organic compounds
Metformindiium dibromide
aFacultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, 72570 Puebla, Pue., Mexico, and bInstituto de Física Luis Rivera Terrazas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio y 18 Sur, 72570 Puebla, Pue., Mexico
*Correspondence e-mail: [email protected], [email protected]
The of the title salt, C4H13N52+·2Br−, is reported in space group P21/c, with Z = 4. Unexpectedly, this crystal is not isomorphous to the dichloride analogue, which has been reported in P21 (Z = 2). This originates from the shift of one halide anion in the which modifies the network of N—H⋯halide hydrogen bonds. For the here-reported structure, centrosymmetric R42(8) ring motifs are formed, affording a one-dimensional structure along [100], and the network is further expanded to a three-dimensional structure including larger ring motifs. This report is an example of a routine refinement carried out using now well-established techniques of quantum crystallography.
Keywords: crystal structure; metformin; dibromide salt; hydrogen bonds; QTAIM.
CCDC reference: 2578518
Structure description
In a recent article, Hill & Boeré (2025
) argue in favour of wider application of quantum crystallography methods in routine chemical crystallography. Nowadays, experimental data quality is enough, even at room temperature, to fit the observed structure factors against non-spherical features of the electronic density map ρ(r). As a result, refined structures are closer to those expected from neutron diffraction data. Most significantly, accurate positions for H atoms can be obtained, frequently with anisotropic displacement parameters. Such a precision is inherently unachievable in the context of an IAM (Independent Atom Model), since structure factors only include spherical scattering factors. In fact, the default SFAC command in SHELXL still refers to Cromer–Mann scattering factors for neutral atoms, taken from the 1992 edition of the International Tables (Wilson & Geist, 1992
; Sheldrick, 2015b
). In opposition, the ‘Hirshfeld Atom Refinement' approach (HAR; Capelli et al., 2014
; Kleemiss et al., 2021
) uses non-spherical form factors for each atom in the model. The computed map ρ(r) is then suitable for studying atoms, bonds, and lone pairs, using the concepts devised by Richard Bader in the QTAIM theory (Quantum Theory of Atoms in Molecules; Bader, 2005
). Indeed, some such ‘routine' structures have already been published in repository journals like Acta Cryst. C or IUCrData (e.g. Jones, 2025
; Samson et al., 2025
). We report here the HAR refinement for a new metforminium(2+) salt.
The title compound, abbreviated H2Mf2+·2Br−, is the dibromide salt of metformin [IUPAC name: [amino(dimethyliminio)methyl](diaminomethylidene)ammonium dibromide]. Metformin, Mf, is the first-line oral medication used to lower blood sugar in patients diagnosed with type-2 diabetes, and is sold in form of chlorhydrate, HMf+·Cl−. On the other hand, the monocation HMf+ and dication H2Mf2+ have been used as counter-ions for vanadium clusters, which are also probed as medication against diabetes (e.g. Polito-Lucas et al., 2021
; Chatkon et al., 2022
).
The here reported crystal structure for H2Mf2+·2Br− is not isostructural to H2Mf2+·2Cl− (Xia, 2023
; Hitchings et al., 2025
). The dichloride salt crystallizes in space group P21, with Z = 2, while the dibromide salt gives crystals in P21/c, with Z = 4 (Fig. 1
). Metrics for the dication H2Mf2+ are however similar in both salts, and its twisted conformation is maintained, regardless of the counter-ion (Table 1
). An overlay between both dications gives an rms deviation of 0.06 Å. The introduction of a c glide plane in the case of the dibromide salt should thus result from different positions of the halide ions in the asymmetric units. In turn, these positions should determine different networks of hydrogen bonds. This is indeed the case, as shown in Fig. 2
: the halide ions interact directly with the guanidine moiety of H2Mf2+, through charge-assisted (Cl−/Br−)⋯(H2N)+ contacts. Cl1/Br1 ions have the same position in the asymmetric units, and behave as acceptors with H2E as donor (Table 2
, entry 1). The key difference relates for Cl2/Br2 position: in the dichloride salt, Cl2 gives a double-acceptor hydrogen bond, with H4A and H5A as donors (Fig. 2
, top). In the case of the dibromide salt, only one hydrogen bond is formed, N4—H4A⋯Br2 (Fig. 2
, bottom; Table 2
, entry 2).
