Schrodinger
$\text{F}=MLT^{-2}, \text{M}, \text{L}, \text{T}, \text{Q}, \Theta=T^{-1}, \text{N}=M, \text{J}=T^{2}, \text{A}=\mathbb{1}, \text{R}=\mathbb{1}, \text{C}=\mathbb{1}$
- Schrodinger
- 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 | $1.089471(12) \times 10^{-28}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\Delta\nu_\text{Cs}\cdot \alpha^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| light speed | $137.035999084(21)$ $[\text{L}\cdot \text{T}^{-1}]$ | $\alpha^{-1}$ |
| 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 | $4.899602(54) \times 10^{-22}$ $[\text{M}]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\text{m}_\text{P}^{-1}2$ |
| molar mass | $1.0$ $[\mathbb{1}]$ | $1$ |
| Boltzmann | $1.0$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}]$ | $1$ |
| vacuum permeability | $0.00066917625662(21)$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}\tau\cdot 2$ |
| 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 | $8.931429(98) \times 10^{-19}$ $[\text{M}]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2$ |
| proton mass | $8.996418(99) \times 10^{-19}$ $[\text{M}]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\mu_\text{eu}^{-1}\mu_\text{pu}\cdot \text{m}_\text{P}^{-1}2$ |
| Planck mass | $11.70623761437(90)$ $[\text{M}]$ | $\alpha^{-1/2}$ |
| Newton gravitation | $1.0$ $[\text{M}^{-1}\text{L}^{3}\text{T}^{-2}]$ | $1$ |
| Gauss gravitation | $2.359628(26) \times 10^{-45}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{k}_\text{G}\cdot \text{m}_\text{P}^{-1}2^{-14}3^{-7}5^{-5}$ |
| Einstein gravitation | $7.1269084156(44) \times 10^{-8}$ $[\text{M}^{-1}\text{L}^{-1}\text{T}^{2}]$ | $\alpha^{4}\tau\cdot 2^{2}$ |
| Hartree | $4.899602(54) \times 10^{-22}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-5/2}\text{m}_\text{P}^{-1}2$ |
| Rydberg | $2.845223(31) \times 10^{-25}$ $[\text{L}^{-1}]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| Bohr radius | $2.040982(23) \times 10^{21}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-1}$ |
| electron radius | $1.086851(12) \times 10^{17}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{9/2}\text{m}_\text{P}\cdot 2^{-1}$ |
| Avogadro | $1.119642(12) \times 10^{18}$ $[\text{M}^{-1}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$ |
| Molar gas | $1.119642(12) \times 10^{18}$ $[\text{L}^{2}\text{T}^{-1}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$ |
| Stefan-Boltzmann | $8.7594967156(27) \times 10^{-6}$ $[\text{M}\cdot \text{T}]$ | $\alpha^{2}\tau^{2}2^{-4}3^{-1}5^{-1}$ |
| radiation density | $2.5568454345(12) \times 10^{-7}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{2}]$ | $\alpha^{3}\tau^{2}2^{-2}3^{-1}5^{-1}$ |
| 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 | $5.3251354520(16) \times 10^{-5}$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}$ |
| Biot-Savart | $5.3251354520(16) \times 10^{-5}$ $[\text{M}\cdot \text{L}\cdot \text{Q}^{-2}]$ | $\alpha^{2}$ |
| elementary charge | $1.0$ $[\text{e}]$ | $1$ |
| Faraday | $1.119642(12) \times 10^{18}$ $[\text{M}^{-1}\text{Q}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\mu_\text{eu}\cdot \text{m}_\text{P}\cdot 2^{-1}$ |
| vacuum impedance | $0.091701236889(14)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\alpha\cdot \tau\cdot 2$ |
| conductance quantum | $0.3183098861837907$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\tau^{-1}2$ |
| Klitzing | $6.283185307179586$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\tau$ |
| Josephson | $0.3183098861837907$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}]$ | $\tau^{-1}2$ |
| magnetic flux quantum | $3.141592653589793$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\tau\cdot 2^{-1}$ |
| magneton | $1.020491(11) \times 10^{21}$ $[\text{L}^{2}\text{T}^{-1}\text{Q}]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{5/2}\text{m}_\text{P}\cdot 2^{-2}$ |
