IAU☉ -> 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 | $86400.0$ $\left[\text{s}\right]/\left[\text{D}\right]$ | $2^{7}3^{3}5^{2}$ |
| angular time | $86400.0$ $\left[\text{s}\right]/\left[\text{D}\right]$ | $2^{7}3^{3}5^{2}$ |
| length | $1.495978707000(30) \times 10^{11}$ $\left[\text{m}\right]/\left[\text{au}\right]$ | $\text{au}$ |
| angular length | $1.495978707000(30) \times 10^{11}$ $\left[\text{m}\right]/\left[\text{au}\right]$ | $\text{au}$ |
| area | $2.237952291797(90) \times 10^{22}$ $\left[\text{m}^{2}\right]/\left[\text{au}^{2}\right]$ | $\text{au}^{2}$ |
| angular area | $2.237952291797(90) \times 10^{22}$ $\left[\text{m}^{2}\right]/\left[\text{au}^{2}\right]$ | $\text{au}^{2}$ |
| volume | $3.34792897581(20) \times 10^{33}$ $\left[\text{m}^{3}\right]/\left[\text{au}^{3}\right]$ | $\text{au}^{3}$ |
| wavenumber | $6.68458712227(13) \times 10^{-12}$ $\left[\text{m}^{-1}\right]/\left[\text{au}^{-1}\right]$ | $\text{au}^{-1}$ |
| angular wavenumber | $6.68458712227(13) \times 10^{-12}$ $\left[\text{m}^{-1}\right]/\left[\text{au}^{-1}\right]$ | $\text{au}^{-1}$ |
| fuel efficiency | $4.46837049952(18) \times 10^{-23}$ $\left[\text{m}^{-2}\right]/\left[\text{au}^{-2}\right]$ | $\text{au}^{-2}$ |
| number density | $2.98692118986(18) \times 10^{-34}$ $\left[\text{m}^{-3}\right]/\left[\text{au}^{-3}\right]$ | $\text{au}^{-3}$ |
| frequency | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| angular frequency | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| frequency drift | $1.3395919067215363 \times 10^{-10}$ $\left[\text{Hz} \cdot \text{s}^{-1}\right]/\left[\text{D}^{-2}\right]$ | $2^{-14}3^{-6}5^{-4}$ |
| stagnance | $5.77548327364(12) \times 10^{-7}$ $\left[\text{m}^{-1}\text{s}\right]/\left[\text{au}^{-1}\text{D}\right]$ | $\text{au}^{-1}2^{7}3^{3}5^{2}$ |
| speed | $1.731456836806(35) \times 10^{6}$ $\left[\text{m}\cdot \text{s}^{-1}\right]/\left[\text{au}\cdot \text{D}^{-1}\right]$ | $\text{au}\cdot 2^{-7}3^{-3}5^{-2}$ |
| acceleration | $20.0400096852500(40)$ $\left[\text{m}\cdot \text{s}^{-2}\right]/\left[\text{au}\cdot \text{D}^{-2}\right]$ | $\text{au}\cdot 2^{-14}3^{-6}5^{-4}$ |
| jerk | $0.0002319445565422(47)$ $\left[\text{m}\cdot \text{s}^{-3}\right]/\left[\text{au}\cdot \text{D}^{-3}\right]$ | $\text{au}\cdot 2^{-21}3^{-9}5^{-6}$ |
| snap | $2.684543478498(54) \times 10^{-9}$ $\left[\text{m}\cdot \text{s}^{-4}\right]/\left[\text{au}\cdot \text{D}^{-4}\right]$ | $\text{au}\cdot 2^{-28}3^{-12}5^{-8}$ |
| crackle | $3.107110507521(62) \times 10^{-14}$ $\left[\text{m}\cdot \text{s}^{-5}\right]/\left[\text{au}\cdot \text{D}^{-5}\right]$ | $\text{au}\cdot 2^{-35}3^{-15}5^{-10}$ |
| pop | $3.596192717038(72) \times 10^{-19}$ $\left[\text{m}\cdot \text{s}^{-6}\right]/\left[\text{au}\cdot \text{D}^{-6}\right]$ | $\text{au}\cdot 2^{-42}3^{-18}5^{-12}$ |
| volume flow | $3.87491779608(23) \times 10^{28}$ $\left[\text{m}^{3}\text{s}^{-1}\right]/\left[\text{au}^{3}\text{D}^{-1}\right]$ | $\text{au}^{3}2^{-7}3^{-3}5^{-2}$ |
| etendue | $2.237952291797(90) \times 10^{22}$ $\left[\text{m}^{2}\right]/\left[\text{au}^{2}\right]$ | $\text{au}^{2}$ |
| photon intensity | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| photon irradiance | $3.86067211159(15) \times 10^{-18}$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\text{au}^{-2}\text{D}\right]$ | $\text{au}^{-2}2^{7}3^{3}5^{2}$ |
| photon radiance | $3.86067211159(15) \times 10^{-18}$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\text{au}^{-2}\text{D}\right]$ | $\text{au}^{-2}2^{7}3^{3}5^{2}$ |
Mechanical Ratios
| Name | Quantity | Product |
|---|---|---|
| inertia | $1.988409(44) \times 10^{30}$ $\left[\text{kg}\right]/\left[\text{M}_\odot\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| mass | $1.988409(44) \times 10^{30}$ $\left[\text{kg}\right]/\left[\text{M}_\odot\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| mass flow | $2.301400(51) \times 10^{25}$ $\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]/\left[\text{M}_\odot\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| linear density | $1.329169(29) \times 10^{19}$ $\left[\text{kg}\cdot \text{m}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| area density | $8.88495(20) \times 10^{7}$ $\left[\text{kg}\cdot \text{m}^{-2}\right]/\left[\text{M}_\odot\cdot \text{au}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}\cdot \text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| density | $0.000593922(13)$ $\left[\text{kg}\cdot \text{m}^{-3}\right]/\left[\text{M}_\odot\cdot \text{au}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| specific weight | $0.01190221(26)$ $\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}\right]/\left[\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}\cdot \text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| specific volume | $1683.722(37)$ $\left[\text{kg}^{-1}\text{m}^{3}\right]/\left[\text{M}_\odot^{-1}\text{au}^{3}\right]$ | $\hbar\cdot \text{c}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$ |
| force | $3.984774(88) \times 10^{31}$ $\left[\text{N}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| specific force | $20.0400096852500(40)$ $\left[\text{m}\cdot \text{s}^{-2}\right]/\left[\text{au}\cdot \text{D}^{-2}\right]$ | $\text{au}\cdot 2^{-14}3^{-6}5^{-4}$ |
| gravity force | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| pressure | $1.780545(39) \times 10^{9}$ $\left[\text{Pa}\right]/\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| compressibility | $5.61626(12) \times 10^{-10}$ $\left[\text{Pa}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{au}\cdot \text{D}^{2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$ |
| viscosity | $1.538391(34) \times 10^{14}$ $\left[\text{Pa} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| diffusivity | $2.59022255995(10) \times 10^{17}$ $\left[\text{m}^{2}\text{s}^{-1}\right]/\left[\text{au}^{2}\text{D}^{-1}\right]$ | $\text{au}^{2}2^{-7}3^{-3}5^{-2}$ |
| rotational inertia | $4.449965(98) \times 10^{52}$ $\left[\text{kg}\cdot \text{m}^{2}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| impulse | $3.442845(76) \times 10^{36}$ $\left[\text{N} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| momentum | $3.442845(76) \times 10^{36}$ $\left[\text{N} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| angular momentum | $5.15042(11) \times 10^{47}$ $\left[\text{J} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| yank | $4.61201(10) \times 10^{26}$ $\left[\text{N} \cdot \text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| energy | $5.96114(13) \times 10^{42}$ $\left[\text{J}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| specific energy | $2.99794277772(12) \times 10^{12}$ $\left[\text{J} \cdot \text{kg}^{-1}\right]/\left[\text{au}^{2}\text{D}^{-2}\right]$ | $\text{au}^{2}2^{-14}3^{-6}5^{-4}$ |
| action | $5.15042(11) \times 10^{47}$ $\left[\text{J} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| fluence | $2.663657(59) \times 10^{20}$ $\left[\text{N} \cdot \text{m}^{-1}\right]/\left[\text{M}_\odot\cdot \text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| power | $6.89946(15) \times 10^{37}$ $\left[\text{W}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| power density | $20608.16(45)$ $\left[\text{W} \cdot \text{m}^{-3}\right]/\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| irradiance | $3.082936(68) \times 10^{15}$ $\left[\text{W} \cdot \text{m}^{-2}\right]/\left[\text{M}_\odot\cdot \text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| radiance | $3.082936(68) \times 10^{15}$ $\left[\text{W} \cdot \text{m}^{-2}\right]/\left[\text{M}_\odot\cdot \text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| radiant intensity | $6.89946(15) \times 10^{37}$ $\left[\text{W}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| spectral flux | $4.61201(10) \times 10^{26}$ $\left[\text{N} \cdot \text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| spectral exposure | $2.301400(51) \times 10^{25}$ $\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]/\left[\text{M}_\odot\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| sound exposure | $2.73917(12) \times 10^{23}$ $\left[\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}\right]/\left[\text{M}_\odot^{2}\text{au}^{-2}\text{D}^{-3}\right]$ | $\hbar^{-2}\text{c}^{-2}\text{au}^{4}\text{k}_\text{G}^{4}\text{m}_\text{P}^{4}\tau^{6}2^{-77}3^{-37}5^{-26}$ |
| impedance | $4.59505(10) \times 10^{-20}$ $\left[\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}^{-4}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| specific impedance | $1028.351(23)$ $\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}\cdot \text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| admittance | $2.176254(48) \times 10^{19}$ $\left[\text{kg}^{-1}\text{m}^{4}\text{s}\right]/\left[\text{M}_\odot^{-1}\text{au}^{4}\text{D}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$ |
