K₃Ga₂(PO₄)₃ and Na₃Ga(PO₄)₂

The structures of tripotassium digallium tris(phosphate), K₃Ga₂(PO₄)₃, and tris­odium gallium bis(phosphate), Na₃­Ga(PO₄)₂, have different irregular one-dimensional alkali ion-containing channels along the a axis of the ortho­rhom­bic and triclinic unit cells, respectively. The anionic subsystems consist of vortex-linked PO₄ tetra­hedra and GaO₄ tetra­hedra or GaO₅ trigonal bipyramids in the first and second structure, respectively.

S1. Comment

Several sodium and potassium phosphates containing gallium are known, such as K₂Ga₂P₈O₂₄ (Palkina et al., 1979) and Na₃GaP₈O₂₃ (Palkina et al., 1993). A short overview of condensed phosphates of alkaline and trivalent metals was given by Grunze et al. (1990). Here, we report the structures of K₃Ga₂(PO₄)₃, (I), and Na₃Ga(PO₄)₂, (II). The structure of (I) appears to be isotypic with that of K₃Al₂(PO₄)₃ (Nandini Devi & Vidyasagar, 2000). It is noted that these structures are related to the NASICON super ionic conductors, such as Na₃Sc₂(PO₄)₃ (Susman et al., 1983) or Na₃Fe₂(PO₄)₃ (d'Yvoire et al., 1983).

Fig. 1 shows the constituent polyhedra for the structure of (I). Both trivalent Ga and pentavalent P are in tetrahedral coordination by O, with Ga—O distances ranging between 1.799 (4) and 1.820 (4) Å and P—O distances between 1.489 (4) and 1.597 (4) Å. The coordination environment of the three independent K atoms is variable and irregular. Atom K3 is approximately at the base of a tetrahedron formed by atoms O11, O13, O19 and O20, whereas atom K4 is sixfold and K5 sevenfold coordinated by O. The Brown criterion that a ligand should contribute at least 4% to the total bond-valence sum in order to be considered being bonded [Brown, 2002; calculations using VaList (Wills & Brown, 1999)] gives a maximum bonded distance of about 3.2 Å for K—O. Not including the K4—O13 distance [3.114 Å and a bond valence contribution (BVC) of 0.070] and the K4—O14 distance (3.21 Å, BVC 0.054) gives a bond-valence sum (BVS) for atom K4 of 0.991. For atom K5, the bond-valence calculations are less conclusive: in order to arrive at a BVS close to 1.00, the K5—O20 contribution [3.000 (5) Å, BVC 0.096, thus beyond the Brown criterion of 4%] should not be included. Somewhat arbitrarily, however, in Fig. 1 K—O bonds are drawn up to 3.0 Å, thus including the K4—O20 contact.

The constituent polyhedra for the structure of (II) are given in Fig. 2. The P environment is very similar to that in the structure of (I), with P—O distances in the range 1.488 (4)–1.576 (3) Å. The coordination of Ga, however, is not tetrahedral but trigonal bipyrimadal, with Ga—O distances in the range 1.840 (3)–1.968 (4) Å. The Na environment is like the K environment in (I), variable and irregular. There are six independent Na atoms, one fourfold coordinated, four fivefold coordinated and one sevenfold coordinated.

The crystallographic symmetry of the structures of compounds (I) and (II) is very different, Pna2₁ and P1, respectively, but their topology is quite similar. They consist of three-dimensional [Ga₂P₃O₁₂]^3- and [GaP₂O₈]^2- anionic frameworks for (I) and (II), respectively, with one-dimensional channels occupied by the countercations K⁺ and Na⁺. The anionic subsystem of (I) consists of an interconnected network of corner-sharing tetrahedra, where both types of tetrahedra, viz. GaO₄ and PO₄, are only connected to each other. Fig. 3 gives a view down the c axis, showing the irregularly shaped K⁺ one-dimensional channels of different size. The anionic famework of (II) consists of GaO₄ trigonal bipyramids which share all five corners with PO₄ tetrahedra. Fig. 4 gives a view down the a axis, showing different irregularly shaped one-dimensional Na⁺ channels. The largest tunnels are delimited by 12 vertex-linked GaO₄ trigonal bipyramids and PO₄ tetrahedra.

Related literature

For related literature, see: Beaurain et al. (2006); Brown (2002); Flack (1983); Grunze et al. (1990); Nandini & Vidyasagar (2000); Palatinus & Chapuis (2007); Palkina et al. (1979, 1993); Susman et al. (1983); Wills & Brown (1999); Yvoire et al. (1983).

S2. Experimental

The GaPO₄ compound with the α-quartz structure was obtained in powder form by dissolving 4 N Ga metal in nitric acid followed by precipitation with phosphoric acid, as described by Beaurain et al. (2006). K₂MoO₄ and Na₂PO₃F used as starting materials were commercial products (Fluka). The crystal growth experiments reported were carried out in air in a single temperature zone in an SiC resistance heater furnace and a Eurotherm temperature controller. For compound (I), 85 wt% of K₂MoO₄ was mixed with 15 wt% of α-GaPO₄ and homogenized in an agate mortar. For compound (II), 60 wt% of Na₂PO₃F was mixed with 40 wt% of GaPO₄. The mixtures were placed in Pt crucibles covered with a lid, heated from room temperature to 1223 K at a ramp rate of 150 K h^-1 and held at this temperature for 5 h for homogenization. The melted charges were then slowly cooled down at a rate of 2 K h^-1 to 873 K. After 5 h at 873 K, the charges were cooled to room temperature at 200 K h^-1.

S3. Refinement

Structure (I) was solved in space group P1 in 216 iterations using default values for the charge flipping parameters, followed by five low-density elimination cycles. The systematic reflection extinctions pointed to P2₁nb or Pmnb as possible space-group symmetries. The non-centrosymmetric space group P2₁nb prevaled over the centrosymmetric space group Pmnb since an analysis of the symmetry operations in the resulting electron-density map (Palatinus & Chapuis, 2007), i.e. before attribution of the atom types, showed that the m_x mirror plane and the inversion centre were clearly absent with agreement factors of 0.37 and 0.45, respectively (0.10, 0.03, and 0.07 for the 2₁ screw axis, the n-glide and the b-glide, respectively). The coordinates were subsequently transformed to those compatable with the standard setting of P2₁nb, viz. Pna2₁. The refined Flack (1983) parameter of (I) showed that the crystal was single-domain. The structure of (II) was solved in a similar way and the presence of the inversion centre was established on the basis of an analysis of the electron-density map before attribution of the atom types.