| Loschmidt | $4.68293(15) \times 10^{-70}$ $[\text{L}^{-3}]$ | $\text{k}_\text{B}^{-1}\hbar^{3}\text{c}^{-3}\alpha^{-9/2}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-3}\tau^{-3}$ |
| Wien wavelength | $173.414454494(27)$ $[\text{L}\cdot \text{T}^{-1}]$ | |
| Wien frequency | $0.44904602270732236$ $[\mathbb{1}]$ | |
| Sackur-Tetrode | $-1.1648705244(12)$ $[\mathbb{1}]$ | |
| Eddington | $1.374(10) \times 10^{61}$ $[\text{M}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{-1/2}\Omega_{\Lambda}^{-1/2}\text{H}_0^{-1}\text{au}\cdot \text{m}_\text{P}\cdot \tau^{-1/2}2^{9}3^{7/2}5^{6}$ |
| solar mass | $1.069492(12) \times 10^{39}$ $[\text{M}]$ | $\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}\cdot \tau^{3}2^{-28}3^{-14}5^{-10}$ |
| Jupiter mass | $1.020931(11) \times 10^{36}$ $[\text{M}]$ | $\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{J}\cdot \tau$ |
| Earth mass | $3.212209(35) \times 10^{33}$ $[\text{M}]$ | $\hbar^{-1}\text{c}^{-1}\alpha^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}\cdot \tau$ |
| g-force | $5.312642(59) \times 10^{-44}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-7/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$ |
| Earth radius | $2.458932(27) \times 10^{38}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau$ |
| great circle | $1.544993(17) \times 10^{39}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}$ |
| nautical mile | $7.152744(79) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$ |
| Hubble | $2.599(16) \times 10^{-56}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{H}_0\cdot \text{au}^{-1}\text{m}_\text{P}^{-1}2^{-10}3^{-4}5^{-6}$ |
| cosmological | $7.43(11) \times 10^{-116}$ $[\text{L}^{-2}]$ | $\hbar^{2}\text{c}^{-4}\alpha^{-3}\Omega_{\Lambda}\cdot \text{H}_0^{2}\text{au}^{-2}\text{m}_\text{P}^{-2}2^{-20}3^{-7}5^{-12}$ |
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 | $8.437700(93) \times 10^{37}$ $[\text{T}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{5/2}\text{m}_\text{P}\cdot \tau$ |
| minute | $5.062620(56) \times 10^{39}$ $[\text{T}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{5/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}3\cdot 5$ |
| hour | $3.037572(33) \times 10^{41}$ $[\text{T}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{5/2}\text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{2}5^{2}$ |
| day | $7.290173(80) \times 10^{42}$ $[\text{T}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{5/2}\text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$ |
| year | $2.662736(29) \times 10^{45}$ $[\text{T}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{5/2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$ |
Length Units
| Name | Quantity | Product |
|---|---|---|
| angstrom | $3.856897(43) \times 10^{21}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-10}5^{-10}$ |
| inch | $9.79652(11) \times 10^{29}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{-2}3^{-1}$ |
| foot | $1.175582(13) \times 10^{31}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau$ |
| survey foot | $1.175585(13) \times 10^{31}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau$ |
| yard | $3.526747(39) \times 10^{31}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 3$ |
| meter | $3.856897(43) \times 10^{31}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau$ |
| Earth meter | $3.862482(43) \times 10^{31}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-9}5^{-7}$ |
| mile | $6.207074(68) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$ |
| statute mile | $6.207086(68) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}_\text{US}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{5}3\cdot 5\cdot 11$ |
| meridian mile | $7.142402(79) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{4}3^{-3}5^{5}$ |
