research communications
accessThe missing representatives of the hydrated sodium orthophosphate phases: Na3(PO4)(H2O)7 and Na3(PO4)(H2O)6
aInstitute for Chemical Technologies and Analytics, Division of Applied Solid State Chemistry, Getreidemarkt 9/E164-05-1, 1060 Vienna, Austria, and bX-ray Centre, TU Wien, Getreidemarkt 9/E057-04, 1060 Vienna, Austria
*Correspondence e-mail: [email protected]
The crystal structures of the long-known compound Na3(PO4)(H2O)6, trisodium orthophosphate hexahydrate, and the compound Na3(PO4)(H2O)7, trisodium orthophosphate heptahydrate, the possible existence of which is discussed in the literature, were elucidated by single-crystal X-ray diffraction. In both crystal structures, all the water molecules are bound to the sodium cations, but the different water content leads to different arrangements in terms of polyhedral linkage. In the case of the heptahydrate (space group Pca21, Z = 4), this results in a layered structure made up from three sixfold coordinated Na+ cations with phosphate units in between. In the case of the hexahydrate (space group P1, Z = 4), a three-dimensional network is realised by one fivefold and five sixfold coordinated Na+ cations, in which the phosphate units are embedded in the voids. In both crystal structures, the water molecules are involved in complex O—H⋯O hydrogen-bonding networks and form moderately strong hydrogen bonds on average, almost exclusively with the phosphate O atoms. It is noteworthy that some O atoms accept up to five such bonds.
Keywords: crystal structure; orthophosphate; hydrogen bonding; Na3PO4 hydrate.
1. Chemical context
In continuation of our structural studies on M3(XO4)(H2O)n compounds with tetrahedral anions (M = alkali metal; X = P, V), viz. K3(PO4)(D2O)7 (Weil & Stöger, 2020
), K3(VO4)(H2O)0.56 and K3(VO4)(H2O)4 (Wolflehner & Weil, 2025
), we became interested in the Na3(PO4)(H2O)n system. Trisodium phosphate (TSP) and its hydrated phases are industrially relevant chemicals used on a large scale in the saponification of fats, as cleaning agents, or as water softening agents (Schrödter et al., 2008
). They are also used as food additives for their properties as complexing agents, acidity regulators, melting salts, emulsifiers or firming agents. Together with other sodium phosphates they are listed under the European approval number E339 for food additives (European Commission, 2025
). Although TSP and its hydrate phases are well investigated due to these areas of application, there are still contradictions in the literature regarding the existence and composition of some hydrate phases (Menzel & von Sahr, 1937
; Ingerson & Morey, 1943
; Quimby, 1947
; Bell, 1949
; Wendrow & Kobe, 1952
, 1954
). For example, a compound with composition ‘Na3(PO4)·12H2O’ is still offered in the chemical trade, even though it has long been known that a phase with this composition does not exist because it contains additional NaOH and must be reformulated as Na3PO4·(NaOH)≃0.25·12H2O (Tillmanns & Baur, 1970
, 1971
). Up to now, the existence of the hydrate phases Na3(PO4)(H2O)8, Na3(PO4)(H2O)6, and Na3(PO4)(H2O)0.5 has been unequivocally confirmed (Wendrow & Kobe, 1954
), but only the crystal structures of the octahydrate (Larbot & Durand, 1983
) and the hemihydrate (Averbuch-Pouchot & Durif, 1983
) have been determined so far. In the older literature, the existence of Na3(PO4)(H2O)7 has been suggested by some authors (Menzel & von Sahr, 1937
; Ingerson & Morey, 1943
), but questioned by others (Quimby, 1947
; Bell, 1949
). In a more recent investigation of the thermal dehydration of ‘Na3(PO4)·12H2O’, the heptahydrate phase of TSP was reported to appear as an intermediate dehydration product as revealed by temperature-dependent Raman studies (Ghule et al., 2001
).
In this article, we report on the crystal structures of the long-known compound Na3(PO4)(H2O)6 and of the suspected Na3(PO4)(H2O)7, thereby confirming the existence of the heptahydrate phase of TSP.
2. Structural commentary
2.1. Na3(PO4)(H2O)7
Na3(PO4)(H2O)7 crystallizes in the non-centrosymmetric orthorhombic Pca21, and the absolute structure of the crystal chosen for data collection has been reliably determined [Flack parameter 0.00 (3)]. The asymmetric unit comprises one formula unit. The crystal structure consists of three Na+ cations sixfold surrounded by five water molecules and one phosphate O atom for Na1, and by six water molecules for both Na2 and Na3 (Fig. 1
). By sharing edges and corners defined by water molecules, these polyhedra are linked into a layer structure extending parallel to (001), Fig. 2
. Thereby, three water molecules (OW3, OW4, OW5) are bound to three Na+ cations, and four (OW1, OW2, OW6, OW7) to two Na+ cations each (Table 2). The isolated [PO4]3– tetrahedra are sandwiched between layers (Table 1![]()
, Fig. 3
), with only one of the phosphate oxygen atoms (O1) directly bound to a sodium cation.
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| Figure 1 The asymmetric unit of Na3(PO4)(H2O)7 expanded to show the full coordination environments of the three Na+ cations. Displacement ellipsoid are given at the 90% probability level except for H atoms, which are shown with an arbitrary radius. Symmetry codes refer to Table 1 |
| Figure 2 Na3(PO4)(H2O)7. Linkage of [NaO(H2O)5] (Na1) and [Na(H2O)6] (Na2, Na3) polyhedra into (001) layers in a view along [00 |
| Figure 3 Na3(PO4)(H2O)7. View of the crystal structure along [0 |
The description of the closest matching ideal for the three Na+ sites and quantification of the distortion (δ) from it was performed with the Polynator program (Link & Niewa, 2023
). In all cases, the idealized coordination polyhedron can be derived from a Bailar twist (dynamic) with moderate distortions (Table 2
). The overall mean Na—O bond length in the three [NaO6] polyhedra amounts to 2.415 Å, in good agreement with the literature value of 2.441 (112) Å averaged from 920 individual polyhedra (Gagné & Hawthorne, 2016
).
The P—O distances in the orthophosphate group lie in a narrow range (Table 2
) with a mean of 1.546 Å, again in good agreement with the literature value of 1.537 (39) Å averaged from 3650 phosphate tetrahedra (Gagné & Hawthorne, 2018
). The slight angular distortions of the [PO4]3– tetrahedron is seen by the variation of the O—P—O angles ranging from 108.28 (3) to 111.12 (4)°.
The of Na3(PO4)(H2O)7 is consolidated by an intricate network of O—H⋯O hydrogen bonds between water molecules as donor groups and phosphate O atoms as acceptor atoms (Table 3
, Fig. 4
). All the water molecules contribute to the hydrogen bonding with two approximately linear O—H⋯O links. The number of hydrogen bonds accepted differs for the O atoms of the phosphate group. Atom O1, which is the only one additionally bound to Na+, is the acceptor of two hydrogen bonds, O2 and O3 are each acceptors of three hydrogen bonds, while O4 is remarkably the acceptor of five hydrogen bonds. The D⋯A distances range from 2.5865 (9) to 3.2041 (11) Å, and on average can be classified as of medium strength (Jeffrey, 1997
). It is noteworthy that only one hydrogen bond is formed with another water molecule as the acceptor (O6W), namely with the longest observed D⋯A distance (Table 3
).
|
| Figure 4 Na3(PO4)(H2O)7. Hydrogen-bonding network (green lines) between water molecules and phosphate tetrahedra. Displacement ellipsoids are as in Fig. 1 |
2.2. Na3(PO4)(H2O)6
Na3(PO4)(H2O)6 crystallizes in the triclinic P and comprises two formula units in the The consists of one fivefold coordinated Na+ cation (Na1) and five sixfold coordinated Na+ cations (Na2–Na6) with different idealized coordination polyhedra (Fig. 5
, Tables 2
and 4
). The mean Na—O distance of the fivefold coordinated Na+ is 2.418 Å, in very good agreement with the literature value of 2.413 (108) Å (Gagné & Hawthorne, 2016
). The total mean value of the Na—O distance of the five sixfold-coordinated Na+ cations is 2.455 Å, which is slightly longer than in the heptahydrate and corresponds almost perfectly with the value given in the literature (see above).
|
| Figure 5 The asymmetric unit of Na3(PO4)(H2O)6 expanded to show the full coordination environments of the six Na+ cations. Displacement ellipsoid are as in Fig. 1 |
The lower water content compared to Na3(PO4)(H2O)7 can be seen in a lower number of coordinating water molecules for the cations. Overall, only two of the six-coordinated cations (Na2, Na5) have all ligand atoms from water molecules, two cations (Na3, Na4) have five water molecules and one phosphate O atom in the coordination sphere, and one (Na6) has only three water molecules and three phosphate O atoms; the five-coordinated Na1 also has three water molecules as direct coordination partners. The individual polyhedra are in turn connected to each other by sharing corners and edges, with four of the water molecules (O2W, O7W, O8W, O10W) bound to three cations simultaneously and the rest bound to two (Table 2
).
