Supporting information
Crystallographic Information File (CIF) https://doi.org/10.1107/S0108270106021597/av3010sup1.cif | |
Structure factor file (CIF format) https://doi.org/10.1107/S0108270106021597/av3010Isup2.hkl |
Green plate-like crystals of Pb2VO(PO4)2 for the single-crystal experiment were obtained by slow cooling of a melted stoichiometric mixture of Pb2P2O7 and VO2 from 1073 K to 973 K in dynamic vacuum followed by furnace cooling.
Our preliminary studies indicated the presence of superstructure reflections for some crystals. Therefore, the crystals under investigation were carefully checked for the presence of superstructure, but no additional superstructure reflections were found. Nevertheless, a strong positive maximum exists in the difference Fourier map near atom Pb1 (0.66 Å). This maximum, as well as the relatively high displacement parameters for O atoms, may indicate that some domains in the crystal have modulated structure. Additional electron microscopy and X-ray structural studies are needed to clarify the type and the origin of the superstructure.
Program(s) used to solve structure: CSD (Akselrud et al., 1993); program(s) used to refine structure: (JANA2000; Petricek and Dusek, 2000); software used to prepare material for publication: (JANA2000; Petricek and Dusek, 2000).
Pb2VO(PO4)2 | F(000) = 1156 |
Mr = 671.3 | Dx = 5.837 Mg m−3 |
Monoclinic, P21/a | Mo Kα radiation, λ = 0.71069 Å |
Hall symbol: -P 2yab | Cell parameters from 23 reflections |
a = 8.747 (4) Å | θ = 17.0–20.7° |
b = 9.016 (5) Å | µ = 45.63 mm−1 |
c = 9.863 (9) Å | T = 293 K |
β = 100.96 (4)° | Plate, green |
V = 763.6 (9) Å3 | 0.24 × 0.18 × 0.08 mm |
Z = 4 |
CAD-4 diffractometer | Rint = 0.062 |
θ scans | θmax = 34.1°, θmin = 2.1° |
Absorption correction: gaussian (CAD-4 User's Manual; Enraf–Nonius, 1988) | h = 0→13 |
Tmin = 0.004, Tmax = 0.024 | k = −14→14 |
4932 measured reflections | l = −15→15 |
2703 independent reflections | 2 standard reflections every 0 reflections |
2020 reflections with I > 3σ(I) | intensity decay: 7.9% |
Refinement on F | Weighting scheme based on measured s.u.'s w = 1/[σ2(F) + 0.000625F2] |
R[F2 > 2σ(F2)] = 0.032 | (Δ/σ)max = 0.009 |
wR(F2) = 0.045 | Δρmax = 5.11 e Å−3 |
S = 1.62 | Δρmin = −1.35 e Å−3 |
2020 reflections | Extinction correction: B-C type 1 Lorentzian isotropic (Becker & Coppens, 1974) |
128 parameters | Extinction coefficient: 0.18 (2) |
Pb2VO(PO4)2 | V = 763.6 (9) Å3 |
Mr = 671.3 | Z = 4 |
Monoclinic, P21/a | Mo Kα radiation |