| admiralty mile | $7.147540(79) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{ft}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{6}5\cdot 19$ |
| nautical mile | $7.152744(79) \times 10^{34}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{g}_0^{-1/2}\text{m}_\text{P}\cdot \text{GM}_\text{E}^{1/2}\tau^{2}2^{-5}3^{-3}5^{-2}$ |
| lunar distance | $1.482587(16) \times 10^{40}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{3}3^{3}5^{3}14237$ |
| astronomical unit | $5.769836(64) \times 10^{42}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{au}\cdot \text{m}_\text{P}\cdot \tau$ |
| Jupiter distance | $3.002513(33) \times 10^{43}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{6}3\cdot 5^{6}259493$ |
| light-year | $3.648906(40) \times 10^{47}$ $[\text{L}]$ | $\hbar^{-1}\text{c}^{2}\alpha^{3/2}\text{a}_\text{j}\cdot \text{m}_\text{P}\cdot \tau\cdot 2^{7}3^{3}5^{2}$ |
| parsec | $1.190114(13) \times 10^{48}$ $[\text{L}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{au}\cdot \text{m}_\text{P}\cdot 2^{7}3^{4}5^{3}$ |
Speed Units
| Name | Quantity | Product |
|---|---|---|
| Bubnoff | $1.44847165323(22) \times 10^{-14}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{a}_\text{j}^{-1}2^{-7}3^{-3}5^{-2}$ |
| feet per minute | $2.32208268344(36) \times 10^{-9}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-2}3^{-1}5^{-1}$ |
| inches per second | $1.16104134172(18) \times 10^{-8}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{-2}3^{-1}$ |
| kilometers per hour | $1.26973025122(19) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}2^{-1}3^{-2}5$ |
| feet per second | $1.39324961006(21) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}$ |
| miles per hour | $2.04343276142(31) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2\cdot 3^{-1}5^{-1}11$ |
| knot | $2.3547572029(24) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{g}_0^{-1/2}\text{GM}_\text{E}^{1/2}\tau\cdot 2^{-9}3^{-5}5^{-4}$ |
| meters per second | $4.57102890440(70) \times 10^{-7}$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}$ |
| miles per second | $0.00073563579411(11)$ $[\text{L}\cdot \text{T}^{-1}]$ | $\text{c}^{-1}\alpha^{-1}\text{ft}\cdot 2^{5}3\cdot 5\cdot 11$ |
Area Units
| Name | Quantity | Product |
|---|---|---|
| barn | $1.487565(33) \times 10^{35}$ $[\text{L}^{2}]$ | $\hbar^{-2}\text{c}^{2}\alpha^{3}\text{m}_\text{P}^{2}\tau^{2}2^{-28}5^{-28}$ |
| hectare | $1.487565(33) \times 10^{67}$ $[\text{L}^{2}]$ | $\hbar^{-2}\text{c}^{2}\alpha^{3}\text{m}_\text{P}^{2}\tau^{2}2^{4}5^{4}$ |
| acre | $6.01996(13) \times 10^{66}$ $[\text{L}^{2}]$ | $\hbar^{-2}\text{c}^{2}\alpha^{3}\text{ft}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$ |
| survey acre | $6.01999(13) \times 10^{66}$ $[\text{L}^{2}]$ | $\hbar^{-2}\text{c}^{2}\alpha^{3}\text{ft}_\text{US}^{2}\text{m}_\text{P}^{2}\tau^{2}2^{3}3^{2}5\cdot 11^{2}$ |
Volume Units
| Name | Quantity | Product |
|---|---|---|
| liter | $5.73739(19) \times 10^{91}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{m}_\text{P}^{3}\tau^{3}2^{-3}5^{-3}$ |
| gallon | $2.171837(72) \times 10^{92}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3^{-2}7\cdot 11$ |
| quart | $5.42959(18) \times 10^{91}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-8}3^{-2}7\cdot 11$ |
| pint | $2.714796(90) \times 10^{91}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-9}3^{-2}7\cdot 11$ |
| cup | $1.357398(45) \times 10^{91}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-10}3^{-2}7\cdot 11$ |
| fluid ounce | $1.696748(56) \times 10^{90}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{ft}^{3}\text{m}_\text{P}^{3}\tau^{3}2^{-13}3^{-2}7\cdot 11$ |
| teaspoon | $2.868693(95) \times 10^{89}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{m}_\text{P}^{3}\tau^{3}2^{-6}5^{-5}$ |