Computing details

For both compounds, data collection: CrysAlis CCD (Oxford Diffraction, 2007); cell refinement: CrysAlis RED (Oxford Diffraction, 2007); data reduction: CrysAlis RED (Oxford Diffraction, 2007); program(s) used to solve structure: SUPERFLIP (Palatinus & Chapuis, 2007); program(s) used to refine structure: CRYSTALS (Betteridge et al., 2003); molecular graphics: CAMERON (Watkin et al., 1996) and DRAWxtl (Finger et al., 2007); software used to prepare material for publication: CRYSTALS (Betteridge et al., 2003).

Figures

	Fig. 1. The full coordination environment around each unique metal centre in the asymmetric unit of (I). Symmetry codes are as given in Table 1. Displacement ellipsoids are drawn at the 75% level.
	Fig. 2. The full coordination environment around each unique metal centre in the asymmetric unit of (II). Symmetry codes are as given in Table 2. Displacement ellipsoids are drawn at the 75% level.
	Fig. 3. The polyhedral network of (I), viewed along the c axis. GaO4 tetrahedra are depicted with light shading and PO4 tetrahedra with medium shading.
	Fig. 4. The polyhedral network of (II), viewed along the a axis. GaO4 tetrahedra are depicted with light shading and PO4 tetrahedra with medium shading.

(I) tripotassium digallium triphosphate

Crystal data

K3Ga2(PO4)3	F(000) = 1040
Mr = 541.65	Dx = 2.907 Mg m^−3
Orthorhombic, Pna21	Mo Kα radiation, λ = 0.71073 Å
Hall symbol: P 2c -2n	Cell parameters from 13242 reflections
a = 8.67110 (15) Å	θ = 2.6–32.4°
b = 17.0109 (3) Å	µ = 5.81 mm^−1
c = 8.38857 (16) Å	T = 293 K
V = 1237.34 (4) Å^3	Prism, colourless
Z = 4	0.25 × 0.16 × 0.12 mm

Data collection

Oxford Diffraction Xcalibur diffractometer	3885 independent reflections
Radiation source: Enhance (Mo) X-ray Source	3024 reflections with I > 2σ(I)
Graphite monochromator	Rint = 0.032
Detector resolution: 8.4205 pixels mm^-1	θmax = 32.5°, θmin = 2.6°
ω scans	h = −12→12
Absorption correction: multi-scan [CrysAlis RED (Oxford Diffraction, 2007)] empirical (using intensity measurements) absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm]	k = −25→24
Tmin = 0.507, Tmax = 1.000	l = −11→12
24311 measured reflections

Refinement

Refinement on F^2	Primary atom site location: structure-invariant direct methods
Least-squares matrix: full	Method = Modified Sheldrick w = 1/[σ^2(F^2) + (0.04P)^2], where P = [max(Fo^2,0) + 2Fc^2]/3
R[F^2 > 2σ(F^2)] = 0.034	(Δ/σ)max = 0.001
wR(F^2) = 0.088	Δρmax = 1.32 e Å^−3
S = 0.98	Δρmin = −1.74 e Å^−3
3885 reflections	Absolute structure: Flack (1983), 1691 Friedel-pairs
182 parameters	Absolute structure parameter: 0.014 (15)
1 restraint

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

	x	y	z	Uiso*/Ueq
P1	0.15194 (16)	0.71520 (9)	1.28804 (18)	0.0072
P2	0.29802 (17)	0.81310 (9)	0.79667 (18)	0.0087
P3	0.26191 (18)	0.50328 (10)	0.86661 (19)	0.0107
K4	0.45271 (15)	0.64660 (8)	0.59513 (16)	0.0126
K5	0.00977 (15)	0.90013 (8)	1.12307 (16)	0.0142
K6	0.18095 (18)	0.51039 (8)	0.39470 (18)	0.0212
Ga7	0.13278 (6)	0.66831 (3)	0.94007 (10)	0.0080
Ga8	0.34700 (6)	0.84139 (3)	1.42835 (10)	0.0079
O9	0.2085 (5)	0.8010 (2)	1.2861 (5)	0.0103
O10	0.0312 (4)	0.7091 (2)	1.4225 (5)	0.0126
O11	0.2809 (5)	0.6573 (3)	1.3087 (5)	0.0148
O12	0.0625 (4)	0.7052 (3)	1.1300 (5)	0.0114
O13	0.1859 (6)	0.8666 (3)	0.8761 (6)	0.0226
O14	0.2647 (5)	0.8088 (3)	0.6167 (5)	0.0218
O15	0.2904 (5)	0.7266 (2)	0.8591 (5)	0.0164
O16	0.4661 (5)	0.8404 (3)	0.8104 (5)	0.0228
O17	0.2189 (5)	0.5732 (3)	0.9791 (5)	0.0143
O18	0.4055 (5)	0.4651 (2)	0.9277 (6)	0.0161
O19	0.1208 (5)	0.4443 (2)	0.8917 (5)	0.0169
O20	0.2674 (5)	0.5301 (3)	0.6966 (5)	0.0156

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
P1	0.0075 (6)	0.0074 (6)	0.0068 (6)	−0.0014 (6)	0.0001 (6)	−0.0001 (5)
P2	0.0107 (7)	0.0093 (7)	0.0061 (6)	0.0000 (6)	0.0011 (6)	0.0004 (6)
P3	0.0142 (7)	0.0060 (7)	0.0120 (6)	−0.0003 (6)	−0.0010 (6)	0.0003 (6)
K4	0.0117 (6)	0.0108 (6)	0.0154 (6)	0.0003 (5)	0.0008 (5)	0.0001 (5)
K5	0.0119 (6)	0.0192 (7)	0.0115 (5)	0.0002 (6)	−0.0004 (5)	0.0016 (5)
K6	0.0227 (7)	0.0143 (7)	0.0266 (8)	0.0019 (6)	−0.0056 (5)	−0.0007 (6)
Ga7	0.0083 (3)	0.0081 (3)	0.0076 (3)	0.0012 (2)	−0.0007 (3)	−0.0005 (3)
Ga8	0.0071 (2)	0.0092 (3)	0.0073 (3)	0.0001 (2)	0.0003 (3)	0.0004 (3)
O9	0.0125 (19)	0.0055 (19)	0.0129 (18)	−0.0025 (17)	−0.0041 (18)	0.0024 (17)
O10	0.0131 (18)	0.0157 (19)	0.0090 (18)	−0.0051 (16)	0.0009 (19)	−0.0029 (19)
O11	0.018 (2)	0.012 (2)	0.015 (2)	0.0042 (18)	−0.0009 (18)	0.0003 (19)
O12	0.0090 (18)	0.016 (2)	0.0094 (18)	0.0018 (17)	0.0001 (16)	−0.0056 (16)
O13	0.026 (3)	0.015 (2)	0.027 (2)	0.003 (2)	0.016 (2)	0.003 (2)
O14	0.016 (2)	0.039 (3)	0.0099 (18)	−0.005 (2)	0.0018 (19)	0.004 (2)
O15	0.019 (2)	0.010 (2)	0.020 (2)	−0.005 (2)	0.0024 (19)	−0.0004 (17)
O16	0.020 (2)	0.035 (3)	0.014 (2)	−0.006 (2)	−0.0088 (19)	0.009 (2)
O17	0.023 (2)	0.007 (2)	0.0126 (19)	0.0040 (19)	−0.0056 (18)	−0.0038 (15)
O18	0.0168 (19)	0.0145 (19)	0.017 (2)	0.0040 (16)	−0.005 (2)	−0.004 (2)
O19	0.017 (2)	0.0068 (19)	0.027 (3)	−0.0003 (17)	0.0070 (18)	0.0053 (17)
O20	0.017 (2)	0.018 (2)	0.013 (2)	−0.0022 (19)	0.0020 (18)	0.0006 (18)

