KCo(H₂O)₂BP₂O₈·0.48H₂O and K_0.17Ca_0.42Co(H₂O)₂BP₂O₈·H₂O: two cobalt borophosphates with helical ribbons and disordered (K,Ca)/H₂O schemes

The two title compounds, potassium diaqua­cobalt(II) borodiphosphate 0.48-hydrate and potassium–calcium(0.172/0.418) diaqua­cobalt(II) borodiphosphate monohydrate, were synthesized hydro­thermally. They are new members of the borophos­phate family characterized by _∞[BP₂O₈]³⁻ helices running along [001] and constructed of boron (Wyckoff position 6b, twofold axis) and phospho­rus tetra­hedra. The [CoBP₂O₈]⁻ anionic frameworks in the two materials are structurally similar and result from a connection in the ab plane between the CoO₄(H₂O)₂ coordination octa­hedra (6b position) and the helical ribbons. Nevertheless, the two structures differ in the disorder schemes of the K,Ca and H₂O species. The alkali cations in the structure of the pure potassium compound are disordered over three independent positions, one of them located on a 6b site. Its framework is characterized by double occupation of the tunnels by water mol­ecules located on twofold rotation axes (6b) and a fraction of alkali cations; its cell parameters, compared with those for the mixed K,Ca compound, show abnormal changes, presumably due to the disorder. For the K,Ca compound, the K and Ca cations are on twofold axes (6b) and the channels are occupied only by disordered solvent water mol­ecules. This shows that it is possible, due to the flexibility of the helices, to replace the alkali and alkaline earth cations while retaining the crystal framework.

S1. Comment

Borophosphates (BPOs), intermediate phases of A–M–B–P–O systems (where A is an alkali cation, H₃O⁺, NH₄⁺ or alkaline earth, and M is a transition metal cation), have attracted the attention of many scientists due to their particularly rich structural chemistry which is the source of many promising properties. For instance, the combination of phosphate and borate groups may provide exciting structural architectures and properties, and several BPOs have applications in the optical and petroleum industries, in catalysis, as ion-conductive solids, as corrosion protectors etc.

The main structural features of borophosphates are the diversity of connection modes between the PO₄ tetrahedra and the trigonal–planar or tetrahedrally coordinated B atoms, and the spectrum of BPO structures ranges from densely packed to microporous and organo-templated frameworks. Most varieties of BPOs belong to the family with the general formula A_xMBP₂O₈.yH₂O (x = 0–1 and y = 0.5–1), reported first by Kniep et al. (1997), who among other researchers proposed the classification, terminology and nomenclature of BPO structural chemistry (Kniep et al., 2004; Ewald et al., 2007). The anionic partial structure of these materials is composed of one-dimensional _∞[BP₂O₈]^3- helices wound around the sixfold screw axes, and the octahedral–tetrahedral framework is related to the zeolite CZP topology (Harrison et al., 1996). The possibility of realising de/rehydration processes in this class of compounds has also been reported (Boy, Stowasser et al., 2001). To date, the only potassium- and calcium-containing members are KFe(H₂O)₂BP₂O₈.0.5H₂O (Boy, Schäfer & Kniep, 2001) and Ca_0.5M(H₂O)₂BP₂O₈.H₂O (M = Fe, Co, Ni; Menezes et al., 2007, 2008a,b; Menezes, 2009). As for cobalt BPOs, we have reported already the structure of NaCoH₂BP₂O₉ obtained hydrothermally (Guesmi & Driss, 2004). The lithium– and sodium–cobalt members of the helical BPO family were reported previously (Heng-Zhen, Yong-Kui, Li-Yi & Yu-Yan, 2003; Menezes et al., 2008b). In addition, Zouihri et al. (2012) have recently reported the structure of (Ag_0.79Co_0.11)Co(H₂O)₂.BP₂O₈.0.67H₂O, where Co and Ag share the same site. We report here the structures of potassium and potassium–calcium cobalt borophosphates, KCo(H₂O)₂BP₂O₈.yH₂O (y ≈ 0.5), (I), and K_0.17Ca_0.42Co(H₂O)₂BP₂O₈.H₂O, (II), grown hydrothermally and characterized by qualitative energy-dispersive X-ray (EDX) spectroscopic analysis and single-crystal X-ray diffraction.

