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research papers
An advanced approach combining solid-state NMR with powder diffraction applied to newly synthesized isothiouronium salts
aDepartment of Structure Analysis, Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, Prague, 18221, Czechia, bDepartment of Solid State Chemistry, University of Chemistry and Technology, Prague, Technicka 5, Prague 6, Prague 16628, Czechia, and cInstitute of Macromolecular Chemistry of the Czech Academy of Sciences, Heyrovskeho nam. 2, Prague 6, Prague 16206, Czechia
*Correspondence e-mail: rohlicek@fzu.cz
The focus here is on the structural study of isothiouronium salts and the application of intermolecular distances obtained by solid-state NMR (ssNMR) in determining crystal structures from powder diffraction data. The synthesis of three new tetrafluoroborate salts and two bromide salts of isothiouronium compounds is presented first, followed by structural and spectroscopic studies. The tetrafluoroborates were further analysed using advanced ssNMR techniques to obtain a set of intermolecular 19F⋯13C, 11B⋯11B, 1H⋯1H and 13C⋯1H distances with an estimation of their precision. These distances were subsequently used as restraints in the determination process from simulated powder diffraction data. The results show that using intermolecular distances obtained by ssNMR can increase the probability of finding the correct solution, creating new opportunities for the structural analysis of poorly diffracting compounds. This approach paves the way for solving more complex substances, such as solvates, cocrystals or complex polymorphs with many independent molecules, where traditional powder X-ray diffraction methods often reach their limits.
1. Introduction
Research focused on the synthesis and study of new compounds is inherently tied to thorough analysis, as understanding their properties and behaviours is critical. The ability to study these compounds is a crucial aspect of the process, with structural analysis being an essential part of the research. In many cases, single-crystal X-ray or electron diffraction with a precise atomic resolution is the primary method of choice. However, not all compounds are suitable for this analysis, which then requires the use of other structural techniques such as powder diffraction (PD) and solid-state NMR (ssNMR).
In the case of PD, several approaches exist to find a structural model. In addition to reciprocal-space and dual-space methods (Giacovazzo, 1998; Palatinus, 2013
; Altomare et al., 2009
; Baerlocher et al., 2007
), which are commonly used in single-crystal diffraction, direct-space (DS) methods are widely used in PD to determine the structural model by applying global optimization principles. This is achieved by adjusting the position and conformation of molecular fragments within the cell. Individual implementations of DS methods allow the definition of geometric constraints to facilitate the search for solutions and reduce the computational time (David & Shankland, 2008
; David et al., 2006
; Favre-Nicolin & Černý, 2002
). Continued advances in the methodology of PD, coupled with programs using different approaches to determine crystal structures from PD data, have led to the procedure becoming applicable to relatively complex crystal structures (Hušák et al., 2018
, 2019
; Fernandes et al., 2007
). The recent development in DS methods has led to the speeding up of the process using the abilities of GPUs (Spillman & Shankland, 2021
), reducing the of the model by applying torsion angle restrictions (Kabova et al., 2017
), and combining PD with various techniques such as NMR, density functional theory (DFT) or theoretical prediction of the (Habermehl et al., 2022
).
Despite continuous advancements, the current limitation on the complexity of DS methods, quantified by the number of et al., 2018, 2019
; Fernandes et al., 2007
). Additionally, the efficacy of this methodology is significantly constrained by the quality of the diffraction pattern. Beyond instrumental influences, the primary challenge lies in the sample quality. For example, the sizes of crystalline domains and the presence of strain broaden the diffraction profile and reduce the resolution of the data, causing severe problems in solving the structure of even simple compounds (Schlesinger et al., 2022
).
In the case of ssNMR spectroscopy, ) and is generally based on the ability of advanced ssNMR techniques to measure intra- and intermolecular distances by analysing dipolar interactions. One of the original approaches to NMR crystallography, which allowed determination solely from NMR data, was based on the analysis of 1H–1H spin diffusion correlation signals combined with Monte Carlo simulations (Elena et al., 2006
). However, this approach requires extensive measurements of large sets of high-resolution 2D 1H–1H correlation spectra and the complex analysis of the resulting spin-diffusion build-up curves. Consequently, this methodology is not often applied. A much more promising approach, developed later, is based on the experimental determination of isotropic 1H and 13C chemical shifts and their systematic comparison with theoretical values calculated by DFT for the representative (large) set of model structures derived by the prediction method (Salager et al., 2010
). The potential of this approach has recently been demonstrated on several systems with one molecule in the asymmetric part of the (Baias et al., 2013
; Brus et al., 2016
, 2018
). However, the reasonable prediction of structural models of multicomponent solids such as cocrystals or polymorphic forms containing more symmetry-independent molecules requires the knowledge of key structural parameters, such as the mutual orientation of individual molecules and specific distances between them. For typical organic compounds, such information can be derived from the analysis of 1H–1H double quantum coherences (DQCs) and 1H–13C heteronuclear correlations (HETCOR) (Brown, 2012
; van Rossum et al., 1997
; Hušák et al., 2019
; Brus et al., 2022
). For compounds containing other NMR-active nuclei, measurements of internuclear distances involving nuclei with high natural abundance and high gyromagnetic ratio, such as 19F, 11B, 23Na or 31P, are particularly convenient.
Diffraction and ssNMR structural methods are frequently employed in a complementary manner to enhance and validate each other's findings. One of the typical bottlenecks of X-ray diffraction techniques is the determination of the hydrogen-atom position. In this case, ssNMR has allowed the identification of salts, cocrystals or tautomeric forms of compounds (Gumbert et al., 2016; Smalley et al., 2022
). Combining ssNMR with powder diffraction is particularly advantageous as the two methods require powder samples of similar quality. An important role of ssNMR is also in the validation of the results found by powder diffraction. To study the synergy of NMR crystallography with powder diffraction in more detail, we refer the reader to the article by Harris (2022
), which briefly describes the synergy of NMR spectroscopy and X-ray PD.
In the present article, we describe the preparation of isothiouronium salts in the form of bromides and tetrafluoroborates using ). The variability in the thiourea derivatives and alkylating agents used results in tunability of the properties of the resulting salts. For this reason, they have found applications in numerous fields of chemistry. In organic chemistry, they are often used in the preparation of many groups of compounds such as S-glycosides, selenoglycourils and cytotoxic 4-amino-5-cyano-2-sulfonylpyrimidines (Chauhan et al., 2015
; Magné & Ball, 2019
; Wu et al., 2016
; Galochkin et al., 2023
; Khochenkov et al., 2020
). They have also found application in the formation of bactericidal (Cohen et al., 2017
) and anticandidal (El-Zahed et al., 2023
) polymers as well as bactericidal micelle-forming surfactants (Valeeva et al., 2021
). Their antitumour activity against leukaemia cells is particularly interesting, with a selectivity index higher than 20 (Ferreira et al., 2017
). The cause of cell death was found to be decreased levels of anti-apoptotic protein, causing DNA damage and mitotic arrest (Assunção et al., 2019
). Further studies also described activities against breast (Munaretto et al., 2020
), melanoma (Alcolea et al., 2019
), lung and prostate cancer cell lines (Alcolea et al., 2016
). Currently, 130 crystal structures of isothiouronium salts are documented in the Cambridge Structural Database (CSD; Groom et al., 2016
).
We synthesized 2-(benzylthio)-4,5-dihydro-1H-imidazol-3-ium bromide (1·Br), 2-(benzylthio)-4,5-dihydro-1H-imidazol-3-ium tetrafluoroborate (1·BF4), 2-(4-methylbenzyl)isothiouronium bromide (2·Br), 2-(4-methylbenzyl)isothiouronium tetrafluoroborate (2·BF4), 2-(naphthalen-2-ylmethyl)isothiouronium bromide (3·Br) and 2-(naphthalen-2-ylmethyl)isothiouronium bromide (3·BF4) and structurally describe them here, with the exception of the already published 3·Br (Eigner, 2020). Fig. 1
shows the molecular scheme.
![]() | Figure 1 The isothiouronium cation labelling scheme. The ethylene bridging in 1 is depicted with a hashed bond, the methyl group in 2 is depicted with a wavy bond and the expansion to naphthyl in 3 is depicted with dashed bonds. |
This work presents a comprehensive structural and spectroscopic study of these newly synthesized isothiouronium salts. We utilized their structural models to evaluate a novel combined approach employing ssNMR and PD for 19F–13C, 11B–11B, 1H–1H and 1H–13C correlations, allowing us to estimate the corresponding intermolecular distances. These distances were then used as additional restraints in the determination process to assess the efficacy of this new methodology.
determination. These compounds are relatively simple in terms of DOF and diffract very well, making it straightforward to determine their crystal structures by powder diffraction. Therefore, to test the abilities of the new approach, we applied it to calculated data with significant peak broadening to simulate nanocrystalline or strained samples, which makes the structure solution problematic. Specific ssNMR experiments were conducted to analyse2. Results and discussion
2.1. Synthesis of isothiouronium compounds
All the materials used in the preparation of the isothiouronium salts were purchased from commercial suppliers (Merck, TCI, Penta) and used without further purification.
Bromides 1·Br, 2·Br and 3·Br were prepared using an equimolar ratio of thiourea (2-imidazolinethione) and arylbromide. The thiourea was dissolved (suspended) in acetonitrile (20 ml) and to the resulting solution (suspension) the corresponding amount of arylbromide was added. The reaction mixture was stirred using a magnetic stirrer at room temperature for 3 h. The resulting precipitate was filtered off and dried.
Tetrafluoroborates 1·BF4, 2·BF4 and 3·BF4 were prepared from the bromides using The isothiouronium bromides were suspended in distilled water (3 ml) with an equimolar amount of sodium tetrafluoroborate. The reaction mixture was shaken at 350 rpm at room temperature for one week. The resulting solid was then filtered off, washed with distilled water (3 ml) and allowed to dry. The resulting material was crushed in an agate mortar with a pestle and shaken in distilled water at 350 rpm at room temperature for a week to dissolve any remaining inorganic salts. The material was then filtered off and allowed to dry. The procedure was unsuccessful for samples 1·BF4 and 2·BF4. These samples were then subjected to the same treatment a second time, but replacing the equimolar amount of sodium tetrafluoroborate and distilled water with a of sodium tetrafluoroborate (3 ml). The transition under these conditions was successful.
2.2. Liquid NMR and IR spectroscopy
The prepared compounds were analysed using 1H NMR and 13C NMR in perdeuterated dimethyl sulfoxide. The NMR analysis confirmed the structures of the prepared compounds, and in the cases of 1·Br, 1·BF4, 2·Br and 2·BF4 the spectra did not show any significant differences before and after the However, in the case of 3·Br, splitting of isothiouronium NH2 peaks was observed. After the to 3·BF4 the NH2 peaks merged, forming a single broad peak. For detailed IR and NMR results see Section S1 and Fig. S1 in the supporting information.