| compliance | $3.754237(83) \times 10^{-21}$ $\left[\text{m} \cdot \text{N}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{D}^{2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$ |
| inertance | $3.970125(88) \times 10^{-15}$ $\left[\text{kg}\cdot \text{m}^{-4}\right]/\left[\text{M}_\odot\cdot \text{au}^{-4}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
Electromagnetic Ratios
| Name | Quantity | Product |
|---|---|---|
| charge | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| charge density | $2.98692118986(18) \times 10^{-34}$ $\left[\text{m}^{-3}\right]/\left[\text{au}^{-3}\right]$ | $\text{au}^{-3}$ |
| linear charge density | $6.68458712227(13) \times 10^{-12}$ $\left[\text{m}^{-1}\right]/\left[\text{au}^{-1}\right]$ | $\text{au}^{-1}$ |
| exposure | $5.02915(11) \times 10^{-31}$ $\left[\text{kg}^{-1}\right]/\left[\text{M}_\odot^{-1}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$ |
| mobility | $1.544067(34) \times 10^{60}$ $\left[\text{kg}\cdot \text{m}^{4}\text{s}^{-3}\right]/\left[\text{M}_\odot\cdot \text{au}^{4}\text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{7}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| current | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| current density | $5.17172511518(21) \times 10^{-28}$ $\left[\text{m}^{-2}\text{s}^{-1}\right]/\left[\text{au}^{-2}\text{D}^{-1}\right]$ | $\text{au}^{-2}2^{-7}3^{-3}5^{-2}$ |
| resistance | $5.15042(11) \times 10^{47}$ $\left[\text{J} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| conductance | $1.941588(43) \times 10^{-48}$ $\left[\text{kg}^{-1}\text{m}^{-2}\text{s}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$ |
| resistivity | $7.70492(17) \times 10^{58}$ $\left[\text{kg}\cdot \text{m}^{3}\text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| conductivity | $1.297872(29) \times 10^{-59}$ $\left[\text{kg}^{-1}\text{m}^{-3}\text{s}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-3}\text{D}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$ |
| capacitance | $1.677532(37) \times 10^{-43}$ $\left[\text{J}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$ |
| inductance | $4.449965(98) \times 10^{52}$ $\left[\text{kg}\cdot \text{m}^{2}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| reluctance | $2.247209(50) \times 10^{-53}$ $\left[\text{kg}^{-1}\text{m}^{-2}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$ |
| permeance | $4.449965(98) \times 10^{52}$ $\left[\text{kg}\cdot \text{m}^{2}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| permittivity | $1.121361(25) \times 10^{-54}$ $\left[\text{kg}^{-1}\text{m}^{-3}\text{s}^{2}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-3}\text{D}^{2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$ |
| permeability | $2.974618(66) \times 10^{41}$ $\left[\text{kg}\cdot \text{m}\right]/\left[\text{M}_\odot\cdot \text{au}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| susceptibility | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| specific susceptibility | $1683.722(37)$ $\left[\text{kg}^{-1}\text{m}^{3}\right]/\left[\text{M}_\odot^{-1}\text{au}^{3}\right]$ | $\hbar\cdot \text{c}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$ |
| demagnetizing factor | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| vector potential | $3.442845(76) \times 10^{36}$ $\left[\text{N} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| electric potential | $5.96114(13) \times 10^{42}$ $\left[\text{J}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| magnetic potential | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| electric field | $3.984774(88) \times 10^{31}$ $\left[\text{N}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| magnetic field | $7.73679065077(16) \times 10^{-17}$ $\left[\text{m}^{-1}\text{s}^{-1}\right]/\left[\text{au}^{-1}\text{D}^{-1}\right]$ | $\text{au}^{-1}2^{-7}3^{-3}5^{-2}$ |