Another difference to Na3(PO4)(H2O)7 concerns the resulting linkage of these polyhedra, which in this case is not in the form of layers but as a three-dimensional framework structure (Fig. 6
). The [PO4]3– tetrahedra are isolated and located in the voids of this arrangement (Fig. 7
). It is noteworthy here that the two unique [PO4]3– tetrahedra exhibit different properties. While all the O atoms of one tetrahedron (P1) are also shared with Na+ cations, the O atoms of the other tetrahedron (P2) belong exclusively to the P atom. However, these differences are not noticeable in the P—O bond lengths (Table 2
). The range of P—O bond lengths is approximately the same in both phosphate tetrahedra, and the respective mean values correspond to the literature value (see above). The range of O—P—O angles also does not differ significantly, ranging from 107.68 (3) to 110.03 (2)° for P1 and from 108.71 (3) to 110.23 (2)° for P2.
| Figure 6 Na3(PO4)(H2O)6. Linkage of [NaO2(H2O)3] (Na1), [Na(H2O)6] (Na2, Na5), [NaO(H2O)5] (Na3, Na4), and [NaO3(H2O)3] (Na6) polyhedra into a framework structure in a view along [0 |
| Figure 7 Na3(PO4)(H2O)6. View of the crystal structure along [ |
A network of O—H⋯O hydrogen bonds consolidates the of the hexahydrate and exhibit similar D⋯A distances and angles (Table 5
, Fig. 8
) as the heptahydrate. With only one water molecule as an additional acceptor (O6W), the phosphate O atoms primarily assume this role in the hexahydrate as well. The differences between the two phosphate groups are clearly evident in the hydrogen-bonding network. The total number of accepted hydrogen bonds of seven for the P1 phosphate tetrahedron (which also bonds to sodium ions) is significantly lower than for the ‘free' P2 tetrahedron with 15.
|
| Figure 8 Na3(PO4)(H2O)6. Hydrogen-bonding network (green lines) between water molecules and phosphate tetrahedra. Displacement ellipsoids are as in Fig. 1 |
2.3. Bond valence sum calculation
Calculations of bond-valence sums (BVS; Brown, 2002
) were performed with the program ECoN21 (Ilinca, 2022
) without contributions of H atoms. The BVS values of all atomic sites are listed in Table 2
and correspond to expectations for Na (1.0 valence unit, v. u.) and for P (5.0 v. u.). The BVS values obtained for the O atoms reflect their roles in the hydrogen-bonding networks. All water O atoms (O*W) have a value of less than 0.5 v.u., and all phosphate O atoms have a value significantly below the expected BVS value of 2.0 v.u., which is due to their role as acceptors of hydrogen bonds. There is a consistent trend for these phosphate O atoms showing that the BVS value decreases as the number of accepted hydrogen bonds increases (Tables 2
, 3
and 5
).
3. Database survey
A search of the Inorganic Database (ICSD; data release 2025-1; Zagorac et al., 2019
) for Na3(XO4)(H2O)n phases with tetrahedral (XO4)3– anions (X = P, As, V) revealed two entries for orthophosphates, Na3(PO4)(H2O)8 (Larbot & Durand, 1983
) and Na3(PO4)(H2O)0.5 (Averbuch-Pouchot & Durif, 1983
), no entry for orthoarsenates, and one entry for orthovanadates, Na3(VO4)(H2O)3 (Kato & Takayama-Muromachi, 1987
).
Na3(PO4)(H2O)8 (space group P) comprises two formula units in the asymmetric unit. From the six octahedrally surrounded Na+ cations, five exhibit solely water molecules in the coordination sphere, and one four water molecules and two O atoms from phosphate groups. Like in Na3(PO4)(H2O)7, the polyhedra around the Na+ cations are linked into a layered arrangement, with [PO4]3– groups situated in between. Hydrogen atoms have not been determined for this structure, hence details on hydrogen-bonding interactions are limited to D⋯A distances.
Na3(PO4)(H2O)0.5 (space group C2/c) comprises one formula unit in the asymmetric unit. One of the three octahedrally surrounded Na+ cations has solely phosphate O atoms in the coordination sphere, while the other two have one water molecule and five phosphate O atoms as ligands. Linking these polyhedra leads a framework structure. The water molecule is situated on a twofold rotation axis and is the donor of two symmetry-related hydrogen bonds of medium strength.
Na3(VO4)(H2O)3 (space group R3) comprises one third of the formula unit in the asymmetric unit, with the V and one O atom situated on a threefold rotation axis. The [NaO3(H2O)3] octahedron shares its edges with neighbouring octahedra to form a framework structure. In this structure, too, two hydrogen bonds of medium strength are formed by the water molecule.
4. Synthesis and crystallization
For the crystal growth of Na3(PO4)(H2O)7, a concentrated aqueous solution of Na3(PO4) was prepared in a polypropylene beaker from commercially available Na3(PO4)(H2O)6 (Budenheim KG, Germany) and evaporated for one day at 361 K in a drying oven. Pieces were broken off from the compact product and crushed again by gentle pressing between two glass slides. Crystals were isolated under a polarizing microscope and tested on a single crystal diffractometer. Besides weakly diffracting multi-domain crystals of undetermined composition, high-quality crystals of Na3(PO4)(H2O)7 were obtained this way.
A suitable single crystals of Na3(PO4)(H2O)6 was taken directly from the storage container of a commercially available sample (Budenheim KG, Germany).
5. Refinement
Crystal data, data collection and structure details are summarized in Table 6
. To prevent possible water release, data collections were performed at 100 K. Experience has shown that measurements at low temperatures also enable better localization of hydrogen atom positions from difference-Fourier maps, which was the case for all hydrogen atoms in both hydrate phases. Their O—H bond lengths were refined with restraints using a value of 0.85 (1) Å. Quick measurements of crystals of both compounds at room temperature showed no notable differences from the low-temperature measurements.
