Lecture handout including QS - Department of Materials Science ...
Lecture handout including QS - Department of Materials Science ...
Lecture handout including QS - Department of Materials Science ...
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BH44 Course B: <strong>Materials</strong> for Devices BH44<br />
Solid Ionic Conducting <strong>Materials</strong><br />
Ceramics, which are compounds between metallic and non-metallic elements (e.g. oxides, nitrides,<br />
carbides), are generally electrically insulating (all electrons are bound to atoms or bonds):<br />
e.g. Al 2<br />
O 3<br />
: resistivity, ρ = ~10 10 Ωm or conductivity, σ =10 -10 Ω −1 m −1 or Sm -1<br />
c.f. Cu: ρ = 1.6×10 -8 Ωm σ = 6×10 7 Ω −1 m −1<br />
However, some ceramics can conduct via ionic conduction.<br />
e.g. the ionic conductivity <strong>of</strong> (ZrO 2<br />
+ 8 mol.% Y 2<br />
O 3<br />
) is ~ 0.1 Ω −1 m −1 @ 500° C<br />
An example <strong>of</strong> a ceramic structure:<br />
interstitial<br />
+<br />
vacancy<br />
anion<br />
(Frenkel defect)<br />
+<br />
cation<br />
vacancies<br />
(Shottky<br />
defect) → charge neutrality<br />
Ions / atoms aren’t completely stationary on their lattice sites; the higher the temperature, the larger<br />
the amplitude with which they vibrate. They can migrate through the lattice by swapping position with<br />
other ions / atoms, and this migration is greatly enhanced by the existence <strong>of</strong> vacant sites.<br />
Ions migrate by hopping into vacant lattice sites:<br />
Ionic mobility depends upon:<br />
- whether an adjacent site is empty, and<br />
- the energy barrier between lattice sites<br />
An ionic current flow can result from:<br />
(a) a concentration gradient (<strong>of</strong> ions, or vacancies): diffusion current<br />
(random diffusion evens out the gradient) and / or<br />
(b) an electric field, E: drift current