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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

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