The two compounds emerged in the same batch and have similar shapes but different colours, purple and pink. The purple crystals, (I), are the major phase and the EDX analysis reveals the existence of K, Co, P and O elements. The pink crystals of (II), as a minor phase, contain calcium in addition, according to the same technique. The X-ray crystal structure determinations reveal that the anionic frameworks in the two compounds are composed of two unique tetrahedral P and B sites, one octahedral Co site and six O sites, two of which are coordinated and hydrate water molecules. The Co1—O1 distances (Table 1) are significantly different in (I) and (II).

Both structures are characterized by corner-sharing PO₄ and BO₄ tetrahedra, leading to the fundamental building unit (FBU) [BP₂O₈]^3-. The BO₄ tetrahedron shares two of its vertices with two PO₄ tetrahedra from the same FBU, and the other two with two P tetrahedra from two adjacent units. An infinite one-dimensional anionic ribbon then results, giving rise to a helical arrangement around the 6₅ screw axis. The phosphate groups occupy the borders of the ribbons, with two terminal O atoms acting as ligands to complete the coordination of the Co^II ions. The helices are interconnected via cobalt coordination octahedra along the a and b axis to form a tubular three-dimensional mixed framework, where each octahedron shares four O atoms with four phosphorus tetrahedra from two ribbons.

Although the [Co(H₂O)₂BP₂O₈]^- frameworks are structurally similar, their occupation by the alkali and alkaline earth cations and the solvent water molecules are different. This affects the lattice parameters, revealing significant differences between the two compounds. The first assignment of the structure of (I) seems to fit the BPO reported by Kniep et al. (1997), with parameters determined by powder X-ray diffraction (a = 9.48 and c = 15.83 Å). Although the volume is almost the same, the cell parameters differ slightly, with a compression and an expansion of the c and a parameters, respectively, compared with those already reported (Kniep et al., 1997). The contraction along the c axis observed in (H₃O)ZnBP₂O₈.3H₂O (Heng-Zhen, Yong-Kui, Ming-Yuan et al., 2003) is attributed to the existence of oxonium groups and hydrogen bonds; the same abnormal structure changes caused by hydrogen-bond interactions are also reported in the structure of (NH₄)CdBP₂O₈.2.72H₂O (Ming-Hui et al., 2005). The structural model corresponding to the existence of H atoms in the form of oxonium groups in the structure of (I) is thus to be verified.

With regard to the hydrate water content in the single potassium BPO in this family, KFe(H₂O)₂BP₂O₈.0.5H₂O (Boy, Schäfer & Kniep, 2001), tunnels are half-occupied by solvent water molecules. The refinement of the structure of (I) was thus devoted to determining the solvent water content and verifying the existence of a fraction of oxonium groups, a possibility which requires the existence of less than six alkali cations per unit cell. When all atoms of the anionic framework were located, four significant peaks with different heights appeared in the difference Fourier map. The highest electron density (in general position 12c) and that closest to it [closest in distance or next highest?] were assigned as partially occupied K⁺ cations; charge neutrality was not achieved yet. The last two positions, (6a) and (6b), both incompletely occupied, were attributed to the water molecules and alkali cations, respectively. However, the isotropic displacement parameter of the K⁺ ions in the (6b) position was abnormally high and again the charge was not balanced. If the last two attributions are inverted, the result corresponds to almost six alkali cations per unit cell, with one of the three alkali positions in the tunnels (K3). The result was improved significantly when the K3 cations were displaced from the special (6a) position to a general (12a) position, with exactly one alkali cation per unit formula; the problem of charge neutrality was resolved and the hypothesis of the existence of a fraction of oxonium was therefore dismissed. The (6b) position attributed to solvent water was refined freely to an occupancy of 0.48 (4) and no significant peaks were observed in the difference electron-density map. The result matches the formula KCo(H₂O)₂BP₂O₈.0.48H₂O (Fig. 1).

