Connection between Slab and Cluster Models for Crystalline Surfaces
Evarestov R.A.1, Bredow Th.2, Jug K.2
1St. Petersburg State University, Stary Peterhof, St. Petersburg, Russia
2Universitat Hannover, Hannover, Germany
Email: robert@hq.pu.ru
Поступила в редакцию: 25 января 2001 г.
Выставление онлайн: 20 августа 2001 г.
Different models for the theoretical description of bare crystalline surfaces are compared and discussed in terms of stoichiometry and conservation of the point symmetry. While infinite models such as the semi-infinite model or the slab model in general preserve the symmetry of the perfect crystal surface, special care has to be taken when finite cluster models are considered. The connection between molecular cluster choice and surface unit cell of the slab model is demonstrated for metal oxides such as MgO, TiO2, V2O5, and Al2O3, analyzing how atoms of the primitive unit cell of the parent three-dimensional crystal are distributed in different planes of slab and cluster models. General rules for the construction of finite cluster models based on stoichiometry and symmetry considerations are given and illustrated with calculations on water adsorption at rutile (110).
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