Hartree -> Metric
data derived with UnitSystems.jl
Kinematic Ratios
| Name | Quantity | Product |
|---|---|---|
| angle | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| solid angle | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| time | $2.4188843265857(46) \times 10^{-17}$ $\left[\text{s}\right]/\left[\text{a}_0^{2}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{-1}$ |
| angular time | $2.4188843265857(46) \times 10^{-17}$ $\left[\text{s}\right]/\left[\text{a}_0^{2}\right]$ | $\text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-1}2^{-1}$ |
| length | $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]/\left[\text{a}_0\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ |
| angular length | $5.29177210902(81) \times 10^{-11}$ $\left[\text{m}\right]/\left[\text{a}_0\right]$ | $\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{-1}$ |
| area | $2.80028520538(86) \times 10^{-21}$ $\left[\text{m}^{2}\right]/\left[\text{a}_0^{2}\right]$ | $\text{R}_{\infty}^{-2}\alpha^{2}\tau^{-2}2^{-2}$ |
| angular area | $2.80028520538(86) \times 10^{-21}$ $\left[\text{m}^{2}\right]/\left[\text{a}_0^{2}\right]$ | $\text{R}_{\infty}^{-2}\alpha^{2}\tau^{-2}2^{-2}$ |
| volume | $1.48184711472(68) \times 10^{-31}$ $\left[\text{m}^{3}\right]/\left[\text{a}_0^{3}\right]$ | $\text{R}_{\infty}^{-3}\alpha^{3}\tau^{-3}2^{-3}$ |
| wavenumber | $1.88972612463(29) \times 10^{10}$ $\left[\text{m}^{-1}\right]/\left[\text{a}_0^{-1}\right]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2$ |
| angular wavenumber | $1.88972612463(29) \times 10^{10}$ $\left[\text{m}^{-1}\right]/\left[\text{a}_0^{-1}\right]$ | $\text{R}_{\infty}\cdot \alpha^{-1}\tau\cdot 2$ |
| fuel efficiency | $3.5710648261(11) \times 10^{20}$ $\left[\text{m}^{-2}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{R}_{\infty}^{2}\alpha^{-2}\tau^{2}2^{2}$ |
| number density | $6.7483344946(31) \times 10^{30}$ $\left[\text{m}^{-3}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{R}_{\infty}^{3}\alpha^{-3}\tau^{3}2^{3}$ |
| frequency | $4.1341373335183(79) \times 10^{16}$ $\left[\text{Hz}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2$ |
| angular frequency | $4.1341373335183(79) \times 10^{16}$ $\left[\text{Hz}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2$ |
| frequency drift | $1.7091091492390(65) \times 10^{33}$ $\left[\text{Hz} \cdot \text{s}^{-1}\right]/\left[\text{a}_0^{-4}\right]$ | $\text{c}^{2}\text{R}_{\infty}^{2}\tau^{2}2^{2}$ |
| stagnance | $4.57102890440(70) \times 10^{-7}$ $\left[\text{m}^{-1}\text{s}\right]/\left[\text{a}_0\right]$ | $\text{c}^{-1}\alpha^{-1}$ |
| speed | $2.18769126364(34) \times 10^{6}$ $\left[\text{m}\cdot \text{s}^{-1}\right]/\left[\text{a}_0^{-1}\right]$ | $\text{c}\cdot \alpha$ |
| acceleration | $9.0442161272(14) \times 10^{22}$ $\left[\text{m}\cdot \text{s}^{-2}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{c}^{2}\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2$ |
| jerk | $3.73900315439(57) \times 10^{39}$ $\left[\text{m}\cdot \text{s}^{-3}\right]/\left[\text{a}_0^{-5}\right]$ | $\text{c}^{3}\text{R}_{\infty}^{2}\alpha\cdot \tau^{2}2^{2}$ |
| snap | $1.54575525307(24) \times 10^{56}$ $\left[\text{m}\cdot \text{s}^{-4}\right]/\left[\text{a}_0^{-7}\right]$ | $\text{c}^{4}\text{R}_{\infty}^{3}\alpha\cdot \tau^{3}2^{3}$ |
| crackle | $6.39036450021(98) \times 10^{72}$ $\left[\text{m}\cdot \text{s}^{-5}\right]/\left[\text{a}_0^{-9}\right]$ | $\text{c}^{5}\text{R}_{\infty}^{4}\alpha\cdot \tau^{4}2^{4}$ |
| pop | $2.64186444551(41) \times 10^{89}$ $\left[\text{m}\cdot \text{s}^{-6}\right]/\left[\text{a}_0^{-11}\right]$ | $\text{c}^{6}\text{R}_{\infty}^{5}\alpha\cdot \tau^{5}2^{5}$ |
| volume flow | $6.1261594795(28) \times 10^{-15}$ $\left[\text{m}^{3}\text{s}^{-1}\right]/\left[\text{a}_0\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-2}\alpha^{3}\tau^{-2}2^{-2}$ |
| etendue | $2.80028520538(86) \times 10^{-21}$ $\left[\text{m}^{2}\right]/\left[\text{a}_0^{2}\right]$ | $\text{R}_{\infty}^{-2}\alpha^{2}\tau^{-2}2^{-2}$ |
| photon intensity | $4.1341373335183(79) \times 10^{16}$ $\left[\text{Hz}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{c}\cdot \text{R}_{\infty}\cdot \tau\cdot 2$ |
| photon irradiance | $8637.9927371(26)$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\mathbb{1}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2$ |
| photon radiance | $8637.9927371(26)$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\mathbb{1}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\tau\cdot 2$ |
Mechanical Ratios
| Name | Quantity | Product |
|---|---|---|
| inertia | $9.1093837016(28) \times 10^{-31}$ $\left[\text{kg}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}2$ |
