research communications
Structure of racemic calcium 5-methyltetrahydrofolate trihydrate from synchrotron powder diffraction data and density functional theory
aDepartment of Chemistry, North Central College, 131 S. Loomis, St., Naperville IL, 60540 , USA
*Correspondence e-mail: [email protected]
The of the racemic title compound, poly[[(μ-(2S)-2-{[4-({[(6S)-2-amino-5-methyl-1,4,5,6,7,8-hexahydropteridin-6-yl]methyl}amino)phenyl]formamido}pentanedioato)diaquacalcium(II)] monohydrate], {[Ca(C20H23N7O6)(H2O)2]·H2O}n (space group P21/c) has been solved and refined using synchrotron X-ray powder diffraction data and optimized using density functional theory techniques. The structure consists of alternating hydrophilic (Ca/O) and hydrophobic layers lying parallel to the bc plane. An extensive network of O—H⋯O hydrogen bonds link the Ca coordination spheres within the layers. The anions link the Ca2+ ions into chains propagating along the b-axis direction. N—H⋯O hydrogen bonds link the Ca/O units and the anion layers. The calcium ion is 6-coordinate (distorted octahedral), and is isolated. The coordination sphere consists of two water molecules, a chelated carboxylate group, a monodentate carboxylate group, and a carbonyl group. Both the Ca coordination geometry and the extended structure are very different than that of the previously determined enantiopure calcium L-5-methyltetrahydrofolate trihydrate (Form I).
1. Chemical context
Levomefolic acid is a metabolite of folic acid (Vitamin B9), and is a major active form of folate found in foods and in the blood circulation. It is transported across membranes, including the blood-brain barrier. It plays an essential role in DNA and protein synthesis. Levomefolate is approved as a food additive, and is designated as a GRAS (generally recognized as safe) compound. Levomefolate plays major roles in the prevention of birth defects and the formation of red blood cells, which prevents anemia, and has been linked to support for cognitive and mental health. Folic acid deficiency can cause neural tube defects in fetuses and irreversible nervous system damage when combined with vitamin B12 deficiency. It is available commercially as a crystalline calcium salt (trade name Metafolin), which has the required stability for use as a supplement (https://www.drugbank.ca/salts/DBSALY001276). The IUPAC name (CAS Registry number 151533-22-1 for the anhydrous salt) is (2S)-2-[(4-{[(6S)-2-amino-5-methyl-4-oxo-3,6,7,8-tetrahydropteridin-6-yl]methylamino}benzoyl)amino]pentanedioate calcium trihydrate.
Stable crystalline salts of 5-methyltetrahydrofolic acid are disclosed and claimed in US Patent 6,441,168 (Müller et al., 2002
; Eprova AG). The patent includes X-ray powder diffraction data for crystalline Types I–IV of calcium L-5-methyltetrahydrofolate, as well as the amorphous form. The patent includes claims for ‘a water of crystallization of at least one equivalent per equivalent of 5-methyltetrahydrofolic acid' and ‘≥3 equivalents of water'. Commercial samples are generally described as the trihydrate, although the pentahydrate is also available commercially.
The powder pattern of a sample of calcium L-5-methyltetrahydrofolate trihydrate, (I), did not correspond to those of Type I (Müller et al., 2002
; Kaduk et al., 2023
) or any other reported form of the compound. A laboratory pattern could be indexed on a primitive monoclinic unit cell with a = 15.944 (11), b = 11.364 (6), c = 15.409 (6) Å, β = 118.52 (2)°, V = 2453.1 (33) Å3, and Z = 4. The suggested by FOX (Favre-Nicolin and Černý, 2002
) was P21/c, which is impossible for a chiral molecule, and led us to conclude that the sample was racemic.
2. Structural commentary
The synchrotron powder pattern of (I) does not correspond to that of the intended Form I (Fig. 1
, Kaduk et al., 2023
). Solution and refinement of the structure in the centrosymmetric space group P21/c confirms that it is a racemate instead of the intended enantiopure material. In the arbitrarily-chosen atoms C14 and C25 have S configuration, but crystal symmetry generates the other enantiomer.
| Figure 1 Comparison of the synchrotron diffraction pattern of (I) (black) to that of Form I of calcium L-5-methyltetrahydrofolate trihydrate reported by Müller et al. (2002 |
The root-mean-square (r.m.s.) difference of the non-H atoms in the Rietveld-refined and VASP-optimized structures of (I) calculated using the Mercury Calculate/Molecule Overlay tool, is 1.373 Å (Fig. 2
). The agreement is outside the normal range for correct structures (van de Streek & Neumann, 2014
). This large structure, refined using limited data, would be expected to be less accurate than usual. The asymmetric unit is illustrated in Fig. 3
. The refined structure has a close contact between C30 and Ca34, which is relieved on optimization. The Uiso values of the atoms in the side chain are very large, perhaps indicating disorder. Because the VASP optimization requires an ordered model, we prefer to not attempt to model any disorder. The remaining discussion will emphasize the VASP-optimized structure.
| Figure 2 Comparison of the Rietveld-refined structure of (I) (red) to the VASP-optimized structure (blue). The comparison was generated using the Mercury Calculate Molecule Overlay tool; the r.m.s. difference is 1.373 A. |
| Figure 3 The asymmetric unit of (I) with the atom numbering. Image generated using Mercury (Macrae et al., 2020 |
Most of the bond distances, bond angles, and torsion angles for (I) fall within the normal ranges indicated by a Mercury Mogul Geometry check (Macrae et al., 2020
). The C30—O2 bond length of 1.290 Å [average = 1.240 (15) Å, Z-score = 3.4] and the C18—N8 bond of 1.377 Å [average = 1.322 (10) Å, Z-score = 5.4] are flagged as unusual. The uncertainties on these averages are relatively low, inflating the Z-scores, and only a few similar hits were found. No hits were found for the angles O3—C32—C25, O4—C32—C25, and O5—C33—O6, suggesting that the coordination of the anion to the calcium ion is unusual. The angles C15—C14—N7 [114.0°, average = 108.9 (11)°, Z-score = 4.5] and C15—N8—C18 [113.1°, average = 120.1 (4), Z-score = 19.1, 2 hits] are flagged as unusual. The uncertainties on both averages are very low, inflating the Z-scores. Torsion angles involving rotation about the C30—N12 amide bond lie on the tails of planar distributions. Torsion angles involving rotation about the C14—C16 bond (which reflect the orientation of the fused ring system and the phenyl group) lie on the tails of gauche/trans distributions. Both sets of torsion angles are thus slightly unusual.
The Ca2+ ion is 6-coordinate (distorted octahedral), and is isolated. The bond-valence sum is 2.12. The average deviation from the ideal octahedral angles is 14.5 (122)°, and the median deviation is 11.1°. The coordination sphere consists of two water molecules, a chelated carboxylate group O3—C32—O4, a monodentate carboxylate group O5, and a carbonyl group O2. A connectivity search of this coordinate sphere in the Cambridge Structural Database (CSD; Groom et al., 2016
) yielded five hits. CSD refcode FOZDAB (Okamura et al., 2015
) has disordered Ca cations. In the other four [LOBXAE (Das, 2019
), LOMMIJ (Acharya et al., 2000
), PIBSOJ (Cotter et al., 2007
), and WUKZOU (Hong et al., 2020
], one O atom of the chelating carboxylate group also bonds to an adjacent calcium cation. The Ca2+ coordination in this structure is unique.
