A number of fluorozirconate clusters having the general formula [ZrmFn]((4m
-n)) were investigated by the DV-X-alpha quantum chemical method. The resul
ts of calculations are used to explain the existence of polyhedra with coor
dination numbers of the central atom 6, 7, and 8 in crystalline fluorozirco
nates. In the title series of clusters, the [ZrF6](2-) octahedron and the d
imer of edge-sharing seven-vertex polyhedra [Zr2F12](4-) are highly stable.