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Crystal structure analysis, Hirshfeld surface analysis and DFT calculations of a one-dimensional neutral manganese(II) coordination polymer [(CH3)3NH][MnCl2(H2O)2]Cl

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aSchool of Electrical and Information Engineering, Fujian University of Technology, Fuzhou 350118, People's Republic of China, and bSchool of Science, Qingdao University of Technology, Qingdao 266250, People's Republic of China
*Correspondence e-mail: [email protected]

Edited by L. Suescun, Universidad de la República, Uruguay (Received 15 July 2026; accepted 16 October 2026; online 30 October 2026)

The crystal structure of tri­methyl­ammonium manganese(II) chloride dihydrate or catena-poly[tri­methyl­ammonium [[di­aqua­manganese(II)]-di-μ-chlorido] chloride], {[(CH3)3NH][MnCl2(H2O)2]Cl}n (1), originally reported by Caputo et al. (1976View full citation). Acta Cryst. B32, 2639–2642], has been redetermined at 100 K. The structure retains the ortho­rhom­bic space group Pnma and the coordination connectivity of the previously reported room-temperature structure. Each MnII ion lies on an inversion centre and is coordinated by four bridging chloride ligands and two mutually trans water mol­ecules. The resulting edge-sharing MnCl4(H2O)2 octa­hedra form neutral chains parallel to the b axis, with tri­methyl­ammonium cations and non-coordinating chloride anions situated between the chains. The measured unit-cell parameters, bond lengths and bond angles are in good agreement with the room-temperature determination reported by Caputo et al. In the crystal, O—H⋯Cl and N—H⋯Cl contacts link the inorganic and organic components. Hirshfeld surface analysis identifies H⋯Cl/Cl⋯H contacts as the largest surface-area contribution. Crystal morphology predictions and periodic density functional theory (DFT) calculations provide supplementary descriptions of the crystal habit and electronic response.

1. Chemical context

Chloride-bridged manganese(II) compounds provide structurally simple examples of extended coordination assemblies. In these materials, bridging chloride ligands can connect MnII centres into chains, while coordinated water mol­ecules and organic ammonium ions participate in hydrogen-bonding contacts between the inorganic and organic components. Their structural description therefore requires consideration of both the metal–ligand connectivity and the inter­actions between neighbouring chains.

[Scheme 1]

The crystal structure of tri­methyl­ammonium manganese(II) chloride dihydrate, [(CH3)3NH]·[MnCl2(H2O)2]·Cl, was established by Caputo et al. (1976View full citation). Their study identified neutral chains of edge-sharing MnCl4(H2O)2 octa­hedra, together with tri­methyl­ammonium cations and discrete chloride anions between the chains. It also described hydrogen bonding between the chains and discussed the structure in relation to the magnetic behaviour of this family of compounds. The identity and principal structural features of the title compound are therefore already established.

The present work reports an independent determination of this structure at 100 K. Hirshfeld surface analysis is used to describe the relative surface-area contributions of different contact types. A geometrical crystal morphology model and periodic density functional theory calculations are included as complementary analyses.

2. Structural commentary

The crystal structure of the title compound was previously reported by Caputo et al. (1976View full citation) at room temperature. The title compound crystallizes in the ortho­rhom­bic space group Pnma. The MnII ion occupies an inversion centre and has a distorted octa­hedral coordination environment comprising four bridging chloride ligands and two mutually trans water mol­ecules (Fig. 1[link]). The two independent Mn—Cl distances are 2.5277 (4) and 2.5845 (4) Å, and the Mn—O distance is 2.1929 (11) Å. Adjacent octa­hedra share chloride-bridged edges, producing neutral one-dimensional chains parallel to the b axis. The two independent Mn—Cl—Mn bridging angles are 94.982 (19) and 92.269 (19)°. Tri­methyl­ammonium cations and non-coordinating chloride anions occupy the regions between the chains. The space group and coordination connectivity are unchanged. The present unit-cell volume of 1030.81 (12) Å3, together with the bond-length data, is consistent with the published room-temperature values.