Geometric parameters (Å, º)

P1—O9	1.540 (4)	K4—O11^vii	2.833 (4)
P1—O10	1.542 (4)	K4—O13^iv	3.114 (5)
P1—O11	1.500 (5)	K4—O14	3.210 (5)
P1—O12	1.546 (4)	K4—O14^iv	2.815 (5)
P2—O13	1.489 (5)	K4—O15	2.956 (5)
P2—O14	1.539 (5)	K4—O18^viii	2.663 (4)
P2—O15	1.563 (5)	K4—O20	2.690 (5)
P2—O16	1.534 (5)	K5—P3^v	3.342 (2)
P3—Ga8^i	2.9570 (18)	K5—O9	2.771 (4)
P3—O17	1.564 (4)	K5—O11^ii	2.706 (4)
P3—O18	1.495 (4)	K5—O12	3.348 (4)
P3—O19	1.596 (4)	K5—O13	2.636 (5)
P3—O20	1.498 (4)	K5—O17^ii	2.833 (4)
Ga7—O16^ii	1.815 (4)	K5—O18^v	2.879 (5)
Ga7—O12	1.817 (4)	K5—O18^ii	2.960 (4)
Ga7—O15	1.820 (4)	K5—O20^v	3.000 (5)
Ga7—O17	1.812 (4)	K6—O11^vii	2.742 (5)
Ga8—O14^iii	1.820 (4)	K6—O13^i	2.709 (5)
Ga8—O10^iv	1.815 (4)	K6—O16^i	3.239 (5)
Ga8—O19^v	1.798 (4)	K6—O19^ix	2.728 (5)
Ga8—O9	1.827 (4)	K6—O20	2.663 (4)
K4—O10^vi	2.930 (4)
O9—P1—O10	106.7 (2)	O14^iv—K4—O15	106.58 (13)
O9—P1—O11	112.7 (3)	O10^vi—K4—O18^viii	103.27 (13)
O10—P1—O11	112.2 (2)	O11^vii—K4—O18^viii	80.88 (14)
O9—P1—O12	104.8 (3)	O13^iv—K4—O18^viii	92.75 (14)
O10—P1—O12	106.2 (2)	O14—K4—O18^viii	151.31 (13)
O11—P1—O12	113.6 (2)	O14^iv—K4—O18^viii	77.44 (14)
O13—P2—O14	110.2 (3)	O10^vi—K4—O20	155.86 (13)
O13—P2—O15	113.4 (3)	O11^vii—K4—O20	90.11 (14)
O14—P2—O15	106.0 (3)	O13^iv—K4—O20	95.45 (13)
O13—P2—O16	113.7 (3)	O14—K4—O20	108.19 (13)
O14—P2—O16	105.5 (2)	O14^iv—K4—O20	138.78 (15)
O15—P2—O16	107.4 (3)	O15—K4—O18^viii	160.63 (13)
Ga8^i—P3—O17	121.78 (18)	O15—K4—O20	79.50 (13)
Ga8^i—P3—O18	78.53 (17)	O18^viii—K4—O20	85.24 (13)
O17—P3—O18	108.8 (3)	P3^v—K5—O9	69.47 (10)
Ga8^i—P3—O19	31.40 (16)	P3^v—K5—O11^ii	105.81 (10)
O17—P3—O19	102.5 (2)	O9—K5—O11^ii	87.26 (13)
O18—P3—O19	108.6 (2)	P3^v—K5—O12	115.37 (8)
Ga8^i—P3—O20	117.41 (19)	O9—K5—O12	45.91 (11)
O17—P3—O20	110.5 (3)	O11^ii—K5—O12	74.47 (12)
O18—P3—O20	115.6 (3)	P3^v—K5—O13	104.52 (12)
O19—P3—O20	110.0 (2)	O9—K5—O13	84.05 (15)
O16^ii—Ga7—O12	106.64 (18)	O11^ii—K5—O13	143.06 (15)
O16^ii—Ga7—O15	114.7 (2)	O12—K5—O13	73.76 (13)
O12—Ga7—O15	113.01 (19)	P3^v—K5—O17^ii	134.73 (10)
O16^ii—Ga7—O17	111.4 (2)	O9—K5—O17^ii	149.46 (13)
O12—Ga7—O17	106.73 (19)	O11^ii—K5—O17^ii	69.52 (13)
O15—Ga7—O17	104.2 (2)	O12—K5—O17^ii	106.71 (12)
O14^iii—Ga8—O10^iv	103.0 (2)	O13—K5—O17^ii	102.44 (15)
O14^iii—Ga8—O19^v	120.4 (2)	P3^v—K5—O18^v	26.49 (9)
O10^iv—Ga8—O19^v	108.65 (19)	O9—K5—O18^v	68.70 (12)
O14^iii—Ga8—P3^v	108.08 (17)	O11^ii—K5—O18^v	79.34 (12)
O10^iv—Ga8—P3^v	135.85 (13)	O12—K5—O18^v	109.26 (11)
O19^v—Ga8—P3^v	27.55 (14)	O13—K5—O18^v	129.25 (15)
O14^iii—Ga8—O9	101.2 (2)	P3^v—K5—O18^ii	96.47 (10)
O10^iv—Ga8—O9	112.54 (19)	O9—K5—O18^ii	159.12 (12)
O19^v—Ga8—O9	110.84 (19)	O11^ii—K5—O18^ii	112.00 (13)
P3^v—Ga8—O9	91.46 (13)	O12—K5—O18^ii	144.94 (12)
Ga8—O9—P1	124.0 (3)	O13—K5—O18^ii	84.78 (15)
Ga8^ii—O10—P1	130.5 (3)	P3^v—K5—O20^v	26.62 (8)
Ga7—O12—P1	128.5 (2)	O9—K5—O20^v	86.92 (12)
Ga8^vii—O14—P2	139.8 (3)	O11^ii—K5—O20^v	128.34 (13)
Ga7—O15—P2	132.1 (3)	O12—K5—O20^v	129.67 (12)
Ga7^iv—O16—P2	141.0 (3)	O13—K5—O20^v	87.01 (14)
Ga7—O17—P3	131.9 (3)	O17^ii—K5—O18^v	122.96 (13)
Ga8^i—O19—P3	121.0 (3)	O17^ii—K5—O18^ii	50.81 (11)
O10^vi—K4—O11^vii	69.45 (13)	O18^v—K5—O18^ii	105.79 (7)
O10^vi—K4—O13^iv	106.48 (12)	O17^ii—K5—O20^v	122.89 (13)
O11^vii—K4—O13^iv	171.18 (13)	O18^v—K5—O20^v	50.98 (11)
O10^vi—K4—O14	54.96 (11)	O18^ii—K5—O20^v	74.91 (12)
O11^vii—K4—O14	74.05 (12)	O11^vii—K6—O13^i	132.31 (16)
O13^iv—K4—O14	110.45 (12)	O11^vii—K6—O16^i	151.76 (13)
O10^vi—K4—O14^iv	65.33 (13)	O13^i—K6—O16^i	49.39 (13)
O11^vii—K4—O14^iv	122.85 (14)	O11^vii—K6—O19^ix	92.46 (13)
O13^iv—K4—O14^iv	49.22 (12)	O13^i—K6—O19^ix	131.57 (15)
O14—K4—O14^iv	104.64 (8)	O16^i—K6—O19^ix	82.70 (12)
O10^vi—K4—O15	95.46 (12)	O11^vii—K6—O20	92.66 (14)
O11^vii—K4—O15	110.80 (13)	O13^i—K6—O20	92.78 (15)
O13^iv—K4—O15	77.03 (12)	O16^i—K6—O20	115.53 (13)
O14—K4—O15	47.16 (12)	O19^ix—K6—O20	104.08 (14)