a = 8.747 (4) Å | µ = 45.63 mm−1 |
b = 9.016 (5) Å | T = 293 K |
c = 9.863 (9) Å | 0.24 × 0.18 × 0.08 mm |
β = 100.96 (4)° |
CAD-4 diffractometer | 2020 reflections with I > 3σ(I) |
Absorption correction: gaussian (CAD-4 User's Manual; Enraf–Nonius, 1988) | Rint = 0.062 |
Tmin = 0.004, Tmax = 0.024 | 2 standard reflections every 0 reflections |
4932 measured reflections | intensity decay: 7.9% |
2703 independent reflections |
R[F2 > 2σ(F2)] = 0.032 | 128 parameters |
wR(F2) = 0.045 | Δρmax = 5.11 e Å−3 |
S = 1.62 | Δρmin = −1.35 e Å−3 |
2020 reflections |
x | y | z | Uiso*/Ueq | ||
Pb1 | 0.48092 (8) | 0.19226 (8) | 0.35765 (6) | 0.0342 (2) | |
Pb2 | 0.89553 (8) | 0.14650 (8) | 0.71406 (7) | 0.0337 (2) | |
V1 | 0.2558 (3) | 0.4989 (3) | 0.0623 (3) | 0.0282 (6) | |
P1 | 0.2682 (5) | 0.5482 (5) | 0.4276 (5) | 0.0304 (10) | |
P2 | 0.0052 (5) | 0.2494 (5) | 0.0337 (4) | 0.0267 (9) | |
O1 | −0.0752 (17) | 0.1486 (14) | 0.1264 (13) | 0.033 (3) | |
O2 | 0.3381 (18) | 0.590 (2) | 0.3030 (17) | 0.045 (5) | |
O3 | 0.2541 (17) | 0.3813 (15) | 0.443 (2) | 0.045 (5) | |
O4 | 0.1018 (16) | 0.6158 (16) | 0.4057 (15) | 0.037 (4) | |
O5 | 0.1128 (15) | 0.3487 (15) | 0.1263 (14) | 0.033 (3) | |
O6 | −0.1089 (15) | 0.3369 (16) | −0.0721 (11) | 0.032 (3) | |
O7 | 0.0825 (17) | 0.1485 (17) | −0.0625 (12) | 0.035 (3) | |
O8 | 0.373 (2) | 0.5999 (19) | 0.557 (2) | 0.053 (6) | |
O9 | 0.2205 (17) | 0.4648 (17) | −0.0954 (13) | 0.037 (4) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Pb1 | 0.0394 (4) | 0.0344 (4) | 0.0291 (3) | −0.0031 (2) | 0.0070 (2) | 0.0006 (2) |
Pb2 | 0.0356 (3) | 0.0355 (4) | 0.0306 (3) | −0.0008 (2) | 0.0077 (2) | 0.0002 (2) |
V1 | 0.0297 (10) | 0.0273 (11) | 0.0287 (10) | 0.0002 (9) | 0.0082 (9) | 0.0007 (8) |
P1 | 0.0314 (18) | 0.0284 (18) | 0.0320 (16) | 0.0000 (15) | 0.0074 (14) | 0.0022 (14) |
P2 | 0.0304 (16) | 0.0240 (17) | 0.0268 (13) | 0.0010 (14) | 0.0080 (13) | −0.0011 (12) |
O1 | 0.041 (6) | 0.025 (5) | 0.034 (5) | −0.002 (5) | 0.013 (5) | 0.003 (4) |
O2 | 0.037 (6) | 0.047 (8) | 0.053 (8) | 0.003 (6) | 0.017 (6) | 0.020 (7) |
O3 | 0.033 (6) | 0.022 (5) | 0.079 (11) | −0.004 (5) | 0.005 (7) | −0.002 (6) |
O4 | 0.034 (6) | 0.036 (6) | 0.043 (6) | 0.001 (5) | 0.015 (5) | −0.006 (5) |
O5 | 0.032 (5) | 0.029 (5) | 0.041 (6) | −0.008 (4) | 0.014 (5) | −0.011 (5) |
O6 | 0.035 (5) | 0.041 (7) | 0.021 (4) | 0.004 (5) | 0.007 (4) | −0.001 (4) |
O7 | 0.036 (6) | 0.045 (7) | 0.024 (4) | 0.004 (5) | 0.003 (4) | −0.004 (5) |