It has been reported in several cases (Engelhardt, 2000; Schäfer et al., 2002; Birsöz et al., 2007) that if the size of the monovalent cations (NH₄⁺, Rb⁺ or Cs⁺) is large enough, these entities shift to the tunnels and their total occupancies will be lower than one per unit formula. Thus, to achieve charge balance, the transition metal cation occupies a second position on the border of the ribbons. The hydrate water positions within the helical channels in all these structures are partially occupied. Compound (I) does not correspond to this case, as the metal cation is only octacoordinated. Another model frequently observed is double disorder of alkali or alkaline earth cations and solvent water at both the periphery and inside the ribbons, respectively. Although in (I) these two entities are disordered, to the best of our knowledge this is the only case where there is just one cobalt octahedron with a fraction of the alkali metal cations shifted to the tunnels at short distances from the water molecules, whose `territory' is now shared with a fraction of these cations (Fig. 2). It is worth noting that the structures of this family are characterized mainly by the flexibility of their BPO groups, which can then accommodate several species, charged or neutral and with different patterns of disorder.

If we plot the lattice parameters of cobalt compounds as a function of the radius of the alkali cations (Shannon, 1976) in the different materials (Fig. 3), we note that, in the Li and Na cases, these parameters change with the radius of these species with a c/a ratio of about 1.666. An exception is observed for (I): the c parameter is shorter and the a parameter longer, and this alters the c/a ratio to 1.642. The volume is not affected by these changes and, as in the other cases, it increases with the radius of the alkali cation. We can conclude that the occupancy of the cobalt anionic framework is dependent on the size of the monovalent cation. It is fully occupied by water molecules in the case of the small Li⁺ and Na⁺ cations. In the case of the intermediate-sized K⁺ ion, the tunnels are almost half-occupied by water molecules with a full occupancy for K⁺ ions. Finally, for the larger alkaline metal Rb⁺ and Cs⁺ ions, the two occupancies are less than unity (Engelhardt, 2000).

The reasons for the contraction along the c axis in (H₃O)ZnBP₂O₈.3H₂O (Heng-Zhen, Yong-Kui, Ming-Yuan et al., 2003) is attributed to the existence of oxonium. In the case of (I), it seems that the distribution of K⁺ cations with closed positions accompanied by oxygen attraction, with short K—O distances, `elongate' the unit cell in the ab plane and then the c axis decreases. The influence of other structure characteristics (hydrogen-bond network, cobalt environment etc.) cannot be excluded.

Refinement of (II) (Fig. 4) was quite straightforward. When correctly attributed, the two site occupancies of the K and Ca cations refine freely to values ensuring charge neutrality. The two cations occupy the free loops of the borophosphate helices and their two positions are 0.65 Å apart. Alkali cations populate the inner walls of the helices with shorter K—OW distances. The coordinated [and?] hydrate water molecules are involved in O—H···O hydrogen bonds (Table 2 and Fig. 4). The channels are filled up with disordered hydrate water molecules with two partially occupied positions.

The systematic investigation of the structures of alkaline earth and cobalt borophosphates has been presented elsewhere (Menezes et al., 2007, 2008a,b; Menezes, 2009). Compound (II) is the only mixed alkali–alkaline earth member. Compared with the pure calcium compound Ca_0.5CoBP₂O₈.3H₂O (Menezes, 2009), its structure reveals some differences: the cell parameters of (II) are slightly longer, mainly along the c direction, with a c/a ratio of 1.676, slightly higher than the pure calcium compound ratio of 1.661. These changes are due to the partial substitution of calcium by a cation with larger radius. The hydrate water molecules are not disordered in Ca_0.5CoBP₂O₈.3H₂O but they are disordered in (II) and the consequent hydrogen-bond network can also influence the crystal structure.

Related literature

For related literature, see: Birsöz et al. (2007); Boy, Schäfer & Kniep (2001); Boy, Stowasser, Schäfer & Kniep (2001); Engelhardt (2000); Ewald et al. (2007); Guesmi & Driss (2004); Harrison et al. (1996); Kniep et al. (1997, 2004); Menezes (2009); Menezes et al. (2007, 2008a, 2008b); Schäfer et al. (2002); Shannon (1976); Zouihri et al. (2012).