|
Supporting information
contains datablocks Na3PO4H2O6, Na3PO4H2O7, global. DOI: https://doi.org/10.1107/S2056989025009843/hb8171sup1.cif
Structure factors: contains datablock Na3PO4H2O6. DOI: https://doi.org/10.1107/S2056989025009843/hb8171Na3PO4H2O6sup2.hkl
Structure factors: contains datablock Na3PO4H2O7. DOI: https://doi.org/10.1107/S2056989025009843/hb8171Na3PO4H2O7sup3.hkl
| Na3(PO4)(H2O)6 | Z = 4 |
| Mr = 272.04 | F(000) = 560 |
| Triclinic, P1 | Dx = 1.917 Mg m−3 |
| a = 9.5490 (4) Å | Mo Kα radiation, λ = 0.71073 Å |
| b = 9.6353 (5) Å | Cell parameters from 42515 reflections |
| c = 12.1401 (6) Å | θ = 1.9–36.7° |
| α = 109.289 (4)° | µ = 0.46 mm−1 |
| β = 101.228 (4)° | T = 100 K |
| γ = 108.476 (4)° | Plate, colourless |
| V = 942.35 (8) Å3 | 0.13 × 0.09 × 0.04 mm |
| Stoe STADIVARI diffractometer | 9215 independent reflections |
| Radiation source: Axo_Mo | 8427 reflections with I > 2σ(I) |
| Graded multilayer mirror monochromator | Rint = 0.018 |
| Detector resolution: 13.33 pixels mm-1 | θmax = 36.9°, θmin = 2.4° |
| rotation method, ω scans | h = −16→13 |
| Absorption correction: multi-scan (LANA; Koziskova et al., 2016) | k = −10→16 |
| Tmin = 0.911, Tmax = 0.991 | l = −20→20 |
| 42672 measured reflections |
| Refinement on F2 | Primary atom site location: dual |
| Least-squares matrix: full | Hydrogen site location: difference Fourier map |
| R[F2 > 2σ(F2)] = 0.020 | Only H-atom coordinates refined |
| wR(F2) = 0.056 | w = 1/[σ2(Fo2) + (0.0291P)2 + 0.1762P] where P = (Fo2 + 2Fc2)/3 |
| S = 1.06 | (Δ/σ)max = 0.002 |
| 9215 reflections | Δρmax = 0.53 e Å−3 |
| 325 parameters | Δρmin = −0.32 e Å−3 |
| 24 restraints |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
| x | y | z | Uiso*/Ueq | ||
| Na1 | 0.46040 (3) | −0.10173 (3) | 0.34021 (2) | 0.01131 (5) | |
| Na2 | 0.35186 (3) | −0.16635 (3) | −0.00188 (2) | 0.00949 (5) | |
| Na3 | 0.31635 (3) | 0.17465 (3) | 0.28593 (2) | 0.00889 (4) | |
| Na4 | 0.63254 (3) | 0.45792 (3) | 0.28635 (2) | 0.01083 (5) | |
| Na5 | 0.81993 (3) | 0.85412 (3) | 0.47425 (2) | 0.00871 (4) | |
| Na6 | 1.01416 (3) | 0.39929 (3) | 0.34657 (2) | 0.00953 (5) | |
| P1 | 0.69885 (2) | 0.28053 (2) | 0.46564 (2) | 0.00492 (3) | |
| P2 | −0.13497 (2) | −0.26690 (2) | 0.07362 (2) | 0.00497 (3) | |
| O1 | 0.58849 (5) | 0.23882 (5) | 0.33732 (4) | 0.00922 (7) | |
| O2 | 0.70340 (5) | 0.43730 (5) | 0.56120 (4) | 0.00895 (7) | |
| O3 | 0.86741 (5) | 0.31380 (5) | 0.46279 (4) | 0.00820 (7) | |
| O4 | 0.63891 (5) | 0.14101 (5) | 0.50280 (4) | 0.00914 (7) | |
| O5 | −0.18726 (5) | −0.13720 (5) | 0.14385 (4) | 0.00937 (7) | |
| O6 | −0.04459 (5) | −0.20890 (5) | −0.00562 (4) | 0.00942 (7) | |
| O7 | −0.03024 (5) | −0.30105 (5) | 0.16635 (4) | 0.00814 (7) | |
| O8 | −0.28289 (5) | −0.42346 (5) | −0.01384 (4) | 0.00825 (7) | |
| O1W | 0.60359 (5) | 0.02983 (6) | 0.13572 (4) | 0.01135 (7) | |
| H1WA | 0.6072 (14) | 0.0949 (13) | 0.2043 (10) | 0.017* | |
| H1WB | 0.6714 (13) | −0.0106 (14) | 0.1449 (11) | 0.017* | |
| O2W | 0.60598 (6) | −0.25279 (6) | 0.26337 (5) | 0.01358 (8) | |
| H2WA | 0.5326 (13) | −0.3403 (13) | 0.2176 (11) | 0.020* | |
| H2WB | 0.6559 (14) | −0.2320 (15) | 0.2186 (11) | 0.020* | |
| O3W | 0.43736 (5) | −0.37555 (5) | −0.07135 (4) | 0.00970 (7) | |
| H3WA | 0.3845 (13) | −0.4408 (13) | −0.0491 (10) | 0.015* | |
| H3WB | 0.5313 (12) | −0.3654 (13) | −0.0451 (10) | 0.015* | |
| O4W | 0.26544 (5) | −0.28566 (6) | 0.14281 (4) | 0.01040 (7) | |
| H4WA | 0.1781 (12) | −0.2915 (14) | 0.1430 (10) | 0.016* | |
| H4WB | 0.2588 (13) | −0.3752 (13) | 0.1040 (10) | 0.016* | |
| O5W | 0.24137 (5) | 0.01652 (5) | 0.07208 (4) | 0.01034 (7) | |
| H5WA | 0.1484 (12) | −0.0496 (13) | 0.0527 (10) | 0.016* | |
| H5WB | 0.2323 (13) | 0.0709 (13) | 0.0327 (10) | 0.016* | |
| O6W | 0.37090 (5) | 0.42450 (6) | 0.24429 (4) | 0.01154 (8) | |
| H6WA | 0.3214 (13) | 0.4155 (14) | 0.1753 (10) | 0.017* | |
| H6WB | 0.3349 (13) | 0.4744 (14) | 0.2944 (10) | 0.017* | |
| O7W | 0.63802 (5) | 0.65073 (5) | 0.49826 (4) | 0.00930 (7) | |
| H7WA | 0.6496 (13) | 0.5753 (13) | 0.5170 (10) | 0.014* | |
| H7WB | 0.5398 (12) | 0.6220 (13) | 0.4755 (10) | 0.014* | |
| O8W | 0.77912 (5) | 1.03439 (5) | 0.64277 (4) | 0.00946 (7) | |
| H8WA | 0.8590 (12) | 1.1091 (13) | 0.6996 (10) | 0.014* | |
| H8WB | 0.7518 (13) | 1.0782 (13) | 0.5982 (10) | 0.014* | |
| O9W | 0.91801 (5) | 1.03959 (5) | 0.39645 (4) | 0.00958 (7) | |
| H9WA | 0.8919 (13) | 0.9917 (13) | 0.3208 (9) | 0.014* | |
| H9WB | 0.8890 (13) | 1.1149 (13) | 0.4071 (10) | 0.014* | |
| O10W | 0.88846 (5) | 0.64630 (6) | 0.35754 (4) | 0.00997 (7) | |
| H10A | 0.9146 (13) | 0.6684 (13) | 0.3019 (10) | 0.015* | |
| H10B | 0.9719 (12) | 0.6652 (13) | 0.4111 (10) | 0.015* | |
| O11W | 1.05705 (5) | 0.17297 (5) | 0.22373 (4) | 0.00941 (7) | |
