This title appears in the Scientific Report : 2003 

Review: Different types of ordering
Hauck, J.
Mika, K.
Weiche Materie; IFF-WM
Theorie III; IFF-TH-III
Crystal research and technology, 38 (2003) S. 831 - 846
Weinheim Wiley-VCH 2003
831 - 846
10.1002/crat.200310102
Journal Article
Kondensierte Materie
Crystal Research and Technology 38
J
Please use the identifier: http://dx.doi.org/10.1002/crat.200310102 in citations.
Homogeneous structures A(x)B(y) with identical A-A or B-B self-coordination numbers T-1, T-2, T-3, of nearest, next-nearest and third neighbors; are selected. The maximum T-1 values are 2 2 2 (1D row), 6 6 6 (2D hexagonal net) and 12 6 24 (3D cubic close-packing). Reduced T-1 or T-2 values for A(x)B(y) can be related with attractive or repulsive A-A (or B-B) interactions. A single set of T-1 T-2 T-3; y/x values 1 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 = circle plus and B = circle minus 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. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.