S2. Experimental

The title compounds were synthesized hydrothermally and the reaction was carried out in thick-walled Pyrex tubes. A mixture of KNO₃ (1.49 g), cobalt acetate tetrahydrate (1.84 g), H₃BO₃ (0.91 g) and H₃PO₄ (2 ml) was dissolved in deionized water (V_solution = 25 ml). The mixture was then heated at 453 K for four weeks, and the degrees of filling (30–50%) were modified to vary the autogenous pressure. Hexagonal pyramidal and bipyramidal purple crystals of (I) as the major phase, accompanied by some pink crystals of (II), were obtained in the most filled tube. A qualitative energy-dispersive X-ray (EDX) analysis revealed the presence of K, Co, P and O, with the calcium in the pink-coloured phase diffusing from the reaction container.

S3. Refinement

In (I), disorder of the coordinated water O atom was found and atoms O51/O52 were refined isotropically with complementary occupancy factors. Atoms K1, K2 and K3, and hydrate water atom O6, were also disordered and were treated isotropically. The H atoms were not located.

For (II), the H atoms associated with atom O5 of the coordinated water molecule were located in a difference Fourier map and refined with an O—H restraint of 0.85 (3) Å and with displacement parameters fixed at U_iso(H) = 1.5U_eq(O5). The two O6 sites belonging to the disordered hydrate water molecules were constrained to the same displacement parameters and the sum of their occupancies was restrained to 0.5, because the refined value was close to 0.50; their H atoms were not located. The K and Ca atoms were refined isotropically without any restraints.

Computing details

For both compounds, data collection: CAD-4 EXPRESS (Enraf–Nonius, 1995); cell refinement: CAD-4 EXPRESS (Enraf–Nonius, 1995); data reduction: XCAD4 (Harms & Wocadlo, 1995); program(s) used to solve structure: SHELXS97 (Sheldrick, 2008); program(s) used to refine structure: SHELXL97 (Sheldrick, 2008); molecular graphics: DIAMOND (Brandenburg, 2001); software used to prepare material for publication: WinGX (Farrugia, 1999) and publCIF (Westrip, 2010).

Figures

	Fig. 1. The linkage of the helices and location of the K/H2O entities in (I). The anionic framework is represented by coordination polyhedra.
	Fig. 2. The helical arrangements, viewed along [001], in the structures of (a) lithium (Menezes et al., 2008b), (b) sodium (Heng-Zhen, Yong-Kui, Li-Yi & Yu-Yan, 2003), (c) potassium, (I), and (d) rubidium (Engelhardt, 2000) cobalt borophosphates.
	Fig. 3. The dependence of a, c and V on A^+ (A = Li–K) alkali metal radius in hexagonal cobalt borophosphates.
	Fig. 4. A perspective view of part of the structure of (II). The anionic framework is represented by coordination polyhedra. The helices of disordered hydrate water molecules are shown. Hydrogen bonds are shown as dashed lines.

(I) Potassium diaquacobalt(II) catena-borodiphosphate 0.48-hydrate

Crystal data

KCo(H2O)2BP2O8·0.48H2O	Dx = 2.787 Mg m^−3
Mr = 343.46	Mo Kα radiation, λ = 0.71073 Å
Hexagonal, P6522	Cell parameters from 25 reflections
Hall symbol: P 65 2 ( 0 0 1)	θ = 11.4–15.0°
a = 9.5231 (14) Å	µ = 3.05 mm^−1
c = 15.633 (2) Å	T = 293 K
V = 1227.8 (3) Å^3	Prism, purple
Z = 6	0.26 × 0.26 × 0.20 mm
F(000) = 1019

Data collection

Enraf–Nonius CAD-4 diffractometer	891 reflections with I > 2σ(I)
Radiation source: fine-focus sealed tube	Rint = 0.024
Graphite monochromator	θmax = 27.0°, θmin = 2.5°
ω/2θ scans	h = −12→4
Absorption correction: ψ scan (North et al., 1968)	k = −1→12
Tmin = 0.505, Tmax = 0.581	l = −19→19
5187 measured reflections	2 standard reflections every 120 reflections
895 independent reflections	intensity decay: 4%

Refinement

Refinement on F^2	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Secondary atom site location: difference Fourier map
R[F^2 > 2σ(F^2)] = 0.037	w = 1/[σ^2(Fo^2) + (0.0279P)^2 + 9.9801P] where P = (Fo^2 + 2Fc^2)/3
wR(F^2) = 0.095	(Δ/σ)max < 0.001
S = 1.03	Δρmax = 0.62 e Å^−3
895 reflections	Δρmin = −0.42 e Å^−3
81 parameters	Absolute structure: Flack (1983), with 309 Friedel pairs
0 restraints	Absolute structure parameter: 0.05 (5)

Special details

Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes.

