research papers
Disordered sodium
from powder data: crystal structures of sodium ethoxide, propoxide, butoxide and pentoxide, and some of their solvatesaInstitut für Anorganische und Analytische Chemie, Goethe-Universität, Max-von-Laue-Strasse 7, 60438 Frankfurt am Main, Germany, and bDepartment Chemie, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, 55128 Mainz, Germany
*Correspondence e-mail: m.schmidt@chemie.uni-frankfurt.de
Dedicated to Ulrich Müller on the occasion of his 80th birthday.
The crystal structures of sodium ethoxide (sodium ethanolate, NaOEt), sodium n-propoxide (sodium n-propanolate, NaOnPr), sodium n-butoxide (sodium n-butanolate, NaOnBu) and sodium n-pentoxide (sodium n-amylate, NaOnAm) were determined from powder X-ray diffraction data. NaOEt crystallizes in P421m, with Z = 2, and the other crystallize in P4/nmm, with Z = 2. To resolve space-group ambiguities, a Bärnighausen tree was set up, and Rietveld refinements were performed with different models. In all structures, the Na and O atoms form a quadratic net, with the pointing outwards on both sides (anti-PbO type). The are disordered. The disorder becomes even more pronounced with increasing chain length. Recrystallization from the corresponding yielded four sodium alkoxide solvates: sodium ethoxide ethanol disolvate (NaOEt·2EtOH), sodium n-propoxide n-propanol disolvate (NaOnPr·2nPrOH), sodium isopropoxide isopropanol pentasolvate (NaOiPr·5iPrOH) and sodium tert-amylate tert-amyl alcohol monosolvate (NaOtAm·tAmOH, tAm = 2-methyl-2-butyl). Their crystal structures were determined by single-crystal X-ray diffraction. All these solvates form chain structures consisting of Na+, –O− and –OH groups, encased by The hydrogen-bond networks diverge widely among the solvate structures. The hydrogen-bond topology of the iPrOH network in NaOiPr·5iPrOH shows branched hydrogen bonds and differs considerably from the networks in pure crystalline iPrOH.
Keywords: sodium alkoxide; powder data; solvate; isopropanol; Bärnighausen tree; PXRD.
1. Introduction
1.1. General
Even today, there are simple chemical compounds for which the crystal structures are not known. The reasons for this deficiency in knowledge include synthetic difficulties, complex phase behaviour, instability in a vacuum and under an inert atmosphere, lack of single crystals, unusual or ambiguous space groups, and disorder. All these difficulties can be found in sodium R and their solvates NaOR·xROH, with R being a lower alkyl group. In principle, these compounds can be easily prepared by the reaction of sodium with the corresponding alcohol. However, in practice, the synthesis of the pure phases presents some obstacles. For example, when sodium is reacted with ethanol and the ethanol excess is removed in vacuo, a white powder remains. This powder turns into a liquid within a few minutes under argon. Further evaporation under vacuum results in a powder, which again liquefies under argon. Finally, a white residue is obtained, which consists of a mixture of two to four different phases, including sodium ethoxide (NaOEt) and its ethanol disolvate NaOEt·2EtOH (Beske et al., 2020). Phase-pure NaOEt is only obtained after a few hours of evaporation under vacuum at 50 °C. The initially formed solvate NaOEt·2EtOH decomposes under vacuum, and even under dry argon, and is stable only in the presence of ethanol vapour. Similar difficulties are observed for other sodium (see below). Additionally, all the compounds are very sensitive to moisture.
(sodium alcoholates) NaOIn industry, as well as in the laboratory, sodium tert-amylate (sodium 2-methyl-2-butoxide, NaOtAm) is used industrially on a multi-ton scale in the synthesis of diketopyrrolopyrrole pigments, which today are the most commonly used pigments for red car coatings (Hunger & Schmidt, 2018).
are widely used as bases and as reagents in organic synthesis. This is not only true for NaOEt, but also for other For example, sodium1.2. Historical notes on NaOEt
Sodium ethoxide was synthesized as early as 1837 by Liebig (Liebig, 1837; Beske et al., 2020). Since ethanol was considered the hydrate of ethyl ether (2EtOH ≙ Et2O·H2O), sodium ethoxide was regarded as an adduct of diethyl ether and sodium oxide, which actually corresponds to the correct stoichiometry: Et2O·Na2O ≙ 2NaOEt. Correspondingly, the name `Aethernatron' (Geuther, 1868a,b) was used besides the names `Natriumalkoholat' (Geuther, 1859) and `Natriumäthylat' (Wanklyn, 1869).
Many years later, the ). Surprisingly, the of NaOEt was not determined, although it is isostructural with NaOMe. It would have been an easy task to index the powder pattern of NaOEt manually, because NaOEt crystallizes in the tetragonal and the lattice parameters a and b of NaOEt are almost identical to those in NaOMe.
of sodium methoxide (NaOMe) was determined from powder X-ray diffraction (PXRD) data (Weiss, 1964In 1976, the PXRD patterns of NaOEt and NaOEt·2EtOH were published in an article devoted to the thermal stability of alkali ethoxides (Blanchard et al., 1976). Again, no attempt was made to index the powder data.
As much as 30 years later, the powder data of NaOEt and sodium n-propoxide (NaOnPr) were indexed, but the crystal structures remained indeterminate (Chandran et al., 2006). Finally, we determined the of NaOEt from powder data, and of NaOEt·2EtOH from single-crystal data a few months ago. The crystal structures were recently briefly described in a chemical journal (Beske et al., 2020), without any discussion on the ambiguity of the or of the crystal symmetry. Here, we report a full discussion of the ambiguities of the of NaOEt, including a Bärnighausen tree of the possible space groups and their subgroups.
1.3. Previous work on other alkoxides
The first determined ). NaOMe is isotypical to LiOMe (Wheatley, 1961) and crystallizes in a layer structure in the P4/nmm, with Z = 2.
of a sodium alkoxide was that of NaOMe (Weiss, 1964Potassium methoxide, KOMe, crystallizes in the same + ions in NaOEt are coordinated to four O atoms, the K+ ions in KOMe are coordinated to five O atoms in a square-pyramidal geometry (Weiss, 1963; Weiss & Alsdorf, 1970). The O atom is surrounded by five K+ ions and the methyl group has a distorted octahedral geometry. A similar structure was found for partially hydrolysed NaOMe with the composition Na(OMe)1–x(OH)x, with x ≈ 1/3 (Weiss, 1964).
type as NaOMe, but the structure is different: whereas the NaSodium tert-butoxide, NaOtBu, exists in two polymorphic forms. Both structures were determined by single-crystal X-ray diffraction. One of the phases consists of hexamers and crystallizes in the P212121, with Z = 20, with five hexamers per (Østreng et al., 2014). The other phase contains a 1:1 mixture of hexamers and nonamers in the R, with Z = 6, with 90 formula units per (Greiser & Weiss, 1977; Davies et al., 1982; Nekola et al., 2002). Accordingly, both phases have quite large unit cells.
1.4. Solvates
Sodium ). However, Liebig apparently did not recognize this precipitate as a solvate. In 1868, Scheitz determined the composition of this solvate as NaOEt·2EtOH (Geuther, 1868a). This result was confirmed by Marsh (Geuther, 1868b), whereas Wanklyn (1869) determined the composition to be NaOEt·3EtOH. In 1880, Frölich again found a composition of NaOEt·2EtOH using a different method (Geuther & Frölich, 1880). Lescoeur (1895) measured the vapour pressure during slow evaporation of a suspension of NaOEt in EtOH and observed that the vapour pressure did not change between compositions of NaOEt·1.7EtOH and nearly pure NaOEt, and thus concluded that the solvate had the composition NaOEt·2EtOH.
can form solvates with their corresponding Already in 1837 Liebig had prepared an ethanol solvate of NaOEt by the reaction of sodium with ethanol at 50 °C and subsequent cooling of the solution to room temperature, whereupon the mixture turned into a solid (Liebig, 1837The crystal morphology of NaOEt·2EtOH was described as `völlig durchsichtige farblose nadelförmige Krystalle' (fully transparent, colourless, needle-like crystals) (Geuther, 1868a).
Geuther & Frölich (1880) also described a solvate with a composition of NaOnPr·2nPrOH. A tAmOH solvate of NaOtAm was mentioned by Friedrich et al. (1999), but no composition as given.
The solvates are thermally remarkably stable. NaOEt·2EtOH must be heated at ambient pressure to 200 °C and NaOnPr·2nPrOH even to 220 °C before the pure solvent-free are obtained (Geuther & Frölich, 1880). Solvent-free NaOEt is also quite stable. According to the decomposition starts at 50 °C, but this decomposition is very slow and occurs over a large temperature range. Finally, at 310 °C the decomposition `adopts an explosive character' (`prendre un charactère explosif'; Blanchard et al., 1976).
Crystals of the solvates of NaOnPr, NaOiPr and NaOtAm do form easily when sodium is reacted with the corresponding and the solution is subsequently carefully evaporated. However, no structure of any sodium alkoxide solvate was determined between 1837 and 2019 (Beske et al., 2020). The reason might be the pronounced sensitivity of the crystals to moisture, air, vacuum and dry inert gas.
1.5. Work in this article
In this article, we describe the synthesis, nPr, NaOnBu and NaOnAm, and of the solvates NaOEt·2EtOH, NaOnPr·2nPrOH, NaOiPr·5iPrOH and NaOtAm·tAmOH. The structures of the solvent-free compounds were determined by PXRD and the structures of the solvates by single-crystal X-ray analyses. In the cases of NaOEt and NaOnPr, the space-group symmetry was ambiguous, and the corresponding symmetry relationships were elaborated using a Bärnighausen tree.
and disorder of NaOEt, NaO2. Experimental details
2.1. Syntheses
All synthetic procedures were performed under an argon atmosphere using Schlenk techniques. All
as well as toluene, were dried over sodium and freshly distilled.2.1.1. NaOEt
0.34 g (15 mmol) of sodium were added to 10 ml (170 mmol) of ethanol. The mixture was allowed to react for 30 min at room temperature. The obtained solution was heated to 50 °C and the excess ethanol was removed under vacuum. The resulting solid product was evaporated at 50 °C under vacuum for 3 h, gently crushed with a glass rod and again evaporated for one additional hour under the same conditions. A phase-pure white powder of NaOEt was obtained.
2.1.2. NaOnPr, NaOnBu and NaOnAm
NaOnPr, NaOnBu and NaOnAm were synthesized in a similar manner to NaOEt. Details are given in the supporting information.
2.1.3. NaOEt·2EtOH
0.34 g of sodium (15 mmol) were added to 5.0 ml (85 mmol) of ethanol. After reacting for 30 min, a gel was obtained. This gel was stored for three months at room temperature, resulting in a pale-brown solution and colourless needles of NaOEt·2EtOH with a size of up to 1 mm.
2.1.4. NaOnPr·2nPrOH, NaOiPr·5iPrOH and NaOtAm·tAmOH
Syntheses and crystal growth of these compounds resembled the procedure used for NaOEt·2EtOH. Details are given in the supporting information.
2.2. Pre-characterization
The stoichiometry of the solvent-free supporting information. For the solvates, this analysis could not be performed, because the solvates decomposed rapidly when removed from their alcoholic mother liquor.
was confirmed by decomposition experiments with HCl, which verified their stoichiometry. Details are reported in the2.3. Powder X-ray diffraction (PXRD)
For the PXRD studies, the samples were sealed in glass capillaries with a 1.0 mm diameter. The PXRD patterns were measured in transmission mode on a Stoe Stadi-P diffractometer equipped with a Ge(111) monochromator and a linear position-sensitive detector. The capillaries were spun during the measurements. All measurements were performed at room temperature, using Cu Kα1 radiation (λ = 1.5406 Å), with a 2θ range of 2–100° (2–80° for NaOEt).
2.4. from powder data
The crystal structures of the solvent-free nPr, NaOnBu and NaOnAm were determined from PXRD data. The powder data were indexed with the program DICVOL (Boultif & Louër, 1991) within the program package DASH (David et al., 2006). The structures were solved by the real-space method with simulated annealing using DASH. Subsequently, Rietveld refinements were performed using TOPAS (Coelho, 2018).
NaOEt, NaOFor all four compounds indexing led to a tetragonal Z = 2. The systematic extinction indicated P4/n, P4/nmm and P21m as possible space groups. The structures were successfully solved in P4/nmm and P21m, using two fragments, an Na atom and a rigid alkoxide moiety. The Na atom was placed on the special position, which allowed a distorted tetrahedral coordination [Wyckoff position 2a (, , 0) in P4/nmm origin choice 2; 2a (0, 0, 0) in P21m], as explained in §3.1. The alkoxide fragment was placed on a general position, with an occupancy of 0.125 (in P4/nmm) or 0.25 (in P21m). In the resulting structures, the C atoms moved close to a site with ..m symmetry, and were subsequently placed on this site, resulting in an occupancy of 0.25 (in P4/nmm) or 0.5 (in P21m). In the Rietveld refinements of NaOEt, restraints were only necessary for the H atoms. For NaOnPr, NaOnBu and NaOnAm, additional restraints were applied to the O—C and C—C bond lengths, and to the O—C—C and C—C—C bond angles. All H atoms were refined using restraints on the bond lengths and angles with quite high weights. Further details of the Rietveld refinements are given in the supporting information.
withNote that there are two different origin choices for P4/nmm. Origin choice 2 (origin on ) was used for the structure solution, due to the requirements of DASH. In contrast, the origin choice 1 (origin on , as in P21m) was used for the Bärnighausen tree.
2.5. Single-crystal X-ray diffraction
A single crystal of NaOEt·2EtOH was placed in a sealed glass capillary and data were collected at −38 (2) °C. Single crystals of NaOnPr·2nPrOH and NaOiPr·5iPrOH were mounted by freezing them in a drop of oil and their data collected under a cold nitrogen stream at −100 (2) °C using an Oxford Cryosystems cryostream device. Crystals of NaOtAm·tAmOH were sealed in a glass capillary under paraffin oil (dried with Na) and their data collected at room temperature.
Single-crystal data were collected on a Bruker SMART APEX three-circle diffractometer equipped with an Incoatec IμS Cu microfocus source with mirror optics and an APEX II CCD detector. The software package APEX3 (Bruker, 2015) was used for data collection and data reduction. The structures were solved by with SHELXT (Sheldrick, 2015a) and refined with SHELXL (Sheldrick, 2015b). All non-H atoms, except for disordered C atoms, were refined anisotropically. Disordered C atoms were refined isotropically. H atoms bonded to C atoms were treated with the riding model. In the case of NaOEt·2EtOH and NaOnPr·2nPrOH, all OH protons could be located by Fourier synthesis. In NaOiPr·5iPrOH, it was not possible to detect which of the four ligands coordinating to the Na+ ion is the iPrO− anion, and which are the three iPrOH molecules. (The H atom could not be located, all Na—O bonds were of a similar length, all C—O bonds were of similar length, and in addition no decision could be made based on the size of the angles; furthermore, there is a twofold axis through the Na+ ion, hence there are always pairs of symmetrically equivalent ligands.) All O atoms of NaOiPr·5iPrOH are part of a complex hydrogen-bond network, and obviously the H atoms are disordered within this network. Therefore, for each Na+ cation, H atoms with occupancies of 0.75 were placed at all four O atoms connected to the Na+ cation. For NaOtAm·tAmOH, the electron density indicates that the H atoms of the OH groups are located along hydrogen bonds. However, the limited data quality did not allow an unrestrained of the positions of these H atoms. According to the charge compensation, the H atoms should be disordered, too.