[Figure 1]
Figure 1
View of part of the [MnCl2(H2O)2]n chain with one tri­methyl­ammoium and one chloride ions, showing 50% probability displacement ellipsoids. Symmetry codes: (i) 1 − x, −Mathematical equation + y, −z + 1, (ii) 1 − x, 1 − y, 1 − z, (iii) x, Mathematical equation − y, z.

The crystal morphology of the title compound was predicted using the Bravais–Friedel–Donnay–Harker (BFDH) model implemented in WinXMorph (Kaminsky, 2005View full citation). The predicted morphology exhibits a faceted polyhedral shape, with indexed faces including (100), (010), (210), (011), (101) and (111) (Fig. 2[link]). The BFDH model provides a geometrical prediction of crystal morphology based on lattice parameters and crystal symmetry (Donnay & Harker, 1937View full citation). Accordingly, the resulting model illustrates the possible crystal habit without explicitly accounting for surface energetics or the effects of crystallization conditions.

[Figure 2]
Figure 2
Calculated crystal-face model of the title compound, showing the Miller indices of the labelled faces.

3. Supra­molecular features

In the crystal packing, parallel neutral {[Mn(μ2-Cl)2(H2O)2]}n chains extend along the b-axis direction, with [(CH3)3NH]+ tri­methyl­ammonium cations and free chloride anions (Cl3) occupying the voids between adjacent chains. Both species form hydrogen bonds with the inorganic chains, including O—H⋯Cl and N—H⋯Cl inter­actions (Table 1[link]). The coordinated water mol­ecules act as hydrogen-bond donors, forming O—H⋯Cl hydrogen bonds with the non-coordinating chloride anions (Cl3). The [(CH3)3NH]+ tri­methyl­ammonium cations also serve as hydrogen-bond donors, forming N—H⋯Cl hydrogen bonds with the bridging chloride ligands of the inorganic chains. Hydrogen bonds involving coordinated water mol­ecules and non-coordinating chloride anions were also reported in the room-temperature structure (Caputo et al., 1976View full citation).

Table 1
Hydrogen-bond geometry (Å, °)

D—H⋯A D—H H⋯A D⋯A D—H⋯A
N1—H1⋯Cl2 1.00 (2) 2.67 (1) 3.3685 (19) 128 (1)
O1—H1D⋯Cl3 0.85 (1) 2.32 (1) 3.1479 (14) 165 (1)

4. Hirshfeld surface analysis

To further investigate the inter­molecular contacts involving the tri­methyl­ammonium cations, free chloride anions, and the one-dimensional inorganic chain framework, a Hirshfeld surface analysis was undertaken (Fig. 3[link]) and the corresponding two-dimensional fingerprint plots (Fig. 4[link]) were generated for the title compound. The Hirshfeld surface was calculated from the crystallographic information file using Multiwfn (Lu & Chen, 2012View full citation) and visualized with VMD (Humphrey et al., 1996View full citation). This analysis provides a graphical and qu­anti­tative description of the close contacts associated with the selected structural unit in its crystalline environment.

[Figure 3]
Figure 3
Hirshfeld surface of the title compound, mapped over dnorm.
[Figure 4]
Figure 4
Two-dimensional fingerprint plots for the title compound.

The Hirshfeld surface mapped over the normalized contact distance provides an intuitive visualization of the distribution of inter­molecular contacts. Red regions indicate contacts shorter than the sum of the corresponding van der Waals radii, white regions represent contacts with distances close to this sum, and blue regions correspond to longer contacts (Spackman & Jayatilaka, 2009View full citation). Prominent red spots are observed in the surface regions associated with the O—H groups of the coordinated water mol­ecules and the N—H group of the tri­methyl­ammonium cation. Based on the crystallographic environment, these features can be assigned to the O—H⋯Cl3 contacts involving the free chloride anions and the N—H⋯Cl contacts involving the bridging chloride ligands of the one-dimensional chains, respectively. These surface features are consistent with the hydrogen-bonding contacts identified from the single-crystal structure.