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

(II) trisodium gallium biphosphate

Crystal data

Na3Ga(PO4)2	Z = 4
Mr = 328.64	F(000) = 632
Triclinic, P1	Dx = 3.194 Mg m^−3
Hall symbol: -P 1	Mo Kα radiation, λ = 0.71073 Å
a = 8.8595 (3) Å	Cell parameters from 7076 reflections
b = 8.8773 (3) Å	θ = 2.8–32.4°
c = 9.1972 (3) Å	µ = 4.70 mm^−1
α = 88.970 (3)°	T = 293 K
β = 70.982 (3)°	Square plate, grey
γ = 87.949 (3)°	0.16 × 0.16 × 0.05 mm
V = 683.41 (4) Å^3

Data collection

Oxford Diffraction Xcalibur diffractometer	4355 independent reflections
Radiation source: Enhance (Mo) X-ray Source	2972 reflections with I > 2σ(I)
Graphite monochromator	Rint = 0.021
Detector resolution: 8.4205 pixels mm^-1	θmax = 32.5°, θmin = 2.8°
ω scans	h = −13→12
Absorption correction: multi-scan [CrysAlis RED (Oxford Diffraction, 2007); empirical (using intensity measurements) absorption correction using spherical harmonics, implemented in SCALE3 ABSPACK scaling algorithm]	k = −12→13
Tmin = 0.713, Tmax = 1.000	l = −13→13
13240 measured reflections

Refinement

Refinement on F^2	0 restraints
Least-squares matrix: full	Primary atom site location: structure-invariant direct methods
R[F^2 > 2σ(F^2)] = 0.043	Method = Modified Sheldrick, w = 1/[σ^2(F^2) + (0.09P)^2 + 0.01P], where P = [max(Fo^2,0) + 2Fc^2]/3
wR(F^2) = 0.138	(Δ/σ)max = 0.000367
S = 1.00	Δρmax = 3.29 e Å^−3
4355 reflections	Δρmin = −1.79 e Å^−3
253 parameters

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

	x	y	z	Uiso*/Ueq
P1	0.03084 (12)	0.09021 (12)	0.28901 (12)	0.0098
P2	0.27862 (13)	0.58821 (11)	0.01685 (12)	0.0086
P3	0.53414 (13)	0.92663 (11)	0.26700 (12)	0.0083
P4	0.71514 (12)	0.58554 (11)	0.45404 (12)	0.0074
Na5	0.6480 (2)	0.2403 (2)	0.3250 (3)	0.0227
Na6	0.3468 (3)	0.2494 (2)	0.1318 (3)	0.0281
Na7	0.9500 (2)	0.4186 (2)	0.1820 (2)	0.0179
Na8	0.9210 (3)	0.8266 (3)	0.1086 (3)	0.0326
Na9	0.1012 (2)	0.6971 (2)	0.4142 (2)	0.0215
Na10	0.3055 (2)	0.9074 (2)	0.0695 (2)	0.0197
Ga11	0.48246 (6)	0.58319 (5)	0.24474 (6)	0.0151
Ga12	0.74886 (6)	0.92008 (5)	0.48941 (6)	0.0109
O13	−0.0390 (4)	−0.0657 (3)	0.3563 (4)	0.0149
O14	−0.0964 (4)	0.2128 (3)	0.3468 (4)	0.0138
O15	0.0960 (4)	0.0772 (4)	0.1165 (4)	0.0240
O16	0.1756 (4)	0.1188 (5)	0.3420 (4)	0.0274
O17	0.2096 (4)	0.4335 (4)	0.0419 (4)	0.0194
O18	0.3155 (4)	0.6488 (4)	0.1577 (4)	0.0212
O19	0.1723 (4)	0.7055 (4)	−0.0273 (4)	0.0191
O20	0.4448 (4)	0.5810 (3)	−0.1156 (4)	0.0115
O21	0.3843 (4)	0.9157 (3)	0.4119 (4)	0.0175
O22	0.5097 (4)	1.0435 (4)	0.1573 (4)	0.0271
O23	0.5637 (5)	0.7718 (4)	0.1911 (4)	0.0259
O24	0.6828 (4)	0.9619 (4)	0.3077 (4)	0.0238
O25	0.6360 (4)	0.7371 (3)	0.5265 (4)	0.0195
O26	0.6325 (5)	0.5215 (5)	0.3472 (5)	0.0305
O27	0.6911 (5)	0.4724 (4)	0.5855 (4)	0.0316
O28	0.8876 (5)	0.6046 (5)	0.3677 (5)	0.0369

Atomic displacement parameters (Ų)