The single crystals of NaOiPr·5iPrOH are highly sensitive; they decompose within seconds except when they are kept in their mother liquor under an inert atmosphere. Therefore, only rather poor diffraction data could be obtained. Correspondingly, a large number of restraints had to be used in the The disordered C atoms were refined isotropically, with restraints on the C—C and C—O bond lengths. The ordered C atoms were refined anisotropically, but their anisotropic displacement parameters were restrained to be similar to those of neighbouring atoms.
3. Results and discussion
3.1. and disorder of sodium ethoxide (NaOEt)
Sodium ethoxide is difficult to obtain as a pure phase. The reaction of sodium with ethanol, with subsequent evaporation at room temperature under vacuum or evaporation at the boiling point at ambient pressure, results in a mixture of two to four phases, including NaOEt and NaOEt·2EtOH. Evaporation under vacuum at 50 °C for several hours leads to phase-pure NaOEt. Nevertheless, most of our recorded powder patterns were contaminated by traces of other phases.
The powder pattern of NaOEt could be indexed with a tetragonal a = b = 6.2, c = 9.1 Å and V = 352 Å3. According to Hofmann's volume increments (Hofmann, 2002), the unit-cell volume corresponds to Z = 4. The systematic pointed to the P4/nbm. Further experiments revealed that some of the weak peaks in the powder pattern were actually caused by foreign phases. The pattern of the phase-pure NaOEt could be indexed with a of half of the initial volume, with a = b = 4.41, c = 9.07 Å, α = β = γ = 90°, V = 176.4 Å3 and Z = 2.
withThe systematic Pn––, which corresponds to the P4/n or P4/nmm (Hahn, 2005). In P4/nmm, the structure could be solved without difficulty by the real-space method with simulated annealing using the program DASH (David et al., 2006). The contains two formula units. In P4/nmm there are three different Wyckoff positions with a multiplicity of two: positions 2a and 2b with m2, and 2c with 4mm. A tetrahedral coordination of the Na+ ion agrees with a m2 Correspondingly, the Na+ ion was set at position 2a. A rigid C2H5O fragment was placed on the general position (16k) with an occupancy of 0.125. The best solution was found in about 10 out of 25 runs and had a good profile-χ2 value of 7.26. The O atom was found very close to the 4mm site (Wyckoff position 2c), hence it could be set at this site. The ethyl group is disordered around the 4mm site. The two C atoms could be situated on the general position (16k), resulting in eightfold disorder, or on mirror planes parallel to (100) and (010) (Wyckoff position 8i, .m.), or on diagonal mirror planes (Wyckoff position 8j, ..m), each with fourfold disorder.
lead to theThe structure was refined by the Rietveld1 method (Loopstra & Rietveld, 1969) with TOPAS, with the C atoms on the general position (16k). During the the C atoms moved close to the diagonal mirror planes. Correspondingly, they were set to the sites 8j (..m). The refinements converged with good R values (Table 1) and smooth difference curves (Fig. 1a). The ethyl groups are fourfold disordered around the fourfold axes, see Fig. 2(a). A corresponding structure was also found for lithium methoxide (LiOMe) (Wheatley, 1961) and sodium methoxide (NaOMe) (Weiss, 1964).
|
A symmetry analysis revealed that in the P21m the ethyl groups would have a twofold disorder only. P21m is a translationengleiche of P4/nmm (Wondratschek & Müller, 2004; Aroyo, 2016) [see Fig. 2(b)]. These two space groups are difficult to distinguish from each other using the systematic in PXRD. P4/nmm requires the reflection condition hk0: h+k = 2n, whereas P21m requires only h00: h = 2n and 0k0: k = 2n (Hahn, 2005). However, in the 2θ range up to 60°, the powder pattern contains only one reflection, which is systematically absent in P4/nmm but can be present in P21m. This is the 210 reflection, which has an intensity of close to zero (see Fig. 1b). Hence, an examination of the systematic left the ambiguous.
As a test for the P4/nmm and P21m under identical conditions (identical treatment of background, profile parameters, anisotropic peak broadening, etc.). It is an interesting peculiarity that the number of structural parameters is identical in both space groups, which is a very rare case for an organic in a group–subgroup relationship. Hence, the resulting confidence values of both space groups can be compared directly. The difference in the R values is slightly in favour of P21m (see Table 1). The Rietveld plots are very similar, just the 111 reflection at 2θ = 30.28° is significantly better fitted in P21m (see Fig. 1).
Rietveld refinements were performed inIn both space groups, the structure is very similar, except for the disorder of the ethyl groups. In P4/nmm the ethyl group is disordered around a fourfold axis, which changes to a twofold axis in P21m [see Figs. 2(a) and 2(b)].
As a further test for the P21m with two sets of ethyl groups, one in the position x, x + , z (Wyckoff position 8j) according to the P21m structure, and the other on the position −x, x + , z, which is occupied in P4/nmm, but not in P21m (see Fig. 2). The occupancies of both sets were set at p and − p. For P21m, p would be and for P4/nmm, p is . The parameter p refined to 0.476 (6). This value and the similarity of the R values between this and the in P21m clearly indicate that, within the limitations of the powder data, the correct is P21m instead of P4/nmm.
a was performed in theA complete ordering of the ethyl groups would require further reduction of symmetry, e.g. to P or P21. The corresponding Bärnighausen tree (Bärnighausen, 1980; Chapuis, 1992; Müller, 2004, 2006, 2012) is shown in Fig. 3. Such a symmetry reduction would result in a deviation from tetragonal symmetry and/or in a larger (supercell). Both effects should be clearly visible in the powder pattern. However, the powder pattern of NaOEt gave no indication of either effect. Hence, the is likely to be P21m.
A transition into a translationengleiche subgoup of index 2 is frequently associated with Correspondingly, the NaOEt crystals may be twinned, i.e. in one domain the orientation of the ethyl groups is that shown in Fig. 2b and in the other domain the groups are rotated by 90°. However, such a cannot be observed by powder diffraction; hence, it remains unclear if the crystals are actually twinned.
The final Rietveld refinements were carried out in P21m. No restraints were applied to the Na, C and O atoms. Restraints were only necessary for the H-atom positions. The final Rietveld plot is shown in Fig. 4. Crystallographic data are included in Table 2.
The b) is similar to the structures of NaOMe and LiOMe (LiOMe type; Fig. 5a). The Na+ ions form a quadratic net in the (001) plane. The O atoms are situated in the centre of each mesh 0.734 (3) Å above or below the plane. The ethyl groups point away from the nets on both sides; hence, they form covering nonpolar layers on both sides of the ionic Na–O nets. Subsequent layers are stacked in the [001] direction. This structure can be regarded as an anti-PbO structure. In red PbO (litharge; Boher et al., 1985), the Pb2+ and O2− ions form the same net as the O and Na atoms in NaOEt, and the lone pairs of the Pb2+ ion in PbO resemble the positions of the ethyl groups in NaOEt (see Figs. 5b and 5c).
of NaOEt (Fig. 5LiOMe and NaOMe crystallize in the P4/nmm (Z = 2), with the methyl group on the fourfold axis, which causes no problems, because the shape of the methyl group is close to spherical. In contrast, in NaOEt, the crystal symmetry is reduced to P21m. Astonishingly, NaOnPr and the higher sodium again adopt the higher symmetry P4/nmm (Z = 2), with a fourfold disorder of the (see below). This raises the question, why does NaOEt not adopt P4/nmm symmetry? An `intuitive' explanation for the lower symmetry of NaOEt would be that an ethyl group has a `less cylindrical' shape than a methyl or propyl group and, hence, avoids being situated on a fourfold axis. The reduced disorder of the ethyl groups of NaOEt in P21m leads to a more efficient packing and a higher density. Actually, the density of NaOEt is 4% higher than the average density of NaOMe and NaOnPr, both of which crystallize in P4/nmm.
3.2. Crystal structures, and disorder of NaOnPr, NaOnBu and NaOnAm
Sodium n-propoxide (NaOnPr), sodium n-butoxide (NaOnBu) and sodium n-amylate (sodium n-pentoxide, NaOnAm) were synthesized from sodium and the corresponding Upon evaporation of the alcoholic solutions, the solvates precipitated initially (as a mixture with the solvent-free phases). Further evaporation led to the solvent-free forms. The compounds are very sensitive to water; hence, any trace of moisture, also from air, had to be avoided during synthesis, evaporation and PXRD measurements.
The powder diagrams could be easily indexed with tetragonal unit cells, with Z = 2. The structures were solved by the real-space method and refined by the Rietveld method.
The crystal structures are similar to that of NaOEt (anti-PbO type). In the case of NaOnPr, the is ambiguous. A in P21m with two sets of as performed for NaOEt, did not yield clear results. The occupancies refined to values of 0.38 (3) and 0.12 (3), which is exactly midway between 0.25 (for P4/nmm) and 0.5 (for P21m) (see Table 3). However, the with one set of gave significantly lower confidence values in P4/nmm than in P21m. For NaOnBu and NaOnAm, refinements in P4/nmm also provided a better fit than in P21m (Table 4). Correspondingly, the final refinements of all three compounds were performed in P4/nmm. The final Rietveld plots are shown in Fig. 6. Crystallographic data are included in Table 2. The crystal structures are shown in Fig. 7.
|
|
The lattice parameters and the nPr agree with the data determined by Chandran et al. (2006).
of NaOThe n-butyl and n-amyl groups are highly disordered, and the electron density is smeared out, especially for the terminal and the next-to-terminal C atoms. The description of these structures in P4/nmm with fourfold disordered on 8j is only an approximation of the actual electron density.
We tried to prepare phase-pure powders of solvent-free NaOiPr and NaOtAm, but the crystal structures could not be solved by PXRD yet. The samples probably contained mixtures of different phases.
3.3. Solvates
By crystallization from the corresponding nPr·2nPrOH, NaOiPr·5iPrOH and NaOtAm·tAmOH. All of these solvates are sensitive to moisture and air. In a vacuum and under argon (or nitrogen), they decompose into their solvate-free forms. The decomposition is comparably slow for NaOEt·2EtOH, but fast for NaOiPr·5iPrOH. Correspondingly, the solvates must be stored in their mother liquor or in the presence of vapours of the corresponding or kept at low temperature.
we obtained single crystals of four alcohol solvates of sodium NaOEt·2EtOH, NaOThe chemical compositions and crystal structures of these four solvates were determined by single-crystal X-ray diffraction. However, there were three obstacles: (i) the mounting of the crystals on the diffractometer was challenging due to their sensitivity to air, moisture, vacuum and dry iPr·5iPrOH; (iii) the crystal structures of NaOnPr·2nPrOH and NaOiPr·5iPrOH are highly disordered. In NaOnPr·2nPrOH, the disorder affects all of the propyl groups. In NaOiPr·5iPrOH, four of the ten iPrOH units are disordered over two widely separated positions each.
(ii) the crystal quality was limited, especially for NaOThe stability of the solvates of the sodium n-alkoxides decreases with increasing chain length. Correspondingly, crystal structures could be determined only for the solvates of NaOEt and NaOnPr, whereas the solvates of NaOnBu and NaOnAm are highly instable, poorly crystalline and decompose rapidly, even under cold dry nitrogen.
3.3.1. NaOEt·2EtOH and NaOnPr·2nPrOH
Sodium ethoxide and sodium n-propoxide crystallize as needles (see Fig. 8). The single-crystal X-ray analysis (Table 5) revealed the compounds to be disolvates with the composition NaOR·2ROH, as determined by Geuther (1868a,b) and Frölich (Geuther & Frölich, 1880). Both solvates are isostructural. The O atom of the alkoxide anion (RO−) bridges two Na+ ions, leading to helical Na—O—Na—O chains. The chains follow a crystallographic 21 screw axis. The Na+ ions are additionally coordinated to two alcohol molecules (ROH), resulting in a distorted tetrahedral coordination geometry for the Na+ ions. In NaOnPr·2nPrOH, all the propyl groups are disordered and most of the C atoms were refined with split positions, with occupancies between 0.40 and 0.60. The OH groups of the alcohol molecules form hydrogen bonds to neighbouring ROH molecules and RO− anions, which additionally stabilize the chains (see Fig. 9). The point outwards. Hence the chains are like tubes, with a polar/ionic inner region and a nonpolar outer region. In the crystal, all the tubes are arranged parallel and form a distorted hexagonal packing (see Fig. 10). However, the is different, i.e. P21/c for NaOEt·2EtOH and C2/c for NaOnPr·2nPrOH.
|
Between the `tubes' there are only van der Waals contacts between the a). In the case of NaOnPr·2nPrOH, the limited crystal quality and the disorder of the propyl groups prevent an interpretation of the displacement ellipsoids.
This structure explains the observed needle-like morphology of both compounds, with the needle axes parallel to the chain direction [010]. The weak interactions between the `tubes' allow them to librate around their long axis, which is manifested in the anisotropic displacement parameters of NaOEt·2EtOH (see Fig. 10The corresponding lithium methoxide solvate, LiOMe·2MeOH, is a disolvate, like NaOEt·2EtOH and NaOnPr·2nPrOH, but its structure is different. LiOMe·2MeOH consists of Li4(OMe)4(MeOH)6 tetramers, which are connected through hydrogen bonds via MeOH molecules to form a two-dimensional network. As in NaOEt, the interior layer of this network consists of metal ions and O atoms, whereas the point outwards. These layers are stacked through van der Waals contacts between the methyl groups only.
3.3.2. NaOiPr·5iPrOH
Sodium isopropoxide forms a solvate which contains as many as five molecules of isopropanol per NaOiPr unit. Hence, this structure can be regarded as an isopropanol in which one sixth of the protons of the OH groups are replaced by sodium ions. Correspondingly, the structure of NaOiPr·5iPrOH provides an insight into the structure of liquid isopropanol itself.
The solvate crystallizes in the C2/c, with Z = 8. There are two symmetrically independent Na+ ions, both on the twofold axis. Each Na+ ion coordinates to four O atoms of iPrO− and iPrOH moieties (Fig. 11a). The H atoms of the OH groups could not be located reliably, as they are probably dynamically disordered. Because of the charge compensation, it is expected that in any instance each Na+ cation is surrounded by one iPrO− ligand and three iPrOH molecules. These Na(iPrO)(iPrOH)3 units are connected by further iPrOH molecules to form a chain along the twofold axis parallel to [010] (see Figs. 11a and 11b). All isopropanol molecules which are not directly coordinated to sodium have an occupancy of 0.5. All isopropyl groups show disorder.
The geometry of the chain is close to 112/m symmetry (rod group No. 11; Kopský & Litvin, 2010).
There are four independent hydrogen-bond networks in each chain, each with an occupancy of 0.5 (see Fig. 11a). Two of these networks are shown in Fig. 11b.