Refinement. Refinement of F² against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F², conventional R-factors R are based on F, with F set to zero for negative F². The threshold expression of F² > σ(F²) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F² are statistically about twice as large as those based on F, and R-factors based on ALL data will be even larger.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq	Occ. (<1)
Co1	0.45063 (6)	0.54937 (6)	0.0833	0.0175 (2)
P1	0.21823 (15)	0.38551 (15)	−0.08005 (8)	0.0141 (3)
B1	0.3023 (8)	0.1511 (4)	−0.0833	0.0119 (14)
O1	0.3768 (5)	0.5133 (5)	−0.0414 (2)	0.0230 (9)
O2	0.6855 (5)	0.6164 (5)	0.0453 (2)	0.0232 (8)
O3	0.1927 (4)	0.2131 (4)	−0.0648 (2)	0.0164 (7)
O4	0.4152 (4)	0.1794 (4)	−0.0116 (2)	0.0167 (7)
O51	0.4996 (17)	0.7950 (14)	0.0577 (10)	0.021 (4)*	0.47 (5)
O52	0.541 (2)	0.8241 (19)	0.0330 (13)	0.042 (4)*	0.53 (5)
K1	0.6838 (6)	0.0570 (6)	0.0830 (3)	0.0224 (16)*	0.239 (6)
K2	0.8189 (8)	0.1811 (8)	0.0833	0.070 (5)*	0.241 (11)
K3	0.884 (2)	0.012 (2)	0.0205 (10)	0.064 (6)*	0.140 (7)
O6	0.9141 (16)	0.0859 (16)	0.0833	0.098 (12)*	0.48 (4)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Co1	0.0191 (4)	0.0191 (4)	0.0166 (4)	0.0112 (4)	−0.0081 (3)	−0.0081 (3)
P1	0.0148 (6)	0.0116 (5)	0.0153 (5)	0.0061 (4)	−0.0078 (5)	−0.0021 (5)
B1	0.008 (3)	0.013 (3)	0.013 (3)	0.0039 (15)	0.000	0.010 (3)
O1	0.0239 (19)	0.0134 (18)	0.0218 (18)	0.0019 (16)	−0.0141 (16)	−0.0012 (15)
O2	0.0160 (19)	0.031 (2)	0.0226 (17)	0.0118 (17)	−0.0004 (15)	−0.0053 (17)
O3	0.0138 (17)	0.0127 (17)	0.0213 (18)	0.0057 (14)	0.0006 (13)	0.0025 (14)
O4	0.0118 (17)	0.0202 (18)	0.0148 (16)	0.0056 (14)	−0.0018 (13)	0.0052 (13)

Geometric parameters (Å, º)

