The line groups are established as the symmetry groups of modulated crystals. The formula of the structure factor in the Fourier-Bessel synthesis for polymers is extended to modulated crystals. The existence of translational invariance according to line groups is shown for the crystals K,SeO, and MnAu,.Liniengruppen sind die Symmetriegruppen modulierter Kristalle. Die Formel der Strukturamplitude in der Fourier-Bessel-Synthese fur Polymere wird auf modulierte Kristalle erweitert. Die Existenz von Translationsinvarianz nach Liniengruppen wird fur die Kristalle K,SeO, und MnAu, gezeigt.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.