research papers
The synthetic vanadinites (PbxCa10−x)(VO4)6(F1−2yOy□y)2, 0.57 < x < 9 and 0.10 < y < 0.47, adopt the P63/m apatite structure with 9.7835 (3) ≤ a ≤ 10.0531 (1) Å and 7.0318 (2) ≤ c ≤ 7.3033 (1) Å. The calcium endmember is monoclinic, space group P21/m, with a = 9.7370 (3), b = 9.7358 (4), c = 7.00572 (9) Å, γ = 120.002 (5)°. For mixed metal compounds (x ≠ 0) the partitioning of calcium and lead over the AI(4f) and AII(6h) positions is nonstoichiometric, with lead preferentially favouring the larger AII site at a partitioning coefficient kPb(AI/AII) ≃ 0.33 for all x < 7. A miscibility gap exists for 2 < x < 3. Trends in crystallographic parameters can be correlated through consideration of the AIO6 metaprism twist angle (φ) that can be used to derive ideal cell parameters from triangular anion networks.