2.3. Crystallographic study
All presented structures crystallized in the monoclinic system: samples 1·Br, 1·BF4 and 2·Br in centrosymmetric P21/c and P21/n space groups, and 2·BF4 and 3·BF4 in the non-centrosymmetric P21 (Table 1). In all cases, the consisted of one isothiouronium cation and one anion, which is disordered over two positions in 2·BF4 (Fig. 2
). The published structure 3·Br (Eigner, 2020
) is included in the discussion for completeness. Due to the differences in atomic labelling, we have assigned common labels for all the cations that will be used for the description of structural differences in this work (Fig. 1
). The bond lengths and angles vary little among the studied compounds and do not significantly differ from the expected values. Large differences between C(Me)—S and C(iTh)—S can be attributed to the partial double-bond character of the C(iTh)—S bond. The differences among the bond angles are more pronounced; there is a clear tendency in the bromides towards higher C(Ar)—C(Me)—S angle values, with an average value of 112.9°, while the tetrafluoroborates tend towards lower C(Ar)—C(Me)—S angle values, with an average value of 107.3°. Another significant difference can be observed among the S—C(iTh)—N1 and S—C(iTh)—N2 angles; the corresponding angles are more obtuse in compounds 1·Br and 1·BF4 with average values of 127.7° and 121.1°, respectively, while for 2·Br, 2·BF4, 3·Br and 3·BF4 the average values are 121.8° and 116.8°. These differences are most likely caused by the steric requirements of the five-membered ring present in structures 1·Br and 1·BF4. Among the newly presented crystal structures, the C(Me)—S—C(iTh) angle exhibits a small variance, with the largest deviation being 1.6° from the average value of 102.7°, while for the published structure 3·Br, the corresponding angle has a value of 96.99 (16)°. For further information on bond lengths and angles, see Tables S1 and S2 in the supporting information.
|
![]() | Figure 2 The asymmetric parts of the unit cells of the studied compounds, with displacement ellipsoids drawn at the 50% probability level. Weakly occupied atoms are depicted as transparent with dashed bonds. |
The possible rotation of two single bonds, C(Ar)—C(Me) and C(Me)—S, and one partial single bond, S—C(iTh), allows for conformational changes in the structures of the studied compounds. Among the newly studied compounds, rotation about the partial single bond S—C(iTh) appears to be very constrained, with an average absolute value of the torsion angle C(Me)—S—(iTh)—N2 of 168.6° and the largest difference being 5.3° in the case of structure 1·BF4. In structure 3·Br, the corresponding torsion angle is 110.7 (3)°. The rotation about C(Ar)—C(Me) does not seem to follow any structure-related trend, but in all the structures it is significantly different from a planar arrangement, most likely due to steric interference with the H atoms of the aromatic ring. The average absolute value of the C(Ar1)—C(Ar)—C(Me)—S torsion angle is 101.6° with the largest difference being 26.7° in structure 2·Br. In the case of rotation about the C(Me)—S single bond, a clear structure-related trend is observed. Among the bromides, the isothiouronium cation bends significantly, with an average absolute value of C(Ar)—C(Me)—S—C(iTh) of 76.2° and the largest difference being 13.2° in the case of 1·Br. Among the tetrafluoroborates, the cations are almost straight, with the average absolute value of C(Ar)—C(Me)—S—C(iTh) being 168.6° and the largest difference being 5.3° in structure 3·BF4 (Fig. 3). The straightening of the isothiouronium cation in the structures of the tetrafluoroborates is most likely caused by the anisotropic behaviour of the tetrafluoroborate anion, which only allows the formation of strong hydrogen bonds in specific directions. However, the bromide anion can form hydrogen bonds in almost any direction, giving the weaker non-covalent interactions a larger influence on the cation conformation. For further instrumental and structural descriptions see Section S3 and Table S1–S5 in the supporting information.
![]() | Figure 3 Overlay of the isothiouronium cations. Cations from 1·Br, 2·Br and 3·Br are depicted in pink, magenta and purple, respectively, and cations from 1·BF4, 2·BF4 and 3·BF4 are depicted in yellow, orange and red, respectively. |
2.4. ssNMR spectroscopy
Before the ssNMR analysis, the purity of the powdered samples was tested by phase analysis (Section S6 and Figs. S23–S25 in the supporting information).
A prerequisite for reliable determination of interatomic distances from NMR spectra is sufficient spectral resolution to allow unambiguous identification of individual atoms. However, as the structural differences between the aromatic C atoms are relatively small, not all the signals are resolved in the 13C cross-polarization/magic-angle spinning (CP/MAS) NMR spectra [Fig. 4(a)]. This issue is much more complex for 1H combined rotation and multipulse spectroscopy (CRAMPS) NMR spectra [Fig. 4
(b)], where the spectral resolution and dispersion are strongly dependent on the structural diversity of the molecule and the presence of specific non-covalent interactions, e.g. hydrogen bonding. Nevertheless, by complementing the data with two-dimensional (2D) 1H–13C frequency switched Lee–Goldburg (FSLG) HETCOR, 1H–1H double-quantum/single-quantum (DQ/SQ) CRAMPS and 19F–13C CP/MAS NMR spectra and quantum chemical calculations (Brus et al., 2016
), all the key signals were assigned reliably (for details see Section S4, Tables S6–S8 and Figs. S9–S11).
![]() | Figure 4 (a) 13C CP/MAS NMR, (b) 1H CRAMPS and (c) 19F MAS NMR spectra of the crystalline compounds 1·BF4, 2·BF4 and 3·BF4. The molecular structures with the atom numbering are displayed above the spectra. H atoms are numbered according to their parent atoms, so H2 is on C2, H3 is on C3, H71 and H72 are on C7, etc. |
Due to the methyl substitution, the structural differences between the aromatic H atoms are sufficient to be resolved in 1H CRAMPS NMR. Consequently, all 1H resonances can be distinguished for 2·BF4 [Fig. 4(b)]. For both 3·BF4 and 2·BF4, the signals of the NH2 H atoms are broadened due to the strong dipolar interactions with 14N and due to the resonance effects involving NH and NH2 groups. In the absence of a methyl unit in the molecule of 1·BF4, the 1H spectral resolution is again slightly reduced. Nevertheless, at least two key resonances can be used to trace inter- or intra-molecular polarization transfers. Namely, it is the resonance of the CH71 H atom at 2.85 p.p.m. and the signal of NH H atoms resonating at 8.21 and 7.94 p.p.m.
When looking at the BF4− counterion, the narrow symmetric 11B MAS NMR signals at ca −1 p.p.m. detected for all systems (Section S5, Fig. S12) indicate tetrahedral coordination of the B atom, the local geometry of which is highly symmetrical and probably effectively motion averaged due to the tumbling of the BF4− ion. This assumption is further supported by the 19F MAS NMR spectra [Fig. 4(c)] in which single narrow signals at ca −145 p.p.m. are detected. This finding thus indicates the structural and of all F atoms in the BF4− anion caused by the reorientation of BF4− anions in the crystal structure.
2.4.1. Measurement of 19F⋯13C interatomic distances
In NMR spectroscopy, information about interatomic distances rIS is generally encoded in the strength of dipolar interactions DIS (DIS ≃ ). Consequently, the measurement of internuclear distances is limited to a relatively narrow range when the maximum distances that can be reliably measured do not exceed a length of about 10 Å in ideal conditions (Yuen et al., 2010
). This is because there are no measurable dipolar interactions between more distant spins. Owing to the absence of observable very long range dipolar interactions, the detected NMR signals do not show any additional oscillation or evolution that can be interpreted in terms of internuclear distances. In practice, however, due to experimental imperfections and other unwanted effects such as dipolar truncation (Bayro et al., 2009
), the typical maximum interatomic distance detected in organic solids is usually no greater than 6–8 Å.
Since there is only one type of 19F atom in the studied compounds, the simplest way to probe dipolar couplings between 19F and 13C heteronuclei is a variable contact time cross-polarization experiment. The strength of the dipolar interactions is then inversely proportional to the time constant TIS, which describes the initial rate of the build-up of 13C NMR signals as formed by the cross polarization from 19F spins. This polarization transfer is described by the following function:
where T1ρ describes spin–lattice relaxation in the rotating frame. Since the time constant TIS is proportional to the third power of the interatomic distance, we first calibrated the TIS ≃ r3 dependence using the parameters determined for the crystalline molecular system with known local geometry and derived As the investigated systems contain the BF4− ion, which is used as a probe for the measurement of 19F⋯13C interatomic distances, we calibrated the rate of 19F–13C polarization transfer using the model crystalline compound sodium trifluoroacetate (TFA), which contains a CF3 unit. This CF3 unit is also represented by a single 19F MAS NMR signal, suggesting some rotational motion or jumps. Consequently, in this calibration the influence of the existence of three spectroscopically unresolved F atoms is also involved. Therefore, we believe that the TFA model system with the CF3 is structurally close enough to the structural motifs in the investigated systems with the BF4− anion to provide a representative model that can be used to calibrate the polarization transfer from BF4− ions. Bearing in mind all the complexity of the cross-polarization transfer, which depends not only on interatomic distances but also on local mobility and the number of interacting spins (Kolodziejski & Klinowski, 2002), the time constants TIS = 0.5 ± 0.1 and 1.6 ± 0.2 ms and the corresponding distances of ca 1.4 and 2.5 Å obtained for the model TFA system basically follow the expected dependence (see Section S5.1 and Figs. S14 and S15). This dependence was then used to convert the determined TIS constants to 19F⋯13C interatomic distances.
Fig. 5(a) demonstrates typical 13C{19F} CP/MAS NMR spectra measured at different 19F–13C cross-polarization mixing times (0.4 and 10 ms, 2·BF4 compound). The build-ups of the corresponding 13C{19F} CP/MAS NMR signals are then presented in Fig. 5
(b), and the complete experimental data collected for all compounds are summarized in Section S5.2 and Fig. S16. The corresponding TIS time constants, together with the 19F⋯13C interatomic distances estimated using the derived are listed in Table S9. Since the time constants TIS were determined with an experimental error of ca ±0.5–0.7 ms, the uncertainty in the estimated distances is at least about ±0.2 Å. However, bearing in mind other contributions affecting the determination of the TIS constants, such as partial overlap of 13C resonance frequencies, local static disorder, motion averaging of dipolar couplings caused by the supposed rotation of the BF4− anion or the number of interacting spins, we suppose that our measurement is burdened with an additional uncertainty. Consequently, we assume that the interatomic 19F⋯13C distances are rather estimated with an experimental error of about ±0.3–0.4 Å.
![]() | Figure 5 (a) 13C{19F} CP/MAS NMR spectra of crystalline 2·BF4 measured at two different cross-polarization mixing times. (b) 19F–13C cross-polarization build-up curves created for atoms C1, C4, C7 and C8. (c) A typical 11B–11B DQC build-up recorded for 2·BF4. (d) The dependence between the recoupling time at maximum DQ coherence intensity tm and the interatomic 11B⋯11B distance r. The relation r = ![]() ![]() |
For the 2·BF4 compound, for instance, the fastest increase in the signal intensities was observed for atoms C7 and C8, for which the cross-polarization 19F–13C rate constants TIS were determined to be 2.8 and 3.3 ± 0.5 ms, respectively. This indicates a shortest interatomic distance of about 3.1–3.3 ± 0.4 Å. A slightly slower signal build-up with a TIS of 6.6 ms was observed for atom C1, which reflects a slightly more distant 19F–13C spin pair of ca 4.2 ± 0.4 Å. The slowest build-up characterized by the longest TIS time constant of 8.6 ms was then detected for atom C4, reflecting an interatomic distance of about 4.6 ± 0.4 Å. Overall, the short-range one-bond F⋯C distances of ca 1.4 ± 0.2 Å are characterized by TIS constants of about 0.5 ms, while the two-bond spin pairs of ca 2.5 ± 0.2 Å have TIS constants of about 1.5 ms. The medium-range F⋯C distances up to ca 3.0–4.0 ± 0.4 Å are typically reflected by TIS ranging from 2.7 to 5.0 ms, whereas the long-range distances of about 4.2–5.0 ± 0.4 Å have TIS of about 6–10 ms.
In this context it is worth mentioning that the use of cross-polarization techniques to monitor interatomic distances requires careful Hartmann–Hahn matching to the central band condition. When the experiment is Hartmann–Hahn matched to the ±1 spinning side band condition, especially at high MAS frequencies, the 13C{19F} CP/MAS NMR signal build-up exhibits a dipolar oscillation, the precise detection of which is very time consuming (van Rossum et al., 2000). When matched to the central Hartman–Hahn condition, the dipolar oscillation is suppressed and the interatomic distance can be probed via analysis of the initial build-up of the 19F–13C signals. However, since the experiment does not work with precisely defined spin pairs, and the TIS parameter rather operates with the polarization transfer between spin baths, such an analysis requires calibration using standard systems. To avoid this problem there are other methods that can be used to monitor heteronuclear dipolar interactions in solids, and among them the rotational echo double resonance (REDOR) technique is one of the most efficient (Shcherbakov & Hong, 2018
).
Note also that explicit signal assignment and a high level of spectral resolution, when all signals are separated, are beneficial for obtaining reliable distance information. The presence of disorder or signal overlap may reduce the accuracy of the derived structural parameters (Cordova et al., 2023). However, in the systems investigated, such local disorder of the BF4− anion had only a limited effect on the results obtained. Nevertheless, further research is needed in this direction, particularly to identify the limitations and possibilities of of more disordered and near-amorphous organic solids.
