research communications
Synthesis and of NaRbB5O8(OH)·H2O
aKey Laboratory of the Ministry of Education for Advanced Catalysis Materials, Institute of Physical Chemistry, Zhejiang Normal University, Jinhua, Zhejiang 321004, People's Republic of China
*Correspondence e-mail: [email protected]
A new mixed alkali-metal borate, poly[[sodium rubidium [hydroxidoocta-μ-oxidopentaborate] monohydrate], NaRbB5O8(OH)·H2O, has been synthesized via a surfactant-thermal method using H3BO3, Rb2CO3, Na2SiO3·9H2O, ethanediamine and poly(ethylene glycol)-400 as starting materials. It features a layered boron-oxide framework constructed from pentaborate [B5O10(OH)]6− building units. Adjacent single layers are interconnected to form double layers through hydrogen-bonding interactions. Na+, Rb+ cations and H2O molecules are located in the voids of the framework.
Keywords: alkali-metal borate; pentaborate unit; surfactant-thermal synthesis; hydrogen bond; crystal structure.
CCDC reference: 2543102
1. Chemical context
Crystalline metal borates are widely recognized as promising non-linear optical materials in the ultraviolet region (Zhang et al., 2026
; Li et al., 2023a
,b
,c
; Lu et al., 2024
; Tian et al., 2013
; Chen et al., 2024a
, 2025
; Wang et al., 2017
, 2025
; Wei et al., 2016
; Yu et al., 2017
; Zhao et al., 2025
, 2026
; Zou et al., 2026a
). Boron can adopt either three- or four-coordinate geometries with oxygen atoms. Corner-sharing oxygen linkages between planar BO3 triangles and tetrahedral BO4 units enable the construction of various polyborate anions (Mutailipu et al., 2021
), including [B3O3(OH)4]−, [B4O5(OH)4]2−, [B7O12(OH)14]7−, and [B12O18(OH)6]6− (Lin et al., 2011
; Huang et al., 2019
; Chen et al., 2024c
). Pentaborate units typically serve as fundamental building blocks. Various arrangements of BO3 triangles, BO4 tetrahedra, as well as [B5On] (n= 10–12, 14) and hydroxylated [B5On(OH)m] units, have been observed (Wei et al., 2014
; Ding et al., 2018
). These pentaborate anions are further interconnected to construct chains, layers, and three-dimensional frameworks with rich structural diversity (Li et al., 2024
; Shi et al., 2019
; Zhao et al., 2022
, 2024
; Chen et al., 2024b
). In such crystal structures, alkali and alkaline-earth metal cations reside in interstitial voids to balance the overall charge of the polyborate anionic frameworks.
Borosilicates are new types of non-linear optical materials that combine different anionic groups (Ou et al., 2025
). Our initial synthetic strategy was aimed at the exploration of new borosilicate crystals. However, the targeted borosilicate phase was not obtained under the applied synthetic conditions, and a pure borate compound was ultimately isolated instead. Herein, we report the synthesis and single-crystal structural characterization of a new mixed alkali-metal pentaborate, NaRbB5O8(OH)·H2O, (I)
.
2. Structural commentary
The title compound crystallizes in the triclinic P. The asymmetric unit of (I)
consists of five boron atoms, ten oxygen atoms, three hydrogen atoms, one Na+ cation and one Rb+ cation. As shown in Fig. 1
, the fundamental building block of (I)
is the [B5O10(OH)]6− unit, which is composed of two [BO3] triangles, two [BO4] tetrahedra and one [BO2(OH)] group. The B—O bond lengths fall in the range 1.344 (3)–1.506 (3) Å (Table 1
). Each [B5O10(OH)]6− unit links to four adjacent equivalents, generating a two-dimensional layered structure containing nine-membered ring windows in the ab plane (Fig. 2
).
|
| Figure 1 Structure of (I) |
| Figure 2 Two-dimensional layered structure of (I) |
Adjacent single layers are connected into double layers through O—H⋯O hydrogen-bonding interactions between the hydroxyl group (O1) and oxygen atom (O2) of the [B5O10(OH)]6− units. Hydrogen-bonding interactions also exist between the water molecule (O10) and hydroxyl group (O1) in the anionic framework. The corresponding O⋯O hydrogen-bond distances range from 2.869 (3) to 2.916 (3) Å (Table 2
). Its hydrogen-bonding interactions are highly analogous to those of the isotypic protonated borate NaKB5O8(OH)·H2O (Li et al., 2024
). These hydrogen-bonded double layers further stack parallel to one another along the c axis. Na+ ions and water molecules reside in the interlayer voids within the double layers, whereas Rb+ ions occupy the voids between adjacent double layers. The Na+ and Rb+ ions are six- and nine-coordinated, respectively, with Na—O distances of 2.320 (2)–2.773 (3) Å and Rb—O distances of 2.8044 (18)–3.1981 (19) Å (Table 1
). These cations occupy the voids of the framework to maintain overall charge balance (Fig. 3
).
