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The shortest known CF…HO hydrogen bond.

Sunday, March 24th, 2019

There is a predilection amongst chemists for collecting records; one common theme is the length of particular bonds, either the shortest or the longest. A particularly baffling type of bond is that between the very electronegative F atom and an acid hydrogen atom such as that in OH. Thus short C-N…HO hydrogen bonds are extremely common, as are C-O…HO.‡ But F atoms in C-F bonds are largely thought to be inert to hydrogen bonding, as indicated by the use of fluorine in many pharmaceuticals as inert isosteres.[1] Here I do an up-to-date search of the CSD crystal structure database, which is now on the verge of accumulating 1 million entries, to see if any strong C-F…HO hydrogen bonding may have been recently discovered.

The search query uses the CF…HO distance as one variable, and the C-F-H angle as the second. The first diagram shows just intermolecular interactions, up to a distance of 2.7Å which is the sum of the van der Waals radii of the two elements. The hot spot occurs at this value, and an angle of ~95°.

The intra-molecular plot shows a similar value for the most common F…H distance, with the interesting variation that the angle subtended at F is about 80°. The outlier at the short end of the spectrum (arrow) was observed in 2014[2] with the structure shown below. It is indeed the current record holder by some margin! This length by the way is however a great deal longer than the shortest O…HO hydrogen bonds, which can be in the region of 1.2Å (with the proton sometimes symmetrically disposed between the two oxygen atoms). The value is also very similar to the record holder for the shortest C-H…H-C interaction.

It is always useful to check up on crystallographic hydrogen atom positions using a quantum calculation, so here is one at the ωB97XD/Def2-TZVPP level (Data DOI: 10.14469/hpc/5131) which replicates the values nicely.

ωB97XD/Def2-TZVPP Calculation

A QTAIM analysis of the critical points shows that the F…H BCP has a high value of ρ(r) (most hydrogen bonds only reach about 0.03 au).

NBO analysis indicates the  E(2) perturbation energy for donation from an F lone pair into the H-O σ* orbital is 21.2 kcal/mol, which indicates a strong  H-bond (typical C-O…HO values are 18-22 kcal/mol). The F…H bond order is 0.05.

This molecule has another interesting property, also noted in the original article;[2] the shift in wavenumber of the O-H stretching vibration. Most hydrogen bonds are characterised by the shift (mostly red and recently discovered blue shifts) that occurs in the OH group when it hydrogen bonds. These shifts are typically 100-200 cm-1 but in this molecule there is no shift, which is described as “exceptional”.

The 1H NMR shift of the OH proton is observed at δ 4.8 ppm, with the value calculated here (ωB97XD/Def2-TZVPP) being 4.75 ppm. A very large H-F coupling was observed of 68 Hz, again a very high value for a “through space” hydrogen bond.

So another record for the molecule makers to try to break!

‡Respectively 7142 and 31428 intermolecular (3859 and 10602 intra) examples using the same search parameters as above, with the shortest values being ~1.28 and ~1.2Å.

References

  1. S. Purser, P.R. Moore, S. Swallow, and V. Gouverneur, "Fluorine in medicinal chemistry", Chem. Soc. Rev., vol. 37, pp. 320-330, 2008. https://doi.org/10.1039/b610213c
  2. M.D. Struble, C. Kelly, M.A. Siegler, and T. Lectka, "Search for a Strong, Virtually “No‐Shift” Hydrogen Bond: A Cage Molecule with an Exceptional OH⋅⋅⋅F Interaction", Angewandte Chemie International Edition, vol. 53, pp. 8924-8928, 2014. https://doi.org/10.1002/anie.201403599

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Dispersion-induced triplet aromatisation?

Thursday, January 3rd, 2019

There is emerging interest in cyclic conjugated molecules that happen to have triplet spin states and which might be expected to follow a 4n rule for aromaticity.[1] The simplest such system would be the triplet state of cyclobutadiene, for which a non or anti-aromatic singlet state is always found to be lower in energy. Here I explore some crystal structures containing this motif for possible insights.

My search query is shown below, and the search is constrained so that the four substituents are Si, C or H.


The results show three clusters. The top left and bottom right have one long bond length ~1.6Å and the other much shorter at ~1.35Å (Δr ~0.25Å) The central region contains two examples, 2 where the difference between the two lengths is rather smaller and 1 where they are equal.