The H⋯Cl/Cl⋯H contacts make the largest contribution to the Hirshfeld surface, accounting for 62.40% of the total surface area, indicating the frequent occurrence of short hydrogen–chloride contacts in the crystal. This observation is consistent with the chloride-rich crystalline environment of the compound and with the crystallographically identified O—H⋯Cl and N—H⋯Cl inter­actions. H⋯H contacts make the second-largest contribution, accounting for 22.40% of the Hirshfeld surface. Their broad and diffuse distribution in the fingerprint plot is characteristic of relatively non-directional close contacts, including those involving the methyl hydrogen atoms of the tri­methyl­ammonium cations. H⋯O/O⋯H contacts contribute 9.34%, whereas H⋯Mn/Mn⋯H, O⋯Cl/Cl⋯O, and O⋯C/C⋯O contacts account for 4.12%, 0.80%, and 0.70%, respectively. These smaller contributions indicate the presence of additional close contacts in the crystalline environment (Hashim et al., 2021View full citation). Other contact types make only minor contributions and are not discussed individually.

Overall, the Hirshfeld surface and fingerprint analyses identify H⋯Cl/Cl⋯H as the most prevalent type of surface contact in the title compound. In conjunction with the O—H⋯Cl and N—H⋯Cl geometries determined crystallographically, these results support the importance of chloride-associated hydrogen-bonding contacts in the organization and consolidation of the crystal packing. However, the Hirshfeld surface percentages represent contact-area contributions and should not be inter­preted directly as relative inter­action energies or as independent evidence for the dimensionality of the supra­molecular assembly.

5. Density functional theory calculations

To gain further insight into the electronic structure and vibrational properties of the title compound, periodic spin-polarized density functional theory calculations were performed using CASTEP (Clark et al., 2005View full citation) within the collinear spin formalism. The Perdew–Burke–Ernzerhof (PBE) exchange–correlation functional was employed together with the Tkatchenko–Scheffler dispersion correction. A Hubbard correction of U = 2.5 eV was applied to the Mn 3d orbitals. Norm-conserving pseudopotentials and a plane-wave energy cutoff of 750 eV were used. Brillouin-zone sampling employed a 1 × 1 × 1 Monkhorst–Pack k-point grid (Monkhorst & Pack, 1976View full citation). The self-consistent-field (SCF) energy convergence threshold was set to 2.0 × 10−6 eV per atom, and a density mixing scheme was used for electronic minimization. The experimentally determined crystal structure was used as the starting model for geometry optimization, and the optimized structure was subsequently used for single-point electronic-structure calculations.

The calculated electronic band structure along the high-symmetry path G–Z–T–Y–S–X–U–R is shown in Fig. 5[link]. At the PBE+U level of theory, the compound exhibits a wide band gap (Eg = 4.93 eV). Both the valence and conduction bands are remarkably flat across the entire Brillouin zone, reflecting the weak inter­chain electronic coupling and highly localized character of the frontier electronic states, which is consistent with a mol­ecular ionic crystal dominated by electrostatic and hydrogen-bonding inter­actions. Notably, the flat band feature does not mean complete electronic isolation of MnII centres along the chain: superexchange inter­actions between adjacent MnII ions can still be mediated by the bridging chloride ligands, as widely demonstrated by magnetic studies on the isostructural [(CH3)3NH]·MnCl3·(H2O)2 family (Bhatia et al., 1976View full citation) .

[Figure 5]
Figure 5
The band structure of the title compound.

The partial density of states (PDOS, Fig. 6[link]) reveals that the upper valence band (−5 to 0 eV) is dominated by Cl 3p states, while the conduction band shows mixed s, p and minor Mn 3d contributions.