| H11A | 1.0618 (13) | 0.1875 (13) | 0.1572 (10) | 0.014* | |
| H11B | 0.9869 (12) | 0.0787 (12) | 0.1988 (10) | 0.014* | |
| O12W | 0.91400 (6) | 0.38437 (6) | 0.14452 (4) | 0.01083 (7) | |
| H12A | 0.9607 (13) | 0.3419 (13) | 0.0989 (10) | 0.016* | |
| H12B | 0.9286 (13) | 0.4756 (12) | 0.1426 (11) | 0.016* |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| Na1 | 0.00846 (10) | 0.01261 (11) | 0.00943 (11) | 0.00320 (9) | 0.00247 (8) | 0.00208 (9) |
| Na2 | 0.00993 (10) | 0.00898 (10) | 0.00958 (10) | 0.00441 (8) | 0.00319 (8) | 0.00350 (8) |
| Na3 | 0.00822 (10) | 0.00915 (10) | 0.00819 (10) | 0.00328 (8) | 0.00196 (8) | 0.00311 (8) |
| Na4 | 0.00839 (10) | 0.01256 (11) | 0.00898 (10) | 0.00200 (9) | 0.00190 (8) | 0.00434 (9) |
| Na5 | 0.00863 (10) | 0.00774 (10) | 0.00979 (10) | 0.00296 (8) | 0.00392 (8) | 0.00363 (8) |
| Na6 | 0.00947 (10) | 0.00953 (10) | 0.00881 (10) | 0.00287 (8) | 0.00378 (8) | 0.00354 (8) |
| P1 | 0.00444 (5) | 0.00515 (5) | 0.00481 (5) | 0.00190 (4) | 0.00119 (4) | 0.00196 (4) |
| P2 | 0.00499 (5) | 0.00510 (5) | 0.00470 (5) | 0.00206 (4) | 0.00134 (4) | 0.00208 (4) |
| O1 | 0.00815 (16) | 0.01242 (18) | 0.00564 (15) | 0.00500 (14) | 0.00015 (13) | 0.00263 (14) |
| O2 | 0.01142 (17) | 0.00766 (16) | 0.00709 (16) | 0.00488 (14) | 0.00300 (13) | 0.00145 (13) |
| O3 | 0.00551 (14) | 0.01020 (16) | 0.01047 (17) | 0.00352 (13) | 0.00329 (13) | 0.00557 (14) |
| O4 | 0.00861 (16) | 0.00780 (16) | 0.01155 (17) | 0.00204 (13) | 0.00348 (14) | 0.00591 (14) |
| O5 | 0.00990 (16) | 0.00825 (16) | 0.00981 (17) | 0.00520 (14) | 0.00346 (14) | 0.00214 (14) |
| O6 | 0.00998 (16) | 0.01025 (17) | 0.00833 (16) | 0.00251 (14) | 0.00420 (13) | 0.00521 (14) |
| O7 | 0.00774 (15) | 0.00951 (16) | 0.00773 (16) | 0.00397 (13) | 0.00111 (13) | 0.00471 (14) |
| O8 | 0.00684 (15) | 0.00686 (15) | 0.00772 (16) | 0.00093 (13) | 0.00056 (13) | 0.00209 (13) |
| O1W | 0.01197 (18) | 0.01287 (18) | 0.00871 (17) | 0.00664 (15) | 0.00221 (14) | 0.00321 (15) |
| O2W | 0.00987 (17) | 0.0143 (2) | 0.0168 (2) | 0.00397 (15) | 0.00499 (16) | 0.00754 (17) |
| O3W | 0.00861 (16) | 0.01147 (18) | 0.01137 (17) | 0.00478 (14) | 0.00439 (14) | 0.00633 (15) |
| O4W | 0.00843 (16) | 0.00966 (17) | 0.01095 (17) | 0.00372 (14) | 0.00291 (14) | 0.00203 (14) |
| O5W | 0.00952 (16) | 0.00937 (17) | 0.01091 (17) | 0.00374 (14) | 0.00255 (14) | 0.00350 (14) |
| O6W | 0.01125 (17) | 0.0173 (2) | 0.00671 (16) | 0.00813 (16) | 0.00269 (14) | 0.00377 (15) |
| O7W | 0.00787 (16) | 0.00895 (16) | 0.01092 (17) | 0.00252 (13) | 0.00286 (13) | 0.00505 (14) |
| O8W | 0.00934 (16) | 0.00804 (16) | 0.00966 (17) | 0.00319 (14) | 0.00179 (14) | 0.00334 (14) |
| O9W | 0.01174 (17) | 0.00927 (17) | 0.00822 (17) | 0.00525 (14) | 0.00296 (14) | 0.00359 (14) |
| O10W | 0.00814 (16) | 0.01246 (18) | 0.00823 (16) | 0.00333 (14) | 0.00267 (13) | 0.00402 (14) |
| O11W | 0.01033 (16) | 0.00900 (17) | 0.00891 (16) | 0.00350 (14) | 0.00338 (14) | 0.00413 (14) |
| O12W | 0.01409 (18) | 0.00960 (17) | 0.01098 (18) | 0.00646 (15) | 0.00509 (15) | 0.00482 (14) |
| Na1—O4 | 2.3205 (6) | Na4—O2Wv | 2.9741 (6) |
| Na1—O4i | 2.3722 (5) | Na5—O7W | 2.3151 (5) |
| Na1—O4W | 2.3907 (6) | Na5—O9W | 2.3155 (5) |
| Na1—O2W | 2.4107 (6) | Na5—O9Wvi | 2.3577 (5) |
| Na1—O8Wii | 2.5944 (5) | Na5—O8W | 2.3971 (5) |
| Na2—O5W | 2.3508 (5) | Na5—O10W | 2.4006 (5) |
| Na2—O1W | 2.3690 (6) | Na5—O2Wv | 2.5838 (6) |
| Na2—O3W | 2.3726 (5) | Na6—O3 | 2.3321 (5) |
| Na2—O1Wiii | 2.4245 (6) | Na6—O12W | 2.3913 (5) |
| Na2—O12Wiii | 2.5221 (6) | Na6—O11W | 2.4088 (5) |
| Na2—O4W | 2.5269 (6) | Na6—O2vii | 2.4443 (5) |
| Na3—O5W | 2.3549 (5) | Na6—O3vii | 2.6552 (6) |
| Na3—O1 | 2.3707 (5) | Na6—O10W | 2.9641 (5) |
| Na3—O8Wii | 2.4357 (5) | P1—O4 | 1.5336 (5) |
| Na3—O11Wiv | 2.4372 (5) | P1—O1 | 1.5419 (4) |
| Na3—O7Wii | 2.4623 (5) | P1—O3 | 1.5482 (4) |
| Na3—O6W | 2.5365 (6) | P1—O2 | 1.5525 (5) |
| Na4—O10W | 2.3115 (5) | P2—O6 | 1.5348 (5) |
| Na4—O1 | 2.3278 (5) | P2—O7 | 1.5462 (4) |
| Na4—O6W | 2.3433 (5) | P2—O5 | 1.5476 (4) |
| Na4—O3Wiii | 2.3463 (5) | P2—O8 | 1.5509 (5) |
| Na4—O7W | 2.6079 (6) | ||
| O1—P1—O2 | 108.70 (2) | P1—O2—Na6vii | 100.64 (2) |
| O1—P1—O3 | 110.03 (2) | P1—O3—Na6 | 136.44 (3) |
| O3—P1—O2 | 107.68 (3) | P1—O3—Na6vii | 92.37 (2) |
| O4—P1—O1 | 109.62 (3) | Na6—O3—Na6vii | 95.452 (17) |
| O4—P1—O2 | 110.25 (3) | P1—O4—Na1i | 136.46 (3) |
| O4—P1—O3 | 110.52 (2) | P1—O4—Na1 | 114.59 (3) |
| O5—P2—O8 | 108.71 (2) | Na1—O4—Na1i | 97.030 (18) |
| O6—P2—O5 | 109.77 (3) | Na2—O1W—Na2iii | 94.480 (19) |
| O6—P2—O7 | 109.83 (2) | Na2—O1W—H1WA | 116.4 (8) |
| O6—P2—O8 | 108.30 (2) | Na2iii—O1W—H1WA | 109.8 (8) |
| O7—P2—O5 | 110.23 (2) | Na2iii—O1W—H1WB | 109.4 (8) |
