Litcius/Paper detail

Crystallographic–Morphological Connections in Star Shaped Metal–Organic Frameworks

Maria Chiara di Gregorio, Vivek Singh, Linda J. W. Shimon, Michal Lahav, Milko E. van der Boom

2022Journal of the American Chemical Society17 citationsDOIOpen Access PDF

Abstract

The symmetry of a crystal’s morphology usually reflects the symmetry of the crystallographic packing. For single crystals, the space and point groups allow only a limited number of mathematical descriptions of the morphology (forms), all of which are convex polyhedrons. In contrast, concave polyhedrons are a hallmark of twinning and polycrystallinity and are typically inconsistent with single crystallinity. Here we report a new type of structure: a concave polyhedron shape single crystal having a multidomain appearance and a rare space group (P622). Despite these unusual structural features, the hexagonal symmetry is revealed at the morphological levels.

Topics & Concepts

PolyhedronCrystal twinningCrystallographyChemistryRegular polygonHexagonal crystal systemSymmetry (geometry)Space (punctuation)Morphology (biology)Group (periodic table)Symmetry operationPoint groupCrystal (programming language)Crystal structureGeometryMathematicsGeologyOrganic chemistryPhilosophyComputer scienceMicrostructureLinguisticsPaleontologyProgramming languageMetal-Organic Frameworks: Synthesis and ApplicationsX-ray Diffraction in CrystallographyCrystallography and molecular interactions