Metric -> IAU☉

data derived with UnitSystems.jl DOI

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 $1.1574074074074075 \times 10^{-5}$ $\left[\text{D}\right]/\left[\text{s}\right]$ $2^{-7}3^{-3}5^{-2}$
angular time $1.1574074074074075 \times 10^{-5}$ $\left[\text{D}\right]/\left[\text{s}\right]$ $2^{-7}3^{-3}5^{-2}$
length $6.68458712227(13) \times 10^{-12}$ $\left[\text{au}\right]/\left[\text{m}\right]$ $\text{au}^{-1}$
angular length $6.68458712227(13) \times 10^{-12}$ $\left[\text{au}\right]/\left[\text{m}\right]$ $\text{au}^{-1}$
area $4.46837049952(18) \times 10^{-23}$ $\left[\text{au}^{2}\right]/\left[\text{m}^{2}\right]$ $\text{au}^{-2}$
angular area $4.46837049952(18) \times 10^{-23}$ $\left[\text{au}^{2}\right]/\left[\text{m}^{2}\right]$ $\text{au}^{-2}$
volume $2.98692118986(18) \times 10^{-34}$ $\left[\text{au}^{3}\right]/\left[\text{m}^{3}\right]$ $\text{au}^{-3}$
wavenumber $1.495978707000(30) \times 10^{11}$ $\left[\text{au}^{-1}\right]/\left[\text{m}^{-1}\right]$ $\text{au}$
angular wavenumber $1.495978707000(30) \times 10^{11}$ $\left[\text{au}^{-1}\right]/\left[\text{m}^{-1}\right]$ $\text{au}$
fuel efficiency $2.237952291797(90) \times 10^{22}$ $\left[\text{au}^{-2}\right]/\left[\text{m}^{-2}\right]$ $\text{au}^{2}$
number density $3.34792897581(20) \times 10^{33}$ $\left[\text{au}^{-3}\right]/\left[\text{m}^{-3}\right]$ $\text{au}^{3}$
frequency $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
angular frequency $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
frequency drift $7.46496 \times 10^{9}$ $\left[\text{D}^{-2}\right]/\left[\text{Hz} \cdot \text{s}^{-1}\right]$ $2^{14}3^{6}5^{4}$
stagnance $1.731456836806(35) \times 10^{6}$ $\left[\text{au}^{-1}\text{D}\right]/\left[\text{m}^{-1}\text{s}\right]$ $\text{au}\cdot 2^{-7}3^{-3}5^{-2}$
speed $5.77548327364(12) \times 10^{-7}$ $\left[\text{au}\cdot \text{D}^{-1}\right]/\left[\text{m}\cdot \text{s}^{-1}\right]$ $\text{au}^{-1}2^{7}3^{3}5^{2}$
acceleration $0.0499001754842(10)$ $\left[\text{au}\cdot \text{D}^{-2}\right]/\left[\text{m}\cdot \text{s}^{-2}\right]$ $\text{au}^{-1}2^{14}3^{6}5^{4}$
jerk $4311.375161839(86)$ $\left[\text{au}\cdot \text{D}^{-3}\right]/\left[\text{m}\cdot \text{s}^{-3}\right]$ $\text{au}^{-1}2^{21}3^{9}5^{6}$
snap $3.725028139829(75) \times 10^{8}$ $\left[\text{au}\cdot \text{D}^{-4}\right]/\left[\text{m}\cdot \text{s}^{-4}\right]$ $\text{au}^{-1}2^{28}3^{12}5^{8}$
crackle $3.218424312812(65) \times 10^{13}$ $\left[\text{au}\cdot \text{D}^{-5}\right]/\left[\text{m}\cdot \text{s}^{-5}\right]$ $\text{au}^{-1}2^{35}3^{15}5^{10}$
pop $2.780718606270(56) \times 10^{18}$ $\left[\text{au}\cdot \text{D}^{-6}\right]/\left[\text{m}\cdot \text{s}^{-6}\right]$ $\text{au}^{-1}2^{42}3^{18}5^{12}$
volume flow $2.58069990804(16) \times 10^{-29}$ $\left[\text{au}^{3}\text{D}^{-1}\right]/\left[\text{m}^{3}\text{s}^{-1}\right]$ $\text{au}^{-3}2^{7}3^{3}5^{2}$
etendue $4.46837049952(18) \times 10^{-23}$ $\left[\text{au}^{2}\right]/\left[\text{m}^{2}\right]$ $\text{au}^{-2}$
photon intensity $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
photon irradiance $2.59022255995(10) \times 10^{17}$ $\left[\text{au}^{-2}\text{D}\right]/\left[\text{Hz} \cdot \text{m}^{-2}\right]$ $\text{au}^{2}2^{-7}3^{-3}5^{-2}$
photon radiance $2.59022255995(10) \times 10^{17}$ $\left[\text{au}^{-2}\text{D}\right]/\left[\text{Hz} \cdot \text{m}^{-2}\right]$ $\text{au}^{2}2^{-7}3^{-3}5^{-2}$