| electric flux | $8.91773(20) \times 10^{53}$ $\left[\text{J} \cdot \text{m}\right]/\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| magnetic flux | $5.15042(11) \times 10^{47}$ $\left[\text{J} \cdot \text{s}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| electric displacement | $4.46837049952(18) \times 10^{-23}$ $\left[\text{m}^{-2}\right]/\left[\text{au}^{-2}\right]$ | $\text{au}^{-2}$ |
| magnetic flux density | $2.301400(51) \times 10^{25}$ $\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]/\left[\text{M}_\odot\cdot \text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| electric dipole moment | $1.495978707000(30) \times 10^{11}$ $\left[\text{m}\right]/\left[\text{au}\right]$ | $\text{au}$ |
| magnetic dipole moment | $2.59022255995(10) \times 10^{17}$ $\left[\text{m}^{2}\text{s}^{-1}\right]/\left[\text{au}^{2}\text{D}^{-1}\right]$ | $\text{au}^{2}2^{-7}3^{-3}5^{-2}$ |
| electric polarizability | $3.754237(83) \times 10^{-21}$ $\left[\text{m} \cdot \text{N}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{D}^{2}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$ |
| magnetic polarizability | $3.34792897581(20) \times 10^{33}$ $\left[\text{m}^{3}\right]/\left[\text{au}^{3}\right]$ | $\text{au}^{3}$ |
| magnetic moment | $7.70492(17) \times 10^{58}$ $\left[\text{kg}\cdot \text{m}^{3}\text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$ |
| specific magnetization | $2.58069990804(16) \times 10^{-29}$ $\left[\text{m}^{-3}\text{s}\right]/\left[\text{au}^{-3}\text{D}\right]$ | $\text{au}^{-3}2^{7}3^{3}5^{2}$ |
| pole strength | $1.731456836806(35) \times 10^{6}$ $\left[\text{m}\cdot \text{s}^{-1}\right]/\left[\text{au}\cdot \text{D}^{-1}\right]$ | $\text{au}\cdot 2^{-7}3^{-3}5^{-2}$ |
Thermodynamic Ratios
| Name | Quantity | Product |
|---|---|---|
| temperature | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| entropy | $5.96114(13) \times 10^{42}$ $\left[\text{J}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| specific entropy | $2.99794277772(12) \times 10^{12}$ $\left[\text{J} \cdot \text{kg}^{-1}\right]/\left[\text{au}^{2}\text{D}^{-2}\right]$ | $\text{au}^{2}2^{-14}3^{-6}5^{-4}$ |
| volume heat capacity | $1.780545(39) \times 10^{9}$ $\left[\text{Pa}\right]/\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| thermal conductivity | $4.61201(10) \times 10^{26}$ $\left[\text{N} \cdot \text{s}^{-1}\right]/\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| thermal conductance | $6.89946(15) \times 10^{37}$ $\left[\text{W}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$ |
| thermal resistivity | $2.168253(48) \times 10^{-27}$ $\left[\text{kg}^{-1}\text{m}^{-1}\text{s}^{3}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{3}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$ |
| thermal resistance | $1.449388(32) \times 10^{-38}$ $\left[\text{W}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$ |
| thermal expansion | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| lapse rate | $6.68458712227(13) \times 10^{-12}$ $\left[\text{m}^{-1}\right]/\left[\text{au}^{-1}\right]$ | $\text{au}^{-1}$ |
Molar Ratios
| Name | Quantity | Product |
|---|---|---|
| molar mass | $1.988409(44) \times 10^{30}$ $\left[\text{kg}\right]/\left[\text{M}_\odot\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$ |
| molality | $5.02915(11) \times 10^{-31}$ $\left[\text{kg}^{-1}\right]/\left[\text{M}_\odot^{-1}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$ |
| molar amount | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| molarity | $2.98692118986(18) \times 10^{-34}$ $\left[\text{m}^{-3}\right]/\left[\text{au}^{-3}\right]$ | $\text{au}^{-3}$ |
| molar volume | $3.34792897581(20) \times 10^{33}$ $\left[\text{m}^{3}\right]/\left[\text{au}^{3}\right]$ | $\text{au}^{3}$ |
| molar entropy | $5.96114(13) \times 10^{42}$ $\left[\text{J}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| molar energy | $5.96114(13) \times 10^{42}$ $\left[\text{J}\right]/\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]$ | $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$ |
| molar conductivity | $2.904575(64) \times 10^{-37}$ $\left[\text{kg}^{-1}\text{m}^{-1}\text{s}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$ |
| molar susceptibility | $3.34792897581(20) \times 10^{33}$ $\left[\text{m}^{3}\right]/\left[\text{au}^{3}\right]$ | $\text{au}^{3}$ |
| catalysis | $1.1574074074074075 \times 10^{-5}$ $\left[\text{Hz}\right]/\left[\text{D}^{-1}\right]$ | $2^{-7}3^{-3}5^{-2}$ |