| tablespoon | $8.60608(28) \times 10^{89}$ $[\text{L}^{3}]$ | $\hbar^{-3}\text{c}^{3}\alpha^{9/2}\text{m}_\text{P}^{3}\tau^{3}2^{-6}3\cdot 5^{-5}$ |
Mass Units
| Name | Quantity | Product |
|---|---|---|
| gram | $537863.2(59)$ $[\text{M}]$ | $\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$ |
| Earth gram | $540203.2(60)$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$ |
| kilogram | $5.378632(59) \times 10^{8}$ $[\text{M}]$ | $\alpha^{-1/2}\text{m}_\text{P}^{-1}$ |
| tonne | $5.378632(59) \times 10^{11}$ $[\text{M}]$ | $\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{3}5^{3}$ |
| ton | $4.879413(54) \times 10^{11}$ $[\text{M}]$ | $\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| pound (mass) | $2.439706(27) \times 10^{8}$ $[\text{M}]$ | $\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}$ |
| ounce | $1.524817(17) \times 10^{7}$ $[\text{M}]$ | $\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-4}$ |
| grain | $34852.95(38)$ $[\text{M}]$ | $\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{-3}5^{-3}7^{-1}$ |
| slug | $7.849523(87) \times 10^{9}$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$ |
| slinch | $9.41943(10) \times 10^{10}$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$ |
| hyl | $5.274636(58) \times 10^{9}$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}$ |
Force Units
| Name | Quantity | Product |
|---|---|---|
| dyne | $2.913813(64) \times 10^{-41}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-4}\text{m}_\text{P}^{-2}\tau^{-1}2^{-5}5^{-5}$ |
| newton | $2.913813(64) \times 10^{-36}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-4}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| poundal | $4.028491(89) \times 10^{-37}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-4}\text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}$ |
| pound (force) | $1.296129(29) \times 10^{-35}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-4}\text{g}_0\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}$ |
| kilopond | $2.857475(63) \times 10^{-35}$ $[\text{M}\cdot \text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-4}\text{g}_0\cdot \text{m}_\text{P}^{-2}\tau^{-1}$ |
Presure Units
| Name | Quantity | Product |
|---|---|---|
| pounds per square inch | $1.350531(60) \times 10^{-95}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}3^{2}$ |
| pascal | $1.958780(86) \times 10^{-99}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| barye | $1.958780(86) \times 10^{-100}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{m}_\text{P}^{-4}\tau^{-3}2^{-1}5^{-1}$ |
| bar | $1.958780(86) \times 10^{-94}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{m}_\text{P}^{-4}\tau^{-3}2^{5}5^{5}$ |
| technical atmosphere | $1.920907(85) \times 10^{-94}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{g}_0\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$ |
| atmosphere | $1.984734(88) \times 10^{-94}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}$ |
| inch mercury | $6.63319(29) \times 10^{-96}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{in}_\text{Hg}^{-1}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| torr | $2.61149(12) \times 10^{-97}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-2}]$ | $\hbar^{3}\text{c}^{-5}\alpha^{-7}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2^{-3}5^{-1}19^{-1}$ |
Energy Units
| Name | Quantity | Product |
|---|---|---|
| erg | $1.123828(12) \times 10^{-11}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$ |
| joule | $0.0001123828(12)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}$ |
| foot-pound | $0.0001523706(17)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-1}$ |
| calorie | $0.0004705172(52)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}$ |
| kilocalorie | $0.4705172(52)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}3^{2}5^{4}43^{-1}$ |
