Atomic Defects in Solids Flashcards
1
Q
What are point defects
A
- All crystalline solids contain defects (imperfections) of structure or composition (for T>0K)
- Point defects occur at single lattice sites
2
Q
What do defects influence
A
- Optical/photographic (Ag defects in AgCl)
- Ionic conduction (mobile defects in batteries)
- Solid catalysts (surface defects)
- Gemstones (colour due to impurities)
3
Q
What are the defect concentrations normally
A
- Normally very small < 1% in most solids
4
Q
Why do solids have defects
A
- They introduce disorder so increase entropy
- Formation of defects is normally endothermic because the lattice is disrupted so the enthalpy of the solid increases
- But -TS becomes more negative as defects introduce disorder into the lattice and entropy rises
- If T>0 the Gibbs energy will have a minimum at a nonzero concentration of defects and their formation will be spontaneous
5
Q
What happens to the number of defects as temperature increases
A
- As temperature of solid is raised, the minimum in G shifts to higher defect concentrations
- So solids have a greater number of defects as their melting points are approached
6
Q
Where is defect formation
A
- Intrinsic
2. Occurs in pure compound
7
Q
What are the different types of defects
A
- Schottky defect
2. Frenkel defect
8
Q
What is a Schottky defect
A
- A pair of vacancies (anion + cation)
- Found in alkali halides (NaCl, KCl etc) and binary oxides (MgO, CaO)
- Intrinsic defect
- stoichiometric- overall composition is unchanged- equal numbers of the two vacancies to keep charge-balanced
9
Q
What is the name for defect notation
A
- Kroger-Vink notation
10
Q
What is the notation for a vacancy
A
- V= vacancy
- Superscript= effective charge (dot= +ve, dash= -ve)
- Subscript= atom symbol
11
Q
Give a Schottky equation for NaCl
A
- Na(Na)x + Cl(Cl)x –> V(Na)I + V(Cl). + NaCl (surface)
- X= effective normal lattice charge
- Left hand side= normal lattice sites
12
Q
Give the schottky equation for CaCl2
A
- Ca(Cl)x + 2Cl(Cl) x –> V(Ca)II + 2V(Cl). + CaCl2 (surface)
13
Q
Give the schottky equation for MgO
A
- Mg(Mg)x + O(O) X –> V(Mg)II + V(O).. + MgO (surface)
14
Q
How can you calculate the number of Schottky defects
A
- Nschottky = BNexp (-deltaH/2RT)
- N= total number of sites
- Delta H= enthalpy of defect formation
- T= temperature
- B= pre-exponential factor
- R= Gas constant
15
Q
Where do Schottky defects most commonly occur
A
- Purely ionic solids (NaCl)
- Most commonly in structures with high coordination number- close packed ions and metals as enthalpy of reducing the average coordination number is relatively low