| mass | $9.1093837016(28) \times 10^{-31}$ $\left[\text{kg}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}2$ |
| mass flow | $3.7659443246(12) \times 10^{-14}$ $\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{R}_{\infty}^{2}\alpha^{-2}\tau\cdot 2^{2}$ |
| linear density | $1.72142403601(79) \times 10^{-20}$ $\left[\text{kg}\cdot \text{m}^{-1}\right]/\left[\text{a}_0^{-1}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{2}\alpha^{-3}\tau\cdot 2^{2}$ |
| area density | $3.2530199724(20) \times 10^{-10}$ $\left[\text{kg}\cdot \text{m}^{-2}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{3}\alpha^{-4}\tau^{2}2^{3}$ |
| density | $6.1473168258(47)$ $\left[\text{kg}\cdot \text{m}^{-3}\right]/\left[\text{a}_0^{-3}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{4}\alpha^{-5}\tau^{3}2^{4}$ |
| specific weight | $5.5597661975(34) \times 10^{23}$ $\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{5}\alpha^{-4}\tau^{4}2^{5}$ |
| specific volume | $0.16267259820(12)$ $\left[\text{kg}^{-1}\text{m}^{3}\right]/\left[\text{a}_0^{3}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-4}\alpha^{5}\tau^{-3}2^{-4}$ |
| force | $8.2387234983(13) \times 10^{-8}$ $\left[\text{N}\right]/\left[\text{a}_0^{-3}\right]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{2}\alpha^{-1}\tau\cdot 2^{2}$ |
| specific force | $9.0442161272(14) \times 10^{22}$ $\left[\text{m}\cdot \text{s}^{-2}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{c}^{2}\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2$ |
| gravity force | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| pressure | $2.9421015697(14) \times 10^{13}$ $\left[\text{Pa}\right]/\left[\text{a}_0^{-5}\right]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{4}\alpha^{-3}\tau^{3}2^{4}$ |
| compressibility | $3.3989309217(16) \times 10^{-14}$ $\left[\text{Pa}^{-1}\right]/\left[\text{a}_0^{5}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-4}\alpha^{3}\tau^{-3}2^{-4}$ |
| viscosity | $0.00071166033741(33)$ $\left[\text{Pa} \cdot \text{s}\right]/\left[\text{a}_0^{-3}\right]$ | $\hbar\cdot \text{R}_{\infty}^{3}\alpha^{-3}\tau^{2}2^{3}$ |
| diffusivity | $0.000115767636121(35)$ $\left[\text{m}^{2}\text{s}^{-1}\right]/\left[\mathbb{1}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\alpha^{2}\tau^{-1}2^{-1}$ |
| rotational inertia | $2.5508872409632(49) \times 10^{-51}$ $\left[\text{kg}\cdot \text{m}^{2}\right]/\left[\text{a}_0^{2}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{-1}\tau^{-2}2^{-1}$ |
| impulse | $1.99285191410(31) \times 10^{-24}$ $\left[\text{N} \cdot \text{s}\right]/\left[\text{a}_0^{-1}\right]$ | $\hbar\cdot \text{R}_{\infty}\cdot \alpha^{-1}2$ |
| momentum | $1.99285191410(31) \times 10^{-24}$ $\left[\text{N} \cdot \text{s}\right]/\left[\text{a}_0^{-1}\right]$ | $\hbar\cdot \text{R}_{\infty}\cdot \alpha^{-1}2$ |
| angular momentum | $1.0545718176461565 \times 10^{-34}$ $\left[\text{J} \cdot \text{s}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \tau^{-1}$ |
| yank | $3.40600143947(52) \times 10^{9}$ $\left[\text{N} \cdot \text{s}^{-1}\right]/\left[\text{a}_0^{-5}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{3}\alpha^{-1}\tau^{2}2^{3}$ |
| energy | $4.3597447222072(83) \times 10^{-18}$ $\left[\text{J}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}\cdot 2$ |
| specific energy | $4.7859930650(15) \times 10^{12}$ $\left[\text{J} \cdot \text{kg}^{-1}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{c}^{2}\alpha^{2}$ |
| action | $1.0545718176461565 \times 10^{-34}$ $\left[\text{J} \cdot \text{s}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \tau^{-1}$ |
| fluence | $1556.89310283(48)$ $\left[\text{N} \cdot \text{m}^{-1}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}\cdot \text{R}_{\infty}^{3}\alpha^{-2}\tau^{2}2^{3}$ |
| power | $0.18023783420686(69)$ $\left[\text{W}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{2}\tau\cdot 2^{2}$ |
| power density | $1.21630519382(56) \times 10^{30}$ $\left[\text{W} \cdot \text{m}^{-3}\right]/\left[\text{a}_0^{-7}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{5}\alpha^{-3}\tau^{4}2^{5}$ |
| irradiance | $6.4364099007(20) \times 10^{19}$ $\left[\text{W} \cdot \text{m}^{-2}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{4}\alpha^{-2}\tau^{3}2^{4}$ |
| radiance | $6.4364099007(20) \times 10^{19}$ $\left[\text{W} \cdot \text{m}^{-2}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{4}\alpha^{-2}\tau^{3}2^{4}$ |
| radiant intensity | $0.18023783420686(69)$ $\left[\text{W}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{2}\tau\cdot 2^{2}$ |
| spectral flux | $3.40600143947(52) \times 10^{9}$ $\left[\text{N} \cdot \text{s}^{-1}\right]/\left[\text{a}_0^{-5}\right]$ | $\hbar\cdot \text{c}^{2}\text{R}_{\infty}^{3}\alpha^{-1}\tau^{2}2^{3}$ |