| mean calorie | $0.0004705289(52)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}2^{2}3^{2}5\cdot 43^{-1}1.0001900224889804$ |
| Earth calorie | $0.0004725641(52)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{g}_0^{-3/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-25}3^{2}5^{-20}43^{-1}$ |
| British thermal unit | $0.1185683(13)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{5}5^{5}43^{-1}$ |
| gas gallon | $13516.79(15)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{9}3\cdot 5^{8}19\cdot 43^{-1}$ |
| ton TNT | $470517.2(52)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-5/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-1}2^{11}3^{2}5^{10}43^{-1}$ |
| electronvolt | $1.800571(20) \times 10^{-23}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\text{e}\cdot \alpha^{-5/2}\text{m}_\text{P}^{-1}$ |
Power Units
| Name | Quantity | Product |
|---|---|---|
| watt | $1.331913(29) \times 10^{-42}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| horsepower (Watt) | $9.80326(22) \times 10^{-40}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}2^{4}3^{3}5^{-1}$ |
| horsepower (Metric) | $9.79620(22) \times 10^{-40}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{g}_0\cdot \text{m}_\text{P}^{-2}\tau^{-1}3\cdot 5^{2}$ |
| horsepower | $9.93207(22) \times 10^{-40}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{g}_0\cdot \text{ft}\cdot \text{lb}\cdot \text{m}_\text{P}^{-2}\tau^{-1}2\cdot 5^{2}11$ |
| electrical horsepower | $9.93607(22) \times 10^{-40}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{m}_\text{P}^{-2}\tau^{-1}2373$ |
| tons refrigeration | $4.68407(10) \times 10^{-39}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}\tau^{-1}2^{6}3^{-1}5^{6}43^{-1}$ |
| boiler horsepower | $1.306660(29) \times 10^{-38}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-3}]$ | $\hbar\cdot \text{c}^{-4}\alpha^{-5}\text{lb}\cdot \Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-2}\tau^{-1}2\cdot 3^{-2}5^{5}43^{-1}1339$ |
Thermodynamic Units
| Name | Quantity | Product |
|---|---|---|
| Kelvin | $1.551612(17) \times 10^{-27}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| Rankine | $8.620065(95) \times 10^{-28}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}$ |
| Celsius | $4.238227(47) \times 10^{-25}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{T}_0\cdot \text{m}_\text{P}^{-1}2^{4}5^{3}$ |
| Fahrenheit | $3.962385(44) \times 10^{-25}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}3^{-2}5^{4}459.67$ |
| sea level | $4.470969(49) \times 10^{-25}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}288.15$ |
| boiling | $5.789589(64) \times 10^{-25}$ $[\text{T}^{-1}]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-3}\text{R}_{\infty}\cdot \alpha^{-9/2}\mu_\text{eu}^{-1}\text{m}_\text{P}^{-1}2^{4}5^{3}373.1339$ |
| mole | $537863.2(59)$ $[\text{M}]$ | $\alpha^{-1/2}\text{m}_\text{P}^{-1}2^{-3}5^{-3}$ |
| Earth-mole | $540203.2(60)$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0^{-3/2}\text{m}_\text{P}^{-1}\text{GM}_\text{E}^{3/2}\tau^{3}2^{-30}5^{-24}$ |
| pound-mole | $2.439706(27) \times 10^{8}$ $[\text{M}]$ | $\alpha^{-1/2}\text{lb}\cdot \text{m}_\text{P}^{-1}$ |
| slug-mole | $7.849523(87) \times 10^{9}$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}$ |
| slinch-mole | $9.41943(10) \times 10^{10}$ $[\text{M}]$ | $\alpha^{-1/2}\text{g}_0\cdot \text{ft}^{-1}\text{lb}\cdot \text{m}_\text{P}^{-1}2^{2}3$ |
| katal | $6.37452(14) \times 10^{-33}$ $[\text{M}\cdot \text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-3}\text{m}_\text{P}^{-2}\tau^{-1}2^{-3}5^{-3}$ |
| amagat | $4.18253(18) \times 10^{-88}$ $[\text{M}\cdot \text{L}^{-3}]$ | $\text{k}_\text{B}^{-1}\hbar^{4}\text{c}^{-4}\text{R}_{\infty}\cdot \alpha^{-7}\mu_\text{eu}^{-1}\text{T}_0^{-1}\text{atm}\cdot \text{m}_\text{P}^{-4}\tau^{-3}2$ |