2.4.2. Measurement of 11B⋯11B interatomic distances
11B nuclei, owing to their high gyromagnetic ratio and high are particularly suited to probing long-range dipolar contacts in multicomponent systems and, as demonstrated previously, the evolution of 11B–11B DQC allows the determination of 11B⋯11B distances up to ca 7 Å (Brus et al., 2017; Hušák et al., 2018
). Such a typical build-up of 11B–11B DQC showing a maximum at ca tm = 3.2 ± 0.4 ms is demonstrated in Fig. 5
(c) for 2·BF4. By applying the previously derived r =
, where r represents the 11B⋯11B interatomic distance and tm is the recoupling time at which the DQC reaches maximum intensity [Fig. 5
(d)], the tm values indicate typical 11B⋯11B interatomic distances of ca 5.3 ± 0.4 Å. When considering the existence of a distribution of interatomic distances, for instance by the presence of two B–B pairs, then the corresponding typical interatomic distances could be ca 5.0 and 5.5 ± 0.4 Å. The distances obtained in this way for all the investigated compounds are summarized in Table S10. Also, in this case, the determined B⋯B distances must be considered as relatively rough approximations. This is mainly because the build-up of 11B NMR signals is not only driven by the evolution of the DQCs of the two interacting 11B spins in the spin pair but also influenced by additional relatively strong interactions with the directly coupled 19F spins. These interactions can cause additional oscillations of the 11B NMR signals and thus have an effect on the determination of the 11B⋯11B interatomic distance. However, due to hardware limitations, these 19F–11B interactions could not be eliminated.
2.4.3. 1H–1H DQ/SQ CRAMPS NMR correlations
If the resolution of a 1H CRAMPS spectrum is good enough, then the corresponding 2D 1H–1H DQ/SQ CRAMPS NMR spectra (Fig. 6) can be used to trace 1H⋯1H interatomic dipolar contacts in order to obtain additional information on the corresponding distances. For the system 2·BF4 and due to the good resolution of 1H resonances, the corresponding 2D 1H–1H DQ/CQ MAS NMR spectrum [Fig. 6
(a)] shows an almost complete set of correlation signals, reflecting dipolar contacts between 1H spins. However, the majority of the detected correlation signals reflect structurally nearly useless intramolecular short-range 1H⋯1H dipolar contacts, which do not provide essential information on molecular packing. Moreover, these correlation signals, e.g. between atoms H9 and H3, H6 or H5 [in Fig. 6
(a) represented by blue labels 3×9, 6×9 or 5×9, respectively], remain strong even in the spectra measured with a relatively large number of recoupling loops (L = 4 or 5, Figs. S18 and S19). In such a case, much more useful are the 1H–1H autocorrelation signals between aromatic CH H atoms, since they only form when two molecules are appropriately oriented and relatively very close to each other. As the autocorrelation signals only evolve when the corresponding atoms are sufficiently close together (no more than about 5.0–5.5 Å), their presence or absence basically defines the molecular arrangement in the For the 2·BF4 compound, we focused on the autocorrelation signals involving the aromatic atoms H2, H5, H3 and H6, whose signals are well separated [in Fig. 6
(a) these autocorrelation signals are shown as red dots and labelled 2×2, 3×3, 5×5 and 6×6].
![]() | Figure 6 1H–1H DQ/SQ CRAMPS NMR correlation spectra for (a) 2·BF4 and (b) 1·BF4 measured at a spinning frequency of 10 kHz and with four recoupling loops. The short-range intramolecular 1H–1H correlation signals, e.g. between atoms H9 and H3, H6 or H5, are represented by blue labels 3×9, 6×9 or 5×9, respectively. The medium- and long-range intermolecular 1H–1H autocorrelation signals involving, for example, the aromatic atoms H2, H3, H5 and H6 are shown as red dots and labelled 2×2, 3×3, 5×5 and 6×6, respectively. |
Specifically, the presence of strong H3–H3 autocorrelation signals and a slightly weaker H6–H6 autocorrelation signal indicates that the corresponding interatomic distances are less than ca 4.5 Å, whereas the absence of H2–H2 even recorded with the longest recoupling time indicates that the corresponding intermolecular interatomic distance must be longer than ca 5.0–5.5 Å (Brus et al., 2016). Similarly, for the 1·BF4 compound, we focused only on the analysis of the 1H–1H correlations involving the signals of CH2 atom H71 [Fig. 6
(b)]. Besides the expected very short intramolecular H71⋯H72 pair with a distance of ca 1.8 Å, we identified a second short-range pair (probably intermolecular) involving atom H2. Bearing in mind the relatively high intensity of the correlation signal and relatively short recoupling times, the distance in this H71⋯H2 pair can be estimated in the range of ca 2.0–2.5 Å. All the recorded spectra and extracted distances are summarized in Figs. S17–S19 and Table S11.
2.4.4. 1H–13C HETCOR MAS NMR correlation
On the same lines as for the 1H–1H correlation experiments, useful information about the interatomic distances between 1H and 13C nuclei could be derived from the 1H–13C HETCOR MAS NMR spectra, but only for the 2·BF4 system, which had a very good resolution in the 1H dimension (Fig. 7). Specifically, we monitored the 1H polarization transfer from methyl H atoms (H9). This is because the 1H resonances of methyl groups usually exhibit long lifetimes, allowing large distances to be bridged. In addition, the intramolecular distances between atoms H9 and C7 and C1 of about 6.2 and 4.7 Å, respectively, are too large to allow efficient polarization transfer. Consequently, the H9–C7 correlation signal detected within the 400 µs CP mixing time (Fig. 7
and Fig. S20) must reflect intermolecular contacts. Following the literature data (van Rossum et al., 1997
; Brus & Jegorov, 2004
), the corresponding interatomic distances are about 3.5–4.0 Å, because the intramolecular H9–C2 correlation signal reflecting a similar distance is of a comparable intensity. In this regard, the correlation signal H9–C1 then seems to indicate an intermolecular dipolar contact reflecting a similar interatomic distance (<4.0 Å), because the corresponding intramolecular distance is considerably larger (4.7 Å).
![]() | Figure 7 Expanded regions of the 1H–13C FSLG HETCOR NMR spectrum of the 2·BF4 compound measured at 400 µs cross-polarization contact time. |
In summary, by using a range of experimental techniques, we have obtained a representative set of intermolecular distance restraint data involving 19F⋯13C pairs (12×), 11B⋯11B pairs (3×), 1H⋯1H pairs (7×) and 13C⋯1H pairs (2×) which were subsequently used for determination from simulated X-ray PD data (Table 2 and Table S12).
|
2.5. Applying and testing the combined approach of ssNMR and PD
We modified the source code of the FOX program (Favre-Nicolin & Černý, 2002) to apply the distances obtained by ssNMR to the process from PD data. The global optimization algorithm in FOX uses a cost function (CF) to evaluate the quality of the model and searches for a solution by minimizing the CF. The CF includes the quality of the profile fit and several other terms that reflect the additional restraints applied. The equation of the cost function used in FOX can be written as
where individual χ2 are terms for agreement of the profile fit, geometric restraints, anti-bump and bond valences, and si are their scale factors. We took advantage of this definition and introduced an additional parameter reflecting the agreement of the intermolecular distances (), defined in the same way as
(Favre-Nicolin & Černý, 2004
), and its scale factor s4,
where di is the actual value, di0 is the defined restraint value, δi means the range without penalty, σi plays the role of the precision of the defined value and imd (or IMDs) abbreviates the term intermolecular distances.
The intermolecular distances obtained by ssNMR, summarized in Table 2, were used in the determination process of compounds 1·BF4, 2·BF4 and 3·BF4 from simulated X-ray PD data. These compounds are relatively simple to solve because they have only 15 This also confirmed the initial testing with simulated data corresponding to the laboratory instrument (FWHM = 0.1° 2θ), where almost all runs executed with 106 trials ended up with a correct solution. With such a resolution and simple compounds, the structure solution process from powder data is straightforward and the impact of additional information on the success rate is negligible. Additional information in the process is useful only in situations where the success rate is small or even zero. To create a scenario where finding the structure solution is challenging, we simulated low-quality data. We generated two theoretical X-ray PD patterns for each of 1·BF4, 2·BF4 and 3·BF4 in the program Mercury (Macrae et al., 2020
) (from 4° to 50° 2θ, step size 0.01, λ = Cu Kα1) with significant peak broadening. We set the FWHMs to 0.5° and 1.5° 2θ to simulate bad and extremely bad diffraction data, respectively. These simple simulations would be more appropriate for a situation where too wide a slit has been used than for badly diffracting samples, where the peak broadening is usually induced by stressed crystallites, small particles or a combination of the two, and the profile is difficult to describe with the available profile functions.
The success rate of solving the structures from such poor-quality data quickly dropped to about 2–50%; results of normal runs are shown in Fig. 8. Subsequently, these patterns were used step by step to solve the crystal structures with and without using the additional IMDs (Table 2
) obtained from NMR crystallography.
![]() | Figure 8 Individual graphs showing a sorted list of solutions by r.m.s.d. (only the N best solutions out of 1000 are depicted for clarity in each graph) of the process of 1·BF4, 2·BF4 and 3·BF4 from simulated X-ray PD data and their similarity to the reference crystal structures as an r.m.s.d. value of the closest atomic positions in the overlapped molecular clusters. Patterns with FWHM = 0.5° (left) and FWHM = 1.5° (right) were used. Approximately at r.m.s.d. = 1 Å, the solutions lost their similarity to the reference structure. The black line in all graphs notes this value. Individual numbers of solutions with r.m.s.d. < 1 Å are specified in Table 3 ![]() |
The initial models for FOX were taken from the structures solved in this work and were randomized in their molecular positions and conformations. In this way, we obtained one randomized model for every compound that was used as a starting model for all testing runs to ensure the same starting conditions for all tests. The parallel tempering algorithm for the structure solution process was set to perform 1000 runs for every parameter set, each with 105 trials. Parameters s4, σ and δ in can be set individually, and their values will affect the final success rate of the calculation. The scale factor s4 gives the overall influence of
for the resulting CF, and σ in this parabolic formula is actually another representation of the scale factor. Therefore, for simplicity in testing, only different values of the parameter s4 were tested, while the values of σ were set to 1 Å and the values of δ were set according to the precision of the ssNMR distances in Table 2
. Four parameter sets were defined for every compound: one normal run that did not use the IMDs, and three that used the IMDs listed in Table 2
and differed only in the scale factor s4, which was set to 104, 105 and 106. The aim was to estimate the influence of the scale factor on the structure solution process. Every result list was classified on the basis of the similarity to the reference structure obtained by single-crystal X-ray diffraction (SCXRD). The similarity was evaluated as the r.m.s.d. value of the minimal distances of atomic positions in the overlapped molecular clusters that also contain anions using modified code of CrystalCMP (Rohlíček & Skořepová, 2020
).
The results show that using IMDs in the ). IMDs were more advantageous for low-resolution data sets where is rather difficult due to the lack of structural information in the PD data. In these situations, the additional structural restrictions helped overcome this problem and significantly increased the probability of finding the correct solutions. For the scale factor s4, we can conclude that a value that is too low may have almost no effect on the success rate, while a value that is too high may yield a worse result than some lower values of the scale parameter (Fig. 8
). Although these findings are as expected, testing them on a larger data set could provide better insight into the effect of the scale parameter on the success rates. In the case of 3·BF4, the distance F⋯C1 was estimated from the ssNMR experiment as 4.5 ± 0.5 Å, but the distance from SCXRD was found to be 5.112 (3) Å. The difference, including accuracy, is approximately 0.1 Å, resulting in slightly higher absolute C⋯F values for all individual correct solutions. However, its influence on the success rates compared with those for the 1·BF4 and 2·BF4 compounds is not notable (Table 3
). The results are depicted in Fig. 8
, where all results of every determination process were sorted on the basis of their similarity to the reference structure.
|
3. Conclusions
In this study, we have synthesized six isothiouronium salts in the forms of bromides and tetrafluoroborates (1·Br, 2·Br, 3·Br, 1·BF4, 2·BF4 and 3·BF4). We have described them by IR and liquid NMR spectroscopies and, with the exception of the already published 3·Br (Eigner, 2020), we have also described their crystal structures using SCXRD. Additionally, the three tetrafluoroborates (1·BF4, 2·BF4 and 3·BF4) were analysed using a combination of ssNMR techniques, including various 1D and 2D correlation experiments.
After careful calibration of NMR data against known standards, a comprehensive set of interatomic 19F⋯13C, 11B⋯11B, 1H⋯1H and 13C⋯1H distances were provided, together with a rough estimation of their precisions. The intermolecular distances between non-hydrogen atomic types were then used in the determination process from the simulated PD data. The results confirm that the combination of ssNMR spectroscopy and PD analysis can be beneficial, and using intermolecular interactions as additional restrictions in determination increases the probability of finding the correct solution.