The hydrogen-bond networks are considerably different from those in pure solid isopropanol. Pure isopropanol forms different hydrogen-bond networks, depending on the experimental conditions: the high-pressure polymorph exhibits eight-membered rings, whereas the low-temperature polymorph forms helical chains with local 31 or 32 symmetry (see Fig. 12) (Ridout & Probert, 2014). In contrast, the hydrogen-bond network of NaOiPr·5iPrOH contains branching between the alcohol molecules, i.e. alcohol molecules are connected by hydrogen bonds to three other alcohol molecules. There are two different topologies, marked as `Motif A' and `Motif B' in Fig. 11(b). Motif A is also present in LiOiPr·5iPrOH (Mehring et al., 2002). Motifs A and B can neither be found in other sodium alkoxide solvates nor in the crystal structures of pure isopropanol. In liquid isopropanol, one could expect to find a mixture of all three motifs, namely, rings, chains and branchings.
In NaOiPr·5iPrOH, the hydrogen-bonded chains are surrounded by the nonpolar isopropyl groups. Between the chains, there are only van der Waals contacts between the isopropyl groups (see Fig. 13). Similarly, in both polymorphs of pure iPrOH, the rings and chains have polar surfaces, and are connected to neighbouring rings or chains by van der Waals interactions (see Figs. S1 and S2 in the supporting information).
The chains of NaOiPr·5iPrOH are arranged in a distorted hexagonal packing. The packing seems to be similar to the chain packing in NaOnPr·2nPrOH. The is also the same (i.e. C2/c). However, the chains in NaOiPr·5iPrOH are situated on a twofold rotation axis, whereas the chains of NaOnPr·2nPrOH are placed on a 21 screw axis (see Figs. 10b and 13).
3.3.3. NaOtAm·tAmOH
The X-ray structure analysis revealed that sodium tert-amylate (sodium 2-methyl-2-butanolate, NaOtAm) forms a monosolvate with tert-amyl alcohol (2-methyl-2-butanol). In this structure, neighbouring Na+ ions are bridged by two ligands in the form of a square. The square shares corners with two other squares, leading to chains (see Fig. 14). Each square is centred by a crystallographic inversion centre. The squares are additionally connected by hydrogen bonds. The H atom engaged in this bond is probably disordered, so that in any instance each square contains one tAmO− anion and one tAmOH ligand, due to electrostatic considerations. The squares form an interplanar angle of 49.8° only, which is apparently caused by the hydrogen bonds. The tert-amyl groups point outwards, as in the other solvates.
The chain has approximately 2/b11 symmetry, which is a nonstandard setting of 2/c11 (rod group No. 7; Kopský & Litvin, 2010). In the crystal, only the inversion symmetry is maintained in the space-group symmetry P121/n1.
The arrangement of the chains (Fig. 15) is similar to that in NaOEt·2EtOH (Fig. 10a). The is also the same (P21/c, here in the P21/n setting). However, in NaOEt·2EtOH, the chains are aligned along the 21 axis, whereas in NaOtAm·tAmOH, the chains contain inversion centres.
4. Conclusion
In this study, we determined the crystal structures of a series of sodium R (R = Et, nPr, nBu and nAm) and of a series of solvates of the composition NaOR·xROH (R = Et, nPr, iPr and tAm; x = 1, 2 and 5). Surprisingly, the crystal structures were unknown. Only the structures of NaOMe, NaOtBu and NaOMe·2MeOH had been determined previously.
NaOThe solvates show a variety of compositions, from the monosolvate NaOtAm·tAmOH via the disolvates NaOR·2ROH (R = Et and nPr) to the pentasolvate NaOiPr·5iPrOH. The solvates were obtained from saturated solutions of the in the corresponding We did not systematically investigate a variation of compositions, temperature and vapour pressure. Presumably, other solvate phases with different compositions may also exist.
In all the solvated and solvate-free structures, the Na+ ion is coordinated in a distorted tetrahedral geometry to four O atoms. In the solvent-free compounds NaOR, the O atom has five neighbouring atoms: four Na+ ions and the alkyl group. Such a fivefold coordination is quite unusual for organic O atoms. The O atoms in organic compounds generally have a maximum of three or four neighbours, when counting counter-ions, H atoms and accepted hydrogen bonds. In most crystal structures of ROH, the O atoms have only three neighbours: one alkyl group, one H atom and one hydrogen bond as acceptor. The overcrowded coordination of the O atoms in sodium is the reason why they so readily form solvates. Already with one additional alcohol molecule, the of oxygen drops from 5 to 4, as can be seen in NaOtAm·tAmOH. Any additional alcohol molecule increases the number of threefold-coordinated O atoms. This stabilization is reflected in the thermal stability of the solvates: to obtain the solvent-free NaOEt·2EtOH must be heated at ambient pressure to about 200 °C and NaOnPr·nPrOH even to about 220 °C (Geuther & Frölich, 1880). In contrast to sodium the sodium alkanoates RCOO−·Na+ and sulfonates RSO3−·Na+ rarely form solvates with alcohol or RCOOH molecules. There, the higher number of O atoms provides a sufficient number of donor atoms for the coordination of the Na+ ion, even with higher coordination numbers of Na+, e.g. 6 in CH3COO−·Na+ (Dittrich et al., 2018) or 6–7 in CH3SO3−·Na+ (Wei & Hingerty, 1981).
Four different topologies are present in sodium R = Me, Et, nPr, nBu and nAm) form layers of Na+ and O− atoms, NaOtBu forms clusters (hexamers and nonamers), NaOMe·2MeOH forms tetramers, which are connected by hydrogen bonds into layers, and the other solvates form chains of differing composition. In all cases, polar and nonpolar regions are clearly separated: the interior of the layers, clusters and chains consist of Na+ and –O− ions and is held together by electrostatic forces, whereas the outer regions are composed of the nonpolar Neighbouring layers, clusters or chains are connected by van der Waals contacts only. As a result, the chain structures of all the solvates form needles. NaOtBu forms prisms or cubes. For the layer structures of NaOR, a plate-like morphology could be expected.
the with linear alkyl chains (The compound NaOiPr·5iPrOH differs from pure isobutanol only by the substitution of every sixth proton of an OH group with a sodium cation. The exhibits a complicated chain structure with branched hydrogen bonds between the isopropanol molecules. Such branchings are not present in the crystal structures of pure isopropanol, but give an interesting insight into the structural diversity of liquid isopropanol.
Supporting information
https://doi.org/10.1107/S205252062001584X/ne5003sup1.cif
contains datablocks global, NaOEt, NaOEt2EtOH, NaOnPr, NaOnBu, NaOnAm, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. DOI:Structure factors: contains datablock NaOEt. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOEtsup2.hkl
Structure factors: contains datablock NaOEt2EtOH. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOEt2EtOHsup3.hkl
Structure factors: contains datablock NaOnPr. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOnPrsup4.hkl
Structure factors: contains datablock NaOnBu. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOnBusup5.hkl
Structure factors: contains datablock NaOnAm. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOnAmsup6.hkl
Structure factors: contains datablock NaOiPr_5HOiPr. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOiPr_5HOiPrsup7.hkl
Structure factors: contains datablock NaOnPr_2HOnPr. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOnPr_2HOnPrsup8.hkl
Structure factors: contains datablock NaOtAm_HOtAm. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOtAm_HOtAmsup9.hkl
Supporting information file. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOEtsup10.cml
Supporting information file. DOI: https://doi.org/10.1107/S205252062001584X/ne5003NaOEt2EtOHsup11.cml
Supporting information file. DOI: https://doi.org/10.1107/S205252062001584X/ne5003sup12.pdf
Data collection: WINXPOW (Stoe & Cie, 2004) for NaOEt, NaOnPr, NaOnBu, NaOnAm; Bruker APEX3 v2016.1-0 for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Cell
TOPAS-Academic (Coelho, 2012) for NaOEt, NaOnPr, NaOnBu, NaOnAm; Bruker APEX3 v2016.1-0 for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Data reduction: DASH 3.1 (David et al., 2006) for NaOEt, NaOnPr, NaOnBu, NaOnAm; Bruker APEX3 v2016.1-0 for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Program(s) used to solve structure: DASH 3.1 (David et al., 2006) for NaOEt, NaOnPr, NaOnBu, NaOnAm; SHELXT 2014/5 (Sheldrick, 2014) for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Program(s) used to refine structure: TOPAS-Academic (Coelho, 2012) for NaOEt, NaOnPr, NaOnBu, NaOnAm; SHELXL2018/3 (Sheldrick, 2018) for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Molecular graphics: Mercury (Macrae et al., 2008) for NaOEt, NaOnPr, NaOnBu, NaOnAm; shelXle for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm. Software used to prepare material for publication: shelXle, Mercury, ORTEPIII for NaOEt2EtOH, NaOiPr_5HOiPr, NaOnPr_2HOnPr, NaOtAm_HOtAm.C2H5O−·Na+ | F(000) = 72.0 |
Mr = 68.05 | Dx = 1.281 Mg m−3 |
Tetragonal, P421m | Cu Kα1 radiation, λ = 1.54056 Å |
a = 4.41084 (4) Å | µ = 1.85 mm−1 |
c = 9.06779 (17) Å | T = 298 K |
V = 176.42 (1) Å3 | Particle morphology: powder |
Z = 2 | White |
STOE-Stadi-P diffractometer | Data collection mode: transmission |
Radiation source: sealed X-Ray tube, Incoatec Microfocus tube | Scan method: continuous |
Ge(111) monochromator | 2θmin = 2.000°, 2θmax = 79.991°, 2θstep = 0.010° |
Specimen mounting: 1.0 mm glass capillary |
Least-squares matrix: full with fixed elements per cycle | 40 parameters |
Rp = 2.332 | 8 restraints |
Rwp = 3.391 | 13 constraints |
Rexp = 2.143 | Only H-atom coordinates refined |
RBragg = 2.589 | Weighting scheme based on measured s.u.'s w = 1/σ[Yobs]2 |
7800 data points | (Δ/σ)max = 0.001 |
Excluded region(s): / | Background function: Chebyshev function with 20 terms |