Photometric Units
| Name | Quantity | Product |
|---|---|---|
| lumen | $1.950035(43) \times 10^{-45}$ $[\text{T}^{2}]$ | $\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\alpha^{-5}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| candela | $1.950035(43) \times 10^{-45}$ $[\text{T}^{2}]$ | $\hbar\cdot \text{c}^{-4}\text{K}_\text{cd}^{-1}\alpha^{-5}\text{m}_\text{P}^{-2}\tau^{-1}$ |
| lux | $1.310890(58) \times 10^{-108}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| phot | $1.310890(58) \times 10^{-104}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$ |
| foot-candle | $1.411031(62) \times 10^{-107}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| nit | $1.310890(58) \times 10^{-108}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| abostilb | $4.17269(18) \times 10^{-109}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-4}2$ |
| stilb | $1.310890(58) \times 10^{-104}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-3}2^{4}5^{4}$ |
| lambert | $4.17269(18) \times 10^{-105}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-4}2^{5}5^{4}$ |
| foot-lambert | $4.49145(20) \times 10^{-108}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{ft}^{-2}\text{m}_\text{P}^{-4}\tau^{-4}2$ |
| bril | $4.17269(18) \times 10^{-116}$ $[\text{L}^{-2}\text{T}^{2}]$ | $\hbar^{3}\text{c}^{-6}\text{K}_\text{cd}^{-1}\alpha^{-8}\text{m}_\text{P}^{-4}\tau^{-4}2^{-6}5^{-7}$ |
| talbot | $1.645381(18) \times 10^{-7}$ $[\text{T}^{3}]$ | $\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-5/2}\text{m}_\text{P}^{-1}$ |
| lumerg | $1.645381(18) \times 10^{-14}$ $[\text{T}^{3}]$ | $\text{c}^{-2}\text{K}_\text{cd}^{-1}\alpha^{-5/2}\text{m}_\text{P}^{-1}2^{-7}5^{-7}$ |
Sepcialized Units
| Name | Quantity | Product |
|---|---|---|
| hertz | $1.185157(13) \times 10^{-38}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| actions per minute | $1.975262(22) \times 10^{-40}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}3^{-1}5^{-1}$ |
| revolutions per minute | $1.241094(14) \times 10^{-39}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}2^{-2}3^{-1}5^{-1}$ |
| kayser | $2.592758(29) \times 10^{-30}$ $[\text{L}^{-1}]$ | $\hbar\cdot \text{c}^{-1}\alpha^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{2}5^{2}$ |
| diopter | $2.592758(29) \times 10^{-32}$ $[\text{L}^{-1}]$ | $\hbar\cdot \text{c}^{-1}\alpha^{-3/2}\text{m}_\text{P}^{-1}\tau^{-1}$ |
| rayleigh | $5.672154(63) \times 10^{-16}$ $[\text{L}^{-2}\text{T}]$ | $\hbar\cdot \alpha^{-1/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{10}5^{10}$ |
| flick | $2.32146(13) \times 10^{-127}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-3}]$ | $\hbar^{4}\text{c}^{-7}\alpha^{-19/2}\text{m}_\text{P}^{-5}\tau^{-4}2^{10}5^{10}$ |
| g-force | $5.312642(59) \times 10^{-44}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-7/2}\text{g}_0\cdot \text{m}_\text{P}^{-1}\tau^{-1}$ |
| galileo | $5.417387(60) \times 10^{-47}$ $[\text{L}\cdot \text{T}^{-2}]$ | $\hbar\cdot \text{c}^{-3}\alpha^{-7/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{-2}5^{-2}$ |
| eotvos | $1.404597(31) \times 10^{-85}$ $[\text{T}^{-2}]$ | $\hbar^{2}\text{c}^{-4}\alpha^{-5}\text{m}_\text{P}^{-2}\tau^{-2}2^{-9}5^{-9}$ |
| darcy | $1.468113(32) \times 10^{51}$ $[\text{L}^{2}]$ | $\hbar^{-2}\text{c}^{2}\alpha^{3}\text{atm}^{-1}\text{m}_\text{P}^{2}\tau^{2}2^{-7}5^{-7}$ |
| poise | $1.652760(55) \times 10^{-62}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-1}]$ | $\hbar^{2}\text{c}^{-3}\alpha^{-9/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-1}5^{-1}$ |
| reyn | $1.139538(38) \times 10^{-57}$ $[\text{M}\cdot \text{L}^{-1}\text{T}^{-1}]$ | $\hbar^{2}\text{c}^{-3}\alpha^{-9/2}\text{g}_0\cdot \text{ft}^{-2}\text{lb}\cdot \text{m}_\text{P}^{-3}\tau^{-2}2^{4}3^{2}$ |