This study underscores the synergistic advantages of combining experimental and computational approaches, thereby extending the utility of NMR crystallography and PD in elucidating the structures of challenging compounds, where every piece of additional structural information can be crucial for obtaining the structural model. The choice of structurally simple compounds allowed us to avoid the difficulties that the analysis of complex compounds entails. For more complex compounds such as solvates, cocrystals or complex compounds with many symmetry-independent molecules, both ssNMR and X-ray PD analysis will be correspondingly more complicated than for simple substances. However, we believe that the study of such compounds will be the next step offered by this approach.
4. Related literature
For further literature related to the supporting information, see Betteridge et al. (2003), Brandenburg (1999
), Brown et al. (2004
), Brown & Spiess (2001
), Brus (2000
), Edén et al. (2006
), Hohwy et al. (1999
), Langer et al. (1999
), Palatinus & Chapuis (2007
), Petříček et al. (2023
), Rigaku (2020
), Rohlíček & Hušák (2007
), Salager et al. (2009
), Schnell et al. (2001
) and Wang et al. (2009
).
Supporting information
Link https://doi.org/10.57680/asep.0605079
Crystallographic data
https://doi.org/10.1107/S1600576724012378/ui5023sup1.cif
contains datablocks global, 1Br_3489_VE018, 1BF4_VE_2A, 2Br_VE038, 2BF4_VE_8A, 3BF4_11A. DOI:Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600576724012378/ui50231Br_3489_VE018sup2.hkl
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600576724012378/ui50231BF4_VE_2Asup3.hkl
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600576724012378/ui50232Br_VE038sup4.hkl
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600576724012378/ui50232BF4_VE_8Asup5.hkl
Structure factors: contains datablock I. DOI: https://doi.org/10.1107/S1600576724012378/ui50233BF4_11Asup6.hkl
Additional experimental details, plus extra figures and tables. DOI: https://doi.org/10.1107/S1600576724012378/ui5023sup7.pdf
C10H13N2S·Br | F(000) = 552 |
Mr = 273.2 | Dx = 1.615 Mg m−3 |
Monoclinic, P21/n | Cu Kα radiation, λ = 1.54184 Å |
Hall symbol: -P 2yabc | Cell parameters from 8296 reflections |
a = 7.9876 (2) Å | θ = 6.1–67.2° |
b = 8.2176 (2) Å | µ = 6.45 mm−1 |
c = 17.1250 (4) Å | T = 120 K |
β = 91.141 (2)° | Needle, colourless |
V = 1123.84 (5) Å3 | 0.55 × 0.11 × 0.06 mm |
Z = 4 |
Xcalibur, AtlasS2, Gemini ultra diffractometer | 2016 independent reflections |
Radiation source: X-ray tube | 1903 reflections with I > 3σ(I) |
Mirror monochromator | Rint = 0.031 |
Detector resolution: 5.1783 pixels mm-1 | θmax = 67.4°, θmin = 5.2° |
ω scans | h = −9→9 |
Absorption correction: analytical CrysAlisPro 1.171.38.43 (Rigaku Oxford Diffraction, 2015) Analytical numeric absorption correction based on crystal shape | k = −9→9 |
Tmin = 0.236, Tmax = 0.735 | l = −20→20 |
13275 measured reflections |
Refinement on F2 | 46 constraints |
R[F2 > 2σ(F2)] = 0.024 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.074 | Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2) |
S = 1.43 | (Δ/σ)max = 0.020 |
2016 reflections | Δρmax = 0.60 e Å−3 |
133 parameters | Δρmin = −0.34 e Å−3 |
2 restraints |
x | y | z | Uiso*/Ueq | ||
Br1 | 0.25684 (3) | 0.37878 (2) | 0.403680 (11) | 0.02306 (10) | |
S1 | 0.33932 (6) | 0.95123 (6) | 0.33969 (3) | 0.02268 (16) | |
N2 | 0.2688 (3) | 1.0175 (2) | 0.48776 (11) | 0.0270 (6) | |
N1 | 0.2860 (2) | 0.7560 (2) | 0.46643 (10) | 0.0231 (5) | |
C1 | 0.6000 (2) | 0.7392 (2) | 0.30793 (11) | 0.0185 (6) | |
C2 | 0.6721 (2) | 0.6623 (3) | 0.37295 (11) | 0.0189 (5) | |
C3 | 0.8446 (3) | 0.6481 (3) | 0.38006 (13) | 0.0219 (6) | |
C4 | 0.9460 (3) | 0.7081 (3) | 0.32174 (13) | 0.0250 (6) | |
C5 | 0.8763 (3) | 0.7860 (3) | 0.25775 (13) | 0.0270 (6) | |
C6 | 0.7042 (3) | 0.8018 (3) | 0.25070 (12) | 0.0234 (6) | |
C7 | 0.4139 (2) | 0.7588 (3) | 0.29855 (12) | 0.0209 (6) | |
C8 | 0.2980 (2) | 0.9019 (2) | 0.43582 (12) | 0.0192 (6) | |
C9 | 0.2154 (3) | 0.9466 (3) | 0.56160 (12) | 0.0263 (6) | |
C10 | 0.2476 (3) | 0.7657 (3) | 0.54990 (12) | 0.0276 (7) | |
H1c2 | 0.602017 | 0.619225 | 0.412892 | 0.0226* | |
H1c3 | 0.893985 | 0.59678 | 0.425294 | 0.0263* | |
H1c4 | 1.0653 | 0.695276 | 0.326075 | 0.03* | |
H1c5 | 0.946992 | 0.829242 | 0.218086 | 0.0324* | |
H1c6 | 0.655974 | 0.856282 | 0.206066 | 0.028* | |
H1c7 | 0.358681 | 0.669493 | 0.323364 | 0.0251* | |
H2c7 | 0.383083 | 0.753427 | 0.244148 | 0.0251* | |
H1c9 | 0.097617 | 0.964672 | 0.567562 | 0.0315* | |
H2c9 | 0.285839 | 0.986454 | 0.603471 | 0.0315* | |
H1c10 | 0.344148 | 0.733489 | 0.580407 | 0.0331* | |
H2c10 | 0.146977 | 0.705805 | 0.559672 | 0.0331* | |
H1n2 | 0.267 (4) | 1.1190 (10) | 0.4755 (18) | 0.0324* | |
H1n1 | 0.287 (3) | 0.6634 (17) | 0.4430 (15) | 0.0277* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Br1 | 0.03932 (17) | 0.01138 (17) | 0.01851 (17) | 0.00067 (7) | 0.00133 (10) | 0.00001 (6) |
S1 | 0.0287 (3) | 0.0172 (3) | 0.0224 (3) | 0.00496 (18) | 0.00556 (19) | 0.00477 (18) |
N2 | 0.0460 (10) | 0.0107 (9) | 0.0246 (10) | 0.0015 (7) | 0.0076 (8) | 0.0011 (7) |
N1 | 0.0396 (10) | 0.0116 (9) | 0.0181 (9) | −0.0014 (7) | 0.0019 (7) | −0.0005 (6) |
C1 | 0.0247 (9) | 0.0136 (10) | 0.0172 (9) | 0.0008 (7) | 0.0008 (7) | −0.0020 (7) |
C2 | 0.0264 (10) | 0.0123 (9) | 0.0180 (10) | 0.0001 (7) | 0.0036 (8) | −0.0003 (8) |
C3 | 0.0286 (10) | 0.0141 (10) | 0.0228 (10) | 0.0013 (8) | −0.0023 (8) | −0.0018 (8) |
C4 | 0.0233 (9) | 0.0216 (11) | 0.0302 (11) | −0.0001 (8) | 0.0022 (8) | −0.0048 (9) |
C5 | 0.0306 (10) | 0.0253 (11) | 0.0254 (11) | −0.0043 (9) | 0.0084 (9) | −0.0016 (8) |
C6 | 0.0333 (11) | 0.0215 (12) | 0.0154 (9) | 0.0003 (8) | 0.0029 (8) | 0.0008 (8) |
C7 | 0.0264 (10) | 0.0195 (11) | 0.0169 (9) | 0.0015 (8) | 0.0012 (7) | −0.0008 (7) |
C8 | 0.0223 (9) | 0.0154 (10) | 0.0199 (10) | −0.0002 (7) | −0.0011 (8) | −0.0002 (7) |
C9 | 0.0397 (12) | 0.0181 (11) | 0.0211 (11) | −0.0006 (9) | 0.0027 (9) | −0.0017 (8) |
C10 | 0.0453 (12) | 0.0194 (12) | 0.0184 (10) | 0.0021 (9) | 0.0051 (9) | −0.0003 (8) |
S1—C7 | 1.835 (2) | C3—H1c3 | 0.96 |
S1—C8 | 1.734 (2) | C4—C5 | 1.377 (3) |
N2—C8 | 1.325 (3) | C4—H1c4 | 0.96 |
N2—C9 | 1.463 (3) | C5—C6 | 1.384 (3) |
N2—H1n2 | 0.860 (11) | C5—H1c5 | 0.96 |
N1—C8 | 1.313 (3) | C6—H1c6 | 0.96 |
N1—C10 | 1.470 (3) | C7—H1c7 | 0.96 |
N1—H1n1 | 0.860 (17) | C7—H2c7 | 0.96 |
C1—C2 | 1.394 (3) | C9—C10 | 1.523 (3) |
C1—C6 | 1.397 (3) | C9—H1c9 | 0.96 |
C1—C7 | 1.501 (3) | C9—H2c9 | 0.96 |
C2—C3 | 1.386 (3) | C10—H1c10 | 0.96 |
C2—H1c2 | 0.96 | C10—H2c10 | 0.96 |
C3—C4 | 1.389 (3) | ||
C7—S1—C8 | 103.44 (10) | C1—C6—H1c6 | 119.69 |
C8—N2—C9 | 110.68 (18) | C5—C6—H1c6 | 119.69 |
C8—N2—H1n2 | 122 (2) | S1—C7—C1 | 112.35 (14) |
C9—N2—H1n2 | 126 (2) | S1—C7—H1c7 | 109.47 |
C8—N1—C10 | 110.90 (18) | S1—C7—H2c7 | 109.47 |
C8—N1—H1n1 | 128.4 (16) | C1—C7—H1c7 | 109.47 |
C10—N1—H1n1 | 120.3 (16) | C1—C7—H2c7 | 109.47 |
C2—C1—C6 | 119.01 (18) | H1c7—C7—H2c7 | 106.43 |
C2—C1—C7 | 121.76 (17) | S1—C8—N2 | 120.62 (16) |
C6—C1—C7 | 119.22 (17) | S1—C8—N1 | 127.55 (16) |
C1—C2—C3 | 120.14 (18) | N2—C8—N1 | 111.80 (19) |
C1—C2—H1c2 | 119.93 | N2—C9—C10 | 102.81 (17) |
C3—C2—H1c2 | 119.93 | N2—C9—H1c9 | 109.47 |
C2—C3—C4 | 120.01 (19) | N2—C9—H2c9 | 109.47 |
C2—C3—H1c3 | 119.99 | C10—C9—H1c9 | 109.47 |
C4—C3—H1c3 | 119.99 | C10—C9—H2c9 | 109.47 |
C3—C4—C5 | 120.32 (19) | H1c9—C9—H2c9 | 115.4 |