	U^11	U^22	U^33	U^12	U^13	U^23
P1	0.0062 (5)	0.0149 (5)	0.0074 (5)	0.0020 (4)	−0.0012 (4)	0.0013 (4)
P2	0.0076 (4)	0.0089 (4)	0.0103 (5)	0.0019 (3)	−0.0042 (4)	−0.0038 (4)
P3	0.0101 (5)	0.0063 (4)	0.0081 (5)	0.0020 (3)	−0.0025 (4)	0.0001 (3)
P4	0.0089 (5)	0.0059 (4)	0.0083 (5)	−0.0014 (3)	−0.0038 (4)	−0.0016 (3)
Na5	0.0144 (9)	0.0139 (9)	0.0397 (13)	−0.0002 (7)	−0.0091 (9)	0.0039 (8)
Na6	0.0145 (9)	0.0167 (10)	0.0484 (15)	−0.0023 (7)	−0.0046 (10)	0.0147 (9)
Na7	0.0147 (9)	0.0197 (9)	0.0165 (9)	−0.0030 (7)	−0.0008 (8)	−0.0022 (7)
Na8	0.0309 (12)	0.0505 (14)	0.0149 (10)	0.0232 (11)	−0.0074 (9)	−0.0060 (10)
Na9	0.0158 (9)	0.0289 (10)	0.0220 (10)	0.0075 (8)	−0.0097 (8)	−0.0104 (8)
Na10	0.0169 (9)	0.0140 (8)	0.0251 (11)	0.0007 (7)	−0.0026 (8)	−0.0017 (7)
Ga11	0.0190 (3)	0.0133 (2)	0.0132 (3)	0.00296 (18)	−0.0059 (2)	−0.00136 (18)
Ga12	0.0094 (2)	0.0098 (2)	0.0130 (2)	0.00012 (15)	−0.00310 (18)	−0.00068 (16)
O13	0.0127 (15)	0.0101 (13)	0.0185 (16)	−0.0008 (11)	−0.0003 (13)	−0.0014 (12)
O14	0.0111 (14)	0.0153 (14)	0.0145 (15)	0.0014 (11)	−0.0036 (12)	−0.0060 (12)
O15	0.0243 (19)	0.036 (2)	0.0077 (15)	0.0160 (15)	−0.0013 (14)	0.0003 (14)
O16	0.0129 (16)	0.049 (2)	0.026 (2)	−0.0162 (15)	−0.0140 (15)	0.0245 (17)
O17	0.0150 (16)	0.0119 (15)	0.0273 (19)	−0.0037 (12)	−0.0007 (14)	−0.0027 (13)
O18	0.0172 (16)	0.0330 (19)	0.0153 (16)	0.0136 (14)	−0.0089 (14)	−0.0122 (14)
O19	0.0203 (17)	0.0182 (16)	0.0239 (18)	0.0109 (13)	−0.0149 (15)	−0.0089 (13)
O20	0.0091 (13)	0.0092 (13)	0.0143 (15)	−0.0009 (10)	−0.0009 (12)	−0.0060 (11)
O21	0.0190 (16)	0.0106 (14)	0.0161 (16)	0.0044 (12)	0.0031 (13)	0.0025 (12)
O22	0.0202 (18)	0.0259 (18)	0.026 (2)	0.0097 (14)	0.0037 (15)	0.0187 (15)
O23	0.035 (2)	0.0139 (15)	0.0188 (18)	−0.0107 (14)	0.0071 (16)	−0.0102 (13)
O24	0.0243 (18)	0.039 (2)	0.0144 (17)	−0.0195 (16)	−0.0130 (15)	0.0020 (14)
O25	0.0193 (16)	0.0078 (13)	0.0230 (18)	−0.0029 (12)	0.0051 (14)	−0.0060 (12)
O26	0.040 (2)	0.033 (2)	0.029 (2)	0.0124 (18)	−0.0265 (19)	−0.0161 (17)
O27	0.037 (2)	0.0233 (18)	0.0217 (19)	0.0158 (16)	0.0061 (17)	0.0116 (15)
O28	0.0129 (17)	0.041 (2)	0.046 (3)	−0.0075 (16)	0.0070 (17)	−0.027 (2)

Geometric parameters (Å, º)