The first example 1[2] is in fact the di-anion of cyclobutadiene and as a 6π aromatic, one indeed expects the C-C bonds to be equal in length. The second 2 is tetra t-butylcyclobutadiene as reported in 1983.[3] At room temperature the two C-C bond lengths are 1.464 and 1.483Å, at -30°C, 1.466 and 1.492Å and at -150°C 1.441 and 1.526Å (Δr 0.085Å). These results led to the conclusion that this species was not intrinsically square but rectangular, as expected of singlet cyclobutadiene. The equalisation was attributed to equal populations of two disordered rectangular orientations averaging to an approximately square shape at higher temperatures.

But why is the behaviour of this particular cyclobutadiene different from the others in the plot above? Perhaps the answer lies these in the results of the Schreiner group[4], in which the dispersion attractions of substituents such as t-butyl can have substantial and often unexpected effects on the structures of molecules. So it is reasonable to pose the question; could the room temperature bond length differences of 2 be smaller compared with the other more extreme examples as a result of dispersion effects?

Here I have computed the singlet geometry of tetra t-butylcyclobutadiene at the B3LYP+D3BJ/Def2-TZVPP level (i.e. using the D3BJ dispersion correction, FAIR data DOI: 10.14469/hpc/4924). Δr for this singlet state is 0.264Å, larger than apparently from the crystal structure, but in agreement with the other crystal results as seen above.

The origins of the measured structure of 2 must be in the barrier to the automerisation of the singlet state. For normal cyclobutadienes, this must be relatively high since the transition state is presumably anti-aromatic. High enough that the averaging of the two rectangular structures is slow enough that it manifests as two different bond lengths. But in 2, as the temperature of the crystal increases, the bonds become more equal, suggesting a lower barrier to the equalisation than the other examples. This is also supported by the apparent identification of a triplet square state for the tetra-TMS analogue of tetra-tert-butyl cyclobutadiene derivative [5] which again suggests that dispersion might favour a square form over the rectangular one.

To finish, I show the crystal structure search for the 8-ring homologue of cyclobutadiene, plotted for the two adjacent C-C lengths and (in colour) the dihedral angle associated with the three atoms involved and the fourth along the ring. Cluster 1 represents various boat-shaped derivatives with very different C-C bond lengths. Cluster 2 are all ionic, and as per above represent a planar 10π-electron ring. Cluster 3 are mostly “tethered” molecules in which additional rings enforce planarity. 

COT

Unfortunately, none of these derivatives include tert-butyl or TMS derivatives in adjacent positions around the central ring. Perhaps octa(t-Bu)cyclo-octatetraene or its TMS analogue would be interesting molecules to try to synthesize!

References

  1. A. Kostenko, B. Tumanskii, Y. Kobayashi, M. Nakamoto, A. Sekiguchi, and Y. Apeloig, "Spectroscopic Observation of the Triplet Diradical State of a Cyclobutadiene", Angewandte Chemie International Edition, vol. 56, pp. 10183-10187, 2017. https://doi.org/10.1002/anie.201705228
  2. T. Matsuo, T. Mizue, and A. Sekiguchi, "Synthesis and Molecular Structure of a Dilithium Salt of the <i>cis</i>-Diphenylcyclobutadiene Dianion", Chemistry Letters, vol. 29, pp. 896-897, 2000. https://doi.org/10.1246/cl.2000.896
  3. H. Irngartinger, and M. Nixdorf, "Bonding Electron Density Distribution in Tetra‐<i>tert</i>‐butylcyclobutadiene— A Molecule with an Obviously Non‐Square Four‐Membered ring", Angewandte Chemie International Edition in English, vol. 22, pp. 403-404, 1983. https://doi.org/10.1002/anie.198304031
  4. S. Rösel, H. Quanz, C. Logemann, J. Becker, E. Mossou, L. Cañadillas-Delgado, E. Caldeweyher, S. Grimme, and P.R. Schreiner, "London Dispersion Enables the Shortest Intermolecular Hydrocarbon H···H Contact", Journal of the American Chemical Society, vol. 139, pp. 7428-7431, 2017. https://doi.org/10.1021/jacs.7b01879

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Ammonide: an alkalide formed from ammonia and resembling an electride.