[Figure 6]
Figure 6
Partial density of states of the title compound.

The calculated complex dielectric function of the title compound for [100] polarization is presented in Fig. 7[link]. The imaginary part ɛ2(ω), which is directly related to the optical absorption probability, shows an absorption onset at approximately 5.0 eV, consistent with the wide-band-gap insulating character derived from the band structure calculation. The strongest absorption peak centred at ca. 8.7 eV is assigned to ligand-to-metal charge transfer (LMCT) transitions from the Cl 3p-dominated upper valence band to Mn 3d states in the conduction band, in full agreement with the partial density of states analysis.

[Figure 7]
Figure 7
Calculated complex dielectric function of the title compound.

The real part ɛ1(ω) displays typical normal dispersion in the transparent region below the absorption edge, with a static dielectric constant ɛ1(0) at the zero-frequency limit. This moderate value reflects the mol­ecular ionic nature of the crystal, where electronic polarization is largely localized within the one-dimensional Mn–Cl chains and discrete organic cations, with only minor contributions from weak inter­chain hydrogen-bonding and van der Waals inter­actions. Across the main absorption band, ɛ1(ω) undergoes anomalous dispersion, decreases sharply through zero and reaches a minimum near 16 eV before slowly recovering toward unity at higher energies.

Fig. 8[link] shows the real and imaginary components of the optical conductivity for three polarization directions. The real component becomes appreciable around 5 eV and exhibits its strongest peaks at approximately 13.6–14.9 eV, while the imaginary component displays a dispersive response with sign changes around 12–14 eV. Near 8.5 eV, the [010] response is approximately 2.40 times that for [001], indicating enhanced coupling to light polarized along the coordination chains. However, the dominant polarization varies with photon energy, showing that the chain-like structure does not produce a uniformly chain-dominated optical response. These results identify a polarization-sensitive ultraviolet region for future experimental investigation.

[Figure 8]
Figure 8
Optical conductivity for three polarizations.

The simulated Raman spectrum in the range 1000–3500 cm−1 is shown in Fig. 9[link]. The most intense peaks at 2950-3050 cm−1 are assigned to the C—H stretching vibrations of the tri­methyl­ammonium methyl groups (Libowitzky, 1999View full citation). Of particular inter­est is the pair of peaks in the 3200–3400 cm−1 region, which is attributed to the O—H stretching of coordinated water and the N—H stretching of the tri­methyl­ammonium cation (Lin et al., 2020View full citation). The positions of these peaks are consistent with the involvement of O—H and N—H groups in hydrogen bonding with chloride acceptors: the O—H stretches appear at frequencies moderately red-shifted relative to free water, in accord with the O—H⋯Cl hydrogen bonds (O⋯Cl = 3.1479 Å) identified crystallographically, and the N—H stretch likewise reflects the N—H⋯Cl inter­action (N⋯Cl = 3.3685 Å). These spectroscopic features provide independent computational support for the hydrogen-bonding network described in the supra­molecular analysis. Weak features around 1450–1500 cm−1 correspond to C—H bending modes (Snyder et al., 1978View full citation).

[Figure 9]
Figure 9
Simulated Raman spectrum.

6. Synthesis and crystallization

MnCl2·4H2O and (CH3)3NHCl were dissolved in deionized water in a 1:1 molar ratio. A small amount of hydro­chloric acid was added to maintain a weakly acidic environment. The mixture was stirred until homogeneous, and the resulting clear solution was left to stand in an open vessel at room temperature. Pale-pink block-shaped crystals suitable for single-crystal X-ray diffraction were obtained by slow evaporation over several days.

7. Refinement

Crystal data, data collection and structure refinement details are summarized in Table 2[link]. H atoms bonded to carbon atoms were placed in calculated positions and refined as riding atoms, with C—H = 0.98 Å and Uiso(H) = 1.5Ueq(C) for the methyl groups. The H atom attached to N was also included in a calculated position and refined using a riding model, with Uiso(H) = 1.2Ueq(N). The H atoms of the coordinated water mol­ecule were included in the refinement using constrained positions, with Uiso(H) = 1.5Ueq(O).

