The cubic limiting complexes of lattice complexes with trigonal characteristic symmetry
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Elke Koch
Abstract
Point configurations with cubic inherent symmetry may be generated within certain trigonal space groups. The corresponding limiting-complex relationships were studied. They are caused by a specialization of the axial ratio c/a and require also special coordinate parameters in most cases.
The limiting complexes were derived with the aid of group-subgroup relationships. The material was checked making use of the occurrence of cubic sphere packings within trigonal space groups. The results are presented in a table referring to all lattice complexes with rhombohedral characteristic space groups (two invariant, five univariant, four bivariant, four trivariant) and to one univariant, one bivariant and one trivariant lattice complex with trigonal characteristic space groups.
© by Oldenbourg Wissenschaftsverlag, München
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Articles in the same Issue
- Symmetries of coincidence site lattices of cubic lattices
- About the degree of hydration in potassiumtrisoxalatochromate hydrate
- Structural variations of Cr-doped (Y,REE)AlO3 perovskites
- Structure change of Mn2O3 under high pressure and pressure-induced transition
- To crystal chemistry of compounds of MHgYX (M = Cu, Ag, Y = S, Se, X = Cl, Br, I)
- The crystal structures of solvent-free alkali-metal squarates from powder diffraction data
- PDF from X-ray powder diffraction for nanometer-scale atomic structure analysis of quasicrystalline alloys
- Cu2MnMIVS4 (MIV = Si, Ge, Sn) — analysis of crystal structures and tetrahedra volumes of normal tetrahedral compounds
- Synthesis and crystal structure of a homotrinuclear Ni(II) complex
- Two new mononuclear Ni(II) complexes with reduced ONNO type Schiff base
- The cubic limiting complexes of lattice complexes with trigonal characteristic symmetry