Sunday, December 17th, 2017

Alkalides are anionic alkali compounds containing e.g. sodide (Na–), kalide (K–), rubidide (Rb–) or caeside (Cs–). Around 90 examples can be found in the Cambridge structure database (see DOI: 10.14469/hpc/3453  for the search query and results). So what about the ammonium analogue, ammonide (NH4–)? A quick search of Scifinder drew a blank! So here I take a look at this intriguingly simple little molecule.‡

It can be formed by adding two electrons to the ammonium cation; NH4+ + 2e ↠ NH4–. One might be encouraged to do this since the LUMO (lowest unoccupied molecular orbital, below) of the ammonium cation has A1 symmetry and so can accept two electrons without the penalty of Jahn-Teller distortions. These electrons will apparently expand the valence electron “octet” around the nitrogen from 8 to 10; a hypervalent species then?

So what are the (calculated) properties of NH4–? The energy of the now HOMO (highest occupied molecular orbital) at the ωB97XD/Def2-TZVPPD/solvent=water level is -3.6eV, a respectable electron affinity (the additional electrons are said to be bound). More insight can be obtained from the NBO analysis, which produces localized versions of the molecular orbitals. There are four equivalent NBOs, one of which is shown below.

Each is bonding along one H-N bond, mildly anti-bonding along the other three N-H bonds, but again bonding in the H-H regions! This matches the observations made earlier that when more electrons are pumped into normally valent main group molecules, they will occupy the antibonding levels. This is accompanied by a reduction in the bond orders associated with the central atom. In this case, the N-H bond orders are reduced from 0.79 to 0.602 and the total bond index at the nitrogen is reduced from 3.16 to 2.408. The bond index at hydrogen is at first sight increased from 0.79 to a surprising 1.0003, but this is explained because the H-H bond orders are 0.1328 (three for each H), which brings the H index up to 1.0. The N-H vibration (A1 symmetric) is 3466 cm-1 for NH4+  which is reduced to 2659 for NH4–.†

So it appears that adding two electrons to the ammonium cation induces H-H bonding! More insight can be obtained from an ELF analysis of the electron density basins.

The above shows four attractors (as they are called) centered at the hydrogen nuclei, with 2.053e each (4*2.053 = 8.212e). The remaining ~2e are located in basins (green) centered at two different types of attractors. One is along the axis of each N-H bond and exo to it (0.316e) and the other sits on top of any set of three hydrogens (0.103e), 1.68e in total. The value of the ELF function at the attractor is shown above. You should realize that ELF=1.0 corresponds to perfectly localized electrons (for which the kinetic energy density is zero) and ELF=0.5 would correspond to a free-electron gas. The ELF value of e.g. 0.77 is getting close to an electron gas, and in fact corresponds to what we call an electride.

So, the nitrogen valence shell electron octet is not actually exceeded! The additional two electrons in ammonide sit beyond the nitrogen, in H-H regions. Whether or not it is a viable species for detection remains to be established, but even its computed bonding properties have proved interesting and it deserves to join the alkalide family. 

Postscript

Ammonide exists in a shallow well in the potential energy surface, shown below, with the dissociation to ammonia and hydride anion being exothermic.

The intrinsic reaction coordinate shows one interesting feature at  IRC ~-1.1 which corresponds to repulsion between the hydride and the lone pair of the nitrogen atom resulting in inversion of configuration during the latter stages of the IRC.

‡FAIR data collection; 10.14469/hpc/3455. †Perhaps unsurprisingly, these values are somewhat basis set dependent. Thus a ωB97XD/Def2-QZVPPD/Water calculation gives the following values: bond index at N, 1.998, N-H bond index, 0.4995, H-H bond index 0.1689, H bond index 1.0062, total Rydberg population, 0.2738, ν(A1) 2686 cm-1. The ELF basins are H, 2.039, exo-basins 0.282 and 0.141 (total 1.692). The improved basis set better describes the diffuse regions beyond the N-H bonds.

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Elongating an N-B single bond is much easier than stretching a C-C single bond.

Tuesday, October 24th, 2017

An N-B single bond is iso-electronic to a C-C single bond, as per below. So here is a simple question: what form does the distribution of the lengths of these two bonds take, as obtained from crystal structures? 

The Conquest search query is very simple (no disorder, no errors).

When applied to the Cambridge structure database (CSD) the following two distributions are obtained. That for carbon is pretty symmetric with the peak at ~1.53Å but with rather faster decay in the region >1.6Å compared with the region <1.46Å (the latter may be caused by hyperconjugation shortening the C-C bond).

