## 5.3 Symbols and physical constants

### 5.3.1 Symbols and Units

symbol description in basic units standard unit
$\vec{A}$vector potentialkg m/(A s^2)V s/m
$\vec{A}$Laplace-Runge-Lenz vectorkg^2 m^3/s^2kg^2 m^3/s^2
$\vec{a}$, $\ddot{\vec{r}}$accelerationm/s^2m/s^2
$\vec{B}$magnetic flux densitykg/(A s^2)T
$C$Capacitance(A^2 s^4)/(kg m^2)F
$\vec{d}$electric dipole momentA s mC m
$\vec{E}$electric field strengthkg m/(A s^3)V/m
$\mathcal{E}$total energykg m^2/s^2J
$\varepsilon$permittivityA^2 s^4/(kg m^3)A s/(V m)
$\vec{F}$forcekg m/s^2N
$f$frequency1/sHz
$I$electric currentAA
$\vec{j}$current densityA/m^2A/m^2
$\vec{L}$angular momentumkg m^2/skg m^2/s
$\lambda$wavelengthmm
$\lambda$linear charge densityA s/mC/m
$M$gravitational mass, "gravity charge"kgkg
$m$inertial masskgkg
$\vec{\mu}$magnetic momentA m^2A m^2
$\omega$angular frequency1/sHz
$\vec{\omega}$angular velocityrad/srad/s
$P$powerkg m^2/s^3W
$P$pressurekg/(m s^2)Pa
$\vec{\mathcal{P}}$quantino pressurekg/(m s^2)Pa
$\vec{p}$momentumkg m/sN s
$\varphi$electric potentialkg m^2/(A s^3)V
$q$, $Q$electric chargeA sC
$\vec{r}$position vectormm
$\rho$volumetric mass densitykg/m^3kg/m^3
$T$kinetic energykg m^2/s^2J
$t$, $\tau$time, durationss
$\Theta$temperatureKK
$U$voltagekg m^2/(A s^3)V
$V$potential energykg m^2/s^2J
$V$volumem^3m^3
$\vec{v}$, $\vec{u}$, $\vec{w}$, $\dot{\vec{r}}$velocitym/sm/s
$W$workkg m^2/s^2J

### 5.3.2 Physical constants

symbol description value
$c$speed of light299792458 m/s
$\varepsilon_0$vacuum permittivity8.854187817 10^-12 A s/(V m)
$\mu_0$vacuum permeability = 1/($\varepsilon_0\,c^2$)1.2566370614 10^-6 N/A^2
$e$elementary charge1.6021766208 10^-19 C
$G$gravitational constant6.67408 10^-11 m^3/(kg s^2)
$h$Planck constant6.626070040 10^-34 J s
$\hbar$reduced Planck constant = $h/2\,\pi$1.054571800 10^-34 J s
$N_A$Avogadro constant6.022140857 10^23 1/mol
mass of the electron9.10938356 10^-31 kg
mass of the proton1.672621898 10^-27 kg
mass of the neutron1.674927471 10^-27 kg
Earth mass5.974 10^24 kg
average diameter of the earth12734900 m