Troughout this page, u refers to a solution vector and electrolyte refers to an instance of ElectrolyteData.
| Symbol | Unit | Meaning | Notation in code |
|---|
| $\phi$ | $V$ | electrostatic potential | u[iϕ] |
| $p$ | $Pa$ | pressure | u[ip] |
| $c_i$ | $\frac{mol}{m^3}$ | molar concentration | u[i] |
| $\gamma_i=\gamma_i(c_1\dots c_n, p)$ | $1$ | activity coefficient | see electrolyte.actcoeff! |
| $N_i$ | $\frac{mol}{m^2\cdot{}s}$ | molar flux | see LiquidElectrolytes.pnpflux! |
| $q=F\sum_{i=1}^N z_i c_i$ | $\frac{A\cdot{}s}{m^3}$ | electric charge density | see chargedensity |
| Symbol | Unit | Meaning | Notation in code |
|---|
| $z_i$ | 1 | charge number | electrolyte.z[i] |
| $D_i$ | $\frac{m^2}{s}$ | diffusion coefficient | electrolyte.D[i] |
| $v_i$ | $\frac{m^3}{mol}$ | molar volume | electrolyte.v0, electrolyte.v[i] |
| $M_i$ | $\frac{kg}{mol}$ | molar mass | electrolyte.M0, electrolyte.M[i] |
| $κ_i$ | $1$ | solvation number | electrolyte.κ[i] |
| $ε$ | $1$ | mixture dielectric permittivity | electrolyte.ε |
| $T$ | $K$ | temperature | electrolyte.T |
| $c^\circ=\frac{1}{v_0}$ | $\frac{mol}{m^3}$ | reference concentration | 1/electrolyte.v0 |
| $p^\circ$ | $Pa$ | reference pressure | electrolyte.p_bulk |
| $\mu_i^\circ$ | $\frac{J}{mol}$ | reference chemical potential | 0 |
| Symbol | Unit | Meaning | Notation in code |
|---|
| $ε_0=8.854187\cdot 10^{-12}$ | $\frac{A\cdot{}s}{V\cdot{}m}$ | vacuum dielectric permittivity | electrolyte.ε0 |
| $F=9.64853321 \cdot 10^4$ | $\frac{A\cdot{}s}{mol}$ | Faraday constant | electrolyte.F |
| $R=8.31446261815324$ | $\frac{J}{mol\cdot{}K}$ | molar gas constant | |
| Symbol | Unit | Meaning | Notation in code |
|---|
| $\bar v_i = v_i + \kappa_i v_0$ | $\frac{m^3}{mol}$ | solvated ion molar volume | electrolyte.barv[i] |
| $c_0 = \frac{1}{v_0}- \sum_{i=1}^N \frac{\bar v_i}{v_0}c_i$ | $\frac{mol}{m^3}$ | molar concentration of solvent | see c0_barc |
| $\bar c = \sum_{i=0}^N c_i= \frac{1}{v_0}+ \sum_{i=1}^N \left (1 -\frac{\bar v_i}{v_0}\right) c_i$ | $\frac{mol}{m^3}$ | molar concentration of mixture | see c0_barc |
| $m_i=\frac{M_i+\kappa_iM_i}{M_0}=\frac{M_i}{M_0}+\kappa_i$ | $\frac{kg}{mol}$ | solvated molar mass ratio | electrolyte.Mrel |
| $\tilde v_i=\frac{v_i+\kappa_iv_i}{v_0}=\frac{v_i}{v_0}+\kappa_i$ | $\frac{kg}{mol}$ | solvated molar volume ratio | electrolyte.tildev |
All physical quantities are assumed to be consistently represented through their values expressed in basic SI units (m, kg, s, A, K, mol, cd), supported by the LessUnitful.jl package built on top of Unitful.jl. Values of physical constants are obtained via LessUnitful.jl from PhyscialConstants.CODATA2018.