Abstract
Abstract The concept of the reference lattice has been thoroughly discussed in physical and in higher-dimensional spaces. Such an approach has been applied to diffraction pattern analysis of different periodic, modulated and other aperiodic structures. It has been shown that two periodicities can be found in diffraction patterns of the above structures, namely the periodicity of the envelope curves describing the diffraction peak intensities, and the periodicity of peak positions ascribed to each envelope curve. The formula for the envelope curve has been given and it depends on the statistical moments of a specially defined real-space variable describing spatial fluctuations in atomic positions. Full equivalence of the presented physical space approach to the higher-dimension analysis of perfect quasicrystals has been shown.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
