Abstract
In the present chapter we will discuss the creation of surface supported metal clusters through nucleation and growth in Molecular Beam Epitaxy (MBE). MBE is commonly used to grow thin epitaxial films from the vapour phase onto single crystal substrates under ultra-high vacuum (UHV) conditions [1]. In thin film growth the nucleation of stable clusters is the preliminary step to the immobilisation and further condensation of film atoms or molecules. If one is close to thermodynamic equilibrium it is irrelevant how and where this nucleation takes place and the film topography is given by the balance of the free energies of film surface, substrate surface, and the interface between the two [2]. However, the prerequisite to the growth is to be away from thermodynamic equilibrium, at least to some extent, since detailed balance arguments require that in equilibrium all processes appear with equal rates, including condensation and desorption. Therefore, the entire growth system hardly adopts equilibrium and is thus in a state always influenced to a certain extent by kinetics. The history of when and where the film atoms were added begins to matter and the film morphology is determined by the microscopic pathway taken by the system. This pathway comprises the interplay of only a few elementary processes, such as terrace diffusion of single adatoms, cluster formation and diffusion, as well as aggregation and interlayer diffusion. All diffusion events take place on a time scale set by the coverage divided by the deposition flux.
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References
Growth and Properties of Ultrathin Epitaxial Layers, Vol. 8 of The Chemical Physics of Solid Surfaces and Heterogeneous Catalysis, edited by D. A. King and D. P. Woodruff (Elsevier Science, Amsterdam, 1997).
E. Bauer, Z. Kristallographie 110, 372 (1958).
M. J. Stowell, Phil. Mag. 26, 349 (1972).
J. A. Venables, Philos. Mag. 17, 697 (1973).
B. Lewis and J. C. Anderson, Nucleation and Growth of Thin Films (Academic Press, New York, San Francisco, London, 1978).