Co1—O1	2.043 (3)	K1—K3^viii	2.726 (16)
Co1—O1^i	2.043 (3)	K2—K1^i	1.238 (5)
Co1—O2	2.083 (4)	K2—O6	1.57 (3)
Co1—O2^i	2.083 (4)	K2—O52^v	2.05 (2)
Co1—O51	2.182 (11)	K2—O52^vii	2.05 (2)
Co1—O51^i	2.182 (11)	K2—K3	2.22 (2)
Co1—O52	2.439 (17)	K2—K3^i	2.22 (2)
Co1—O52^i	2.439 (17)	K2—O51^v	2.519 (19)
P1—O2^ii	1.512 (4)	K2—O51^vii	2.519 (19)
P1—O1	1.513 (4)	K2—K3^viii	2.683 (19)
P1—O3	1.553 (4)	K2—K3^ix	2.683 (19)
P1—O4^iii	1.554 (3)	K2—O1^v	2.800 (11)
B1—O3	1.462 (5)	K3—K3^viii	0.67 (3)
B1—O3^iv	1.462 (5)	K3—O6	1.158 (16)
B1—O4	1.483 (5)	K3—O6^viii	1.814 (17)
B1—O4^iv	1.483 (5)	K3—K3^i	2.20 (3)
K1—K2	1.238 (5)	K3—K2^viii	2.683 (19)
K1—O6	2.07 (2)	K3—K1^viii	2.726 (16)
K1—O52^v	2.08 (2)	K3—O3^x	2.803 (18)
K1—O52^vi	2.088 (13)	K3—O52^vi	2.84 (3)
K1—O1^vii	2.208 (6)	K3—K1^i	2.838 (19)
K1—O51^vi	2.254 (12)	K3—O52^v	2.85 (3)
K1—O2^vii	2.269 (6)	O6—K3^i	1.158 (16)
K1—K3	2.363 (15)	O6—K3^viii	1.814 (17)
K1—K1^i	2.469 (10)	O6—K3^ix	1.814 (17)
K1—O51^v	2.566 (19)	O6—K1^i	2.07 (2)
K1—O52^vii	2.620 (18)
O1—Co1—O1^i	162.4 (2)	O51—Co1—O51^i	83.9 (8)
O1—Co1—O2	90.31 (15)	O2^ii—P1—O1	114.8 (2)
O1^i—Co1—O2	101.39 (15)	O2^ii—P1—O3	106.4 (2)
O1—Co1—O2^i	101.39 (15)	O1—P1—O3	110.8 (2)
O1^i—Co1—O2^i	90.31 (15)	O2^ii—P1—O4^iii	111.9 (2)
O2—Co1—O2^i	96.7 (2)	O1—P1—O4^iii	105.9 (2)
O1—Co1—O51	82.9 (3)	O3—P1—O4^iii	106.84 (19)
O1^i—Co1—O51	84.1 (4)	O3—B1—O3^iv	103.6 (5)
O2—Co1—O51	89.9 (4)	O3—B1—O4	112.10 (19)
O2^i—Co1—O51	172.1 (5)	O3^iv—B1—O4	113.62 (18)
O1—Co1—O51^i	84.1 (4)	O3—B1—O4^iv	113.62 (18)
O1^i—Co1—O51^i	82.9 (3)	O3^iv—B1—O4^iv	112.10 (19)
O2—Co1—O51^i	172.1 (5)	O4—B1—O4^iv	102.1 (5)
O2^i—Co1—O51^i	89.9 (4)

Symmetry codes: (i) −y+1, −x+1, −z+1/6; (ii) x−y, −y+1, −z; (iii) x−y, x, z−1/6; (iv) x, x−y, −z−1/6; (v) x−y+1, −y+1, −z; (vi) x, y−1, z; (vii) y, −x+y, z+1/6; (viii) x−y, −y, −z; (ix) y+1, −x+y+1, z+1/6; (x) x−y+1, −y, −z.

(II) Potassium calcium diaquacobalt(II) catena-borodiphosphate monohydrate

Crystal data

K0.17Ca0.42Co(H2O)2BP2O8·H2O	Dx = 2.722 Mg m^−3
Mr = 336.94	Mo Kα radiation, λ = 0.71073 Å
Hexagonal, P6522	Cell parameters from 25 reflections
Hall symbol: P 65 2 ( 0 0 1)	θ = 11.2–14.5°
a = 9.4720 (15) Å	µ = 2.88 mm^−1
c = 15.872 (6) Å	T = 293 K
V = 1233.2 (5) Å^3	Prism, pink
Z = 6	0.17 × 0.17 × 0.13 mm
F(000) = 1005

Data collection

Enraf–Nonius CAD-4 diffractometer	854 reflections with I > 2σ(I)
Radiation source: fine-focus sealed tube	Rint = 0.094
Graphite monochromator	θmax = 27.0°, θmin = 2.5°
ω/2θ scans	h = −12→10
Absorption correction: ψ scan (North et al., 1968)	k = −1→12
Tmin = 0.641, Tmax = 0.706	l = −1→20
3480 measured reflections	2 standard reflections every 120 reflections
902 independent reflections	intensity decay: 3%