Quantum chemical geometry optimization of the isolated 5-methyltetrahydrofolate anion (DFT/B3LYP/6-31G*/water) using Spartan '24 (Wavefunction, 2025
) indicated that the observed conformation is 9.6 kJ mol−1 higher in energy than a local minimum (Fig. 4
). The r.m.s. Cartesian displacement between the structures is 1.284 Å. The differences are spread throughout the anion, but are most pronounced in the orientation of the tetrahydropteridin ring system. The global minimum-energy conformation (MMFF force field) is 144.7 kJ mol−1 lower in energy, and is much more compact; the anion folds upon itself to make the phenyl and tetrahydropteridin ring systems parallel and to form intramolecular hydrogen bonds. Intermolecular interactions are clearly important to determining the observed solid-state conformation.
| Figure 4 Comparison of the observed structure of the 5-methyltetrahydrofolate anion (orange) to that of a local minimum (green). The r.m.s. difference is 1.284 Å. |
This racemate is 5687.0 kJ mol−1 cell−1 lower in VASP energy than the previous enantiopure structure (Kaduk et al., 2023
), even though the unit-cell volumes V(rac) = 2532.84 and V(old) = 2523.58 Å3, and thus the densities (1.446 and 1.453 g cm−3, respectively) are similar. The r.m.s. difference is 1.752 Å (Fig. 5
), and the previously determined anion is 67.7 kJ mol−1 lower in energy. In this structure each anion coordinates to two Ca2+ cations, while in the previous structure each anion coordinates to four Ca2+ ions.
| Figure 5 Comparison of the structure of the anion in (I) (blue) to that in enantiopure Type I (orange). The r.m.s. difference is 1.752 Å. |
In (I), the Ca2+ ion is 6-coordinate; the coordination sphere consists of one chelated carboxyl group (O3 and O4), one monodentate carboxyl group (O5, which results in a triple to the Ca), a carbonyl group, and two water molecules. In the previous structure the calcium ion is 7-coordinate; the coordination sphere consists of one chelated carboxyl group: O5 and O6, four mondentate carboxyl groups (O3, O4, O5, and O6), and one water molecule. In this structure the Ca2+ ion are isolated, while in the previous structure the calcium ions form one-dimensional chains. In this structure there is one isolated water molecule, while in the previous structure there are two.
In this structure there are five independent O—H⋯O hydrogen bonds (Table 1
), while in the previous structure there are only three. Likewise there are four and two N—H⋯O hydrogen bonds, and one and three N—H⋯N hydrogen bonds. respectively. We suspect that the hydrogen bonds are the principal contributors to the lower energy of this structure.
|
3. Supramolecular features
The of (I) (Fig. 6
) consists of alternating hydrophilic (Ca/O) and hydrophobic layers lying parallel to the bc plane. An extensive network of O—H⋯O hydrogen bonds (Table 1
) link the Ca coordination spheres within the layers (Fig. 7
). Anions link Ca into chains along the b-axis (Fig. 8
) and N10/N13—H⋯O3 hydrogen bonds link the Ca/O and anion layers (Fig. 9
).
| Figure 6 The crystal structure of (I) viewed down the b-axis direction. |
| | Figure 7 The O—H⋯O hydrogen-bonded layers in (I). On the left is a view down the a-axis, and on the right is a view down the c-axis. |
| | Figure 8 The hydrogen-bonded chains of Ca2+ cations propagating along the b-axis direction. |
| | Figure 9 The N—H⋯O hydrogen bonds, which link the hydrophobic and hydrophilic layers in the extended structure of (I). |
Since both carboxyl groups coordinate to Ca, they make up the outer surface of the `hydrophilic' layer. In the center of these layers, the C/N ring systems interleave in a complex manner (Fig. 10
). The closest phenyl–tetrahydropteridin distance is 4.71 Å (centroids), and the shortest tetrahydropteridin–tetrahydropteridin distance is 6.45 Å. The Mercury Aromatics Analyser indicates only weak interactions between phenyl rings, with distances > 6.8 Å.
| Figure 10 The interleaving of the aromatic ring systems in the extended structure of (I). |
Analysis of the contributions to the total crystal energy of the structure using the Forcite module of Materials Studio (Dassault Systèmes, 2024
) indicated that the intramolecular energy is dominated by angle distortion terms, as expected for a system containing fused rings. The intermolecular energy is small, and consists mainly of van der Waals attractions. The hydrogen bonds are better discussed using the results of the DFT calculation.
Hydrogen bonds (Table 1
) are important in the crystal structure of (I). The coordinated water molecule O57 acts as a donor to an `intramolecular' carboxylate O4 atom and to the coordinated carbonyl group O2. The coordinated water molecule O59 acts as a donor in two very strong hydrogen bonds to the carboxylate O6 and the free water molecule O58. The energies of the O—H⋯O hydrogen bonds were calculated using the correlation of Rammohan & Kaduk (2018
). The uncoordinated water molecule O58 makes a strong O—H⋯O hydrogen bond to the carboxylate O5, and makes bifurcated O—H⋯(C,C) hydrogen bonds to the phenyl ring atoms C24 and C29, i.e., an O—H⋯π link. These are among the most negatively charged C atoms in the anion.
As noted above, the N10/N13—H37/H39⋯O3 hydrogen bonds link the Ca/O and anion layers from the tetrahydropteridin ring systems and one of the carboxylate O atoms. The amide N12 atom makes a strong intramolecular N—H⋯O hydrogen bond to the coordinated water molecule O59. The ring N8 atom makes a weaker intermolecular hydrogen bond to the coordinated water molecule O57. The energies of the N—H⋯O hydrogen bonds were calculated using the correlation of Wheatley & Kaduk (2019
). There is an intramolecular N9—H36⋯N7 hydrogen bond. Several C—H⋯O and two C—H⋯N hydrogen bonds also contribute to the cohesion of the structure.
Although the Ca coordination spheres are isolated (i.e., they do not share corners, edges, or faces), they are linked by a centrosymmetric pair of O57—H62⋯O2 hydrogen bonds between one of the coordinated water molecules and the coordinated carbonyl group. This ring pattern (Fig. 11
) has the graph-set (Etter, 1990
) motif R22(8). N8 and N10 participate in the same R22(8) pattern, which links the anion and the Ca coordination sphere (Fig. 12
).
| Figure 11 The R22(8) ring pattern that links the Ca2+ cations in the extended structure of (I). |
| Figure 12 The R22(8) pattern that links the Ca2+ cations and the tetrahydropteridin ring system. |
The Bravais–Friedel–Donnay–Harker (Bravais, 1866
; Friedel, 1907
; Donnay & Harker, 1937
) algorithm suggests that we might expect platy morphology for (I), with {100} as the major faces. A 4th-order spherical harmonic model was included in the refinement. The texture index was 1.140 (6), indicating that the preferred orientation was significant in this rotated capillary specimen.
