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At single crystals of nine fluoride phases AMF(3) the hexagonal perovskite structures were refined by X-ray methods, of RbNiF3 below T-C approximate to 145 K, too. The hexagonal 6L type (P6(3)/mmc, Z = 6) is found at: RbMgF3 (a = 585.7(1); c=1426.0(1) pm), CsMnF3 (624.4(1); 1515.4(4) pm), CsFeF3 (615.8(1); 1488.4(6) pm), Rb0.63Cs0.37CoF3 (599.1(1); 1460.3(4)pm), RbNiF3 (128 K: 552.6(1); 1426.4(6)pm), Cs2BaLiNi2F9 (593.1(1); 1447.1(4)pm). Of the hexagonal rhombohedral 9 L type (R (3) over bar m, Z = 9) are CsCoF3 (620.1(1); 2264.0(7) pm) and yellow CsNiF3 (614.7(1); 2235.3(6)pm), prepared at lower temperatures resp. under high pressure, whereas light green CsNiF3 (625.5(1); 524.2(1) pm) belongs to the 2 L type (P6(3)/mmc, Z = 2). The occurence of these structures and the interatomic distances observed, comparing also normal and high pressure phases, are discussed in connection with the tolerance factor.