G. Ehrlich, Surf. Sci. 246, 1 (1991).
G. Ehrlich, Appl. Phys. A 55, 403 (1992).
G. L. Kellogg, Surf. Sci. Rep. 21, 1 (1994).
T. T. Tsong, Atom-probe field ion microscopy (Cambridge University Press, New York, 1990).
H. Brune, Surf. Sci. Rep. 31, 121 (1998).
M. C. Bartelt, M. C. Tringides, and J. W. Evans, Phys. Rev. B 47, 13891 (1993).
J. G. Amar and F. Family, Phys. Rev. Lett. 74, 2066 (1995).
M. C. Bartelt and J. W. Evans, Phys. Rev. B 54, R17359 (1996).
P. A. Mulheran and J. A. Blackman, Phys. Rev. B 53, 10261 (1996).
S. C. Wang and G. Ehrlich, J. Chem. Phys. 94, 4071 (1991).
A. Hitzke, M. B. Hugenschmidt, and R. J. Behm, Surf. Sci. 389, 8 (1997).
S. Günther, A. Hitzke, and R. J. Behm, Surf. Rev. and Lett. 4, 1103 (1997).
H. Brune, G. S. Bales, C. Boragno, J. Jacobsen, and K. Kern, Phys. Rev. B 60, 5991 (1999).
H. Brune, J. Wintterlin, R. J. Behm, and G. Ertl, Phys. Rev. Lett. 68, 624 (1992).
J. Wintterlin, R. Schuster, and G. Ertl, Phys. Rev. Lett. 77, 123 (1996).
G. Vandoni, C. Félix, R. Monot, J. Buttet, and W. Harbich, Surf. Sci. 320, L63 (1994).
S. C. Wang and G. Ehrlich, Phys. Rev. Lett. 70, 41 (1993).
S. C. Wang and G. Ehrlich, Phys. Rev. Lett. 71, 4174 (1993).
G. L. Kellogg, Phys. Rev. Lett. 76, 98 (1996).
A. F. Voter and J. D. Doll, J. Chem. Phys. 80, 5832 (1984).
R. Gomer, Rep. Prog. Phys. 53, 917 (1990).
G. Ehrlich and F. Watanabe, Langmuir 7, 2555 (1991).
F. Watanabe and G. Ehrlich, J. Chem. Phys. 96, 3191 (1992).
T. A. Witten and L. M. Sander, Phys. Rev. Lett. 47, 1400 (1981).
P. Meakin, in Phase Tansitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1988), Vol. 12, p. 335.
A. L. Barabási and H. E. Stanley, Fractal concepts in surface growth (Cambridge University Press, New York, 1995).
G. Ehrlich and F. G. Hudda, J. Chem. Phys. 44, 1039 (1966).
R. L. Schwoebel and E. J. Shipsey, J. Appl. Phys. 37, 3682 (1966).
R. Stumpf and M. Scheffler, Phys. Rev. Lett. 72, 254 (1994).
B. D. Yu and M. Scheffler, Phys. Rev. Lett. 77, 1095 (1996).
P. J. Feibelman, Phys. Rev. Lett. 81, 168 (1998).
G. Ehrlich, Surf. Sci. 331-333, 865 (1995).
J. A. Meyer, J. Vrijmoeth, H. A. van der Vegt, E. Vlieg, and R. J. Behm, Phys. Rev. B 51, 14790 (1995).
P. Smilauer and S. Harris, Phys. Rev. B 51, 14798 (1995).
K. Bromann, H. Brune, H. Röder, and K. Kern, Phys. Rev. Lett. 75, 677 (1995).
K. Morgenstern, G. Rosenfeld, E. Lægsgaard, F. Besenbacher, and G. Comsa, Phys. Rev. Lett. 80, 556 (1998).
I. Markov, Phys. Rev. B 56, 12544 (1997).
K. R. Roos, R. Bhutani, and M. C. Tringides, Surf. Sci. 384, 62 (1997).
C. M. Zhang, M. C. Bartelt, J. M. Wen, C. J. Jenks, J. W. Evans, and P. A. Thiel, J. Cryst. Growth 174, 851 (1997).
J. Alvarez, E. Lundgren, X. Torrelles, and S. Ferrer, Phys. Rev. B 57, 6325 (1998).
J. A. Venables, Phys. Rev. B 36, 4153 (1987).
S. Liu, L. Bönig, and H. Metiu, Phys. Rev. B 52, 2907 (1995).
M. C. Bartelt, S. Günther, E. Kopatzki, R. J. Behm, and J. W. Evans, Phys. Rev. B 53, 4099 (1996).
H. Brune, H. Röder, C. Boragno, and K. Kern, Phys. Rev. Lett. 73, 1955 (1994).
J. A. Venables, G. D. T. Spiller, and M. Hanbücken, Rep. Prog. Phys. 47, 399 (1984).
Y. W. Mo, J. Kleiner, M. B. Webb, and M. G. Lagally, Phys. Rev. Lett. 66, 1998 (1991).
J. A. Stroscio, D. T. Pierce, and R. A. Dragoset, Phys. Rev. Lett. 70, 3615 (1993).
M. Bott, M. Hohage, M. Morgenstern, T. Michely, and G. Comsa, Phys. Rev. Lett. 76, 1304 (1996).
B. Müller, B. Fischer, L. Nedelmann, H. Brune, and K. Kern, Phys. Rev. B 54, 17858 (1996).
G. S. Bales and D. C. Chrzan, Phys. Rev. B 50, 6057 (1994).
H. Brune et al., Phys. Rev. B 52, R14380 (1995).
C. Ratsch and M. Scheffler, Phys. Rev. B 58, 13163 (1998).
B. Fischer, H. Brune, A. Fricke, J. V. Barth, and K. Kern, Phys. Rev. Lett. 82, 1732 (1999).
J. V. Barth, H. Brune, B. Fischer, J. Weckesser, and K. Kern, Phys. Rev. Lett, in press (1999).
T. B. Grimley, Proc. Phys. Soc. 90, 751 (1967).
M. C. Bartelt and J. W. Evans, Phys. Rev. B 46, 12675 (1992).