Mechanical Ratios

Name Quantity Product
inertia $5.02915(11) \times 10^{-31}$ $\left[\text{M}_\odot\right]/\left[\text{kg}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
mass $5.02915(11) \times 10^{-31}$ $\left[\text{M}_\odot\right]/\left[\text{kg}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
mass flow $4.345182(96) \times 10^{-26}$ $\left[\text{M}_\odot\cdot \text{D}^{-1}\right]/\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
linear density $7.52350(17) \times 10^{-20}$ $\left[\text{M}_\odot\cdot \text{au}^{-1}\right]/\left[\text{kg}\cdot \text{m}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
area density $1.125499(25) \times 10^{-8}$ $\left[\text{M}_\odot\cdot \text{au}^{-2}\right]/\left[\text{kg}\cdot \text{m}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-1}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
density $1683.722(37)$ $\left[\text{M}_\odot\cdot \text{au}^{-3}\right]/\left[\text{kg}\cdot \text{m}^{-3}\right]$ $\hbar\cdot \text{c}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
specific weight $84.0180(19)$ $\left[\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-2}\right]/\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-1}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
specific volume $0.000593922(13)$ $\left[\text{M}_\odot^{-1}\text{au}^{3}\right]/\left[\text{kg}^{-1}\text{m}^{3}\right]$ $\hbar^{-1}\text{c}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$
force $2.509553(55) \times 10^{-32}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\right]/\left[\text{N}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
specific force $0.0499001754842(10)$ $\left[\text{au}\cdot \text{D}^{-2}\right]/\left[\text{m}\cdot \text{s}^{-2}\right]$ $\text{au}^{-1}2^{14}3^{6}5^{4}$
gravity force $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
pressure $5.61626(12) \times 10^{-10}$ $\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\right]/\left[\text{Pa}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
compressibility $1.780545(39) \times 10^{9}$ $\left[\text{M}_\odot^{-1}\text{au}\cdot \text{D}^{2}\right]/\left[\text{Pa}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{2}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
viscosity $6.50030(14) \times 10^{-15}$ $\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}\right]/\left[\text{Pa} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
diffusivity $3.86067211159(15) \times 10^{-18}$ $\left[\text{au}^{2}\text{D}^{-1}\right]/\left[\text{m}^{2}\text{s}^{-1}\right]$ $\text{au}^{-2}2^{7}3^{3}5^{2}$
rotational inertia $2.247209(50) \times 10^{-53}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\right]/\left[\text{kg}\cdot \text{m}^{2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
impulse $2.904575(64) \times 10^{-37}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]/\left[\text{N} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
momentum $2.904575(64) \times 10^{-37}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]/\left[\text{N} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
angular momentum $1.941588(43) \times 10^{-48}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]/\left[\text{J} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
yank $2.168253(48) \times 10^{-27}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]/\left[\text{N} \cdot \text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
energy $1.677532(37) \times 10^{-43}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]/\left[\text{J}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
specific energy $3.33562070441(13) \times 10^{-13}$ $\left[\text{au}^{2}\text{D}^{-2}\right]/\left[\text{J} \cdot \text{kg}^{-1}\right]$ $\text{au}^{-2}2^{14}3^{6}5^{4}$
action $1.941588(43) \times 10^{-48}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]/\left[\text{J} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
fluence $3.754237(83) \times 10^{-21}$ $\left[\text{M}_\odot\cdot \text{D}^{-2}\right]/\left[\text{N} \cdot \text{m}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
power $1.449388(32) \times 10^{-38}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]/\left[\text{W}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
power density $4.85245(11) \times 10^{-5}$ $\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-3}\right]/\left[\text{W} \cdot \text{m}^{-3}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
irradiance $3.243661(72) \times 10^{-16}$ $\left[\text{M}_\odot\cdot \text{D}^{-3}\right]/\left[\text{W} \cdot \text{m}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
radiance $3.243661(72) \times 10^{-16}$ $\left[\text{M}_\odot\cdot \text{D}^{-3}\right]/\left[\text{W} \cdot \text{m}^{-2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
radiant intensity $1.449388(32) \times 10^{-38}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]/\left[\text{W}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
spectral flux $2.168253(48) \times 10^{-27}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]/\left[\text{N} \cdot \text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
spectral exposure $4.345182(96) \times 10^{-26}$ $\left[\text{M}_\odot\cdot \text{D}^{-1}\right]/\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
sound exposure $3.65074(16) \times 10^{-24}$ $\left[\text{M}_\odot^{2}\text{au}^{-2}\text{D}^{-3}\right]/\left[\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}\right]$ $\hbar^{2}\text{c}^{2}\text{au}^{-4}\text{k}_\text{G}^{-4}\text{m}_\text{P}^{-4}\tau^{-6}2^{77}3^{37}5^{26}$
impedance $2.176254(48) \times 10^{19}$ $\left[\text{M}_\odot\cdot \text{au}^{-4}\text{D}^{-1}\right]/\left[\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
specific impedance $0.000972431(21)$ $\left[\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-1}\right]/\left[\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-1}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
admittance $4.59505(10) \times 10^{-20}$ $\left[\text{M}_\odot^{-1}\text{au}^{4}\text{D}\right]/\left[\text{kg}^{-1}\text{m}^{4}\text{s}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$
compliance $2.663657(59) \times 10^{20}$ $\left[\text{M}_\odot^{-1}\text{D}^{2}\right]/\left[\text{m} \cdot \text{N}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
inertance $2.518813(56) \times 10^{14}$ $\left[\text{M}_\odot\cdot \text{au}^{-4}\right]/\left[\text{kg}\cdot \text{m}^{-4}\right]$ $\hbar\cdot \text{c}\cdot \text{au}\cdot \text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$

