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Crystal Research and Technology |
Cryst. Res. Technol. 38,
831 (2003) - Abstract -
Review: Different types of ordering
J. Hauck and K. Mika
Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany
| Keywords | sphere packing, colloids, Madelung constants, magnetic ordering, phyllotaxis, crystal growth |
| PACS | 61.45.+s, 61.50.cj, 68.65.+g, 74.70.Eh, 75.10.Nr |
| DOI | 10.1002/crat.200310102 |
Homogeneous structures AxBy with identical A–A or B–B self-coordination numbers T1, T2, T3, of nearest, next-nearest and third neighbors are selected. The maximum Ti values are 2 2 2 (1D row), 6 6 6 (2D hexagonal net) and 12 6 24 (3D cubic close-packing). Reduced T1 or T2 values for AxBy can be related with attractive or repulsive A–A (or B–B) interactions. A single set of T1 T2 T3; y/x values was obtained for y/x = 1 – 4 and 6. The y/x = 2 structures of three equivalent positions A, B and C are unfavourable for A = (+) and B = (-) charge or direction of magnetic moments. The spatial distribution of positive and negative potential near A+ and B- positions gives rise to neutral C positions. Frustrated magnetic moments at C positions are disordered.
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