4. Database survey
A connectivity search of the anion in the Cambridge Structural Database (CSD, Version 2025.2.0; Groom et al., 2016
) yielded no hits; our structure of Type I (Kaduk et al., 2023
) is not yet in the CSD. The powder pattern of Type I is included in the Powder Diffraction File (Kabekkodu et al., 2024
) as entry 00-074-0084. A reduced cell search in the CSD yielded seven hits, but no structures for folate or its derivatives.
5. Synthesis and crystallization
The compound stated to be enantiopure calcium L-5-methyltetrahydrofolate trihydrate (batch #414012519), synthesized by Allastir Private Limited, was supplied by Virtus Pharmaceuticals and used as received.
6. Refinement
Crystal data, data collection and structure details are summarized in Table 2
.
|
The pale-yellow powder was packed into a 1.5 mm diameter Kapton capillary, and rotated during the measurement at ∼50 Hz. The powder pattern was measured at 295 K at beam line 11-BM (Lee et al., 2008
, Wang et al., 2008
, Antao et al., 2008
) of the Advanced Photon Source at Argonne National Laboratory using a wavelength of 0.413691 (2) Å from 0.5–50° 2θ with a step size of 0.001° and a counting time of 0.1 sec step−1. The high-resolution powder diffraction data were collected using twelve silicon crystal analyzers that allow for high angular resolution, high precision, and accurate peak positions. A mixture of silicon (NIST SRM 640c) and alumina (NIST SRM 676a) standards (ratio Al2O3:Si = 2:1 by weight) was used to calibrate the instrument and refine the monochromatic wavelength used in the experiment. The synchrotron pattern was indexed both by JADE Pro (MDI, 2025
) and N-TREOR (Altomare et al., 2013
) on a similar primitive monoclinic unit cell having a = 16.4341, b = 11.2869, c = 15.4326 Å, β = 117.74°, V = 2533.6 Å3, and Z = 4. The suggested by both programs was P21/c, which was confirmed by successful solution and refinement of the structure.
Attempts to solve the structure by Monte Carlo simulated annealing techniques using a Ca atom, a levomefolate anion from the Kaduk et al. (2023
) structure, and three O atoms (water molecules) as fragments in several programs were unsuccessful, yielding solutions with severe molecular overlap and/or unreasonable conformations. What turned out to be successful was to use a Ca–levomefolate fragment from the previous structure (chelated through O3 and O4) and three O atoms as fragments in EXPO2014 (Altomare et al., 2013
). Although this structure had two close intermolecular contacts, it was used to begin refinement.
In the initial refinement O59 and O60 moved too close to O6 and so were removed from the model, and the N13⋯O3 short contact was still present. A new O59 was placed in the void in the structure; it again moved too close to O6 and was removed from the model. O58 was placed at its original position bound to the Ca, and O59 and O60 were placed in two new voids. After recalculation of the H-atom positions in Materials Studio (Dassault Systèmes, 2024
), O60 was too close to the anion, and was relocated in a new void. Refinement of this model yielded a negative occupancy for O59 and O60 too close to the anion. Both were removed from the model.
The arrangement of the Ca cations suggested the possibility that they were bridged by two symmetry-equivalent water molecules. A search of this connectivity in the CSD yielded 44 hits, so this arrangement is not unprecedented. Optimization of this dihydrate model first using the Forcite module of Materials Studio and then VASP broke one of the bridging Ca—O bonds (yielding two monodentate water molecules) and moved the dicarboxylate side chain of the anion much more than usual, yielded a tris-chelated anion. The poor agreement of the refined and optimized structure, as well as poorer agreement with the diffraction data, led us to abandon this dihydrate model. The trihydrate structure (two coordinated water molecules and one zeolitic) was optimized with VASP.
Rietveld refinement of the VASP-optimized trihydrate structure was carried out with GSAS-II (Toby & Von Dreele, 2013
). Only the 1.0–14.0° portion of the pattern was included in the refinements (dmin = 1.697 Å). All non-H atom bond distances and angles were subjected to restraints, based on a Mercury/Mogul Geometry Check (Sykes et al., 2011
; Bruno et al., 2004
). The Mogul average and standard deviation for each quantity were used as the restraint parameters. The phenyl ring was restrained to be planar. The restraints contributed 18.3% to the overall χ2. The hydrogen atoms were included in calculated positions, which were recalculated during the refinement using Materials Studio (Dassault Systèmes, 2024
). The Uiso values for the heavy atoms were grouped by chemical similarity. For N9 and C16, they refined to slightly negative values, so these were fixed at a reasonable value. The Uiso values for the hydrogen atoms were fixed at the value of the heavy atoms to which they are attached. The peak profiles were described using the generalized microstrain model (Stephens, 1999
). The background was modeled using a six-term shifted Chebyshev polynomial, with peaks at 1.54, 4.85, and 6.90° to model the scattering from the Kapton capillary and any amorphous component of the sample.
The final refinement of 152 variables using 13,002 observations and 106 restraints yielded the residuals Rwp = 0.089 and GOF = 1.66. The largest peak (1.59 Å from C24) and hole (1.57 Å from C19) in the difference-Fourier map are 0.24 (7) and −0.28 (7) e Å−3, respectively. The final Rietveld plot is shown in Fig. 13
. The largest features in the normalized error plot are the intensities of the 320 peak at 6.45° and the 13 peak at 7.02°.
| Figure 13 The difference plot for the Rietveld refinement of (I). The blue crosses represent the observed data points, and the green line is the calculated pattern. The cyan curve is the normalized error plot, and the red line is the background curve. The blue tick marks indicate the peak positions. The vertical scale has been multiplied by a factor of 5 for 2θ > 8.7°. |
The of racemic calcium 5-methyltetrahydrofolate trihydrate was optimized (fixed experimental unit cell) with density functional techniques using VASP (Kresse & Furthmüller, 1996
) through the MedeA graphical interface (Materials Design, 2024
). The calculation was carried out on 32 cores of a 144-core (768 Gb memory) HPE Superdome Flex 280 Linux server at North Central College. The calculation used the GGA-PBE functional, a plane wave cutoff energy of 400.0 eV, and a k-point spacing of 0.5 Å−1 leading to a 1 × 2 × 1 mesh, and took ∼26.2 h. Single-point density functional calculations (fixed experimental cell) and population analysis were carried out using CRYSTAL23 (Erba et al., 2023
). The basis sets for the H, C, N, and O atoms in the calculation were those of Gatti et al. (1994
), and that for Ca was that of Peintinger et al. (2013
). The calculations were run on a 3.5 GHz PC using 8 k-points and the B3LYP functional, and took about 4.0 h.
