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Phase Reeationships for Adsoreed Layers on Surfaces

Published online by Cambridge University Press:  15 February 2011

T.-M. Lu
Affiliation:
Center for Integrated Electronics, Department of Physics, Rensselaer Polytechnic Institute, Troy, NY 12181
M. G. Lagally
Affiliation:
Department of Metallurgical and Mineral Engineering and Materials Science Center, University of Wisconsin - Madison, Madison, Wisconsin 53706
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Abstract

Ordering phenomena of adsorbed atoms that are commensurate with the substrate structure can be described by a two-dimensional lattice gas. The major features of temperature-coverage phase diagrams for commensurate overlayers are reviewed and illustrated with several experimental examples. For overlayers with net attractive interactions, a two-phase region consisting of ordered overlayer and nearly empty substrate surface forms at low coverage. Substrate extended defects such as steps can create diffusion barriers, thus forming thermodynamic subsystems by eliminating communication between adsorbed atoms on either side of the steps. Steps can also prevent the growth of a reconstructed layer. Experimental examples are presented.

Type
Research Article
Copyright
Copyright © Materials Research Society 1983

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References

RFERENCES

1. Sinha, S.K. (ed.), Ordering in Two Dimensions, Elsevier, North Holland, New York, (1980).Google Scholar
2. Dash, J.G. and Ruvalds, J. (eds.), Phase Transitions in Surface Films, Plenum Press, 1980.Google Scholar
3. Grimley, T.B., in The Chemical Physics of Solid Surfaces and Heterogeneous Catalysis, King, D.A. and Woxodruff, D.P. (eds.), Vol. 2, Elsevier, Amsterdam, 1981.Google Scholar
4. Einstein, T.L., in Chemistry and Physics of Solid Surfaces, Vanselow, R. (ed.), Vol. II, CRC Press, Boca Baton, Florida, 1979, P. 181.Google Scholar
5. Lagally, M.G., Wang, G.-C., and Lu, T.-M., in Chemistry and Physics of Solid Surfaces, Vanselow, R. (ed.), Vol. II, CRC Press, Boca Baton, Florida, 1979, P. 153;Google Scholar
5a Woodruff, D.P., Wang, G.-C., and Lu, T.-M., in The Chemical Physics of Solid Surfaces and Heterogeneous Catalysis, ed. King, D.A. and Woodruff, D.P., Elsevier, North Holland, Amsterdam (1982), in press.Google Scholar
6. Bauer, E., in Phase Transitions in Surface Films, Dash, J.G. and Ruvalds, J. (eds.), Plenum Press, 1980, P. 267.CrossRefGoogle Scholar
7. Estrup, P.J., Physics Today, April 1975; L.D. Roelofs and P.J. Estrup, The International Symposium on the Statistical Mechanics of Adsorption, Trieste, Italy (1982), to be published in Surface Sci..Google Scholar
8. Lu, T.-M., Wang, G.-C., and Lagally, M.G., Surface Sci. 92, 133 (1980).Google Scholar
S. Lagally, M.G., Lu, T.-M., and Welkie, D.G., J. Vac. Sci. Technol. 17, 223(1980).Google Scholar
10. Onsager, L., Phys. Pev. 65, 117 (1944);Google Scholar
10a Lee, T.D. and Yang, C.N., Phys. Rev. 87, 404, 410 (1952).Google Scholar
1l. Binder, K. and Landau, D.P., Surface Sci. 108, 503 (1981).Google Scholar
12. Kingel, W., Selke, W., and Binder, K., Surface Sci. 121, 13 (1982);Google Scholar
12a Binder, K., Kinzel, W., and Landau, D.P., Proc. of ECOSS IV, Muenster (1981). To be published in Surface Sci.;Google Scholar
12b Binder, K. and Landau, D.P., Surface Sci. 108, 503 (1981).Google Scholar