Profile function: fundamental parameters | Preferred orientation correction: 6th order spherical harmonics |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0 | 0 | 0 | 0.04030 | |
O2 | 0 | 0.5 | −0.0810 (3) | 0.01895 | |
C3 | 0.049 (4) | 0.549 (4) | −0.2264 (11) | 0.04678 | 0.5 |
C4 | −0.142 (3) | 0.358 (3) | −0.328 (2) | 0.07988 | 0.5 |
H5 | 0.26 (2) | 0.51 (2) | −0.249 (5) | 0.05614 | 0.5 |
H6 | −0.357 (14) | 0.398 (13) | −0.309 (8) | 0.09585 | 0.5 |
H7 | −0.093 (9) | 0.407 (9) | −0.430 (6) | 0.09585 | 0.5 |
Na1—O2 | 2.3246 (9) | C3—H5 | 0.98 (9) |
O2—C3 | 1.353 (11) | C4—H6 | 0.98 (6) |
C3—C4 | 1.50 (3) | C4—H7 | 0.98 (6) |
O2—C3—C4 | 114 (2) | C3—C4—H6 | 110 (4) |
O2—C3—H5 | 109 (3) | C3—C4—H7 | 109 (4) |
C4—C3—H5 | 109 (4) | H6—C4—H7 | 110 (5) |
C2H5O−·Na+·2(C2H6O) | F(000) = 352 |
Mr = 160.18 | Dx = 1.028 Mg m−3 |
Monoclinic, P21/n | Cu Kα radiation, λ = 1.54178 Å |
a = 11.622 (6) Å | Cell parameters from 1441 reflections |
b = 5.1926 (9) Å | θ = 4.1–40.7° |
c = 17.682 (6) Å | µ = 1.01 mm−1 |
β = 104.08 (3)° | T = 238 K |
V = 1035.0 (7) Å3 | Fine needle, colourless |
Z = 4 | 0.8 × 0.08 × 0.02 mm |
Apex2 detector diffractometer | 488 reflections with I > 2σ(I) |
Radiation source: sealed X-ray tube, Incoatec microfocus tube | Rint = 0.317 |
ω and phi scans | θmax = 59.9°, θmin = 4.1° |
Absorption correction: multi-scan SADABS-2014/5 - Bruker AXS area detector scaling and absorption correction | h = −11→10 |
Tmin = 0.270, Tmax = 0.749 | k = −5→5 |
5735 measured reflections | l = −16→15 |
1124 independent reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.084 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.271 | H-atom parameters constrained |
S = 0.98 | w = 1/[σ2(Fo2) + (0.1281P)2] where P = (Fo2 + 2Fc2)/3 |
1124 reflections | (Δ/σ)max = 0.004 |
94 parameters | Δρmax = 0.16 e Å−3 |
0 restraints | Δρmin = −0.20 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | ||
Na1 | 0.3114 (2) | 0.7601 (4) | 0.69554 (14) | 0.0970 (13) | |
O1 | 0.3260 (5) | 0.6035 (8) | 0.8211 (3) | 0.0969 (17) | |
C2 | 0.4470 (15) | 0.569 (3) | 0.8675 (8) | 0.222 (7) | |
H2A | 0.486211 | 0.735596 | 0.867432 | 0.267* | |
H2B | 0.440639 | 0.539964 | 0.921118 | 0.267* | |
C3 | 0.5100 (17) | 0.424 (4) | 0.8568 (11) | 0.323 (13) | |
H3A | 0.485323 | 0.254574 | 0.869482 | 0.485* | |
H3B | 0.588418 | 0.461565 | 0.889199 | 0.485* | |
H3C | 0.512216 | 0.429176 | 0.802353 | 0.485* | |
O1E | 0.2865 (4) | 0.4120 (8) | 0.6207 (3) | 0.118 (2) | |
H1E | 0.243146 | 0.312728 | 0.638003 | 0.141* | |
C2E | 0.2524 (13) | 0.409 (2) | 0.5372 (7) | 0.223 (7) | |
H2EA | 0.280361 | 0.245548 | 0.520439 | 0.267* | |
H2EB | 0.165565 | 0.403863 | 0.521947 | 0.267* | |
C3E | 0.2845 (13) | 0.584 (2) | 0.4976 (6) | 0.248 (7) | |
H3EA | 0.250575 | 0.551884 | 0.442591 | 0.372* | |
H3EB | 0.370328 | 0.584661 | 0.507606 | 0.372* | |
H3EC | 0.257253 | 0.748962 | 0.511904 | 0.372* | |
O4E | 0.4419 (5) | 1.0602 (9) | 0.6740 (3) | 0.132 (2) | |
H4E | 0.389506 | 1.132190 | 0.640320 | 0.159* | |
C5E | 0.5537 (16) | 1.086 (3) | 0.6544 (12) | 0.270 (9) | |
H5EA | 0.537314 | 1.112836 | 0.597898 | 0.324* | |
H5EB | 0.590749 | 1.244627 | 0.679040 | 0.324* | |
C6E | 0.6266 (14) | 0.918 (4) | 0.6706 (13) | 0.306 (11) | |
H6EA | 0.698621 | 0.970570 | 0.656537 | 0.459* | |
H6EB | 0.595977 | 0.762363 | 0.642276 | 0.459* | |
H6EC | 0.643788 | 0.883885 | 0.726225 | 0.459* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Na1 | 0.136 (3) | 0.0694 (18) | 0.090 (2) | −0.0061 (15) | 0.0355 (18) | −0.0011 (13) |
O1 | 0.103 (4) | 0.097 (3) | 0.086 (4) | 0.007 (3) | 0.012 (3) | 0.005 (3) |
C2 | 0.198 (16) | 0.277 (17) | 0.144 (10) | 0.094 (12) | −0.051 (11) | −0.025 (11) |
C3 | 0.228 (19) | 0.42 (3) | 0.27 (2) | 0.145 (18) | −0.043 (14) | −0.099 (19) |
O1E | 0.200 (5) | 0.077 (3) | 0.083 (4) | −0.020 (3) | 0.048 (3) | −0.003 (2) |
C2E | 0.44 (2) | 0.137 (9) | 0.081 (9) | −0.053 (11) | 0.050 (10) | −0.002 (6) |
C3E | 0.404 (19) | 0.195 (12) | 0.148 (11) | −0.059 (13) | 0.072 (11) | 0.061 (9) |
O4E | 0.120 (5) | 0.106 (4) | 0.180 (5) | −0.007 (3) | 0.054 (4) | 0.004 (3) |
C5E | 0.191 (17) | 0.208 (17) | 0.46 (3) | 0.009 (12) | 0.181 (17) | 0.058 (16) |
C6E | 0.207 (18) | 0.259 (19) | 0.50 (3) | 0.059 (14) | 0.187 (19) | 0.08 (2) |
Na1—O1E | 2.217 (5) | C2E—C3E | 1.256 (13) |
Na1—O4E | 2.270 (6) | C2E—H2EA | 0.9800 |
Na1—O1 | 2.331 (5) | C2E—H2EB | 0.9800 |
Na1—O1i | 2.364 (5) | C3E—H3EA | 0.9700 |
Na1—Na1i | 3.718 (4) | C3E—H3EB | 0.9700 |
Na1—Na1ii | 3.718 (4) | C3E—H3EC | 0.9700 |
O1—C2 | 1.457 (14) | O4E—C5E | 1.432 (14) |
C2—C3 | 1.096 (15) | O4E—H4E | 0.8300 |
C2—H2A | 0.9800 | C5E—C6E | 1.203 (15) |
C2—H2B | 0.9800 | C5E—H5EA | 0.9800 |
C3—H3A | 0.9700 | C5E—H5EB | 0.9800 |
C3—H3B | 0.9700 | C6E—H6EA | 0.9700 |
C3—H3C | 0.9700 | C6E—H6EB | 0.9700 |
O1E—C2E | 1.432 (10) | C6E—H6EC | 0.9700 |
O1E—H1E | 0.8300 | ||
O1E—Na1—O4E | 117.1 (2) | C2E—O1E—Na1 | 126.0 (5) |
O1E—Na1—O1 | 104.65 (18) | C2E—O1E—H1E | 109.5 |
O4E—Na1—O1 | 120.1 (2) | Na1—O1E—H1E | 106.8 |
O1E—Na1—O1i | 123.7 (2) | C3E—C2E—O1E | 121.5 (11) |
O4E—Na1—O1i | 85.41 (19) | C3E—C2E—H2EA | 107.0 |
O1—Na1—O1i | 105.78 (15) | O1E—C2E—H2EA | 107.0 |
O1E—Na1—Na1i | 150.18 (19) | C3E—C2E—H2EB | 107.0 |
O4E—Na1—Na1i | 87.91 (14) | O1E—C2E—H2EB | 107.0 |
O1—Na1—Na1i | 72.46 (14) | H2EA—C2E—H2EB | 106.7 |
O1i—Na1—Na1i | 37.32 (12) | C2E—C3E—H3EA | 109.5 |
O1E—Na1—Na1ii | 74.29 (13) | C2E—C3E—H3EB | 109.5 |
O4E—Na1—Na1ii | 157.29 (19) | H3EA—C3E—H3EB | 109.5 |
O1—Na1—Na1ii | 37.95 (13) | C2E—C3E—H3EC | 109.5 |
O1i—Na1—Na1ii | 104.95 (15) | H3EA—C3E—H3EC | 109.5 |
Na1i—Na1—Na1ii | 88.57 (11) | H3EB—C3E—H3EC | 109.5 |
C2—O1—Na1 | 114.6 (7) | C5E—O4E—Na1 | 142.0 (8) |
C2—O1—Na1ii | 120.4 (8) | C5E—O4E—H4E | 109.5 |
Na1—O1—Na1ii | 104.7 (2) | Na1—O4E—H4E | 91.5 |
C3—C2—O1 | 125.6 (19) | C6E—C5E—O4E | 120.1 (16) |
C3—C2—H2A | 105.9 | C6E—C5E—H5EA | 107.3 |
O1—C2—H2A | 105.9 | O4E—C5E—H5EA | 107.3 |
C3—C2—H2B | 105.9 | C6E—C5E—H5EB | 107.3 |
O1—C2—H2B | 105.9 | O4E—C5E—H5EB | 107.3 |
H2A—C2—H2B | 106.2 | H5EA—C5E—H5EB | 106.9 |
C2—C3—H3A | 109.5 | C5E—C6E—H6EA | 109.5 |
C2—C3—H3B | 109.5 | C5E—C6E—H6EB | 109.5 |
H3A—C3—H3B | 109.5 | H6EA—C6E—H6EB | 109.5 |
C2—C3—H3C | 109.5 | C5E—C6E—H6EC | 109.5 |
H3A—C3—H3C | 109.5 | H6EA—C6E—H6EC | 109.5 |
H3B—C3—H3C | 109.5 | H6EB—C6E—H6EC | 109.5 |
Symmetry codes: (i) −x+1/2, y+1/2, −z+3/2; (ii) −x+1/2, y−1/2, −z+3/2. |
C3H7O−·Na+ | F(000) = 88.0 |
Mr = 82.08 | Dx = 1.168 Mg m−3 |
Tetragonal, P4/nmm:2 | Cu Kα1 radiation, λ = 1.54056 Å |
a = 4.38439 (5) Å | µ = 1.47 mm−1 |
c = 12.1431 (3) Å | T = 298 K |
V = 233.43 (1) Å3 | Particle morphology: powder |
Z = 2 | White |
STOE-Stadi-P diffractometer | Data collection mode: transmission |
Radiation source: sealed X-ray tube | Scan method: step |
Ge(111) monochromator | 2θmin = 2.000°, 2θmax = 99.992°, 2θstep = 0.010° |
Specimen mounting: 1.0 mm glass capillary |
Least-squares matrix: full with fixed elements per cycle | 56 parameters |
Rp = 3.727 | 11 restraints |
Rwp = 4.793 | 7 constraints |
Rexp = 2.954 | Only H-atom coordinates refined |
RBragg = 1.647 | Weighting scheme based on measured s.u.'s w = 1/σ[Yobs]2 |
9800 data points | (Δ/σ)max = 0.0001 |
Excluded region(s): / | Background function: Chebyshev function with 20 terms |
Profile function: fundamental parameters | Preferred orientation correction: none |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0.75 | 0.25 | 0 | 0.02969 | |
O1 | 0.25 | 0.25 | 0.0728 (4) | 0.02969 | |
C1 | 0.206 (9) | 0.206 (9) | 0.1786 (18) | 0.13921 | 0.25 |
H1 | 0.3 (11) | 0.00 (6) | 0.197 (10) | 0.16705 | 0.25 |
C2 | 0.416 (9) | 0.416 (9) | 0.247 (3) | 0.13921 | 0.25 |
H2 | 0.63 (4) | 0.37 (3) | 0.229 (14) | 0.16705 | 0.25 |
C3 | 0.357 (7) | 0.357 (7) | 0.374 (5) | 0.13921 | 0.25 |
H3A | 0.49 (3) | 0.49 (3) | 0.419 (19) | 0.16705 | 0.25 |
H3B | 0.40 (5) | 0.14 (6) | 0.39 (2) | 0.16705 | 0.25 |
C4H9O−·Na+ | F(000) = 104.0 |
Mr = 96.10 | Dx = 1.159 Mg m−3 |
Tetragonal, P4/nmm:2 | Cu Kα1 radiation, λ = 1.54056 Å |
a = 4.43232 (9) Å | µ = 1.31 mm−1 |
c = 14.0143 (8) Å | T = 298 K |
V = 275.32 (2) Å3 | Particle morphology: powder |
Z = 2 | White |
STOE-Stadi-P diffractometer | Data collection mode: transmission |
Radiation source: sealed X-ray tube | Scan method: step |
Ge(111) monochromator | 2θmin = 2.000°, 2θmax = 99.992°, 2θstep = 0.010° |
Specimen mounting: 1.0 mm glass capillary |
Least-squares matrix: full with fixed elements per cycle | 61 parameters |
Rp = 3.467 | 21 restraints |
Rwp = 4.712 | 9 constraints |
Rexp = 2.402 | Only H-atom coordinates refined |
RBragg = 2.340 | Weighting scheme based on measured s.u.'s w = 1/σ[Yobs]2 |
9800 data points | (Δ/σ)max = 0.0001 |
Excluded region(s): / | Background function: Chebyshev function with 20 terms |
Profile function: fundamental parameters | Preferred orientation correction: none |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0.75 | 0.25 | 0 | 0.01136 | |
O1 | 0.25 | 0.25 | 0.0541 (7) | 0.01136 | |
C1 | 0.197 (10) | 0.197 (10) | 0.126 (2) | 0.11176 | 0.25 |
H1 | 0.02 (5) | 0.07 (5) | 0.126 (12) | 0.13411 | 0.25 |
C2 | 0.27 (4) | 0.27 (4) | 0.217 (4) | 0.11176 | 0.25 |
H2 | 0.49 (3) | 0.3 (2) | 0.225 (13) | 0.13411 | 0.25 |
C3 | 0.125 (7) | 0.125 (7) | 0.300 (4) | 0.11176 | 0.25 |
H3 | −0.01 (8) | −0.05 (9) | 0.277 (13) | 0.13411 | 0.25 |
C4 | 0.126 (11) | 0.126 (11) | 0.393 (5) | 0.11176 | 0.25 |
H4A | −0.02 (3) | −0.02 (3) | 0.42 (3) | 0.13411 | 0.25 |
H4B | 0.07 (4) | 0.34 (6) | 0.42 (2) | 0.13411 | 0.25 |
C5H11O−·Na+ | F(000) = 120.0 |
Mr = 110.12 | Dx = 1.111 Mg m−3 |
Tetragonal, P4/nmm:2 | Cu Kα1 radiation, λ = 1.54056 Å |
a = 4.4084 (2) Å | µ = 1.15 mm−1 |
c = 16.9376 (12) Å | T = 298 K |
V = 329.16 (4) Å3 | Particle morphology: powder |
Z = 2 | White |
STOE-Stadi-P diffractometer | Data collection mode: transmission |
Radiation source: sealed X-Ray tube | Scan method: step |
Ge(111) monochromator | 2θmin = 2.000°, 2θmax = 99.992°, 2θstep = 0.010° |
Specimen mounting: 1.0 mm glass capillary |