Table 2
Experimental details

Crystal data
Chemical formula (C3H10)[MnCl2(HO2)2]Cl
Mr 257.44
Crystal system, space group Orthorhombic, Pnma
Temperature (K) 100
a, b, c (Å) 16.7931 (12), 7.4533 (5), 8.2357 (5)
V (Å3) 1030.81 (12)
Z 4
Radiation type Mo Kα
μ (mm−1) 2.01
Crystal size (mm) 0.36 × 0.32 × 0.14
 
Data collection
Diffractometer XtaLAB Mini II
Absorption correction Multi-scan (CrysAlis PRO; Rigaku OD, 2018View full citation)
Tmin, Tmax 0.630, 1.000
No. of measured, independent and observed [I > 2σ(I)] reflections 6414, 1594, 1227
Rint 0.030
(sin θ/λ)max (Å−1) 0.709
 
Refinement
R[F2 > 2σ(F2)], wR(F2), S 0.029, 0.072, 1.03
No. of reflections 1594
No. of parameters 57
H-atom treatment H-atom parameters constrained
Δρmax, Δρmin (e Å−3) 0.32, −0.38
Computer programs: CrysAlis PRO (Rigaku OD, 2018View full citation), SHELXT (Sheldrick, 2015aView full citation), SHELXL (Sheldrick, 2015bView full citation) and OLEX2 (Dolomanov et al., 2009View full citation).

8. Conflicts of inter­est

There is no conflict of inter­est here.

Supporting information


Computing details top

catena-Poly[trimethylammonium [[diaquamanganese(II)]-di-µ-chlorido] chloride] top
Crystal data top
(C3H10N)[MnCl2(HO2)2]ClDx = 1.659 Mg m−3
Mr = 257.44Mo Kα radiation, λ = 0.71073 Å
Orthorhombic, PnmaCell parameters from 2016 reflections
a = 16.7931 (12) Åθ = 2.4–30.0°
b = 7.4533 (5) ŵ = 2.01 mm−1
c = 8.2357 (5) ÅT = 100 K
V = 1030.81 (12) Å3Block, pink
Z = 40.36 × 0.32 × 0.14 mm
F(000) = 524
Data collection top
XtaLAB Mini II
diffractometer
Rint = 0.030
ω scansθmax = 30.3°, θmin = 2.4°
Absorption correction: multi-scan
(CrysAlis PRO; Rigaku OD, 2018)
h = −18→23
Tmin = 0.630, Tmax = 1.000k = −10→10
6414 measured reflectionsl = −11→11
1594 independent reflections3 standard reflections every 150 reflections
1227 reflections with I > 2σ(I) intensity decay: 0.4%
Refinement top
Refinement on F20 restraints
Least-squares matrix: fullHydrogen site location: mixed
R[F2 > 2σ(F2)] = 0.029H-atom parameters constrained
wR(F2) = 0.072 w = 1/[σ2(Fo2) + (0.0349P)2]
where P = (Fo2 + 2Fc2)/3
S = 1.03(Δ/σ)max = 0.001
1594 reflectionsΔρmax = 0.32 e Å−3
57 parametersΔρmin = −0.38 e Å−3
Special details top

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.