| spectral exposure | $3.7659443246(12) \times 10^{-14}$ $\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{R}_{\infty}^{2}\alpha^{-2}\tau\cdot 2^{2}$ |
| sound exposure | $2.0937769958(19) \times 10^{10}$ $\left[\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}\right]/\left[\text{a}_0^{-8}\right]$ | $\hbar^{2}\text{c}\cdot \text{R}_{\infty}^{7}\alpha^{-6}\tau^{5}2^{7}$ |
| impedance | $4.8025220034(44) \times 10^{27}$ $\left[\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{R}_{\infty}^{6}\alpha^{-6}\tau^{5}2^{6}$ |
| specific impedance | $1.34484313146(82) \times 10^{7}$ $\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{R}_{\infty}^{4}\alpha^{-4}\tau^{3}2^{4}$ |
| admittance | $2.0822392886(19) \times 10^{-28}$ $\left[\text{kg}^{-1}\text{m}^{4}\text{s}\right]/\left[\text{a}_0^{6}\right]$ | $\hbar^{-1}\text{R}_{\infty}^{-6}\alpha^{6}\tau^{-5}2^{-6}$ |
| compliance | $0.00064230485586(20)$ $\left[\text{m} \cdot \text{N}^{-1}\right]/\left[\text{a}_0^{4}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{R}_{\infty}^{-3}\alpha^{2}\tau^{-2}2^{-3}$ |
| inertance | $1.1616745202(11) \times 10^{11}$ $\left[\text{kg}\cdot \text{m}^{-4}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{5}\alpha^{-6}\tau^{4}2^{5}$ |
Electromagnetic Ratios
| Name | Quantity | Product |
|---|---|---|
| charge | $1.60217663444(12) \times 10^{-19}$ $\left[\text{C}\right]/\left[\text{e}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\alpha^{1/2}\tau^{-1/2}2^{7/2}5^{7/2}$ |
| charge density | $1.08120238487(41) \times 10^{12}$ $\left[\text{m}^{-3}\text{C}\right]/\left[\text{a}_0^{-3}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\text{R}_{\infty}^{3}\alpha^{-5/2}\tau^{5/2}2^{13/2}5^{7/2}$ |
| linear charge density | $3.02767504236(23) \times 10^{-9}$ $\left[\text{m}^{-1}\text{C}\right]/\left[\text{a}_0^{-1}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\text{R}_{\infty}\cdot \alpha^{-1/2}\tau^{1/2}2^{9/2}5^{7/2}$ |
| exposure | $1.75882001124(67) \times 10^{11}$ $\left[\text{kg}^{-1}\text{C}\right]/\left[\text{e}\right]$ | $\hbar^{-1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-1/2}2^{5/2}5^{7/2}$ |
| mobility | $0.00315019786041(72)$ $\left[\text{m}^2 \text{s}^{-1} \text{V}^{-1}\right]/\left[\text{a}_0^{-2}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{5/2}\alpha^{3/2}\tau^{-1/2}2^{-7/2}5^{-7/2}$ |
| current | $0.00662361823932(51)$ $\left[\text{s}^{-1}\text{C}\right]/\left[\text{a}_0^{-2}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}\cdot \alpha^{1/2}\tau^{1/2}2^{9/2}5^{7/2}$ |
| current density | $2.36533701160(54) \times 10^{18}$ $\left[\text{m}^{-2}\text{s}^{-1}\text{C}\right]/\left[\text{a}_0^{-4}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{3}\alpha^{-3/2}\tau^{5/2}2^{13/2}5^{7/2}$ |
| resistance | $4108.23589999(63)$ $\left[\Omega\right]/\left[\text{e}^{-2}\right]$ | $\text{c}\cdot \alpha^{-1}2^{-7}5^{-7}$ |
| conductance | $0.000243413480712(37)$ $\left[\text{S}\right]/\left[\text{e}^{2}\right]$ | $\text{c}^{-1}\alpha\cdot 2^{7}5^{7}$ |
| resistivity | $2.1739848152842(42) \times 10^{-7}$ $\left[\Omega \cdot \text{m}\right]/\left[\text{a}_0\cdot \text{e}^{-2}\right]$ | $\text{c}\cdot \text{R}_{\infty}^{-1}\tau^{-1}2^{-8}5^{-7}$ |
| conductivity | $4.5998481358725(88) \times 10^{6}$ $\left[\text{S} \cdot \text{m}^{-1}\right]/\left[\text{a}_0^{-1}\text{e}^{2}\right]$ | $\text{c}^{-1}\text{R}_{\infty}\cdot \tau\cdot 2^{8}5^{7}$ |
| capacitance | $5.88789053373(90) \times 10^{-21}$ $\left[\text{F}\right]/\left[\text{a}_0^{2}\text{e}^{2}\right]$ | $\text{c}^{-2}\text{R}_{\infty}^{-1}\alpha\cdot \tau^{-1}2^{6}5^{7}$ |
| inductance | $9.9373474284(15) \times 10^{-14}$ $\left[\text{H}\right]/\left[\text{a}_0^{2}\text{e}^{-2}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{-1}\tau^{-1}2^{-8}5^{-7}$ |
| reluctance | $1.00630475809(15) \times 10^{13}$ $\left[\text{H}^{-1}\right]/\left[\text{a}_0^{-2}\text{e}^{2}\right]$ | $\text{R}_{\infty}\cdot \alpha\cdot \tau\cdot 2^{8}5^{7}$ |
| permeance | $9.9373474284(15) \times 10^{-14}$ $\left[\text{H}\right]/\left[\text{a}_0^{2}\text{e}^{-2}\right]$ | $\text{R}_{\infty}^{-1}\alpha^{-1}\tau^{-1}2^{-8}5^{-7}$ |
| permittivity | $1.1126500560536183 \times 10^{-10}$ $\left[\text{F} \cdot \text{m}^{-1}\right]/\left[\text{a}_0\cdot \text{e}^{2}\right]$ | $\text{c}^{-2}2^{7}5^{7}$ |
| permeability | $0.00187788650450(58)$ $\left[\text{H} \cdot \text{m}^{-1}\right]/\left[\text{a}_0\cdot \text{e}^{-2}\right]$ | $\alpha^{-2}2^{-7}5^{-7}$ |
| susceptibility | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| specific susceptibility | $0.16267259820(12)$ $\left[\text{kg}^{-1}\text{m}^{3}\right]/\left[\text{a}_0^{3}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-4}\alpha^{5}\tau^{-3}2^{-4}$ |