O8 | 0.045 (8) | 0.034 (7) | 0.079 (12) | 0.000 (7) | 0.012 (8) | 0.008 (8) |
O9 | 0.042 (6) | 0.043 (7) | 0.026 (4) | −0.001 (6) | 0.009 (5) | −0.009 (5) |
Pb1—O1i | 2.660 (13) | V1—O1i | 1.999 (14) |
Pb1—O3 | 2.860 (16) | V1—O2 | 2.484 (17) |
Pb1—O3i | 2.468 (15) | V1—O5 | 2.024 (14) |
Pb1—O4ii | 2.663 (16) | V1—O6vii | 1.975 (14) |
Pb1—O4i | 2.978 (14) | V1—O7viii | 1.954 (15) |
Pb1—O5i | 2.771 (15) | V1—O9 | 1.558 (13) |
Pb1—O8iii | 2.335 (17) | P1—O2 | 1.519 (19) |
Pb2—O2iv | 2.423 (16) | P1—O3 | 1.519 (15) |
Pb2—O3i | 2.737 (18) | P1—O4 | 1.554 (15) |
Pb2—O4iii | 2.449 (15) | P1—O8 | 1.50 (2) |
Pb2—O6v | 2.725 (13) | P2—O1 | 1.550 (15) |
Pb2—O7v | 2.482 (12) | P2—O5 | 1.482 (13) |
Pb2—O8i | 2.693 (19) | P2—O6 | 1.520 (13) |
Pb2—O9vi | 2.825 (15) | P2—O7 | 1.558 (15) |
O1i—V1—O2 | 81.6 (5) | O7viii—V1—O9 | 98.3 (7) |
O1i—V1—O5 | 85.4 (6) | O2—P1—O3 | 112.0 (11) |
O1i—V1—O6vii | 158.8 (5) | O2—P1—O4 | 107.5 (9) |
O1i—V1—O7viii | 88.1 (6) | O2—P1—O8 | 109.9 (10) |
O1i—V1—O9 | 100.3 (7) | O3—P1—O4 | 108.1 (8) |
O2—V1—O5 | 90.3 (6) | O3—P1—O8 | 105.8 (10) |
O2—V1—O6vii | 77.3 (5) | O4—P1—O8 | 113.6 (9) |
O2—V1—O7viii | 72.2 (5) | O1—P2—O5 | 107.3 (8) |
O2—V1—O9 | 170.3 (7) | O1—P2—O6 | 113.4 (8) |
O5—V1—O6vii | 92.3 (6) | O1—P2—O7 | 108.4 (8) |
O5—V1—O7viii | 162.1 (5) | O5—P2—O6 | 111.5 (8) |
O5—V1—O9 | 99.3 (7) | O5—P2—O7 | 115.4 (8) |
O6vii—V1—O7viii | 87.7 (6) | O6—P2—O7 | 100.9 (7) |
O6vii—V1—O9 | 100.9 (6) |
Symmetry codes: (i) x+1/2, −y+1/2, z; (ii) −x+1/2, y−1/2, −z+1; (iii) −x+1, −y+1, −z+1; (iv) −x+3/2, y−1/2, −z+1; (v) x+1, y, z+1; (vi) x+1/2, −y+1/2, z+1; (vii) −x, −y+1, −z; (viii) −x+1/2, y+1/2, −z. |
Experimental details
Crystal data | |
Chemical formula | Pb2VO(PO4)2 |
Mr | 671.3 |
Crystal system, space group | Monoclinic, P21/a |
Temperature (K) | 293 |
a, b, c (Å) | 8.747 (4), 9.016 (5), 9.863 (9) |
β (°) | 100.96 (4) |
V (Å3) | 763.6 (9) |
Z | 4 |
Radiation type | Mo Kα |
µ (mm−1) | 45.63 |
Crystal size (mm) | 0.24 × 0.18 × 0.08 |
Data collection | |
Diffractometer | CAD-4 diffractometer |
Absorption correction | Gaussian (CAD-4 User's Manual; Enraf–Nonius, 1988) |
Tmin, Tmax | 0.004, 0.024 |
No. of measured, independent and observed [I > 3σ(I)] reflections | 4932, 2703, 2020 |
Rint | 0.062 |
(sin θ/λ)max (Å−1) | 0.789 |
Refinement | |
R[F2 > 2σ(F2)], wR(F2), S | 0.032, 0.045, 1.62 |
No. of reflections | 2020 |
No. of parameters | 128 |
No. of restraints | ? |
Δρmax, Δρmin (e Å−3) | 5.11, −1.35 |
Computer programs: CSD (Akselrud et al., 1993), (JANA2000; Petricek and Dusek, 2000).
