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Thermodynamics of surfaces and interfaces

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Presentation on theme: "Thermodynamics of surfaces and interfaces"— Presentation transcript:

1 Thermodynamics of surfaces and interfaces
Atkins (ed. 10): §16C C.4 Atkins (ed. 9): § Atkins (ed. 8): § Study Guide: P.14

2 Na2ClO3 crystals in solution

3 Large crystals grow; small crystals dissolve
T = 1 day 3

4 Large crystals grow; small crystals dissolve
Wilhelm Ostwald Ostwald ripening (1896) T = 0 T = 1 day 4

5 Equilibrium: one single crystal
T = 1 day 10 days 30 days 5

6 Equilibrium: one single crystal
T = 1 day 10 days 30 days 6

7 Gibbs-Thomson effect Interfacial (free) energy between two phases

8 Gibbs-Thomson effect Interfacial (free) energy between two phases
relevant for P >1 P =1 P =2,3 P =2,3

9 Laplace equation γ r out in equilibrium

10 Laplace equation γ r γ r+dr equilibrium Laplace equation

11 Surface tension γ

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13 Surface tension and capillary action
Pressure of liquid column of height h Laplace equation equilibrium capillary action

14 Surface tension and capillary action

15 Surface tension and wetting
specific work (J/m2) of adhesion (γ is always trying to reduce the corresponding surface) horizontal Force (N/m) balance (equilibrium)

16 Surface tension and wetting
} Work (J/m2) Force (N/m) partial dewetting partial wetting

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18 Kelvin equation (nucleation barrier for condensation)
γ Pout Laplace equation Pin l g equilibrium constant T Kelvin equation

19 barrier for nucleation of phase α from phase β
reason: interface energy between new and old phase classical nucleation theory assume spherical nucleus, radius r driving force: surface free energy: γ molar volume: Vm γ β α Free energy gain cost

20 nucleation barrier nucleation barrier and critical radius nucleation barrier depends on supersaturation (Δμ = σ) -low σ: no nucleation -high σ: easy nucleation

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