Theory of G-approximant crystals with G, a non-crystallographic point group. IReport as inadecuate




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Abstract : The concept of G-approximant crystal, with G, a non-crystallographic point group, is defined and its structure factor is investigated by means of a new object: the virtual G-crystal associated with the G-approximant crystal. The relevant variables in the Taylor series expansion of the Fourier transform of the set of the atomic sites in a unit cell of the G-approximant crystal are: the atomic scattering factor excess, the site multiplicity excess, the overall deformation functions, in real and reciprocal spaces, defined with respect to the virtual G-crystal, and the deviation from an average interaction wave-G-cluster. This allows us to characterize the pseudo-G-invariant character of the structure factor of the G-approximant crystal and to analyze pseudo-inflation rules.





Author: J.-L. Verger-Gaugry

Source: https://hal.archives-ouvertes.fr/



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