| demagnetizing factor | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| vector potential | $1.24384033025(29) \times 10^{-5}$ $\left[\text{Wb} \cdot \text{m}^{-1}\right]/\left[\text{a}_0^{-1}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}\cdot \alpha^{-3/2}\tau^{1/2}2^{-5/2}5^{-7/2}$ |
| electric potential | $27.2113862386(21)$ $\left[\text{V}\right]/\left[\text{a}_0^{-2}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{3/2}\text{R}_{\infty}\cdot \alpha^{-1/2}\tau^{1/2}2^{-5/2}5^{-7/2}$ |
| magnetic potential | $0.00662361823932(51)$ $\left[\text{s}^{-1}\text{C}\right]/\left[\text{a}_0^{-2}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}\cdot \alpha^{1/2}\tau^{1/2}2^{9/2}5^{7/2}$ |
| electric field | $5.1422067462(12) \times 10^{11}$ $\left[\text{V} \cdot \text{m}^{-1}\right]/\left[\text{a}_0^{-3}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{3/2}\text{R}_{\infty}^{2}\alpha^{-3/2}\tau^{3/2}2^{-3/2}5^{-7/2}$ |
| magnetic field | $1.251682442640(96) \times 10^{8}$ $\left[\text{m}^{-1}\text{s}^{-1}\text{C}\right]/\left[\text{a}_0^{-3}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{2}\alpha^{-1/2}\tau^{3/2}2^{11/2}5^{7/2}$ |
| electric flux | $1.43996454745(11) \times 10^{-9}$ $\left[\text{V} \cdot \text{m}\right]/\left[\text{a}_0^{-1}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{3/2}\alpha^{1/2}\tau^{-1/2}2^{-7/2}5^{-7/2}$ |
| magnetic flux | $6.58211956771(50) \times 10^{-16}$ $\left[\text{Wb}\right]/\left[\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\alpha^{-1/2}\tau^{-1/2}2^{-7/2}5^{-7/2}$ |
| electric displacement | $57.214766244(13)$ $\left[\text{m}^{-2}\text{C}\right]/\left[\text{a}_0^{-2}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\text{R}_{\infty}^{2}\alpha^{-3/2}\tau^{3/2}2^{11/2}5^{7/2}$ |
| magnetic flux density | $235051.756695(90)$ $\left[\text{T}\right]/\left[\text{a}_0^{-2}\text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{2}\alpha^{-5/2}\tau^{3/2}2^{-3/2}5^{-7/2}$ |
| electric dipole moment | $8.4783536278(19) \times 10^{-30}$ $\left[\text{m}\cdot \text{C}\right]/\left[\text{a}_0\cdot \text{e}\right]$ | $\hbar^{1/2}\text{c}^{-1/2}\text{R}_{\infty}^{-1}\alpha^{3/2}\tau^{-3/2}2^{5/2}5^{7/2}$ |
| magnetic dipole moment | $1.85480201617(71) \times 10^{-23}$ $\left[\text{J} \cdot \text{T}^{-1}\right]/\left[\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{5/2}\tau^{-3/2}2^{5/2}5^{7/2}$ |
| electric polarizability | $1.64877727525(76) \times 10^{-41}$ $\left[\text{kg}^{-1}\text{s}^{2}\text{C}^{2}\right]/\left[\text{a}_0^{4}\text{e}^{2}\right]$ | $\text{c}^{-2}\text{R}_{\infty}^{-3}\alpha^{3}\tau^{-3}2^{4}5^{7}$ |
| magnetic polarizability | $1.48184711472(68) \times 10^{-31}$ $\left[\text{m}^{3}\right]/\left[\text{a}_0^{3}\right]$ | $\text{R}_{\infty}^{-3}\alpha^{3}\tau^{-3}2^{-3}$ |
| magnetic moment | $3.48310767467(27) \times 10^{-26}$ $\left[\text{Wb} \cdot \text{m}\right]/\left[\text{a}_0\cdot \text{e}^{-1}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\text{R}_{\infty}^{-1}\alpha^{1/2}\tau^{-3/2}2^{-9/2}5^{-7/2}$ |
| specific magnetization | $2.6153035026(10) \times 10^{-5}$ $\left[\text{m}^{-3}\text{s}\cdot \text{C}\right]/\left[\text{a}_0^{-1}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{-3/2}\text{R}_{\infty}^{2}\alpha^{-5/2}\tau^{3/2}2^{11/2}5^{7/2}$ |
| pole strength | $3.50506782596(81) \times 10^{-13}$ $\left[\text{m}\cdot \text{s}^{-1}\text{C}\right]/\left[\text{a}_0^{-1}\text{e}\right]$ | $\hbar^{1/2}\text{c}^{1/2}\alpha^{3/2}\tau^{-1/2}2^{7/2}5^{7/2}$ |
Thermodynamic Ratios
| Name | Quantity | Product |
|---|---|---|
| temperature | $315775.024913(97)$ $\left[\text{K}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\text{c}^{2}\alpha^{2}\mu_\text{eu}\cdot 2^{-3}5^{-3}$ |
| entropy | $1.38064899953(43) \times 10^{-23}$ $\left[\text{J} \cdot \text{K}^{-1}\right]/\left[\mathbb{1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}\mu_\text{eu}^{-1}2^{4}5^{3}$ |
| specific entropy | $1.515633817565(44) \times 10^{7}$ $\left[\text{J} \cdot \text{K}^{-1} \text{kg}^{-1}\right]/\left[\mathbb{1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \mu_\text{eu}^{-1}2^{3}5^{3}$ |
| volume heat capacity | $9.3170812685(71) \times 10^{7}$ $\left[\text{kg}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-1}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{4}\alpha^{-5}\mu_\text{eu}^{-1}\tau^{3}2^{7}5^{3}$ |
| thermal conductivity | $10786.1647400(50)$ $\left[\text{W} \cdot \text{m}^{-1} \text{K}^{-1}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{R}_{\infty}^{3}\alpha^{-3}\mu_\text{eu}^{-1}\tau^{2}2^{6}5^{3}$ |