Electromagnetic Ratios

Name Quantity Product
charge $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
charge density $3.34792897581(20) \times 10^{33}$ $\left[\text{au}^{-3}\right]/\left[\text{m}^{-3}\right]$ $\text{au}^{3}$
linear charge density $1.495978707000(30) \times 10^{11}$ $\left[\text{au}^{-1}\right]/\left[\text{m}^{-1}\right]$ $\text{au}$
exposure $1.988409(44) \times 10^{30}$ $\left[\text{M}_\odot^{-1}\right]/\left[\text{kg}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$
mobility $6.47640(14) \times 10^{-61}$ $\left[\text{M}_\odot\cdot \text{au}^{4}\text{D}^{-3}\right]/\left[\text{kg}\cdot \text{m}^{4}\text{s}^{-3}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-7}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
current $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
current density $1.933590780113(78) \times 10^{27}$ $\left[\text{au}^{-2}\text{D}^{-1}\right]/\left[\text{m}^{-2}\text{s}^{-1}\right]$ $\text{au}^{2}2^{7}3^{3}5^{2}$
resistance $1.941588(43) \times 10^{-48}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]/\left[\text{J} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
conductance $5.15042(11) \times 10^{47}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\right]/\left[\text{kg}^{-1}\text{m}^{-2}\text{s}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$
resistivity $1.297872(29) \times 10^{-59}$ $\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\right]/\left[\text{kg}\cdot \text{m}^{3}\text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
conductivity $7.70492(17) \times 10^{58}$ $\left[\text{M}_\odot^{-1}\text{au}^{-3}\text{D}\right]/\left[\text{kg}^{-1}\text{m}^{-3}\text{s}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$
capacitance $5.96114(13) \times 10^{42}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\right]/\left[\text{J}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
inductance $2.247209(50) \times 10^{-53}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\right]/\left[\text{kg}\cdot \text{m}^{2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
reluctance $4.449965(98) \times 10^{52}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\right]/\left[\text{kg}^{-1}\text{m}^{-2}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$
permeance $2.247209(50) \times 10^{-53}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\right]/\left[\text{kg}\cdot \text{m}^{2}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
permittivity $8.91773(20) \times 10^{53}$ $\left[\text{M}_\odot^{-1}\text{au}^{-3}\text{D}^{2}\right]/\left[\text{kg}^{-1}\text{m}^{-3}\text{s}^{2}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{6}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
permeability $3.361776(74) \times 10^{-42}$ $\left[\text{M}_\odot\cdot \text{au}\right]/\left[\text{kg}\cdot \text{m}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
susceptibility $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
specific susceptibility $0.000593922(13)$ $\left[\text{M}_\odot^{-1}\text{au}^{3}\right]/\left[\text{kg}^{-1}\text{m}^{3}\right]$ $\hbar^{-1}\text{c}^{-1}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$
demagnetizing factor $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
vector potential $2.904575(64) \times 10^{-37}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\right]/\left[\text{N} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
electric potential $1.677532(37) \times 10^{-43}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]/\left[\text{J}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
magnetic potential $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
electric field $2.509553(55) \times 10^{-32}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\right]/\left[\text{N}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
magnetic field $1.292525602848(26) \times 10^{16}$ $\left[\text{au}^{-1}\text{D}^{-1}\right]/\left[\text{m}^{-1}\text{s}^{-1}\right]$ $\text{au}\cdot 2^{7}3^{3}5^{2}$
electric flux $1.121361(25) \times 10^{-54}$ $\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-2}\right]/\left[\text{J} \cdot \text{m}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
magnetic flux $1.941588(43) \times 10^{-48}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\right]/\left[\text{J} \cdot \text{s}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
electric displacement $2.237952291797(90) \times 10^{22}$ $\left[\text{au}^{-2}\right]/\left[\text{m}^{-2}\right]$ $\text{au}^{2}$
magnetic flux density $4.345182(96) \times 10^{-26}$ $\left[\text{M}_\odot\cdot \text{D}^{-1}\right]/\left[\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
electric dipole moment $6.68458712227(13) \times 10^{-12}$ $\left[\text{au}\right]/\left[\text{m}\right]$ $\text{au}^{-1}$
magnetic dipole moment $3.86067211159(15) \times 10^{-18}$ $\left[\text{au}^{2}\text{D}^{-1}\right]/\left[\text{m}^{2}\text{s}^{-1}\right]$ $\text{au}^{-2}2^{7}3^{3}5^{2}$
electric polarizability $2.663657(59) \times 10^{20}$ $\left[\text{M}_\odot^{-1}\text{D}^{2}\right]/\left[\text{m} \cdot \text{N}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-42}3^{-20}5^{-14}$
magnetic polarizability $2.98692118986(18) \times 10^{-34}$ $\left[\text{au}^{3}\right]/\left[\text{m}^{3}\right]$ $\text{au}^{-3}$
magnetic moment $1.297872(29) \times 10^{-59}$ $\left[\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\right]/\left[\text{kg}\cdot \text{m}^{3}\text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-6}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{35}3^{17}5^{12}$
specific magnetization $3.87491779608(23) \times 10^{28}$ $\left[\text{au}^{-3}\text{D}\right]/\left[\text{m}^{-3}\text{s}\right]$ $\text{au}^{3}2^{-7}3^{-3}5^{-2}$
pole strength $5.77548327364(12) \times 10^{-7}$ $\left[\text{au}\cdot \text{D}^{-1}\right]/\left[\text{m}\cdot \text{s}^{-1}\right]$ $\text{au}^{-1}2^{7}3^{3}5^{2}$