Pb1—O1i | 2.660 (13) | V1—O1i | 1.999 (14) |
Pb1—O3 | 2.860 (16) | V1—O2 | 2.484 (17) |
Pb1—O3i | 2.468 (15) | V1—O5 | 2.024 (14) |
Pb1—O4ii | 2.663 (16) | V1—O6vii | 1.975 (14) |
Pb1—O4i | 2.978 (14) | V1—O7viii | 1.954 (15) |
Pb1—O5i | 2.771 (15) | V1—O9 | 1.558 (13) |
Pb1—O8iii | 2.335 (17) | P1—O2 | 1.519 (19) |
Pb2—O2iv | 2.423 (16) | P1—O3 | 1.519 (15) |
Pb2—O3i | 2.737 (18) | P1—O4 | 1.554 (15) |
Pb2—O4iii | 2.449 (15) | P1—O8 | 1.50 (2) |
Pb2—O6v | 2.725 (13) | P2—O1 | 1.550 (15) |
Pb2—O7v | 2.482 (12) | P2—O5 | 1.482 (13) |
Pb2—O8i | 2.693 (19) | P2—O6 | 1.520 (13) |
Pb2—O9vi | 2.825 (15) | P2—O7 | 1.558 (15) |
O1i—V1—O2 | 81.6 (5) | O7viii—V1—O9 | 98.3 (7) |
O1i—V1—O5 | 85.4 (6) | O2—P1—O3 | 112.0 (11) |
O1i—V1—O6vii | 158.8 (5) | O2—P1—O4 | 107.5 (9) |
O1i—V1—O7viii | 88.1 (6) | O2—P1—O8 | 109.9 (10) |
O1i—V1—O9 | 100.3 (7) | O3—P1—O4 | 108.1 (8) |
O2—V1—O5 | 90.3 (6) | O3—P1—O8 | 105.8 (10) |
O2—V1—O6vii | 77.3 (5) | O4—P1—O8 | 113.6 (9) |
O2—V1—O7viii | 72.2 (5) | O1—P2—O5 | 107.3 (8) |
O2—V1—O9 | 170.3 (7) | O1—P2—O6 | 113.4 (8) |
O5—V1—O6vii | 92.3 (6) | O1—P2—O7 | 108.4 (8) |
O5—V1—O7viii | 162.1 (5) | O5—P2—O6 | 111.5 (8) |
O5—V1—O9 | 99.3 (7) | O5—P2—O7 | 115.4 (8) |
O6vii—V1—O7viii | 87.7 (6) | O6—P2—O7 | 100.9 (7) |
O6vii—V1—O9 | 100.9 (6) |
Symmetry codes: (i) x+1/2, −y+1/2, z; (ii) −x+1/2, y−1/2, −z+1; (iii) −x+1, −y+1, −z+1; (iv) −x+3/2, y−1/2, −z+1; (v) x+1, y, z+1; (vi) x+1/2, −y+1/2, z+1; (vii) −x, −y+1, −z; (viii) −x+1/2, y+1/2, −z. |
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Reduced vanadates and vanadylphosphates (with V atoms in oxidation state less than +5), often have different low-dimensional units such as chains, ribbons or layers in their structures. Such compounds attract the particular attention of researchers since they exhibit a variety of specific magnetic properties induced by highly correlated d-electrons (Ueda, 1998). Compounds with the general formula A2VO(PO4)2 (where A = Sr and Ba) contain chains of V+4O6 octahedra or V+4O5 square pyramids in their structures (Wadewitz & Mueller-Buschbaum, 1996a,b). The chains may be either isolated or linked in layers. Quite often these compounds are isostructural with the respective vanadylvanadates with the same stoichiometry. Recently, Mentre et al. (1999) have reported the synthesis of the ternary oxide Pb2V3O9 with a structure similar to that of Sr2VO(PO4)2. The former structure is more distorted owing to the presence of the Pb2+ lone pair. Although structures of A2VO(PO4)2 (A = Sr and Ba) vanadylphosphates were described some time ago, the corresponding lead compound has not yet been reported. Recently, we synthesized Pb2VO(PO4)2 and found that it exhibits interesting and quite unusual magnetic properties (Kaul et al., 2004).
Three projections of the Pb2VO(PO4)2 structure are shown in Fig.1. It contains corrugated layers formed by VO5 square pyramids oriented in opposite directions in chess fashion. The pyramids are connected by tetrahedral PO4 groups. The waves in the layers propagate along the b axis. The square bases of the equally oriented pyramids are located approximately at the same level. The [VOPO4] layers are separated by Pb atoms and isolated PO4 tetrahedra. The V atom is coordinated by five O atoms forming a distorted square pyramid (Fig. 2c). A short V1—O9 distance [1.558 (13) Å] indicates the existence of a vanadyl bond. The basal distances are in the range 1.975 (14) to 2.02 (14) Å. The V atom polyhedron may also be considered as a distorted octahedron with a long V1—O2 distance of 2.484 (17) Å. Although Schindler et al. (2000) suggested considering this bond length as trans to the vanadyl bond in a square-bipyramidal coordination, a pyramidal representation in our case is more reasonable. This is supported by the τ-criteria calculation (Addison et al., 1984), resulting in a value of τ = 0.06 corresponding to a square-pyramidal coordination. Additionally, the O9—V1—O2 angle is 170.3 (7)°, while in a square–bipyramidal or octahedral coordination this angle is closer to 180°.
