Physical Quantities

Symbol		Unit		Description
$\omega_{ij}$		ms$^{-1}$		Hopping rate between two sites
$\alpha$		cm$^{-1}$		Inverse localization length
$\nu_0$		s$^{-1}$		Attempt to escape frequency
$E_i$		eV		Energy at site $i$
$E_j$		eV		Energy at site $j$
$R_{ij}$		cm		Distance between site $i$ and $j$
$f_i$		1		Occupation probability of site $i$
$f_j$		1		Occupation probability of site $j$
$t$		s		Time
$\mu_i$		eV		Chemical potential at site $i$
$\mu_j$		eV		Chemical potential at site $j$
$\sigma_{ij}$		S/cm		Conductivity between sites $i$ and $j$
$\Delta\mu$		eV		Voltage drop over a single hopping distance
$k_B$		J/K		Boltzmann constant
$T$		K		Temperature
$\Delta E$		eV		Energy drop over a single hopping distance
$G$		S/cm		Hopping conductivity
$R_{max}$		cm		Maximum hopping distance between two sites
$E_{max}$		eV		Maximum hopping energy of innitial or finial site
$N_s$		cm$^{-3}$		Sites density in percolation theory
$N_b$		cm$^{-3}$		Bonds density in percolation theory
$g\left(E\right)$		cm$^{-3}$eV$^{-1}$		Density of states
$\theta$		1		Unit step function

Symbol		Unit		Description
$E_{tr}$		eV		Transport energy
$p$		cm$^{-3}$		Total hole concentration
$p_c$		cm$^{-3}$		Mobile hole concentration
$n$		cm$^{-3}$		Electron concentration
$\Phi$		V		Potential
$\delta$		1		Fraction of occupied states
$N_t$		cm$^{-3}$		Concentration of trap states
$Z_c$		S/cm		Critical conductivity in percolation theory
$E_F$		eV		Fermi energy
$T_0$		K		Width of exponetion DOS
$T_\sigma$		eV		Width of Gaussian DOS
$\bf {R_{ij}}$		1		Distance vector between sites $i$ and $j$
$F$		V/m		Electric field
$X_f$		m		Average hopping distance along the electric field
$R_{nn}$		m		Nearest hopping range
$\sigma$		eV		Variance of Gaussian DOS
$\sigma_0$		S/cm		Conductivity prefactor in percolation theory
$E_\infty$		eV		Thermal equilibrium energy of hopping carriers
$E_A$		eV		Activation energy
$N_d$		cm$^{-3}$		Total concentration of dopant states
$T_1$		K		Width of exponential DOS for dopants
$j$		A/cm$^{-2}$		Current density
$\Delta$		eV		Barrier height between metal and organic semiconductor
$m_{eff}$		kg		Effective mass
$x_d$		m		Critical distance
$\epsilon_r$		Fm$^{-1}$		Relative dielectric constant
$G_s$		S/cm		Sheet conductance
$I_d$		A/cm$^{-2}$		Drain current density
$V_G$		V		Gate voltage
$\tau_{rel}$		s		Relaxiation time for hopping transport