|
|
| Figure 1 Molecular structure of the title compound, with displacement ellipsoids at 30% probability level. The asymmetric unit and the labelling scheme are those adopted by Xia (2023 |
| Figure 2 Comparison of the asymmetric units for H2Mf2+·2Cl− (Xia, 2023 |
This difference for the position of one anion is reflected in different supramolecular features. The smallest ring motifs found in H2Mf2+·2Br− have graph set R42(8) and are centrosymmetric. Cations are connected through these rings, forming a one-dimensional network oriented along [100]. The remaining amine groups, N3 and N5, give other efficient N—H⋯Br interactions, to build a complex three-dimensional framework (Fig. 3
). A different image is obtained in the case of the dichloride salt: the bifurcated hydrogen bond including Cl2 affords an R21(6) ring motif, which is not present in the dibromide salt. The complete crystal structure is essentially diperiodic, and expands to a three-dimensional framework, documented in the supplementary information file available from the CrystEngComm article (Hitchings et al., 2025
; see Table S5 and Figure S3).
| Figure 3 Part of the crystal structure of the title compound, emphasizing R42(8) rings building the one-dimensional framework (yellow areas). Br atom interactions with N3 and N5 afford a three-dimensional supramolecular structure. |
Synthesis and crystallization
The title compound was synthesized by reacting at room temperature 3.4 g (20.5 mmol) of metforminium chloride dissolved in 15 ml of distilled water, with 6 ml of 48% HBr (53.0 mmol). After 15 min. of magnetic stirring, the solvent was evaporated at ambient conditions for about three weeks, to yield large polyhedric colourless single crystals (Fig. 1
, inset).
Refinement
Crystal data, data collection and structure details are summarized in Table 3
. The structure was first refined with SHELXL (Sheldrick, 2015b
) and then with OLEX2.refine using the GUI OLEX2 (Bourhis et al., 2015
; Dolomanov et al., 2009
). Further refinements were carried out using NoSpherA2 in the same GUI (Kleemiss et al., 2021
) and ORCA for DFT computations (Neese, 2022
). The last cycles for refining non-spherical scattering factors were based on a tetrameric model, [C4H13N5Br2]4, in order to take in account non-covalent bonds, using the PBE0 functional in conjunction with the def2-TZVPD basis set, including the DKH2 correction for relativistic effects. Coordinates and anisotropic displacement parameters were refined for all atoms, without restraints nor constraints. A batch of 12 cycles of refinement for this 96-atom model including 568 electrons is completed in a few hours on an unsophisticated desktop PC (i7–6700 CPU @3.40 GHz, 8 threads, 8 Gb RAM).
|
Structural data
CCDC reference: 2578518
contains datablock I. DOI: https://doi.org/10.1107/S2414314626007911/bt4203sup1.cif
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S2414314626007911/bt4203Isup2.hkl