| ||||||||||||||||||||||
| Figure 3 View of the three-dimensional packing structure of (I) |
3. Database survey
An online search of the Inorganic Database (ICSD, version 5.6.0, updated January 2026, Zagorac et al., 2019
) for alkali-metal compounds incorporating the [B5O10(OH)]6− moiety returned seven hits: NaKB5O8(OH)·H2O (triclinic, P Li et al., 2024
), LiRbB5O8(OH)·H2O (monoclinic, P21/n Shi et al., 2019
), K2B5O8(OH)·2H2O (orthorhombic, Pna21 Shi et al., 2019
), Rb2B5O8(OH) (orthorhombic, Pca21 Qiu et al., 2021
), LiCsB5O8(OH)·H2O (monoclinic, P21/c Chen et al., 2017
), LiKB5O8(OH)·1.5H2O (orthorhombic, C2221 Li et al., 2019
), and Na2B5O8(OH)·2H2O (orthorhombic, Pna21 Wang et al., 2009
). In addition, we have recently reported another pentaborate, NaCsB5O8(OH)·H2O (orthorhombic, Pbca Zou et al., 2026b
). Compound (I)
is isostructural with NaKB5O8(OH)·H2O, and they share the same space group and similar cell parameters. The other seven reported compounds share similar layered structural features and the common [B5O10(OH)]6− building unit. Differences in alkali metal cations and space groups lead to the structural uniqueness of compound (I)
.
4. Synthesis and crystallization
A mixture of H3BO3 (0.6183 g, 10 mmol), Rb2CO3 (0.2308 g, 1 mmol), Na2SiO3·9H2O (0.2842 g, 1 mmol), ethanediamine (1 ml), and poly(ethylene glycol)-400 (4 ml) was sealed in a 30 ml Teflon-lined bomb at 453 K for 6 days and then cooled to room temperature over 6 hours. Colorless crystals of (I)
were obtained by filtration, washed with distilled water, and dried in air.
5. Refinement
Crystal data, data collection and structure details are summarized in Table 3
. H atoms bonded to O atoms were positioned geometrically and refined using a riding model [Ohydroxyl—H = 0.82 Å and Owater—H = 0.84 Å, Uiso(H) = 1.2 Ueq(O)].
|
Supporting information
CCDC reference: 2543102
contains datablocks I, new. DOI: https://doi.org/10.1107/S2056989026007140/ev2027sup1.cif
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2056989026007140/ev2027Isup3.hkl
| NaRbB5O8(OH)·H2O | Z = 2 |
| Mr = 325.53 | F(000) = 312 |
| Triclinic, P1 | Dx = 2.495 Mg m−3 |
| a = 6.6580 (4) Å | Mo Kα radiation, λ = 0.71073 Å |
| b = 6.6744 (4) Å | Cell parameters from 5543 reflections |
| c = 11.5322 (6) Å | θ = 3.5–27.5° |
| α = 79.094 (2)° | µ = 5.80 mm−1 |
| β = 77.508 (2)° | T = 287 K |
| γ = 60.492 (2)° | Block, clear colourless |
| V = 433.37 (4) Å3 | 0.13 × 0.12 × 0.10 mm |
| Bruker APEXII area detector diffractometer | 1863 reflections with I > 2σ(I) |