Refinement

Refinement on F^2	Hydrogen site location: inferred from neighbouring sites
Least-squares matrix: full	Only H-atom coordinates refined
R[F^2 > 2σ(F^2)] = 0.026	w = 1/[σ^2(Fo^2) + (0.0254P)^2 + 1.9694P] where P = (Fo^2 + 2Fc^2)/3
wR(F^2) = 0.071	(Δ/σ)max < 0.001
S = 0.98	Δρmax = 0.61 e Å^−3
902 reflections	Δρmin = −0.60 e Å^−3
92 parameters	Extinction correction: SHELXL97 (Sheldrick, 2008), Fc^*=kFc[1+0.001xFc^2λ^3/sin(2θ)]^-1/4
3 restraints	Extinction coefficient: 0.0046 (5)
Primary atom site location: structure-invariant direct methods	Absolute structure: Flack (1983), with 311 Friedel pairs
Secondary atom site location: difference Fourier map	Absolute structure parameter: 0.01 (3)

Special details

Geometry. All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of e.s.d.'s in distances, angles and torsion angles; correlations between e.s.d.'s in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell e.s.d.'s is used for estimating e.s.d.'s involving l.s. planes.

Refinement. Refinement of F² against ALL reflections. The weighted R-factor wR and goodness of fit S are based on F², conventional R-factors R are based on F, with F set to zero for negative F². The threshold expression of F² > σ(F²) is used only for calculating R-factors(gt) etc. and is not relevant to the choice of reflections for refinement. R-factors based on F² are statistically about twice as large as those based on F, and R-factors based on ALL data will be even larger.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Ų)

	x	y	z	Uiso*/Ueq	Occ. (<1)
Co	0.44756 (3)	0.55244 (3)	0.0833	0.00868 (17)
P	0.21986 (9)	0.38868 (9)	−0.08133 (5)	0.00638 (19)
B	0.3045 (5)	0.1522 (3)	−0.0833	0.0069 (8)
O1	0.3790 (3)	0.5172 (3)	−0.04331 (13)	0.0116 (5)
O2	0.6836 (3)	0.6142 (3)	0.04701 (13)	0.0116 (4)
O3	0.1938 (3)	0.2142 (3)	−0.06638 (14)	0.0097 (5)
O4	0.4184 (3)	0.1826 (2)	−0.01242 (12)	0.0093 (4)
O5	0.5114 (3)	0.8039 (3)	0.05529 (15)	0.0172 (5)
H51	0.544 (6)	0.859 (5)	0.100 (2)	0.026*
H52	0.433 (4)	0.809 (6)	0.035 (3)	0.026*
Ca	0.7990 (3)	0.2010 (3)	0.0833	0.0419 (15)*	0.418 (10)
K	0.8386 (7)	0.1614 (7)	0.0833	0.031 (3)*	0.172 (10)
O61	0.975 (3)	0.110 (3)	0.143 (2)	0.045 (16)	0.214 (9)
O62	0.915 (2)	0.062 (3)	0.0635 (9)	0.045 (16)	0.286 (9)

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
Co	0.0087 (2)	0.0087 (2)	0.0088 (3)	0.0045 (2)	−0.00176 (19)	−0.00176 (19)
P	0.0074 (3)	0.0069 (3)	0.0055 (3)	0.0041 (3)	−0.0012 (3)	−0.0010 (3)
B	0.0086 (19)	0.0070 (15)	0.006 (2)	0.0043 (10)	0.000	−0.0003 (15)
O1	0.0116 (10)	0.0115 (11)	0.0086 (9)	0.0033 (9)	−0.0037 (9)	−0.0014 (9)
O2	0.0097 (11)	0.0153 (11)	0.0101 (9)	0.0065 (9)	−0.0013 (9)	−0.0015 (9)
O3	0.0095 (10)	0.0092 (11)	0.0122 (10)	0.0060 (8)	0.0033 (8)	0.0025 (8)
O4	0.0083 (10)	0.0132 (10)	0.0063 (9)	0.0054 (8)	−0.0011 (8)	0.0009 (8)
O5	0.0203 (12)	0.0173 (13)	0.0177 (11)	0.0122 (10)	−0.0075 (10)	−0.0030 (10)
O61	0.039 (11)	0.064 (13)	0.04 (5)	0.031 (10)	0.005 (15)	0.002 (14)
O62	0.039 (11)	0.064 (13)	0.04 (5)	0.031 (10)	0.005 (15)	0.002 (14)