Least-squares matrix: full with fixed elements per cycle | 72 parameters |
Rp = 3.761 | 26 restraints |
Rwp = 5.355 | 4 constraints |
Rexp = 2.731 | Only H-atom coordinates refined |
RBragg = 1.608 | Weighting scheme based on measured s.u.'s w = 1/σ[Yobs]2 |
9800 data points | (Δ/σ)max = 0.001 |
Excluded region(s): / | Background function: Chebyshev function with 25 terms |
Profile function: fundamental parameters | Preferred orientation correction: none |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0.75 | 0.25 | 0 | 0.02630 | |
O1 | 0.25 | 0.25 | 0.0463 (5) | 0.02630 | |
C1 | 0.171 (5) | 0.171 (5) | 0.1088 (18) | 0.09206 | 0.25 |
H1 | −0.051 (17) | 0.17 (2) | 0.111 (5) | 0.11047 | 0.25 |
C2 | 0.299 (7) | 0.299 (7) | 0.183 (2) | 0.09206 | 0.25 |
H2 | 0.52 (2) | 0.3 (3) | 0.185 (6) | 0.11047 | 0.25 |
C3 | 0.120 (6) | 0.120 (6) | 0.258 (3) | 0.09206 | 0.25 |
H3 | 0.15 (3) | −0.10 (4) | 0.254 (8) | 0.11047 | 0.25 |
C4 | 0.2 (6) | 0.2 (6) | 0.34 (3) | 0.52287 | 0.25 |
H4 | 0.2 (6) | 0.4 (12) | 0.34 (13) | 0.62745 | 0.25 |
C5 | 0.08 (14) | 0.08 (14) | 0.39 (4) | 0.52287 | 0.25 |
H5A | 0.14 (17) | 0.14 (17) | 0.44 (4) | 0.62745 | 0.25 |
H5B | 0.1 (3) | −0.1 (8) | 0.38 (13) | 0.62745 | 0.25 |
C3H7O−·Na+·(C3H8O)5 | F(000) = 1712 |
Mr = 382.55 | Dx = 0.945 Mg m−3 |
Monoclinic, C2/c | Cu Kα radiation, λ = 1.54178 Å |
a = 21.2073 (18) Å | Cell parameters from 421 reflections |
b = 17.1307 (13) Å | θ = 4.1–79.3° |
c = 17.825 (2) Å | µ = 0.69 mm−1 |
β = 123.871 (5)° | T = 173 K |
V = 5376.9 (10) Å3 | Flat needle, colourless |
Z = 8 | 0.40 × 0.20 × 0.20 mm |
Apex2 detector diffractometer | 987 reflections with I > 2σ(I) |
Radiation source: sealed X-ray tube, Incoatec microfocus tube | Rint = 0.072 |
ω and phi scans | θmax = 40.2°, θmin = 3.6° |
Absorption correction: multi-scan SADABS-2014/5 - Bruker AXS area detector scaling and absorption correction | h = −17→17 |
k = −13→14 | |
8529 measured reflections | l = −14→14 |
1496 independent reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.122 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.367 | H-atom parameters constrained |
S = 1.16 | w = 1/[σ2(Fo2) + (0.1687P)2 + 24.1334P] where P = (Fo2 + 2Fc2)/3 |
1496 reflections | (Δ/σ)max < 0.001 |
239 parameters | Δρmax = 0.22 e Å−3 |
84 restraints | Δρmin = −0.17 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0.500000 | 0.9271 (4) | 0.750000 | 0.145 (3) | |
O1 | 0.5653 (5) | 1.0139 (5) | 0.7255 (7) | 0.156 (4) | |
H1 | 0.570648 | 1.057286 | 0.750277 | 0.187* | 0.75 |
C11 | 0.6079 (13) | 1.0141 (15) | 0.681 (2) | 0.251 (11) | |
H11 | 0.584922 | 1.049097 | 0.626619 | 0.301* | |
C12 | 0.6070 (14) | 0.9334 (17) | 0.659 (2) | 0.417 (19) | |
H12A | 0.554603 | 0.917039 | 0.614753 | 0.626* | |
H12B | 0.637695 | 0.925794 | 0.634462 | 0.626* | |
H12C | 0.628024 | 0.902060 | 0.714355 | 0.626* | |
C13 | 0.6775 (16) | 1.0266 (18) | 0.738 (2) | 0.348 (17) | |
H13A | 0.684955 | 1.081249 | 0.757144 | 0.522* | |
H13B | 0.696092 | 0.992361 | 0.789865 | 0.522* | |
H13C | 0.705762 | 1.016095 | 0.709972 | 0.522* | |
O2 | 0.4358 (6) | 0.8287 (5) | 0.6499 (7) | 0.212 (6) | |
H2 | 0.441564 | 0.787318 | 0.678379 | 0.255* | 0.75 |
C21 | 0.3698 (16) | 0.8230 (12) | 0.5620 (15) | 0.265 (13) | |
H21 | 0.329944 | 0.804921 | 0.571626 | 0.318* | |
C22 | 0.3678 (17) | 0.7748 (15) | 0.5106 (18) | 0.348 (17) | |
H22A | 0.385498 | 0.724299 | 0.541423 | 0.522* | |
H22B | 0.315630 | 0.769528 | 0.457580 | 0.522* | |
H22C | 0.400854 | 0.791642 | 0.491260 | 0.522* | |
C23 | 0.3455 (12) | 0.8980 (13) | 0.5247 (12) | 0.345 (17) | |
H23A | 0.348755 | 0.933202 | 0.570109 | 0.518* | |
H23B | 0.378078 | 0.917629 | 0.505902 | 0.518* | |
H23C | 0.292854 | 0.895515 | 0.472223 | 0.518* | |
Na2 | 0.500000 | 0.3844 (4) | 0.750000 | 0.132 (3) | |
O3 | 0.4194 (6) | 0.2973 (6) | 0.7469 (7) | 0.156 (4) | |
H3 | 0.451517 | 0.262947 | 0.779225 | 0.187* | 0.75 |
C31 | 0.3626 (15) | 0.2997 (16) | 0.765 (2) | 0.274 (12) | |
H31 | 0.376550 | 0.269124 | 0.819900 | 0.328* | |
C32 | 0.2984 (15) | 0.279 (2) | 0.695 (2) | 0.376 (19) | |
H32A | 0.259640 | 0.281443 | 0.708861 | 0.564* | |
H32B | 0.284352 | 0.315156 | 0.645156 | 0.564* | |
H32C | 0.301876 | 0.226128 | 0.677759 | 0.564* | |
C33 | 0.3530 (16) | 0.3801 (19) | 0.774 (3) | 0.45 (2) | |
H33A | 0.399981 | 0.401251 | 0.826251 | 0.679* | |
H33B | 0.341027 | 0.407734 | 0.719117 | 0.679* | |
H33C | 0.311343 | 0.387124 | 0.781945 | 0.679* | |
O4 | 0.5496 (7) | 0.4826 (5) | 0.8522 (6) | 0.203 (5) | |
H4 | 0.516729 | 0.518079 | 0.832466 | 0.243* | 0.75 |
C41 | 0.5968 (16) | 0.4890 (12) | 0.9425 (14) | 0.280 (12) | |
H41 | 0.554591 | 0.496811 | 0.951207 | 0.336* | |
C42 | 0.6174 (13) | 0.4130 (12) | 0.9864 (10) | 0.291 (12) | |
H42A | 0.584685 | 0.372836 | 0.942626 | 0.436* | |
H42B | 0.670546 | 0.401661 | 1.009512 | 0.436* | |
H42C | 0.610801 | 0.413360 | 1.036610 | 0.436* | |
C43 | 0.6299 (16) | 0.5453 (14) | 0.9842 (15) | 0.343 (17) | |
H43A | 0.660149 | 0.532905 | 1.048827 | 0.514* | |
H43B | 0.663544 | 0.563073 | 0.966176 | 0.514* | |
H43C | 0.593436 | 0.586619 | 0.972148 | 0.514* | |
O5 | 0.4692 (8) | 0.7040 (8) | 0.7673 (9) | 0.109 (5) | 0.5 |
H9 | 0.497661 | 0.738003 | 0.805242 | 0.131* | 0.5 |
C51 | 0.4239 (18) | 0.672 (2) | 0.792 (3) | 0.156 (14)* | 0.5 |
H51 | 0.451956 | 0.636211 | 0.845304 | 0.187* | 0.5 |
C52 | 0.358 (2) | 0.634 (2) | 0.710 (2) | 0.187 (15)* | 0.5 |
H52A | 0.324430 | 0.610624 | 0.725856 | 0.281* | 0.5 |
H52B | 0.329683 | 0.673138 | 0.662826 | 0.281* | 0.5 |
H52C | 0.376490 | 0.593241 | 0.688707 | 0.281* | 0.5 |
C53 | 0.379 (2) | 0.733 (2) | 0.803 (3) | 0.26 (2)* | 0.5 |
H53A | 0.347870 | 0.708271 | 0.820872 | 0.389* | 0.5 |
H53B | 0.414221 | 0.770203 | 0.849971 | 0.389* | 0.5 |
H53C | 0.346684 | 0.760726 | 0.745806 | 0.389* | 0.5 |
O5A | 0.4597 (8) | 0.6087 (9) | 0.7495 (9) | 0.107 (5) | 0.5 |
H5 | 0.443490 | 0.566192 | 0.721636 | 0.129* | 0.5 |
C51A | 0.405 (2) | 0.642 (2) | 0.759 (3) | 0.142 (12)* | 0.5 |
H51A | 0.375436 | 0.679489 | 0.708292 | 0.170* | 0.5 |
C52A | 0.3513 (18) | 0.5797 (18) | 0.747 (2) | 0.190 (13)* | 0.5 |
H52D | 0.312169 | 0.602033 | 0.753904 | 0.285* | 0.5 |
H52E | 0.327256 | 0.556931 | 0.686712 | 0.285* | 0.5 |
H52F | 0.378997 | 0.538971 | 0.792782 | 0.285* | 0.5 |
C53A | 0.433 (2) | 0.688 (2) | 0.848 (2) | 0.197 (15)* | 0.5 |
H53D | 0.389157 | 0.708246 | 0.846931 | 0.295* | 0.5 |
H53E | 0.462309 | 0.653039 | 0.900303 | 0.295* | 0.5 |
H53F | 0.465224 | 0.731518 | 0.853620 | 0.295* | 0.5 |
O6 | 0.4303 (7) | 0.1522 (7) | 0.6982 (9) | 0.087 (4) | 0.5 |
H6 | 0.404783 | 0.188981 | 0.699527 | 0.104* | 0.5 |
C61 | 0.4059 (16) | 0.137 (2) | 0.6084 (17) | 0.114 (9)* | 0.5 |
H61 | 0.424994 | 0.084827 | 0.605584 | 0.136* | 0.5 |
C62 | 0.3227 (16) | 0.136 (2) | 0.550 (2) | 0.184 (13)* | 0.5 |
H62A | 0.306013 | 0.126007 | 0.487876 | 0.275* | 0.5 |
H62B | 0.303477 | 0.095287 | 0.570944 | 0.275* | 0.5 |
H62C | 0.302972 | 0.187045 | 0.553758 | 0.275* | 0.5 |
C63 | 0.4379 (18) | 0.1982 (19) | 0.576 (3) | 0.155 (14)* | 0.5 |
H63A | 0.420297 | 0.186982 | 0.513010 | 0.232* | 0.5 |
H63B | 0.420526 | 0.250240 | 0.579225 | 0.232* | 0.5 |
H63C | 0.493531 | 0.196450 | 0.613951 | 0.232* | 0.5 |
O6A | 0.5082 (9) | 0.1609 (8) | 0.6877 (11) | 0.120 (5) | 0.5 |
H6A | 0.525557 | 0.115604 | 0.693510 | 0.145* | 0.5 |
C61A | 0.4375 (19) | 0.167 (3) | 0.603 (2) | 0.154 (14)* | 0.5 |
H61A | 0.413805 | 0.216413 | 0.606560 | 0.184* | 0.5 |
C62A | 0.378 (3) | 0.105 (2) | 0.573 (3) | 0.23 (2)* | 0.5 |
H62D | 0.332641 | 0.117963 | 0.513137 | 0.341* | 0.5 |
H62E | 0.397897 | 0.054326 | 0.569238 | 0.341* | 0.5 |
H62F | 0.363396 | 0.100805 | 0.616386 | 0.341* | 0.5 |
C63A | 0.452 (2) | 0.182 (2) | 0.532 (2) | 0.196 (16)* | 0.5 |
H63D | 0.403552 | 0.186679 | 0.473416 | 0.295* | 0.5 |
H63E | 0.480793 | 0.230738 | 0.545740 | 0.295* | 0.5 |
H63F | 0.481342 | 0.138724 | 0.530599 | 0.295* | 0.5 |
U11 | U22 | U33 | U12 | U13 | U23 | |
Na1 | 0.127 (6) | 0.079 (5) | 0.149 (6) | 0.000 | 0.027 (5) | 0.000 |
O1 | 0.166 (8) | 0.113 (7) | 0.225 (10) | 0.013 (6) | 0.132 (8) | −0.023 (6) |
C11 | 0.172 (18) | 0.210 (19) | 0.33 (3) | 0.043 (18) | 0.112 (18) | −0.090 (18) |
C12 | 0.30 (3) | 0.38 (3) | 0.66 (5) | −0.11 (2) | 0.31 (3) | −0.34 (3) |
C13 | 0.28 (3) | 0.43 (4) | 0.35 (4) | 0.02 (3) | 0.18 (3) | −0.14 (3) |
O2 | 0.214 (10) | 0.103 (8) | 0.127 (8) | −0.003 (7) | −0.024 (8) | 0.009 (6) |
C21 | 0.30 (2) | 0.110 (16) | 0.136 (17) | 0.022 (18) | −0.028 (18) | 0.002 (14) |
C22 | 0.33 (3) | 0.26 (3) | 0.25 (3) | 0.03 (3) | 0.04 (2) | −0.06 (2) |
C23 | 0.33 (3) | 0.21 (2) | 0.158 (18) | 0.06 (2) | −0.075 (17) | 0.020 (16) |
Na2 | 0.175 (7) | 0.088 (5) | 0.116 (5) | 0.000 | 0.071 (5) | 0.000 |
O3 | 0.143 (8) | 0.142 (8) | 0.240 (10) | 0.038 (7) | 0.142 (8) | 0.019 (7) |
C31 | 0.17 (2) | 0.21 (2) | 0.36 (3) | 0.10 (2) | 0.098 (19) | −0.018 (19) |
C32 | 0.20 (3) | 0.47 (5) | 0.44 (4) | 0.07 (3) | 0.17 (3) | −0.06 (4) |
C33 | 0.26 (3) | 0.41 (4) | 0.72 (5) | 0.04 (3) | 0.30 (3) | −0.21 (4) |
O4 | 0.342 (14) | 0.099 (7) | 0.077 (6) | 0.005 (8) | 0.062 (8) | −0.001 (6) |
C41 | 0.46 (3) | 0.113 (16) | 0.092 (15) | −0.043 (18) | 0.042 (17) | 0.001 (13) |
C42 | 0.44 (3) | 0.19 (2) | 0.108 (13) | −0.01 (2) | 0.066 (16) | 0.025 (13) |
C43 | 0.44 (4) | 0.22 (3) | 0.15 (2) | −0.08 (2) | 0.03 (2) | −0.027 (18) |
O5 | 0.140 (13) | 0.079 (12) | 0.151 (14) | −0.040 (10) | 0.108 (12) | −0.013 (10) |
O5A | 0.112 (11) | 0.095 (12) | 0.137 (12) | 0.014 (9) | 0.083 (11) | −0.019 (10) |
O6 | 0.100 (11) | 0.081 (10) | 0.099 (12) | 0.011 (9) | 0.067 (10) | 0.008 (8) |
O6A | 0.125 (13) | 0.096 (13) | 0.124 (15) | 0.014 (10) | 0.059 (12) | −0.008 (10) |
Na1—O1i | 2.235 (10) | C43—H43A | 0.9800 |
Na1—O1 | 2.235 (10) | C43—H43B | 0.9800 |
Na1—O2i | 2.273 (10) | C43—H43C | 0.9800 |
Na1—O2 | 2.274 (11) | O5—C51 | 1.38 (3) |
O1—C11 | 1.50 (3) | O5—O5i | 1.73 (3) |
O1—H1 | 0.8400 | O5—H9 | 0.8400 |
C11—C13 | 1.26 (3) | C51—C53 | 1.49 (3) |
C11—C12 | 1.43 (3) | C51—C52 | 1.50 (3) |
C11—H11 | 1.0000 | C51—H51 | 1.0000 |
C12—H12A | 0.9800 | C52—H52A | 0.9800 |
C12—H12B | 0.9800 | C52—H52B | 0.9800 |