L. H. Tang, J. Phys. (Paris) 13, 935 (1993).
C. Ratsch, A. Zangwill, P. Smilauer, and D. D. Vvedensky, Phys. Rev. Lett. 72, 3194 (1994).
J. A. Stroscio and D. T. Pierce, Phys. Rev. B 49, 8522 (1994).
T. Vicsek, Fractal Growth Phenomena (World Scientific, Signapore, 1989).
H. Takayasu, Fractals in the physical sciences (Manchester University Press, Manchester, New York, 1990).
Y. Purukawa, Chemie in unserer Zeit 2, 58 (1997).
R. Q. Hwang, J. Schröder, C. Günther, and R. J. Behm, Phys. Rev. Lett. 67, 3279 (1991).
H. Röder, E. Hahn, H. Brune, J. P. Bucher, and K. Kern, Nature 366, 141 (1993).
H. Brune, C. Romainczyk, H. Röder, and K. Kern, Nature 369, 469 (1994).
T. Michely, M. Hohage, M. Bott, and G. Comsa, Phys. Rev. Lett. 70, 3943 (1993).
H. Brune et al., Surf. Sci. 349, L115 (1996).
Y. Couder, N. Gérard, and M. Rabaud, Phys. Rev. A 34, 5175 (1986).
A. Pimpinelli, J. Villain, and D. E. Wolf, J. Phys. (Paris) 3, 447 (1993).
M. C. Bartelt and J. W. Evans, Surf. Sci. 314, L829 (1994).
G. S. Bales and D. C. Chrzan, Phys. Rev. Lett. 74, 4879 (1995).
H. Röder, K. Bromann, H. Brune, and K. Kern, Phys. Rev. Lett. 74, 3217 (1995).
M. Hohage, M. Bott, M. Morgenstern, Z. Zhang, T. Michely, and G. Comsa, Phys. Rev. Lett. 76, 2366 (1996).
F. B. de Mongeot, M. Scherer, B. Gleich, E. Kopatzki, and R. J. Behm, Surf. Sci. 411, 249 (1998).
P. Stoltze, J. Phys. Condens. Matter 6, 9495 (1994).
P. Ruggerone, C. Ratsch, and M. Scheffler, in Growth and Properties of Ultrathin Epitaxial Layers, edited by D. A. King and D. P. Woodruff (Elsevier Science, Amsterdam, 1997), Vol. 8, p. 490.
C. L. Liu, Surf. Sci. 316, 294 (1994).
D. D. Chambliss and K. E. Johnson, Phys. Rev. B 50, 5012 (1994).
J. A. Stroscio, D. T. Pierce, and R. A. Dragoset, Phys. Rev. Lett. 70, 3615 (1993).
E. Kopatzki, S. Günther, W. Nichtl-Pecher, and R. J. Behm, Surf. Sci. 284, 154 (1993).
E. Hahn, E. Kampshoff, N. Wälchli, and K. Kern, Phys. Rev. Lett. 74, 1803 (1995).
J. M. Wen, J. W. Evans, M. C. Bartelt, J. W. Burnett, and P. A. Thiel, Phys. Rev. Lett. 76, 652 (1996).
Z. Zhang, X. Chen, and M. G. Lagally, Phys. Rev. Lett. 73, 1829 (1994).
B. Müller, L. Nedelmann, B. Fischer, H. Brune, J. V. Barth, and K. Kern, Phys. Rev. Lett. 80, 2642 (1998).
J. K. Norskov, K. W. Jacobsen, P. Stoltze, and L. B. Hansen, Surf. Sci. 283, 277 (1993).
P. Feibelman, Phys. Rev. B 60, 4972 (1999).
C. Günther et al., Ber. Bunsenges. Phys. Chem. 97, 522 (1993).
K. Bromann, H. Brune, M. Giovannini, and K. Kern, Surf. Sci. 388, L1107 (1997).
K. Bromann, H. Brune, and K. Kern, unpublished results (1997).
M. C. Bartelt and J. W. Evans, Surf. Sci. 314, L829 (1994).
A. Bogicevic, S. Liu, J. Jacobsen, B. I. Lundquist, and H. I. Metiu, Phys. Rev. B 57, R9459 (1998).
R. Stumpf and M. Scheffler, Phys. Rev. B 53, 4958 (1996).
A. Bogicevic, J. Strömquist, and B. I. Lundquist, Phys. Rev. Lett. 81, 637 (1998).
R. Q. Hwang, C. Günther, J. Schröder, S. Günther, E. Kopatzki, and R. J. Behm, J. Vac. Sci. Technol. A 10, 1970 (1992).
J. Vrijmoeth, C. Günther, J. Schröder, R. Q. Hwang, and R. J. Behm, in Magnetism and Structure in Systems of Reduced Dimension, edited by R. F. C. Farrow (Plenum Press, New York, 1993), p. 55.
C. Boragno, H. Röder, H. Brune, and K. Kern, to be published (1999).
B. Voigtländer, G. Meyer, and N. M. Amer, Surf. Sci. 255, L529 (1991).
J. A. Stroscio, D. T. Pierce, R. A. Dragoset, and P. N. First, J. Vac. Sci. Technol. A 10, 1981 (1992).
T. Michely and G. Comsa, Surf. Sci. 256, 217 (1991).
T. Michely, M. Hohage, M. Bott, and G. Comsa, Phys. Rev. Lett. 70, 3943 (1993).
M. Kalff, G. Comsa, and T. Michely, Phys. Rev. Lett. 81, 1255 (1998).
S. Liu, Z. Zhang, G. Comsa, and H. Metiu, Phys. Rev. Lett. 71, 2967 (1993).
J. Jacobsen, K. W. Jacobsen, and J. K. Nørskov, Surf. Sci. 359, 37 (1996).
C. Ratsch, P. Ruggerone, and M. Scheffler, in Surface Diffusion: Atomistic and Collective Processes, edited by M. C. Tringides (Plenum Press, New York, 1997), Vol. 360, p. 83.
