^{9}37$ |
| gray | $8.3577220980(26) \times 10^{-13}$ $[\text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-2}2^{2}$ |
| roentgen | $4.1486267896(16) \times 10^{-15}$ $[\text{M}^{-1}\text{Q}]$ | $\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}\cdot \alpha^{-5/2}\tau^{1/2}2^{4}5^{3/2}/1.293$ |
Charge Units
| Name | Quantity | Product |
|---|---|---|
| coulomb | $8.82682678037(68) \times 10^{18}$ $[\text{Q}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-3}5^{-7/2}$ |
| Earth coulomb | $8.852408738(18) \times 10^{18}$ $[\text{Q}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-21}5^{-35/2}$ |
| abcoulomb | $8.82682678037(68) \times 10^{19}$ $[\text{Q}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-2}5^{-5/2}$ |
| statcoulomb | $2.94431248847(23) \times 10^{9}$ $[\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}\tau^{1/2}2^{-4}5^{-9/2}$ |
Current Units
| Name | Quantity | Product |
|---|---|---|
| ampere | $427.021459051(33)$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-3}5^{-7/2}$ |
| abampere | $4270.214590510(33)$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-2}5^{-5/2}$ |
| statampere | $1.42439026618(11) \times 10^{-7}$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-1/2}2^{-4}5^{-9/2}$ |
Electromotive Units
| Name | Quantity | Product |
|---|---|---|
| volt | $0.0519713898430(40)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{3}5^{7/2}$ |
| abvolt | $5.19713898430(40) \times 10^{-10}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-3/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{-5}5^{-9/2}$ |
| statvolt | $15.5806307067(12)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-1/2}2^{-3}5^{-5/2}$ |
Inductance Units
| Name | Quantity | Product |
|---|---|---|
| henry | $2.51576189523(39) \times 10^{12}$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{6}5^{7}$ |
| abhenry | $2515.76189523(39)$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{-3}5^{-2}$ |
| stathenry | $2.26105403180(35) \times 10^{24}$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\text{c}^{2}\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2\cdot 5^{2}$ |
Resistance Units
| Name | Quantity | Product |
|---|---|---|
| ohm | $0.000121706740356(19)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}^{-1}\alpha\cdot 2^{6}5^{7}$ |
| abohm | $1.21706740356(19) \times 10^{-13}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}^{-1}\alpha\cdot 2^{-3}5^{-2}$ |
| statohm | $1.09384563182(17) \times 10^{8}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}\cdot \alpha\cdot 2\cdot 5^{2}$ |
Conductance Units
| Name | Quantity | Product |
|---|---|---|
| siemens | $8216.4718000(13)$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}\cdot \alpha^{-1}2^{-6}5^{-7}$ |
| abmho | $8.2164718000(13) \times 10^{12}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}\cdot \alpha^{-1}2^{3}5^{2}$ |
| statmho | $9.1420578088(14) \times 10^{-9}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}^{-1}\alpha^{-1}2^{-1}5^{-2}$ |