Fractional atomic coordinates and isotropic or equivalent isotropic displacement parameters (Å2) top
xyzUiso*/UeqOcc. (<1)
Mn10.5000000.5000000.5000000.02283 (11)
Cl10.60171 (3)0.2500000.50062 (7)0.02673 (14)
Cl20.39811 (3)0.2500000.56421 (8)0.02891 (14)
Cl30.41077 (4)0.750000−0.00188 (7)0.03204 (16)
O10.47692 (8)0.46220 (16)0.24016 (14)0.0304 (3)
H1D0.5145000.4161760.1846710.046*
H1E0.4671920.5617610.1936000.046*
N10.31714 (12)0.2500000.1900 (2)0.0308 (5)
H10.3700710.2500020.2456860.037*
C20.33240 (18)0.2500000.0103 (3)0.0423 (7)
H2A0.3639740.352680−0.0181050.064*0.5
H2B0.2825140.254810−0.0464150.064*0.5
H2C0.3603340.142510−0.0193750.064*0.5
C10.27415 (12)0.0848 (3)0.2417 (2)0.0431 (5)
H1A0.2216960.0811490.1896850.065*
H1B0.2675630.0856000.3599660.065*
H1C0.304908−0.0211710.2095550.065*
Atomic displacement parameters (Å2) top
U11U22U33U12U13U23
Mn10.0267 (2)0.01811 (19)0.02363 (18)0.00153 (14)−0.00167 (14)−0.00124 (13)
Cl10.0216 (3)0.0195 (3)0.0391 (3)0.0000.0022 (2)0.000
Cl20.0261 (3)0.0238 (3)0.0369 (3)0.0000.0035 (2)0.000
Cl30.0399 (3)0.0291 (3)0.0272 (3)0.0000.0019 (2)0.000
O10.0400 (7)0.0259 (6)0.0252 (6)0.0060 (6)0.0004 (5)0.0000 (5)
N10.0249 (10)0.0309 (11)0.0366 (11)0.000−0.0078 (9)0.000
C20.0428 (17)0.0442 (17)0.0401 (15)0.000−0.0005 (12)0.000
C10.0383 (11)0.0367 (11)0.0542 (12)−0.0047 (9)−0.0053 (9)0.0116 (9)
Geometric parameters (Å, º) top
Mn1—Cl1i2.5276 (4)N1—C21.502 (3)
Mn1—Cl12.5277 (4)N1—C1ii1.490 (2)
Mn1—Cl22.5845 (4)N1—C11.490 (2)
Mn1—Cl2i2.5845 (4)C2—H2A0.9600
Mn1—O12.1929 (11)C2—H2B0.9601
Mn1—O1i2.1930 (11)C2—H2C0.9601
O1—H1D0.8513C1—H1A0.9800
O1—H1E0.8511C1—H1B0.9800
N1—H11.0000C1—H1C0.9800
Cl1i—Mn1—Cl1180.0H1D—O1—H1E104.6
Cl1i—Mn1—Cl2i85.151 (15)C2—N1—H1107.4
Cl1—Mn1—Cl2i94.849 (15)C1ii—N1—H1107.4
Cl1—Mn1—Cl285.151 (15)C1—N1—H1107.4
Cl1i—Mn1—Cl294.849 (15)C1ii—N1—C2111.36 (13)
Cl2—Mn1—Cl2i180.0C1—N1—C2111.36 (13)
O1i—Mn1—Cl1i91.53 (3)C1—N1—C1ii111.5 (2)
O1—Mn1—Cl191.53 (3)N1—C2—H2A109.6
O1i—Mn1—Cl188.47 (3)N1—C2—H2B109.3
O1—Mn1—Cl1i88.47 (3)N1—C2—H2C109.5
O1i—Mn1—Cl290.57 (4)H2A—C2—H2B109.5
O1—Mn1—Cl289.43 (4)H2A—C2—H2C109.5
O1—Mn1—Cl2i90.57 (4)H2B—C2—H2C109.5
O1i—Mn1—Cl2i89.43 (4)N1—C1—H1A109.5
O1—Mn1—O1i180.0N1—C1—H1B109.5
Mn1iii—Cl1—Mn194.982 (19)N1—C1—H1C109.5
Mn1—Cl2—Mn1iii92.269 (19)H1A—C1—H1B109.5
Mn1—O1—H1D116.4H1A—C1—H1C109.5
Mn1—O1—H1E111.2H1B—C1—H1C109.5
Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) x, −y+1/2, z; (iii) −x+1, y−1/2, −z+1.
Hydrogen-bond geometry (Å, º) top
D—H···AD—HH···AD···AD—H···A
N1—H1···Cl21.00 (2)2.67 (1)3.3685 (19)128 (1)
O1—H1D···Cl30.85 (1)2.32 (1)3.1479 (14)165 (1)
 

Acknowledgements

The authors thank Professor Hongling Cai from Nanjing University for providing the single-crystal diffractometer used in this work.

