Characteristic Lattice Complexes

2D and 3D lattice complexes with increased self-coordination numbers T-i, i = 1 - 3, of nearest, second and third neighbors were derived for characteristic Wyckoff sets with zero or one parameters. Structure types of adsorbed atoms in 2D or elements A in 3D and A.,E, compounds are approximated to the list of lattice complexes. Covalent bonding or electronic effects of atoms like lone electron pairs or Jahn-Teller distortion give rise to deviations from lattice complexes. Homogeneous Structures A,13, 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 for different systems like magnetic ordering with A = circle plus and B = circle minus spin direction or crystals of organic Molecules with different orientations