| ω scans | Rint = 0.035 |
| Absorption correction: empirical (using intensity measurements) (SADABS; Krause et al., 2015) | θmax = 27.5°, θmin = 3.5° |
| Tmin = 0.48, Tmax = 0.56 | h = −8→8 |
| 9111 measured reflections | k = −8→8 |
| 1985 independent reflections | l = −14→14 |
| Refinement on F2 | Hydrogen site location: mixed |
| Least-squares matrix: full | H-atom parameters constrained |
| R[F2 > 2σ(F2)] = 0.026 | w = 1/[σ2(Fo2) + (0.0306P)2 + 0.5265P] where P = (Fo2 + 2Fc2)/3 |
| wR(F2) = 0.065 | (Δ/σ)max < 0.001 |
| S = 1.08 | Δρmax = 0.87 e Å−3 |
| 1985 reflections | Δρmin = −0.42 e Å−3 |
| 155 parameters | Extinction correction: SHELXL2014/7 (Sheldrick 2015b), Fc*=kFc[1+0.001xFc2λ3/sin(2θ)]-1/4 |
| 0 restraints | Extinction coefficient: 0.005 (2) |
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 | ||
| Rb1 | −0.15536 (4) | 0.31899 (4) | 0.42548 (2) | 0.01816 (11) | |
| Na1 | −0.1957 (2) | 0.6023 (2) | 0.90050 (11) | 0.0262 (3) | |
| B1 | −0.3018 (5) | 0.1647 (5) | 0.9121 (3) | 0.0167 (6) | |
| B2 | −0.3654 (5) | 0.0470 (5) | 0.7382 (3) | 0.0126 (5) | |
| B3 | −0.1935 (5) | 0.3118 (4) | 0.7072 (2) | 0.0111 (5) | |
| B4 | −0.4410 (5) | 0.7519 (5) | 0.6765 (3) | 0.0133 (5) | |
| B5 | 0.2491 (5) | 0.1475 (5) | 0.6798 (3) | 0.0147 (5) | |
| O1 | −0.3247 (4) | 0.1631 (4) | 1.03462 (18) | 0.0266 (5) | |
| H1 | −0.3758 | 0.0744 | 1.0684 | 0.040* | |
| O2 | −0.3634 (3) | 0.0278 (3) | 0.87005 (16) | 0.0172 (4) | |
| O3 | −0.2273 (3) | 0.3071 (3) | 0.84093 (16) | 0.0182 (4) | |
| O4 | −0.2045 (3) | 0.1225 (3) | 0.67186 (15) | 0.0118 (3) | |
| O5 | −0.3820 (3) | 0.5345 (3) | 0.66024 (17) | 0.0152 (4) | |
| O6 | −0.2980 (3) | 0.8115 (3) | 0.71344 (16) | 0.0136 (4) | |
| O7 | 0.0306 (3) | 0.3107 (3) | 0.66079 (17) | 0.0156 (4) | |
| O8 | 0.3356 (3) | −0.0786 (3) | 0.6563 (2) | 0.0228 (4) | |
| O9 | 0.3882 (3) | 0.2091 (3) | 0.71832 (18) | 0.0182 (4) | |
| O10 | 0.1852 (4) | 0.5348 (4) | 0.8910 (2) | 0.0294 (5) | |
| H10A | 0.2601 | 0.4538 | 0.8343 | 0.044* | |
| H10B | 0.2258 | 0.6376 | 0.8853 | 0.044* |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| Rb1 | 0.01984 (15) | 0.01750 (15) | 0.02004 (15) | −0.01100 (11) | −0.00189 (9) | −0.00294 (9) |
| Na1 | 0.0329 (6) | 0.0231 (6) | 0.0287 (6) | −0.0154 (5) | −0.0134 (5) | 0.0009 (5) |
| B1 | 0.0189 (14) | 0.0152 (13) | 0.0169 (14) | −0.0080 (11) | −0.0038 (11) | −0.0020 (11) |
| B2 | 0.0103 (12) | 0.0104 (12) | 0.0178 (14) | −0.0050 (10) | −0.0016 (10) | −0.0032 (10) |
| B3 | 0.0115 (12) | 0.0082 (11) | 0.0152 (13) | −0.0055 (10) | −0.0022 (10) | −0.0017 (10) |