| thermal conductance | $5.7077925734(18) \times 10^{-7}$ $\left[\text{W} \cdot \text{K}^{-1}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \hbar\cdot \text{R}_{\infty}^{2}\alpha^{-2}\mu_\text{eu}^{-1}\tau\cdot 2^{5}5^{3}$ |
| thermal resistivity | $9.2711359794(43) \times 10^{-5}$ $\left[\text{K} \cdot \text{m} \cdot \text{W}^{-1}\right]/\left[\text{a}_0^{3}\right]$ | $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{R}_{\infty}^{-3}\alpha^{3}\mu_\text{eu}\cdot \tau^{-2}2^{-6}5^{-3}$ |
| thermal resistance | $1.75199078652(54) \times 10^{6}$ $\left[\text{K} \cdot \text{W}^{-1}\right]/\left[\text{a}_0^{2}\right]$ | $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{2}\mu_\text{eu}\cdot \tau^{-1}2^{-5}5^{-3}$ |
| thermal expansion | $3.16681156237(97) \times 10^{-6}$ $\left[\text{K}^{-1}\right]/\left[\text{a}_0^{2}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \text{c}^{-2}\alpha^{-2}\mu_\text{eu}^{-1}2^{3}5^{3}$ |
| lapse rate | $5.96728314083(93) \times 10^{15}$ $\left[\text{m}^{-1}\text{K}\right]/\left[\text{a}_0^{-3}\right]$ | $\text{k}_\text{B}^{-1}\text{N}_\text{A}^{-1}\text{c}^{2}\text{R}_{\infty}\cdot \alpha\cdot \mu_\text{eu}\cdot \tau\cdot 2^{-2}5^{-3}$ |
Molar Ratios
| Name | Quantity | Product |
|---|---|---|
| molar mass | $0.001$ $\left[\text{kg}\cdot \text{mol}^{-1}\right]/\left[\mathbb{1}\right]$ | $2^{-3}5^{-3}$ |
| molality | $1000.0$ $\left[\text{kg}^{-1}\text{mol}\right]/\left[\mathbb{1}\right]$ | $2^{3}5^{3}$ |
| molar amount | $9.1093837016(28) \times 10^{-28}$ $\left[\text{mol}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}\cdot \alpha^{-2}2^{4}5^{3}$ |
| molarity | $6147.3168258(47)$ $\left[\text{m}^{-3}\text{mol}\right]/\left[\text{a}_0^{-3}\right]$ | $\hbar\cdot \text{c}^{-1}\text{R}_{\infty}^{4}\alpha^{-5}\tau^{3}2^{7}5^{3}$ |
| molar volume | $0.00016267259820(12)$ $\left[\text{m}^{3}\text{mol}^{-1}\right]/\left[\text{a}_0^{3}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-4}\alpha^{5}\tau^{-3}2^{-7}5^{-3}$ |
| molar entropy | $15156.33817565(44)$ $\left[\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}\right]/\left[\mathbb{1}\right]$ | $\text{k}_\text{B}\cdot \text{N}_\text{A}\cdot \mu_\text{eu}^{-1}$ |
| molar energy | $4.7859930650(15) \times 10^{9}$ $\left[\text{J} \cdot \text{mol}^{-1}\right]/\left[\text{a}_0^{-2}\right]$ | $\text{c}^{2}\alpha^{2}2^{-3}5^{-3}$ |
| molar conductivity | $1.41402394541(87) \times 10^{13}$ $\left[\text{S} \cdot \text{m}^2 \text{mol}^{-1}\right]/\left[\text{a}_0\cdot \text{e}^{2}\right]$ | $\hbar^{-1}\text{R}_{\infty}^{-2}\alpha^{4}\tau^{-1}2^{2}5^{4}$ |
| molar susceptibility | $0.00016267259820(12)$ $\left[\text{m}^{3}\text{mol}^{-1}\right]/\left[\text{a}_0^{3}\right]$ | $\hbar^{-1}\text{c}\cdot \text{R}_{\infty}^{-4}\alpha^{5}\tau^{-3}2^{-7}5^{-3}$ |
| catalysis | $3.7659443246(12) \times 10^{-11}$ $\left[\text{kat}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{R}_{\infty}^{2}\alpha^{-2}\tau\cdot 2^{5}5^{3}$ |
| specificity | $6.7251086135(52) \times 10^{12}$ $\left[\text{m}^{3}\text{s}^{-1}\text{mol}^{-1}\right]/\left[\text{a}_0\right]$ | $\hbar^{-1}\text{c}^{2}\text{R}_{\infty}^{-3}\alpha^{5}\tau^{-2}2^{-6}5^{-3}$ |
| diffusion flux | $7.8686790253(48) \times 10^{-24}$ $\left[\text{m}^{-2}\text{s}\cdot \text{mol}\right]/\left[\mathbb{1}\right]$ | $\hbar\cdot \text{c}^{-2}\text{R}_{\infty}^{2}\alpha^{-4}\tau\cdot 2^{5}5^{3}$ |
Photometric Ratios
| Name | Quantity | Product |
|---|---|---|
| luminous flux | $123.10598966248(47)$ $\left[\text{cd}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}^{2}\text{K}_\text{cd}\cdot \text{R}_{\infty}^{2}\tau\cdot 2^{2}$ |
| luminous intensity | $123.10598966248(47)$ $\left[\text{cd}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}^{2}\text{K}_\text{cd}\cdot \text{R}_{\infty}^{2}\tau\cdot 2^{2}$ |
| luminance | $4.3961946957(13) \times 10^{22}$ $\left[\text{lx}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{c}^{2}\text{K}_\text{cd}\cdot \text{R}_{\infty}^{4}\alpha^{-2}\tau^{3}2^{4}$ |
| illuminance | $4.3961946957(13) \times 10^{22}$ $\left[\text{lx}\right]/\left[\text{a}_0^{-6}\right]$ | $\hbar\cdot \text{c}^{2}\text{K}_\text{cd}\cdot \text{R}_{\infty}^{4}\alpha^{-2}\tau^{3}2^{4}$ |
| luminous energy | $2.9777914890339(57) \times 10^{-15}$ $\left[\text{s}\cdot \text{lm}\right]/\left[\text{a}_0^{-2}\right]$ | $\hbar\cdot \text{c}\cdot \text{K}_\text{cd}\cdot \text{R}_{\infty}\cdot 2$ |
| luminous exposure | $1.06338864460(33) \times 10^{6}$ $\left[\text{lx} \cdot \text{s}\right]/\left[\text{a}_0^{-4}\right]$ | $\hbar\cdot \text{c}\cdot \text{K}_\text{cd}\cdot \text{R}_{\infty}^{3}\alpha^{-2}\tau^{2}2^{3}$ |
| luminous efficacy | $683.01969009009$ $\left[\text{lm} \cdot \text{W}^{-1}\right]/\left[\mathbb{1}\right]$ | $\text{K}_\text{cd}$ |
