109
Fundamentals of Electrochemical Pseudocapacitors
3
2
1
0.3
100
0
E/V(vs RHE)
I/μA.cm –2
FIGURE 3.3
Current versus voltage of UPD. (1) Pt(111), (2) Pt(100), and (3) Pt(110) with hydrogen in H 2 SO 4 .
(Source: Clavilier, J. et al. Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 295,
333. With permission.) Scan rate was 50 mV/s and temperature was 298 K for each case. (Source:
Claviller, J. et al., Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 295, 333.
With permission.)
C
⎛
o
RT
+
H
Γ Pt
o
RT T
C (Γ
o
) ⎞
− Γ
E E
= +
+
H
ln(
)
H Pt
E
−
= +
/
H P
/ t−H
+
ln ⎜
+
H
Pt − H
Pt − H
⎟ (3.13)
⎜
⎟
nF
Γ Pt −H
nF
Γ
⎝
Pt −H
⎠
Or
⎡
⎤
⎢
⎥
⎢
1
⎥
Γ
o
Pt−H = Γ Pt−H ⎢
1
⎛ nF
⎞ ⎥
⎢1+
exp ⎜
(E E
−
o
) ⎟⎥
⎢ ⎣ C +
H
⎝ RT
+
H P
/ t−H ⎠ ⎠⎥ ⎦
(3.13a)