Solutions to exercises
Solution 3.1 – Influence of geometric factor
1. The curve for the resistance R 1 as a function of the geometric factor is shown
in figure 54 from the data in table 33.
Table 33 – Resistance of several cylindrical samples
of solid solution (CeO 2 ) 0.89 (CaO) 0.11 for various geometric factors.
Geometric factor k [cm
−1
]
0.255
0.597
0.707
1.194
2.037
Resistance R 1 [kΩ]
19.53
45.80
54.20
91.55 156.21
N>FP
<
@
5
>N@
Figure 54 – Resistance R 1 as a function of geometric factor.
We find a linear variation in resistance.
2. The equation for the line in figure 54 is
R = 76.594 # k
we conclude that R 1 , which was obtained at high frequency, is representative
of the ohmic resistance of the solid solution. It is a bulk property.
3. The conductivity σ of the solid solution is given by
R
1 S
R
k
,
σ =
=
#
Solution 3.1 – Influence of geometric factor
1. The curve for the resistance R 1 as a function of the geometric factor is shown
in figure 54 from the data in table 33.
Table 33 – Resistance of several cylindrical samples
of solid solution (CeO 2 ) 0.89 (CaO) 0.11 for various geometric factors.
Geometric factor k [cm
−1
]
0.255
0.597
0.707
1.194
2.037
Resistance R 1 [kΩ]
19.53
45.80
54.20
91.55 156.21
N>FP
<
@
5
>N@
Figure 54 – Resistance R 1 as a function of geometric factor.
We find a linear variation in resistance.
2. The equation for the line in figure 54 is
R = 76.594 # k
we conclude that R 1 , which was obtained at high frequency, is representative
of the ohmic resistance of the solid solution. It is a bulk property.
3. The conductivity σ of the solid solution is given by
R
1 S
R
k
,
σ =
=
#