Supporting information
contains datablocks I, I_VASP. DOI: https://doi.org/10.1107/S2056989025010515/hb8169sup1.cif
| C20H29CaN7O9 | V = 2533.30 (9) Å3 |
| Mr = 551.57 | Z = 4 |
| Monoclinic, P21/c | Dx = 1.446 Mg m−3 |
| a = 16.462 (2) Å | Synchotron radiation, λ = 0.41369 Å |
| b = 11.2800 (4) Å | µ = 0.02 mm−1 |
| c = 15.431 (2) Å | T = 295 K |
| β = 117.854 (4)° | cylinder, 3 × 1.5 mm |
| 11-BM APS diffractometer | Scan method: step |
| Specimen mounting: Kapton capillary | 2θmin = 0.500°, 2θmax = 49.989°, 2θstep = 0.001° |
| Data collection mode: transmission |
| Least-squares matrix: full | 152 parameters |
| Rp = 0.061 | 106 restraints |
| Rwp = 0.080 | 28 constraints |
| Rexp = 0.054 | Weighting scheme based on measured s.u.'s |
| R(F2) = 0.20984 | (Δ/σ)max = 0.562 |
| 49497 data points | Background function: Background function: "chebyschev-1" function with 6 terms: 221(3), 6.1(20), 61(5), -88(3), -17.5(18), 28.1(21), Background peak parameters: pos, int, sig, gam: 4.85(6), 7.5(5)e4, 9.8(6)e3, 0.100, 6.90(6), 7.7(6)e4, 1.04(7)e4, 0.100, 1.542(8), 1.17(13)e3, 49(10), 0.100, |
| Profile function: Finger-Cox-Jephcoat function parameters U, V, W, X, Y, SH/L: peak variance(Gauss) = Utan(Th)2+Vtan(Th)+W: peak HW(Lorentz) = X/cos(Th)+Ytan(Th); SH/L = S/L+H/L U, V, W in (centideg)2, X & Y in centideg 1.163, -0.126, 0.063, 0.000, 0.000, 0.002, | Preferred orientation correction: Simple spherical harmonic correction Order = 4 Coefficients: 0:0:C(2,-2) = 0.097(18); 0:0:C(2,0) = -0.310(20); 0:0:C(2,2) = -0.224(25); 0:0:C(4,-4) = -0.788(25); 0:0:C(4,-2) = 0.152(21); 0:0:C(4,0) = -0.565(24); 0:0:C(4,2) = -0.093(29); 0:0:C(4,4) = -0.106(28) |
| x | y | z | Uiso*/Ueq | ||
| O1 | 0.0612 (13) | 0.654 (2) | 0.9996 (8) | 0.086 (7)* | |
| O2 | 0.3927 (14) | 0.4819 (15) | 0.5608 (15) | 0.353 (12)* | |
| O3 | 0.3201 (13) | 0.0703 (17) | 0.7151 (16) | 0.353 (12)* | |
| O4 | 0.4513 (14) | 0.1719 (17) | 0.7822 (12) | 0.353 (12)* | |
| O5 | 0.4693 (18) | −0.095 (2) | 0.6667 (14) | 0.353 (12)* | |
| O6 | 0.420 (3) | −0.1450 (18) | 0.5111 (16) | 0.353 (12)* | |
| N7 | 0.0588 (8) | 0.7359 (10) | 0.8125 (8) | 0.086 (7)* | |
| N8 | −0.1186 (9) | 0.7459 (15) | 0.6733 (10) | 0.086 (7)* | |
| N9 | 0.1252 (12) | 0.5511 (15) | 0.7411 (13) | 0.0800* | |
| N10 | −0.1617 (7) | 0.6105 (17) | 0.7545 (12) | 0.086 (7)* | |
| N11 | −0.0516 (11) | 0.5285 (12) | 0.9040 (11) | 0.086 (7)* | |
| N12 | 0.4084 (13) | 0.2978 (14) | 0.6214 (18) | 0.353 (12)* | |
| N13 | −0.2048 (13) | 0.481 (2) | 0.8413 (19) | 0.086 (7)* | |
| C14 | 0.0421 (9) | 0.7403 (15) | 0.7101 (9) | 0.086 (7)* | |
| C15 | −0.0510 (12) | 0.7969 (18) | 0.6481 (12) | 0.086 (7)* | |
| C16 | 0.0457 (10) | 0.618 (2) | 0.6735 (11) | 0.0800* | |
| C17 | −0.0086 (7) | 0.6796 (14) | 0.8253 (7) | 0.086 (7)* | |
| C18 | −0.0929 (7) | 0.6668 (11) | 0.7448 (7) | 0.086 (7)* | |
| C19 | 0.1103 (19) | 0.836 (2) | 0.8741 (16) | 0.086 (7)* | |
| C20 | 0.0119 (10) | 0.6152 (14) | 0.9164 (7) | 0.086 (7)* | |
| C21 | 0.1867 (10) | 0.514 (3) | 0.7123 (14) | 0.307 (14)* | |
| C22 | −0.1376 (10) | 0.540 (2) | 0.8344 (15) | 0.086 (7)* | |
| C23 | 0.2803 (10) | 0.519 (6) | 0.7755 (17) | 0.307 (14)* | |
| C24 | 0.1562 (12) | 0.475 (5) | 0.6169 (15) | 0.307 (14)* | |
| C25 | 0.3492 (13) | 0.1977 (15) | 0.6108 (13) | 0.353 (12)* | |
| C26 | 0.3120 (13) | 0.442 (2) | 0.6485 (16) | 0.307 (14)* | |
| C27 | 0.345 (2) | 0.109 (2) | 0.5327 (12) | 0.353 (12)* | |
| C28 | 0.3422 (11) | 0.480 (5) | 0.7446 (16) | 0.307 (14)* | |
| C29 | 0.2183 (14) | 0.443 (5) | 0.5847 (18) | 0.307 (14)* | |
| C30 | 0.3781 (17) | 0.4084 (14) | 0.6120 (18) | 0.353 (12)* | |
| C31 | 0.439 (2) | 0.0578 (16) | 0.552 (2) | 0.353 (12)* | |
| C32 | 0.3787 (14) | 0.1371 (18) | 0.7102 (12) | 0.353 (12)* | |
| C33 | 0.4518 (16) | −0.0721 (16) | 0.5796 (14) | 0.353 (12)* | |
| H35 | −0.19170 | 0.77330 | 0.63258 | 0.0860* | |
| H36 | 0.13503 | 0.53082 | 0.81578 | 0.0800* | |
| H37 | −0.23431 | 0.62330 | 0.69841 | 0.0860* | |
| H38 | 0.48079 | 0.28272 | 0.63774 | 0.3530* | |
| H39 | −0.26479 | 0.47245 | 0.76741 | 0.0860* | |
| H40 | −0.22538 | 0.53023 | 0.89017 | 0.0860* | |
| H41 | 0.09738 | 0.79731 | 0.70599 | 0.0860* | |