Kinematic
| Unified | Hartree | Metric | |
|---|---|---|---|
| angle | $\text{A}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| solid angle | $\text{A}^{2}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| time | $\text{T}$ | $\text{a}_0^{2}$ | $\text{s}$ |
| angular time | $\text{T}\cdot \text{A}^{-1}$ | $\text{a}_0^{2}$ | $\text{s}$ |
| length | $\text{L}$ | $\text{a}_0$ | $\text{m}$ |
| angular length | $\text{L}\cdot \text{A}^{-1}$ | $\text{a}_0$ | $\text{m}$ |
| area | $\text{L}^{2}$ | $\text{a}_0^{2}$ | $\text{m}^{2}$ |
| angular area | $\text{L}^{2}\text{A}^{-2}$ | $\text{a}_0^{2}$ | $\text{m}^{2}$ |
| volume | $\text{L}^{3}$ | $\text{a}_0^{3}$ | $\text{m}^{3}$ |
| wavenumber | $\text{L}^{-1}$ | $\text{a}_0^{-1}$ | $\text{m}^{-1}$ |
| angular wavenumber | $\text{L}^{-1}\text{A}$ | $\text{a}_0^{-1}$ | $\text{m}^{-1}$ |
| fuel efficiency | $\text{L}^{-2}$ | $\text{a}_0^{-2}$ | $\text{m}^{-2}$ |
| number density | $\text{L}^{-3}$ | $\text{a}_0^{-3}$ | $\text{m}^{-3}$ |
| frequency | $\text{T}^{-1}$ | $\text{a}_0^{-2}$ | $\text{Hz}$ |
| angular frequency | $\text{T}^{-1}\text{A}$ | $\text{a}_0^{-2}$ | $\text{Hz}$ |
| frequency drift | $\text{T}^{-2}$ | $\text{a}_0^{-4}$ | $\text{Hz} \cdot \text{s}^{-1}$ |
| stagnance | $\text{L}^{-1}\text{T}$ | $\text{a}_0$ | $\text{m}^{-1}\text{s}$ |
| speed | $\text{L}\cdot \text{T}^{-1}$ | $\text{a}_0^{-1}$ | $\text{m}\cdot \text{s}^{-1}$ |
| acceleration | $\text{L}\cdot \text{T}^{-2}$ | $\text{a}_0^{-3}$ | $\text{m}\cdot \text{s}^{-2}$ |
| jerk | $\text{L}\cdot \text{T}^{-3}$ | $\text{a}_0^{-5}$ | $\text{m}\cdot \text{s}^{-3}$ |
| snap | $\text{L}\cdot \text{T}^{-4}$ | $\text{a}_0^{-7}$ | $\text{m}\cdot \text{s}^{-4}$ |
| crackle | $\text{L}\cdot \text{T}^{-5}$ | $\text{a}_0^{-9}$ | $\text{m}\cdot \text{s}^{-5}$ |
| pop | $\text{L}\cdot \text{T}^{-6}$ | $\text{a}_0^{-11}$ | $\text{m}\cdot \text{s}^{-6}$ |
| volume flow | $\text{L}^{3}\text{T}^{-1}$ | $\text{a}_0$ | $\text{m}^{3}\text{s}^{-1}$ |
| etendue | $\text{L}^{2}\text{A}^{2}$ | $\text{a}_0^{2}$ | $\text{m}^{2}$ |
| photon intensity | $\text{T}^{-1}\text{A}^{-2}$ | $\text{a}_0^{-2}$ | $\text{Hz}$ |
| photon irradiance | $\text{L}^{-2}\text{T}$ | $\mathbb{1}$ | $\text{Hz} \cdot \text{m}^{-2}$ |
| photon radiance | $\text{L}^{-2}\text{T}\cdot \text{A}^{-2}$ | $\mathbb{1}$ | $\text{Hz} \cdot \text{m}^{-2}$ |
Mechanical
| Unified | Hartree | Metric | |
|---|---|---|---|
| inertia | $\text{F}\cdot \text{L}^{-1}\text{T}^{2}$ | $\mathbb{1}$ | $\text{kg}$ |
| mass | $\text{M}$ | $\mathbb{1}$ | $\text{kg}$ |
| mass flow | $\text{M}\cdot \text{T}^{-1}$ | $\text{a}_0^{-2}$ | $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ |
| linear density | $\text{M}\cdot \text{L}^{-1}$ | $\text{a}_0^{-1}$ | $\text{kg}\cdot \text{m}^{-1}$ |
| area density | $\text{M}\cdot \text{L}^{-2}$ | $\text{a}_0^{-2}$ | $\text{kg}\cdot \text{m}^{-2}$ |
| density | $\text{M}\cdot \text{L}^{-3}$ | $\text{a}_0^{-3}$ | $\text{kg}\cdot \text{m}^{-3}$ |
| specific weight | $\text{F}\cdot \text{L}^{-3}$ | $\text{a}_0^{-6}$ | $\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}$ |
| specific volume | $\text{M}^{-1}\text{L}^{3}$ | $\text{a}_0^{3}$ | $\text{kg}^{-1}\text{m}^{3}$ |
| force | $\text{F}$ | $\text{a}_0^{-3}$ | $\text{N}$ |
| specific force | $\text{F}\cdot \text{M}^{-1}$ | $\text{a}_0^{-3}$ | $\text{m}\cdot \text{s}^{-2}$ |
| gravity force | $\text{F}^{-1}\text{M}\cdot \text{L}\cdot \text{T}^{-2}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| pressure | $\text{F}\cdot \text{L}^{-2}$ | $\text{a}_0^{-5}$ | $\text{Pa}$ |
| compressibility | $\text{F}^{-1}\text{L}^{2}$ | $\text{a}_0^{5}$ | $\text{Pa}^{-1}$ |
| viscosity | $\text{F}\cdot \text{L}^{-2}\text{T}$ | $\text{a}_0^{-3}$ | $\text{Pa} \cdot \text{s}$ |
| diffusivity | $\text{L}^{2}\text{T}^{-1}$ | $\mathbb{1}$ | $\text{m}^{2}\text{s}^{-1}$ |
| rotational inertia | $\text{M}\cdot \text{L}^{2}$ | $\text{a}_0^{2}$ | $\text{kg}\cdot \text{m}^{2}$ |
| impulse | $\text{F}\cdot \text{T}$ | $\text{a}_0^{-1}$ | $\text{N} \cdot \text{s}$ |
| momentum | $\text{M}\cdot \text{L}\cdot \text{T}^{-1}$ | $\text{a}_0^{-1}$ | $\text{N} \cdot \text{s}$ |
| angular momentum | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{A}^{-1}$ | $\mathbb{1}$ | $\text{J} \cdot \text{s}$ |
| yank | $\text{M}\cdot \text{L}\cdot \text{T}^{-3}$ | $\text{a}_0^{-5}$ | $\text{N} \cdot \text{s}^{-1}$ |
| energy | $\text{F}\cdot \text{L}$ | $\text{a}_0^{-2}$ | $\text{J}$ |
| specific energy | $\text{F}\cdot \text{M}^{-1}\text{L}$ | $\text{a}_0^{-2}$ | $\text{J} \cdot \text{kg}^{-1}$ |
| action | $\text{F}\cdot \text{L}\cdot \text{T}$ | $\mathbb{1}$ | $\text{J} \cdot \text{s}$ |