| O7—P2—O8 | 109.96 (2) | Na2—O1W—H1WB | 113.0 (8) |
| O4—Na1—O4i | 82.970 (18) | H1WA—O1W—H1WB | 112.2 (11) |
| O4—Na1—O2W | 107.43 (2) | Na1—O2W—Na4viii | 131.39 (2) |
| O4i—Na1—O2W | 118.22 (2) | Na1—O2W—Na5viii | 96.15 (2) |
| O4—Na1—O4W | 159.42 (2) | Na1—O2W—H2WA | 99.2 (8) |
| O4i—Na1—O4W | 108.745 (19) | Na1—O2W—H2WB | 121.8 (8) |
| O4—Na1—O8Wii | 93.816 (18) | Na4viii—O2W—H2WA | 63.3 (8) |
| O4i—Na1—O8Wii | 63.542 (16) | Na4viii—O2W—H2WB | 106.7 (8) |
| O4W—Na1—O2W | 82.410 (19) | Na5viii—O2W—Na4viii | 74.081 (16) |
| O4W—Na1—O8Wii | 77.394 (17) | Na5viii—O2W—H2WA | 134.0 (8) |
| O1W—Na2—O1Wiii | 85.520 (19) | Na5viii—O2W—H2WB | 103.7 (9) |
| O1W—Na2—O3W | 94.509 (18) | H2WA—O2W—H2WB | 104.3 (12) |
| O1Wiii—Na2—O4W | 168.587 (19) | Na2—O3W—H3WA | 100.2 (8) |
| O1W—Na2—O4W | 98.343 (18) | Na2—O3W—H3WB | 124.6 (7) |
| O1Wiii—Na2—O12Wiii | 96.788 (18) | Na4iii—O3W—Na2 | 104.369 (19) |
| O1W—Na2—O12Wiii | 177.322 (19) | Na4iii—O3W—H3WA | 115.0 (8) |
| O3W—Na2—O1Wiii | 103.980 (19) | Na4iii—O3W—H3WB | 107.3 (8) |
| O3W—Na2—O12Wiii | 83.629 (18) | H3WA—O3W—H3WB | 105.8 (11) |
| O5W—Na2—O1Wiii | 82.339 (18) | Na1—O4W—Na2 | 103.47 (2) |
| O5W—Na2—O1W | 90.266 (19) | Na1—O4W—H4WA | 111.4 (8) |
| O5W—Na2—O3W | 172.34 (2) | Na1—O4W—H4WB | 123.6 (8) |
| O5W—Na2—O4W | 86.890 (18) | Na2—O4W—H4WA | 111.5 (8) |
| O5W—Na2—O12Wiii | 91.388 (18) | Na2—O4W—H4WB | 96.6 (8) |
| O1—Na3—O6W | 87.697 (18) | H4WA—O4W—H4WB | 108.8 (11) |
| O1—Na3—O7Wii | 89.260 (18) | Na2—O5W—Na3 | 120.57 (2) |
| O1—Na3—O8Wii | 103.275 (18) | Na2—O5W—H5WA | 99.2 (8) |
| O1—Na3—O11Wiv | 164.843 (19) | Na2—O5W—H5WB | 115.8 (8) |
| O5W—Na3—O1 | 98.056 (19) | Na3—O5W—H5WA | 104.6 (8) |
| O5W—Na3—O6W | 89.307 (18) | Na3—O5W—H5WB | 110.4 (8) |
| O5W—Na3—O7Wii | 171.710 (19) | H5WA—O5W—H5WB | 103.3 (11) |
| O5W—Na3—O8Wii | 100.594 (19) | Na3—O6W—H6WA | 119.0 (8) |
| O5W—Na3—O11Wiv | 81.906 (18) | Na3—O6W—H6WB | 99.5 (8) |
| O7Wii—Na3—O6W | 87.087 (18) | Na4—O6W—Na3 | 87.121 (18) |
| O8Wii—Na3—O6W | 163.889 (19) | Na4—O6W—H6WA | 119.3 (8) |
| O8Wii—Na3—O7Wii | 81.375 (17) | Na4—O6W—H6WB | 125.4 (8) |
| O8Wii—Na3—O11Wiv | 91.578 (17) | H6WA—O6W—H6WB | 104.4 (11) |
| O11Wiv—Na3—O6W | 77.146 (17) | Na3ii—O7W—Na4 | 169.88 (2) |
| O11Wiv—Na3—O7Wii | 90.011 (18) | Na3ii—O7W—H7WA | 93.0 (7) |
| O1—Na4—O2Wv | 159.988 (18) | Na3ii—O7W—H7WB | 94.6 (7) |
| O1—Na4—O3Wiii | 111.510 (19) | Na4—O7W—H7WA | 80.0 (7) |
| O1—Na4—O6W | 93.473 (19) | Na4—O7W—H7WB | 94.1 (8) |
| O1—Na4—O7W | 94.255 (18) | Na5—O7W—Na3ii | 93.036 (19) |
| O3Wiii—Na4—O2Wv | 78.629 (17) | Na5—O7W—Na4 | 85.941 (18) |
| O3Wiii—Na4—O7W | 147.855 (19) | Na5—O7W—H7WA | 129.0 (7) |
| O6W—Na4—O2Wv | 70.391 (18) | Na5—O7W—H7WB | 126.4 (7) |
| O6W—Na4—O3Wiii | 81.508 (18) | H7WA—O7W—H7WB | 103.5 (10) |
| O6W—Na4—O7W | 77.934 (18) | Na1ii—O8W—H8WA | 108.7 (8) |
| O7W—Na4—O2Wv | 71.332 (16) | Na1ii—O8W—H8WB | 63.4 (8) |
| O10W—Na4—O1 | 116.965 (19) | Na3ii—O8W—Na1ii | 89.467 (17) |
| O10W—Na4—O2Wv | 75.406 (17) | Na3ii—O8W—H8WA | 107.3 (8) |
| O10W—Na4—O3Wiii | 102.604 (19) | Na3ii—O8W—H8WB | 144.2 (8) |
| O10W—Na4—O6W | 144.02 (2) | Na5—O8W—Na1ii | 131.86 (2) |
| O10W—Na4—O7W | 80.946 (18) | Na5—O8W—Na3ii | 91.707 (18) |
| O7W—Na5—O2Wv | 83.498 (18) | Na5—O8W—H8WA | 116.7 (8) |
| O7W—Na5—O8W | 85.300 (18) | Na5—O8W—H8WB | 90.3 (8) |
| O7W—Na5—O9W | 158.71 (2) | H8WA—O8W—H8WB | 103.5 (11) |
| O7W—Na5—O9Wvi | 116.928 (19) | Na5—O9W—Na5vi | 95.644 (19) |
| O7W—Na5—O10W | 85.482 (18) | Na5vi—O9W—H9WA | 121.6 (8) |
| O8W—Na5—O2Wv | 113.288 (19) | Na5—O9W—H9WA | 108.6 (8) |
| O8W—Na5—O10W | 161.013 (19) | Na5vi—O9W—H9WB | 108.7 (8) |
| O9Wvi—Na5—O2Wv | 153.12 (2) | Na5—O9W—H9WB | 118.8 (8) |
| O9W—Na5—O2Wv | 76.393 (18) | H9WA—O9W—H9WB | 104.4 (11) |
| O9W—Na5—O8W | 96.191 (19) | Na4—O10W—Na5 | 91.035 (19) |
| O9Wvi—Na5—O8W | 87.022 (18) | Na4—O10W—Na6 | 92.274 (18) |
| O9W—Na5—O9Wvi | 84.355 (19) | Na4—O10W—H10A | 112.3 (8) |
| O9W—Na5—O10W | 98.413 (19) | Na4—O10W—H10B | 133.7 (8) |
| O9Wvi—Na5—O10W | 82.422 (18) | Na5—O10W—Na6 | 149.66 (2) |
| O2vii—Na6—O3vii | 58.627 (15) | Na5—O10W—H10A | 108.0 (8) |
| O2vii—Na6—O10W | 102.222 (17) | Na5—O10W—H10B | 100.1 (8) |
| O3—Na6—O2vii | 121.259 (19) | Na6—O10W—H10A | 98.6 (8) |
| O3—Na6—O3vii | 84.548 (17) | Na6—O10W—H10B | 57.3 (7) |
| O3—Na6—O10W | 90.449 (16) | H10A—O10W—H10B | 106.6 (11) |
| O3vii—Na6—O10W | 56.888 (14) | Na3ix—O11W—H11A | 96.8 (7) |
| O3—Na6—O11W | 107.102 (19) | Na3ix—O11W—H11B | 110.2 (7) |
| O3—Na6—O12W | 126.569 (19) | Na6—O11W—Na3ix | 118.18 (2) |
| O11W—Na6—O2vii | 90.615 (18) | Na6—O11W—H11A | 103.7 (7) |
| O11W—Na6—O3vii | 147.954 (18) | Na6—O11W—H11B | 118.6 (8) |
| O11W—Na6—O10W | 148.828 (18) | H11A—O11W—H11B | 105.8 (10) |
| O12W—Na6—O2vii | 111.333 (19) | Na2iii—O12W—H12A | 92.3 (8) |