In contrast, the iso-electronic N-B distribution is more asymmetric about the peak of 1.56Å, exhibiting a long tail beyond 1.63Å, up to a value of 1.825Å.

The molecule with that longest N-B bond (1.825Å) is shown below; UWOHUK, Data DOI: 10.5517/ccwcwlp. This by the way is no crystal artefact; a calculation (ωB97XD/6-311G(d,p), Data DOI: 10.14469/hpc/3202) gives a calculated length of 1.81Å, with a N-B bond order of 0.48.

Stretching a C-C bond heterolytically requires charge separation (a relatively unfavourable process) and likewise homolytic stretching would tend to form a biradical, in effect an excited state and again not favourable. In contrast, elongating the N-B bond reduces (at least formally) any charge separation and allows this heteronuclear pair to sustain (single) bond lengths over the much wider range of ~0.4Å without requiring biradical formation.

One might wonder what other single-bonded atoms pairs give such unusually large spans in their bond length distributions.

 
 

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CH⋅⋅⋅π Interactions between methyl and carbonyl groups in proteins: a small molecule check.

Monday, May 29th, 2017

Derek Lowe highlights a recent article[1] postulating CH⋅⋅⋅π interactions in proteins. Here I report a quick check using the small molecule crystal structure database (CSD).

The search query (DOI: 10.14469/hpc/2594) is shown below.

  1. The distance refers to that between the (normalised) position of a hydrogen on a 4-coordinated carbon atom and the centroid of a carbonyl group substituted with R=C or H. 
  2. The angle is that subtended at the centroid. An approach orthogonal to the axis of the carbonyl group will have a value of 1.0 for the sine.
  3. The torsion relates to the angle between the H…centroid and C-R vectors. The absolute value is constrained to 70-110° to filter only approaches towards the π-system of the carbonyl.
  4. The search is further restricted to no disorder, no errors and R < 0.05. 

The two most interesting hits, both revealing short distances and ~orthogonal approaches to the π-system are:

Remember however that such “outliers” must always be carefully inspected. There are more numerous interactions in the region 2.4-2.6Å with a sine(angle) of >0.9 and and a close orthogonal approach to the π-system (green dots) which probably qualify for the title above. There seem many interesting but still putative small-molecule candidates for this proposed interaction postulated for proteins. 

Postscript:  Here the results of the search above with R= any of H,C,N,O,F,Cl up to values of the distance <2.4Å, which show a range of interesting (green) points.

References

  1. F.A. Perras, D. Marion, J. Boisbouvier, D.L. Bryce, and M.J. Plevin, "Observation of CH⋅⋅⋅π Interactions between Methyl and Carbonyl Groups in Proteins", Angewandte Chemie International Edition, vol. 56, pp. 7564-7567, 2017. https://doi.org/10.1002/anie.201702626

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How does carbon dioxide coordinate to a metal?

Saturday, May 6th, 2017

Mention carbon dioxide (CO2) to most chemists and its properties as a metal ligand are not the first aspect that springs to mind. Here thought I might take a look at how it might act as such.

There are up to five binding modes with one metal that one might envisage:

  1. Bonded interaction with the metal via just one oxygen atom,
  2. Bonded interaction via just the central carbon atom,
  3. Bonded interaction via the π-face of one C=O double bond,
  4. A weaker non-bonded interaction via carbon, or
  5. via oxygen.

Search queries of the Cambridge structure database (CSD) for these five modes are illustrated below (dataDOI: 10.14469/hpc/2524), with the constraints being applied to how many bonds (of unspecified type) each atom carries, along with no disorder and no errors. Thus query 1 is constrained by 1-coordination on one oxygen, and two on the carbon and other oxygen. 

  1. This query yields four hits: 10.5517/ccvcdq9, 10.5517/cc12nq6n, 10.5517/cc12nq5m, 10.5517/cc12nq4l. The angle subtended at the central carbon of the CO2 ranges from 172-176°, a very modest bending of the linear CO2. There are no examples where the metal is bonded to both oxygens.
  2. The next category involves the metal binding just to the central carbon. Two examples are known, differentiated from O-coordination by a more acute angle at the central carbon of 121-132°.
  3. The π-coordinated type requires a slightly more complex search query, shown below. The π-complex is defined as adding one coordination to each of one oxygen and the carbon. 

