Abstract
The authors discuss different structures, built up using two types of Robinson triangle tiling the plane without defects and having diffraction patterns with symmetry forbidden by classical crystallography. A universal behaviour of the diffraction patterns of the different structures allows definition of a similarity parameter which distinguishes 'quasicrystals' (i.e. structures for which the diffraction peak intensities scale as N2) from all other types of structure. It is shown that the similarity parameter depends only on the concentration of small Robinson triangles. The concentration dependence of the similarity parameter exhibits singular behaviour at the Penrose concentration, indicating that a continuous transition takes place from twinned structures to 'quasi-crystals'. The critical exponent for this behaviour was determined to be 0.55+or-0.02.
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.