| O12W—Na6—O3vii | 117.639 (18) | Na2iii—O12W—H12B | 112.9 (8) |
| O12W—Na6—O10W | 69.070 (16) | Na6—O12W—Na2iii | 118.81 (2) |
| O12W—Na6—O11W | 79.823 (17) | Na6—O12W—H12A | 108.2 (8) |
| P1—O1—Na3 | 125.14 (3) | Na6—O12W—H12B | 114.4 (8) |
| P1—O1—Na4 | 113.58 (3) | H12A—O12W—H12B | 107.1 (11) |
| Na4—O1—Na3 | 91.501 (18) |
| Symmetry codes: (i) −x+1, −y, −z+1; (ii) −x+1, −y+1, −z+1; (iii) −x+1, −y, −z; (iv) x−1, y, z; (v) x, y+1, z; (vi) −x+2, −y+2, −z+1; (vii) −x+2, −y+1, −z+1; (viii) x, y−1, z; (ix) x+1, y, z. |
| D—H···A | D—H | H···A | D···A | D—H···A |
| O1W—H1WA···O1 | 0.85 (1) | 1.83 (1) | 2.6704 (7) | 171 (1) |
| O1W—H1WB···O5ix | 0.86 (1) | 2.09 (1) | 2.9417 (6) | 172 (1) |
| O2W—H2WA···O6Wviii | 0.82 (1) | 2.47 (1) | 3.1079 (8) | 136 (1) |
| O2W—H2WB···O5ix | 0.82 (1) | 2.03 (1) | 2.8343 (7) | 167 (1) |
| O3W—H3WA···O8x | 0.83 (1) | 1.84 (1) | 2.6651 (6) | 175 (1) |
| O3W—H3WB···O8ix | 0.85 (1) | 2.03 (1) | 2.8469 (6) | 161 (1) |
| O4W—H4WA···O7 | 0.82 (1) | 2.04 (1) | 2.8552 (6) | 173 (1) |
| O4W—H4WB···O8x | 0.81 (1) | 2.00 (1) | 2.7987 (7) | 170 (1) |
| O5W—H5WA···O6 | 0.84 (1) | 1.80 (1) | 2.6359 (7) | 172 (1) |
| O5W—H5WB···O5xi | 0.83 (1) | 2.43 (1) | 3.2184 (7) | 159 (1) |
| O6W—H6WA···O8xi | 0.84 (1) | 1.95 (1) | 2.7557 (6) | 159 (1) |
| O6W—H6WB···O2ii | 0.84 (1) | 1.84 (1) | 2.6508 (6) | 160 (1) |
| O7W—H7WA···O2 | 0.86 (1) | 1.77 (1) | 2.6209 (6) | 172 (1) |
| O7W—H7WB···O2ii | 0.85 (1) | 2.12 (1) | 2.9658 (6) | 174 (1) |
| O8W—H8WA···O7ii | 0.83 (1) | 1.95 (1) | 2.7783 (7) | 172 (1) |
| O8W—H8WB···O4v | 0.84 (1) | 1.81 (1) | 2.6220 (6) | 164 (1) |
| O9W—H9WA···O5xii | 0.82 (1) | 1.93 (1) | 2.7531 (7) | 174 (1) |
| O9W—H9WB···O3v | 0.84 (1) | 1.90 (1) | 2.7235 (6) | 167 (1) |
| O10W—H10A···O7xii | 0.83 (1) | 1.91 (1) | 2.7345 (6) | 175 (1) |
| O10W—H10B···O3vii | 0.85 (1) | 1.85 (1) | 2.6902 (6) | 171 (1) |
| O11W—H11A···O6iii | 0.87 (1) | 1.90 (1) | 2.7666 (6) | 173 (1) |
| O11W—H11B···O5ix | 0.85 (1) | 2.00 (1) | 2.8460 (7) | 176 (1) |
| O12W—H12A···O6iii | 0.86 (1) | 1.90 (1) | 2.7438 (7) | 168 (1) |
| O12W—H12B···O7xii | 0.85 (1) | 1.97 (1) | 2.8165 (6) | 171 (1) |
| Symmetry codes: (ii) −x+1, −y+1, −z+1; (iii) −x+1, −y, −z; (v) x, y+1, z; (vii) −x+2, −y+1, −z+1; (viii) x, y−1, z; (ix) x+1, y, z; (x) −x, −y−1, −z; (xi) −x, −y, −z; (xii) x+1, y+1, z. |
| Na3(PO4)(H2O)7 | Dx = 1.891 Mg m−3 |
| Mr = 290.05 | Mo Kα radiation, λ = 0.71073 Å |
| Orthorhombic, Pca21 | Cell parameters from 9336 reflections |
| a = 12.3169 (7) Å | θ = 3.1–40.1° |
| b = 6.5324 (3) Å | µ = 0.44 mm−1 |
| c = 12.6602 (7) Å | T = 100 K |
| V = 1018.63 (9) Å3 | Fragment, colourless |
| Z = 4 | 0.28 × 0.19 × 0.10 mm |
| F(000) = 600 |
| Bruker APEXII CCD diffractometer | 6108 reflections with I > 2σ(I) |
| ω– and φ–scans | Rint = 0.032 |
| Absorption correction: multi-scan (SADABS; Krause et al., 2015) | θmax = 40.5°, θmin = 3.1° |
| Tmin = 0.695, Tmax = 0.748 | h = −22→22 |
| 44325 measured reflections | k = −11→11 |
| 6462 independent reflections | l = −23→23 |
| Refinement on F2 | Hydrogen site location: difference Fourier map |
| Least-squares matrix: full | All H-atom parameters refined |
| R[F2 > 2σ(F2)] = 0.020 | w = 1/[σ2(Fo2) + (0.0225P)2 + 0.0222P] where P = (Fo2 + 2Fc2)/3 |
| wR(F2) = 0.046 | (Δ/σ)max = 0.002 |
| S = 1.07 | Δρmax = 0.32 e Å−3 |
| 6462 reflections | Δρmin = −0.22 e Å−3 |
| 192 parameters | Absolute structure: Flack x determined using 2767 quotients [(I+)-(I-)]/[(I+)+(I-)] (Parsons et al., 2013). |
| 15 restraints | Absolute structure parameter: 0.00 (3) |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
| x | y | z | Uiso*/Ueq | ||
| Na1 | 0.73222 (3) | 0.61661 (6) | 0.49574 (3) | 0.00846 (6) | |
| Na2 | 0.54849 (3) | 0.70865 (6) | 0.64923 (3) | 0.00916 (6) | |
| Na3 | 0.43297 (3) | 1.27728 (6) | 0.62867 (3) | 0.00944 (6) | |
| P1 | 0.75326 (2) | 0.24872 (3) | 0.32554 (2) | 0.00477 (3) | |
| O1 | 0.72833 (5) | 0.47911 (9) | 0.32845 (5) | 0.00800 (9) | |
| O2 | 0.66276 (5) | 0.13564 (9) | 0.38566 (5) | 0.00924 (9) | |
| O3 | 0.75902 (5) | 0.16945 (10) | 0.21082 (5) | 0.00796 (9) | |
| O4 | 0.86543 (5) | 0.20695 (9) | 0.37948 (5) | 0.00788 (9) | |
| O1W | 0.57966 (5) | 0.82117 (10) | 0.47986 (5) | 0.01029 (10) | |
| H1WA | 0.5198 (11) | 0.815 (3) | 0.4480 (14) | 0.028 (4)* | |
| H1WB | 0.6126 (15) | 0.921 (2) | 0.4517 (17) | 0.041 (6)* | |
| O2W | 0.88619 (5) | 0.81072 (10) | 0.45322 (5) | 0.01096 (10) | |
| H2WA | 0.922 (2) | 0.755 (3) | 0.4035 (17) | 0.057 (7)* | |
| H2WB | 0.8770 (15) | 0.928 (2) | 0.4281 (15) | 0.035 (5)* | |
| O3W | 0.74117 (5) | 0.75613 (10) | 0.67442 (6) | 0.00859 (10) | |
| H3WA | 0.7496 (13) | 0.683 (3) | 0.7294 (12) | 0.019 (4)* | |
| H3WB | 0.7415 (12) | 0.8842 (19) | 0.6921 (16) | 0.018 (4)* | |