P1—Na10^i	3.044 (2)	Na6—O20^iv	2.390 (4)
P1—Na7^ii	3.192 (2)	Na6—Na10^iv	3.305 (3)
P1—Na9^iii	3.214 (2)	Na6—O15	2.783 (5)
P1—Na6	3.081 (2)	Na6—O16	2.348 (4)
P1—O13	1.569 (3)	Na6—O17	2.301 (4)
P1—O14	1.510 (3)	Na7—O14^vi	2.314 (4)
P1—O15	1.506 (3)	Na7—O19^iv	2.358 (4)
P1—O16	1.543 (4)	Na7—O17^vi	2.247 (4)
P2—Na7^iv	3.143 (2)	Na7—Na8^viii	3.350 (3)
P2—Na7^ii	3.225 (2)	Na7—O28	2.317 (4)
P2—Na10	2.914 (2)	Na8—O15^iv	2.273 (4)
P2—O17	1.507 (3)	Na8—O19^vi	2.395 (4)
P2—O18	1.545 (4)	Na8—O13^ix	2.619 (4)
P2—O19	1.517 (3)	Na8—O15^ix	2.772 (5)
P2—O20	1.575 (3)	Na8—O24	2.575 (5)
P3—Na5^v	3.108 (2)	Na9—O27^vii	2.336 (4)
P3—Na10	3.141 (2)	Na9—O14^iii	2.340 (4)
P3—O21	1.549 (3)	Na9—O28^ii	2.256 (4)
P3—O22	1.494 (3)	Na9—O13^v	2.543 (4)
P3—O23	1.528 (3)	Na9—Na10	3.619 (3)
P3—O24	1.525 (4)	Na9—O18	2.532 (4)
P4—Na7	3.051 (2)	Na10—O15^v	2.282 (4)
P4—O25	1.551 (3)	Na10—O22^x	2.239 (4)
P4—O26	1.531 (4)	Na10—O18	2.429 (4)
P4—O27	1.523 (4)	Na10—O19	2.508 (4)
P4—O28	1.489 (4)	Na10—O22	2.555 (5)
Na5—O14^vi	2.341 (4)	Ga11—O27^vii	1.873 (4)
Na5—O25^vii	2.444 (4)	Ga11—O20^iv	1.857 (3)
Na5—O24^i	2.481 (4)	Ga11—O18	1.966 (3)
Na5—O21^vii	2.703 (4)	Ga11—O23	1.841 (3)
Na5—O19^iv	2.726 (4)	Ga11—O26	1.923 (4)
Na5—O20^iv	2.781 (4)	Ga12—O16^vii	1.901 (4)
Na5—Ga12^i	3.422 (2)	Ga12—O21^xi	1.889 (3)
Na5—Na6	3.655 (3)	Ga12—O13^ix	1.886 (3)
Na5—Na7	3.055 (3)	Ga12—O24	1.968 (4)
Na5—O26	2.503 (4)	Ga12—O25	1.905 (3)
Na6—O22^i	2.344 (4)
Na10^i—P1—Na7^ii	118.11 (6)	P4—Na7—P1^vi	109.68 (7)
Na10^i—P1—Na9^iii	149.20 (7)	P2^iv—Na7—P1^vi	112.54 (6)
Na7^ii—P1—Na9^iii	71.05 (6)	P4—Na7—P2^vi	114.98 (6)
Na10^i—P1—Na6	62.02 (6)	P2^iv—Na7—P2^vi	113.91 (6)
Na7^ii—P1—Na6	71.42 (6)	P1^vi—Na7—P2^vi	109.16 (6)
Na9^iii—P1—Na6	97.91 (7)	P4—Na7—O28	28.21 (10)
Na10^i—P1—O13	85.97 (12)	P2^iv—Na7—O28	114.99 (14)
Na7^ii—P1—O13	145.31 (14)	P1^vi—Na7—O28	116.21 (15)
Na9^iii—P1—O13	101.64 (13)	P2^vi—Na7—O28	87.54 (11)
Na6—P1—O13	142.69 (13)	O15^iv—Na8—O19^vi	90.13 (14)
Na10^i—P1—O14	159.83 (15)	O15^iv—Na8—Na7^viii	67.23 (11)
Na7^ii—P1—O14	42.44 (13)	O19^vi—Na8—Na7^viii	44.73 (9)
Na9^iii—P1—O14	42.67 (13)	O15^iv—Na8—O13^ix	136.23 (17)
Na6—P1—O14	106.66 (14)	O19^vi—Na8—O13^ix	104.60 (14)
O13—P1—O14	109.29 (18)	Na7^viii—Na8—O13^ix	146.89 (11)
Na10^i—P1—O15	46.36 (14)	O15^iv—Na8—O15^ix	86.20 (16)
Na7^ii—P1—O15	78.24 (15)	O19^vi—Na8—O15^ix	86.06 (14)
Na9^iii—P1—O15	148.35 (16)	Na7^viii—Na8—O15^ix	120.62 (11)
Na6—P1—O15	64.35 (17)	O13^ix—Na8—O15^ix	54.89 (11)
O13—P1—O15	108.0 (2)	O15^iv—Na8—O24	101.84 (14)
Na10^i—P1—O16	75.29 (17)	O19^vi—Na8—O24	165.69 (15)
Na7^ii—P1—O16	102.12 (16)	Na7^viii—Na8—O24	147.99 (13)
Na9^iii—P1—O16	73.98 (17)	O13^ix—Na8—O24	61.26 (11)
Na6—P1—O16	48.02 (14)	O15^ix—Na8—O24	86.94 (13)
O13—P1—O16	108.4 (2)	O27^vii—Na9—O14^iii	89.60 (15)
O14—P1—O15	114.46 (19)	O27^vii—Na9—O28^ii	117.67 (19)
O14—P1—O16	110.5 (2)	O14^iii—Na9—O28^ii	124.09 (16)
O15—P1—O16	106.0 (2)	O27^vii—Na9—O13^v	159.33 (16)
Na7^iv—P2—Na7^ii	66.09 (6)	O14^iii—Na9—O13^v	92.69 (13)
Na7^iv—P2—Na10	104.55 (6)	O28^ii—Na9—O13^v	77.55 (15)
Na7^ii—P2—Na10	120.78 (6)	O27^vii—Na9—P1^iii	115.54 (13)
Na7^iv—P2—O17	74.59 (16)	O14^iii—Na9—P1^iii	25.93 (8)
Na7^ii—P2—O17	38.37 (13)	O28^ii—Na9—P1^iii	107.44 (12)
Na10—P2—O17	158.24 (15)	O13^v—Na9—P1^iii	68.57 (9)
Na7^iv—P2—O18	149.19 (13)	O27^vii—Na9—Na10	98.67 (12)
Na7^ii—P2—O18	101.05 (15)	O14^iii—Na9—Na10	119.22 (11)
Na10—P2—O18	56.42 (15)	O28^ii—Na9—Na10	104.51 (15)
O17—P2—O18	113.6 (2)	O13^v—Na9—Na10	62.46 (9)
Na7^iv—P2—O19	46.05 (13)	P1^iii—Na9—Na10	112.22 (7)
Na7^ii—P2—O19	84.62 (15)	O27^vii—Na9—O18	63.36 (13)
Na10—P2—O19	59.37 (14)	O14^iii—Na9—O18	135.32 (14)
O17—P2—O19	113.2 (2)	O28^ii—Na9—O18	100.38 (15)
O18—P2—O19	107.34 (19)	O13^v—Na9—O18	101.66 (13)
Na7^iv—P2—O20	99.52 (13)	P1^iii—Na9—O18	147.14 (12)
Na7^ii—P2—O20	145.69 (12)	Na10—Na9—O18	42.04 (10)
Na10—P2—O20	92.45 (12)	O15^v—Na10—O22^x	110.45 (15)