| specificity | $3.87491779608(23) \times 10^{28}$ $\left[\text{m}^{3}\text{s}^{-1}\right]/\left[\text{au}^{3}\text{D}^{-1}\right]$ | $\text{au}^{3}2^{-7}3^{-3}5^{-2}$ |
| diffusion flux | $3.86067211159(15) \times 10^{-18}$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\text{au}^{-2}\text{D}\right]$ | $\text{au}^{-2}2^{7}3^{3}5^{2}$ |
Photometric Ratios
| Name | Quantity | Product |
|---|---|---|
| luminous flux | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| luminous intensity | $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ | $1$ |
| luminance | $4.46837049952(18) \times 10^{-23}$ $\left[\text{m}^{-2}\right]/\left[\text{au}^{-2}\right]$ | $\text{au}^{-2}$ |
| illuminance | $4.46837049952(18) \times 10^{-23}$ $\left[\text{m}^{-2}\right]/\left[\text{au}^{-2}\right]$ | $\text{au}^{-2}$ |
| luminous energy | $86400.0$ $\left[\text{s}\right]/\left[\text{D}\right]$ | $2^{7}3^{3}5^{2}$ |
| luminous exposure | $3.86067211159(15) \times 10^{-18}$ $\left[\text{Hz} \cdot \text{m}^{-2}\right]/\left[\text{au}^{-2}\text{D}\right]$ | $\text{au}^{-2}2^{7}3^{3}5^{2}$ |
| luminous efficacy | $1.449388(32) \times 10^{-38}$ $\left[\text{W}^{-1}\right]/\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\right]$ | $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$ |
Kinematic
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| angle | $\text{A}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| solid angle | $\text{A}^{2}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| time | $\text{T}$ | $\text{D}$ | $\text{s}$ |
| angular time | $\text{T}\cdot \text{A}^{-1}$ | $\text{D}$ | $\text{s}$ |
| length | $\text{L}$ | $\text{au}$ | $\text{m}$ |
| angular length | $\text{L}\cdot \text{A}^{-1}$ | $\text{au}$ | $\text{m}$ |
| area | $\text{L}^{2}$ | $\text{au}^{2}$ | $\text{m}^{2}$ |
| angular area | $\text{L}^{2}\text{A}^{-2}$ | $\text{au}^{2}$ | $\text{m}^{2}$ |
| volume | $\text{L}^{3}$ | $\text{au}^{3}$ | $\text{m}^{3}$ |
| wavenumber | $\text{L}^{-1}$ | $\text{au}^{-1}$ | $\text{m}^{-1}$ |
| angular wavenumber | $\text{L}^{-1}\text{A}$ | $\text{au}^{-1}$ | $\text{m}^{-1}$ |
| fuel efficiency | $\text{L}^{-2}$ | $\text{au}^{-2}$ | $\text{m}^{-2}$ |
| number density | $\text{L}^{-3}$ | $\text{au}^{-3}$ | $\text{m}^{-3}$ |
| frequency | $\text{T}^{-1}$ | $\text{D}^{-1}$ | $\text{Hz}$ |
| angular frequency | $\text{T}^{-1}\text{A}$ | $\text{D}^{-1}$ | $\text{Hz}$ |
| frequency drift | $\text{T}^{-2}$ | $\text{D}^{-2}$ | $\text{Hz} \cdot \text{s}^{-1}$ |
| stagnance | $\text{L}^{-1}\text{T}$ | $\text{au}^{-1}\text{D}$ | $\text{m}^{-1}\text{s}$ |
| speed | $\text{L}\cdot \text{T}^{-1}$ | $\text{au}\cdot \text{D}^{-1}$ | $\text{m}\cdot \text{s}^{-1}$ |
| acceleration | $\text{L}\cdot \text{T}^{-2}$ | $\text{au}\cdot \text{D}^{-2}$ | $\text{m}\cdot \text{s}^{-2}$ |
| jerk | $\text{L}\cdot \text{T}^{-3}$ | $\text{au}\cdot \text{D}^{-3}$ | $\text{m}\cdot \text{s}^{-3}$ |
| snap | $\text{L}\cdot \text{T}^{-4}$ | $\text{au}\cdot \text{D}^{-4}$ | $\text{m}\cdot \text{s}^{-4}$ |
| crackle | $\text{L}\cdot \text{T}^{-5}$ | $\text{au}\cdot \text{D}^{-5}$ | $\text{m}\cdot \text{s}^{-5}$ |
| pop | $\text{L}\cdot \text{T}^{-6}$ | $\text{au}\cdot \text{D}^{-6}$ | $\text{m}\cdot \text{s}^{-6}$ |
| volume flow | $\text{L}^{3}\text{T}^{-1}$ | $\text{au}^{3}\text{D}^{-1}$ | $\text{m}^{3}\text{s}^{-1}$ |
| etendue | $\text{L}^{2}\text{A}^{2}$ | $\text{au}^{2}$ | $\text{m}^{2}$ |
| photon intensity | $\text{T}^{-1}\text{A}^{-2}$ | $\text{D}^{-1}$ | $\text{Hz}$ |
| photon irradiance | $\text{L}^{-2}\text{T}$ | $\text{au}^{-2}\text{D}$ | $\text{Hz} \cdot \text{m}^{-2}$ |
| photon radiance | $\text{L}^{-2}\text{T}\cdot \text{A}^{-2}$ | $\text{au}^{-2}\text{D}$ | $\text{Hz} \cdot \text{m}^{-2}$ |
Mechanical
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| inertia | $\text{F}\cdot \text{L}^{-1}\text{T}^{2}$ | $\text{M}_\odot$ | $\text{kg}$ |
| mass | $\text{M}$ | $\text{M}_\odot$ | $\text{kg}$ |
| mass flow | $\text{M}\cdot \text{T}^{-1}$ | $\text{M}_\odot\cdot \text{D}^{-1}$ | $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ |
| linear density | $\text{M}\cdot \text{L}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{-1}$ | $\text{kg}\cdot \text{m}^{-1}$ |
| area density | $\text{M}\cdot \text{L}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{-2}$ | $\text{kg}\cdot \text{m}^{-2}$ |