| stokes | $1.762999(19) \times 10^{21}$ $[\text{L}^{2}\text{T}^{-1}]$ | $\hbar^{-1}\alpha^{1/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-4}5^{-4}$ |
| rayl | $4.28521(19) \times 10^{-93}$ $[\text{M}\cdot \text{L}^{-2}\text{T}^{-1}]$ | $\hbar^{3}\text{c}^{-4}\alpha^{-6}\text{m}_\text{P}^{-4}\tau^{-3}$ |
| mpg equivalent | $4.59212(10) \times 10^{30}$ $[\text{M}^{-1}\text{L}^{-1}\text{T}^{2}]$ | $\hbar^{-1}\text{c}^{3}\alpha^{4}\text{ft}\cdot \text{lb}^{-1}\Omega_\text{it}\cdot \text{V}_\text{it}^{-2}\text{m}_\text{P}^{2}\tau\cdot 2^{-4}5^{-7}11\cdot 19^{-1}43$ |
| langley | $3.16300(10) \times 10^{-63}$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{2}\text{c}^{-4}\alpha^{-11/2}\Omega_\text{it}^{-1}\text{V}_\text{it}^{2}\text{m}_\text{P}^{-3}\tau^{-2}2^{6}3^{2}5^{5}43^{-1}$ |
| jansky | $7.55481(25) \times 10^{-94}$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{2}\text{c}^{-4}\alpha^{-11/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-26}5^{-26}$ |
| solar flux | $7.55481(25) \times 10^{-90}$ $[\text{M}\cdot \text{T}^{-2}]$ | $\hbar^{2}\text{c}^{-4}\alpha^{-11/2}\text{m}_\text{P}^{-3}\tau^{-2}2^{-22}5^{-22}$ |
| curie | $4.385081(48) \times 10^{-28}$ $[\text{T}^{-1}]$ | $\hbar\cdot \text{c}^{-2}\alpha^{-5/2}\text{m}_\text{P}^{-1}\tau^{-1}2^{9}5^{9}37$ |
| gray | $2.08943052449(64) \times 10^{-13}$ $[\text{L}^{2}\text{T}^{-2}]$ | $\text{c}^{-2}\alpha^{-2}$ |
| roentgen | $2.993633(33) \times 10^{6}$ $[\text{M}^{-1}\text{Q}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\text{m}_\text{P}\cdot \tau^{1/2}2^{3/2}5^{3/2}/1.293$ |
Charge Units
| Name | Quantity | Product |
|---|---|---|
| coulomb | $6.24150907276(48) \times 10^{18}$ $[\text{e}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-7/2}5^{-7/2}$ |
| Earth coulomb | $6.259598248(13) \times 10^{18}$ $[\text{e}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\text{g}_0^{-1}\text{GM}_\text{E}\cdot \tau^{5/2}2^{-43/2}5^{-35/2}$ |
| abcoulomb | $6.24150907276(48) \times 10^{19}$ $[\text{e}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$ |
| statcoulomb | $2.08194332653(16) \times 10^{9}$ $[\text{e}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{-1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$ |
Current Units
| Name | Quantity | Product |
|---|---|---|
| ampere | $7.397169(82) \times 10^{-20}$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{1/2}\text{c}^{-3/2}\alpha^{-3}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-7/2}5^{-7/2}$ |
| abampere | $7.397169(82) \times 10^{-19}$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{1/2}\text{c}^{-3/2}\alpha^{-3}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$ |
| statampere | $2.467430(27) \times 10^{-29}$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{1/2}\text{c}^{-5/2}\alpha^{-3}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$ |
Electromotive Units
| Name | Quantity | Product |
|---|---|---|
| volt | $1.800571(20) \times 10^{-23}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{1/2}\text{c}^{-5/2}\alpha^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{7/2}5^{7/2}$ |
| abvolt | $1.800571(20) \times 10^{-31}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{1/2}\text{c}^{-5/2}\alpha^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-9/2}5^{-9/2}$ |
| statvolt | $5.397975(60) \times 10^{-21}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-2}\text{Q}^{-1}]$ | $\hbar^{1/2}\text{c}^{-3/2}\alpha^{-2}\text{m}_\text{P}^{-1}\tau^{-1/2}2^{-5/2}5^{-5/2}$ |
Inductance Units
| Name | Quantity | Product |
|---|---|---|
| henry | $2.053850(23) \times 10^{34}$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{7/2}\text{m}_\text{P}\cdot \tau\cdot 2^{7}5^{7}$ |
| abhenry | $2.053850(23) \times 10^{25}$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{7/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$ |