    This reveals 16 examples:

    The sine of the angle subtended at the centroid of one C-O bond shows that for most of the examples, the metal is close to perpendicular to this bond. The angle subtended at the central carbon ranges from 128-138, rather larger than the examples where the metal is bound just to the carbon. I have picked these two for illustration. The first (dataDOI: 10.5517/cc86r17) contains both CO2 and CO coordinated to the metal.This one (dataDOI: 10.1021/ic101652e) contains a short metal-centroid distance of 1.78Å (as also does 10.5517/ccz34kr). 

    There are two examples where BOTH π-CO bonds are coordinated to a metal; 10.5517/ccqlv7c and 10.5517/ccqlv8d (Ni-centroid distance 1.9Å) but these are intriguing because the two π-complexes are co-planar and not orthogonal.

  4. The final two cases are defined in the CSD database by having not so much bonds between metal and either C or O, as close intermolecular contacts typical of e.g. hydrogen bonds. This one (dataDOI: 10.5517/cc12nq9r) is to Fe, with a metal-C distance of 2.87Å which is significantly shorter than the anticipated sum of the van der Waals radii of the two atoms. The next (dataDOI: 10.5517/cc12npn2) has a close approach of Co to O of 2.23Å. The angles subtended at the carbon range from 174-180°. There are no convincing examples of close non-bonded approaches of the metal to both oxygen atoms simultaneously.

It is striking that the searches (as defined above) reveal relatively few examples. This might simply be a result of how the compounds are indexed in the CSD, reflected in the coordination constraints applied in the searches. Nevertheless, we see three quite different types of ligand-metal coordination in which bonds can be said to form and a more diffuse spectrum of weaker interactions to carbon dioxide. As a metal ligand, it is certainly interesting! Several deserve their wavefunctions looked at and I might report back on this aspect.

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π-Facial hydrogen bonds to alkynes (revisited): how close can an acidic hydrogen approach?

Monday, April 17th, 2017

Following on from my re-investigation of close hydrogen bonding contacts to the π-face of alkenes, here now is an updated scan for H-bonds to alkynes. The search query (dataDOI: 10.14469/hpc/2478) is similar to the previous one:

  1. QA is any of N,O,F,Cl.
  2. X is any atom, including metals and non-metals.
  3. The carbon atoms are both specified as 2-coordinate, and the C-C bond type as any.
  4. The distance is from the hydrogen (normalised) to the C-C centroid, restricted to < 2.5Å to capture just the shortest examples.
  5. The mean of the sines of the two angles subtended at the centroid is calculated to indicate whether the approach is orthogonal.
  6. The mean of the absolute value of the sines of the two angles subtended at each carbon is calculated to indicate how non-linear the  X-C-C angle is.
  7. Other constraints are no disorder, no errors and R < 0.05.

First the intermolecular hits (38). Prominent short examples include:

Entry Article DOI DataDOI H-centroid distance
NOXHAJ [1] ‡ 2.16Å
KESDAO [2]† 10.5517/CC9YHJ7† 2.11Å
ICUTAC [3] 10.5517/CC9PNSD 2.19Å

In most of the stronger examples (blue), the approach of the hydrogen is perpendicular to the C-C bond centroid (X-axis of plot above). Many however exhibit significant bending (Y-axis of plot above) from linearity at the two carbons (~173°), mostly away from the H but in some examples towards the H!

Selected entries from the intra-molecular search (34 hits) are shown below. Perhaps due to the intra-molecular nature, the angle of approach of the H is more variable than the intermolecular examples and the bending of the erstwhile X-C-C angle is again prominent. 

Entry Article DOI H-centroid distance
KIXFOO [4] 2.11Å
KEMVOP [5] 2.16Å
BEMPUF [6] 2.14Å
VEWMIV [7] 2.14Å

ωB97XD/Def2-TZVPP calculations of one intermolecular example, ICUTAC (two molecules, dataDOI: 10.14469/hpc/2482) and one intramolecular case, KIXFOO (dataDOI: 10.14469/hpc/2481). For the former, crystal packing compressions perhaps provide some shortening of the hydrogen bond and the molecule also includes an example of a short C-H to π interaction (obs[3] 2.63Å).

What is noticeable from reading the abstracts of the articles cited above is that these hydrogen bonds are rarely commented upon by the authors and it does seem that most of these close contacts are serendipitous (they were not designed). All are somewhat longer than the shortest distances encountered for alkenes and it would be interesting to establish if this is an intrinsic property of the triple bond or whether less effort has hitherto been expended on designing closer approaches.

