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Diffusion on surfaces. TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet. Surface Science Course 2006 Achim Schnadt. Surface diffusion is important for. ... growth processes. A. Groß, Theoretical Surface Science , Springer-Verlag. ... surface reactions.
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Diffusion on surfaces TR Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet Surface Science Course 2006 Achim Schnadt
Surface diffusion is important for ... ... growth processes A. Groß, Theoretical Surface Science, Springer-Verlag ... surface reactions G. Ertl, Lecture at Nobel Symposium Energy in Cosmos, Molecules and Life, July 2005
Which particles do diffuse on surfaces? Chemisorption, physisorption, and precurors Image from J. V. Barth, Surf. Sci. Rep. 40 (2000) 75
T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949 Tekniska Högskolan, Helsingfors Brown University, Rhode Island Università di Genova
T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949 Tekniska Högskolan, Helsingfors Brown University, Rhode Island Università di Genova
Classical movement Quantum tunnelling T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949 Tekniska Högskolan, Helsingfors Brown University, Rhode Island Università di Genova only for hydrogen!
Some theory ... Following the treatment in A. Groß, Theoretical Surface Science, Springer-Verlag
A. Zangwill, Physics at Surfaces, Cambridge University Press
Initial state – transition state – final state T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949 Single jump diffusion on a fcc(100) metal surface. A. Groß, Theoretical Surface Science, Springer-Verlag.
What would you expect for the diffusion on a stepped surface? (take into account what you’ve just learned about transition states)
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) 1039 R. K. Schwoebel, J. Appl. Phys. 40 (1969) 614
Single (nearest neighbour) jumps Image from T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949
Single (nearest neighbour) jumps Long jumps Image from T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949
Single (nearest neighbour) jumps Long jumps Depends on the energy dissipation rate and the temperature! Image from T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949
Another mechanism for diffusion: Exchange diffusion Transition state Final state Initial state Exchange diffusion on a fcc(100) metal surface. A. Groß, Theoretical Surface Science, Springer-Verlag.
A different view on downward diffusion at steps Image from T. Ala-Nissila, R. Ferrando, S. C. Ying Adv. Phys. 51 (2002) 949
Island diffusion on Pt(110) (2x1) T.R. Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet
Island diffusion on Pt(110) (2x1) T.R. Linderoth et al. Phys. Rev. Lett. 82 (1999) 1494 Aarhus Universitet
Single-particle diffusion coefficient and chemical diffusion coefficient
Experimental techniques for studying surface diffusion Local probe techniques Field ion microscopy Image from A. Zangwill, Physics at Surfaces. Cambridge University Press Originally from G. Ehrlich, CRC Crit. Rev. Sol. State Mat. Sci. 10 (1982) 391 Scanning tunnelling microscopy M. Schunack et al., University of Aarhus More STM movies on http://www.ifa.au.dk/spm
Experimental techniques for studying surface diffusion Integrating methods Laser-induced thermal desorption
Experimental techniques for studying surface diffusion Integrating methods Quasielastic helium scattering Graphs from A.P. Graham, A. Menzel, J.P. Toennies, J. Chem. Phys. 111 (1999) 1676
Experimental techniques for studying surface diffusion Integrating methods Photoelectron emission microscopy [1-10] O/Pt(110) 50 mm x 190 mm Time between images: 120 s A. von Oertzen, H. H. Rotermund, S. Nettesheim, Surf. Sci. 311 (1994) 322
Want to know more? Experiment review (plus some theory): J. V. Barth, Surf. Sci. Rep. 40 (2000) 75 Theory review (easy to read!): T. Ala-Nissila, R. Ferrando, S. C. Ying, Adv. Phys. 51 (2002) 949