Page 173 - Lindens Handbook of Batteries

6.26 PRINCIPLES OF OPERATION

2
D s Diffusion coefficient of the ion in the electrode (m /s)
E a Activation energy (J/mol)
E 0 Equilibrium potential (V) of electrode
F Faraday’s constant (96487 C/mol)
G Gibb’s free energy (J/mol)
∆H Amount of heat generated (J)
2
i Current density (A/m )
2
i Exchange current density (A/m )
0, j
I Current (A)
j Volumetric current density, A/m 3
L Length (m)
M Molecular weight (kg/mol)
n Number of electrons transferred
2
N Flux (mol/m /s)
3
N Volume averaged flux (mol/m /s)
2
ˆ
N Effective flux of an ion (mol/m /s)
q Charge (C)
Q Capacity of the cell (Ah)
Q 0 Initial capacity of the cell (Ah)
r Empirical parameter used in Table 6.1 (mOhm)
R Ohmic resistance within a cell (Ohm)
R ct Charge transfer resistance (Ohm)
3
R k Rate of reaction involving ions k (mol/m /s)
3
R Volume averaged reaction rate (mol/m /s)
R Universal gas constant (8.314 J/mol/K)
t Time (s)
0
t Transport number
+
T Temperature (K)
2
u Mobility of an ion (cm mol/J/s)
v Convective velocity (m/s)
3
V Volume of the electrode (m )
V Cell voltage (V)
V 0 Open circuit voltage (OCV) of the cell (V)
x Spatial variable (m)
z Charge carried by an ion

Greek

α Transfer coefficient
δ Thickness of the SEI film (m)
film
ε Porosity
κ Ionic conductivity of the electrolyte (S/cm)