‡ Not all entries have an assigned dataDOI at CCDC.

†CrossRef DOIs here are collected as a citation at the bottom of the post using the WordPress KCite plugin. Unfortunately for a few months now, this plugin has stopped recognising DataCite DOIs, which is why here they are treated differently from CrossRef DOIs. This is purely a current attribute of the KCite plugin and does not imply any fundamental difference in the two types of DOI, other than one tends to be used as persistent identifiers of journal articles and the other of datasets.

References

  1. M. Akita, M. Chung, A. Sakurai, S. Sugimoto, M. Terada, M. Tanaka, and Y. Moro-oka, "Synthesis and Structure Determination of the Linear Conjugated Polyynyl and Polyynediyl Iron Complexes Fp*−(C⋮C)<i><sub>n</sub></i>−X (X = H (<i>n</i>= 1, 2); X = Fp* (<i>n</i>= 1, 2, 4); Fp* = (η<sup>5</sup>-C<sub>5</sub>Me<sub>5</sub>)Fe(CO)<sub>2</sub>)<sup>1</sup>", Organometallics, vol. 16, pp. 4882-4888, 1997. https://doi.org/10.1021/om970538m
  2. J. Forniés, S. Fuertes, A. Martín, V. Sicilia, E. Lalinde, and M.T. Moreno, "Homo‐ and Heteropolynuclear Platinum Complexes Stabilized by Dimethylpyrazolato and Alkynyl Bridging Ligands: Synthesis, Structures, and Luminescence", Chemistry – A European Journal, vol. 12, pp. 8253-8266, 2006. https://doi.org/10.1002/chem.200600139
  3. R. Banerjee, R. Mondal, J.A.K. Howard, and G.R. Desiraju, "Synthon Robustness and Solid-State Architecture in Substituted <i>g</i><i>em</i>-Alkynols", Crystal Growth & Design, vol. 6, pp. 999-1009, 2006. https://doi.org/10.1021/cg050598s
  4. B. Xu, K. Bussmann, R. Fröhlich, C.G. Daniliuc, J.G. Brandenburg, S. Grimme, G. Kehr, and G. Erker, "An Enamine/HB(C<sub>6</sub>F<sub>5</sub>)<sub>2</sub> Adduct as a Dormant State in Frustrated Lewis Pair Chemistry", Organometallics, vol. 32, pp. 6745-6752, 2013. https://doi.org/10.1021/om4004225
  5. M.J. Pouy, S.A. Delp, J. Uddin, V.M. Ramdeen, N.A. Cochrane, G.C. Fortman, T.B. Gunnoe, T.R. Cundari, M. Sabat, and W.H. Myers, "Intramolecular Hydroalkoxylation and Hydroamination of Alkynes Catalyzed by Cu(I) Complexes Supported by <i>N</i>-Heterocyclic Carbene Ligands", ACS Catalysis, vol. 2, pp. 2182-2193, 2012. https://doi.org/10.1021/cs300544w
  6. R.D. Dewhurst, A.F. Hill, and M.K. Smith, "Heterobimetallic C<sub>3</sub> Complexes through Silylpropargylidyne Desilylation", Angewandte Chemie International Edition, vol. 43, pp. 476-478, 2004. https://doi.org/10.1002/anie.200352693
  7. T. Holtrichter-Rößmann, C. Rösener, J. Hellmann, W. Uhl, E. Würthwein, R. Fröhlich, and B. Wibbeling, "Generation of Weakly Bound Al–N Lewis Pairs by Hydroalumination of Ynamines and the Activation of Small Molecules: Phenylethyne and Dicyclohexylcarbodiimide", Organometallics, vol. 31, pp. 3272-3283, 2012. https://doi.org/10.1021/om3001179

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π-Facial hydrogen bonds to alkenes (revisited): how close can an acidic hydrogen approach?

Saturday, April 15th, 2017

Back in the early 1990s, we first discovered the delights of searching crystal structures for unusual bonding features.[1] One of the first cases was a search for hydrogen bonds formed to the π-faces of alkenes and alkynes. In those days the CSD database of crystal structures was a lot smaller (<80,000 structures; it’s now ten times larger) and the search software less powerful. So here is an update. 