13. Roelofs, L.D., in Springer Series in Chemical Physics, eds. Vanselow, R. and Howe, R., Vol. XX, Springer, Berlin, (1982);Google Scholar
13a Roelofs, L.D., Kortan, A.R., Einstein, T.L., and Park, R.L., J. Vac. Sci. Technol. 18, 492 (1981).Google Scholar
14. Ching, W.-Y., Huber, D.L., Lagally, M.G., and Wang, G.-C., Surface Sci. 77, 550 (1978).CrossRefGoogle Scholar
15. Williams, E.D., Cunningham, S.L., and Weinberg, W.H., J. Chem. Phys. 68, 4688 (1978).CrossRefGoogle Scholar
16. Berker, A.N., in ref. 1, P. 9; Kinzel, W., Schick, M. and Berker, A.N., in the same ref., P. 381.Google Scholar
17. Derrida, B., DeSeze, L. and Vanmimenus, J., in Lecture Notes in Physics, 149, Springer, Berlin (1981) P. 46.Google Scholar
18. Blanchet, G.B., Estrup, P.J., and Stiles, P.J., J. Vac. Sci. Technol. 18, 502 (1981).CrossRefGoogle Scholar
19. Wang, G.-C., Lu, T.-M., and Lagally, M.G., J. Chem. Phys. 69, 479 (1978).Google Scholar
20. Kortan, A.R. and Park, R.L., Phys. Rev. B 23, 6340 (1981).Google Scholar
21 Behm, R.J., Christmann, K., and Ertl, G., Surface Sci. 99, 320 (1980).Google Scholar
22 Behm, R.J., Christmann, K. and Ertl, G., Solid State Commun. 25, 763 (1978);CrossRefGoogle Scholar
Christmann, K., Behm, R.J., Ertl, G., Van Hove, M.A., and Weinberg, W.H., J. Chem. Phys. 70, 4168 (1979).Google Scholar
23 Imbihl, R., Behm, R.J., Christmann, K., Ertl, G., and Matsushima, T., Surface Sci. 117, 257 (1982).Google Scholar
24 Lu, T.–M., Wang, G.–C., and Lagally, M.G., Phys. Rev. Lett. 39, 411 (1977).Google Scholar
25 Lagally, M.G., Lu, T.–M., and Wang, G.–C., in ref. 1, P. 113.Google Scholar
26 Berker, A.N., Ostlund, S., and Putnum, F.A., Phys. Rev. B 17, 3650 (1978);Google Scholar
Ostlund, S. and Berker, A.N., Phys. Rev. B 21, 5410 (1980);Google Scholar
Berker, A.N., in ref. 1, P. 9.Google Scholar
27 Wang, G.–C. and Lagally, M.G., Surface Sci. 81, 69 (1979).CrossRefGoogle Scholar
28 Ehrlich, G. and Hudda, F.G., J. Chem. Phys. 44, 1039 (1966).Google Scholar
29 Wang, S.–C. and Tsong, T.T., Surface Sci. 121, 85 (1982).Google Scholar
30 Thompson, M.D. and Huntington, H.B., Surface Sci. 116, 522 (1982).Google Scholar
31 Barker, R.A. and Estrup, P.J., J. Chem. Phys. 74, 1442 (1981).Google Scholar
32 King, D.A. and Thomas, G., Surface Sci. 92, 201 (1980).Google Scholar
33 Felter, T.E., Barker, R.A., and Estrup, P.J., Phys. Rev. Lett. 38, 1138 (1977).CrossRefGoogle Scholar
34 Debe, M.K. and King, D.A., J. Phys. C10, L303 (1977).Google Scholar
35 Debe, M.K. and King, D.A., Phys. Rev. Lett. 39, 708 (1977).Google Scholar
36 Barker, R.A. and Estrup, P.J., J. Chem. Phys. 74, 1442 (1981).Google Scholar
37 Wang, G.–C. and Lu, T.–M., Surface Sci. Lett., to be published.Google Scholar
38 Lifshitz, M., Eksp., Zh. Teor. Fiz. 42, 1354 (1962)Google Scholar
38a [Sov. Phys. JETP 15, 939 (1962)].Google Scholar
39 Allen, S.M. and Cahn, J.W., Acta Metall. 27, 1085 (1979).CrossRefGoogle Scholar
40 Safran, S.A., Phys. Rev. Lett. 46, 1581 (1981).Google Scholar
41 Safran, S.A., Sahni, P.S., and Grest, G.S., Phys. Rev. B26, (1982).Google Scholar
42 Sahni, P.S. and Gunton, J.D., Phys. Rev. Lett. 45, 369 (1980).Google Scholar
43 Sahni, P.S., Dee, G., Gunton, J.D., Phani, M., Lebowitz, J.L., and Kalos, M., Phys. Rev. B 24, 410 (1981).Google Scholar
44 Sahni, P.S. and Gunton, J.D., Phys. Rev. Lett. 47, 1754 (1981).Google Scholar