| fluence | $\text{F}\cdot \text{L}^{-1}$ | $\text{a}_0^{-4}$ | $\text{N} \cdot \text{m}^{-1}$ |
| power | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}$ | $\text{a}_0^{-4}$ | $\text{W}$ |
| power density | $\text{F}\cdot \text{L}^{-2}\text{T}^{-1}$ | $\text{a}_0^{-7}$ | $\text{W} \cdot \text{m}^{-3}$ |
| irradiance | $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}$ | $\text{a}_0^{-6}$ | $\text{W} \cdot \text{m}^{-2}$ |
| radiance | $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}\text{A}^{-2}$ | $\text{a}_0^{-6}$ | $\text{W} \cdot \text{m}^{-2}$ |
| radiant intensity | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\text{A}^{-2}$ | $\text{a}_0^{-4}$ | $\text{W}$ |
| spectral flux | $\text{F}\cdot \text{T}^{-1}$ | $\text{a}_0^{-5}$ | $\text{N} \cdot \text{s}^{-1}$ |
| spectral exposure | $\text{F}\cdot \text{L}^{-1}\text{T}$ | $\text{a}_0^{-2}$ | $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ |
| sound exposure | $\text{F}^{2}\text{L}^{-4}\text{T}$ | $\text{a}_0^{-8}$ | $\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}$ |
| impedance | $\text{F}\cdot \text{L}^{-5}\text{T}$ | $\text{a}_0^{-6}$ | $\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}$ |
| specific impedance | $\text{F}\cdot \text{L}^{-3}\text{T}$ | $\text{a}_0^{-4}$ | $\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}$ |
| admittance | $\text{F}^{-1}\text{L}^{5}\text{T}^{-1}$ | $\text{a}_0^{6}$ | $\text{kg}^{-1}\text{m}^{4}\text{s}$ |
| compliance | $\text{M}^{-1}\text{T}^{2}$ | $\text{a}_0^{4}$ | $\text{m} \cdot \text{N}^{-1}$ |
| inertance | $\text{M}\cdot \text{L}^{-4}$ | $\text{a}_0^{-4}$ | $\text{kg}\cdot \text{m}^{-4}$ |
Electromagnetic
| Unified | Hartree | Metric | |
|---|---|---|---|
| charge | $\text{Q}$ | $\text{e}$ | $\text{C}$ |
| charge density | $\text{L}^{-3}\text{Q}$ | $\text{a}_0^{-3}\text{e}$ | $\text{m}^{-3}\text{C}$ |
| linear charge density | $\text{L}^{-1}\text{Q}$ | $\text{a}_0^{-1}\text{e}$ | $\text{m}^{-1}\text{C}$ |
| exposure | $\text{M}^{-1}\text{Q}$ | $\text{e}$ | $\text{kg}^{-1}\text{C}$ |
| mobility | $\text{F}\cdot \text{L}^{3}\text{T}^{-1}\text{Q}^{-1}$ | $\text{a}_0^{-2}\text{e}^{-1}$ | $\text{m}^2 \text{s}^{-1} \text{V}^{-1}$ |
| current | $\text{T}^{-1}\text{Q}$ | $\text{a}_0^{-2}\text{e}$ | $\text{s}^{-1}\text{C}$ |
| current density | $\text{L}^{-2}\text{T}^{-1}\text{Q}$ | $\text{a}_0^{-4}\text{e}$ | $\text{m}^{-2}\text{s}^{-1}\text{C}$ |
| resistance | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-2}$ | $\text{e}^{-2}$ | $\Omega$ |
| conductance | $\text{F}^{-1}\text{L}^{-1}\text{T}^{-1}\text{Q}^{2}$ | $\text{e}^{2}$ | $\text{S}$ |
| resistivity | $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-2}$ | $\text{a}_0\cdot \text{e}^{-2}$ | $\Omega \cdot \text{m}$ |
| conductivity | $\text{F}^{-1}\text{L}^{-2}\text{T}^{-1}\text{Q}^{2}$ | $\text{a}_0^{-1}\text{e}^{2}$ | $\text{S} \cdot \text{m}^{-1}$ |
| capacitance | $\text{F}^{-1}\text{L}^{-1}\text{Q}^{2}$ | $\text{a}_0^{2}\text{e}^{2}$ | $\text{F}$ |
| inductance | $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}$ | $\text{a}_0^{2}\text{e}^{-2}$ | $\text{H}$ |
| reluctance | $\text{F}^{-1}\text{L}^{-1}\text{T}^{-2}\text{Q}^{2}\text{R}\cdot \text{C}^{-2}$ | $\text{a}_0^{-2}\text{e}^{2}$ | $\text{H}^{-1}$ |
| permeance | $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ | $\text{a}_0^{2}\text{e}^{-2}$ | $\text{H}$ |
| permittivity | $\text{F}^{-1}\text{L}^{-2}\text{Q}^{2}\text{R}$ | $\text{a}_0\cdot \text{e}^{2}$ | $\text{F} \cdot \text{m}^{-1}$ |
| permeability | $\text{F}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ | $\text{a}_0\cdot \text{e}^{-2}$ | $\text{H} \cdot \text{m}^{-1}$ |
| susceptibility | $\text{R}^{-1}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| specific susceptibility | $\text{M}^{-1}\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ | $\text{a}_0^{3}$ | $\text{kg}^{-1}\text{m}^{3}$ |
| demagnetizing factor | $\text{R}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| vector potential | $\text{F}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{a}_0^{-1}\text{e}^{-1}$ | $\text{Wb} \cdot \text{m}^{-1}$ |
| electric potential | $\text{F}\cdot \text{L}\cdot \text{Q}^{-1}$ | $\text{a}_0^{-2}\text{e}^{-1}$ | $\text{V}$ |
| magnetic potential | $\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ | $\text{a}_0^{-2}\text{e}$ | $\text{s}^{-1}\text{C}$ |
| electric field | $\text{F}\cdot \text{Q}^{-1}$ | $\text{a}_0^{-3}\text{e}^{-1}$ | $\text{V} \cdot \text{m}^{-1}$ |
| magnetic field | $\text{L}^{-1}\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ | $\text{a}_0^{-3}\text{e}$ | $\text{m}^{-1}\text{s}^{-1}\text{C}$ |
| electric flux | $\text{F}\cdot \text{L}^{2}\text{Q}^{-1}$ | $\text{a}_0^{-1}\text{e}^{-1}$ | $\text{V} \cdot \text{m}$ |