C12—H12C | 0.9800 | C52—H52C | 0.9800 |
C13—H13A | 0.9800 | C53—H53A | 0.9800 |
C13—H13B | 0.9800 | C53—H53B | 0.9800 |
C13—H13C | 0.9800 | C53—H53C | 0.9800 |
O2—C21 | 1.41 (2) | O5A—C51A | 1.39 (2) |
O2—H2 | 0.8400 | O5A—O5Ai | 1.70 (3) |
C21—C22 | 1.22 (3) | O5A—H5 | 0.8400 |
C21—C23 | 1.41 (2) | C51A—C52A | 1.48 (3) |
C21—H21 | 1.0000 | C51A—C53A | 1.56 (3) |
C22—H22A | 0.9800 | C51A—H51A | 1.0000 |
C22—H22B | 0.9800 | C52A—H52D | 0.9800 |
C22—H22C | 0.9800 | C52A—H52E | 0.9800 |
C23—H23A | 0.9800 | C52A—H52F | 0.9800 |
C23—H23B | 0.9800 | C53A—H53D | 0.9800 |
C23—H23C | 0.9800 | C53A—H53E | 0.9800 |
Na2—O3i | 2.246 (10) | C53A—H53F | 0.9800 |
Na2—O3 | 2.246 (10) | O6—C61 | 1.40 (2) |
Na2—O4i | 2.263 (10) | O6—H6 | 0.8400 |
Na2—O4 | 2.263 (10) | C61—C62 | 1.47 (3) |
O3—C31 | 1.41 (3) | C61—C63 | 1.53 (3) |
O3—H3 | 0.8400 | C61—H61 | 1.0000 |
C31—C32 | 1.28 (3) | C62—H62A | 0.9800 |
C31—C33 | 1.41 (3) | C62—H62B | 0.9800 |
C31—H31 | 1.0000 | C62—H62C | 0.9800 |
C32—H32A | 0.9800 | C63—H63A | 0.9800 |
C32—H32B | 0.9800 | C63—H63B | 0.9800 |
C32—H32C | 0.9800 | C63—H63C | 0.9800 |
C33—H33A | 0.9800 | O6A—C61A | 1.42 (3) |
C33—H33B | 0.9800 | O6A—H6A | 0.8400 |
C33—H33C | 0.9800 | C61A—C63A | 1.47 (3) |
O4—C41 | 1.345 (19) | C61A—C62A | 1.52 (3) |
O4—H4 | 0.8400 | C61A—H61A | 1.0000 |
C41—C43 | 1.18 (2) | C62A—H62D | 0.9800 |
C41—C42 | 1.45 (2) | C62A—H62E | 0.9800 |
C41—H41 | 1.0000 | C62A—H62F | 0.9800 |
C42—H42A | 0.9800 | C63A—H63D | 0.9800 |
C42—H42B | 0.9800 | C63A—H63E | 0.9800 |
C42—H42C | 0.9800 | C63A—H63F | 0.9800 |
O1i—Na1—O1 | 96.6 (5) | H42A—C42—H42C | 109.5 |
O1i—Na1—O2i | 120.3 (4) | H42B—C42—H42C | 109.5 |
O1—Na1—O2i | 118.8 (4) | C41—C43—H43A | 109.5 |
O1i—Na1—O2 | 118.8 (4) | C41—C43—H43B | 109.5 |
O1—Na1—O2 | 120.3 (4) | H43A—C43—H43B | 109.5 |
O2i—Na1—O2 | 84.3 (5) | C41—C43—H43C | 109.5 |
C11—O1—Na1 | 136.7 (12) | H43A—C43—H43C | 109.5 |
C11—O1—H1 | 109.5 | H43B—C43—H43C | 109.5 |
Na1—O1—H1 | 113.7 | C51—O5—O5i | 156.6 (18) |
C13—C11—C12 | 102 (2) | C51—O5—H9 | 109.5 |
C13—C11—O1 | 111 (3) | O5i—O5—H9 | 86.5 |
C12—C11—O1 | 102 (2) | O5—C51—C53 | 112 (3) |
C13—C11—H11 | 113.4 | O5—C51—C52 | 107 (3) |
C12—C11—H11 | 113.4 | C53—C51—C52 | 97 (3) |
O1—C11—H11 | 113.4 | O5—C51—H51 | 113.2 |
C11—C12—H12A | 109.5 | C53—C51—H51 | 113.2 |
C11—C12—H12B | 109.5 | C52—C51—H51 | 113.2 |
H12A—C12—H12B | 109.5 | C51—C52—H52A | 109.5 |
C11—C12—H12C | 109.5 | C51—C52—H52B | 109.5 |
H12A—C12—H12C | 109.5 | H52A—C52—H52B | 109.5 |
H12B—C12—H12C | 109.5 | C51—C52—H52C | 109.5 |
C11—C13—H13A | 109.5 | H52A—C52—H52C | 109.5 |
C11—C13—H13B | 109.5 | H52B—C52—H52C | 109.5 |
H13A—C13—H13B | 109.5 | C51—C53—H53A | 109.5 |
C11—C13—H13C | 109.5 | C51—C53—H53B | 109.5 |
H13A—C13—H13C | 109.5 | H53A—C53—H53B | 109.5 |
H13B—C13—H13C | 109.5 | C51—C53—H53C | 109.5 |
C21—O2—Na1 | 135.6 (10) | H53A—C53—H53C | 109.5 |
C21—O2—H2 | 109.5 | H53B—C53—H53C | 109.5 |
Na1—O2—H2 | 109.2 | C51A—O5A—O5Ai | 154.9 (16) |
C22—C21—C23 | 114 (3) | C51A—O5A—H5 | 109.5 |
C22—C21—O2 | 119 (3) | O5Ai—O5A—H5 | 94.9 |
C23—C21—O2 | 109.7 (16) | O5A—C51A—C52A | 108 (3) |
C22—C21—H21 | 104.0 | O5A—C51A—C53A | 118 (3) |
C23—C21—H21 | 104.0 | C52A—C51A—C53A | 110 (3) |
O2—C21—H21 | 104.0 | O5A—C51A—H51A | 106.9 |
C21—C22—H22A | 109.5 | C52A—C51A—H51A | 106.9 |
C21—C22—H22B | 109.5 | C53A—C51A—H51A | 106.9 |
H22A—C22—H22B | 109.5 | C51A—C52A—H52D | 109.5 |
C21—C22—H22C | 109.5 | C51A—C52A—H52E | 109.5 |
H22A—C22—H22C | 109.5 | H52D—C52A—H52E | 109.5 |
H22B—C22—H22C | 109.5 | C51A—C52A—H52F | 109.5 |
C21—C23—H23A | 109.5 | H52D—C52A—H52F | 109.5 |
C21—C23—H23B | 109.5 | H52E—C52A—H52F | 109.5 |
H23A—C23—H23B | 109.5 | C51A—C53A—H53D | 109.5 |
C21—C23—H23C | 109.5 | C51A—C53A—H53E | 109.5 |
H23A—C23—H23C | 109.5 | H53D—C53A—H53E | 109.5 |
H23B—C23—H23C | 109.5 | C51A—C53A—H53F | 109.5 |
O3i—Na2—O3 | 96.8 (5) | H53D—C53A—H53F | 109.5 |
O3i—Na2—O4i | 121.3 (4) | H53E—C53A—H53F | 109.5 |
O3—Na2—O4i | 117.9 (4) | C61—O6—H6 | 109.5 |
O3i—Na2—O4 | 117.9 (4) | O6—C61—C62 | 110 (2) |
O3—Na2—O4 | 121.3 (4) | O6—C61—C63 | 111 (3) |
O4i—Na2—O4 | 83.9 (5) | C62—C61—C63 | 111 (2) |
C31—O3—Na2 | 135.3 (14) | O6—C61—H61 | 108.5 |
C31—O3—H3 | 109.5 | C62—C61—H61 | 108.5 |
Na2—O3—H3 | 97.7 | C63—C61—H61 | 108.5 |
C32—C31—O3 | 111 (3) | C61—C62—H62A | 109.5 |
C32—C31—C33 | 103 (2) | C61—C62—H62B | 109.5 |
O3—C31—C33 | 104 (3) | H62A—C62—H62B | 109.5 |
C32—C31—H31 | 112.6 | C61—C62—H62C | 109.5 |
O3—C31—H31 | 112.6 | H62A—C62—H62C | 109.5 |
C33—C31—H31 | 112.6 | H62B—C62—H62C | 109.5 |
C31—C32—H32A | 109.5 | C61—C63—H63A | 109.5 |
C31—C32—H32B | 109.5 | C61—C63—H63B | 109.5 |
H32A—C32—H32B | 109.5 | H63A—C63—H63B | 109.5 |
C31—C32—H32C | 109.5 | C61—C63—H63C | 109.5 |
H32A—C32—H32C | 109.5 | H63A—C63—H63C | 109.5 |
H32B—C32—H32C | 109.5 | H63B—C63—H63C | 109.5 |
C31—C33—H33A | 109.5 | C61A—O6A—H6A | 109.5 |
C31—C33—H33B | 109.5 | O6A—C61A—C63A | 109 (3) |
H33A—C33—H33B | 109.5 | O6A—C61A—C62A | 120 (4) |
C31—C33—H33C | 109.5 | C63A—C61A—C62A | 111 (3) |
H33A—C33—H33C | 109.5 | O6A—C61A—H61A | 105.4 |
H33B—C33—H33C | 109.5 | C63A—C61A—H61A | 105.4 |
C41—O4—Na2 | 136.6 (11) | C62A—C61A—H61A | 105.4 |
C41—O4—H4 | 109.5 | C61A—C62A—H62D | 109.5 |
Na2—O4—H4 | 107.2 | C61A—C62A—H62E | 109.5 |
C43—C41—O4 | 127 (2) | H62D—C62A—H62E | 109.5 |
C43—C41—C42 | 120 (2) | C61A—C62A—H62F | 109.5 |
O4—C41—C42 | 111.8 (17) | H62D—C62A—H62F | 109.5 |
C43—C41—H41 | 93.6 | H62E—C62A—H62F | 109.5 |
O4—C41—H41 | 93.6 | C61A—C63A—H63D | 109.5 |
C42—C41—H41 | 93.6 | C61A—C63A—H63E | 109.5 |
C41—C42—H42A | 109.5 | H63D—C63A—H63E | 109.5 |
C41—C42—H42B | 109.5 | C61A—C63A—H63F | 109.5 |
H42A—C42—H42B | 109.5 | H63D—C63A—H63F | 109.5 |
C41—C42—H42C | 109.5 | H63E—C63A—H63F | 109.5 |
Symmetry code: (i) −x+1, y, −z+3/2. |
C3H7O−·Na+·(C3H8O)2 | F(000) = 896 |
Mr = 202.26 | Dx = 0.992 Mg m−3 |
Monoclinic, C2/c | Cu Kα radiation, λ = 1.54178 Å |
a = 23.745 (5) Å | Cell parameters from 328 reflections |
b = 5.0750 (11) Å | θ = 3.9–50.9° |
c = 24.174 (5) Å | µ = 0.85 mm−1 |
β = 111.589 (10)° | T = 173 K |
V = 2708.7 (10) Å3 | Needle, colourless |
Z = 8 | 0.50 × 0.05 × 0.05 mm |
Apex2 detector diffractometer | 969 reflections with I > 2σ(I) |
Radiation source: microfocus X-ray tube, Incoatek microfocus tube | Rint = 0.089 |
ω and phi scans | θmax = 50.9°, θmin = 3.9° |
Absorption correction: multi-scan SADABS-2014/5 - Bruker AXS area detector scaling and absorption correction | h = −23→22 |
Tmin = 0.950, Tmax = 0.958 | k = −4→4 |
9972 measured reflections | l = −24→24 |
1407 independent reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.095 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.298 | H-atom parameters constrained |
S = 1.06 | w = 1/[σ2(Fo2) + (0.1483P)2 + 5.7588P] where P = (Fo2 + 2Fc2)/3 |
1407 reflections | (Δ/σ)max < 0.001 |
114 parameters | Δρmax = 0.24 e Å−3 |
0 restraints | Δρmin = −0.20 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | Occ. (<1) | |
Na1 | 0.70331 (12) | 0.2937 (4) | 0.69713 (10) | 0.1004 (11) | |
O1 | 0.7267 (2) | 0.4516 (9) | 0.79295 (18) | 0.1009 (15) | |
C11 | 0.6787 (6) | 0.506 (4) | 0.8115 (6) | 0.196 (5) | |
H11A | 0.688697 | 0.418717 | 0.850589 | 0.235* | 0.52 (2) |
H11B | 0.679823 | 0.697666 | 0.818953 | 0.235* | 0.52 (2) |
H11C | 0.651940 | 0.349280 | 0.799860 | 0.235* | 0.48 (2) |
H11D | 0.696544 | 0.504419 | 0.855479 | 0.235* | 0.48 (2) |
C12A | 0.6268 (14) | 0.452 (6) | 0.7830 (11) | 0.183 (11)* | 0.52 (2) |
H12A | 0.623732 | 0.257839 | 0.778826 | 0.220* | 0.52 (2) |
H12B | 0.616628 | 0.525854 | 0.742589 | 0.220* | 0.52 (2) |
C13A | 0.5789 (13) | 0.543 (7) | 0.8060 (13) | 0.218 (12)* | 0.52 (2) |
H13A | 0.538906 | 0.485712 | 0.778570 | 0.326* | 0.52 (2) |
H13B | 0.586851 | 0.466157 | 0.845376 | 0.326* | 0.52 (2) |
H13C | 0.579714 | 0.735433 | 0.808969 | 0.326* | 0.52 (2) |
C12B | 0.6457 (13) | 0.690 (6) | 0.7986 (12) | 0.169 (11)* | 0.48 (2) |
H12C | 0.632741 | 0.706773 | 0.754909 | 0.202* | 0.48 (2) |
H12D | 0.671947 | 0.844431 | 0.815526 | 0.202* | 0.48 (2) |
C13B | 0.5883 (9) | 0.738 (5) | 0.8121 (9) | 0.139 (8)* | 0.48 (2) |
H13D | 0.570781 | 0.908775 | 0.795776 | 0.208* | 0.48 (2) |
H13E | 0.558865 | 0.597939 | 0.793868 | 0.208* | 0.48 (2) |
H13F | 0.598562 | 0.737322 | 0.855244 | 0.208* | 0.48 (2) |
O2 | 0.6301 (2) | −0.0088 (10) | 0.6593 (2) | 0.138 (2) | |
H2 | 0.642060 | −0.134558 | 0.643919 | 0.166* | |
C21A | 0.5601 (10) | −0.044 (6) | 0.6471 (13) | 0.189 (10)* | 0.59 (3) |
H21A | 0.548802 | −0.232122 | 0.646928 | 0.227* | 0.59 (3) |
H21B | 0.547750 | 0.053767 | 0.676173 | 0.227* | 0.59 (3) |
C22A | 0.537 (2) | 0.060 (9) | 0.5938 (18) | 0.285 (17)* | 0.59 (3) |
H22A | 0.548022 | −0.048147 | 0.564940 | 0.342* | 0.59 (3) |
H22B | 0.553630 | 0.240248 | 0.594063 | 0.342* | 0.59 (3) |
C23A | 0.4667 (13) | 0.069 (6) | 0.5765 (10) | 0.223 (13)* | 0.59 (3) |
H23A | 0.447721 | 0.145734 | 0.536731 | 0.334* | 0.59 (3) |
H23B | 0.451457 | −0.110703 | 0.576456 | 0.334* | 0.59 (3) |
H23C | 0.457037 | 0.176268 | 0.605436 | 0.334* | 0.59 (3) |
C21B | 0.5780 (15) | −0.034 (6) | 0.6122 (17) | 0.164 (12)* | 0.41 (3) |
H21C | 0.563880 | −0.218870 | 0.607138 | 0.197* | 0.41 (3) |
H21D | 0.582908 | 0.025967 | 0.575275 | 0.197* | 0.41 (3) |
C22B | 0.5319 (17) | 0.151 (9) | 0.6280 (19) | 0.201 (16)* | 0.41 (3) |
H22C | 0.504342 | 0.045577 | 0.641670 | 0.242* | 0.41 (3) |
H22D | 0.553652 | 0.280115 | 0.659181 | 0.242* | 0.41 (3) |
C23B | 0.500 (2) | 0.275 (11) | 0.574 (2) | 0.27 (2)* | 0.41 (3) |
H23D | 0.470258 | 0.395088 | 0.579145 | 0.402* | 0.41 (3) |
H23E | 0.528740 | 0.374881 | 0.561403 | 0.402* | 0.41 (3) |
H23F | 0.479820 | 0.142201 | 0.544030 | 0.402* | 0.41 (3) |
O3 | 0.6994 (2) | 0.6428 (9) | 0.64133 (17) | 0.1253 (19) | |
H3 | 0.727305 | 0.754716 | 0.653694 | 0.150* | |
C31A | 0.6726 (13) | 0.657 (4) | 0.5789 (8) | 0.103 (8)* | 0.40 (3) |
H31A | 0.685600 | 0.821225 | 0.565004 | 0.124* | 0.40 (3) |
H31B | 0.627996 | 0.662018 | 0.566705 | 0.124* | 0.40 (3) |
C32A | 0.6895 (10) | 0.434 (4) | 0.5517 (8) | 0.094 (7)* | 0.40 (3) |
H32A | 0.669213 | 0.274884 | 0.558938 | 0.113* | 0.40 (3) |