Supporting information file. DOI: https://doi.org/10.1107/S2414314626007911/bt4203Isup3.cml
| C4H13N52+·2Br− | F(000) = 569.890 |
| Mr = 290.99 | Dx = 1.922 Mg m−3 |
| Monoclinic, P21/c | Ag Kα radiation, λ = 0.56083 Å |
| a = 10.3335 (3) Å | Cell parameters from 22061 reflections |
| b = 15.0443 (4) Å | θ = 2.7–29.9° |
| c = 6.4977 (2) Å | µ = 4.29 mm−1 |
| β = 95.427 (2)° | T = 295 K |
| V = 1005.61 (5) Å3 | Plate, colourless |
| Z = 4 | 0.29 × 0.2 × 0.07 mm |
| Stoe Stadivari diffractometer | 3212 independent reflections |
| Radiation source: Sealed X-ray tube, Axo Astix-f Microfocus source | 2465 reflections with I > 2σ(I) |
| Graded multilayer mirror monochromator | Rint = 0.031 |
| Detector resolution: 5.81 pixels mm-1 | θmax = 24.0°, θmin = 2.7° |
| ω scans | h = −14→14 |
| Absorption correction: multi-scan (LANA;Folkers-Karlsson et al., 2026) | k = −21→21 |
| Tmin = 0.288, Tmax = 0.741 | l = −9→9 |
| 31050 measured reflections |
| Refinement on F2 | 0 constraints |
| Least-squares matrix: full | Primary atom site location: dual |
| R[F2 > 2σ(F2)] = 0.030 | Secondary atom site location: difference Fourier map |
| wR(F2) = 0.070 | All H-atom parameters refined |
| S = 1.04 | w = 1/[σ2(Fo2) + (0.0267P)2 + 1.1908P] where P = (Fo2 + 2Fc2)/3 |
| 3212 reflections | (Δ/σ)max = 0.001 |
| 217 parameters | Δρmax = 0.85 e Å−3 |
| 0 restraints | Δρmin = −0.57 e Å−3 |
| x | y | z | Uiso*/Ueq | ||
| Br1 | 0.90769 (3) | 0.642983 (18) | −0.06038 (4) | 0.03418 (8) | |
| Br2 | 0.44558 (3) | 0.85428 (2) | 0.28006 (5) | 0.04693 (9) | |
| N1 | 0.81449 (19) | 0.41933 (14) | 0.5843 (3) | 0.0288 (4) | |
| N2 | 0.8743 (3) | 0.48014 (19) | 0.2806 (4) | 0.0341 (5) | |
| H2D | 0.916 (4) | 0.426 (3) | 0.231 (5) | 0.048 (10) | |
| H2E | 0.881 (4) | 0.529 (3) | 0.205 (6) | 0.061 (12) | |
| N3 | 0.7614 (2) | 0.56611 (16) | 0.4982 (3) | 0.0307 (5) | |
| H3 | 0.783 (4) | 0.585 (3) | 0.635 (7) | 0.065 (12) | |
| N4 | 0.6770 (3) | 0.70012 (18) | 0.3858 (5) | 0.0377 (5) | |
| H4A | 0.612 (4) | 0.736 (3) | 0.330 (7) | 0.058 (12) | |
| H4B | 0.749 (4) | 0.735 (3) | 0.465 (8) | 0.079 (15) | |
| N5 | 0.6060 (3) | 0.5722 (2) | 0.2185 (4) | 0.0354 (5) | |
| H5A | 0.568 (3) | 0.608 (4) | 0.118 (8) | 0.078 (15) | |
| H5B | 0.600 (4) | 0.506 (3) | 0.215 (5) | 0.046 (10) | |
| C1 | 0.7302 (4) | 0.4179 (3) | 0.7514 (6) | 0.0441 (7) | |
| H1A | 0.671 (5) | 0.360 (3) | 0.730 (7) | 0.080 (15) | |
| H1B | 0.675 (5) | 0.468 (3) | 0.748 (7) | 0.102 (18) | |
| H1C | 0.780 (5) | 0.402 (4) | 0.878 (6) | 0.12 (2) | |
| C2 | 0.8806 (4) | 0.3358 (2) | 0.5493 (6) | 0.0424 (7) | |
| H2A | 0.910 (6) | 0.306 (4) | 0.683 (8) | 0.13 (2) | |
| H2B | 0.964 (7) | 0.343 (3) | 0.475 (12) | 0.14 (3) | |
| H2C | 0.824 (5) | 0.295 (4) | 0.451 (12) | 0.15 (3) | |
| C3 | 0.8168 (2) | 0.48498 (16) | 0.4524 (3) | 0.0241 (4) | |
| C4 | 0.6799 (2) | 0.61371 (16) | 0.3628 (4) | 0.0257 (4) |
| U11 | U22 | U33 | U12 | U13 | U23 | |