| magnetic flux | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{e}^{-1}$ | $\text{Wb}$ |
| electric displacement | $\text{L}^{-2}\text{Q}\cdot \text{R}$ | $\text{a}_0^{-2}\text{e}$ | $\text{m}^{-2}\text{C}$ |
| magnetic flux density | $\text{F}\cdot \text{L}^{-1}\text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{a}_0^{-2}\text{e}^{-1}$ | $\text{T}$ |
| electric dipole moment | $\text{L}\cdot \text{Q}$ | $\text{a}_0\cdot \text{e}$ | $\text{m}\cdot \text{C}$ |
| magnetic dipole moment | $\text{L}^{2}\text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ | $\text{e}$ | $\text{J} \cdot \text{T}^{-1}$ |
| electric polarizability | $\text{F}^{-1}\text{L}\cdot \text{Q}^{2}$ | $\text{a}_0^{4}\text{e}^{2}$ | $\text{kg}^{-1}\text{s}^{2}\text{C}^{2}$ |
| magnetic polarizability | $\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ | $\text{a}_0^{3}$ | $\text{m}^{3}$ |
| magnetic moment | $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{a}_0\cdot \text{e}^{-1}$ | $\text{Wb} \cdot \text{m}$ |
| specific magnetization | $\text{F}^{-1}\text{M}\cdot \text{L}^{-2}\text{T}^{-1}\text{Q}\cdot \text{C}^{-1}$ | $\text{a}_0^{-1}\text{e}$ | $\text{m}^{-3}\text{s}\cdot \text{C}$ |
| pole strength | $\text{L}\cdot \text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ | $\text{a}_0^{-1}\text{e}$ | $\text{m}\cdot \text{s}^{-1}\text{C}$ |
Thermodynamic
| Unified | Hartree | Metric | |
|---|---|---|---|
| temperature | $\Theta$ | $\text{a}_0^{-2}$ | $\text{K}$ |
| entropy | $\text{F}\cdot \text{L}\cdot \Theta^{-1}$ | $\mathbb{1}$ | $\text{J} \cdot \text{K}^{-1}$ |
| specific entropy | $\text{F}\cdot \text{M}^{-1}\text{L}\cdot \Theta^{-1}$ | $\mathbb{1}$ | $\text{J} \cdot \text{K}^{-1} \text{kg}^{-1}$ |
| volume heat capacity | $\text{F}\cdot \text{L}^{-2}\Theta^{-1}$ | $\text{a}_0^{-3}$ | $\text{kg}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-1}$ |
| thermal conductivity | $\text{F}\cdot \text{T}^{-1}\Theta^{-1}$ | $\text{a}_0^{-3}$ | $\text{W} \cdot \text{m}^{-1} \text{K}^{-1}$ |
| thermal conductance | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\Theta^{-1}$ | $\text{a}_0^{-2}$ | $\text{W} \cdot \text{K}^{-1}$ |
| thermal resistivity | $\text{F}^{-1}\text{T}\cdot \Theta$ | $\text{a}_0^{3}$ | $\text{K} \cdot \text{m} \cdot \text{W}^{-1}$ |
| thermal resistance | $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \Theta$ | $\text{a}_0^{2}$ | $\text{K} \cdot \text{W}^{-1}$ |
| thermal expansion | $\Theta^{-1}$ | $\text{a}_0^{2}$ | $\text{K}^{-1}$ |
| lapse rate | $\text{L}^{-1}\Theta$ | $\text{a}_0^{-3}$ | $\text{m}^{-1}\text{K}$ |
Molar
| Unified | Hartree | Metric | |
|---|---|---|---|
| molar mass | $\text{M}\cdot \text{N}^{-1}$ | $\mathbb{1}$ | $\text{kg}\cdot \text{mol}^{-1}$ |
| molality | $\text{M}^{-1}\text{N}$ | $\mathbb{1}$ | $\text{kg}^{-1}\text{mol}$ |
| molar amount | $\text{N}$ | $\mathbb{1}$ | $\text{mol}$ |
| molarity | $\text{L}^{-3}\text{N}$ | $\text{a}_0^{-3}$ | $\text{m}^{-3}\text{mol}$ |
| molar volume | $\text{L}^{3}\text{N}^{-1}$ | $\text{a}_0^{3}$ | $\text{m}^{3}\text{mol}^{-1}$ |
| molar entropy | $\text{F}\cdot \text{L}\cdot \Theta^{-1}\text{N}^{-1}$ | $\mathbb{1}$ | $\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}$ |
| molar energy | $\text{F}\cdot \text{L}\cdot \text{N}^{-1}$ | $\text{a}_0^{-2}$ | $\text{J} \cdot \text{mol}^{-1}$ |
| molar conductivity | $\text{F}^{-1}\text{T}^{-1}\text{Q}^{2}\text{N}^{-1}$ | $\text{a}_0\cdot \text{e}^{2}$ | $\text{S} \cdot \text{m}^2 \text{mol}^{-1}$ |
| molar susceptibility | $\text{L}^{3}\text{N}^{-1}\text{A}^{-1}\text{R}^{-1}$ | $\text{a}_0^{3}$ | $\text{m}^{3}\text{mol}^{-1}$ |
| catalysis | $\text{T}^{-1}\text{N}$ | $\text{a}_0^{-2}$ | $\text{kat}$ |
| specificity | $\text{L}^{3}\text{T}^{-1}\text{N}^{-1}$ | $\text{a}_0$ | $\text{m}^{3}\text{s}^{-1}\text{mol}^{-1}$ |
| diffusion flux | $\text{L}^{-2}\text{T}\cdot \text{N}$ | $\mathbb{1}$ | $\text{m}^{-2}\text{s}\cdot \text{mol}$ |
Photometric
| Unified | Hartree | Metric | |
|---|---|---|---|
| luminous flux | $\text{J}$ | $\text{a}_0^{-4}$ | $\text{cd}$ |
| luminous intensity | $\text{J}\cdot \text{A}^{-2}$ | $\text{a}_0^{-4}$ | $\text{cd}$ |
| luminance | $\text{L}^{-2}\text{J}\cdot \text{A}^{-2}$ | $\text{a}_0^{-6}$ | $\text{lx}$ |
| illuminance | $\text{L}^{-2}\text{J}$ | $\text{a}_0^{-6}$ | $\text{lx}$ |
| luminous energy | $\text{T}\cdot \text{J}$ | $\text{a}_0^{-2}$ | $\text{s}\cdot \text{lm}$ |
| luminous exposure | $\text{L}^{-2}\text{T}\cdot \text{J}$ | $\text{a}_0^{-4}$ | $\text{lx} \cdot \text{s}$ |
| luminous efficacy | $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \text{J}$ | $\mathbb{1}$ | $\text{lm} \cdot \text{W}^{-1}$ |