| H42 | −0.04601 | 0.89647 | 0.66233 | 0.0860* | |
| H43 | −0.07304 | 0.78004 | 0.56729 | 0.0860* | |
| H44 | −0.01902 | 0.56744 | 0.66078 | 0.0800* | |
| H45 | 0.04698 | 0.62727 | 0.60060 | 0.0800* | |
| H46 | 0.06109 | 0.89824 | 0.88506 | 0.0860* | |
| H47 | 0.14541 | 0.88674 | 0.83676 | 0.0860* | |
| H48 | 0.16439 | 0.80226 | 0.94830 | 0.0860* | |
| H49 | 0.30626 | 0.55502 | 0.85297 | 0.3070* | |
| H50 | 0.07940 | 0.46907 | 0.56474 | 0.3070* | |
| H51 | 0.27683 | 0.23374 | 0.58496 | 0.3530* | |
| H52 | 0.31251 | 0.15519 | 0.45838 | 0.3530* | |
| H53 | 0.29985 | 0.03045 | 0.52912 | 0.3530* | |
| H54 | 0.41885 | 0.47878 | 0.79795 | 0.3070* | |
| H55 | 0.19196 | 0.41720 | 0.50459 | 0.3070* | |
| H56 | 0.44720 | 0.06720 | 0.48279 | 0.3530* | |
| H60 | 0.49554 | 0.11077 | 0.61325 | 0.3530* | |
| Ca34 | 0.5495 (10) | 0.4654 (11) | 0.6731 (10) | 0.339 (13)* | |
| O57 | 0.6087 (18) | 0.5830 (18) | 0.5584 (19) | 0.0879* | |
| H61 | 0.60810 | 0.55340 | 0.50400 | 0.0879* | |
| H62 | 0.61710 | 0.65090 | 0.59210 | 0.0879* | |
| O59 | 0.5736 (15) | 0.2707 (16) | 0.6397 (16) | 0.0879* | |
| H65 | 0.59890 | 0.25060 | 0.70350 | 0.0879* | |
| H66 | 0.57580 | 0.22990 | 0.59080 | 0.0879* | |
| O58 | 0.356 (3) | 0.785 (3) | 0.182 (3) | 0.0879* | |
| H63 | 0.31080 | 0.83930 | 0.16760 | 0.0879* | |
| H64 | 0.39050 | 0.72700 | 0.17760 | 0.0879* |
| O1—C20 | 1.235 (3) | C27—C31 | 1.545 (5) |
| O2—C30 | 1.243 (2) | C27—H52 | 1.14 (2) |
| O2—Ca34 | 2.351 (16) | C27—H53 | 1.14 (3) |
| O2—H61i | 1.07 (2) | C28—C23 | 1.386 (4) |
| O3—C32 | 1.254 (4) | C28—C26 | 1.393 (3) |
| O3—H40ii | 1.71 (2) | C28—H54 | 1.140 (15) |
| O3—Ca34iii | 2.350 (14) | C29—C24 | 1.378 (4) |
| O4—C32 | 1.256 (4) | C29—C26 | 1.389 (3) |
| O4—Ca34iii | 2.431 (14) | C29—H55 | 1.139 (15) |
| O5—C33 | 1.263 (4) | C30—O2 | 1.243 (2) |
| O5—Ca34iii | 2.718 (15) | C30—N12 | 1.326 (5) |
| O6—C33 | 1.246 (4) | C30—C26 | 1.489 (3) |
| N7—C14 | 1.473 (2) | C30—Ca34 | 2.60 (2) |
| N7—C17 | 1.370 (4) | C31—C27 | 1.545 (5) |
| N7—C19 | 1.468 (3) | C31—C33 | 1.514 (3) |
| N8—C15 | 1.4582 (17) | C31—H56 | 1.14 (2) |
| N8—C18 | 1.3248 (17) | C31—H60 | 1.14 (3) |
| N8—H35 | 1.110 (11) | C32—O3 | 1.254 (4) |
| N9—C16 | 1.445 (3) | C32—O4 | 1.256 (4) |
| N9—C21 | 1.347 (5) | C32—C25 | 1.536 (3) |
| N9—H36 | 1.110 (16) | C32—Ca34iii | 2.530 (18) |
| N10—C18 | 1.368 (3) | C33—O5 | 1.263 (4) |
| N10—C22 | 1.364 (4) | C33—O6 | 1.246 (4) |
| N10—H37 | 1.110 (11) | C33—C31 | 1.514 (3) |
| N11—C20 | 1.379 (3) | H35—N8 | 1.110 (11) |
| N11—C22 | 1.323 (4) | H36—N9 | 1.110 (16) |
| N12—C25 | 1.450 (3) | H37—N10 | 1.110 (11) |
| N12—C30 | 1.326 (5) | H38—N12 | 1.110 (17) |
| N12—H38 | 1.110 (17) | H38—O59 | 1.52 (2) |
| N13—C22 | 1.336 (4) | H39—N13 | 1.11 (2) |
| N13—H39 | 1.11 (2) | H40—O3iv | 1.71 (2) |
| N13—H40 | 1.11 (3) | H40—N13 | 1.11 (3) |
| C14—N7 | 1.473 (2) | H41—C14 | 1.141 (11) |
| C14—C15 | 1.5164 (18) | H42—C15 | 1.14 (2) |
| C14—C16 | 1.506 (6) | H43—C15 | 1.140 (18) |
| C14—H41 | 1.141 (11) | H44—C16 | 1.140 (19) |
| C15—N8 | 1.4582 (17) | H45—C16 | 1.140 (18) |
| C15—C14 | 1.5164 (18) | H46—C19 | 1.14 (3) |
| C15—H42 | 1.14 (2) | H47—C19 | 1.14 (2) |
| C15—H43 | 1.140 (18) | H48—C19 | 1.14 (3) |
| C16—N9 | 1.445 (3) | H49—C23 | 1.140 (15) |
| C16—C14 | 1.506 (6) | H50—C24 | 1.140 (16) |
| C16—H44 | 1.140 (19) | H51—C25 | 1.14 (2) |
| C16—H45 | 1.140 (18) | H52—C27 | 1.14 (2) |
| C17—N7 | 1.370 (4) | H53—C27 | 1.14 (3) |
| C17—C18 | 1.370 (5) | H54—C28 | 1.140 (15) |
| C17—C20 | 1.474 (6) | H55—C29 | 1.139 (15) |
| C18—N8 | 1.3248 (17) | H56—C31 | 1.14 (2) |
| C18—N10 | 1.368 (3) | H60—C31 | 1.14 (3) |
| C18—C17 | 1.370 (5) | Ca34—O2 | 2.351 (16) |
| C19—N7 | 1.468 (3) | Ca34—O3v | 2.350 (14) |
| C19—H46 | 1.14 (3) | Ca34—O4v | 2.431 (14) |
| C19—H47 | 1.14 (2) | Ca34—O5v | 2.718 (15) |
| C19—H48 | 1.14 (3) | Ca34—C30 | 2.60 (2) |
| C20—O1 | 1.235 (3) | Ca34—C32v | 2.530 (18) |
| C20—N11 | 1.379 (3) | Ca34—O57 | 2.729 (14) |
| C20—C17 | 1.474 (6) | Ca34—O59 | 2.332 (14) |
| C21—N9 | 1.347 (5) | O57—Ca34 | 2.729 (14) |
| C21—C23 | 1.387 (3) | O57—H61 | 0.90 (2) |
| C21—C24 | 1.388 (3) | O57—H62 | 0.90 (2) |