C3—C4—H1c4 | 119.84 | N1—C10—C9 | 102.72 (17) |
C5—C4—H1c4 | 119.84 | N1—C10—H1c10 | 109.47 |
C4—C5—C6 | 119.9 (2) | N1—C10—H2c10 | 109.47 |
C4—C5—H1c5 | 120.06 | C9—C10—H1c10 | 109.47 |
C6—C5—H1c5 | 120.06 | C9—C10—H2c10 | 109.47 |
C1—C6—C5 | 120.61 (19) | H1c10—C10—H2c10 | 115.47 |
D—H···A | D—H | H···A | D···A | D—H···A |
N2—H1n2···Br1i | 0.860 (11) | 2.465 (17) | 3.3004 (19) | 164 (3) |
N1—H1n1···Br1 | 0.860 (17) | 2.444 (15) | 3.2873 (18) | 167 (2) |
Symmetry code: (i) x, y+1, z. |
C10H13N2S·BF4 | F(000) = 576 |
Mr = 280.10 | Dx = 1.518 Mg m−3 |
Monoclinic, P21/c | Cu Kα radiation, λ = 1.54184 Å |
Hall symbol: -P 2ybc | Cell parameters from 1752 reflections |
a = 5.6817 (4) Å | θ = 6.2–74.1° |
b = 7.4235 (5) Å | µ = 2.70 mm−1 |
c = 29.057 (2) Å | T = 95 K |
β = 91.387 (6)° | Platelet, colourless |
V = 1225.20 (14) Å3 | 0.80 × 0.60 × 0.06 mm |
Z = 4 |
Oxford Diffraction SuperNova diffractometer | 2099 reflections with I > 2.0σ(I) |
Focussing mirrors monochromator | Rint = 0.035 |
φ & ω scans | θmax = 74.7°, θmin = 3.0° |
Absorption correction: analytical Analytical Absorption (De Meulenaer & Tompa, 1965) | h = −6→6 |
Tmin = 0.35, Tmax = 0.86 | k = −6→9 |
3923 measured reflections | l = −34→35 |
2368 independent reflections |
Refinement on F2 | Primary atom site location: other |
Least-squares matrix: full | Hydrogen site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.079 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.224 | Method = Modified Sheldrick w = 1/[σ2(F2) + ( 0.05P)2 + 14.05P] , where P = (max(Fo2,0) + 2Fc2)/3 |
S = 1.04 | (Δ/σ)max = 0.0002 |
2368 reflections | Δρmax = 0.82 e Å−3 |
171 parameters | Δρmin = −0.71 e Å−3 |
8 restraints |
Experimental. The crystal was placed in the cold stream of an Oxford Cryosystems open-flow nitrogen cryostat (Cosier & Glazer, 1986) with a nominal stability of 0.1K. Cosier, J. & Glazer, A.M., 1986. J. Appl. Cryst. 105-107. |
x | y | z | Uiso*/Ueq | ||
S1 | 0.8078 (2) | −0.13629 (18) | 0.63603 (4) | 0.0212 | |
F1 | 0.4078 (6) | 0.3055 (5) | 0.53502 (11) | 0.0274 | |
F2 | 0.4853 (9) | 0.5341 (5) | 0.58509 (14) | 0.0502 | |
F3 | 0.7349 (7) | 0.3030 (9) | 0.58120 (15) | 0.0658 | |
F4 | 0.3754 (6) | 0.2595 (5) | 0.61181 (11) | 0.0293 | |
N1 | 1.1435 (8) | −0.0525 (6) | 0.57405 (16) | 0.0245 | |
N2 | 0.9406 (9) | −0.2941 (7) | 0.55845 (17) | 0.0293 | |
C1 | 0.8458 (9) | 0.0725 (7) | 0.71139 (18) | 0.0193 | |
C2 | 0.9623 (9) | 0.0012 (7) | 0.75002 (19) | 0.0185 | |
C3 | 0.8654 (10) | 0.0178 (7) | 0.79319 (19) | 0.0226 | |
C4 | 0.6511 (9) | 0.1032 (7) | 0.79821 (19) | 0.0209 | |
C5 | 0.5342 (9) | 0.1747 (7) | 0.7596 (2) | 0.0217 | |
C6 | 0.6285 (9) | 0.1574 (7) | 0.71643 (19) | 0.0209 | |
C7 | 0.9557 (9) | 0.0528 (8) | 0.66502 (19) | 0.0225 | |
C8 | 0.9745 (8) | −0.1588 (7) | 0.58799 (18) | 0.0176 | |
C9 | 1.1020 (9) | −0.2860 (8) | 0.51989 (18) | 0.0223 | |
C10 | 1.2562 (9) | −0.1210 (7) | 0.53260 (19) | 0.0216 | |
B1 | 0.5002 (11) | 0.3497 (9) | 0.5784 (2) | 0.0236 | |
H22 | 1.1067 | −0.0572 | 0.7469 | 0.0231* | |
H31 | 0.9446 | −0.0306 | 0.8189 | 0.0269* | |
H41 | 0.5868 | 0.1143 | 0.8273 | 0.0262* | |
H51 | 0.3901 | 0.2338 | 0.7627 | 0.0262* | |
H61 | 0.5486 | 0.2030 | 0.6906 | 0.0260* | |
H71 | 1.1236 | 0.0300 | 0.6684 | 0.0250* | |
H72 | 0.9286 | 0.1614 | 0.6473 | 0.0249* | |
H91 | 1.1966 | −0.3944 | 0.5178 | 0.0277* | |
H92 | 1.0151 | −0.2672 | 0.4910 | 0.0280* | |
H102 | 1.4171 | −0.1582 | 0.5396 | 0.0262* | |
H101 | 1.2581 | −0.0326 | 0.5081 | 0.0257* | |
H11 | 1.210 (7) | 0.027 (6) | 0.5917 (11) | 0.029 (2)* | |
H21 | 0.835 (9) | −0.375 (6) | 0.5614 (14) | 0.036 (2)* |
U11 | U22 | U33 | U12 | U13 | U23 | |
S1 | 0.0182 (6) | 0.0205 (7) | 0.0250 (7) | −0.0067 (5) | 0.0052 (5) | −0.0028 (5) |
F1 | 0.0257 (17) | 0.0288 (18) | 0.0279 (17) | −0.0038 (14) | 0.0009 (13) | −0.0028 (14) |
F2 | 0.089 (3) | 0.0211 (19) | 0.039 (2) | −0.020 (2) | −0.017 (2) | 0.0035 (16) |
F3 | 0.019 (2) | 0.134 (5) | 0.044 (2) | 0.012 (2) | 0.0029 (16) | 0.026 (3) |
F4 | 0.0322 (19) | 0.0264 (18) | 0.0297 (17) | −0.0165 (15) | 0.0078 (14) | −0.0001 (14) |
N1 | 0.028 (3) | 0.019 (2) | 0.027 (2) | −0.010 (2) | 0.0061 (19) | −0.0046 (19) |
N2 | 0.027 (3) | 0.026 (3) | 0.035 (3) | −0.018 (2) | 0.012 (2) | −0.013 (2) |
C1 | 0.019 (3) | 0.015 (2) | 0.024 (3) | −0.004 (2) | 0.0023 (19) | 0.000 (2) |
C2 | 0.010 (2) | 0.015 (2) | 0.031 (3) | 0.0030 (19) | −0.0007 (19) | −0.002 (2) |
C3 | 0.030 (3) | 0.014 (3) | 0.024 (3) | −0.004 (2) | −0.003 (2) | 0.002 (2) |
C4 | 0.019 (3) | 0.013 (2) | 0.032 (3) | −0.003 (2) | 0.008 (2) | −0.003 (2) |
C5 | 0.013 (2) | 0.013 (2) | 0.038 (3) | −0.001 (2) | 0.002 (2) | −0.003 (2) |
C6 | 0.021 (3) | 0.012 (2) | 0.030 (3) | −0.002 (2) | −0.005 (2) | 0.000 (2) |
C7 | 0.016 (3) | 0.021 (3) | 0.030 (3) | −0.007 (2) | 0.005 (2) | −0.003 (2) |
C8 | 0.006 (2) | 0.019 (3) | 0.029 (3) | 0.0011 (19) | 0.0010 (18) | 0.001 (2) |
C9 | 0.020 (3) | 0.023 (3) | 0.024 (3) | −0.002 (2) | 0.005 (2) | −0.003 (2) |
C10 | 0.017 (3) | 0.022 (3) | 0.027 (3) | 0.000 (2) | 0.009 (2) | −0.001 (2) |
B1 | 0.018 (3) | 0.027 (3) | 0.025 (3) | −0.012 (3) | −0.002 (2) | 0.004 (3) |
S1—C7 | 1.831 (5) | C2—H22 | 0.934 |
S1—C8 | 1.714 (5) | C3—C4 | 1.384 (8) |
F1—B1 | 1.393 (7) | C3—H31 | 0.934 |
F2—B1 | 1.385 (8) | C4—C5 | 1.395 (8) |
F3—B1 | 1.379 (7) | C4—H41 | 0.933 |
F4—B1 | 1.388 (7) | C5—C6 | 1.381 (8) |
N1—C8 | 1.314 (7) | C5—H51 | 0.935 |
N1—C10 | 1.469 (7) | C6—H61 | 0.932 |
N1—H11 | 0.863 (19) | C7—H71 | 0.972 |
N2—C8 | 1.332 (7) | C7—H72 | 0.966 |
N2—C9 | 1.466 (7) | C9—C10 | 1.546 (7) |
N2—H21 | 0.856 (19) | C9—H91 | 0.970 |
C1—C2 | 1.394 (7) | C9—H92 | 0.973 |
C1—C6 | 1.397 (8) | C10—H102 | 0.972 |
C1—C7 | 1.506 (7) | C10—H101 | 0.969 |
C2—C3 | 1.387 (8) | ||
C7—S1—C8 | 101.1 (2) | C1—C7—H71 | 110.7 |
C8—N1—C10 | 112.4 (4) | S1—C7—H71 | 110.6 |
C8—N1—H11 | 122.7 (15) | C1—C7—H72 | 109.3 |
C10—N1—H11 | 121.9 (15) | S1—C7—H72 | 109.2 |
C8—N2—C9 | 112.2 (4) | H71—C7—H72 | 110.1 |
C8—N2—H21 | 123.8 (14) | S1—C8—N2 | 121.6 (4) |
C9—N2—H21 | 123.9 (14) | S1—C8—N1 | 127.9 (4) |
C2—C1—C6 | 119.4 (5) | N2—C8—N1 | 110.5 (5) |
C2—C1—C7 | 119.0 (5) | N2—C9—C10 | 102.2 (4) |
C6—C1—C7 | 121.6 (5) | N2—C9—H91 | 111.8 |
C1—C2—C3 | 120.2 (5) | C10—C9—H91 | 111.1 |
C1—C2—H22 | 120.0 | N2—C9—H92 | 110.6 |
C3—C2—H22 | 119.8 | C10—C9—H92 | 111.4 |
C2—C3—C4 | 120.3 (5) | H91—C9—H92 | 109.6 |
C2—C3—H31 | 119.7 | C9—C10—N1 | 102.4 (4) |
C4—C3—H31 | 120.0 | C9—C10—H102 | 110.5 |
C3—C4—C5 | 119.5 (5) | N1—C10—H102 | 110.6 |
C3—C4—H41 | 120.0 | C9—C10—H101 | 112.2 |
C5—C4—H41 | 120.5 | N1—C10—H101 | 112.4 |
C4—C5—C6 | 120.5 (5) | H102—C10—H101 | 108.7 |
C4—C5—H51 | 120.0 | F1—B1—F4 | 109.4 (5) |
C6—C5—H51 | 119.5 | F1—B1—F2 | 109.7 (5) |
C1—C6—C5 | 120.0 (5) | F4—B1—F2 | 110.2 (5) |
C1—C6—H61 | 119.6 | F1—B1—F3 | 109.7 (5) |
C5—C6—H61 | 120.4 | F4—B1—F3 | 110.3 (5) |
C1—C7—S1 | 106.9 (4) | F2—B1—F3 | 107.6 (5) |
C9H13N2S·Br | F(000) = 528 |
Mr = 261.2 | Dx = 1.611 Mg m−3 |
Monoclinic, P21/c | Cu Kα radiation, λ = 1.54184 Å |
Hall symbol: -P 2ycb | Cell parameters from 2920 reflections |
a = 14.4689 (6) Å | θ = 3.4–73.8° |
b = 6.1901 (3) Å | µ = 6.67 mm−1 |
c = 13.3423 (7) Å | T = 95 K |
β = 115.672 (4)° | Platelet, colourless |
V = 1077.03 (10) Å3 | 0.21 × 0.14 × 0.06 mm |
Z = 4 |
SuperNova, Dual, Cu at zero, AtlasS2 diffractometer | 2111 independent reflections |
Radiation source: X-ray tube | 1998 reflections with I > 3σ(I) |
Mirror monochromator | Rint = 0.017 |