H32B | 0.733754 | 0.407047 | 0.570629 | 0.113* | 0.40 (3) |
C31B | 0.7144 (9) | 0.637 (3) | 0.5840 (5) | 0.108 (6)* | 0.60 (3) |
H31C | 0.717826 | 0.817359 | 0.569965 | 0.129* | 0.60 (3) |
H31D | 0.752612 | 0.540502 | 0.590635 | 0.129* | 0.60 (3) |
C32B | 0.6609 (13) | 0.494 (5) | 0.5404 (12) | 0.197 (10)* | 0.60 (3) |
H32C | 0.623136 | 0.592991 | 0.533821 | 0.236* | 0.60 (3) |
H32D | 0.657009 | 0.316464 | 0.555754 | 0.236* | 0.60 (3) |
C33 | 0.6720 (5) | 0.470 (2) | 0.4824 (3) | 0.180 (4) | |
H33A | 0.684470 | 0.313443 | 0.466126 | 0.271* | 0.40 (3) |
H33B | 0.628110 | 0.493299 | 0.463280 | 0.271* | 0.40 (3) |
H33C | 0.692669 | 0.625499 | 0.474975 | 0.271* | 0.40 (3) |
H33D | 0.637988 | 0.377395 | 0.452861 | 0.271* | 0.60 (3) |
H33E | 0.675760 | 0.646475 | 0.467669 | 0.271* | 0.60 (3) |
H33F | 0.709484 | 0.371160 | 0.489507 | 0.271* | 0.60 (3) |
U11 | U22 | U33 | U12 | U13 | U23 | |
Na1 | 0.142 (2) | 0.0771 (17) | 0.0821 (17) | −0.0014 (13) | 0.0411 (14) | 0.0001 (11) |
O1 | 0.121 (3) | 0.102 (3) | 0.096 (3) | −0.007 (2) | 0.058 (3) | −0.011 (2) |
C11 | 0.175 (12) | 0.250 (17) | 0.184 (11) | −0.005 (12) | 0.091 (10) | 0.011 (11) |
O2 | 0.122 (4) | 0.121 (4) | 0.150 (5) | −0.011 (3) | 0.026 (4) | −0.001 (3) |
O3 | 0.222 (5) | 0.084 (3) | 0.066 (3) | −0.007 (3) | 0.049 (3) | −0.003 (2) |
C33 | 0.225 (10) | 0.241 (12) | 0.081 (5) | −0.001 (9) | 0.063 (6) | −0.040 (6) |
Na1—O3 | 2.208 (5) | C23A—H23A | 0.9800 |
Na1—O2 | 2.246 (6) | C23A—H23B | 0.9800 |
Na1—O1 | 2.317 (5) | C23A—H23C | 0.9800 |
Na1—O1i | 2.355 (5) | C21B—C22B | 1.59 (7) |
Na1—Na1ii | 3.704 (4) | C21B—H21C | 0.9900 |
Na1—Na1i | 3.704 (4) | C21B—H21D | 0.9900 |
O1—C11 | 1.396 (11) | C22B—C23B | 1.39 (5) |
C11—C12B | 1.19 (3) | C22B—H22C | 0.9900 |
C11—C12A | 1.20 (3) | C22B—H22D | 0.9900 |
C11—H11A | 0.9900 | C23B—H23D | 0.9800 |
C11—H11B | 0.9900 | C23B—H23E | 0.9800 |
C11—H11C | 0.9900 | C23B—H23F | 0.9800 |
C11—H11D | 0.9900 | O3—C31A | 1.407 (18) |
C12A—C13A | 1.51 (3) | O3—C31B | 1.554 (14) |
C12A—H12A | 0.9900 | O3—H3 | 0.8400 |
C12A—H12B | 0.9900 | C31A—C32A | 1.44 (4) |
C13A—H13A | 0.9800 | C31A—H31A | 0.9900 |
C13A—H13B | 0.9800 | C31A—H31B | 0.9900 |
C13A—H13C | 0.9800 | C32A—C33 | 1.580 (19) |
C12B—C13B | 1.53 (3) | C32A—H32A | 0.9900 |
C12B—H12C | 0.9900 | C32A—H32B | 0.9900 |
C12B—H12D | 0.9900 | C31B—C32B | 1.51 (4) |
C13B—H13D | 0.9800 | C31B—H31C | 0.9900 |
C13B—H13E | 0.9800 | C31B—H31D | 0.9900 |
C13B—H13F | 0.9800 | C32B—C33 | 1.52 (2) |
O2—C21B | 1.34 (3) | C32B—H32C | 0.9900 |
O2—C21A | 1.59 (2) | C32B—H32D | 0.9900 |
O2—H2 | 0.8400 | C33—H33A | 0.9800 |
C21A—C22A | 1.31 (5) | C33—H33B | 0.9800 |
C21A—H21A | 0.9900 | C33—H33C | 0.9800 |
C21A—H21B | 0.9900 | C33—H33D | 0.9800 |
C22A—C23A | 1.58 (4) | C33—H33E | 0.9800 |
C22A—H22A | 0.9900 | C33—H33F | 0.9800 |
C22A—H22B | 0.9900 | ||
O3—Na1—O2 | 116.6 (2) | C21A—C22A—H22B | 110.4 |
O3—Na1—O1 | 105.91 (18) | C23A—C22A—H22B | 110.4 |
O2—Na1—O1 | 120.5 (2) | H22A—C22A—H22B | 108.6 |
O3—Na1—O1i | 121.56 (19) | C22A—C23A—H23A | 109.5 |
O2—Na1—O1i | 87.1 (2) | C22A—C23A—H23B | 109.5 |
O1—Na1—O1i | 104.65 (14) | H23A—C23A—H23B | 109.5 |
O3—Na1—Na1ii | 75.63 (12) | C22A—C23A—H23C | 109.5 |
O2—Na1—Na1ii | 157.8 (2) | H23A—C23A—H23C | 109.5 |
O1—Na1—Na1ii | 37.90 (12) | H23B—C23A—H23C | 109.5 |
O1i—Na1—Na1ii | 102.35 (16) | O2—C21B—C22B | 104 (3) |
O3—Na1—Na1i | 148.4 (2) | O2—C21B—H21C | 111.0 |
O2—Na1—Na1i | 89.42 (15) | C22B—C21B—H21C | 111.0 |
O1—Na1—Na1i | 71.62 (15) | O2—C21B—H21D | 111.0 |
O1i—Na1—Na1i | 37.20 (10) | C22B—C21B—H21D | 111.0 |
Na1ii—Na1—Na1i | 86.49 (10) | H21C—C21B—H21D | 109.0 |
C11—O1—Na1 | 117.7 (7) | C23B—C22B—C21B | 103 (4) |
C11—O1—Na1ii | 116.9 (8) | C23B—C22B—H22C | 111.2 |
Na1—O1—Na1ii | 104.89 (17) | C21B—C22B—H22C | 111.2 |
C12B—C11—O1 | 127.5 (19) | C23B—C22B—H22D | 111.2 |
C12A—C11—O1 | 124.0 (19) | C21B—C22B—H22D | 111.2 |
C12A—C11—H11A | 106.3 | H22C—C22B—H22D | 109.1 |
O1—C11—H11A | 106.3 | C22B—C23B—H23D | 109.5 |
C12A—C11—H11B | 106.3 | C22B—C23B—H23E | 109.5 |
O1—C11—H11B | 106.3 | H23D—C23B—H23E | 109.5 |
H11A—C11—H11B | 106.4 | C22B—C23B—H23F | 109.5 |
C12B—C11—H11C | 105.4 | H23D—C23B—H23F | 109.5 |
O1—C11—H11C | 105.4 | H23E—C23B—H23F | 109.5 |
C12B—C11—H11D | 105.4 | C31A—O3—Na1 | 126.6 (8) |
O1—C11—H11D | 105.4 | C31B—O3—Na1 | 123.9 (6) |
H11C—C11—H11D | 106.0 | C31A—O3—H3 | 109.5 |
C11—C12A—C13A | 118 (2) | Na1—O3—H3 | 118.3 |
C11—C12A—H12A | 107.8 | O3—C31A—C32A | 111.1 (19) |
C13A—C12A—H12A | 107.8 | O3—C31A—H31A | 109.4 |
C11—C12A—H12B | 107.8 | C32A—C31A—H31A | 109.4 |
C13A—C12A—H12B | 107.8 | O3—C31A—H31B | 109.4 |
H12A—C12A—H12B | 107.1 | C32A—C31A—H31B | 109.4 |
C12A—C13A—H13A | 109.5 | H31A—C31A—H31B | 108.0 |
C12A—C13A—H13B | 109.5 | C31A—C32A—C33 | 112.8 (17) |
H13A—C13A—H13B | 109.5 | C31A—C32A—H32A | 109.0 |
C12A—C13A—H13C | 109.5 | C33—C32A—H32A | 109.0 |
H13A—C13A—H13C | 109.5 | C31A—C32A—H32B | 109.0 |
H13B—C13A—H13C | 109.5 | C33—C32A—H32B | 109.0 |
C11—C12B—C13B | 128 (2) | H32A—C32A—H32B | 107.8 |
C11—C12B—H12C | 105.2 | C32B—C31B—O3 | 102.8 (15) |
C13B—C12B—H12C | 105.2 | C32B—C31B—H31C | 111.2 |
C11—C12B—H12D | 105.2 | O3—C31B—H31C | 111.2 |
C13B—C12B—H12D | 105.2 | C32B—C31B—H31D | 111.2 |
H12C—C12B—H12D | 105.9 | O3—C31B—H31D | 111.2 |
C12B—C13B—H13D | 109.5 | H31C—C31B—H31D | 109.1 |
C12B—C13B—H13E | 109.5 | C31B—C32B—C33 | 107.1 (18) |
H13D—C13B—H13E | 109.5 | C31B—C32B—H32C | 110.3 |
C12B—C13B—H13F | 109.5 | C33—C32B—H32C | 110.3 |
H13D—C13B—H13F | 109.5 | C31B—C32B—H32D | 110.3 |
H13E—C13B—H13F | 109.5 | C33—C32B—H32D | 110.3 |
C21B—O2—Na1 | 137.9 (15) | H32C—C32B—H32D | 108.5 |
C21A—O2—Na1 | 139.0 (11) | C32A—C33—H33A | 109.5 |
C21A—O2—H2 | 109.5 | C32A—C33—H33B | 109.5 |
Na1—O2—H2 | 111.2 | H33A—C33—H33B | 109.5 |
C22A—C21A—O2 | 99 (3) | C32A—C33—H33C | 109.5 |
C22A—C21A—H21A | 111.9 | H33A—C33—H33C | 109.5 |
O2—C21A—H21A | 111.9 | H33B—C33—H33C | 109.5 |
C22A—C21A—H21B | 111.9 | C32B—C33—H33D | 109.5 |
O2—C21A—H21B | 111.9 | C32B—C33—H33E | 109.5 |
H21A—C21A—H21B | 109.6 | H33D—C33—H33E | 109.5 |
C21A—C22A—C23A | 106 (3) | C32B—C33—H33F | 109.5 |
C21A—C22A—H22A | 110.4 | H33D—C33—H33F | 109.5 |
C23A—C22A—H22A | 110.4 | H33E—C33—H33F | 109.5 |
Symmetry codes: (i) −x+3/2, y−1/2, −z+3/2; (ii) −x+3/2, y+1/2, −z+3/2. |
C5H11O−·Na+·C5H12O | F(000) = 440 |
Mr = 198.27 | Dx = 1.075 Mg m−3 |
Monoclinic, P21/c | Cu Kα radiation, λ = 1.54178 Å |
a = 10.1260 (8) Å | Cell parameters from 9885 reflections |
b = 6.0299 (5) Å | θ = 4.4–50.7° |
c = 20.6944 (18) Å | µ = 0.87 mm−1 |
β = 104.16° | T = 296 K |
V = 1225.18 (18) Å3 | Flat needle, colourless |
Z = 4 | 1.00 × 0.02 × 0.01 mm |
Apex2 detector diffractometer | 752 reflections with I > 2σ(I) |
Radiation source: microfocus X-ray tube, Incoatec microfocus tube | Rint = 0.112 |
ω and phi scans | θmax = 50.7°, θmin = 4.4° |
Absorption correction: multi-scan SADABS-2014/5 - Bruker AXS area detector scaling and absorption correction | h = −10→10 |
Tmin = 0.177, Tmax = 0.750 | k = −5→5 |
9885 measured reflections | l = −20→20 |
1136 independent reflections |
Refinement on F2 | Primary atom site location: structure-invariant direct methods |
Least-squares matrix: full | Secondary atom site location: difference Fourier map |
R[F2 > 2σ(F2)] = 0.057 | Hydrogen site location: inferred from neighbouring sites |
wR(F2) = 0.161 | H-atom parameters constrained |
S = 1.01 | w = 1/[σ2(Fo2) + (0.0918P)2] where P = (Fo2 + 2Fc2)/3 |
1136 reflections | (Δ/σ)max < 0.001 |
118 parameters | Δρmax = 0.30 e Å−3 |
15 restraints | Δρmin = −0.26 e Å−3 |
Geometry. All esds (except the esd in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell esds are taken into account individually in the estimation of esds in distances, angles and torsion angles; correlations between esds in cell parameters are only used when they are defined by crystal symmetry. An approximate (isotropic) treatment of cell esds is used for estimating esds involving l.s. planes. |
x | y | z | Uiso*/Ueq | ||
Na1 | 0.43468 (17) | 0.7495 (3) | 0.50154 (9) | 0.0457 (6) | |
O2 | 0.3407 (3) | 1.0898 (5) | 0.46131 (14) | 0.0384 (8) | |
C3 | 0.2237 (4) | 1.0877 (7) | 0.4074 (2) | 0.0348 (11) | |
C31 | 0.1047 (5) | 0.9908 (10) | 0.4317 (3) | 0.0631 (16) | |
H31A | 0.024511 | 0.988424 | 0.395550 | 0.095* | |
H31B | 0.126608 | 0.842514 | 0.447581 | 0.095* | |
H31C | 0.088280 | 1.080827 | 0.467202 | 0.095* | |
C32 | 0.1912 (6) | 1.3232 (8) | 0.3819 (3) | 0.0597 (15) | |
H32A | 0.111824 | 1.321792 | 0.345326 | 0.090* | |
H32B | 0.174295 | 1.414083 | 0.417124 | 0.090* | |
H32C | 0.266970 | 1.382153 | 0.367236 | 0.090* | |
C4 | 0.2572 (5) | 0.9448 (8) | 0.3529 (2) | 0.0510 (14) | |
H4A | 0.292076 | 0.804037 | 0.372509 | 0.061* | |
H4B | 0.330115 | 1.016642 | 0.337902 | 0.061* | |
C5 | 0.1410 (6) | 0.8968 (11) | 0.2914 (3) | 0.0710 (18) | |
H5A | 0.174349 | 0.805823 | 0.260760 | 0.107* | |
H5B | 0.068894 | 0.820518 | 0.304855 | 0.107* | |
H5C | 0.107073 | 1.033900 | 0.270122 | 0.107* | |
O6 | 0.3809 (3) | 0.4094 (5) | 0.53985 (14) | 0.0402 (9) | |
H6 | 0.345029 | 0.310143 | 0.514476 | 0.060* | |
C7 | 0.3314 (4) | 0.4031 (7) | 0.5984 (2) | 0.0364 (12) | |
C71 | 0.1907 (5) | 0.5101 (9) | 0.5842 (3) | 0.0569 (15) | |
H71A | 0.157101 | 0.505998 | 0.623763 | 0.085* | |
H71B | 0.196878 | 0.661385 | 0.570798 | 0.085* | |
H71C | 0.129477 | 0.430336 | 0.549177 | 0.085* | |
C72 | 0.4298 (5) | 0.5335 (9) | 0.6523 (2) | 0.0565 (15) | |
H72A | 0.398506 | 0.531695 | 0.692505 | 0.085* | |
H72B | 0.518576 | 0.467180 | 0.660618 | 0.085* | |
H72C | 0.434538 | 0.683877 | 0.637826 | 0.085* | |
C8 | 0.3232 (6) | 0.1641 (8) | 0.6207 (2) | 0.0464 (13) | |
H8A | 0.259297 | 0.086089 | 0.585472 | 0.056* | |
H8B | 0.411820 | 0.096502 | 0.624868 | 0.056* | |
C9 | 0.2814 (6) | 0.1242 (10) | 0.6853 (3) | 0.0656 (17) | |
H9A | 0.280159 | −0.032249 | 0.693687 | 0.098* | |
H9B | 0.345315 | 0.195105 | 0.721348 | 0.098* | |
H9C | 0.192175 | 0.184651 | 0.681793 | 0.098* |
U11 | U22 | U33 | U12 | U13 | U23 | |
Na1 | 0.0356 (11) | 0.0311 (10) | 0.0658 (13) | 0.0028 (8) | 0.0036 (9) | 0.0125 (9) |
