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The structures of the Magnéli-phases V  n  O 2   n   –1  (3 ≤  n  ≤ 7) are reviewed with respect to their structural relationships to rutile-type VO 2 . The general expressions for the transformation matrices  P  and  Q  =  P  –1  are derived allowing the prediction of lattice parameters and atomic coordinates for hypothetical structures of V  n  O 2   n   –1  with  n  ≥ 8.

General structural relationships between rutile-type VO 2 and the Magnéli-phases V n O 2 n –1