| C22—N10 | 1.364 (4) | H61—O2i | 1.07 (2) |
| C22—N11 | 1.323 (4) | H61—O57 | 0.90 (2) |
| C22—N13 | 1.336 (4) | H62—O57 | 0.90 (2) |
| C23—C21 | 1.387 (3) | O59—H38 | 1.52 (2) |
| C23—C28 | 1.386 (4) | O59—Ca34 | 2.332 (14) |
| C23—H49 | 1.140 (15) | O59—H65 | 0.90 (2) |
| C24—C21 | 1.388 (3) | O59—H66 | 0.900 (19) |
| C24—C29 | 1.378 (4) | H65—O59 | 0.90 (2) |
| C24—H50 | 1.140 (16) | H65—H66 | 1.6141 |
| C25—N12 | 1.450 (3) | H65—O58i | 1.61 (3) |
| C25—C27 | 1.543 (4) | H66—O59 | 0.900 (19) |
| C25—C32 | 1.536 (3) | H66—H65 | 1.6141 |
| C25—H51 | 1.14 (2) | O58—H65i | 1.61 (3) |
| C26—C28 | 1.393 (3) | O58—H63 | 0.90 (3) |
| C26—C29 | 1.389 (3) | O58—H64 | 0.90 (3) |
| C26—C30 | 1.489 (3) | H63—O58 | 0.90 (3) |
| C27—C25 | 1.543 (4) | H64—O58 | 0.90 (3) |
| C30—O2—Ca34 | 87.1 (12) | N10—C22—N11 | 122.6 (2) |
| C30—O2—H61i | 115.0 (15) | N10—C22—N13 | 117.4 (3) |
| Ca34—O2—H61i | 100.9 (12) | N11—C22—N13 | 120.0 (3) |
| C32—O3—Ca34iii | 83.2 (9) | C21—C23—C28 | 120.0 (4) |
| C14—N7—C17 | 114.3 (4) | C21—C23—H49 | 120.0 (10) |
| C14—N7—C19 | 115.5 (5) | C28—C23—H49 | 119.9 (10) |
| C17—N7—C19 | 121.8 (6) | C21—C24—C29 | 120.3 (3) |
| C15—N8—C18 | 120.1 (3) | C21—C24—H50 | 120.0 (11) |
| C15—N8—H35 | 120.0 (9) | C29—C24—H50 | 119.7 (12) |
| C18—N8—H35 | 120.0 (9) | N12—C25—C27 | 112.1 (3) |
| C16—N9—C21 | 119.3 (4) | N12—C25—C32 | 110.7 (3) |
| C16—N9—H36 | 120.0 (14) | C27—C25—C32 | 111.6 (5) |
| C21—N9—H36 | 120.7 (14) | N12—C25—H51 | 107.4 (11) |
| C18—N10—C22 | 117.7 (3) | C27—C25—H51 | 107.4 (13) |
| C18—N10—H37 | 120.0 (9) | C32—C25—H51 | 107.4 (13) |
| C22—N10—H37 | 122.3 (9) | C28—C26—C29 | 118.58 (17) |
| C20—N11—C22 | 120.0 (4) | C28—C26—C30 | 121.3 (4) |
| C25—N12—C30 | 121.4 (4) | C29—C26—C30 | 120.0 (4) |
| C25—N12—H38 | 120.0 (11) | C25—C27—C31 | 114.7 (4) |
| C30—N12—H38 | 118.5 (12) | C25—C27—H52 | 108.6 (15) |
| C22—N13—H39 | 109.4 (12) | C31—C27—H52 | 109 (3) |
| C22—N13—H40 | 110 (3) | C25—C27—H53 | 109.5 (16) |
| H39—N13—H40 | 109.5 (19) | C31—C27—H53 | 106.9 (14) |
| N7—C14—C15 | 108.57 (18) | H52—C27—H53 | 108.5 (18) |
| N7—C14—C16 | 110.57 (14) | C23—C28—C26 | 120.7 (3) |
| C15—C14—C16 | 110.9 (2) | C23—C28—H54 | 119.9 (11) |
| N7—C14—H41 | 108.9 (10) | C26—C28—H54 | 119.4 (12) |
| C15—C14—H41 | 108.9 (11) | C24—C29—C26 | 120.8 (3) |
| C16—C14—H41 | 108.9 (13) | C24—C29—H55 | 119.2 (14) |
| N8—C15—C14 | 109.7 (2) | C26—C29—H55 | 120.1 (14) |
| N8—C15—H42 | 109.4 (15) | O2—C30—N12 | 121.5 (3) |
| C14—C15—H42 | 109.4 (12) | O2—C30—C26 | 117.6 (3) |
| N8—C15—H43 | 109.5 (15) | N12—C30—C26 | 120.0 (5) |
| C14—C15—H43 | 109.4 (11) | C27—C31—C33 | 114.3 (5) |
| H42—C15—H43 | 109.4 (7) | C27—C31—H56 | 110 (3) |
| N9—C16—C14 | 112.9 (4) | C33—C31—H56 | 107.0 (13) |
| N9—C16—H44 | 108.9 (19) | C27—C31—H60 | 108.6 (12) |
| C14—C16—H44 | 108.9 (9) | C33—C31—H60 | 109 (2) |
| N9—C16—H45 | 109.5 (12) | H56—C31—H60 | 108.7 (15) |
| C14—C16—H45 | 107.8 (17) | O3—C32—O4 | 125.1 (4) |
| H44—C16—H45 | 108.9 (10) | O3—C32—C25 | 115.8 (4) |
| N7—C17—C18 | 117.6 (2) | O4—C32—C25 | 118.0 (3) |
| N7—C17—C20 | 121.7 (3) | O5—C33—O6 | 124.1 (4) |
| C18—C17—C20 | 119.76 (18) | O5—C33—C31 | 115.7 (4) |
| N8—C18—N10 | 116.4 (3) | O6—C33—C31 | 116.8 (4) |
| N8—C18—C17 | 118.6 (4) | N12—H38—Ca34 | 105.9 (10) |
| N10—C18—C17 | 119.3 (2) | O2—Ca34—O3v | 144.4 (5) |
| N7—C19—H46 | 109.5 (17) | O2—Ca34—H38 | 69.2 (4) |
| N7—C19—H47 | 109.4 (11) | O3v—Ca34—H38 | 143.9 (6) |
| H46—C19—H47 | 110 (2) | O2—Ca34—O59 | 98.8 (5) |
| N7—C19—H48 | 109.4 (18) | O3v—Ca34—O59 | 116.4 (5) |
| H46—C19—H48 | 109.6 (15) | H38—Ca34—O59 | 38.4 (5) |
| H47—C19—H48 | 109 (2) | H61—O57—H62 | 142 (2) |
| O1—C20—N11 | 118.8 (3) | O2i—H61—O57 | 179.9 (13) |
| O1—C20—C17 | 124.4 (6) | Ca34—O59—H65 | 92.0 (12) |
| N11—C20—C17 | 113.3 (3) | Ca34—O59—H66 | 138.1 (17) |
| N9—C21—C23 | 121.0 (3) | H65—O59—H66 | 128 (2) |
| N9—C21—C24 | 119.5 (3) | H63—O58—H64 | 163 (4) |
| C23—C21—C24 | 119.41 (16) |
| Symmetry codes: (i) −x+1, −y+1, −z+1; (ii) −x, y−1/2, −z+3/2; (iii) −x+1, y−1/2, −z+3/2; (iv) −x, y+1/2, −z+3/2; (v) −x+1, y+1/2, −z+3/2. |
| [Ca(C20H23N7O6)(H2O)2]·H2O | c = 15.4287 Å |
| Mr = 551.57 | β = 117.86° |