O17—P2—O20	109.21 (17)	O15^v—Na10—Na6^iv	155.57 (13)
O18—P2—O20	104.89 (18)	O22^x—Na10—Na6^iv	45.13 (10)
O19—P2—O20	108.17 (19)	O15^v—Na10—P2	123.19 (13)
Na5^v—P3—Na10	119.04 (6)	O22^x—Na10—P2	96.86 (12)
Na5^v—P3—O21	99.10 (14)	Na6^iv—Na10—P2	68.25 (6)
Na10—P3—O21	87.60 (15)	O15^v—Na10—P1^v	28.53 (9)
Na5^v—P3—O22	68.03 (18)	O22^x—Na10—P1^v	134.11 (12)
Na10—P3—O22	53.58 (18)	Na6^iv—Na10—P1^v	167.01 (9)
O21—P3—O22	111.24 (19)	P2—Na10—P1^v	121.64 (7)
Na5^v—P3—O23	151.94 (15)	O15^v—Na10—P3	118.15 (12)
Na10—P3—O23	72.75 (18)	O22^x—Na10—P3	96.16 (13)
O21—P3—O23	107.10 (19)	Na6^iv—Na10—P3	72.58 (6)
O22—P3—O23	110.1 (2)	P2—Na10—P3	106.55 (7)
Na5^v—P3—O24	52.05 (16)	P1^v—Na10—P3	95.58 (6)
Na10—P3—O24	158.88 (15)	O15^v—Na10—Na9	91.10 (11)
O21—P3—O24	111.9 (2)	O22^x—Na10—Na9	157.93 (12)
O22—P3—O24	109.2 (2)	Na6^iv—Na10—Na9	113.17 (7)
O23—P3—O24	107.2 (2)	P2—Na10—Na9	66.07 (5)
Na7—P4—O25	148.57 (14)	P1^v—Na10—Na9	67.85 (5)
Na7—P4—O26	67.91 (16)	O15^v—Na10—O18	130.38 (15)
O25—P4—O26	112.1 (2)	O22^x—Na10—O18	114.04 (14)
Na7—P4—O27	102.91 (15)	Na6^iv—Na10—O18	71.67 (10)
O25—P4—O27	106.9 (2)	P2—Na10—O18	32.00 (9)
O26—P4—O27	106.1 (3)	P1^v—Na10—O18	111.77 (11)
Na7—P4—O28	47.36 (15)	O15^v—Na10—O19	95.08 (15)
O25—P4—O28	110.5 (2)	O22^x—Na10—O19	96.07 (16)
O26—P4—O28	109.6 (2)	Na6^iv—Na10—O19	88.15 (10)
O27—P4—O28	111.7 (3)	P2—Na10—O19	31.36 (8)
O14^vi—Na5—O25^vii	143.49 (16)	P1^v—Na10—O19	104.46 (10)
O14^vi—Na5—O24^i	80.49 (13)	O15^v—Na10—O22	103.60 (15)
O25^vii—Na5—O24^i	100.04 (13)	O22^x—Na10—O22	79.26 (17)
O14^vi—Na5—O21^vii	73.34 (13)	Na6^iv—Na10—O22	75.62 (10)
O25^vii—Na5—O21^vii	74.81 (13)	P2—Na10—O22	130.54 (11)
O24^i—Na5—O21^vii	62.36 (11)	P1^v—Na10—O22	91.42 (10)
O14^vi—Na5—O19^iv	80.43 (12)	P3—Na10—Na9	76.80 (6)
O25^vii—Na5—O19^iv	135.16 (14)	P3—Na10—O18	77.83 (10)
O24^i—Na5—O19^iv	95.39 (13)	Na9—Na10—O18	44.28 (9)
O21^vii—Na5—O19^iv	147.74 (12)	P3—Na10—O19	137.40 (11)
O14^vi—Na5—P3^i	109.22 (10)	Na9—Na10—O19	76.70 (10)
O25^vii—Na5—P3^i	79.28 (9)	O18—Na10—O19	59.93 (12)
O24^i—Na5—P3^i	29.00 (9)	P3—Na10—O22	28.07 (8)
O21^vii—Na5—P3^i	75.69 (9)	Na9—Na10—O22	100.82 (11)
O19^iv—Na5—P3^i	96.12 (10)	O18—Na10—O22	105.13 (14)
O14^vi—Na5—O20^iv	127.46 (13)	O19—Na10—O22	161.23 (14)
O25^vii—Na5—O20^iv	82.77 (12)	O27^vii—Ga11—O20^iv	109.57 (16)
O24^i—Na5—O20^iv	123.88 (13)	O27^vii—Ga11—O18	83.71 (17)
O21^vii—Na5—O20^iv	157.56 (12)	O20^iv—Ga11—O18	95.47 (14)
O19^iv—Na5—O20^iv	54.09 (10)	O27^vii—Ga11—O23	128.44 (16)
O14^vi—Na5—Ga12^i	60.55 (9)	O20^iv—Ga11—O23	121.66 (14)
O25^vii—Na5—Ga12^i	99.64 (10)	O18—Ga11—O23	85.99 (18)
O24^i—Na5—Ga12^i	34.52 (8)	O27^vii—Ga11—O26	91.83 (19)
O21^vii—Na5—Ga12^i	33.39 (7)	O20^iv—Ga11—O26	88.00 (15)
O19^iv—Na5—Ga12^i	116.02 (9)	O18—Ga11—O26	175.07 (16)
O14^vi—Na5—Na6	156.82 (13)	O23—Ga11—O26	95.18 (19)
O25^vii—Na5—Na6	59.41 (11)	O16^vii—Ga12—O21^xi	93.19 (17)
O24^i—Na5—Na6	92.92 (10)	O16^vii—Ga12—O13^ix	90.20 (15)
O21^vii—Na5—Na6	123.17 (10)	O21^xi—Ga12—O13^ix	125.21 (14)
O19^iv—Na5—Na6	78.08 (10)	O16^vii—Ga12—Na5^v	134.24 (14)
O14^vi—Na5—Na7	48.62 (10)	O21^xi—Ga12—Na5^v	51.94 (11)
O25^vii—Na5—Na7	143.90 (11)	O13^ix—Ga12—Na5^v	89.25 (10)
O24^i—Na5—Na7	115.95 (12)	O16^vii—Ga12—O24	176.89 (15)
O21^vii—Na5—Na7	118.64 (11)	O21^xi—Ga12—O24	88.44 (16)
O19^iv—Na5—Na7	47.73 (9)	O13^ix—Ga12—O24	86.70 (15)
O14^vi—Na5—O26	95.17 (14)	Na5^v—Ga12—O24	45.59 (12)
O25^vii—Na5—O26	83.11 (14)	O16^vii—Ga12—O25	91.31 (17)
O24^i—Na5—O26	175.63 (15)	O21^xi—Ga12—O25	111.30 (14)
O21^vii—Na5—O26	116.00 (14)	O13^ix—Ga12—O25	123.27 (13)
O19^iv—Na5—O26	84.36 (14)	Na5^v—Ga12—O25	126.05 (12)
P3^i—Na5—O20^iv	101.19 (9)	O24—Ga12—O25	90.56 (16)
P3^i—Na5—Ga12^i	58.74 (4)	Ga12^xii—O13—Na9^i	103.96 (14)
O20^iv—Na5—Ga12^i	158.40 (10)	Ga12^xii—O13—Na8^xii	98.15 (14)
P3^i—Na5—Na6	64.92 (5)	Na9^i—O13—Na8^xii	94.83 (12)
O20^iv—Na5—Na6	40.83 (7)	Ga12^xii—O13—P1	121.22 (18)
Ga12^i—Na5—Na6	122.76 (6)	Na9^i—O13—P1	130.02 (18)