| O4W | 0.60995 (5) | 1.35459 (9) | 0.56927 (5) | 0.00912 (9) | |
| H4WA | 0.6198 (14) | 1.287 (2) | 0.5141 (11) | 0.021 (4)* | |
| H4WB | 0.6484 (15) | 1.283 (2) | 0.6127 (14) | 0.027 (5)* | |
| O5W | 0.37190 (5) | 0.61919 (9) | 0.57759 (5) | 0.00872 (9) | |
| H5WA | 0.3356 (15) | 0.691 (3) | 0.6207 (13) | 0.025 (4)* | |
| H5WB | 0.3699 (16) | 0.688 (3) | 0.5207 (12) | 0.033 (5)* | |
| O6W | 0.49639 (5) | 0.50744 (10) | 0.79038 (7) | 0.01433 (12) | |
| H6WA | 0.4324 (11) | 0.504 (3) | 0.8144 (15) | 0.033 (5)* | |
| H6WB | 0.5315 (13) | 0.419 (2) | 0.8240 (15) | 0.030 (5)* | |
| O7W | 0.48839 (5) | 1.00429 (9) | 0.73831 (5) | 0.00970 (10) | |
| H7WA | 0.5377 (13) | 1.056 (3) | 0.7769 (14) | 0.034 (5)* | |
| H7WB | 0.4388 (13) | 0.965 (3) | 0.7820 (13) | 0.027 (4)* |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| Na1 | 0.00824 (13) | 0.00899 (14) | 0.00816 (14) | −0.00015 (11) | 0.00008 (11) | −0.00087 (12) |
| Na2 | 0.00823 (13) | 0.01088 (14) | 0.00835 (15) | −0.00081 (11) | 0.00028 (11) | 0.00097 (12) |
| Na3 | 0.00783 (13) | 0.01056 (14) | 0.00992 (15) | −0.00032 (11) | −0.00038 (11) | 0.00150 (12) |
| P1 | 0.00497 (6) | 0.00469 (6) | 0.00464 (6) | −0.00022 (5) | 0.00001 (6) | 0.00026 (6) |
| O1 | 0.0102 (2) | 0.00554 (19) | 0.0083 (2) | 0.00096 (15) | 0.0004 (2) | 0.00007 (19) |
| O2 | 0.0082 (2) | 0.0103 (2) | 0.0092 (2) | −0.00266 (18) | 0.00143 (19) | 0.0019 (2) |
| O3 | 0.0108 (2) | 0.0076 (2) | 0.0055 (2) | 0.00040 (17) | −0.00007 (17) | −0.00092 (18) |
| O4 | 0.0058 (2) | 0.0095 (2) | 0.0083 (2) | 0.00073 (17) | −0.00134 (17) | 0.00040 (19) |
| O1W | 0.0096 (2) | 0.0104 (2) | 0.0110 (3) | −0.00099 (18) | −0.0012 (2) | 0.0037 (2) |
| O2W | 0.0125 (2) | 0.0097 (2) | 0.0107 (3) | −0.0005 (2) | 0.0010 (2) | 0.0026 (2) |
| O3W | 0.0102 (2) | 0.0075 (2) | 0.0081 (2) | 0.00052 (17) | −0.00060 (18) | −0.00046 (18) |
| O4W | 0.0087 (2) | 0.0099 (2) | 0.0088 (2) | 0.00065 (17) | −0.00025 (19) | 0.0004 (2) |
| O5W | 0.0086 (2) | 0.0095 (2) | 0.0080 (2) | 0.00113 (17) | 0.0008 (2) | 0.0004 (2) |
| O6W | 0.0109 (2) | 0.0158 (3) | 0.0163 (3) | 0.0056 (2) | 0.0050 (2) | 0.0084 (2) |
| O7W | 0.0093 (2) | 0.0105 (2) | 0.0093 (3) | −0.0020 (2) | 0.00029 (19) | 0.00024 (18) |
| Na1—O1 | 2.3010 (8) | Na2—O4Wi | 2.6357 (7) |
| Na1—O1W | 2.3146 (7) | Na3—O4W | 2.3605 (7) |
| Na1—O2W | 2.3440 (7) | Na3—O7W | 2.3606 (7) |
| Na1—O3W | 2.4413 (8) | Na3—O2Wiii | 2.3656 (8) |
| Na1—O4Wi | 2.4626 (7) | Na3—O3Wiii | 2.4421 (8) |
| Na1—O5Wii | 2.5311 (7) | Na3—O5Wiv | 2.4439 (7) |
| Na2—O1W | 2.2991 (7) | Na3—O6Wiv | 2.6575 (10) |
| Na2—O6W | 2.3093 (8) | P1—O1 | 1.5365 (6) |
| Na2—O7W | 2.3558 (7) | P1—O2 | 1.5386 (6) |
| Na2—O3W | 2.4146 (7) | P1—O3 | 1.5435 (7) |
| Na2—O5W | 2.4279 (7) | P1—O4 | 1.5652 (6) |
| O1—Na1—O1W | 97.38 (3) | Na2—O1W—H1WA | 106.5 (13) |
| O1—Na1—O2W | 90.95 (3) | Na1—O1W—H1WA | 136.3 (14) |
| O1W—Na1—O2W | 108.94 (3) | Na2—O1W—H1WB | 135.9 (15) |
| O1—Na1—O3W | 178.26 (3) | Na1—O1W—H1WB | 95.4 (13) |
| O1W—Na1—O3W | 84.36 (3) | H1WA—O1W—H1WB | 104.9 (19) |
| O2W—Na1—O3W | 88.53 (3) | Na1—O2W—Na3v | 81.37 (2) |
| O1—Na1—O4Wi | 93.66 (2) | Na1—O2W—H2WA | 110.7 (17) |
| O1W—Na1—O4Wi | 86.42 (2) | Na3v—O2W—H2WA | 117.8 (19) |
| O2W—Na1—O4Wi | 163.26 (3) | Na1—O2W—H2WB | 118.3 (13) |
| O3W—Na1—O4Wi | 86.38 (2) | Na3v—O2W—H2WB | 127.7 (14) |
| O1—Na1—O5Wii | 98.83 (2) | H2WA—O2W—H2WB | 101 (2) |
| O1W—Na1—O5Wii | 159.85 (3) | Na2—O3W—Na1 | 77.60 (2) |
| O2W—Na1—O5Wii | 82.72 (2) | Na2—O3W—Na3v | 155.23 (4) |
| O3W—Na1—O5Wii | 79.46 (2) | Na1—O3W—Na3v | 77.91 (2) |
| O4Wi—Na1—O5Wii | 80.67 (2) | Na2—O3W—H3WA | 99.0 (11) |
| O1W—Na2—O6W | 161.83 (3) | Na1—O3W—H3WA | 123.6 (14) |
| O1W—Na2—O7W | 103.70 (3) | Na3v—O3W—H3WA | 91.4 (11) |
| O6W—Na2—O7W | 90.51 (3) | Na2—O3W—H3WB | 99.4 (10) |
| O1W—Na2—O3W | 85.30 (3) | Na1—O3W—H3WB | 126.9 (14) |
| O6W—Na2—O3W | 104.12 (3) | Na3v—O3W—H3WB | 98.2 (10) |
| O7W—Na2—O3W | 98.07 (3) | H3WA—O3W—H3WB | 109.3 (18) |
| O1W—Na2—O5W | 83.00 (2) | Na3—O4W—Na1iv | 146.50 (3) |
| O6W—Na2—O5W | 84.44 (3) | Na3—O4W—Na2iv | 78.47 (2) |
| O7W—Na2—O5W | 95.43 (2) | Na1iv—O4W—Na2iv | 73.20 (2) |
| O3W—Na2—O5W | 163.89 (3) | Na3—O4W—H4WA | 106.6 (12) |
| O1W—Na2—O4Wi | 82.79 (2) | Na1iv—O4W—H4WA | 88.0 (12) |
| O6W—Na2—O4Wi | 82.97 (3) | Na2iv—O4W—H4WA | 145.9 (13) |
| O7W—Na2—O4Wi | 173.46 (3) | Na3—O4W—H4WB | 100.9 (14) |
| O3W—Na2—O4Wi | 83.17 (2) | Na1iv—O4W—H4WB | 106.3 (13) |
| O5W—Na2—O4Wi | 84.41 (2) | Na2iv—O4W—H4WB | 112.7 (13) |
| O4W—Na3—O7W | 94.70 (3) | H4WA—O4W—H4WB | 99.5 (17) |
| O4W—Na3—O2Wiii | 88.73 (3) | Na2—O5W—Na3i | 81.11 (2) |
| O7W—Na3—O2Wiii | 116.04 (3) | Na2—O5W—Na1vi | 155.28 (3) |
| O4W—Na3—O3Wiii | 171.10 (3) | Na3i—O5W—Na1vi | 76.19 (2) |
| O7W—Na3—O3Wiii | 94.17 (3) | Na2—O5W—H5WA | 95.7 (14) |
| O2Wiii—Na3—O3Wiii | 88.02 (3) | Na3i—O5W—H5WA | 119.9 (13) |