Capacitance Units
| Name | Quantity | Product |
|---|---|---|
| farad | $1.69840114090(26) \times 10^{20}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-6}5^{-7}$ |
| abfarad | $1.69840114090(26) \times 10^{29}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\text{c}^{2}\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{3}5^{2}$ |
| statfarad | $1.88972612463(29) \times 10^{8}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2^{-1}5^{-2}$ |
Magnetic Flux Units
| Name | Quantity | Product |
|---|---|---|
| weber | $1.074284315124(82) \times 10^{15}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{3}5^{7/2}$ |
| maxwell | $1.074284315124(82) \times 10^{7}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{-5}5^{-9/2}$ |
| statfarad | $3.22062335422(25) \times 10^{17}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}\tau^{1/2}2^{-3}5^{-5/2}$ |
Magnetic Flux Density Units
| Name | Quantity | Product |
|---|---|---|
| tesla | $3.0083024740(12) \times 10^{-6}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2\cdot 5^{7/2}$ |
| gauss | $3.0083024740(12) \times 10^{-10}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2^{-3}5^{-1/2}$ |
| stattesla | $9.0186639309(35)$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-2}\alpha^{5/2}\tau^{-3/2}2^{-1}5^{3/2}$ |
Magnetic Specialized Units
| Name | Quantity | Product |
|---|---|---|
| oersted | $1.79821232105(14) \times 10^{-6}$ $[\text{L}^{-1}\text{T}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-2}\alpha^{1/2}\tau^{-5/2}2^{-2}5^{-1/2}$ |
| gilbert | $339.812880071(26)$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{-1/2}\tau^{-3/2}2^{-3}5^{-5/2}$ |
Equivalent dimensional quantities
| Quantity | Equivalent Dimensions |
|---|---|
| $\mathbb{1}$ | dimensionless $[\mathbb{1}]$, angle $[A]$, solid angle $[A^{2}]$, gravity force $[F^{-1}MLT^{-2}]$, susceptibility $[R^{-1}]$, demagnetizing factor $[R]$, molar mass $[MN^{-1}]$, molality $[M^{-1}N]$ |
| $\text{T}$ | time $[T]$, angular time $[TA^{-1}]$, thermal expansion $[Θ^{-1}]$ |
| $\text{a}_0$ | length $[L]$, angular length $[LA^{-1}]$ |
| $\text{a}_0^2$ | area $[L^{2}]$, angular area $[L^{2}A^{-2}]$, etendue $[L^{2}A^{2}]$ |
| $\text{a}_0^3$ | volume $[L^{3}]$, magnetic polarizability $[L^{3}A^{-1}R^{-1}]$ |
| $\text{a}_0^{-1}$ | wavenumber $[L^{-1}]$, angular wavenumber $[L^{-1}A]$ |
| $\text{a}_0^{-2}$ | fuel efficiency $[L^{-2}]$ |
| $\text{a}_0^{-3}$ | number density $[L^{-3}]$ |
| $\text{T}^{-1}$ | frequency $[T^{-1}]$, angular frequency $[T^{-1}A]$, photon intensity $[T^{-1}A^{-2}]$, temperature $[Θ]$ |
| $\text{T}^{-2}$ | frequency drift $[T^{-2}]$ |
| $\text{L}^{-1}\text{T}$ | stagnance $[L^{-1}T]$ |
| $\text{L}\cdot \text{T}^{-1}$ | speed $[LT^{-1}]$ |
| $\text{L}\cdot \text{T}^{-2}$ | acceleration $[LT^{-2}]$, specific force $[FM^{-1}]$ |
| $\text{L}\cdot \text{T}^{-3}$ | jerk $[LT^{-3}]$ |
| $\text{L}\cdot \text{T}^{-4}$ | snap $[LT^{-4}]$ |
| $\text{L}\cdot \text{T}^{-5}$ | crackle $[LT^{-5}]$ |
| $\text{L}\cdot \text{T}^{-6}$ | pop $[LT^{-6}]$ |