Detector resolution: 5.2027 pixels mm-1 | θmax = 74.2°, θmin = 3.4° |
ω scans | h = −17→17 |
Absorption correction: analytical CrysAlisPro 1.171.38.43 (Rigaku Oxford Diffraction, 2015) Analytical numeric absorption correction based on crystal shape | k = −7→4 |
Tmin = 0.428, Tmax = 0.71 | l = −16→12 |
3712 measured reflections |
Refinement on F2 | 40 constraints |
R[F2 > 2σ(F2)] = 0.021 | H atoms treated by a mixture of independent and constrained refinement |
wR(F2) = 0.060 | Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2) |
S = 1.11 | (Δ/σ)max = 0.019 |
2111 reflections | Δρmax = 0.27 e Å−3 |
130 parameters | Δρmin = −0.22 e Å−3 |
4 restraints |
x | y | z | Uiso*/Ueq | ||
Br1 | 0.600487 (12) | 0.22079 (3) | 0.506735 (13) | 0.01463 (9) | |
S1 | 0.64285 (3) | 0.90635 (6) | 0.25708 (3) | 0.01438 (14) | |
N1 | 0.62481 (11) | 0.4818 (2) | 0.29085 (12) | 0.0159 (5) | |
N2 | 0.58862 (12) | 0.7225 (2) | 0.39923 (13) | 0.0162 (5) | |
C1 | 0.81973 (13) | 0.7200 (3) | 0.25747 (14) | 0.0136 (6) | |
C2 | 0.85220 (13) | 0.5128 (3) | 0.24670 (14) | 0.0156 (6) | |
C3 | 0.95280 (13) | 0.4474 (3) | 0.31235 (14) | 0.0168 (6) | |
C4 | 1.02351 (13) | 0.5863 (3) | 0.38940 (14) | 0.0162 (6) | |
C5 | 0.99066 (14) | 0.7944 (3) | 0.39902 (16) | 0.0182 (6) | |
C6 | 0.89072 (13) | 0.8603 (3) | 0.33498 (14) | 0.0168 (6) | |
C7 | 0.71232 (13) | 0.7938 (2) | 0.18366 (15) | 0.0152 (6) | |
C8 | 0.61790 (12) | 0.6823 (3) | 0.32061 (14) | 0.0133 (5) | |
C9 | 1.13239 (13) | 0.5178 (3) | 0.46025 (15) | 0.0211 (6) | |
H1c2 | 0.804885 | 0.414357 | 0.193628 | 0.0187* | |
H1c3 | 0.973595 | 0.303741 | 0.304149 | 0.0202* | |
H1c5 | 1.038401 | 0.893614 | 0.451113 | 0.0218* | |
H1c6 | 0.869932 | 1.00362 | 0.343812 | 0.0201* | |
H1c7 | 0.673996 | 0.675735 | 0.137811 | 0.0182* | |
H2c7 | 0.714172 | 0.897635 | 0.131125 | 0.0182* | |
H1c9 | 1.142071 | 0.37213 | 0.44202 | 0.0253* | |
H2c9 | 1.178421 | 0.612031 | 0.446639 | 0.0253* | |
H3c9 | 1.146127 | 0.525608 | 0.537304 | 0.0253* | |
H1n1 | 0.6157 (18) | 0.379 (3) | 0.3289 (17) | 0.0191* | |
H2n1 | 0.6337 (18) | 0.454 (4) | 0.2325 (11) | 0.0191* | |
H1n2 | 0.5696 (17) | 0.617 (2) | 0.4280 (18) | 0.0195* | |
H2n2 | 0.5890 (18) | 0.8533 (13) | 0.4210 (19) | 0.0195* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Br1 | 0.01743 (12) | 0.00907 (12) | 0.01871 (12) | −0.00097 (5) | 0.00905 (9) | 0.00035 (5) |
S1 | 0.01686 (19) | 0.00885 (18) | 0.0194 (2) | 0.00097 (13) | 0.00972 (16) | 0.00191 (14) |
N1 | 0.0210 (7) | 0.0105 (6) | 0.0189 (7) | −0.0006 (5) | 0.0111 (6) | 0.0000 (5) |
N2 | 0.0219 (7) | 0.0109 (7) | 0.0170 (7) | −0.0030 (5) | 0.0095 (6) | −0.0012 (5) |
C1 | 0.0169 (8) | 0.0124 (8) | 0.0136 (7) | −0.0003 (6) | 0.0086 (7) | 0.0017 (6) |
C2 | 0.0187 (8) | 0.0137 (8) | 0.0162 (7) | −0.0032 (6) | 0.0092 (6) | −0.0035 (6) |
C3 | 0.0211 (8) | 0.0140 (8) | 0.0198 (8) | 0.0021 (6) | 0.0130 (7) | 0.0019 (6) |
C4 | 0.0180 (8) | 0.0202 (8) | 0.0146 (7) | 0.0005 (6) | 0.0110 (6) | 0.0020 (6) |
C5 | 0.0182 (8) | 0.0193 (9) | 0.0186 (8) | −0.0044 (6) | 0.0094 (7) | −0.0040 (6) |
C6 | 0.0218 (8) | 0.0122 (8) | 0.0198 (8) | −0.0013 (6) | 0.0123 (7) | −0.0018 (6) |
C7 | 0.0182 (8) | 0.0128 (8) | 0.0159 (8) | 0.0001 (6) | 0.0087 (7) | 0.0010 (6) |
C8 | 0.0109 (7) | 0.0114 (7) | 0.0153 (7) | 0.0000 (6) | 0.0035 (6) | 0.0020 (6) |
C9 | 0.0168 (8) | 0.0265 (9) | 0.0225 (8) | 0.0026 (7) | 0.0108 (7) | 0.0028 (7) |
S1—C7 | 1.819 (2) | C3—C4 | 1.390 (2) |
S1—C8 | 1.7430 (19) | C3—H1c3 | 0.96 |
N1—C8 | 1.320 (2) | C4—C5 | 1.398 (3) |
N1—H1n1 | 0.86 (2) | C4—C9 | 1.505 (2) |
N1—H2n1 | 0.86 (2) | C5—C6 | 1.385 (2) |
N2—C8 | 1.314 (3) | C5—H1c5 | 0.96 |
N2—H1n2 | 0.86 (2) | C6—H1c6 | 0.96 |
N2—H2n2 | 0.860 (12) | C7—H1c7 | 0.96 |
C1—C2 | 1.394 (2) | C7—H2c7 | 0.96 |
C1—C6 | 1.400 (2) | C9—H1c9 | 0.96 |
C1—C7 | 1.506 (2) | C9—H2c9 | 0.96 |
C2—C3 | 1.395 (2) | C9—H3c9 | 0.96 |
C2—H1c2 | 0.96 | ||
C7—S1—C8 | 103.67 (9) | C4—C5—C6 | 121.38 (15) |
C8—N1—H1n1 | 117.9 (15) | C4—C5—H1c5 | 119.31 |
C8—N1—H2n1 | 121.3 (16) | C6—C5—H1c5 | 119.31 |
H1n1—N1—H2n1 | 121 (2) | C1—C6—C5 | 120.58 (16) |
C8—N2—H1n2 | 119.3 (16) | C1—C6—H1c6 | 119.71 |
C8—N2—H2n2 | 119.5 (19) | C5—C6—H1c6 | 119.71 |
H1n2—N2—H2n2 | 121 (2) | S1—C7—C1 | 114.74 (13) |
C2—C1—C6 | 118.35 (15) | C1—C7—H1c7 | 109.47 |
C2—C1—C7 | 120.66 (13) | C1—C7—H2c7 | 109.47 |
C6—C1—C7 | 120.92 (15) | H1c7—C7—H2c7 | 103.63 |
C1—C2—C3 | 120.60 (14) | S1—C8—N1 | 122.91 (16) |
C1—C2—H1c2 | 119.7 | S1—C8—N2 | 116.36 (13) |
C3—C2—H1c2 | 119.7 | N1—C8—N2 | 120.71 (17) |
C2—C3—C4 | 121.22 (16) | C4—C9—H1c9 | 109.47 |
C2—C3—H1c3 | 119.39 | C4—C9—H2c9 | 109.47 |
C4—C3—H1c3 | 119.39 | C4—C9—H3c9 | 109.47 |
C3—C4—C5 | 117.87 (15) | H1c9—C9—H2c9 | 109.47 |
C3—C4—C9 | 121.68 (17) | H1c9—C9—H3c9 | 109.47 |
C5—C4—C9 | 120.45 (15) | H2c9—C9—H3c9 | 109.47 |
D—H···A | D—H | H···A | D···A | D—H···A |
N1—H1n1···Br1 | 0.86 (2) | 2.66 (2) | 3.4508 (18) | 153.1 (17) |
N1—H2n1···Br1i | 0.86 (2) | 3.037 (18) | 3.8614 (18) | 161 (2) |
N2—H1n2···Br1 | 0.86 (2) | 2.630 (16) | 3.3938 (15) | 149 (2) |
N2—H2n2···Br1ii | 0.860 (12) | 2.519 (13) | 3.3747 (15) | 173.6 (18) |
Symmetry codes: (i) x, −y+1/2, z−1/2; (ii) x, y+1, z. |
C9H13N2S·BF4 | F(000) = 276 |
Mr = 268.1 | Dx = 1.478 Mg m−3 |
Monoclinic, P21 | Cu Kα radiation, λ = 1.54184 Å |
Hall symbol: P 2yb | Cell parameters from 4570 reflections |
a = 5.6075 (2) Å | θ = 3.2–67.5° |
b = 7.7882 (3) Å | µ = 2.71 mm−1 |
c = 13.8649 (6) Å | T = 120 K |
β = 95.836 (3)° | Prism, colourless |
V = 602.37 (4) Å3 | 0.58 × 0.39 × 0.22 mm |
Z = 2 |
Xcalibur, AtlasS2, Gemini ultra diffractometer | 2130 independent reflections |
Radiation source: X-ray tube | 2101 reflections with I > 3σ(I) |
Mirror monochromator | Rint = 0.016 |
Detector resolution: 5.1783 pixels mm-1 | θmax = 67.5°, θmin = 3.2° |
ω scans | h = −6→6 |
Absorption correction: analytical CrysAlisPro 1.171.41.93a (Rigaku Oxford Diffraction, 2020) Analytical numeric absorption correction based on crystal shape | k = −9→8 |
Tmin = 0.364, Tmax = 0.607 | l = −16→16 |
5004 measured reflections |
Refinement on F2 | Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2) |
R[F2 > 2σ(F2)] = 0.029 | (Δ/σ)max = 0.034 |
wR(F2) = 0.078 | Δρmax = 0.31 e Å−3 |
S = 1.64 | Δρmin = −0.17 e Å−3 |
2130 reflections | Extinction correction: B-C type 1 Gaussian isotropic (Becker & Coppens, 1974) |
175 parameters | Extinction coefficient: 2000 (200) |
4 restraints | Absolute structure: 957 of Friedel pairs used in the refinement |
42 constraints | Absolute structure parameter: 0.000 (14) |
H atoms treated by a mixture of independent and constrained refinement |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
S1 | 0.90319 (6) | 0.4408 (2) | 0.72979 (3) | 0.02187 (13) | |
N2 | 1.0771 (3) | 0.6179 (3) | 0.59420 (12) | 0.0285 (5) | |
N1 | 1.2530 (3) | 0.3542 (3) | 0.62063 (11) | 0.0277 (5) | |
C1 | 0.8934 (3) | 0.2272 (3) | 0.88135 (12) | 0.0193 (5) | |
C2 | 0.6763 (3) | 0.1391 (3) | 0.87888 (13) | 0.0215 (5) | |
C3 | 0.5626 (3) | 0.1215 (3) | 0.96282 (13) | 0.0225 (5) | |
C4 | 0.6629 (3) | 0.1877 (3) | 1.05087 (13) | 0.0202 (5) | |
C5 | 0.8796 (3) | 0.2761 (3) | 1.05267 (12) | 0.0214 (5) | |
C6 | 0.9929 (3) | 0.2960 (3) | 0.96923 (12) | 0.0202 (5) | |
C7 | 1.0189 (3) | 0.2461 (3) | 0.79083 (13) | 0.0250 (5) | |
C8 | 1.0958 (3) | 0.4706 (3) | 0.64000 (11) | 0.0209 (5) | |
C9 | 0.5396 (4) | 0.1632 (3) | 1.14185 (15) | 0.0320 (6) | |
H1c2 | 0.605376 | 0.090549 | 0.81908 | 0.0258* | |
