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Stochastic methods in structural dynamics by Gerhart I Schuëller; Masanobu Shinozuka

By Gerhart I Schuëller; Masanobu Shinozuka

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Schottky disorder The Schottky disorder is the simultaneous presence of vacancies of each chemical species VA and VB , the vacancies being in stoichiometric proportions to keep this relationship constant between the atoms. These vacancies can be formed under the action of temperature, by transfer of atoms of A and B from normal sites in the bulk of the crystal to normal sites located at the surface of the crystal. 1, the consequence is the creation of a Schottky disorder, which is accompanied by an increase in sizes of the crystal.

This system must provide three types of information about an element: – the chemical element involved; – the occupied site of the lattice (in reference to the ideal solid); – the effective charge (or the real charge). The effective charge is chosen rather than the real one, because it is null for all the normal elements. The International Union of Pure and Applied Chemistry (IUPAC) recommended the use of the notation of Kröger [KRO 73]. 5 present the whole of this notation, for the various types of structure elements, applied to the example of alumina (fictitious so that it gathers all the cases).

4b). 4. 5. Marking of an interface with a gold film Instead of platinum wire, a metal evaporation of an inert thin film (for example gold) on part of the surface of A can be used. 5 [PER 93], the marker between the layers of barium carbonate and barium aluminate during the formation of the latter by reaction of the first compound with alumina and representing an outward development of aluminate. 2. The cavity method This method is based on the direct examination of the heart of the initial solid.

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