| density | $\text{M}\cdot \text{L}^{-3}$ | $\text{M}_\odot\cdot \text{au}^{-3}$ | $\text{kg}\cdot \text{m}^{-3}$ |
| specific weight | $\text{F}\cdot \text{L}^{-3}$ | $\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-2}$ | $\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}$ |
| specific volume | $\text{M}^{-1}\text{L}^{3}$ | $\text{M}_\odot^{-1}\text{au}^{3}$ | $\text{kg}^{-1}\text{m}^{3}$ |
| force | $\text{F}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}$ | $\text{N}$ |
| specific force | $\text{F}\cdot \text{M}^{-1}$ | $\text{au}\cdot \text{D}^{-2}$ | $\text{m}\cdot \text{s}^{-2}$ |
| gravity force | $\text{F}^{-1}\text{M}\cdot \text{L}\cdot \text{T}^{-2}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| pressure | $\text{F}\cdot \text{L}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}$ | $\text{Pa}$ |
| compressibility | $\text{F}^{-1}\text{L}^{2}$ | $\text{M}_\odot^{-1}\text{au}\cdot \text{D}^{2}$ | $\text{Pa}^{-1}$ |
| viscosity | $\text{F}\cdot \text{L}^{-2}\text{T}$ | $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}$ | $\text{Pa} \cdot \text{s}$ |
| diffusivity | $\text{L}^{2}\text{T}^{-1}$ | $\text{au}^{2}\text{D}^{-1}$ | $\text{m}^{2}\text{s}^{-1}$ |
| rotational inertia | $\text{M}\cdot \text{L}^{2}$ | $\text{M}_\odot\cdot \text{au}^{2}$ | $\text{kg}\cdot \text{m}^{2}$ |
| impulse | $\text{F}\cdot \text{T}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}$ | $\text{N} \cdot \text{s}$ |
| momentum | $\text{M}\cdot \text{L}\cdot \text{T}^{-1}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}$ | $\text{N} \cdot \text{s}$ |
| angular momentum | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{A}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}$ | $\text{J} \cdot \text{s}$ |
| yank | $\text{M}\cdot \text{L}\cdot \text{T}^{-3}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}$ | $\text{N} \cdot \text{s}^{-1}$ |
| energy | $\text{F}\cdot \text{L}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}$ | $\text{J}$ |
| specific energy | $\text{F}\cdot \text{M}^{-1}\text{L}$ | $\text{au}^{2}\text{D}^{-2}$ | $\text{J} \cdot \text{kg}^{-1}$ |
| action | $\text{F}\cdot \text{L}\cdot \text{T}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}$ | $\text{J} \cdot \text{s}$ |
| fluence | $\text{F}\cdot \text{L}^{-1}$ | $\text{M}_\odot\cdot \text{D}^{-2}$ | $\text{N} \cdot \text{m}^{-1}$ |
| power | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}$ | $\text{W}$ |
| power density | $\text{F}\cdot \text{L}^{-2}\text{T}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-3}$ | $\text{W} \cdot \text{m}^{-3}$ |
| irradiance | $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}$ | $\text{M}_\odot\cdot \text{D}^{-3}$ | $\text{W} \cdot \text{m}^{-2}$ |
| radiance | $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}\text{A}^{-2}$ | $\text{M}_\odot\cdot \text{D}^{-3}$ | $\text{W} \cdot \text{m}^{-2}$ |
| radiant intensity | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\text{A}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}$ | $\text{W}$ |
| spectral flux | $\text{F}\cdot \text{T}^{-1}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}$ | $\text{N} \cdot \text{s}^{-1}$ |
| spectral exposure | $\text{F}\cdot \text{L}^{-1}\text{T}$ | $\text{M}_\odot\cdot \text{D}^{-1}$ | $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ |
| sound exposure | $\text{F}^{2}\text{L}^{-4}\text{T}$ | $\text{M}_\odot^{2}\text{au}^{-2}\text{D}^{-3}$ | $\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}$ |
| impedance | $\text{F}\cdot \text{L}^{-5}\text{T}$ | $\text{M}_\odot\cdot \text{au}^{-4}\text{D}^{-1}$ | $\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}$ |
| specific impedance | $\text{F}\cdot \text{L}^{-3}\text{T}$ | $\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-1}$ | $\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}$ |
| admittance | $\text{F}^{-1}\text{L}^{5}\text{T}^{-1}$ | $\text{M}_\odot^{-1}\text{au}^{4}\text{D}$ | $\text{kg}^{-1}\text{m}^{4}\text{s}$ |
| compliance | $\text{M}^{-1}\text{T}^{2}$ | $\text{M}_\odot^{-1}\text{D}^{2}$ | $\text{m} \cdot \text{N}^{-1}$ |
| inertance | $\text{M}\cdot \text{L}^{-4}$ | $\text{M}_\odot\cdot \text{au}^{-4}$ | $\text{kg}\cdot \text{m}^{-4}$ |
Electromagnetic
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| charge | $\text{Q}$ | $\text{C}$ | $\text{C}$ |