H1c3 | 0.411735 | 0.062469 | 0.959947 | 0.027* | |
H1c5 | 0.951174 | 0.323831 | 1.11259 | 0.0257* | |
H1c6 | 1.141539 | 0.357774 | 0.971884 | 0.0243* | |
H1c7 | 0.982511 | 0.148898 | 0.749332 | 0.03* | |
H2c7 | 1.188244 | 0.257879 | 0.808258 | 0.03* | |
H1c9 | 0.376422 | 0.201398 | 1.130487 | 0.0384* | |
H2c9 | 0.542618 | 0.043812 | 1.159169 | 0.0384* | |
H3c9 | 0.621517 | 0.228802 | 1.193697 | 0.0384* | |
H1n2 | 0.983 (4) | 0.694 (3) | 0.6140 (18) | 0.0342* | |
H2n2 | 1.166 (4) | 0.643 (4) | 0.5493 (13) | 0.0342* | |
H1n1 | 1.351 (3) | 0.380 (4) | 0.5788 (13) | 0.0332* | |
H2n1 | 1.249 (5) | 0.2575 (16) | 0.6504 (16) | 0.0332* | |
F1a | 0.614 (3) | 0.491 (3) | 0.3264 (8) | 0.0309 (7) | 0.325 (7) |
F2a | 0.319 (4) | 0.591 (6) | 0.4126 (12) | 0.0478 (9) | 0.325 (7) |
F3a | 0.523 (4) | 0.353 (5) | 0.4613 (11) | 0.0481 (10) | 0.325 (7) |
F4a | 0.263 (4) | 0.349 (5) | 0.3264 (13) | 0.0596 (14) | 0.325 (7) |
B1a | 0.430 (3) | 0.445 (5) | 0.3813 (9) | 0.0221 (8) | 0.325 (7) |
F1b | 0.626 (3) | 0.506 (4) | 0.3304 (9) | 0.0309 (7) | 0.675 (7) |
F2b | 0.303 (5) | 0.574 (5) | 0.4094 (18) | 0.0478 (9) | 0.675 (7) |
F3b | 0.593 (5) | 0.405 (5) | 0.4814 (14) | 0.0481 (10) | 0.675 (7) |
F4b | 0.347 (5) | 0.306 (5) | 0.3552 (16) | 0.0596 (14) | 0.675 (7) |
B1b | 0.468 (2) | 0.447 (4) | 0.3939 (7) | 0.0221 (9) | 0.675 (7) |
U11 | U22 | U33 | U12 | U13 | U23 | |
S1 | 0.0196 (2) | 0.0244 (2) | 0.0228 (2) | 0.00616 (15) | 0.00816 (13) | 0.00416 (15) |
N2 | 0.0316 (8) | 0.0268 (9) | 0.0294 (8) | 0.0063 (6) | 0.0141 (6) | 0.0061 (6) |
N1 | 0.0292 (8) | 0.0315 (9) | 0.0246 (7) | 0.0112 (7) | 0.0136 (6) | 0.0049 (7) |
C1 | 0.0174 (8) | 0.0184 (8) | 0.0228 (8) | 0.0041 (6) | 0.0049 (6) | 0.0041 (6) |
C2 | 0.0184 (8) | 0.0203 (8) | 0.0250 (8) | 0.0019 (7) | −0.0019 (6) | −0.0015 (7) |
C3 | 0.0154 (8) | 0.0181 (9) | 0.0342 (9) | 0.0001 (6) | 0.0030 (7) | 0.0025 (7) |
C4 | 0.0191 (8) | 0.0163 (8) | 0.0262 (9) | 0.0054 (6) | 0.0077 (7) | 0.0063 (6) |
C5 | 0.0205 (9) | 0.0201 (8) | 0.0233 (8) | 0.0018 (7) | 0.0006 (6) | −0.0016 (6) |
C6 | 0.0152 (8) | 0.0169 (8) | 0.0287 (8) | −0.0010 (6) | 0.0024 (6) | 0.0005 (6) |
C7 | 0.0227 (9) | 0.0270 (10) | 0.0262 (9) | 0.0074 (7) | 0.0065 (7) | 0.0038 (7) |
C8 | 0.0198 (7) | 0.0248 (10) | 0.0181 (7) | 0.0013 (6) | 0.0020 (6) | −0.0018 (6) |
C9 | 0.0284 (10) | 0.0367 (12) | 0.0332 (10) | 0.0070 (8) | 0.0133 (8) | 0.0133 (8) |
F1a | 0.0297 (10) | 0.0385 (18) | 0.0253 (9) | −0.0152 (8) | 0.0066 (6) | 0.0010 (12) |
F2a | 0.068 (2) | 0.0343 (10) | 0.0438 (11) | 0.0120 (15) | 0.0205 (8) | −0.0004 (8) |
F3a | 0.0361 (17) | 0.073 (2) | 0.0381 (13) | 0.0187 (14) | 0.0177 (11) | 0.0295 (14) |
F4a | 0.035 (2) | 0.094 (3) | 0.0518 (19) | −0.0388 (18) | 0.0155 (12) | −0.0363 (18) |
B1a | 0.0242 (18) | 0.0233 (11) | 0.0193 (14) | −0.0044 (11) | 0.0043 (9) | 0.0005 (10) |
F1b | 0.0387 (10) | 0.0306 (17) | 0.0247 (10) | −0.0143 (8) | 0.0095 (7) | 0.0008 (11) |
F2b | 0.059 (2) | 0.0445 (12) | 0.0421 (11) | 0.0216 (14) | 0.0155 (8) | 0.0039 (8) |
F3b | 0.0288 (18) | 0.090 (2) | 0.0264 (14) | 0.0065 (14) | 0.0073 (11) | 0.0205 (13) |
F4b | 0.061 (2) | 0.057 (3) | 0.067 (2) | −0.0438 (18) | 0.0358 (13) | −0.0337 (18) |
B1b | 0.0265 (17) | 0.0214 (12) | 0.0190 (14) | −0.0031 (11) | 0.0048 (10) | 0.0006 (10) |
S1—C7 | 1.824 (3) | C5—C6 | 1.384 (3) |
S1—C8 | 1.7447 (17) | C5—H1c5 | 0.96 |
N2—C8 | 1.310 (3) | C6—H1c6 | 0.96 |
N2—H1n2 | 0.86 (2) | C7—H1c7 | 0.96 |
N2—H2n2 | 0.86 (2) | C7—H2c7 | 0.96 |
N1—C8 | 1.311 (3) | C9—H1c9 | 0.96 |
N1—H1n1 | 0.86 (2) | C9—H2c9 | 0.96 |
N1—H2n1 | 0.860 (16) | C9—H3c9 | 0.96 |
C1—C2 | 1.395 (3) | F1a—B1a | 1.39 (3) |
C1—C6 | 1.394 (2) | F2a—B1a | 1.39 (5) |
C1—C7 | 1.507 (3) | F3a—B1a | 1.38 (3) |
C2—C3 | 1.390 (3) | F4a—B1a | 1.37 (4) |
C2—H1c2 | 0.96 | F1b—B1b | 1.39 (2) |
C3—C4 | 1.390 (3) | F2b—B1b | 1.39 (4) |
C3—H1c3 | 0.96 | F3b—B1b | 1.38 (2) |
C4—C5 | 1.395 (3) | F4b—B1b | 1.37 (4) |
C4—C9 | 1.511 (3) | ||
C7—S1—C8 | 103.00 (10) | S1—C7—H1c7 | 109.47 |
C8—N2—H1n2 | 118.2 (16) | S1—C7—H2c7 | 109.47 |
C8—N2—H2n2 | 122.0 (18) | C1—C7—H1c7 | 109.47 |
H1n2—N2—H2n2 | 119 (2) | C1—C7—H2c7 | 109.47 |
C8—N1—H1n1 | 117.7 (17) | H1c7—C7—H2c7 | 111.78 |
C8—N1—H2n1 | 117.2 (16) | S1—C8—N2 | 115.95 (16) |
H1n1—N1—H2n1 | 125 (2) | S1—C8—N1 | 122.14 (17) |
C2—C1—C6 | 118.75 (16) | N2—C8—N1 | 121.90 (17) |
C2—C1—C7 | 120.51 (16) | C4—C9—H1c9 | 109.47 |
C6—C1—C7 | 120.74 (16) | C4—C9—H2c9 | 109.47 |
C1—C2—C3 | 120.12 (17) | C4—C9—H3c9 | 109.47 |
C1—C2—H1c2 | 119.94 | H1c9—C9—H2c9 | 109.47 |
C3—C2—H1c2 | 119.94 | H1c9—C9—H3c9 | 109.47 |
C2—C3—C4 | 121.31 (17) | H2c9—C9—H3c9 | 109.47 |
C2—C3—H1c3 | 119.35 | F1a—B1a—F2a | 110 (3) |
C4—C3—H1c3 | 119.35 | F1a—B1a—F3a | 109.7 (18) |
C3—C4—C5 | 118.21 (17) | F1a—B1a—F4a | 109.9 (15) |
C3—C4—C9 | 120.51 (17) | F2a—B1a—F3a | 108.6 (19) |
C5—C4—C9 | 121.28 (16) | F2a—B1a—F4a | 109 (2) |
C4—C5—C6 | 120.89 (17) | F3a—B1a—F4a | 110 (3) |
C4—C5—H1c5 | 119.55 | F1b—B1b—F2b | 110 (2) |
C6—C5—H1c5 | 119.55 | F1b—B1b—F3b | 109.7 (16) |
C1—C6—C5 | 120.71 (17) | F1b—B1b—F4b | 109.9 (17) |
C1—C6—H1c6 | 119.64 | F2b—B1b—F3b | 109 (2) |
C5—C6—H1c6 | 119.64 | F2b—B1b—F4b | 109 (2) |
S1—C7—C1 | 107.06 (15) | F3b—B1b—F4b | 110 (3) |
D—H···A | D—H | H···A | D···A | D—H···A |
C2—H1c2···F1ai | 0.96 | 2.38 | 3.336 (15) | 172.81 |
C2—H1c2···F1bi | 0.96 | 2.42 | 3.373 (15) | 170.07 |
N2—H1n2···F4aii | 0.86 (2) | 2.06 (4) | 2.92 (3) | 171 (2) |
N2—H1n2···F4bii | 0.86 (2) | 2.12 (4) | 2.94 (3) | 158 (2) |
N2—H2n2···F2aiii | 0.86 (2) | 2.20 (3) | 2.987 (19) | 153 (3) |
N2—H2n2···F3aiv | 0.86 (2) | 2.41 (4) | 3.06 (3) | 133 (2) |
N2—H2n2···F2biii | 0.86 (2) | 2.23 (3) | 2.99 (3) | 148 (3) |
N1—H1n1···F3aiii | 0.86 (2) | 1.99 (3) | 2.80 (2) | 158 (3) |
N1—H1n1···F3biii | 0.86 (2) | 2.02 (3) | 2.88 (3) | 172 (3) |
N1—H2n1···F1av | 0.860 (16) | 2.22 (3) | 3.00 (3) | 149 (2) |
N1—H2n1···F1bv | 0.860 (16) | 2.09 (3) | 2.86 (3) | 149 (2) |
Symmetry codes: (i) −x+1, y−1/2, −z+1; (ii) −x+1, y+1/2, −z+1; (iii) x+1, y, z; (iv) −x+2, y+1/2, −z+1; (v) −x+2, y−1/2, −z+1. |
C12H13N2S·BF4 | F(000) = 312 |
Mr = 304.1 | Dx = 1.542 Mg m−3 |
Monoclinic, P21 | Cu Kα radiation, λ = 1.54184 Å |
Hall symbol: P 2yb | Cell parameters from 5850 reflections |
a = 5.8011 (3) Å | θ = 5.9–74.4° |
b = 7.4127 (6) Å | µ = 2.57 mm−1 |
c = 15.2291 (9) Å | T = 95 K |
β = 90.776 (5)° | Platelet, colorless |
V = 654.82 (7) Å3 | 0.43 × 0.25 × 0.03 mm |
Z = 2 |
SuperNova, Dual, Cu at home/near, AtlasS2 diffractometer | 2640 independent reflections |
Radiation source: X-ray tube | 2595 reflections with I > 3σ(I) |
Mirror monochromator | Rint = 0.035 |
Detector resolution: 5.2027 pixels mm-1 | θmax = 74.8°, θmin = 2.9° |
ω scans | h = −7→7 |
Absorption correction: analytical CrysAlisPro 1.171.41.93a (Rigaku Oxford Diffraction, 2020) Analytical numeric absorption correction based on crystal shape | k = −9→9 |
Tmin = 0.527, Tmax = 0.928 | l = −18→18 |
8858 measured reflections |
Refinement on F2 | H atoms treated by a mixture of independent and constrained refinement |
R[F2 > 2σ(F2)] = 0.034 | Weighting scheme based on measured s.u.'s w = 1/(σ2(I) + 0.0016I2) |
wR(F2) = 0.096 | (Δ/σ)max = 0.011 |
S = 1.86 | Δρmax = 0.17 e Å−3 |
2640 reflections | Δρmin = −0.38 e Å−3 |
194 parameters | Absolute structure: 1192 of Friedel pairs used in the refinement |
4 restraints | Absolute structure parameter: −0.034 (18) |
41 constraints |
x | y | z | Uiso*/Ueq | ||
S1 | 0.64373 (7) | 0.55072 (8) | 0.79917 (3) | 0.02051 (13) | |
