Physical Quantities

Symbol	Unit	Description
$V_{\text{t}}$	V	threshold voltage
$\mu_{\mathrm{eff}}$	$\mathrm{cm}^{2}\, \mathrm{V}^{-1}\mathrm{s}^{-1}$	effective mobility
$\vec{R}$	m	displacement vector
$\bar{\varepsilon}$	1	displacement tensor
$\bar{\epsilon}$	1	strain tensor
$\epsilon_{i j}$	1	displacement tensor component
$\varepsilon_{i j}$	1	strain tensor component
$\vec{\sigma}$	Nm$^{-2}$	stress vector
$\bar{\sigma}$	Nm$^{-2}$	stress tensor
$C_{ijkl}$	Nm$^{-2}$	elastic stiffness tensor
$S_{ijkl}$	N$^{-1}$m$^{2}$	elastic compilance tensor
$m_\mathrm{l}$	kg	longitudinal electron mass
$m_\mathrm{t}$	kg	transversal electron mass
$\mathcal{H}$	$eV$	Hamiltonian
$\mathcal{H}\left(\bar{\epsilon}\right)$	eV	strain dependent Hamiltonian
$\mathcal{D}^{\alpha \beta}$	eV	deformation potential for strain components $\alpha \beta$
$E$	eV	energy
$\delta E_{0}^{v_{i}}$	eV	energy shifts of the conduction band edge for valeys
		along $\langle100\rangle$ and $\langle111\rangle$ direction
$\Xi_{\mathrm{d}}^{v}$	eV	dilatation deformation potential for a valley of type $v=\Delta,L$
$\Xi^{v}_{\mathrm{u}}$	eV	uniaxial deformation potential for a valley of type $v=\Delta,L$
$\Xi_{u'}$	eV	shear strain deformation potential
$\vec{r}$	m$^{D}$	space vector for $D$ dimensions
$\Psi_{n}$	m$^{-D/2}$	wave function in the eigenstate $n$ and $D$ dimensions
$E_{n}$	eV	eigenenergy of the eigenstate $n$
$\vec{k}$	m$^{-D}$	wave vector for $D$ dimensions
$u_{n \vec{k}}\left(\vec{r}\right)$	$\mathrm{m}^{-D/2}$	Bloch function for $D$ dimensions
$\Omega$		m$^{D}$
$m^{\ast}_{ij}$	kg	effective mass tensor
$m_{\text{l}}$	kg	longitudinal effective mass
$m_{\text{t}}$	kg	transversal effective mass
$\left[X\right]$	$\mathrm{mol}/\mathrm{l}$	concentration of molecule/atom $X$
$\Lambda_{\infty}$	$\mathrm{l}\,\Omega^{-1}\mathrm{mol}^{-1}$	molar conductivity of an electrolyte in infinite dilution
$\Lambda$	$\mathrm{l}\,\Omega^{-1}\mathrm{mol}^{-1}$	effective conductivity of an electrolyte
$\Lambda^{\pm}$	$\mathrm{l}\,\Omega^{-1}\mathrm{mol}^{-1}$	molar conductivities for positive and negative ions
$\nu^{\pm}$	1	valences for positive and negative ions
$\mu^{\pm}$	$\mathrm{cm}^{2}\mathrm{V}^{-1}\mathrm{s}^{-1}$	ionic mobility for positive and negative ions
$K$	$\Omega\, \mathrm{mol}^{3/2}\mathrm{l}^{-3/2}$	Kohlrausch coefficient
$V_{\mathrm{o}}$	V	overpotential (applied potential minus built in potential)
$V_{\mathrm{a}}$	V	externally aplied potential
$\tilde{u}_{\mathrm{X}}$	V	electrochemical potential for material X
$u_{\mathrm{X}}$	V	chemical potential for material X
$\Phi_{\mathrm{X}}$	V	inner potential of matrial X
$E_{\mathrm{ref}}$	V	reference electrode potential
$\chi_{\mathrm{X}}$	V	electron affinity X
$V_{\mathrm{FB}}$	V	flatband voltage
$\psi$	V	potential
$\varepsilon_{\mathrm{sol}}$	1	relative permittivity of the solute
$c_{0}$	$\mathrm{mol}/\mathrm{l}$	bulk concentration
$\sigma _{0}$	$\mathrm{As}\,\mathrm{cm}^{-2}$	charge density of the electrolytic double layer
$K_{a}$	$\mathrm{mol}/\mathrm{l}$	reaction equilibrium constant for positive charging
$K_{b}$	$\mathrm{mol}/\mathrm{l}$	reaction equilibrium constant for negative charging
$\sigma_{\mathrm{Ox}}$	$\mathrm{As}\,\mathrm{cm}^{-2}$	surface charge density
$N_{s}$	$\mathrm{cm}^{-3}$	total binding site density
$\sigma_{\mathrm{s}}$	$\mathrm{As}\,\mathrm{cm}^{-2}$	charge density of the semiconductor
$\xi$	$1$	valency of the corresponding ion
$c_{\xi}^{\infty}$	$\mathrm{mol}/\mathrm{l}$	bulk concentration for the ion with valency $\xi$
$\psi_{\mu}$	V	chemical potential
$\rho_{\mathrm{Space}}$	$\mathrm{As}\,\mathrm{cm}^{-3}$	space charge density
$\sigma_{\mathrm{Sheet}}$	$\mathrm{As}\,\mathrm{cm}^{-2}$	sheet charge density
$\lambda _{\mathrm {D}}$	$\mathrm{m}$	Debye length
$I$	$\mathrm{mol}/\mathrm{l}$	ionic strength
$\varphi$	$1$	scaled potential
$\mathcal{E}$	$\mathrm{m}^{-1}$	electric field
$\mathscr{E}$	$1$	scaled energy
$\mu_{n}$	$\mathrm{cm}^{2}\,V^{-1} s^{-1}$	electron mobility
$\mu_{p}$	$\mathrm{cm}^{2}\,V^{-1} s^{-1}$	hole mobility