Thermodynamic Ratios

Name Quantity Product
temperature $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
entropy $1.677532(37) \times 10^{-43}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]/\left[\text{J}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
specific entropy $3.33562070441(13) \times 10^{-13}$ $\left[\text{au}^{2}\text{D}^{-2}\right]/\left[\text{J} \cdot \text{kg}^{-1}\right]$ $\text{au}^{-2}2^{14}3^{6}5^{4}$
volume heat capacity $5.61626(12) \times 10^{-10}$ $\left[\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\right]/\left[\text{Pa}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-2}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
thermal conductivity $2.168253(48) \times 10^{-27}$ $\left[\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\right]/\left[\text{N} \cdot \text{s}^{-1}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-4}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
thermal conductance $1.449388(32) \times 10^{-38}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\right]/\left[\text{W}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{49}3^{23}5^{16}$
thermal resistivity $4.61201(10) \times 10^{26}$ $\left[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{3}\right]/\left[\text{kg}^{-1}\text{m}^{-1}\text{s}^{3}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$
thermal resistance $6.89946(15) \times 10^{37}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\right]/\left[\text{W}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$
thermal expansion $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
lapse rate $1.495978707000(30) \times 10^{11}$ $\left[\text{au}^{-1}\right]/\left[\text{m}^{-1}\right]$ $\text{au}$

Molar Ratios

Name Quantity Product
molar mass $5.02915(11) \times 10^{-31}$ $\left[\text{M}_\odot\right]/\left[\text{kg}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-3}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{28}3^{14}5^{10}$
molality $1.988409(44) \times 10^{30}$ $\left[\text{M}_\odot^{-1}\right]/\left[\text{kg}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{3}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-28}3^{-14}5^{-10}$
molar amount $1.0$ $\left[\mathbb{1}\right]/\left[\mathbb{1}\right]$ $1$
molarity $3.34792897581(20) \times 10^{33}$ $\left[\text{au}^{-3}\right]/\left[\text{m}^{-3}\right]$ $\text{au}^{3}$
molar volume $2.98692118986(18) \times 10^{-34}$ $\left[\text{au}^{3}\right]/\left[\text{m}^{3}\right]$ $\text{au}^{-3}$
molar entropy $1.677532(37) \times 10^{-43}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]/\left[\text{J}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
molar energy $1.677532(37) \times 10^{-43}$ $\left[\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\right]/\left[\text{J}\right]$ $\hbar\cdot \text{c}\cdot \text{au}^{-5}\text{k}_\text{G}^{-2}\text{m}_\text{P}^{-2}\tau^{-3}2^{42}3^{20}5^{14}$
molar conductivity $3.442845(76) \times 10^{36}$ $\left[\text{M}_\odot^{-1}\text{au}^{-1}\text{D}\right]/\left[\text{kg}^{-1}\text{m}^{-1}\text{s}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{4}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-35}3^{-17}5^{-12}$
molar susceptibility $2.98692118986(18) \times 10^{-34}$ $\left[\text{au}^{3}\right]/\left[\text{m}^{3}\right]$ $\text{au}^{-3}$
catalysis $86400.0$ $\left[\text{D}^{-1}\right]/\left[\text{Hz}\right]$ $2^{7}3^{3}5^{2}$
specificity $2.58069990804(16) \times 10^{-29}$ $\left[\text{au}^{3}\text{D}^{-1}\right]/\left[\text{m}^{3}\text{s}^{-1}\right]$ $\text{au}^{-3}2^{7}3^{3}5^{2}$
diffusion flux $2.59022255995(10) \times 10^{17}$ $\left[\text{au}^{-2}\text{D}\right]/\left[\text{Hz} \cdot \text{m}^{-2}\right]$ $\text{au}^{2}2^{-7}3^{-3}5^{-2}$

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 $2.237952291797(90) \times 10^{22}$ $\left[\text{au}^{-2}\right]/\left[\text{m}^{-2}\right]$ $\text{au}^{2}$
illuminance $2.237952291797(90) \times 10^{22}$ $\left[\text{au}^{-2}\right]/\left[\text{m}^{-2}\right]$ $\text{au}^{2}$
luminous energy $1.1574074074074075 \times 10^{-5}$ $\left[\text{D}\right]/\left[\text{s}\right]$ $2^{-7}3^{-3}5^{-2}$
luminous exposure $2.59022255995(10) \times 10^{17}$ $\left[\text{au}^{-2}\text{D}\right]/\left[\text{Hz} \cdot \text{m}^{-2}\right]$ $\text{au}^{2}2^{-7}3^{-3}5^{-2}$
luminous efficacy $6.89946(15) \times 10^{37}$ $\left[\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\right]/\left[\text{W}^{-1}\right]$ $\hbar^{-1}\text{c}^{-1}\text{au}^{5}\text{k}_\text{G}^{2}\text{m}_\text{P}^{2}\tau^{3}2^{-49}3^{-23}5^{-16}$