F1 | −0.1257 (2) | 0.65112 (19) | 0.15523 (9) | 0.0293 (4) | |
F2 | −0.1147 (2) | 0.5423 (3) | 0.01564 (8) | 0.0326 (4) | |
F3 | 0.2133 (3) | 0.6481 (2) | 0.07976 (10) | 0.0392 (5) | |
F4 | 0.0562 (3) | 0.3866 (2) | 0.12628 (11) | 0.0378 (5) | |
N1 | 0.2474 (3) | 0.5186 (3) | 0.88656 (12) | 0.0258 (5) | |
N2 | 0.4715 (3) | 0.7665 (3) | 0.91697 (13) | 0.0236 (5) | |
C1 | 0.5316 (4) | 0.3961 (3) | 0.57384 (14) | 0.0188 (5) | |
C2 | 0.6267 (3) | 0.3443 (3) | 0.65278 (13) | 0.0197 (5) | |
C3 | 0.8466 (4) | 0.2583 (3) | 0.65498 (13) | 0.0205 (5) | |
C4 | 0.9603 (3) | 0.2248 (3) | 0.57853 (14) | 0.0205 (5) | |
C5 | 0.9753 (4) | 0.2371 (3) | 0.41518 (15) | 0.0215 (6) | |
C6 | 0.8771 (4) | 0.2882 (3) | 0.33690 (15) | 0.0231 (6) | |
C7 | 0.6608 (4) | 0.3760 (3) | 0.33491 (15) | 0.0239 (6) | |
C8 | 0.5457 (4) | 0.4103 (3) | 0.41084 (14) | 0.0209 (6) | |
C9 | 0.6441 (3) | 0.3607 (3) | 0.49367 (14) | 0.0181 (5) | |
C10 | 0.8637 (3) | 0.2735 (3) | 0.49592 (14) | 0.0180 (5) | |
C11 | 0.4964 (4) | 0.3731 (3) | 0.73647 (14) | 0.0234 (6) | |
C12 | 0.4347 (3) | 0.6138 (3) | 0.87425 (13) | 0.0196 (5) | |
B1 | 0.0074 (4) | 0.5586 (4) | 0.09478 (14) | 0.0205 (6) | |
H1c1 | 0.385867 | 0.457544 | 0.572847 | 0.0225* | |
H1c3 | 0.914992 | 0.223749 | 0.710213 | 0.0246* | |
H1c4 | 1.108459 | 0.167289 | 0.580916 | 0.0246* | |
H1c5 | 1.121218 | 0.176021 | 0.415661 | 0.0258* | |
H1c6 | 0.955483 | 0.264322 | 0.283021 | 0.0278* | |
H1c7 | 0.593953 | 0.41199 | 0.279616 | 0.0287* | |
H1c8 | 0.397719 | 0.468127 | 0.408388 | 0.0251* | |
H1c11 | 0.496793 | 0.263425 | 0.770038 | 0.0281* | |
H2c11 | 0.341783 | 0.410724 | 0.722631 | 0.0281* | |
H1n1 | 0.227 (5) | 0.4130 (18) | 0.8644 (19) | 0.031* | |
H2n1 | 0.140 (4) | 0.543 (5) | 0.9230 (15) | 0.031* | |
H1n2 | 0.375 (4) | 0.791 (5) | 0.9576 (14) | 0.0283* | |
H2n2 | 0.594 (3) | 0.828 (4) | 0.9069 (19) | 0.0283* |
U11 | U22 | U33 | U12 | U13 | U23 | |
S1 | 0.0160 (2) | 0.0244 (2) | 0.0212 (2) | −0.00162 (19) | 0.00390 (15) | −0.00288 (19) |
F1 | 0.0331 (7) | 0.0315 (7) | 0.0234 (6) | 0.0111 (6) | 0.0063 (5) | −0.0023 (5) |
F2 | 0.0254 (6) | 0.0511 (9) | 0.0215 (5) | 0.0010 (7) | 0.0015 (4) | −0.0032 (7) |
F3 | 0.0313 (7) | 0.0503 (10) | 0.0362 (8) | −0.0164 (7) | 0.0093 (6) | −0.0083 (7) |
F4 | 0.0424 (8) | 0.0301 (8) | 0.0412 (8) | 0.0171 (7) | 0.0111 (7) | 0.0094 (6) |
N1 | 0.0222 (8) | 0.0310 (11) | 0.0244 (8) | −0.0049 (8) | 0.0070 (6) | −0.0044 (7) |
N2 | 0.0201 (8) | 0.0257 (9) | 0.0251 (9) | −0.0040 (7) | 0.0038 (7) | −0.0055 (7) |
C1 | 0.0152 (9) | 0.0157 (9) | 0.0255 (10) | 0.0000 (7) | 0.0033 (8) | −0.0002 (7) |
C2 | 0.0163 (9) | 0.0177 (9) | 0.0252 (10) | −0.0034 (8) | 0.0033 (8) | −0.0002 (8) |
C3 | 0.0174 (9) | 0.0232 (10) | 0.0207 (9) | −0.0036 (8) | −0.0032 (7) | 0.0015 (8) |
C4 | 0.0141 (9) | 0.0189 (9) | 0.0284 (10) | −0.0003 (8) | 0.0010 (8) | 0.0005 (8) |
C5 | 0.0174 (9) | 0.0161 (9) | 0.0310 (11) | 0.0002 (8) | 0.0037 (8) | −0.0021 (8) |
C6 | 0.0229 (10) | 0.0225 (10) | 0.0241 (10) | −0.0043 (8) | 0.0065 (8) | −0.0034 (8) |
C7 | 0.0257 (10) | 0.0214 (10) | 0.0246 (10) | −0.0030 (8) | −0.0022 (8) | 0.0010 (8) |
C8 | 0.0190 (10) | 0.0173 (9) | 0.0265 (10) | −0.0019 (8) | 0.0004 (8) | 0.0009 (8) |
C9 | 0.0153 (8) | 0.0145 (9) | 0.0246 (10) | −0.0005 (7) | 0.0014 (7) | −0.0002 (7) |
C10 | 0.0140 (9) | 0.0149 (9) | 0.0251 (10) | −0.0033 (7) | 0.0026 (7) | −0.0012 (7) |
C11 | 0.0240 (10) | 0.0201 (10) | 0.0262 (11) | −0.0045 (9) | 0.0054 (8) | −0.0016 (8) |
C12 | 0.0169 (8) | 0.0210 (9) | 0.0210 (9) | −0.0006 (7) | 0.0003 (7) | 0.0023 (7) |
B1 | 0.0187 (9) | 0.0227 (11) | 0.0203 (9) | 0.0045 (10) | 0.0044 (7) | 0.0025 (10) |
S1—C11 | 1.832 (2) | C3—C4 | 1.368 (3) |
S1—C12 | 1.742 (2) | C3—H1c3 | 0.96 |
F1—B1 | 1.390 (3) | C4—C10 | 1.417 (3) |
F2—B1 | 1.395 (2) | C4—H1c4 | 0.96 |
F3—B1 | 1.388 (3) | C5—C6 | 1.368 (3) |
F4—B1 | 1.390 (3) | C5—C10 | 1.423 (3) |
N1—C12 | 1.311 (3) | C5—H1c5 | 0.96 |
N1—H1n1 | 0.860 (17) | C6—C7 | 1.414 (3) |
N1—H2n1 | 0.86 (2) | C6—H1c6 | 0.96 |
N2—C12 | 1.322 (3) | C7—C8 | 1.367 (3) |
N2—H1n2 | 0.86 (2) | C7—H1c7 | 0.96 |
N2—H2n2 | 0.86 (2) | C8—C9 | 1.426 (3) |
C1—C2 | 1.371 (3) | C8—H1c8 | 0.96 |
C1—C9 | 1.417 (3) | C9—C10 | 1.428 (3) |
C1—H1c1 | 0.96 | C11—H1c11 | 0.96 |
C2—C3 | 1.426 (3) | C11—H2c11 | 0.96 |
C2—C11 | 1.506 (3) | ||
C11—S1—C12 | 102.18 (10) | C6—C7—H1c7 | 119.64 |
C12—N1—H1n1 | 123 (2) | C8—C7—H1c7 | 119.64 |
C12—N1—H2n1 | 126 (2) | C7—C8—C9 | 120.4 (2) |
H1n1—N1—H2n1 | 110 (3) | C7—C8—H1c8 | 119.79 |
C12—N2—H1n2 | 116 (2) | C9—C8—H1c8 | 119.79 |
C12—N2—H2n2 | 119.5 (18) | C1—C9—C8 | 122.06 (19) |
H1n2—N2—H2n2 | 125 (3) | C1—C9—C10 | 118.98 (19) |
C2—C1—C9 | 121.27 (19) | C8—C9—C10 | 118.96 (19) |
C2—C1—H1c1 | 119.37 | C4—C10—C5 | 122.68 (18) |
C9—C1—H1c1 | 119.37 | C4—C10—C9 | 118.57 (19) |
C1—C2—C3 | 119.68 (19) | C5—C10—C9 | 118.75 (19) |
C1—C2—C11 | 120.14 (18) | S1—C11—C2 | 107.87 (15) |
C3—C2—C11 | 120.16 (18) | S1—C11—H1c11 | 109.47 |
C2—C3—C4 | 120.15 (19) | S1—C11—H2c11 | 109.47 |
C2—C3—H1c3 | 119.93 | C2—C11—H1c11 | 109.47 |
C4—C3—H1c3 | 119.93 | C2—C11—H2c11 | 109.47 |
C3—C4—C10 | 121.33 (19) | H1c11—C11—H2c11 | 111.02 |
C3—C4—H1c4 | 119.34 | S1—C12—N1 | 122.36 (17) |
C10—C4—H1c4 | 119.33 | S1—C12—N2 | 116.34 (16) |
C6—C5—C10 | 120.8 (2) | N1—C12—N2 | 121.3 (2) |
C6—C5—H1c5 | 119.62 | F1—B1—F2 | 109.59 (17) |
C10—C5—H1c5 | 119.62 | F1—B1—F3 | 111.1 (2) |
C5—C6—C7 | 120.4 (2) | F1—B1—F4 | 109.63 (17) |
C5—C6—H1c6 | 119.82 | F2—B1—F3 | 109.10 (17) |
C7—C6—H1c6 | 119.82 | F2—B1—F4 | 108.5 (2) |
C6—C7—C8 | 120.7 (2) | F3—B1—F4 | 108.87 (18) |
D—H···A | D—H | H···A | D···A | D—H···A |
C3—H1c3···F1i | 0.96 | 2.43 | 3.388 (2) | 173.93 |
N1—H1n1···F1ii | 0.860 (17) | 2.048 (16) | 2.883 (3) | 163 (3) |
N1—H2n1···F2iii | 0.86 (2) | 2.06 (2) | 2.901 (2) | 167 (3) |
N2—H1n2···F2iv | 0.86 (2) | 2.43 (3) | 3.094 (3) | 134 (3) |
N2—H1n2···F3iii | 0.86 (2) | 2.35 (3) | 3.043 (3) | 138 (3) |
N2—H2n2···F4v | 0.86 (2) | 2.14 (2) | 2.964 (3) | 160 (2) |
Symmetry codes: (i) −x+1, y−1/2, −z+1; (ii) −x, y−1/2, −z+1; (iii) x, y, z+1; (iv) −x, y+1/2, −z+1; (v) −x+1, y+1/2, −z+1. |
Acknowledgements
We would like to thank Vincent Favre-Nicolin, the author of the FOX program, for his help and discussion in implementing this method in the source code and for making the code available as part of the released version. Open access publishing facilitated by Fyzikalni ustav Akademie ved Ceske republiky, as part of the Wiley–CzechELib agreement.
Conflict of interest
There are no conflicts of interest.
Data availability
Crystallographic data can be obtained from the CCDC (https://www.ccdc.cam.ac.uk/structures/) using the CCDC numbers noted in Table 1 or from https://doi.org/10.57680/asep.0605079. NMR, IR and X-ray PD data are mostly presented in the supporting information. Alternatively, they can be requested from the correspondance author. The source code, including this approach and also the compiled versions of the program, can be found on the official web pages of the program FOX, https://github.com/vincefn/objcryst.
Funding information
This work was co-funded by the Grant Agency of the Czech Republic (23-05293S) and by the European Union and the Czech Ministry of Education, Youth and Sports, within the project TERAFIT: Teraferroics for ultra-high capacity, speed and energy-efficiency of information technology; CZ.02.01.01/00/22_008/000459.
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