Condensed models of structures based on loose packings*
Abstract
The representation of crystalline structures by condensed models is extended to structures based on loose packings, in which close-packed layers of atoms stack together in such a way that every packed atom touches only two atoms of the layer below. For reasons of uniformity and economy the required minimum set of standard sheets is derived in order to build any possible stacking sequence of either triangular (T) or square (Q) layers involving the regular stacking modes—over holes (closest stacking), over the valleys between two atoms (loose stacking), and over the atoms themselves (simple stacking). In the case of T-layers 25 standard sheets are necessary, and for the QQ-layers only 4 standard sheets are needed. Standard sheets are presented corresponding to some examples of T- and Q-layers, and to the (110) and (100) layers of the body-centered cubic packing, which is also considered a loose packing. About 550 inorganic structure types can be represented by this technique using only 15 different standard sheets.
Articles in the same Issue
- 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
Articles in the same Issue
- 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