O2 | 0.0298 (19) | 0.0324 (18) | 0.0451 (19) | 0.0019 (13) | −0.0062 (16) | 0.0008 (15) |
C3 | 0.025 (3) | 0.033 (3) | 0.040 (3) | −0.001 (2) | −0.006 (2) | 0.002 (2) |
C31 | 0.043 (3) | 0.082 (4) | 0.060 (4) | −0.013 (3) | 0.004 (3) | −0.003 (3) |
C32 | 0.064 (4) | 0.036 (3) | 0.066 (4) | 0.006 (3) | −0.009 (3) | 0.005 (3) |
C4 | 0.051 (4) | 0.043 (3) | 0.052 (3) | 0.008 (2) | −0.001 (3) | −0.001 (3) |
C5 | 0.069 (4) | 0.077 (5) | 0.054 (4) | −0.003 (3) | −0.008 (3) | −0.018 (3) |
O6 | 0.041 (2) | 0.0327 (19) | 0.0441 (19) | −0.0092 (14) | 0.0058 (17) | −0.0044 (14) |
C7 | 0.034 (3) | 0.033 (3) | 0.040 (3) | 0.001 (2) | 0.005 (2) | −0.001 (2) |
C71 | 0.051 (4) | 0.053 (4) | 0.066 (4) | 0.008 (3) | 0.012 (3) | 0.004 (3) |
C72 | 0.061 (4) | 0.050 (4) | 0.052 (3) | −0.012 (3) | 0.002 (3) | −0.009 (3) |
C8 | 0.052 (3) | 0.034 (3) | 0.050 (3) | 0.001 (2) | 0.007 (3) | 0.001 (2) |
C9 | 0.078 (4) | 0.062 (4) | 0.054 (3) | −0.007 (3) | 0.011 (3) | 0.012 (3) |
Na1—O6 | 2.312 (3) | C5—H5B | 0.9600 |
Na1—O2 | 2.329 (3) | C5—H5C | 0.9600 |
Na1—O2i | 2.418 (3) | O6—C7 | 1.422 (5) |
Na1—O6ii | 2.434 (3) | O6—H6 | 0.8200 |
Na1—Na1ii | 3.294 (3) | C7—C72 | 1.520 (6) |
Na1—Na1i | 3.304 (3) | C7—C8 | 1.522 (7) |
O2—C3 | 1.415 (5) | C7—C71 | 1.526 (6) |
C3—C32 | 1.522 (6) | C71—H71A | 0.9600 |
C3—C4 | 1.522 (7) | C71—H71B | 0.9600 |
C3—C31 | 1.531 (6) | C71—H71C | 0.9600 |
C31—H31A | 0.9600 | C72—H72A | 0.9600 |
C31—H31B | 0.9600 | C72—H72B | 0.9600 |
C31—H31C | 0.9600 | C72—H72C | 0.9600 |
C32—H32A | 0.9600 | C8—C9 | 1.517 (6) |
C32—H32B | 0.9600 | C8—H8A | 0.9700 |
C32—H32C | 0.9600 | C8—H8B | 0.9700 |
C4—C5 | 1.534 (7) | C9—H9A | 0.9600 |
C4—H4A | 0.9700 | C9—H9B | 0.9600 |
C4—H4B | 0.9700 | C9—H9C | 0.9600 |
C5—H5A | 0.9600 | ||
O6—Na1—O2 | 142.60 (13) | C4—C5—H5A | 109.5 |
O6—Na1—O2i | 121.91 (12) | C4—C5—H5B | 109.5 |
O2—Na1—O2i | 91.79 (11) | H5A—C5—H5B | 109.5 |
O6—Na1—O6ii | 92.11 (11) | C4—C5—H5C | 109.5 |
O2—Na1—O6ii | 120.20 (12) | H5A—C5—H5C | 109.5 |
O2i—Na1—O6ii | 61.73 (10) | H5B—C5—H5C | 109.5 |
O6—Na1—Na1ii | 47.58 (8) | C7—O6—Na1 | 118.6 (2) |
O2—Na1—Na1ii | 158.30 (13) | C7—O6—Na1ii | 138.7 (2) |
O2i—Na1—Na1ii | 91.21 (10) | Na1—O6—Na1ii | 87.89 (11) |
O6ii—Na1—Na1ii | 44.53 (8) | C7—O6—H6 | 109.5 |
O6—Na1—Na1i | 161.22 (13) | Na1—O6—H6 | 122.2 |
O2—Na1—Na1i | 47.02 (8) | Na1ii—O6—H6 | 75.2 |
O2i—Na1—Na1i | 44.78 (8) | O6—C7—C72 | 107.9 (3) |
O6ii—Na1—Na1i | 90.45 (9) | O6—C7—C8 | 109.9 (3) |
Na1ii—Na1—Na1i | 132.08 (10) | C72—C7—C8 | 110.0 (4) |
C3—O2—Na1 | 117.7 (2) | O6—C7—C71 | 109.4 (4) |
C3—O2—Na1i | 142.7 (2) | C72—C7—C71 | 109.7 (4) |
Na1—O2—Na1i | 88.21 (11) | C8—C7—C71 | 110.0 (4) |
O2—C3—C32 | 109.5 (4) | C7—C71—H71A | 109.5 |
O2—C3—C4 | 107.1 (3) | C7—C71—H71B | 109.5 |
C32—C3—C4 | 109.9 (4) | H71A—C71—H71B | 109.5 |
O2—C3—C31 | 108.6 (4) | C7—C71—H71C | 109.5 |
C32—C3—C31 | 110.4 (4) | H71A—C71—H71C | 109.5 |
C4—C3—C31 | 111.3 (4) | H71B—C71—H71C | 109.5 |
C3—C31—H31A | 109.5 | C7—C72—H72A | 109.5 |
C3—C31—H31B | 109.5 | C7—C72—H72B | 109.5 |
H31A—C31—H31B | 109.5 | H72A—C72—H72B | 109.5 |
C3—C31—H31C | 109.5 | C7—C72—H72C | 109.5 |
H31A—C31—H31C | 109.5 | H72A—C72—H72C | 109.5 |
H31B—C31—H31C | 109.5 | H72B—C72—H72C | 109.5 |
C3—C32—H32A | 109.5 | C9—C8—C7 | 117.7 (4) |
C3—C32—H32B | 109.5 | C9—C8—H8A | 107.9 |
H32A—C32—H32B | 109.5 | C7—C8—H8A | 107.9 |
C3—C32—H32C | 109.5 | C9—C8—H8B | 107.9 |
H32A—C32—H32C | 109.5 | C7—C8—H8B | 107.9 |
H32B—C32—H32C | 109.5 | H8A—C8—H8B | 107.2 |
C3—C4—C5 | 117.2 (4) | C8—C9—H9A | 109.5 |
C3—C4—H4A | 108.0 | C8—C9—H9B | 109.5 |
C5—C4—H4A | 108.0 | H9A—C9—H9B | 109.5 |
C3—C4—H4B | 108.0 | C8—C9—H9C | 109.5 |
C5—C4—H4B | 108.0 | H9A—C9—H9C | 109.5 |
H4A—C4—H4B | 107.2 | H9B—C9—H9C | 109.5 |
Symmetry codes: (i) −x+1, −y+2, −z+1; (ii) −x+1, −y+1, −z+1. |
Footnotes
1For a discussion on the name `Rietveld method' versus the name `Loopstra method', see van Laar & Schenk (2018).
Acknowledgements
The authors thank Daniel Kratzert (Albert Ludwigs University, Freiburg) for his kind assistance with the iPr·5iPrOH, Ulrich Müller (Philipps University, Marburg) for helpful suggestions for improvement of the Bärnighausen tree, Edith Alig (Goethe University, Frankfurt) for the measurement of numerous powder diagrams, Lothar Fink (Goethe University, Frankfurt) for support with the single-crystal and excellent maintenance of all of our diffractometers, Tanja Reipen (Clariant, Frankfurt) for providing information on industrial sodium tert-amylate, and Trixi Cronje for assistance with the correction of the English. Open access funding enabled and organized by Projekt DEAL.
of the disordered of NaOReferences
Aroyo, M. I. (2016). International Tables for Crystallography, Vol. A, Space-group Symmetry, 6th ed. Chester: International Union of Crystallography. Google Scholar
Bärnighausen, H. (1980). MATCH Commun. Math. Comput. Chem. 9, 139–175. Google Scholar
Beske, M., Tapmeyer, L. & Schmidt, M. U. (2020). Chem. Commun. 56, 3520–3523. CSD CrossRef CAS Google Scholar
Blanchard, J.-M., Bousquet, J., Claudy, P. & Letoffe, J.-M. (1976). J. Therm. Anal. 9, 191–203. CrossRef CAS Google Scholar
Boher, P., Garnier, P., Gavarri, J. R. & Hewat, A. W. (1985). J. Solid State Chem. 57, 343–350. CrossRef ICSD CAS Web of Science Google Scholar
Boultif, A. & Louër, D. (1991). J. Appl. Cryst. 24, 987–993. CrossRef CAS Web of Science IUCr Journals Google Scholar
Bruker (2015). APEX3. Bruker AXS GmbH, Karlsruhe, Germany. Google Scholar
Chandran, K., Nithya, R., Sankaran, K., Gopalan, A. & Ganesan, V. (2006). Bull. Mater. Sci. 29, 173–179. CrossRef CAS Google Scholar
Chapuis, G. C. (1992). Symmetry relationships between crystal structures and their practical application, in Modern Perspectives in Inorganic Chemistry, edited by E. Parté, pp. 1–16. Dordrecht: Kluwer Academic Publishers. Google Scholar
Coelho, A. A. (2018). J. Appl. Cryst. 51, 210–218. Web of Science CrossRef CAS IUCr Journals Google Scholar
David, W. I. F., Shankland, K., van de Streek, J., Pidcock, E., Motherwell, W. D. S. & Cole, J. C. (2006). J. Appl. Cryst. 39, 910–915. Web of Science CrossRef CAS IUCr Journals Google Scholar
Davies, J. E., Kopf, J. & Weiss, E. (1982). Acta Cryst. B38, 2251–2253. CSD CrossRef CAS Web of Science IUCr Journals Google Scholar
Dittrich, B., Bergmann, J., Roloff, P. & Reiss, G. J. (2018). Crystals, 8, 213–224. CSD CrossRef Google Scholar
Friedrich, H., Guth, J., Schweinzer, J., Letzelter, T. & Bender, H.-J. (1999). European Patent EP 1086067 B1. Google Scholar
Geuther, A. (1859). Justus Liebigs Ann. Chem. 109, 71–79. CrossRef Google Scholar
Geuther, A. (1868a). Jena. Z. Med. Naturwiss. 4, 16–18. Google Scholar
Geuther, A. (1868b). Jena. Z. Med. Naturwiss. 4, 241–263. Google Scholar
Geuther, A. & Frölich, O. (1880). Justus Liebigs Ann. Chem. 202, 288–331. CrossRef Google Scholar
Greiser, T. & Weiss, E. (1977). Chem. Ber. 110, 3388–3396. CSD CrossRef CAS Google Scholar
Hahn, T. (2005). Editor. International Tables for Crystallography, Vol. A, Space-group symmetry, 5th ed., with corrections. Chester: International Union of Crystallography. Google Scholar
Hofmann, D. W. M. (2002). Acta Cryst. B58, 489–493. Web of Science CrossRef CAS IUCr Journals Google Scholar
Hunger, K. & Schmidt, M. U. (2018). In Industrial Organic Pigments, 4th ed. Weinheim: Wiley-VCH. Google Scholar
Kopský, V. & Litvin, D. B. (2010). Editors. International Tables for Crystallography Vol. E, Subperiodic groups, 2nd ed. Chester: International Union of Crystallography. Google Scholar
Laar, B. van & Schenk, H. (2018). Acta Cryst. A74, 88–92. Web of Science CrossRef IUCr Journals Google Scholar
Lescoeur, H. (1895). C. R. Acad. Sci. 121, 691–692. CAS Google Scholar
Liebig, J. (1837). Ann. Pharm. 23, 12–42. CrossRef Google Scholar
Loopstra, B. O. & Rietveld, H. M. (1969). Acta Cryst. B25, 787–791. CrossRef ICSD IUCr Journals Web of Science 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
Mehring, M., Berkei, M. & Schürmann, M. (2002). Z. Anorg. Allg. Chem. 628, 1975–1978. CrossRef CAS Google Scholar
Müller, U. (2004). Z. Anorg. Allg. Chem. 630, 1519–1537. Web of Science CrossRef Google Scholar
Müller, U. (2006). In Inorganic Structural Chemistry, 2nd ed., ch. 18. Weinheim: Wiley-VCH. Google Scholar
Müller, U. (2012). In Symmetriebeziehungen zwischen verwandten Kristallstrukturen. Anwendungen der Gruppentheorie in der Kristallchemie. Wiesbaden: Vieweg+Teubner Verlag. [English translation: Symmetry Relationships between Crystal Structures (2013), Oxford University Press.] Google Scholar
Nekola, H., Olbrich, F. & Behrens, U. (2002). Z. Anorg. Allg. Chem. 628, 2067–2070. CrossRef CAS Google Scholar
Østreng, E., Sønsteby, H. H., Øien, S., Nilsen, O. & Fjellvåg, H. (2014). Dalton Trans. 43, 16666–16672. PubMed Google Scholar
Ridout, J. & Probert, M. R. (2014). CrystEngComm, 16, 7397–7400. Web of Science CSD CrossRef CAS Google Scholar
Sheldrick, G. M. (2015a). Acta Cryst. A71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Sheldrick, G. M. (2015b). Acta Cryst. C71, 3–8. Web of Science CrossRef IUCr Journals Google Scholar
Wanklyn, J. A. (1869). Ann. Chem. Pharm. 150, 200–206. CrossRef Google Scholar
Wei, C. H. & Hingerty, B. E. (1981). Acta Cryst. B37, 1992–1997. CSD CrossRef CAS Web of Science IUCr Journals Google Scholar
Weiss, E. (1963). Helv. Chim. Acta, 46, 2051–2054. CrossRef CAS Google Scholar
Weiss, E. (1964). Z. Anorg. Allg. Chem. 332, 197–203. CrossRef Google Scholar
Weiss, E. & Alsdorf, H. (1970). Z. Anorg. Allg. Chem. 372, 206–213. CSD CrossRef CAS Google Scholar
Wheatley, P. J. (1961). J. Chem. Soc. (London), 1961, 4270–4274. Google Scholar
Wondratschek, H. & Müller, U. (2010). International Tables for Crystallography, Vol. A1, Symmetry Relations between Space Groups, 2nd ed. Chester: International Union of Crystallography. Google Scholar
This is an open-access article distributed under the terms of the Creative Commons Attribution (CC-BY) Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original authors and source are cited.