Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett....

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Diffusion on surfaces face Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet

Transcript of Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett....

Page 1: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Diffusion on surfaces

Surface Science Course 2006 Achim Schnadt

TR Linderoth et al.Phys. Rev. Lett. 82 (1999) 1494Aarhus Universitet

Page 2: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Surface diffusion is important for ...

G. Ertl, Lecture at Nobel SymposiumEnergy in Cosmos, Molecules and Life, July 2005

... growth processes

... surface reactions

A. Groß, Theoretical Surface Science, Springer-Verlag

Page 3: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Image fromJ. V. Barth, Surf. Sci. Rep. 40 (2000) 75

Chemisorption, physisorption, and precurors

Which particles do diffuse on surfaces?

Page 4: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

T. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Tekniska Högskolan, HelsingforsBrown University, Rhode Island

Università di Genova

Page 5: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

T. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Tekniska Högskolan, HelsingforsBrown University, Rhode Island

Università di Genova

Page 6: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Quantum tunnelling

only for hydrogen!

Classical movement

T. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Tekniska Högskolan, HelsingforsBrown University, Rhode Island

Università di Genova

Page 7: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Some theory ...

Following the treatment inA. Groß,Theoretical Surface Science,Springer-Verlag

Page 8: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.
Page 9: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

A. Zangwill, Physics at Surfaces,Cambridge University Press

Page 10: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Initial state – transition state – final state

T. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Single jump diffusion on a fcc(100) metal surface. A. Groß, Theoretical Surface Science, Springer-Verlag.

Page 11: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

What would you expect for the diffusion on a stepped surface?

(take into account what you’ve just learned about transition states)

Page 12: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

What would you expect for the diffusion on a stepped surface?

(take into account what you’ve just learnt about transition states)

”Ehrlich-Schwoebel-barrier”

G. Ehrlich, F. G Hudda, J. Chem. Phys. 44 (1966) 1039R. K. Schwoebel, J. Appl. Phys. 40 (1969) 614

Page 13: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Single (nearest neighbour)jumps

Image fromT. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Page 14: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Single (nearest neighbour)jumps Long jumps

Image fromT. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Page 15: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Single (nearest neighbour)jumps Long jumps

Depends on the energy dissipation rateand the temperature!

Image fromT. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Page 16: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Exchange diffusion on a fcc(100) metal surface. A. Groß, Theoretical Surface Science, Springer-Verlag.

Another mechanism for diffusion: Exchange diffusion

Initial state Transition state Final state

Page 17: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

A different view on downward diffusion at steps

Image fromT. Ala-Nissila, R. Ferrando, S. C. YingAdv. Phys. 51 (2002) 949

Page 18: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

T.R. Linderoth et al.Phys. Rev. Lett. 82 (1999) 1494Aarhus Universitet

Island diffusion on Pt(110) (2x1)

Page 19: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

T.R. Linderoth et al.Phys. Rev. Lett. 82 (1999) 1494Aarhus Universitet

Island diffusion on Pt(110) (2x1)

Page 20: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Single-particle diffusion coefficient and chemical diffusion coefficient

Page 21: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Experimental techniques for studying surface diffusion

Local probe techniques

Field ion microscopy

Image fromA. Zangwill, Physics at Surfaces. Cambridge University PressOriginally from G. Ehrlich,CRC Crit. Rev. Sol. State Mat. Sci. 10 (1982) 391

Scanning tunnelling microscopy

M. Schunack et al., University of AarhusMore STM movies on http://www.ifa.au.dk/spm

Page 22: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Laser-induced thermal desorption

Integrating methods

Experimental techniques for studying surface diffusion

Page 23: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Integrating methods

Experimental techniques for studying surface diffusion

Graphs from A.P. Graham, A. Menzel, J.P. Toennies, J. Chem. Phys. 111 (1999) 1676

Quasielastic helium scattering

Page 24: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Photoelectron emission microscopy

Integrating methods

Experimental techniques for studying surface diffusion

O/Pt(110)50 m x 190 m

Time between images: 120 s

[1-10]

A. von Oertzen, H. H. Rotermund, S. Nettesheim, Surf. Sci. 311 (1994) 322

Page 25: Diffusion on surfaces Surface Science Course 2006 Achim Schnadt TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet.

Want to know more?

Theory review (easy to read!):

T. Ala-Nissila, R. Ferrando, S. C. Ying, Adv. Phys. 51 (2002) 949

Experiment review (plus some theory):

J. V. Barth, Surf. Sci. Rep. 40 (2000) 75