Survey of octahedral structures AXn and A2Xn
Structures built from octahedral AX6 groups that share some or all of their X atoms may be classified according to the numbers of octahedra to which the X atoms belong. If vx is the number of X atoms of each AX6 group in a structure of composition AmXn which are common to xsuch groups (that is, x is...
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Veröffentlicht in: | Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences 1984-10, Vol.312 (1523), p.553-600 |
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Sprache: | eng |
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Zusammenfassung: | Structures built from octahedral AX6 groups that share some or all of their X atoms may be classified according to the numbers of octahedra to which the X atoms belong. If vx is the number of X atoms of each AX6 group in a structure of composition AmXn which are common to xsuch groups (that is, x is the coordination number of X) then hvx — 6 and lL{vx/x) — n/m.The solutions of these equations for any composition AmX^ may be examined systematically. The present survey is restricted to structures in which m = 1 or 2 which can be constructed from regular octahedral AX6 groups all of which share their X atoms in the same way and have no X-X separations shorter than the edge of an octahedron. A study is made of the types of possible structure, finite, one-, two-, or three-dimensional, and the emphasis is on the topology rather than the geometry of the structures. |
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ISSN: | 0080-4614 2054-0272 |
DOI: | 10.1098/rsta.1984.0075 |