| B4 | 0.0115 (12) | 0.0122 (12) | 0.0154 (13) | −0.0046 (10) | −0.0017 (10) | −0.0026 (10) |
| B5 | 0.0139 (13) | 0.0120 (12) | 0.0173 (14) | −0.0053 (11) | −0.0024 (10) | −0.0022 (10) |
| O1 | 0.0438 (13) | 0.0338 (12) | 0.0146 (9) | −0.0283 (10) | −0.0024 (9) | −0.0025 (8) |
| O2 | 0.0234 (9) | 0.0200 (9) | 0.0151 (9) | −0.0161 (8) | −0.0012 (7) | −0.0016 (7) |
| O3 | 0.0284 (10) | 0.0197 (9) | 0.0151 (9) | −0.0173 (8) | −0.0033 (8) | −0.0034 (7) |
| O4 | 0.0125 (8) | 0.0102 (8) | 0.0147 (8) | −0.0068 (7) | −0.0012 (6) | −0.0023 (6) |
| O5 | 0.0119 (8) | 0.0094 (8) | 0.0261 (10) | −0.0039 (7) | −0.0071 (7) | −0.0037 (7) |
| O6 | 0.0113 (8) | 0.0086 (8) | 0.0217 (9) | −0.0039 (7) | −0.0049 (7) | −0.0024 (7) |
| O7 | 0.0093 (8) | 0.0107 (8) | 0.0274 (10) | −0.0052 (7) | −0.0034 (7) | −0.0006 (7) |
| O8 | 0.0148 (9) | 0.0124 (9) | 0.0439 (13) | −0.0032 (7) | −0.0137 (8) | −0.0074 (8) |
| O9 | 0.0120 (9) | 0.0107 (8) | 0.0321 (11) | −0.0028 (7) | −0.0057 (7) | −0.0072 (7) |
| O10 | 0.0274 (11) | 0.0318 (12) | 0.0292 (12) | −0.0139 (9) | −0.0003 (9) | −0.0078 (9) |
| Rb1—O8i | 2.8044 (18) | B2—Rb1i | 3.482 (3) |
| Rb1—O6ii | 2.8777 (18) | B3—O4 | 1.438 (3) |
| Rb1—O4 | 2.9174 (17) | B3—O7 | 1.469 (3) |
| Rb1—O7ii | 2.9197 (17) | B3—O5 | 1.493 (3) |
| Rb1—O4i | 2.9691 (17) | B3—O3 | 1.506 (3) |
| Rb1—O5 | 3.0402 (19) | B4—O5 | 1.344 (3) |
| Rb1—O9ii | 3.0659 (19) | B4—O6 | 1.364 (3) |
| Rb1—O5iii | 3.0669 (17) | B4—O8ix | 1.392 (3) |
| Rb1—B3 | 3.197 (3) | B4—Rb1iii | 3.415 (3) |
| Rb1—O7 | 3.1981 (19) | B4—Rb1ii | 3.703 (3) |
| Rb1—B5ii | 3.323 (3) | B5—O7 | 1.356 (3) |
| Rb1—B4iii | 3.415 (3) | B5—O9 | 1.359 (3) |
| Na1—O3 | 2.320 (2) | B5—O8 | 1.383 (3) |
| Na1—O10 | 2.328 (2) | B5—Rb1ii | 3.323 (3) |
| Na1—O6 | 2.372 (2) | O1—Na1vi | 2.773 (3) |
| Na1—O10iv | 2.408 (3) | O1—H1 | 0.8200 |
| Na1—O2v | 2.470 (2) | O2—Na1vii | 2.470 (2) |
| Na1—O1vi | 2.773 (3) | O4—Rb1i | 2.9691 (17) |
| Na1—B2v | 3.017 (3) | O5—Rb1iii | 3.0669 (17) |
| Na1—B4 | 3.095 (3) | O6—B2v | 1.474 (3) |
| Na1—Na1iv | 3.438 (2) | O6—Rb1ii | 2.8778 (18) |
| Na1—Rb1ii | 4.0661 (13) | O7—Rb1ii | 2.9197 (17) |
| Na1—H10A | 2.6638 | O8—B4x | 1.393 (3) |
| B1—O3 | 1.348 (4) | O8—Rb1i | 2.8043 (18) |
| B1—O2 | 1.365 (3) | O9—B2xi | 1.495 (3) |
| B1—O1 | 1.386 (4) | O9—Rb1ii | 3.0659 (19) |
| B2—O4 | 1.420 (3) | O10—Na1iv | 2.408 (3) |
| B2—O6vii | 1.474 (3) | O10—Rb1ii | 3.618 (2) |
| B2—O9viii | 1.495 (3) | O10—H10A | 0.8343 |
| B2—O2 | 1.504 (3) | O10—H10B | 0.8397 |