Kinematic

Unified Metric IAU☉
angle $\text{A}$ $\mathbb{1}$ $\mathbb{1}$
solid angle $\text{A}^{2}$ $\mathbb{1}$ $\mathbb{1}$
time $\text{T}$ $\text{s}$ $\text{D}$
angular time $\text{T}\cdot \text{A}^{-1}$ $\text{s}$ $\text{D}$
length $\text{L}$ $\text{m}$ $\text{au}$
angular length $\text{L}\cdot \text{A}^{-1}$ $\text{m}$ $\text{au}$
area $\text{L}^{2}$ $\text{m}^{2}$ $\text{au}^{2}$
angular area $\text{L}^{2}\text{A}^{-2}$ $\text{m}^{2}$ $\text{au}^{2}$
volume $\text{L}^{3}$ $\text{m}^{3}$ $\text{au}^{3}$
wavenumber $\text{L}^{-1}$ $\text{m}^{-1}$ $\text{au}^{-1}$
angular wavenumber $\text{L}^{-1}\text{A}$ $\text{m}^{-1}$ $\text{au}^{-1}$
fuel efficiency $\text{L}^{-2}$ $\text{m}^{-2}$ $\text{au}^{-2}$
number density $\text{L}^{-3}$ $\text{m}^{-3}$ $\text{au}^{-3}$
frequency $\text{T}^{-1}$ $\text{Hz}$ $\text{D}^{-1}$
angular frequency $\text{T}^{-1}\text{A}$ $\text{Hz}$ $\text{D}^{-1}$
frequency drift $\text{T}^{-2}$ $\text{Hz} \cdot \text{s}^{-1}$ $\text{D}^{-2}$
stagnance $\text{L}^{-1}\text{T}$ $\text{m}^{-1}\text{s}$ $\text{au}^{-1}\text{D}$
speed $\text{L}\cdot \text{T}^{-1}$ $\text{m}\cdot \text{s}^{-1}$ $\text{au}\cdot \text{D}^{-1}$
acceleration $\text{L}\cdot \text{T}^{-2}$ $\text{m}\cdot \text{s}^{-2}$ $\text{au}\cdot \text{D}^{-2}$
jerk $\text{L}\cdot \text{T}^{-3}$ $\text{m}\cdot \text{s}^{-3}$ $\text{au}\cdot \text{D}^{-3}$
snap $\text{L}\cdot \text{T}^{-4}$ $\text{m}\cdot \text{s}^{-4}$ $\text{au}\cdot \text{D}^{-4}$
crackle $\text{L}\cdot \text{T}^{-5}$ $\text{m}\cdot \text{s}^{-5}$ $\text{au}\cdot \text{D}^{-5}$
pop $\text{L}\cdot \text{T}^{-6}$ $\text{m}\cdot \text{s}^{-6}$ $\text{au}\cdot \text{D}^{-6}$
volume flow $\text{L}^{3}\text{T}^{-1}$ $\text{m}^{3}\text{s}^{-1}$ $\text{au}^{3}\text{D}^{-1}$
etendue $\text{L}^{2}\text{A}^{2}$ $\text{m}^{2}$ $\text{au}^{2}$
photon intensity $\text{T}^{-1}\text{A}^{-2}$ $\text{Hz}$ $\text{D}^{-1}$
photon irradiance $\text{L}^{-2}\text{T}$ $\text{Hz} \cdot \text{m}^{-2}$ $\text{au}^{-2}\text{D}$
photon radiance $\text{L}^{-2}\text{T}\cdot \text{A}^{-2}$ $\text{Hz} \cdot \text{m}^{-2}$ $\text{au}^{-2}\text{D}$