| $\text{L}^{3}\text{T}^{-1}$ | volume flow $[L^{3}T^{-1}]$ |
| $\text{L}^{-2}\text{T}$ | photon irradiance $[L^{-2}T]$, photon radiance $[L^{-2}TA^{-2}]$ |
| $\text{M}$ | inertia $[FL^{-1}T^{2}]$, mass $[M]$, molar amount $[N]$ |
| $\text{M}\cdot \text{T}^{-1}$ | mass flow $[MT^{-1}]$, spectral exposure $[FL^{-1}T]$, catalysis $[T^{-1}N]$ |
| $\text{M}\cdot \text{L}^{-1}$ | linear density $[ML^{-1}]$ |
| $\text{M}\cdot \text{L}^{-2}$ | area density $[ML^{-2}]$ |
| $\text{M}\cdot \text{L}^{-3}$ | density $[ML^{-3}]$, molarity $[L^{-3}N]$ |
| $\text{M}\cdot \text{L}^{-2}\text{T}^{-2}$ | specific weight $[FL^{-3}]$ |
| $\text{M}^{-1}\text{L}^{3}$ | specific volume $[M^{-1}L^{3}]$, specific susceptibility $[M^{-1}L^{3}A^{-1}R^{-1}]$, molar volume $[L^{3}N^{-1}]$, molar susceptibility $[L^{3}N^{-1}A^{-1}R^{-1}]$ |
| $\text{M}\cdot \text{L}\cdot \text{T}^{-2}$ | force $[F]$, thermal conductivity $[FT^{-1}Θ^{-1}]$ |
| $\text{M}\cdot \text{L}^{-1}\text{T}^{-2}$ | pressure $[FL^{-2}]$ |
| $\text{M}^{-1}\text{L}\cdot \text{T}^{2}$ | compressibility $[F^{-1}L^{2}]$ |
| $\text{M}\cdot \text{L}^{-1}\text{T}^{-1}$ | viscosity $[FL^{-2}T]$, volume heat capacity $[FL^{-2}Θ^{-1}]$ |
| $\text{L}^{2}\text{T}^{-1}$ | diffusivity $[L^{2}T^{-1}]$, specific entropy $[FM^{-1}LΘ^{-1}]$, molar entropy $[FLΘ^{-1}N^{-1}]$ |
| $\text{M}\cdot \text{L}^{2}$ | rotational inertia $[ML^{2}]$ |
| $\text{M}\cdot \text{L}\cdot \text{T}^{-1}$ | impulse $[FT]$, momentum $[MLT^{-1}]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-1}$ | angular momentum $[FLTA^{-1}]$, action $[FLT]$, entropy $[FLΘ^{-1}]$ |
| $\text{M}\cdot \text{L}\cdot \text{T}^{-3}$ | yank $[MLT^{-3}]$, spectral flux $[FT^{-1}]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-2}$ | energy $[FL]$, thermal conductance $[FLT^{-1}Θ^{-1}]$ |
| $\text{L}^{2}\text{T}^{-2}$ | specific energy $[FM^{-1}L]$, molar energy $[FLN^{-1}]$ |
| $\text{M}\cdot \text{T}^{-2}$ | fluence $[FL^{-1}]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-3}$ | power $[FLT^{-1}]$, radiant intensity $[FLT^{-1}A^{-2}]$ |
| $\text{M}\cdot \text{L}^{-1}\text{T}^{-3}$ | power density $[FL^{-2}T^{-1}]$ |
| $\text{M}\cdot \text{T}^{-3}$ | irradiance $[FL^{-1}T^{-1}]$, radiance $[FL^{-1}T^{-1}A^{-2}]$ |
| $\text{M}^{2}\text{L}^{-2}\text{T}^{-3}$ | sound exposure $[F^{2}L^{-4}T]$ |
| $\text{M}\cdot \text{L}^{-4}\text{T}^{-1}$ | impedance $[FL^{-5}T]$ |
| $\text{M}\cdot \text{L}^{-2}\text{T}^{-1}$ | specific impedance $[FL^{-3}T]$ |
| $\text{M}^{-1}\text{L}^{4}\text{T}$ | admittance $[F^{-1}L^{5}T^{-1}]$ |
| $\text{M}^{-1}\text{T}^{2}$ | compliance $[M^{-1}T^{2}]$ |
| $\text{M}\cdot \text{L}^{-4}$ | inertance $[ML^{-4}]$ |
| $\text{Q}$ | charge $[Q]$ |
| $\text{L}^{-3}\text{Q}$ | charge density $[L^{-3}Q]$ |
| $\text{L}^{-1}\text{Q}$ | linear charge density $[L^{-1}Q]$ |
| $\text{M}^{-1}\text{Q}$ | exposure $[M^{-1}Q]$ |
| $\text{M}\cdot \text{L}^{4}\text{T}^{-3}\text{Q}^{-1}$ | mobility $[FL^{3}T^{-1}Q^{-1}]$ |
| $\text{T}^{-1}\text{Q}$ | current $[T^{-1}Q]$, magnetic potential $[T^{-1}QRC^{-1}]$ |