| B2—Na1vii | 3.017 (3) | ||
| O8i—Rb1—O6ii | 105.39 (5) | Na1iv—Na1—Rb1ii | 106.24 (5) |
| O8i—Rb1—O4 | 93.14 (6) | O3—Na1—H10A | 99.4 |
| O6ii—Rb1—O4 | 120.87 (5) | O10—Na1—H10A | 17.6 |
| O8i—Rb1—O7ii | 139.14 (6) | O6—Na1—H10A | 94.4 |
| O6ii—Rb1—O7ii | 63.54 (5) | O10iv—Na1—H10A | 97.8 |
| O4—Rb1—O7ii | 126.94 (5) | O2v—Na1—H10A | 103.5 |
| O8i—Rb1—O4i | 65.68 (5) | O1vi—Na1—H10A | 169.4 |
| O6ii—Rb1—O4i | 48.12 (5) | B2v—Na1—H10A | 97.7 |
| O4—Rb1—O4i | 96.20 (4) | B4—Na1—H10A | 109.6 |
| O7ii—Rb1—O4i | 111.32 (5) | Na1iv—Na1—H10A | 56.6 |
| O8i—Rb1—O5 | 119.37 (6) | Rb1ii—Na1—H10A | 50.7 |
| O6ii—Rb1—O5 | 132.86 (5) | O3—B1—O2 | 123.4 (2) |
| O4—Rb1—O5 | 47.21 (5) | O3—B1—O1 | 118.3 (2) |
| O7ii—Rb1—O5 | 88.93 (5) | O2—B1—O1 | 118.2 (2) |
| O4i—Rb1—O5 | 141.35 (5) | O4—B2—O6vii | 111.0 (2) |
| O8i—Rb1—O9ii | 100.57 (5) | O4—B2—O9viii | 113.1 (2) |
| O6ii—Rb1—O9ii | 94.20 (5) | O6vii—B2—O9viii | 110.6 (2) |
| O4—Rb1—O9ii | 137.30 (5) | O4—B2—O2 | 111.0 (2) |
| O7ii—Rb1—O9ii | 46.02 (5) | O6vii—B2—O2 | 104.7 (2) |
| O4i—Rb1—O9ii | 126.34 (5) | O9viii—B2—O2 | 106.1 (2) |
| O5—Rb1—O9ii | 91.62 (5) | O4—B2—Na1vii | 120.06 (16) |
| O8i—Rb1—O5iii | 46.44 (5) | O6vii—B2—Na1vii | 50.58 (11) |
| O6ii—Rb1—O5iii | 128.56 (5) | O9viii—B2—Na1vii | 126.80 (17) |
| O4—Rb1—O5iii | 104.92 (5) | O2—B2—Na1vii | 54.58 (11) |
| O7ii—Rb1—O5iii | 107.34 (5) | O4—B2—Rb1i | 57.43 (11) |
| O4i—Rb1—O5iii | 108.89 (5) | O6vii—B2—Rb1i | 54.13 (11) |
| O5—Rb1—O5iii | 94.80 (5) | O9viii—B2—Rb1i | 137.87 (17) |
| O9ii—Rb1—O5iii | 61.34 (5) | O2—B2—Rb1i | 115.65 (15) |
| O8i—Rb1—B3 | 118.10 (7) | Na1vii—B2—Rb1i | 77.10 (6) |
| O6ii—Rb1—B3 | 117.20 (6) | O4—B3—O7 | 112.4 (2) |
| O4—Rb1—B3 | 26.71 (6) | O4—B3—O5 | 109.14 (19) |
| O7ii—Rb1—B3 | 100.64 (6) | O7—B3—O5 | 107.95 (19) |
| O4i—Rb1—B3 | 113.99 (6) | O4—B3—O3 | 111.7 (2) |
| O5—Rb1—B3 | 27.55 (6) | O7—B3—O3 | 107.32 (19) |
| O9ii—Rb1—B3 | 117.66 (6) | O5—B3—O3 | 108.17 (19) |
| O5iii—Rb1—B3 | 114.24 (6) | O4—B3—Rb1 | 65.75 (12) |
| O8i—Rb1—O7 | 138.07 (5) | O7—B3—Rb1 | 76.77 (13) |
| O6ii—Rb1—O7 | 91.65 (5) | O5—B3—Rb1 | 70.37 (12) |
| O4—Rb1—O7 | 46.24 (4) | O3—B3—Rb1 | 175.90 (16) |
| O7ii—Rb1—O7 | 82.76 (5) | O5—B4—O6 | 123.9 (2) |
| O4i—Rb1—O7 | 103.24 (5) | O5—B4—O8ix | 116.5 (2) |
| O5—Rb1—O7 | 45.07 (4) | O6—B4—O8ix | 119.6 (2) |
| O9ii—Rb1—O7 | 116.34 (5) | O5—B4—Na1 | 93.79 (16) |
| O5iii—Rb1—O7 | 139.24 (5) | O6—B4—Na1 | 46.49 (12) |
| B3—Rb1—O7 | 26.56 (6) | O8ix—B4—Na1 | 131.13 (18) |
| O8i—Rb1—B5ii | 124.32 (6) | O5—B4—Rb1iii | 63.74 (13) |