Mechanical

Unified Metric IAU☉
inertia $\text{F}\cdot \text{L}^{-1}\text{T}^{2}$ $\text{kg}$ $\text{M}_\odot$
mass $\text{M}$ $\text{kg}$ $\text{M}_\odot$
mass flow $\text{M}\cdot \text{T}^{-1}$ $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ $\text{M}_\odot\cdot \text{D}^{-1}$
linear density $\text{M}\cdot \text{L}^{-1}$ $\text{kg}\cdot \text{m}^{-1}$ $\text{M}_\odot\cdot \text{au}^{-1}$
area density $\text{M}\cdot \text{L}^{-2}$ $\text{kg}\cdot \text{m}^{-2}$ $\text{M}_\odot\cdot \text{au}^{-2}$
density $\text{M}\cdot \text{L}^{-3}$ $\text{kg}\cdot \text{m}^{-3}$ $\text{M}_\odot\cdot \text{au}^{-3}$
specific weight $\text{F}\cdot \text{L}^{-3}$ $\text{kg}\cdot \text{m}^{-2}\text{s}^{-2}$ $\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-2}$
specific volume $\text{M}^{-1}\text{L}^{3}$ $\text{kg}^{-1}\text{m}^{3}$ $\text{M}_\odot^{-1}\text{au}^{3}$
force $\text{F}$ $\text{N}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}$
specific force $\text{F}\cdot \text{M}^{-1}$ $\text{m}\cdot \text{s}^{-2}$ $\text{au}\cdot \text{D}^{-2}$
gravity force $\text{F}^{-1}\text{M}\cdot \text{L}\cdot \text{T}^{-2}$ $\mathbb{1}$ $\mathbb{1}$
pressure $\text{F}\cdot \text{L}^{-2}$ $\text{Pa}$ $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}$
compressibility $\text{F}^{-1}\text{L}^{2}$ $\text{Pa}^{-1}$ $\text{M}_\odot^{-1}\text{au}\cdot \text{D}^{2}$
viscosity $\text{F}\cdot \text{L}^{-2}\text{T}$ $\text{Pa} \cdot \text{s}$ $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-1}$
diffusivity $\text{L}^{2}\text{T}^{-1}$ $\text{m}^{2}\text{s}^{-1}$ $\text{au}^{2}\text{D}^{-1}$
rotational inertia $\text{M}\cdot \text{L}^{2}$ $\text{kg}\cdot \text{m}^{2}$ $\text{M}_\odot\cdot \text{au}^{2}$
impulse $\text{F}\cdot \text{T}$ $\text{N} \cdot \text{s}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}$
momentum $\text{M}\cdot \text{L}\cdot \text{T}^{-1}$ $\text{N} \cdot \text{s}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}$
angular momentum $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{A}^{-1}$ $\text{J} \cdot \text{s}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}$
yank $\text{M}\cdot \text{L}\cdot \text{T}^{-3}$ $\text{N} \cdot \text{s}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}$
energy $\text{F}\cdot \text{L}$ $\text{J}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}$
specific energy $\text{F}\cdot \text{M}^{-1}\text{L}$ $\text{J} \cdot \text{kg}^{-1}$ $\text{au}^{2}\text{D}^{-2}$
action $\text{F}\cdot \text{L}\cdot \text{T}$ $\text{J} \cdot \text{s}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}$
fluence $\text{F}\cdot \text{L}^{-1}$ $\text{N} \cdot \text{m}^{-1}$ $\text{M}_\odot\cdot \text{D}^{-2}$
power $\text{F}\cdot \text{L}\cdot \text{T}^{-1}$ $\text{W}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}$
power density $\text{F}\cdot \text{L}^{-2}\text{T}^{-1}$ $\text{W} \cdot \text{m}^{-3}$ $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-3}$
irradiance $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}$ $\text{W} \cdot \text{m}^{-2}$ $\text{M}_\odot\cdot \text{D}^{-3}$
radiance $\text{F}\cdot \text{L}^{-1}\text{T}^{-1}\text{A}^{-2}$ $\text{W} \cdot \text{m}^{-2}$ $\text{M}_\odot\cdot \text{D}^{-3}$
radiant intensity $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\text{A}^{-2}$ $\text{W}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}$
spectral flux $\text{F}\cdot \text{T}^{-1}$ $\text{N} \cdot \text{s}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}$
spectral exposure $\text{F}\cdot \text{L}^{-1}\text{T}$ $\text{J} \cdot \text{m}^{-2} \cdot \text{Hz}^{-1}$ $\text{M}_\odot\cdot \text{D}^{-1}$
sound exposure $\text{F}^{2}\text{L}^{-4}\text{T}$ $\text{kg}^{2}\text{m}^{-2}\text{s}^{-3}$ $\text{M}_\odot^{2}\text{au}^{-2}\text{D}^{-3}$
impedance $\text{F}\cdot \text{L}^{-5}\text{T}$ $\text{kg}\cdot \text{m}^{-4}\text{s}^{-1}$ $\text{M}_\odot\cdot \text{au}^{-4}\text{D}^{-1}$
specific impedance $\text{F}\cdot \text{L}^{-3}\text{T}$ $\text{kg}\cdot \text{m}^{-2}\text{s}^{-1}$ $\text{M}_\odot\cdot \text{au}^{-2}\text{D}^{-1}$
admittance $\text{F}^{-1}\text{L}^{5}\text{T}^{-1}$ $\text{kg}^{-1}\text{m}^{4}\text{s}$ $\text{M}_\odot^{-1}\text{au}^{4}\text{D}$
compliance $\text{M}^{-1}\text{T}^{2}$ $\text{m} \cdot \text{N}^{-1}$ $\text{M}_\odot^{-1}\text{D}^{2}$
inertance $\text{M}\cdot \text{L}^{-4}$ $\text{kg}\cdot \text{m}^{-4}$ $\text{M}_\odot\cdot \text{au}^{-4}$