| charge density | $\text{L}^{-3}\text{Q}$ | $\text{au}^{-3}\text{C}$ | $\text{m}^{-3}\text{C}$ |
| linear charge density | $\text{L}^{-1}\text{Q}$ | $\text{au}^{-1}\text{C}$ | $\text{m}^{-1}\text{C}$ |
| exposure | $\text{M}^{-1}\text{Q}$ | $\text{M}_\odot^{-1}\text{C}$ | $\text{kg}^{-1}\text{C}$ |
| mobility | $\text{F}\cdot \text{L}^{3}\text{T}^{-1}\text{Q}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{4}\text{D}^{-3}\text{C}^{-1}$ | $\text{m}^2 \text{s}^{-1} \text{V}^{-1}$ |
| current | $\text{T}^{-1}\text{Q}$ | $\text{D}^{-1}\text{C}$ | $\text{s}^{-1}\text{C}$ |
| current density | $\text{L}^{-2}\text{T}^{-1}\text{Q}$ | $\text{au}^{-2}\text{D}^{-1}\text{C}$ | $\text{m}^{-2}\text{s}^{-1}\text{C}$ |
| resistance | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}$ | $\Omega$ |
| conductance | $\text{F}^{-1}\text{L}^{-1}\text{T}^{-1}\text{Q}^{2}$ | $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}$ | $\text{S}$ |
| resistivity | $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\text{C}^{-2}$ | $\Omega \cdot \text{m}$ |
| conductivity | $\text{F}^{-1}\text{L}^{-2}\text{T}^{-1}\text{Q}^{2}$ | $\text{M}_\odot^{-1}\text{au}^{-3}\text{D}\cdot \text{C}^{2}$ | $\text{S} \cdot \text{m}^{-1}$ |
| capacitance | $\text{F}^{-1}\text{L}^{-1}\text{Q}^{2}$ | $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\text{C}^{2}$ | $\text{F}$ |
| inductance | $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}$ | $\text{H}$ |
| reluctance | $\text{F}^{-1}\text{L}^{-1}\text{T}^{-2}\text{Q}^{2}\text{R}\cdot \text{C}^{-2}$ | $\text{M}_\odot^{-1}\text{au}^{-2}\text{C}^{2}$ | $\text{H}^{-1}$ |
| permeance | $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}$ | $\text{H}$ |
| permittivity | $\text{F}^{-1}\text{L}^{-2}\text{Q}^{2}\text{R}$ | $\text{M}_\odot^{-1}\text{au}^{-3}\text{D}^{2}\text{C}^{2}$ | $\text{F} \cdot \text{m}^{-1}$ |
| permeability | $\text{F}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}$ | $\text{H} \cdot \text{m}^{-1}$ |
| susceptibility | $\text{R}^{-1}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| specific susceptibility | $\text{M}^{-1}\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ | $\text{M}_\odot^{-1}\text{au}^{3}$ | $\text{kg}^{-1}\text{m}^{3}$ |
| demagnetizing factor | $\text{R}$ | $\mathbb{1}$ | $\mathbb{1}$ |
| vector potential | $\text{F}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\text{C}^{-1}$ | $\text{Wb} \cdot \text{m}^{-1}$ |
| electric potential | $\text{F}\cdot \text{L}\cdot \text{Q}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{C}^{-1}$ | $\text{V}$ |
| magnetic potential | $\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ | $\text{D}^{-1}\text{C}$ | $\text{s}^{-1}\text{C}$ |
| electric field | $\text{F}\cdot \text{Q}^{-1}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\text{C}^{-1}$ | $\text{V} \cdot \text{m}^{-1}$ |
| magnetic field | $\text{L}^{-1}\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ | $\text{au}^{-1}\text{D}^{-1}\text{C}$ | $\text{m}^{-1}\text{s}^{-1}\text{C}$ |
| electric flux | $\text{F}\cdot \text{L}^{2}\text{Q}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-2}\text{C}^{-1}$ | $\text{V} \cdot \text{m}$ |
| magnetic flux | $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}$ | $\text{Wb}$ |
| electric displacement | $\text{L}^{-2}\text{Q}\cdot \text{R}$ | $\text{au}^{-2}\text{C}$ | $\text{m}^{-2}\text{C}$ |
| magnetic flux density | $\text{F}\cdot \text{L}^{-1}\text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{M}_\odot\cdot \text{D}^{-1}\text{C}^{-1}$ | $\text{T}$ |
| electric dipole moment | $\text{L}\cdot \text{Q}$ | $\text{au}\cdot \text{C}$ | $\text{m}\cdot \text{C}$ |
| magnetic dipole moment | $\text{L}^{2}\text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ | $\text{au}^{2}\text{D}^{-1}\text{C}$ | $\text{J} \cdot \text{T}^{-1}$ |
| electric polarizability | $\text{F}^{-1}\text{L}\cdot \text{Q}^{2}$ | $\text{M}_\odot^{-1}\text{D}^{2}\text{C}^{2}$ | $\text{kg}^{-1}\text{s}^{2}\text{C}^{2}$ |
| magnetic polarizability | $\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ | $\text{au}^{3}$ | $\text{m}^{3}$ |
| magnetic moment | $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-1}\text{C}$ | $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\text{C}^{-1}$ | $\text{Wb} \cdot \text{m}$ |