| O6ii—Rb1—B5ii | 83.61 (6) | O6—B4—Rb1iii | 172.23 (18) |
| O4—Rb1—B5ii | 129.51 (6) | O8ix—B4—Rb1iii | 52.91 (12) |
| O7ii—Rb1—B5ii | 23.98 (6) | Na1—B4—Rb1iii | 138.69 (10) |
| O4i—Rb1—B5ii | 127.99 (6) | O5—B4—Rb1ii | 94.43 (15) |
| O5—Rb1—B5ii | 83.11 (6) | O6—B4—Rb1ii | 43.80 (12) |
| O9ii—Rb1—B5ii | 24.12 (6) | O8ix—B4—Rb1ii | 135.22 (17) |
| O5iii—Rb1—B5ii | 84.63 (6) | Na1—B4—Rb1ii | 72.86 (6) |
| B3—Rb1—B5ii | 103.94 (7) | Rb1iii—B4—Rb1ii | 138.55 (9) |
| O7—Rb1—B5ii | 95.01 (6) | O7—B5—O9 | 119.4 (2) |
| O8i—Rb1—B4iii | 23.33 (6) | O7—B5—O8 | 121.0 (2) |
| O6ii—Rb1—B4iii | 119.67 (6) | O9—B5—O8 | 119.5 (2) |
| O4—Rb1—B4iii | 99.01 (6) | O7—B5—Rb1ii | 61.07 (13) |
| O7ii—Rb1—B4iii | 125.52 (6) | O9—B5—Rb1ii | 67.26 (14) |
| O4i—Rb1—B4iii | 87.64 (6) | O8—B5—Rb1ii | 147.58 (19) |
| O5—Rb1—B4iii | 107.45 (6) | B1—O1—Na1vi | 102.67 (17) |
| O9ii—Rb1—B4iii | 81.07 (6) | B1—O1—H1 | 109.5 |
| O5iii—Rb1—B4iii | 23.13 (6) | Na1vi—O1—H1 | 68.7 |
| B3—Rb1—B4iii | 117.84 (7) | B1—O2—B2 | 118.9 (2) |
| O7—Rb1—B4iii | 143.96 (6) | B1—O2—Na1vii | 128.30 (17) |
| B5ii—Rb1—B4iii | 105.15 (7) | B2—O2—Na1vii | 95.68 (14) |
| O3—Na1—O10 | 114.72 (9) | B1—O3—B3 | 120.6 (2) |
| O3—Na1—O6 | 87.80 (7) | B1—O3—Na1 | 126.20 (17) |
| O10—Na1—O6 | 102.94 (8) | B3—O3—Na1 | 112.48 (14) |
| O3—Na1—O10iv | 97.54 (8) | B2—O4—B3 | 120.1 (2) |
| O10—Na1—O10iv | 86.93 (9) | B2—O4—Rb1 | 132.21 (15) |
| O6—Na1—O10iv | 165.69 (9) | B3—O4—Rb1 | 87.55 (13) |
| O3—Na1—O2v | 139.94 (8) | B2—O4—Rb1i | 98.80 (13) |
| O10—Na1—O2v | 94.71 (8) | B3—O4—Rb1i | 133.22 (14) |
| O6—Na1—O2v | 58.24 (6) | Rb1—O4—Rb1i | 83.80 (4) |
| O10iv—Na1—O2v | 111.23 (8) | B4—O5—B3 | 129.0 (2) |
| O3—Na1—O1vi | 90.30 (8) | B4—O5—Rb1 | 124.85 (16) |
| O10—Na1—O1vi | 154.55 (9) | B3—O5—Rb1 | 82.08 (13) |
| O6—Na1—O1vi | 81.58 (7) | B4—O5—Rb1iii | 93.13 (14) |
| O10iv—Na1—O1vi | 85.11 (8) | B3—O5—Rb1iii | 135.15 (14) |
| O2v—Na1—O1vi | 66.05 (7) | Rb1—O5—Rb1iii | 85.20 (5) |
| O3—Na1—B2v | 115.13 (8) | B4—O6—B2v | 124.4 (2) |
| O10—Na1—B2v | 97.70 (9) | B4—O6—Na1 | 108.88 (16) |
| O6—Na1—B2v | 28.69 (7) | B2v—O6—Na1 | 100.73 (14) |
| O10iv—Na1—B2v | 140.75 (9) | B4—O6—Rb1ii | 117.06 (15) |
| O2v—Na1—B2v | 29.74 (7) | B2v—O6—Rb1ii | 101.35 (13) |
| O1vi—Na1—B2v | 74.11 (7) | Na1—O6—Rb1ii | 101.09 (6) |
| O3—Na1—B4 | 66.83 (7) | B5—O7—B3 | 129.6 (2) |
| O10—Na1—B4 | 122.57 (9) | B5—O7—Rb1ii | 94.94 (15) |
| O6—Na1—B4 | 24.64 (7) | B3—O7—Rb1ii | 132.55 (14) |
| O10iv—Na1—B4 | 150.00 (9) | B5—O7—Rb1 | 119.02 (16) |
| O2v—Na1—B4 | 74.63 (7) | B3—O7—Rb1 | 76.67 (13) |