| Monoclinic, P21/c | V = 2532.84 Å3 |
| a = 16.4610 Å | Z = 4 |
| b = 11.2801 Å | T = 295 K |
| x | y | z | Biso*/Beq | ||
| O1 | 0.13566 | 0.70774 | 1.00951 | ||
| O2 | 0.41966 | 0.42136 | 0.58093 | ||
| O3 | 0.29242 | −0.00251 | 0.67295 | ||
| O4 | 0.42010 | 0.10694 | 0.75199 | ||
| O5 | 0.43639 | −0.17961 | 0.69842 | ||
| O6 | 0.39155 | −0.25179 | 0.54798 | ||
| N7 | 0.05880 | 0.68205 | 0.79615 | ||
| N8 | −0.11769 | 0.58664 | 0.70651 | ||
| N9 | 0.09150 | 0.52271 | 0.67370 | ||
| N10 | −0.12035 | 0.58077 | 0.85798 | ||
| N11 | 0.00194 | 0.64850 | 1.00439 | ||
| N12 | 0.39032 | 0.22700 | 0.58383 | ||
| N13 | −0.12688 | 0.56526 | 1.00539 | ||
| C14 | 0.00480 | 0.69869 | 0.68938 | ||
| C15 | −0.09826 | 0.67389 | 0.64879 | ||
| C16 | 0.05100 | 0.63726 | 0.63436 | ||
| C17 | 0.01069 | 0.66421 | 0.85097 | ||
| C18 | −0.07577 | 0.61244 | 0.80519 | ||
| C19 | 0.13942 | 0.76049 | 0.83468 | ||
| C20 | 0.05307 | 0.67737 | 0.95737 | ||
| C21 | 0.15616 | 0.47466 | 0.65244 | ||
| C22 | −0.07910 | 0.59947 | 0.95634 | ||
| C23 | 0.20736 | 0.37338 | 0.70253 | ||
| C24 | 0.17614 | 0.52626 | 0.58049 | ||
| C25 | 0.33511 | 0.12286 | 0.57521 | ||
| C26 | 0.29356 | 0.37675 | 0.60998 | ||
| C27 | 0.35398 | 0.02425 | 0.51743 | ||
| C28 | 0.27321 | 0.32543 | 0.68094 | ||
| C29 | 0.24465 | 0.47964 | 0.56231 | ||
| C30 | 0.37015 | 0.34014 | 0.59206 | ||
| C31 | 0.44264 | −0.04915 | 0.57708 | ||
| C32 | 0.35019 | 0.07457 | 0.67412 | ||
| C33 | 0.42236 | −0.16853 | 0.60989 | ||
| H35 | −0.18561 | 0.56359 | 0.67704 | ||
| H36 | 0.09276 | 0.50005 | 0.73826 | ||
| H37 | −0.18480 | 0.54237 | 0.82579 | ||
| H38 | 0.45058 | 0.21627 | 0.57917 | ||
| H39 | −0.17049 | 0.49511 | 0.97330 | ||
| H40 | −0.08332 | 0.55098 | 1.07772 | ||
| H41 | 0.00844 | 0.79356 | 0.67308 | ||
| H42 | −0.13291 | 0.75868 | 0.64695 | ||
| H43 | −0.12671 | 0.64234 | 0.57308 | ||
| H44 | −0.00037 | 0.62877 | 0.55666 | ||
| H45 | 0.10382 | 0.69757 | 0.63470 | ||
| H46 | 0.11872 | 0.85487 | 0.82828 | ||
| H47 | 0.17518 | 0.74691 | 0.79055 | ||
| H48 | 0.18556 | 0.74050 | 0.91150 | ||
| H49 | 0.19554 | 0.33384 | 0.76029 | ||
| H50 | 0.14189 | 0.60725 | 0.54241 | ||
| H51 | 0.26219 | 0.14818 | 0.53432 | ||
| H52 | 0.35647 | 0.06664 | 0.45434 | ||
| H53 | 0.29437 | −0.03566 | 0.48652 | ||
| H54 | 0.31436 | 0.25156 | 0.72465 | ||
| H55 | 0.26225 | 0.52604 | 0.51125 | ||
| H56 | 0.47397 | −0.06874 | 0.52950 | ||
| H60 | 0.49337 | 0.00057 | 0.64075 | ||
| Ca34 | 0.57864 | 0.41693 | 0.68106 | ||
| O57 | 0.64519 | 0.54999 | 0.60875 | ||
| H61 | 0.62494 | 0.61942 | 0.63160 | ||
| H62 | 0.61835 | 0.55840 | 0.53548 | ||
| O59 | 0.57705 | 0.24688 | 0.59726 | ||
| H65 | 0.60649 | 0.18401 | 0.64869 | ||
| H66 | 0.59473 | 0.24136 | 0.54090 | ||
| O58 | 0.37907 | 0.88448 | 0.24975 | ||
| H63 | 0.32047 | 0.91148 | 0.19674 | ||
| H64 | 0.40245 | 0.82484 | 0.21898 |
| D—H···A | D—H | H···A | D···A | D—H···A |
| N8—H35···O57i | 1.02 | 2.48 | 3.490 | 169 |
| N10—H37···O3ii | 1.03 | 1.85 | 2.805 | 152 |
| N12—H38···O59 | 1.03 | 2.00 | 2.991 | 160 |
| N13—H39···O3ii | 1.03 | 2.21 | 2.928 | 125 |
| N13—H39···O1iii | 1.03 | 2.34 | 3.086 | 128 |
| O57—H61···O4iv | 0.98 | 2.24 | 2.888 | 122 |
| O57—H62···O2v | 1.01 | 1.62 | 2.625 | 176 |
| O58—H64···O5vi | 1.00 | 1.81 | 2.749 | 156 |
| O59—H65···O58v | 1.00 | 1.66 | 2.588 | 151 |
| O59—H66···O6vii | 1.04 | 1.49 | 2.525 | 170 |
| C16—H45···O1viii | 1.10 | 2.47 | 3.349 | 136 |
| C19—H48···O1 | 1.09 | 2.06 | 2.791 | 121 |
| C24—H50···O1viii | 1.09 | 2.14 | 3.157 | 154 |
| C25—H51···N13ix | 1.10 | 2.22 | 3.120 | 137 |
| C28—H54···O4 | 1.09 | 2.28 | 3.263 | 150 |
| C31—H60···O58v | 1.10 | 2.37 | 3.446 | 165 |
| Symmetry codes: (i) x−1, y, z; (ii) −x, y+1/2, −z+3/2; (iii) −x, −y+1, −z+2; (iv) −x+1, y+1/2, −z+3/2; (v) −x+1, −y+1, −z+1; (vi) x, −y+1/2, z−1/2; (vii) −x+1, −y, −z+1; (viii) x, −y+3/2, z−1/2; (ix) −x, y−1/2, −z+3/2. |
Acknowledgements
Use of the Advanced Photon Source at Argonne National Laboratory was supported by the US Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02–06CH11357. We thank Saul Lapidus for his assistance in the data collection, and Andrew Rosenthal of Virtus Pharmaceuticals for supplying the sample.