| stathenry | $1.845908(20) \times 10^{46}$ $[\text{M}\cdot \text{L}^{2}\text{Q}^{-2}]$ | $\hbar^{-1}\text{c}^{3}\alpha^{7/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$ |
Resistance Units
| Name | Quantity | Product |
|---|---|---|
| ohm | $0.000243413480712(37)$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}^{-1}\alpha\cdot 2^{7}5^{7}$ |
| abohm | $2.43413480712(37) \times 10^{-13}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}^{-1}\alpha\cdot 2^{-2}5^{-2}$ |
| statohm | $2.18769126364(34) \times 10^{8}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-2}]$ | $\text{c}\cdot \alpha\cdot 2^{2}5^{2}$ |
Conductance Units
| Name | Quantity | Product |
|---|---|---|
| siemens | $4108.23589999(63)$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}\cdot \alpha^{-1}2^{-7}5^{-7}$ |
| abmho | $4.10823589999(63) \times 10^{12}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}\cdot \alpha^{-1}2^{2}5^{2}$ |
| statmho | $4.57102890440(70) \times 10^{-9}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}\cdot \text{Q}^{2}]$ | $\text{c}^{-1}\alpha^{-1}2^{-2}5^{-2}$ |
Capacitance Units
| Name | Quantity | Product |
|---|---|---|
| farad | $3.466406(38) \times 10^{41}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\hbar^{-1}\text{c}^{3}\alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-7}5^{-7}$ |
| abfarad | $3.466406(38) \times 10^{50}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\hbar^{-1}\text{c}^{3}\alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{2}5^{2}$ |
| statfarad | $3.856897(43) \times 10^{29}$ $[\text{M}^{-1}\text{L}^{-2}\text{T}^{2}\text{Q}^{2}]$ | $\hbar^{-1}\text{c}\cdot \alpha^{3/2}\text{m}_\text{P}\cdot \tau\cdot 2^{-2}5^{-2}$ |
Magnetic Flux Units
| Name | Quantity | Product |
|---|---|---|
| weber | $1.51926744829(12) \times 10^{15}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{7/2}5^{7/2}$ |
| maxwell | $1.51926744829(12) \times 10^{7}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{1/2}2^{-9/2}5^{-9/2}$ |
| statfarad | $4.55464922683(35) \times 10^{17}$ $[\text{M}\cdot \text{L}^{2}\text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{-1/2}\text{c}^{1/2}\alpha^{1/2}\tau^{1/2}2^{-5/2}5^{-5/2}$ |
Magnetic Flux Density Units
| Name | Quantity | Product |
|---|---|---|
| tesla | $1.021311(23) \times 10^{-48}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{3/2}\text{c}^{-5/2}\alpha^{-5/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{7/2}5^{7/2}$ |
| gauss | $1.021311(23) \times 10^{-52}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{3/2}\text{c}^{-5/2}\alpha^{-5/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{-1/2}5^{-1/2}$ |
| stattesla | $3.061814(68) \times 10^{-42}$ $[\text{M}\cdot \text{T}^{-1}\text{Q}^{-1}]$ | $\hbar^{3/2}\text{c}^{-3/2}\alpha^{-5/2}\text{m}_\text{P}^{-2}\tau^{-3/2}2^{3/2}5^{3/2}$ |
Magnetic Specialized Units
| Name | Quantity | Product |
|---|---|---|
| oersted | $1.526222(34) \times 10^{-49}$ $[\text{L}^{-1}\text{T}^{-1}\text{Q}]$ | $\hbar^{3/2}\text{c}^{-5/2}\alpha^{-9/2}\text{m}_\text{P}^{-2}\tau^{-5/2}2^{-3/2}5^{-1/2}$ |
| gilbert | $5.886480(65) \times 10^{-20}$ $[\text{T}^{-1}\text{Q}]$ | $\hbar^{1/2}\text{c}^{-3/2}\alpha^{-3}\text{m}_\text{P}^{-1}\tau^{-3/2}2^{-7/2}5^{-5/2}$ |
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 $[Θ^{-1}]$ |
| $\text{L}$ | length $[L]$, angular length $[LA^{-1}]$ |
| $\text{L}^{2}$ | area $[L^{2}]$, angular area $[L^{2}A^{-2}]$, etendue $[L^{2}A^{2}]$ |
| $\text{L}^{3}$ | volume $[L^{3}]$, magnetic polarizability $[L^{3}A^{-1}R^{-1}]$ |
| $\text{L}^{-1}$ | wavenumber $[L^{-1}]$, angular wavenumber $[L^{-1}A]$ |
| $\text{L}^{-2}$ | fuel efficiency $[L^{-2}]$ |
| $\text{L}^{-3}$ | 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 $[ML^{-4}]$ |
| $\text{e}$ | 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 $[F^{-1}L^{-1}TJ]$ |