S. Ovesson, A. Bogicevic, and B. L. Lundqvist, Phys. Rev. Lett. 83, 2608 (1999).
M. Kalff, Ph.D. thesis, Forschungszentrum Jülich, 1999.
S. Horch et al., Nature 398, 134 (1999).
F. Besenbacher, personal communication (1999).
Physics and Chemistry of Finite Systems: From Clusters to Crystals, edited by P. Jena, S. N. Khanna, and B. K. Rao (Kluwer, Dordrecht, 1992).
W. Ostwald, Z. Phys. Chem. (Leipzig) 34, 495 (1900).
C. Wagner, Z. Elektrochem. 65, 581 (1961).
L. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).
K. Morgenstern, G. Rosenfeld, and G. Comsa, Phys. Rev. Lett. 76, 2113 (1996).
W. Theis, N. C. Bartelt, and R. M. Tromp, Phys. Rev. Lett. 75, 3328 (1995).
P. Blandin, C. Massobrio, and P. Ballone, Phys. Rev. Lett. 72, 3072 (1994).
H. Röder, H. Brune, and K. Kern, Phys. Rev. Lett. 73, 2143 (1994).
P. M. Petroff, A. C. Gossard, and W. Wiegmann, Appl. Phys. Lett. 45, 620 (1984).
Y. W. Mo and F. J. Himpsel, Phys. Rev. B 50, 7868 (1994).
J. Shen, R. Skomski, M. Klaua, H. Jenniches, S. S. Manoharan, and J. Kirschner, Phys. Rev. B 56, 2340 (1997).
V. Marsico, M. Blanc, K. Kuhnke, and K. Kern, Phys. Rev. Lett. 78, 94 (1997).
M. Blanc, K. Kuhnke, V. Marsico, and K. Kern, Surf. Sci.414, L964 (1998).
P. Gambardella, M. Blanc, H. Brune, K. Kuhnke, and K. Kern, Phys. Rev. B in press (1999).
M. A. v. Hove et al., Surf. Sci. 103, 189 (1981).
V. Fiorentini, M. Methfessel, and M. Scheffler, Phys. Rev. Lett. 71, 1051 (1993).
S. Günther, E. Kopatzki, M. C. Bartelt, J. W. Evans, and R. J. Behm, Phys. Rev. Lett. 73, 553 (1994).
L. Bönig, S. Liu, and H. Metiu, Surf. Sci. 365, 87 (1996).
T. R. Linderoth, J. J. Mortensen, K. W. Jacobsen, E. Lægsgaard, I. Stensgaard, and F. Besenbacher, Phys. Rev. Lett. 77, 87 (1996).
J. J. Mortensen, T. R. Linderoth, K. W. Jacobsen, E. Lægsgaard, I. Stensgaard, and F. Besenbacher, Surf. Sci. 400, 290 (1997).
T. R. Linderoth, S. Horch, E. Lægsgaard, I. Stensgaard, and F. Besenbacher, Phys. Rev. Lett. 78, 4978 (1997).
F. Montalenti and R. Ferrando, Phys. Rev. B 58, 3617 (1998).
M. B. Hugenschmidt, M. Ruff, A. Hitzke, and R. J. Behm, Surf. Sci. 388, L1100 (1997).
J. P. Bucher, E. Hahn, P. Fernandez, C. Massobrio, and K. Kern, Europhys. Lett. 27, 473 (1994).
N. Waelchli, Ph.D. thesis, Ecole Polytechnique Fédérale de Lausanne, 1997.
J. V. Barth, personal communication (1999).
Y. Li et al., Phys. Rev. B 56, 12539 (1997).
R. Ferrando, F. Hontinfinde, and A. C. Levi, Phys. Rev. B 56, R4406 (1997).
C. Mottet, R. Ferrando, F. Hontinfinde, and A. C. Levi, Surf. Sci. 417, 220 (1998).
C. Pearson, M. Krueger, and E. Ganz, Phys. Rev. Lett. 76, 2306 (1996).
H. Brune, H. Röder, C. Boragno, and K. Kern, Phys. Rev. B 49, 2997 (1994).
C. Günther, J. Vrijmoeth, R. Q. Hwang, and R. J. Behm, Phys. Rev. Lett. 74, 754 (1995).
H. Brune and K. Kern, in Growth and Properties of Ultrathin Epitaxial Layers, edited by D. A. King and D. P. Woodruff (Elsevier Science, Amsterdam, 1997), Vol. 8, p. 149.