Geometric parameters (Å, º)

Co—O1	2.087 (2)	Ca—O1^v	2.509 (4)
Co—O1^i	2.087 (2)	Ca—O1^vi	2.509 (4)
Co—O2	2.090 (2)	Ca—O61^vii	3.04 (3)
Co—O2^i	2.090 (2)	Ca—O61^viii	3.04 (3)
Co—O5	2.190 (3)	Ca—O2^v	3.070 (3)
Co—O5^i	2.190 (3)	K—O62	1.481 (19)
P—O1	1.511 (2)	K—O62^i	1.481 (19)
P—O2^ii	1.513 (2)	K—O61^i	1.85 (2)
P—O3	1.562 (2)	K—O61	1.85 (2)
P—O4^iii	1.571 (2)	K—O61^vii	2.55 (3)
B—O3	1.460 (3)	K—O61^viii	2.55 (3)
B—O3^iv	1.460 (3)	K—O5^v	2.626 (7)
B—O4	1.484 (3)	K—O5^vi	2.626 (7)
B—O4^iv	1.484 (3)	K—O2^v	2.989 (2)
Ca—K	0.649 (9)	K—O2^vi	2.989 (2)
Ca—O62	2.119 (16)	K—O1^v	3.009 (10)
Ca—O62^i	2.119 (16)	O61—O62^i	0.70 (2)
Ca—O5^v	2.357 (3)	O61—O61^viii	0.86 (6)
Ca—O5^vi	2.357 (3)	O61—O62	1.36 (5)
Ca—O61^i	2.42 (2)	O61—O62^ix	1.56 (5)
Ca—O61	2.42 (2)
O1—Co—O1^i	164.95 (13)	O5—Co—O5^i	90.72 (14)
O1—Co—O2	89.02 (8)	O1—P—O2^ii	114.95 (13)
O1^i—Co—O2	101.32 (9)	O1—P—O3	110.96 (13)
O1—Co—O2^i	101.32 (9)	O2^ii—P—O3	106.10 (13)
O1^i—Co—O2^i	89.02 (8)	O1—P—O4^iii	106.40 (12)
O2—Co—O2^i	93.63 (13)	O2^ii—P—O4^iii	111.36 (12)
O1—Co—O5	82.70 (9)	O3—P—O4^iii	106.85 (12)
O1^i—Co—O5	86.74 (9)	O3—B—O3^iv	103.1 (3)
O2—Co—O5	87.97 (10)	O3—B—O4	112.39 (12)
O2^i—Co—O5	175.69 (9)	O3^iv—B—O4	113.70 (12)
O1—Co—O5^i	86.74 (9)	O3—B—O4^iv	113.70 (12)
O1^i—Co—O5^i	82.70 (9)	O3^iv—B—O4^iv	112.39 (12)
O2—Co—O5^i	175.69 (9)	O4—B—O4^iv	102.0 (3)
O2^i—Co—O5^i	87.97 (10)

Symmetry codes: (i) −y+1, −x+1, −z+1/6; (ii) x−y, −y+1, −z; (iii) x−y, x, z−1/6; (iv) x, x−y, −z−1/6; (v) x−y+1, −y+1, −z; (vi) y, −x+y, z+1/6; (vii) x−y, x−1, z−1/6; (viii) −x+2, −x+y+1, −z+1/3; (ix) y+1, −x+y+1, z+1/6.

Hydrogen-bond geometry (Å, º)

D—H···A	D—H	H···A	D···A	D—H···A
O5—H52···O4^ii	0.83 (3)	1.95 (3)	2.762 (3)	168 (4)
O5—H51···O2^x	0.84 (3)	1.92 (3)	2.746 (3)	164 (5)

Symmetry codes: (ii) x−y, −y+1, −z; (x) y, −x+y+1, z+1/6.