| O4W—Na3—O5Wiv | 90.25 (2) | Na1vi—O5W—H5WA | 104.0 (14) |
| O7W—Na3—O5Wiv | 159.23 (3) | Na2—O5W—H5WB | 102.5 (13) |
| O2Wiii—Na3—O5Wiv | 84.18 (3) | Na3i—O5W—H5WB | 135.9 (15) |
| O3Wiii—Na3—O5Wiv | 81.18 (2) | Na1vi—O5W—H5WB | 87.4 (14) |
| O4W—Na3—O6Wiv | 81.54 (2) | H5WA—O5W—H5WB | 103.7 (18) |
| O7W—Na3—O6Wiv | 83.65 (3) | Na2—O6W—Na3i | 78.90 (3) |
| O2Wiii—Na3—O6Wiv | 158.82 (3) | Na2—O6W—H6WA | 123.6 (13) |
| O3Wiii—Na3—O6Wiv | 98.76 (3) | Na3i—O6W—H6WA | 89.3 (13) |
| O5Wiv—Na3—O6Wiv | 77.13 (2) | Na2—O6W—H6WB | 129.9 (13) |
| O1—P1—O2 | 108.28 (3) | Na3i—O6W—H6WB | 98.9 (13) |
| O1—P1—O3 | 111.12 (4) | H6WA—O6W—H6WB | 106.2 (18) |
| O2—P1—O3 | 109.74 (4) | Na2—O7W—Na3 | 115.38 (3) |
| O1—P1—O4 | 109.68 (3) | Na2—O7W—H7WA | 112.1 (13) |
| O2—P1—O4 | 109.87 (4) | Na3—O7W—H7WA | 104.2 (14) |
| O3—P1—O4 | 108.15 (4) | Na2—O7W—H7WB | 106.6 (12) |
| P1—O1—Na1 | 113.60 (4) | Na3—O7W—H7WB | 113.3 (12) |
| Na2—O1W—Na1 | 82.53 (2) | H7WA—O7W—H7WB | 105 (2) |
| Symmetry codes: (i) x, y−1, z; (ii) x+1/2, −y+1, z; (iii) x−1/2, −y+2, z; (iv) x, y+1, z; (v) x+1/2, −y+2, z; (vi) x−1/2, −y+1, z. |
| D—H···A | D—H | H···A | D···A | D—H···A |
| O1W—H1WA···O4vi | 0.84 (1) | 2.09 (1) | 2.9344 (9) | 176 (2) |
| O1W—H1WB···O2iv | 0.85 (1) | 1.74 (1) | 2.5865 (9) | 172 (2) |
| O2W—H2WA···O6Wvii | 0.85 (1) | 2.38 (1) | 3.2042 (11) | 163 (2) |
| O2W—H2WB···O4iv | 0.84 (1) | 1.93 (1) | 2.7634 (9) | 175 (2) |
| O3W—H3WA···O1viii | 0.85 (1) | 1.85 (1) | 2.6867 (9) | 168 (2) |
| O3W—H3WB···O3ix | 0.87 (1) | 1.88 (1) | 2.7391 (9) | 172 (2) |
| O4W—H4WA···O2iv | 0.84 (1) | 1.97 (1) | 2.8058 (9) | 173 (2) |
| O4W—H4WB···O3ix | 0.86 (1) | 1.84 (1) | 2.6978 (9) | 171 (2) |
| O5W—H5WA···O3x | 0.85 (1) | 1.87 (1) | 2.7114 (9) | 173 (2) |
| O5W—H5WB···O4vi | 0.85 (1) | 1.92 (1) | 2.7544 (9) | 169 (2) |
| O6W—H6WA···O1x | 0.85 (1) | 1.99 (1) | 2.8109 (9) | 163 (2) |
| O6W—H6WB···O4viii | 0.84 (1) | 2.01 (1) | 2.8323 (9) | 169 (2) |
| O7W—H7WA···O4ix | 0.85 (1) | 2.02 (1) | 2.8616 (9) | 170 (2) |
| O7W—H7WB···O2x | 0.86 (1) | 1.93 (1) | 2.7894 (9) | 175 (2) |
| Symmetry codes: (iv) x, y+1, z; (vi) x−1/2, −y+1, z; (vii) −x+3/2, y, z−1/2; (viii) −x+3/2, y, z+1/2; (ix) −x+3/2, y+1, z+1/2; (x) −x+1, −y+1, z+1/2. |
| Atom | Number of coordination partners | Polyhedron (idealized point group symmetry; deviation δ from it) | Range of M—O bond lengths (Å) | Average M—O bond length (Å) | Number of water molecules in the first coordination sphere (Na—O < 3.0 Å); number of accepted hydrogen bonds | BVS (v.u.) |
| Na3(PO4)(H2O)7 | ||||||
| Na1 | 6 | Bailar twist (dynamic) (32; 6.105) | 2.3009 (8)–2.5307 (8) | 2.399 | 5 | 1.19 |
| Na2 | 6 | Bailar twist (dynamic) (32; 7.566) | 2.2989 (8)–2.6359 (8) | 2.407 | 6 | 1.16 |
| Na3 | 6 | Bailar twist (dynamic) (32; 7.357) | 2.3604 (8)–2.6575 (10) | 2.438 | 6 | 1.08 |
| P1 | 4 | tetrahedron (43m; 1.306) | 1.5367 (6)–1.5655 (7) | 1.546 | – | 4.93 |
| O1 | 2 | 2 | 1.50 | |||
| O2 | 1 | 3 | 1.26 | |||
| O3 | 1 | 3 | 1.25 | |||
| O4 | 1 | 5 | 1.17 | |||
| O1W | 2 | – | 0.47 | |||
| O2W | 2 | – | 0.43 | |||
| O3W | 3 | – | 0.53 | |||
| O4W | 3 | – | 0.48 | |||
| O5W | 3 | – | 0.49 | |||
| O6W | 2 | 1 | 0.36 | |||
| O7W | 2 | – | 0.43 | |||
| Na3(PO4)(H2O)6 | ||||||
| Na1 | 5 | Ψ-1 octahedron (4mm; 22.301) | 2.3505 (6)–2.5944 (5) | 2.418 | 3 | 0.98 |
| Na2 | 6 | twisted trigonal prism (32; 6.248) | 2.3508 (5)–2.5269 (6) | 2.428 | 6 | 1.08 |
| Na3 | 6 | twisted trigonal prism (32; 7.483) | 2.3549 (5)–2.5365 (6) | 2.433 | 5 | 1.07 |
| Na4 | 6 | trigonal antifrustum (3m; 12.318) | 2.3115 (5)–2.9741 (6) | 2.485 | 5 | 1.08 |
| Na5 | 6 | twisted trigonal prism (32; 6.907) | 2.3151 (5)–2.5838 (6) | 2.395 | 6 | 1.18 |
| Na6 | 6 | isosceles wedge (mm2; 22.202) | 2.3321 (5)–2.9641 (5) | 2.533 | 3 | 0.96 |
| P1 | 4 | tetrahedron (43m; 0.995) | 1.5336 (5)–1.5525 (5) | 1.544 | – | 4.92 |
| P2 | 4 | tetrahedron (43m; 0.823) | 1.5348 (5)–1.5509 (5) | 1.545 | – | 4.95 |
| O1 | 3 | 1 | 1.69 | |||
| O2 | 2 | 3 | 1.41 | |||
| O3 | 3 | 2 | 1.54 | |||
| O4 | 3 | 1 | 1.70 | |||
| O5 | 1 | 5 | 1.21 | |||
| O6 | 1 | 3 | 1.26 | |||
| O7 | 1 | 4 | 1.22 | |||
| O8 | 1 | 4 | 1.21 | |||
| O1W | 2 | – | 0.41 | |||
| O2W | 3 | – | 0.36 | |||
| O3W | 2 | – | 0.42 | |||
| O4W | 2 | – | 0.34 | |||
| O5W | 2 | – | 0.43 | |||
| O6W | 2 | 1 | 0.36 | |||
| O7W | 3 | – | 0.52 | |||
| O8W | 3 | – | 0.49 | |||
| O9W | 2 | – | 0.46 | |||
| O10W | 3 | – | 0.48 | |||
| O11W | 2 | – | 0.36 | |||
| O12W | 2 | – | 0.35 |
Acknowledgements
Dr Christian Litterscheid (Budenheim KG, Germany) kindly provided samples of Na3(PO4)(H2O)6. The authors acknowledge TU Wien Bibliothek for financial support through its Open Access Funding Program.
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