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@ARTICLE{Giesen:39891,
author = {Giesen, M. and Steimer, C. and Ibach, H.},
title = {{W}hat does one learn from equilibrium shapes of
two-dimensional islands on surfaces?},
journal = {Surface science},
volume = {471},
issn = {0039-6028},
address = {Amsterdam},
publisher = {Elsevier},
reportid = {PreJuSER-39891},
pages = {80 - 100},
year = {2001},
note = {Record converted from VDB: 12.11.2012},
abstract = {The equilibrium shape of islands has been determined with
high accuracy as a function of temperature for Cu(1 0 0),
Cu(1 1 1)and Ag(1 1 1)surfaces. The equilibrium shape is
analyzed using the inverse Wulff-construction, the
Ising-model, and two novel methods concerning the minimum
curvature and the aspect ratio of islands. From the
conventional inverse Wulff-construction, the angle
dependence of the step free energy is obtained. On Cu(1 1 1)
and Ag( 1 1 1), the energies of A- and B-type steps differ
only by about $1\%.$ The analysis of the data using the
analytical form of the equilibrium shape provided by the
Ising-model yields quite acceptable values for the kink
energy on (1 I I)surfaces, but not on the (1 0 0)-surface.
It is shown that the reason for the failure is due to the
different ratio of kink and step energies assumed in the
Ising-model for the two surfaces. By combining well-known
relations on the statistical mechanics of steps and islands,
a simple relation between the kink energy and the minimum
curvature of the equilibrium shape is derived and the
experimental data are analyzed accordingly for the kink
energies on all surfaces. On the Cu(1 0 0)-surface, the kink
energy compares well with an earlier independent
experimental result. The temperature dependence of the free
energy of the $100\%$ kinked step in (1 0 0)- and (1 1
1)-islands is calculated theoretically using general
principles. The theory is used to determine the absolute
values of the step energies from the experimental data. (C)
2001 Elsevier Science B.V. All rights reserved.},
keywords = {J (WoSType)},
cin = {ISG-3},
ddc = {540},
cid = {I:(DE-Juel1)VDB43},
pnm = {Struktur und Dynamik von Grenzflächen},
pid = {G:(DE-Juel1)FUEK60},
shelfmark = {Chemistry, Physical / Physics, Condensed Matter},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000166709700010},
doi = {10.1016/S0039-6028(00)00888-8},
url = {https://juser.fz-juelich.de/record/39891},
}