References
Acharya, S. N. G., Venkatesan, K., Bhattacharya, S., Gopalan, R. S. & Kulkarni, G. U. (2000). Chem. Commun. pp. 1351–1352. Web of Science CSD CrossRef Google Scholar
Altomare, A., Cuocci, C., Giacovazzo, C., Moliterni, A., Rizzi, R., Corriero, N. & Falcicchio, A. (2013). J. Appl. Cryst. 46, 1231–1235. Web of Science CrossRef CAS IUCr Journals Google Scholar
Antao, S. M., Hassan, I., Wang, J., Lee, P. L. & Toby, B. H. (2008). Can. Mineral. 46, 1501–1509. Web of Science CrossRef ICSD CAS Google Scholar
Bravais, A. (1866). Etudes Cristallographiques. Paris: Gauthier Villars. Google Scholar
Bruno, I. J., Cole, J. C., Kessler, M., Luo, J., Motherwell, W. D. S., Purkis, L. H., Smith, B. R., Taylor, R., Cooper, R. I., Harris, S. E. & Orpen, A. G. (2004). J. Chem. Inf. Comput. Sci. 44, 2133–2144. Web of Science CrossRef PubMed CAS Google Scholar
Cotter, J., Hogan, A. L. & O'Shea, D. F. (2007). Org. Lett. 9, 1493–1496. Web of Science CSD CrossRef PubMed CAS Google Scholar
Das, D. (2019). ChemistrySelect 4, 1428–1436. Web of Science CSD CrossRef CAS Google Scholar
Dassault Systèmes. (2024). Materials Studio 2025. BIOVIA, San Diego, USA. Google Scholar
Donnay, J. D. H. & Harker, D. (1937). Am. Mineral. 22, 446–467. CAS Google Scholar
Erba, A., Desmarais, J. K., Casassa, S., Civalleri, B., Donà, L., Bush, I. J., Searle, B., Maschio, L., Edith-Daga, L., Cossard, A., Ribaldone, C., Ascrizzi, E., Marana, N. L., Flament, J.-P. & Kirtman, B. (2023). J. Chem. Theory Comput. 19, 6891–6932. Web of Science CrossRef CAS PubMed Google Scholar
Etter, M. C. (1990). Acc. Chem. Res. 23, 120–126. CrossRef CAS Web of Science Google Scholar
Favre-Nicolin, V. & Černý, R. (2002). J. Appl. Cryst. 35, 734–743. Web of Science CrossRef CAS IUCr Journals Google Scholar
Friedel, G. (1907). Bull. Soc. Française Minéral. 30, 326-455. Google Scholar
Gatti, C., Saunders, V. R. & Roetti, C. (1994). J. Chem. Phys. 101, 10686–10696. CrossRef CAS Web of Science Google Scholar
Groom, C. R., Bruno, I. J., Lightfoot, M. P. & Ward, S. C. (2016). Acta Cryst. B72, 171–179. Web of Science CrossRef IUCr Journals Google Scholar
Hong, Y., Yufit, D. S., Letzelter, N. & Steed, J. W. (2020). CrystEngComm 22, 2585–2592. Web of Science CSD CrossRef CAS Google Scholar
Kabekkodu, S., Dosen, A. & Blanton, T. N. (2024). Powder Diffr. 39, 47–59. Web of Science CrossRef CAS Google Scholar
Kaduk, J. A., Patel, N. V. & Golab, J. T. (2023). Powder Diffr. 38, 207–214. Web of Science CrossRef CAS Google Scholar
Kresse, G. & Furthmüller, J. (1996). Comput. Mater. Sci. 6, 15–50. CrossRef CAS Web of Science Google Scholar
Lee, P. L., Shu, D., Ramanathan, M., Preissner, C., Wang, J., Beno, M. A., Von Dreele, R. B., Ribaud, L., Kurtz, C., Antao, S. M., Jiao, X. & Toby, B. H. (2008). J. Synchrotron Rad. 15, 427–432. Web of Science CrossRef CAS IUCr Journals 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
Materials Design. (2024). MedeA 3.7.2. Materials Design Inc., San Diego, USA. Google Scholar
MDI. (2025). JADE Pro version 9.3. Materials Data, Livermore, USA. Google Scholar
Müller, R., Moser, R. & Egger, T. (2002). US Patent 6,441,168 B1. Google Scholar
Okamura, T., Furuya, R. & Onitsuka, K. (2015). Dalton Trans. 44, 7512–7523. Web of Science CSD CrossRef CAS PubMed Google Scholar
Peintinger, M. F., Oliveira, D. V. & Bredow, T. (2013). J. Comput. Chem. 34, 451–459. Web of Science CrossRef CAS PubMed Google Scholar
Putz, H. & Brandenburg, K. (2025). DIAMOND. Crystal Impact, Bonn, Germany. Google Scholar
Rammohan, A. & Kaduk, J. A. (2018). Acta Cryst. B74, 239–252. Web of Science CSD CrossRef IUCr Journals Google Scholar
Silk Scientific. (2013). UN-SCAN-IT 7.0. Silk Scientific Corporation, Oren UT. Google Scholar
Stephens, P. W. (1999). J. Appl. Cryst. 32, 281–289. Web of Science CrossRef CAS IUCr Journals Google Scholar
Streek, J. van de & Neumann, M. A. (2014). Acta Cryst. B70, 1020–1032. Web of Science CrossRef IUCr Journals Google Scholar
Sykes, R. A., McCabe, P., Allen, F. H., Battle, G. M., Bruno, I. J. & Wood, P. A. (2011). J. Appl. Cryst. 44, 882–886. Web of Science CrossRef CAS IUCr Journals Google Scholar
Toby, B. H. & Von Dreele, R. B. (2013). J. Appl. Cryst. 46, 544–549. Web of Science CrossRef CAS IUCr Journals Google Scholar
Wang, J., Toby, B. H., Lee, P. L., Ribaud, L., Antao, S. M., Kurtz, C., Ramanathan, M., Von Dreele, R. B. & Beno, M. A. (2008). Rev. Sci. Instrum. 79, 085105. Web of Science CrossRef PubMed Google Scholar
Wavefunction, Inc. (2025). Spartan '24. V. 1.3.1. Wavefunction Inc., Irvine, CA. Google Scholar
Wheatley, A. M. & Kaduk, J. A. (2019). Powder Diffr. 34, 35–43. Web of Science CrossRef CAS Google Scholar
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