| O1vi—Na1—B4 | 70.18 (7) | Rb1ii—O7—Rb1 | 97.24 (5) |
| B2v—Na1—B4 | 48.48 (8) | B5—O8—B4x | 121.5 (2) |
| O3—Na1—Na1iv | 112.03 (7) | B5—O8—Rb1i | 134.67 (16) |
| O10—Na1—Na1iv | 44.38 (6) | B4x—O8—Rb1i | 103.76 (15) |
| O6—Na1—Na1iv | 146.14 (8) | B5—O9—B2xi | 124.3 (2) |
| O10iv—Na1—Na1iv | 42.55 (6) | B5—O9—Rb1ii | 88.62 (15) |
| O2v—Na1—Na1iv | 108.01 (7) | B2xi—O9—Rb1ii | 133.40 (15) |
| O1vi—Na1—Na1iv | 123.50 (7) | Na1—O10—Na1iv | 93.07 (9) |
| B2v—Na1—Na1iv | 129.28 (8) | Na1—O10—Rb1ii | 83.25 (7) |
| B4—Na1—Na1iv | 166.20 (8) | Na1iv—O10—Rb1ii | 172.67 (9) |
| O3—Na1—Rb1ii | 90.67 (6) | Na1—O10—H10A | 104.6 |
| O10—Na1—Rb1ii | 62.09 (6) | Na1iv—O10—H10A | 125.6 |
| O6—Na1—Rb1ii | 43.99 (5) | Rb1ii—O10—H10A | 50.0 |
| O10iv—Na1—Rb1ii | 148.42 (7) | Na1—O10—H10B | 125.3 |
| O2v—Na1—Rb1ii | 79.34 (5) | Na1iv—O10—H10B | 101.5 |
| O1vi—Na1—Rb1ii | 125.46 (6) | Rb1ii—O10—H10B | 85.8 |
| B2v—Na1—Rb1ii | 56.58 (6) | H10A—O10—H10B | 108.3 |
| B4—Na1—Rb1ii | 60.48 (6) | ||
| O3—B1—O1—Na1vi | 106.2 (2) | Rb1iii—B4—O5—Rb1 | 86.33 (13) |
| O2—B1—O1—Na1vi | −71.6 (3) | Rb1ii—B4—O5—Rb1 | −56.82 (15) |
| O3—B1—O2—B2 | −4.5 (4) | O6—B4—O5—Rb1iii | −178.1 (2) |
| O1—B1—O2—B2 | 173.2 (2) | O8ix—B4—O5—Rb1iii | 3.4 (2) |
| O3—B1—O2—Na1vii | 121.0 (2) | Na1—B4—O5—Rb1iii | 143.78 (7) |
| O1—B1—O2—Na1vii | −61.3 (3) | Rb1ii—B4—O5—Rb1iii | −143.15 (6) |
| O4—B2—O2—B1 | 27.4 (3) | O4—B3—O5—B4 | 176.8 (2) |
| O6vii—B2—O2—B1 | 147.2 (2) | O7—B3—O5—B4 | −60.8 (3) |
| O9viii—B2—O2—B1 | −95.9 (3) | O3—B3—O5—B4 | 55.0 (3) |
| Na1vii—B2—O2—B1 | 140.1 (2) | Rb1—B3—O5—B4 | −129.0 (2) |
| Rb1i—B2—O2—B1 | 90.3 (2) | O4—B3—O5—Rb1 | −54.17 (17) |
| O4—B2—O2—Na1vii | −112.69 (17) | O7—B3—O5—Rb1 | 68.22 (16) |
| O6vii—B2—O2—Na1vii | 7.12 (18) | O3—B3—O5—Rb1 | −175.95 (17) |
| O9viii—B2—O2—Na1vii | 124.07 (16) | O4—B3—O5—Rb1iii | 20.8 (3) |
| Rb1i—B2—O2—Na1vii | −49.79 (13) | O7—B3—O5—Rb1iii | 143.17 (16) |
| O2—B1—O3—B3 | −3.8 (4) | O3—B3—O5—Rb1iii | −101.0 (2) |
| O1—B1—O3—B3 | 178.5 (2) | Rb1—B3—O5—Rb1iii | 74.95 (16) |
| O2—B1—O3—Na1 | 165.68 (19) | O5—B4—O6—B2v | −176.3 (2) |
| O1—B1—O3—Na1 | −12.0 (4) | O8ix—B4—O6—B2v | 2.1 (4) |
| O4—B3—O3—B1 | −11.5 (3) | Na1—B4—O6—B2v | −118.2 (3) |
| O7—B3—O3—B1 | −135.1 (2) | Rb1ii—B4—O6—B2v | 128.1 (3) |
| O5—B3—O3—B1 | 108.7 (2) | O5—B4—O6—Na1 | −58.2 (3) |
| O4—B3—O3—Na1 | 177.71 (15) | O8ix—B4—O6—Na1 | 120.3 (2) |
| O7—B3—O3—Na1 | 54.1 (2) | Rb1ii—B4—O6—Na1 | −113.76 (15) |
| O5—B3—O3—Na1 | −62.1 (2) | O5—B4—O6—Rb1ii | 55.6 (3) |