J. A. Meyer, P. Schmid, and R. J. Behm, Phys. Rev. Lett. 74, 3864 (1995).
T. Michely, M. Hohage, S. Esch, and G. Comsa, Surf. Sci. 349, L89 (1996).
H. Brune, M. Giovannini, K. Bromann, and K. Kern, Nature 394, 451 (1998).
J. V. Barth, H. Brune, G. Ertl, and R. J. Behm, Phys. Rev. B 42, 9307 (1990).
D. D. Chambliss, R. J. Wilson, and S. Chiang, Phys. Rev. Lett. 66, 1721 (1991).
J. A. Meyer, J. D. Baikie, E. Kopatzki, and R. J. Behm, Surf. Sci. 365, L647 (1996).
B. Voigtländer, G. Meyer, and N. M. Amer, Phys. Rev. B 44, 10354 (1991).
S. Padovani, P. Molinás-Mata, F. Scheurer, and J. P. Bucher, Appl. Phys. A 66, S1199 (1998).
E. I. Altman and R. J. Colton, Surf. Sci. 304, L400 (1994).
D. D. Chambliss and R. J. Wilson, J. Vac. Sci. Technol. B 9, 928 (1991).
M. A. Krzyzowski, Ph.D. thesis, Universität Bonn, 1995.
B. Fischer, J. V. Barth, A. Fricke, L. Nedelmann, and K. Kern, Surf. Sci. 389, 366 (1997).
C. Ratsch, A. P. Seitsonen, and M. Schemer, Phys. Rev. B 55, 6750 (1997).
S. Fafard, R. Leon, D. Leonard, J. L. Merz, and P. M. Petroff, Phys. Rev. B 52, 5752 (1995).
M. H. von Hoegen, A. A. Falou, H. Pietsch, B. H. Müller, and M. Henzler, Surf. Sci. 298, 29 (1993).
B. Holst, M. Hohlen, K. Wandelt, and W. Allison, Surf. Sci. 377-379, 891 (1997).
M. 0. Pedersen et al., Surf. Sci. 387, 86 (1997).
T. Wiederholt, H. Brune, J. Wintterlin, R. J. Behm, and G. Ertl, Surf. Sci. 324, 91 (1994).
P. Besenbacher, L. P. Nielsen, and P. T. Sprunger, in Growth and Properties of Ultrathin Epitaxial Layers, edited by D. A. King and D. P. Woodruff (Elsevier, Amsterdam, 1997), Vol. 8, p. 207.
M. Böhringer, Q. Jiang, R. Berndt, W. D. Schneider, and J. Zegenhagen, Surf. Sci. 367, 245 (1996).
C. R. Henry, Surf. Sci. Rep. 31, 231 (1998).
S. K. Purnell, X. Xu, D. W. Goodman, and B. C. Gates, J. Phys. Chem. 98, 4076 (1994).
M. Valden, J. Aaltonene, E. Kuuisto, M. Pessaand, and C. J. Barnes, Surf. Sci. 307-309, 193 (1994).
H. Poppa, Catal. Rev. Sci. Eng. 35, 359 (1993).
R. J. Lad, Surf. Rev. Lett. 2, 109 (1995).
C. T. Champbell, Surf. Sci. Rep. 27, 1 (1997).
C. Henry, C. Chapon, S. Giorgio, and C. Goyhenex, in Chemisorption, Reactivity of Clusters, Thin Films, edited by R. M. Lambert and G. Pacchioni (Kluwer, Dordrecht, 1997), p. 117.
G. Haas, A. Menck, H. Brune, J. V. Barth, J. A. Venables, and K. Kern, Phys. Rev. B submitted for publication (1999).
A. M. Ferrari and G. Pacchioni, J. Phys. Chem. 100, 9032 (1996).
E. Perrot, Ph.D. thesis, Université de Marseille, 1996.
J. Bosbach, D. Martin, F. Stietz, T. Wenzel, and F. Träger, Appl. Phys. Lett. 74, 2605 (1999).
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Brune, H. (2000). Growth of Metal Clusters at Surfaces. In: Metal Clusters at Surfaces. Springer Series in Cluster Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57169-5_3
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