| Br1 | 0.03867 (13) | 0.03190 (14) | 0.03194 (12) | 0.00332 (10) | 0.00313 (9) | −0.00091 (10) |
| Br2 | 0.05447 (18) | 0.04031 (17) | 0.04234 (15) | 0.01947 (13) | −0.01468 (12) | −0.00801 (12) |
| N1 | 0.0322 (10) | 0.0297 (11) | 0.0238 (9) | 0.0024 (8) | −0.0007 (7) | 0.0022 (8) |
| N2 | 0.0430 (13) | 0.0310 (13) | 0.0294 (11) | 0.0084 (11) | 0.0104 (10) | 0.0042 (10) |
| H2D | 0.06 (3) | 0.05 (3) | 0.04 (2) | 0.03 (2) | 0.017 (19) | 0.01 (2) |
| H2E | 0.06 (3) | 0.08 (3) | 0.05 (3) | −0.02 (2) | 0.01 (2) | 0.00 (2) |
| N3 | 0.0358 (11) | 0.0285 (11) | 0.0262 (10) | 0.0087 (9) | −0.0055 (8) | −0.0039 (9) |
| H3 | 0.08 (3) | 0.03 (2) | 0.09 (3) | 0.01 (2) | −0.01 (3) | 0.01 (2) |
| N4 | 0.0376 (13) | 0.0237 (12) | 0.0518 (16) | 0.0065 (10) | 0.0042 (11) | 0.0007 (11) |
| H4A | 0.08 (3) | 0.02 (2) | 0.08 (3) | 0.01 (2) | 0.03 (2) | −0.01 (2) |
| H4B | 0.06 (3) | 0.06 (3) | 0.11 (4) | 0.03 (3) | −0.03 (3) | 0.00 (3) |
| N5 | 0.0348 (12) | 0.0298 (13) | 0.0391 (13) | 0.0012 (10) | −0.0091 (10) | 0.0038 (11) |
| H5A | 0.02 (2) | 0.11 (4) | 0.11 (4) | 0.00 (2) | 0.02 (2) | 0.01 (3) |
| H5B | 0.07 (3) | 0.04 (2) | 0.019 (18) | 0.00 (2) | −0.016 (17) | 0.007 (17) |
| C1 | 0.0488 (18) | 0.052 (2) | 0.0331 (15) | −0.0020 (16) | 0.0106 (13) | 0.0068 (15) |
| H1A | 0.09 (3) | 0.07 (3) | 0.08 (3) | −0.05 (3) | 0.02 (3) | 0.00 (2) |
| H1B | 0.16 (4) | 0.07 (3) | 0.09 (3) | 0.05 (3) | 0.08 (3) | 0.05 (3) |
| H1C | 0.15 (5) | 0.18 (6) | 0.04 (2) | 0.03 (4) | 0.06 (3) | 0.03 (3) |
| C2 | 0.057 (2) | 0.0293 (15) | 0.0398 (16) | 0.0100 (14) | 0.0006 (14) | 0.0062 (12) |
| H2A | 0.17 (6) | 0.12 (5) | 0.09 (4) | 0.04 (4) | −0.04 (4) | 0.03 (4) |
| H2B | 0.17 (6) | 0.07 (4) | 0.18 (6) | 0.06 (4) | 0.07 (6) | 0.05 (4) |
| H2C | 0.06 (3) | 0.12 (5) | 0.25 (7) | −0.01 (3) | −0.04 (4) | −0.09 (5) |
| C3 | 0.0247 (10) | 0.0249 (11) | 0.0219 (9) | 0.0021 (8) | −0.0015 (8) | −0.0024 (8) |
| C4 | 0.0262 (10) | 0.0215 (10) | 0.0293 (10) | 0.0036 (9) | 0.0020 (8) | 0.0008 (9) |
| N1—C1 | 1.455 (3) | N4—C4 | 1.309 (4) |
| N1—C2 | 1.459 (4) | N5—H5A | 0.90 (5) |
| N1—C3 | 1.309 (3) | N5—H5B | 0.99 (4) |
| N2—H2D | 0.99 (4) | N5—C4 | 1.311 (3) |
| N2—H2E | 0.89 (5) | C1—H1A | 1.06 (4) |
| N2—C3 | 1.315 (3) | C1—H1B | 0.95 (4) |
| N3—H3 | 0.94 (4) | C1—H1C | 0.96 (5) |
| N3—C3 | 1.392 (3) | C2—H2A | 1.00 (5) |
| N3—C4 | 1.362 (3) | C2—H2B | 1.04 (6) |
| N4—H4A | 0.91 (5) | C2—H2C | 1.02 (5) |
| N4—H4B | 1.01 (5) | ||
| C2—N1—C1 | 115.2 (3) | H1B—C1—H1A | 108 (4) |
| C3—N1—C1 | 123.3 (3) | H1C—C1—N1 | 109 (3) |
| C3—N1—C2 | 120.7 (2) | H1C—C1—H1A | 99 (4) |
| H2E—N2—H2D | 116 (3) | H1C—C1—H1B | 120 (4) |
| C3—N2—H2D | 125 (2) | H2A—C2—N1 | 111 (3) |
| C3—N2—H2E | 119 (3) | H2B—C2—N1 | 114 (3) |
| C3—N3—H3 | 114 (2) | H2B—C2—H2A | 105 (5) |
| C4—N3—H3 | 122 (2) | H2C—C2—N1 | 111 (3) |
| C4—N3—C3 | 124.4 (2) | H2C—C2—H2A | 113 (5) |
| H4B—N4—H4A | 113 (4) | H2C—C2—H2B | 103 (5) |
| C4—N4—H4A | 125 (3) | N2—C3—N1 | 123.5 (2) |
| C4—N4—H4B | 123 (2) | N3—C3—N1 | 119.2 (2) |