| specific magnetization | $\text{F}^{-1}\text{M}\cdot \text{L}^{-2}\text{T}^{-1}\text{Q}\cdot \text{C}^{-1}$ | $\text{au}^{-3}\text{D}\cdot \text{C}$ | $\text{m}^{-3}\text{s}\cdot \text{C}$ |
| pole strength | $\text{L}\cdot \text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ | $\text{au}\cdot \text{D}^{-1}\text{C}$ | $\text{m}\cdot \text{s}^{-1}\text{C}$ |
Thermodynamic
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| temperature | $\Theta$ | $\text{K}$ | $\text{K}$ |
| entropy | $\text{F}\cdot \text{L}\cdot \Theta^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}$ | $\text{J} \cdot \text{K}^{-1}$ |
| specific entropy | $\text{F}\cdot \text{M}^{-1}\text{L}\cdot \Theta^{-1}$ | $\text{au}^{2}\text{D}^{-2}\text{K}^{-1}$ | $\text{J} \cdot \text{K}^{-1} \text{kg}^{-1}$ |
| volume heat capacity | $\text{F}\cdot \text{L}^{-2}\Theta^{-1}$ | $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\text{K}^{-1}$ | $\text{kg}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-1}$ |
| thermal conductivity | $\text{F}\cdot \text{T}^{-1}\Theta^{-1}$ | $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\text{K}^{-1}$ | $\text{W} \cdot \text{m}^{-1} \text{K}^{-1}$ |
| thermal conductance | $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\Theta^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\text{K}^{-1}$ | $\text{W} \cdot \text{K}^{-1}$ |
| thermal resistivity | $\text{F}^{-1}\text{T}\cdot \Theta$ | $\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{3}\text{K}$ | $\text{K} \cdot \text{m} \cdot \text{W}^{-1}$ |
| thermal resistance | $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \Theta$ | $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\text{K}$ | $\text{K} \cdot \text{W}^{-1}$ |
| thermal expansion | $\Theta^{-1}$ | $\text{K}^{-1}$ | $\text{K}^{-1}$ |
| lapse rate | $\text{L}^{-1}\Theta$ | $\text{au}^{-1}\text{K}$ | $\text{m}^{-1}\text{K}$ |
Molar
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| molar mass | $\text{M}\cdot \text{N}^{-1}$ | $\text{M}_\odot\cdot \text{mol}^{-1}$ | $\text{kg}\cdot \text{mol}^{-1}$ |
| molality | $\text{M}^{-1}\text{N}$ | $\text{M}_\odot^{-1}\text{mol}$ | $\text{kg}^{-1}\text{mol}$ |
| molar amount | $\text{N}$ | $\text{mol}$ | $\text{mol}$ |
| molarity | $\text{L}^{-3}\text{N}$ | $\text{au}^{-3}\text{mol}$ | $\text{m}^{-3}\text{mol}$ |
| molar volume | $\text{L}^{3}\text{N}^{-1}$ | $\text{au}^{3}\text{mol}^{-1}$ | $\text{m}^{3}\text{mol}^{-1}$ |
| molar entropy | $\text{F}\cdot \text{L}\cdot \Theta^{-1}\text{N}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}\text{mol}^{-1}$ | $\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}$ |
| molar energy | $\text{F}\cdot \text{L}\cdot \text{N}^{-1}$ | $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{mol}^{-1}$ | $\text{J} \cdot \text{mol}^{-1}$ |
| molar conductivity | $\text{F}^{-1}\text{T}^{-1}\text{Q}^{2}\text{N}^{-1}$ | $\text{M}_\odot^{-1}\text{au}^{-1}\text{D}\cdot \text{C}^{2}\text{mol}^{-1}$ | $\text{S} \cdot \text{m}^2 \text{mol}^{-1}$ |
| molar susceptibility | $\text{L}^{3}\text{N}^{-1}\text{A}^{-1}\text{R}^{-1}$ | $\text{au}^{3}\text{mol}^{-1}$ | $\text{m}^{3}\text{mol}^{-1}$ |
| catalysis | $\text{T}^{-1}\text{N}$ | $\text{D}^{-1}\text{mol}$ | $\text{kat}$ |
| specificity | $\text{L}^{3}\text{T}^{-1}\text{N}^{-1}$ | $\text{au}^{3}\text{D}^{-1}\text{mol}^{-1}$ | $\text{m}^{3}\text{s}^{-1}\text{mol}^{-1}$ |
| diffusion flux | $\text{L}^{-2}\text{T}\cdot \text{N}$ | $\text{au}^{-2}\text{D}\cdot \text{mol}$ | $\text{m}^{-2}\text{s}\cdot \text{mol}$ |
Photometric
| Unified | IAU☉ | Metric | |
|---|---|---|---|
| luminous flux | $\text{J}$ | $\text{lm}$ | $\text{cd}$ |
| luminous intensity | $\text{J}\cdot \text{A}^{-2}$ | $\text{lm}$ | $\text{cd}$ |
| luminance | $\text{L}^{-2}\text{J}\cdot \text{A}^{-2}$ | $\text{au}^{-2}\text{lm}$ | $\text{lx}$ |
| illuminance | $\text{L}^{-2}\text{J}$ | $\text{au}^{-2}\text{lm}$ | $\text{lx}$ |
| luminous energy | $\text{T}\cdot \text{J}$ | $\text{D}\cdot \text{lm}$ | $\text{s}\cdot \text{lm}$ |
| luminous exposure | $\text{L}^{-2}\text{T}\cdot \text{J}$ | $\text{au}^{-2}\text{D}\cdot \text{lm}$ | $\text{lx} \cdot \text{s}$ |
| luminous efficacy | $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \text{J}$ | $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\text{lm}$ | $\text{lm} \cdot \text{W}^{-1}$ |