Funding information

Funding for this research was provided by: Natural Science Foundation of Shandong Province (grant No. ZR2023QA144 to Zhangran Gao); Natural Science Foundation of Fujian Province (grant No. 2025J08229 to Zhangran Gao); Scientific Research Launch Foundation of Fujian University of Technology (grant No. GY-Z24040 to Zhangran Gao).

References

Return to citationBhatia, S. N., O'Connor, C. J. & Carlin, R. L. (1976). Inorg. Chem. 15, 2900–2904.  CrossRef CAS Google Scholar
Return to citationCaputo, R. E., Willett, R. D. & Muir, J. A. (1976). Acta Cryst. B32, 2639–2642.  CrossRef CAS IUCr Journals Web of Science Google Scholar
Return to citationClark, S. J., Segall, M. D., Pickard, C. J., Hasnip, P. J., Probert, M. J., Refson, K. & Payne, M. C. (2005). Z. Kristallogr. 220, 567–570.  Web of Science CrossRef CAS Google Scholar
Return to citationDolomanov, O. V., Bourhis, L. J., Gildea, R. J., Howard, J. A. K. & Puschmann, H. (2009). J. Appl. Cryst. 42, 339–341.  Web of Science CrossRef CAS IUCr Journals Google Scholar
Return to citationDonnay, J. D. H. & Harker, D. (1937). Am. Mineral. 22, 446–467.  CAS Google Scholar
Return to citationHashim, K. K. M., Manoj, E. & Kurup, M. R. P. (2021). J. Mol. Struct. 1246, 131125.  CrossRef PubMed Google Scholar
Return to citationHumphrey, W., Dalke, A. & Schulten, K. (1996). J. Mol. Graph. 14, 33–38.  CrossRef CAS PubMed Web of Science Google Scholar
Return to citationKaminsky, W. (2005). J. Appl. Cryst. 38, 566–567.  Web of Science CrossRef CAS IUCr Journals Google Scholar
Return to citationLibowitzky, E. (1999). Monatsh. Chem. 130, 1047–1059.  Web of Science CrossRef CAS Google Scholar
Return to citationLin, C.-K., Shishido, R., Huang, Q.-R., Fujii, A. & Kuo, J.-L. (2020). Phys. Chem. Chem. Phys. 22, 22035–22046.  CrossRef CAS PubMed Google Scholar
Return to citationLu, T. & Chen, F. (2012). J. Comput. Chem. 33, 580–592.  Web of Science CrossRef PubMed Google Scholar
Return to citationMonkhorst, H. J. & Pack, J. D. (1976). Phys. Rev. B 13, 5188–5192.  CrossRef Web of Science Google Scholar
Return to citationRigaku OD (2018). CrysAlis PRO including ABSPACK. Rigaku Oxford Diffraction, Yarnton, England.  Google Scholar
Return to citationSheldrick, G. M. (2015a). Acta Cryst. A71, 3–8.  Web of Science CrossRef IUCr Journals Google Scholar
Return to citationSheldrick, G. M. (2015b). Acta Cryst. C71, 3–8.  Web of Science CrossRef IUCr Journals Google Scholar
Return to citationSnyder, R., Hsu, S. & Krimm, S. (1978). Spectrochim. Acta A 34, 395–406.  CrossRef Google Scholar
Return to citationSpackman, M. A. & Jayatilaka, D. (2009). CrystEngComm 11, 19–32.  Web of Science CrossRef CAS Google Scholar

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