| H5B—N5—H5A | 123 (4) | N3—C3—N2 | 117.3 (2) |
| C4—N5—H5A | 115 (3) | N4—C4—N3 | 117.9 (3) |
| C4—N5—H5B | 121.7 (19) | N5—C4—N3 | 119.6 (2) |
| H1A—C1—N1 | 107 (2) | N5—C4—N4 | 122.4 (3) |
| H1B—C1—N1 | 112 (2) | ||
| N1—C3—N3—C4 | −133.4 (2) | N2—C3—N3—C4 | 49.6 (3) |
| D—H···A | D—H | H···A | D···A | D—H···A |
| N2—H2E···Br1 | 0.89 (5) | 2.46 (4) | 3.343 (3) | 168 (3) |
| N4—H4A···Br2 | 0.91 (5) | 2.48 (4) | 3.355 (3) | 163 (3) |
| N2—H2D···Br1i | 0.99 (4) | 2.45 (4) | 3.341 (3) | 149 (3) |
| N3—H3···Br1ii | 0.94 (4) | 2.42 (4) | 3.321 (2) | 160 (4) |
| N4—H4A···N4iii | 0.91 (5) | 3.18 (4) | 3.579 (2) | 109 (3) |
| N4—H4B···Br1iv | 1.01 (5) | 2.48 (5) | 3.350 (3) | 144 (4) |
| N4—H4B···N4iv | 1.01 (5) | 3.06 (5) | 3.579 (2) | 113 (3) |
| N5—H5A···Br2iii | 0.90 (5) | 2.49 (5) | 3.346 (3) | 157 (5) |
| N5—H5B···Br2v | 0.99 (4) | 2.34 (4) | 3.322 (3) | 172 (3) |
| C1—H1A···N5vi | 1.06 (4) | 3.08 (5) | 3.501 (5) | 104 (3) |
| C1—H1B···N3 | 0.95 (4) | 2.43 (4) | 2.808 (5) | 104 (3) |
| C1—H1B···N5vi | 0.95 (4) | 2.99 (5) | 3.501 (5) | 115 (4) |
| C2—H2A···Br1vii | 1.00 (5) | 3.24 (6) | 3.630 (3) | 105 (4) |
| Symmetry codes: (i) −x+2, −y+1, −z; (ii) x, y, z+1; (iii) x, −y+3/2, z−1/2; (iv) x, −y+3/2, z+1/2; (v) −x+1, y−1/2, −z+1/2; (vi) −x+1, −y+1, −z+1; (vii) −x+2, y−1/2, −z+1/2. |
| Parameter | H2Mf2+·2Cl- a | H2Mf2+·2Br-/SHELXLb | H2Mf2+·2Br-/NoSpherA2 c |
| Bonds | |||
| N1—C1 | 1.473 (4) | 1.463 (3) | 1.455 (3) |
| N1—C2 | 1.469 (4) | 1.462 (4) | 1.459 (4) |
| N1—C3 | 1.335 (4) | 1.304 (3) | 1.309 (3) |
| N2—C3 | 1.321 (4) | 1.315 (3) | 1.315 (3) |
| N3—C3 | 1.386 (3) | 1.392 (3) | 1.392 (3) |
| N3—C4 | 1.378 (3) | 1.362 (3) | 1.362 (3) |
| N4—C4 | 1.325 (4) | 1.306 (4) | 1.309 (4) |
| N5—C4 | 1.310 (4) | 1.304 (4) | 1.311 (3) |
| Angles | |||
| C1—N1—C2 | 115.7 (3) | 115.1 (3) | 115.2 (3) |
| C1—N1—C3 | 122.9 (2) | 123.2 (2) | 123.3 (3) |
| C2—N1—C3 | 120.0 (3) | 120.9 (2) | 120.7 (2) |
| N1—C3—N2 | 123.3 (2) | 123.6 (2) | 123.5 (2) |
| N1—C3—N3 | 118.2 (2) | 119.5 (2) | 119.2 (2) |
| N2—C3—N3 | 118.3 (3) | 116.8 (2) | 117.3 (2) |
| C3—N3—C4 | 125.0 (2) | 124.8 (2) | 124.4 (2) |
| N3—C4—N4 | 118.1 (3) | 118.0 (3) | 117.9 (3) |
| N3—C4—N5 | 120.4 (3) | 119.5 (2) | 119.6 (2) |
| N4—C4—N5 | 121.6 (3) | 122.5 (3) | 122.4 (3) |
| Torsion angles | |||
| N1—C3—N3—C4 | -139.2 (3) | -133.1 (3) | -133.4 (2) |
| N2—C3—N3—C4 | 45.6 (4) | 49.7 (4) | 49.6 (3) |
| Notes: (a) Xia (2023); (b) SHELXL isotropic H atoms; free coordinates and displacement parameters for all atoms (152 parameters, R1 = 3.14 % for observed reflections, wR2 = 7.84 % for all reflections); (c) details in Table 3. |
Funding information
Funding for this research was provided by: Vicerrectoría de Investigación y Estudios de Posgrado, BUAP (grant No. 00118-PVG/2026; studentship to Luis E. Hernández-Márquez (Program Haciendo Ciencia en la BUAP Primavera 2026)); Consejo Nacional de Ciencia y Tecnología (grant No. 268178).
