Types of sphere packings for crystallographic point groups, rod groups and layer groups
Abstract
All conceivable types of sphere packings for subperiodic crystallographic groups have been derived. To achieve this, it was possible to limit study to the characteristic classes of configuration-sets for the point complexes, row complexes and net complexes. The resulting 24 sphere-packing types of point groups, 60 sphere-packing types of rod groups and 75 sphere-packing types of layer groups are listed together with their generating symmetry operations. The sphere packings of point groups and rod groups can be classified uniquely by means of topological symbols. For this, modified Schläfli symbols have been used in the case of point groups. The sphere packings of rod groups can be described uniquely as plane nets rolled up according to a coincidence vector. Almost all sphere packings of layer groups may be assigned to plane nets or double nets, although a unique topological symbolism could not be developed in this case.
Artikel in diesem Heft
- Rules governing the layer organization of inorganic crystal structures *
- Condensed models of structures based on loose packings*
- Crystal data for β naphthyl and some substituted phenyl maleamic acids
- Dipole-dipole van der Waals interaction in alkali halides
- Some properties of alkaline earth chalcides and heavy metal halides
- The crystal structure of dithiobismorpholine (C4H8NOS)2
- Partial information about structures with the aid of convolutions
- The crystal structures of germanate micas, KMg2.5Ge4O10F2 and KLiMg2Ge4O10F2
- Optical microscopic examination of orthorhombic Na2SO4 (III) in relation to its transformation to Na2SO4(I) hexagonal*
- Elastic, thermoelastic, piezoelectric, linear electrooptic, dielectric, and pyroelectric properties of trigonal Ca3(VO4)2 single crystals
- Refinement of the structure of thiourea: A neutron diffraction study at 293 K
- Zur Kristallstruktur von Natriumnitrat
- Types of sphere packings for crystallographic point groups, rod groups and layer groups
- X-ray powder data and crystallographic data of copper-salicylaldehyde-s-methylthiosemicarbazone and copper-8-quinolinealdehyde-s-methyltliiosemicarbazone complexes
- An X-ray study of cadmium bromate dihydrate
- Crystal data for 4-4′-tetramethyl-diamino-azobenzene
- An X-ray study of 2-mercapto benzimidazole
- Crystallographic data for the mesogenic material cholesteryl methyl carbonate
Artikel in diesem Heft
- Rules governing the layer organization of inorganic crystal structures *
- Condensed models of structures based on loose packings*
- Crystal data for β naphthyl and some substituted phenyl maleamic acids
- Dipole-dipole van der Waals interaction in alkali halides
- Some properties of alkaline earth chalcides and heavy metal halides
- The crystal structure of dithiobismorpholine (C4H8NOS)2
- Partial information about structures with the aid of convolutions
- The crystal structures of germanate micas, KMg2.5Ge4O10F2 and KLiMg2Ge4O10F2
- Optical microscopic examination of orthorhombic Na2SO4 (III) in relation to its transformation to Na2SO4(I) hexagonal*
- Elastic, thermoelastic, piezoelectric, linear electrooptic, dielectric, and pyroelectric properties of trigonal Ca3(VO4)2 single crystals
- Refinement of the structure of thiourea: A neutron diffraction study at 293 K
- Zur Kristallstruktur von Natriumnitrat
- Types of sphere packings for crystallographic point groups, rod groups and layer groups
- X-ray powder data and crystallographic data of copper-salicylaldehyde-s-methylthiosemicarbazone and copper-8-quinolinealdehyde-s-methyltliiosemicarbazone complexes
- An X-ray study of cadmium bromate dihydrate
- Crystal data for 4-4′-tetramethyl-diamino-azobenzene
- An X-ray study of 2-mercapto benzimidazole
- Crystallographic data for the mesogenic material cholesteryl methyl carbonate