| O6vii—B2—O4—B3 | −161.2 (2) | O8ix—B4—O6—Rb1ii | −126.0 (2) |
| O9viii—B2—O4—B3 | 73.8 (3) | Na1—B4—O6—Rb1ii | 113.76 (15) |
| O2—B2—O4—B3 | −45.2 (3) | O9—B5—O7—B3 | −127.1 (3) |
| Na1vii—B2—O4—B3 | −105.5 (2) | O8—B5—O7—B3 | 55.3 (4) |
| Rb1i—B2—O4—B3 | −153.0 (2) | Rb1ii—B5—O7—B3 | −162.2 (3) |
| O6vii—B2—O4—Rb1 | 81.4 (2) | O9—B5—O7—Rb1ii | 35.1 (3) |
| O9viii—B2—O4—Rb1 | −43.6 (3) | O8—B5—O7—Rb1ii | −142.5 (2) |
| O2—B2—O4—Rb1 | −162.63 (13) | O9—B5—O7—Rb1 | 136.2 (2) |
| Na1vii—B2—O4—Rb1 | 137.07 (12) | O8—B5—O7—Rb1 | −41.4 (3) |
| Rb1i—B2—O4—Rb1 | 89.59 (15) | Rb1ii—B5—O7—Rb1 | 101.11 (12) |
| O6vii—B2—O4—Rb1i | −8.2 (2) | O4—B3—O7—B5 | −60.4 (3) |
| O9viii—B2—O4—Rb1i | −133.16 (18) | O5—B3—O7—B5 | 179.2 (2) |
| O2—B2—O4—Rb1i | 107.78 (17) | O3—B3—O7—B5 | 62.8 (3) |
| Na1vii—B2—O4—Rb1i | 47.47 (16) | Rb1—B3—O7—B5 | −116.8 (2) |
| O7—B3—O4—B2 | 158.4 (2) | O4—B3—O7—Rb1ii | 144.03 (15) |
| O5—B3—O4—B2 | −81.9 (3) | O5—B3—O7—Rb1ii | 23.6 (3) |
| O3—B3—O4—B2 | 37.6 (3) | O3—B3—O7—Rb1ii | −92.7 (2) |
| Rb1—B3—O4—B2 | −138.8 (2) | Rb1—B3—O7—Rb1ii | 87.61 (16) |
| O7—B3—O4—Rb1 | −62.82 (18) | O4—B3—O7—Rb1 | 56.42 (17) |
| O5—B3—O4—Rb1 | 56.89 (17) | O5—B3—O7—Rb1 | −63.97 (16) |
| O3—B3—O4—Rb1 | 176.48 (17) | O3—B3—O7—Rb1 | 179.65 (17) |
| O7—B3—O4—Rb1i | 16.3 (3) | O7—B5—O8—B4x | −179.4 (2) |
| O5—B3—O4—Rb1i | 136.02 (16) | O9—B5—O8—B4x | 3.0 (4) |
| O3—B3—O4—Rb1i | −104.4 (2) | Rb1ii—B5—O8—B4x | 96.7 (4) |
| Rb1—B3—O4—Rb1i | 79.14 (15) | O7—B5—O8—Rb1i | −1.6 (4) |
| O6—B4—O5—B3 | 18.6 (4) | O9—B5—O8—Rb1i | −179.15 (17) |
| O8ix—B4—O5—B3 | −159.9 (2) | Rb1ii—B5—O8—Rb1i | −85.5 (4) |
| Na1—B4—O5—B3 | −19.5 (3) | O7—B5—O9—B2xi | −177.7 (2) |
| Rb1iii—B4—O5—B3 | −163.3 (3) | O8—B5—O9—B2xi | −0.1 (4) |
| Rb1ii—B4—O5—B3 | 53.5 (3) | Rb1ii—B5—O9—B2xi | −144.7 (2) |
| O6—B4—O5—Rb1 | −91.7 (3) | O7—B5—O9—Rb1ii | −33.1 (2) |
| O8ix—B4—O5—Rb1 | 89.8 (3) | O8—B5—O9—Rb1ii | 144.5 (2) |
| Na1—B4—O5—Rb1 | −129.89 (11) |
| Symmetry codes: (i) −x, −y, −z+1; (ii) −x, −y+1, −z+1; (iii) −x−1, −y+1, −z+1; (iv) −x, −y+1, −z+2; (v) x, y+1, z; (vi) −x−1, −y+1, −z+2; (vii) x, y−1, z; (viii) x−1, y, z; (ix) x−1, y+1, z; (x) x+1, y−1, z; (xi) x+1, y, z. |
| D—H···A | D—H | H···A | D···A | D—H···A |
| O1—H1···O2xii | 0.82 | 2.11 | 2.869 (3) | 155 |
| O10—H10B···O1iv | 0.84 | 2.16 | 2.916 (3) | 151 |
| Symmetry codes: (iv) −x, −y+1, −z+2; (xii) −x−1, −y, −z+2. |
Acknowledgements
This work was supported by the National Natural Science Foundation of China (No. 21975224).
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