References
Bader, R. F. W. (2005). Monatsh. Chem. 136, 819–854. Web of Science CrossRef CAS Google Scholar
Bourhis, L. J., Dolomanov, O. V., Gildea, R. J., Howard, J. A. K. & Puschmann, H. (2015). Acta Cryst. A71, 59–75. Web of Science CrossRef IUCr Journals Google Scholar
Capelli, S. C., Bürgi, H.-B., Dittrich, B., Grabowsky, S. & Jayatilaka, D. (2014). IUCrJ 1, 361–379. Web of Science CSD CrossRef CAS PubMed IUCr Journals Google Scholar
Chatkon, A., Haller, J. P. & Haller, K. J. (2022). Acta Cryst. B78, 798–808. CrossRef IUCr Journals Google Scholar
Dolomanov, 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
Folkers-Karlsson, L. C., Celani, P., Hahn, F. & Richter, J. (2026). Z. Kristallogr. 241, 41–51. CAS Google Scholar
Hill, N. D. D. & Boeré, R. T. (2025). Chem. Methods 5, e202400052. Web of Science CrossRef Google Scholar
Hitchings, T. J., School Project Students, Shepherd, A., Alfredsson, M. & Saines, P. J. (2025). CrystEngComm 27, 7785–7791. CrossRef CAS Google Scholar
Jones, P. G. (2025). Acta Cryst. C81, 455–461. Web of Science CSD CrossRef IUCr Journals Google Scholar
Kleemiss, F., Dolomanov, O. V., Bodensteiner, M., Peyerimhoff, N., Midgley, L., Bourhis, L. J., Genoni, A., Malaspina, L. A., Jayatilaka, D., Spencer, J. L., White, F., Grundkötter-Stock, B., Steinhauer, S., Lentz, D., Puschmann, H. & Grabowsky, S. (2021). Chem. Sci. 12, 1675–1692. Web of Science CSD CrossRef CAS Google Scholar
Macrae, C. F., Sovago, I., Cottrell, S. J., Galek, P. T. A., McCabe, P., Pidcock, E., Platings, M., Shields, G. P., Stevens, J. S., Towler, M. & Wood, P. A. (2020). J. Appl. Cryst. 53, 226–235. Web of Science CrossRef CAS IUCr Journals Google Scholar
Neese, F. (2022). WIREs Comput. Mol. Sci. 12, e1606. Google Scholar
Polito-Lucas, J. A., Núñez-Ávila, J. A., Bernès, S. & Pérez-Benítez, A. (2021). IUCrData 6, x210634. Google Scholar
Samson, L., Banwart, L., Silwal, S. & Bond, M. R. (2025). IUCrData 10, x250747. Google Scholar
Sheldrick, G. M. (2008). Acta Cryst. A64, 112–122. Web of Science CrossRef CAS IUCr Journals Google Scholar
Sheldrick, G. M. (2015a). Acta Cryst. A71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Sheldrick, G. M. (2015b). Acta Cryst. C71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Stoe (2025). X-AREA Pilatus3SV. Stoe & Cie, Darmstadt, Germany. Google Scholar
Westrip, S. P. (2010). J. Appl. Cryst. 43, 920–925. Web of Science CrossRef CAS IUCr Journals Google Scholar
Wilson, A. J. C. & Geist, V. (1992). International Tables for Crystallography Vol. C, Mathematical, Physical and Chemical Tables. Dordrecht, Boston, London: Kluwer Academic Publishers. Google Scholar
Xia, Y.-P. (2023). Z. Kristallogr. New Cryst. Struct. 238, 799–800. CrossRef Google Scholar
This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.

journal menu
access