The coordination polyhedron of atom Pb1 (Fig. 2a) has a flat base formed by five O atoms, and two additional atoms, O3i and O8iii atoms, are located above the base. The Pb1—O3i and Pb1—O8iii distances are noticeably shorter [2.468 (15) and 2.335 (17) Å, respectively; see Table 1 for symmetry codes] than those for the basal atoms. This arrangement appears to be due to the presence of a lone pair, which should be located under the pentagonal basis opposite to atoms O3i and O8iii. The Pb2 coordination polyhedron looks more complicated (Fig. 2b). Nevertheless, one can note that in this case the lone pair should be situated oppositely to atom O2.
Sr2VO(PO4)2 is isotypical with Sr2VO(VO4)2 and Pb2VO(VO4)2 vanadates in spite of distortions induced by the lone pair of the Pb atom. One may expect that the same or a similar structural motif would be realised in the structure of Pb2VO(PO4)2. However, the Pb2VO(PO4)2 structure is completely different. This may be explained by the presence of the Pb2+ lone pair, leading to a strongly asymmetric coordination of these cations, together with the reduced size of the tetrahedral groups (the average distances are 1.55 Å in PO4 versus. 1.65 Å in VO4). The fact that mixed vanadylphosphates AMVO(PO4)2 (A = Sr and Ba; M = Zn and Cd) (Mueller-Buschbaum & Meyer, 1997; Mueller-Buschbaum et al., 1997) have crystal structures very similar to that of Pb2VO(PO4)2 allows us to make some conclusions about the role of the Pb2+ lone pair and thus explain the differences between Pb2VO(PO4)2 and Pb2VO(VO4)2. A noticeable difference in the A and M ionic radii {Zn2+[coordination number (CN) 4] = 0.74 Å, Sr2+(CN 8) = 1.39 Å and Ba2+(CN 8) = 1.56 Å} results in different coordination arrangements for these two cations. Thus, alkali-earth atoms are coordinated by eight O atoms and Zn atoms are tetrahedrally coordinated, while in the title structure both Pb atoms [the ionic radius of Pb2+(CN 8) is 1.45 Å] are surrounded by seven O atoms. The V atoms in AMVO(PO4)2 structures are in octahedral coordinations with much shorter trans bonds, viz. 2.188 and 2.391 Å for the Sr and Ba phases, respectively. Note that even in the case of BaZnVO(PO4)2 the length of the trans bond (2.43 Å) is shorter than that in Pb2VO(PO4)2 [2.484 (17) Å]. The larger the difference of the ionic radius of the A cation, the larger is the average displacement of the V atom from the equatorial plane of the square pyramid, viz. 0.12 and 0.25 Å for Sr- and Ba-containing structures, respectively. However, it it still less than that in the Pb-containing structure (0.35 Å). Additionally, in both Zn-containing vanadylphosphates, the Ovanadyl—V—Otrans angle is 175.7° in contrast to the value of 170.3 (7)° found in the studied structure. From this consideration, one may conclude that the effect of the lone pair in the Pb2VO(PO4)2 structure is somewhat similar to the result of ordering of two A cations with markedly different atomic radii.
The most likely reason for corrugation of the layers is the presence of the extra tetrahedra between them (Fig. 3). Thus, in both Pb2VO(PO4)2 and BaZnVO(PO4)2 (Figs. 3a and 3b, respectively) extra PO4 tetrahedra are located between the [VOPO4] layers. In the Li2VOSiO4 structure (Millet & Satto, 1998), adjacent [VOSiO4] layers with a similar type of polyhedral linkage are flat, since they are separated only by Li+ cations (Fig. 3c). The same type of [(VO)2(PO4)2] layer was found in Pb(VO)2(PO4)2·4H2O (Kang et al., 1992) (Fig. 3d), in which the layers are separated by Pb atoms and water molecules. In contrast to the [VOPO4] layers, in the title compound the [VO(PO4)] (X = P andSi) layers in Li2VOSiO4 and Pb(VO)2(PO4)2·4H2O are almost flat.