Biomedical Engineering Reference
In-Depth Information
L
S
Air (
ε
1
=1)
Electrodes
h
2
ε
2
Dielectric 1
h
3
Dielectric 2
ε
3
W
FIGURE 4.8
Electrode configuration of in-plane measurement of two-layer dielectrics model.
In-Plane Two-Layer Model
Figure 4.8 illustrates the electrode configuration of in-plane measurement of the two-layer
dielectrics model. Formulae for the in-plane capacitance of the two-layer structure are
shown below.
The total capacitance of the multilayer capacitor is calculated as the sum of partial
capacitances
C
=
C
1
+
C
2
+
C
3
(4.54)
where
C
1
,
C
2
, and
C
3
are the capacitances of air, dielectric 1, and dielectric 2, respectively
[24,25]. More complicated formulae corresponding to
n
parallel circuits have been given
by Volger [23].
2
4
L
S
C w
=
ε
π
ln
(4.55)
1
0
w
s h
(
−
)
ε ε
ε
π
C
=
0
2
3
(4.56)
2
/
2
+
(
4
/
) ln
2
1
h
2
+
h
3
(4.57)
C
=
w
(
−
1
)
ln
16
ε ε
3
0
3
s
π
π
ImpedanceSpectroscopyonDiamond-BasedMaterials
In this section, impedance measurements on a variety of diamond-based materials will be
discussed, which include single-crystalline, polycrystalline, and nanocrystalline.