Electromagnetic

Unified Metric IAU☉
charge $\text{Q}$ $\text{C}$ $\text{C}$
charge density $\text{L}^{-3}\text{Q}$ $\text{m}^{-3}\text{C}$ $\text{au}^{-3}\text{C}$
linear charge density $\text{L}^{-1}\text{Q}$ $\text{m}^{-1}\text{C}$ $\text{au}^{-1}\text{C}$
exposure $\text{M}^{-1}\text{Q}$ $\text{kg}^{-1}\text{C}$ $\text{M}_\odot^{-1}\text{C}$
mobility $\text{F}\cdot \text{L}^{3}\text{T}^{-1}\text{Q}^{-1}$ $\text{m}^2 \text{s}^{-1} \text{V}^{-1}$ $\text{M}_\odot\cdot \text{au}^{4}\text{D}^{-3}\text{C}^{-1}$
current $\text{T}^{-1}\text{Q}$ $\text{s}^{-1}\text{C}$ $\text{D}^{-1}\text{C}$
current density $\text{L}^{-2}\text{T}^{-1}\text{Q}$ $\text{m}^{-2}\text{s}^{-1}\text{C}$ $\text{au}^{-2}\text{D}^{-1}\text{C}$
resistance $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-2}$ $\Omega$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-2}$
conductance $\text{F}^{-1}\text{L}^{-1}\text{T}^{-1}\text{Q}^{2}$ $\text{S}$ $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}\cdot \text{C}^{2}$
resistivity $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-2}$ $\Omega \cdot \text{m}$ $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\text{C}^{-2}$
conductivity $\text{F}^{-1}\text{L}^{-2}\text{T}^{-1}\text{Q}^{2}$ $\text{S} \cdot \text{m}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-3}\text{D}\cdot \text{C}^{2}$
capacitance $\text{F}^{-1}\text{L}^{-1}\text{Q}^{2}$ $\text{F}$ $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{2}\text{C}^{2}$
inductance $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}$ $\text{H}$ $\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}$
reluctance $\text{F}^{-1}\text{L}^{-1}\text{T}^{-2}\text{Q}^{2}\text{R}\cdot \text{C}^{-2}$ $\text{H}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-2}\text{C}^{2}$
permeance $\text{F}\cdot \text{L}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ $\text{H}$ $\text{M}_\odot\cdot \text{au}^{2}\text{C}^{-2}$
permittivity $\text{F}^{-1}\text{L}^{-2}\text{Q}^{2}\text{R}$ $\text{F} \cdot \text{m}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-3}\text{D}^{2}\text{C}^{2}$
permeability $\text{F}\cdot \text{T}^{2}\text{Q}^{-2}\text{R}^{-1}\text{C}^{2}$ $\text{H} \cdot \text{m}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{C}^{-2}$
susceptibility $\text{R}^{-1}$ $\mathbb{1}$ $\mathbb{1}$
specific susceptibility $\text{M}^{-1}\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ $\text{kg}^{-1}\text{m}^{3}$ $\text{M}_\odot^{-1}\text{au}^{3}$
demagnetizing factor $\text{R}$ $\mathbb{1}$ $\mathbb{1}$
vector potential $\text{F}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ $\text{Wb} \cdot \text{m}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-1}\text{C}^{-1}$
electric potential $\text{F}\cdot \text{L}\cdot \text{Q}^{-1}$ $\text{V}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{C}^{-1}$
magnetic potential $\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ $\text{s}^{-1}\text{C}$ $\text{D}^{-1}\text{C}$
electric field $\text{F}\cdot \text{Q}^{-1}$ $\text{V} \cdot \text{m}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-2}\text{C}^{-1}$
magnetic field $\text{L}^{-1}\text{T}^{-1}\text{Q}\cdot \text{R}\cdot \text{C}^{-1}$ $\text{m}^{-1}\text{s}^{-1}\text{C}$ $\text{au}^{-1}\text{D}^{-1}\text{C}$
electric flux $\text{F}\cdot \text{L}^{2}\text{Q}^{-1}$ $\text{V} \cdot \text{m}$ $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-2}\text{C}^{-1}$
magnetic flux $\text{F}\cdot \text{L}\cdot \text{T}\cdot \text{Q}^{-1}\text{C}$ $\text{Wb}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-1}\text{C}^{-1}$
electric displacement $\text{L}^{-2}\text{Q}\cdot \text{R}$ $\text{m}^{-2}\text{C}$ $\text{au}^{-2}\text{C}$
magnetic flux density $\text{F}\cdot \text{L}^{-1}\text{T}\cdot \text{Q}^{-1}\text{C}$ $\text{T}$ $\text{M}_\odot\cdot \text{D}^{-1}\text{C}^{-1}$
electric dipole moment $\text{L}\cdot \text{Q}$ $\text{m}\cdot \text{C}$ $\text{au}\cdot \text{C}$
magnetic dipole moment $\text{L}^{2}\text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ $\text{J} \cdot \text{T}^{-1}$ $\text{au}^{2}\text{D}^{-1}\text{C}$
electric polarizability $\text{F}^{-1}\text{L}\cdot \text{Q}^{2}$ $\text{kg}^{-1}\text{s}^{2}\text{C}^{2}$ $\text{M}_\odot^{-1}\text{D}^{2}\text{C}^{2}$
magnetic polarizability $\text{L}^{3}\text{A}^{-1}\text{R}^{-1}$ $\text{m}^{3}$ $\text{au}^{3}$
magnetic moment $\text{F}\cdot \text{L}^{2}\text{T}\cdot \text{Q}^{-1}\text{C}$ $\text{Wb} \cdot \text{m}$ $\text{M}_\odot\cdot \text{au}^{3}\text{D}^{-1}\text{C}^{-1}$
specific magnetization $\text{F}^{-1}\text{M}\cdot \text{L}^{-2}\text{T}^{-1}\text{Q}\cdot \text{C}^{-1}$ $\text{m}^{-3}\text{s}\cdot \text{C}$ $\text{au}^{-3}\text{D}\cdot \text{C}$
pole strength $\text{L}\cdot \text{T}^{-1}\text{Q}\cdot \text{A}^{-1}\text{C}^{-1}$ $\text{m}\cdot \text{s}^{-1}\text{C}$ $\text{au}\cdot \text{D}^{-1}\text{C}$

