
165Electrochemical Kinetics
temperature. From statistical mechanics, the frequency factor f is given as
k
B
T/h, where k
B
is Boltzmann constant and h is Planck’s constant.
The reaction rate v is the product of the reaction rate constant and the reac-
tant concentration. For reduction process, the reaction rate v
f
is written as
vC kC
kT
e
G
RT
fOx,surf fOx,surf
B
f
==
−
,
(5.8)
where C
Ox,surf
is the concentration of oxidant species. Here, the reaction rate
for reduction process is
k
kT
e
G
RT
f
B
f
=
−
.
(5.9)
Similarly, the reaction rate for oxidation reaction is given as
vC kC
kT
e
G
RT
bRed,surfb Red,surf
B
b
==
−
,
(5.10)
where C
Ox,surf
is the concentration of reductant species. ...