P3^i—Na5—Na7	134.98 (8)	Na8^xii—O13—P1	98.49 (17)
O20^iv—Na5—Na7	79.60 (9)	Na7^ii—O14—Na9^iii	106.22 (14)
Ga12^i—Na5—Na7	108.27 (7)	Na7^ii—O14—Na5^ii	82.01 (13)
Na6—Na5—Na7	118.19 (8)	Na9^iii—O14—Na5^ii	109.48 (14)
P3^i—Na5—O26	155.38 (12)	Na7^ii—O14—P1	111.44 (18)
O20^iv—Na5—O26	59.33 (11)	Na9^iii—O14—P1	111.39 (18)
Ga12^i—Na5—O26	142.20 (12)	Na5^ii—O14—P1	130.46 (19)
Na6—Na5—O26	91.30 (11)	Na10^i—O15—Na8^iv	110.17 (15)
Na7—Na5—O26	60.80 (12)	Na10^i—O15—P1	105.11 (19)
O22^i—Na6—O20^iv	90.85 (15)	Na8^iv—O15—P1	144.4 (2)
O22^i—Na6—Na10^iv	42.61 (10)	Na10^i—O15—Na8^xii	84.20 (13)
O20^iv—Na6—Na10^iv	70.53 (9)	Na8^iv—O15—Na8^xii	93.80 (16)
O22^i—Na6—P1	94.72 (11)	P1—O15—Na8^xii	93.97 (19)
O20^iv—Na6—P1	155.62 (13)	Na10^i—O15—Na6	76.37 (13)
Na10^iv—Na6—P1	127.49 (8)	Na8^iv—O15—Na6	97.47 (16)
O22^i—Na6—Na5	52.48 (12)	P1—O15—Na6	86.46 (18)
O20^iv—Na6—Na5	49.54 (10)	Na8^xii—O15—Na6	159.95 (15)
Na10^iv—Na6—Na5	65.37 (7)	Na6—O16—Ga12^vii	116.42 (17)
P1—Na6—Na5	118.21 (8)	Na6—O16—P1	102.73 (19)
O22^i—Na6—O15	95.43 (14)	Ga12^vii—O16—P1	140.8 (2)
O20^iv—Na6—O15	171.63 (14)	Na6—O17—Na7^ii	107.27 (16)
Na10^iv—Na6—O15	110.77 (10)	Na6—O17—P2	116.9 (2)
P1—Na6—O15	29.19 (7)	Na7^ii—O17—P2	117.04 (19)
Na5—Na6—O15	138.79 (10)	Ga11—O18—Na10	119.71 (18)
O22^i—Na6—O16	77.96 (15)	Ga11—O18—Na9	95.57 (14)
O20^iv—Na6—O16	131.24 (17)	Na10—O18—Na9	93.68 (13)
Na10^iv—Na6—O16	119.68 (13)	Ga11—O18—P2	129.5 (2)
P1—Na6—O16	29.25 (9)	Na10—O18—P2	91.58 (18)
Na5—Na6—O16	89.06 (12)	Na9—O18—P2	122.8 (2)
O22^i—Na6—O17	165.35 (18)	Na7^iv—O19—Na8^ii	89.65 (14)
O20^iv—Na6—O17	90.86 (13)	Na7^iv—O19—Na10	160.13 (18)
Na10^iv—Na6—O17	125.15 (13)	Na8^ii—O19—Na10	88.05 (13)
P1—Na6—O17	89.68 (11)	Na7^iv—O19—P2	106.37 (17)
Na5—Na6—O17	136.04 (12)	Na8^ii—O19—P2	133.9 (2)
O15—Na6—O16	55.90 (12)	Na10—O19—P2	89.27 (16)
O15—Na6—O17	81.68 (13)	Na7^iv—O19—Na5^iv	73.45 (12)
O16—Na6—O17	111.39 (15)	Na8^ii—O19—Na5^iv	125.95 (15)
O14^vi—Na7—Na5	49.37 (9)	Na10—O19—Na5^iv	92.06 (13)
O14^vi—Na7—O19^iv	89.34 (13)	P2—O19—Na5^iv	100.18 (17)
Na5—Na7—O19^iv	58.82 (11)	Na6^iv—O20—Ga11^iv	112.02 (15)
O14^vi—Na7—O17^vi	111.87 (14)	Na6^iv—O20—P2	122.83 (17)
Na5—Na7—O17^vi	151.82 (12)	Ga11^iv—O20—P2	123.59 (18)
O19^iv—Na7—O17^vi	106.34 (15)	Na6^iv—O20—Na5^iv	89.63 (12)
O14^vi—Na7—Na8^viii	87.29 (10)	Ga11^iv—O20—Na5^iv	96.05 (13)
Na5—Na7—Na8^viii	90.77 (8)	P2—O20—Na5^iv	96.42 (15)
O19^iv—Na7—Na8^viii	45.62 (10)	Ga12^xi—O21—P3	125.44 (19)
O17^vi—Na7—Na8^viii	65.11 (11)	Ga12^xi—O21—Na5^vii	94.68 (14)
O14^vi—Na7—P4	84.71 (10)	P3—O21—Na5^vii	128.36 (18)
Na5—Na7—P4	68.73 (6)	Na6^v—O22—Na10^x	92.26 (14)
O19^iv—Na7—P4	113.96 (11)	Na6^v—O22—Na10	80.09 (14)
O17^vi—Na7—P4	136.58 (12)	Na10^x—O22—Na10	100.74 (17)
Na8^viii—Na7—P4	158.23 (8)	Na6^v—O22—P3	144.0 (2)
O14^vi—Na7—P2^iv	109.20 (10)	Na10^x—O22—P3	123.0 (2)
Na5—Na7—P2^iv	65.34 (6)	Na10—O22—P3	98.4 (2)
O19^iv—Na7—P2^iv	27.59 (8)	Ga11—O23—P3	135.4 (2)
O17^vi—Na7—P2^iv	113.80 (12)	Ga12—O24—Na5^v	99.89 (15)
Na8^viii—Na7—P2^iv	67.58 (6)	Ga12—O24—Na8	97.44 (17)
O14^vi—Na7—P1^vi	26.12 (8)	Na5^v—O24—Na8	123.22 (16)
Na5—Na7—P1^vi	68.42 (6)	Ga12—O24—P3	133.5 (2)
O19^iv—Na7—P1^vi	86.21 (10)	Na5^v—O24—P3	99.0 (2)
O17^vi—Na7—P1^vi	87.89 (11)	Na8—O24—P3	106.85 (19)
Na8^viii—Na7—P1^vi	66.85 (6)	Na5^vii—O25—Ga12	115.87 (15)
O14^vi—Na7—P2^vi	129.34 (11)	Na5^vii—O25—P4	121.76 (18)
Na5—Na7—P2^vi	176.26 (8)	Ga12—O25—P4	122.1 (2)
O19^iv—Na7—P2^vi	118.68 (12)	Ga11—O26—Na5	103.84 (17)
O17^vi—Na7—P2^vi	24.59 (8)	Ga11—O26—P4	139.8 (2)
Na8^viii—Na7—P2^vi	85.61 (7)	Na5—O26—P4	115.2 (2)
O14^vi—Na7—O28	97.52 (16)	Na9^vii—O27—Ga11^vii	105.10 (16)
Na5—Na7—O28	96.09 (12)	Na9^vii—O27—P4	119.7 (2)
O19^iv—Na7—O28	138.89 (16)	Ga11^vii—O27—P4	135.0 (2)
O17^vi—Na7—O28	108.37 (15)	Na7—O28—Na9^vi	114.29 (17)
Na8^viii—Na7—O28	173.12 (13)	Na7—O28—P4	104.4 (2)
P4—Na7—P2^iv	96.09 (6)	Na9^vi—O28—P4	137.1 (3)

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