Thermodynamic

Unified Metric IAU☉
temperature $\Theta$ $\text{K}$ $\text{K}$
entropy $\text{F}\cdot \text{L}\cdot \Theta^{-1}$ $\text{J} \cdot \text{K}^{-1}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}$
specific entropy $\text{F}\cdot \text{M}^{-1}\text{L}\cdot \Theta^{-1}$ $\text{J} \cdot \text{K}^{-1} \text{kg}^{-1}$ $\text{au}^{2}\text{D}^{-2}\text{K}^{-1}$
volume heat capacity $\text{F}\cdot \text{L}^{-2}\Theta^{-1}$ $\text{kg}\cdot \text{m}^{-1}\text{s}^{-2}\text{K}^{-1}$ $\text{M}_\odot\cdot \text{au}^{-1}\text{D}^{-2}\text{K}^{-1}$
thermal conductivity $\text{F}\cdot \text{T}^{-1}\Theta^{-1}$ $\text{W} \cdot \text{m}^{-1} \text{K}^{-1}$ $\text{M}_\odot\cdot \text{au}\cdot \text{D}^{-3}\text{K}^{-1}$
thermal conductance $\text{F}\cdot \text{L}\cdot \text{T}^{-1}\Theta^{-1}$ $\text{W} \cdot \text{K}^{-1}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-3}\text{K}^{-1}$
thermal resistivity $\text{F}^{-1}\text{T}\cdot \Theta$ $\text{K} \cdot \text{m} \cdot \text{W}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-1}\text{D}^{3}\text{K}$
thermal resistance $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \Theta$ $\text{K} \cdot \text{W}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\text{K}$
thermal expansion $\Theta^{-1}$ $\text{K}^{-1}$ $\text{K}^{-1}$
lapse rate $\text{L}^{-1}\Theta$ $\text{m}^{-1}\text{K}$ $\text{au}^{-1}\text{K}$

Molar

Unified Metric IAU☉
molar mass $\text{M}\cdot \text{N}^{-1}$ $\text{kg}\cdot \text{mol}^{-1}$ $\text{M}_\odot\cdot \text{mol}^{-1}$
molality $\text{M}^{-1}\text{N}$ $\text{kg}^{-1}\text{mol}$ $\text{M}_\odot^{-1}\text{mol}$
molar amount $\text{N}$ $\text{mol}$ $\text{mol}$
molarity $\text{L}^{-3}\text{N}$ $\text{m}^{-3}\text{mol}$ $\text{au}^{-3}\text{mol}$
molar volume $\text{L}^{3}\text{N}^{-1}$ $\text{m}^{3}\text{mol}^{-1}$ $\text{au}^{3}\text{mol}^{-1}$
molar entropy $\text{F}\cdot \text{L}\cdot \Theta^{-1}\text{N}^{-1}$ $\text{J} \cdot \text{K}^{-1} \text{mol}^{-1}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{K}^{-1}\text{mol}^{-1}$
molar energy $\text{F}\cdot \text{L}\cdot \text{N}^{-1}$ $\text{J} \cdot \text{mol}^{-1}$ $\text{M}_\odot\cdot \text{au}^{2}\text{D}^{-2}\text{mol}^{-1}$
molar conductivity $\text{F}^{-1}\text{T}^{-1}\text{Q}^{2}\text{N}^{-1}$ $\text{S} \cdot \text{m}^2 \text{mol}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-1}\text{D}\cdot \text{C}^{2}\text{mol}^{-1}$
molar susceptibility $\text{L}^{3}\text{N}^{-1}\text{A}^{-1}\text{R}^{-1}$ $\text{m}^{3}\text{mol}^{-1}$ $\text{au}^{3}\text{mol}^{-1}$
catalysis $\text{T}^{-1}\text{N}$ $\text{kat}$ $\text{D}^{-1}\text{mol}$
specificity $\text{L}^{3}\text{T}^{-1}\text{N}^{-1}$ $\text{m}^{3}\text{s}^{-1}\text{mol}^{-1}$ $\text{au}^{3}\text{D}^{-1}\text{mol}^{-1}$
diffusion flux $\text{L}^{-2}\text{T}\cdot \text{N}$ $\text{m}^{-2}\text{s}\cdot \text{mol}$ $\text{au}^{-2}\text{D}\cdot \text{mol}$

Photometric

Unified Metric IAU☉
luminous flux $\text{J}$ $\text{cd}$ $\text{lm}$
luminous intensity $\text{J}\cdot \text{A}^{-2}$ $\text{cd}$ $\text{lm}$
luminance $\text{L}^{-2}\text{J}\cdot \text{A}^{-2}$ $\text{lx}$ $\text{au}^{-2}\text{lm}$
illuminance $\text{L}^{-2}\text{J}$ $\text{lx}$ $\text{au}^{-2}\text{lm}$
luminous energy $\text{T}\cdot \text{J}$ $\text{s}\cdot \text{lm}$ $\text{D}\cdot \text{lm}$
luminous exposure $\text{L}^{-2}\text{T}\cdot \text{J}$ $\text{lx} \cdot \text{s}$ $\text{au}^{-2}\text{D}\cdot \text{lm}$
luminous efficacy $\text{F}^{-1}\text{L}^{-1}\text{T}\cdot \text{J}$ $\text{lm} \cdot \text{W}^{-1}$ $\text{M}_\odot^{-1}\text{au}^{-2}\text{D}^{3}\text{lm}$