| $\text{L}^{-2}\text{T}^{-1}\text{Q}$ | current density $[L^{-2}T^{-1}Q]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}$ | resistance $[FLTQ^{-2}]$ |
| $\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}$ | conductance $[F^{-1}L^{-1}T^{-1}Q^{2}]$ |
| $\text{M}\cdot \text{L}^{3}\text{T}^{-1}\text{Q}^{-2}$ | resistivity $[FL^{2}TQ^{-2}]$ |
| $\text{M}^{-1}\text{L}^{-3}\text{T}\cdot \text{Q}^{2}$ | conductivity $[F^{-1}L^{-2}T^{-1}Q^{2}]$ |
| $\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}$ | capacitance $[F^{-1}L^{-1}Q^{2}]$ |
| $\text{M}\cdot \text{L}^{2}\text{Q}^{-2}$ | inductance $[FLT^{2}Q^{-2}]$, permeance $[FLT^{2}Q^{-2}R^{-1}C^{2}]$ |
| $\text{M}^{-1}\text{L}^{-2}\text{Q}^{2}$ | reluctance $[F^{-1}L^{-1}T^{-2}Q^{2}RC^{-2}]$ |
| $\text{M}^{-1}\text{L}^{-3}\text{T}^{2}\text{Q}^{2}$ | permittivity $[F^{-1}L^{-2}Q^{2}R]$ |
| $\text{M}\cdot \text{L}\cdot \text{Q}^{-2}$ | permeability $[FT^{2}Q^{-2}R^{-1}C^{2}]$ |
| $\text{M}\cdot \text{L}\cdot \text{T}^{-1}\text{Q}^{-1}$ | vector potential $[FTQ^{-1}C]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}$ | electric potential $[FLQ^{-1}]$ |
| $\text{M}\cdot \text{L}\cdot \text{T}^{-2}\text{Q}^{-1}$ | electric field $[FQ^{-1}]$ |
| $\text{L}^{-1}\text{T}^{-1}\text{Q}$ | magnetic field $[L^{-1}T^{-1}QRC^{-1}]$ |
| $\text{M}\cdot \text{L}^{3}\text{T}^{-2}\text{Q}^{-1}$ | electric flux $[FL^{2}Q^{-1}]$ |
| $\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}$ | magnetic flux $[FLTQ^{-1}C]$ |
| $\text{L}^{-2}\text{Q}$ | electric displacement $[L^{-2}QR]$ |
| $\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}$ | magnetic flux density $[FL^{-1}TQ^{-1}C]$ |
| $\text{L}\cdot \text{Q}$ | electric dipole moment $[LQ]$ |
| $\text{L}^{2}\text{T}^{-1}\text{Q}$ | magnetic dipole moment $[L^{2}T^{-1}QA^{-1}C^{-1}]$ |
| $\text{M}^{-1}\text{T}^{2}\text{Q}^{2}$ | electric polarizability $[F^{-1}LQ^{2}]$ |
| $\text{M}\cdot \text{L}^{3}\text{T}^{-1}\text{Q}^{-1}$ | magnetic moment $[FL^{2}TQ^{-1}C]$ |
| $\text{L}^{-3}\text{T}\cdot \text{Q}$ | specific magnetization $[F^{-1}ML^{-2}T^{-1}QC^{-1}]$ |
| $\text{L}\cdot \text{T}^{-1}\text{Q}$ | pole strength $[LT^{-1}QA^{-1}C^{-1}]$ |
| $\text{M}^{-1}\text{L}^{-1}\text{T}^{2}$ | thermal resistivity $[F^{-1}TΘ]$ |
| $\text{M}^{-1}\text{L}^{-2}\text{T}^{2}$ | thermal resistance $[F^{-1}L^{-1}TΘ]$ |
| $\text{L}^{-1}\text{T}^{-1}$ | lapse rate $[L^{-1}Θ]$ |
| $\text{M}^{-2}\text{L}^{-1}\text{T}\cdot \text{Q}^{2}$ | molar conductivity $[F^{-1}T^{-1}Q^{2}N^{-1}]$ |
| $\text{M}^{-1}\text{L}^{3}\text{T}^{-1}$ | specificity $[L^{3}T^{-1}N^{-1}]$ |
| $\text{M}\cdot \text{L}^{-2}\text{T}$ | diffusion flux $[L^{-2}TN]$ |
| $\text{T}^{2}$ | luminous flux $[J]$, luminous intensity $[JA^{-2}]$ |
| $\text{L}^{-2}\text{T}^{2}$ | luminance $[L^{-2}JA^{-2}]$, illuminance $[L^{-2}J]$ |
| $\text{T}^{3}$ | luminous energy $[TJ]$ |
| $\text{L}^{-2}\text{T}^{3}$ | luminous exposure $[L^{-2}TJ]$ |
| $\text{M}^{-1}\text{L}^{-2}\text{T}^{5}$ | luminous efficacy $[F^{-1}L^{-1}TJ]$ |