The search query (dataDOI:10.14469/hpc/2473) is shown below:

  1. A mid-point (centroid) of a C-C bond (of any type) is defined, but the carbons are each restricted to being 3-coordinate, with the substituents R being either C or H.
  2. The distance to a hydrogen (attached to group QA, where QA is any one of N,O,F,Cl, i.e. acidic H) is defined.
  3. The properties of the alkene are defined by the sines of the two angles subtended at the centroid. This defines how perpendicular the QA-H hydrogen bond is to the C-C bond.
  4. Four torsions R-C-centroid-H are defined by their sines. The mean of the absolute values of these will define how orthogonal the approach of the hydrogen to the π-π plane is.
  5. Further constraints in the search are no disorder, no errors, R < 0.05,  the H atom position is normalised and this position is defined as being <2.5Å from the C-C bond centroid, which is ~0.3Å < the sum of the van der Waals values for C and H.

The first search is limited to intermolecular contacts between the C-C bond and the H and reveals that for most of the 18 hits, the H approach is close to perpendicular to the centroid but the inclination to the π-π plane is more scattered. The most interesting (shortest H…centroid contact of ~2.22Å, orthogonal approach) can be inspected as KANYAA (dataDOI: 10.5517/CC8JRQ7). 
When the search is repeated for intramolecular contacts, rather shorter distances are obtained for 88 hits and with more variation in the angles of approach. The most interesting candidate (blue dots) is IGELAJ[2] (dataDOI: 10.5517/CC14PBW1 ) which has the very short intramolecular H approach of 1.90Å to the C-C centroid corresponding to ~2.04Å to the carbons,  a contraction of ~0.8Å from the van der Waals sum.

The authors remarked[2]  “that it possesses a better defined intramolecular hydrogen bond compared to the usual molecules for which it is noted“. They also note JOCQEX, which is present in the above plot, but for which there is  a non-orthogonal approach of the hydrogen bond to the π-π plane. The authors do not mention TIBCUD[3] (dataDOI: 10.5517/CCPL0FP), which has a similar close approach of 1.92Å to the C-C centroid, but at an angle inclined to the C-C axis.

IGELAJ, as an intramolecular H-bond, was amenable to calculation of its geometry and properties (inter-molecular interactions would ideally require the periodic lattice to be computed), with the observation[3] that “another test was to compare the energy calculation of IGELAJ to a non-hydrogen-bound version where the OH bond is rotated 180°” and “the results predict IGELAJ to be 7.30 kcal more stable than the non-hydrogen-bound version”. This value,  if correct,  is indeed typical of a very strong hydrogen bond!

Pedant (curious?) as I am, I wanted to be clear what kind of calculated energy was being reported. Was it the difference in total energies, or the energies corrected for ZPE (zero-point-energy) as ΔH or the free energies for which entropy is included as ΔG? The article[3] itself is unclear on this aspect and no energies are reported in the  supporting information. This is an illustration that “supporting information” in most current incarnations may often not provide crucial information; only a full deposition as the management of research (RDM) of FAIR data can provide. This process is illustrated for my own calculations of this system (ωB97XD/Def2-TZVPP, dataDOIs: 10.14469/hpc/2474, 10.14469/hpc/2475), which reveals that  ΔG298 4.8 kcal/mol and ν 3761 cm-1. In comparison when the OH bond is rotated 180° the wavenumber goes up 3956 cm-1, a difference of 195 cm-1 is calculated, which is indeed a large red-shift. But the “non-hydrogen-bound version where the OH bond is rotated 180°” is not a valid reference point for a non-hydrogen bonded isomer, since it manifests instead as a transition state for OH rotation with νi 166 cm-1, there being no minimum other than the π-facially hydrogen bonded one (dataDOI: 10.14469/hpc/2476). So, for the lack of a suitable reference system, we cannot conclude what the strength of this particular hydrogen bond is, nor make any conclusions about it being unusually strong.

So IGELAJ holds the current record for the shortest π-facial hydrogen bond to an alkene, but not necessarily the strongest! I wonder if this record might be broken with the aid of further computational design and prediction?

References

  1. H.S. Rzepa, M.H. Smith, and M.L. Webb, "A crystallographic AM1 and PM3 SCF-MO investigation of strong OH ⋯π-alkene and alkyne hydrogen bonding interactions", J. Chem. Soc., Perkin Trans. 2, pp. 703-707, 1994. https://doi.org/10.1039/p29940000703
  2. M.D. Struble, M.G. Holl, G. Coombs, M.A. Siegler, and T. Lectka, "Synthesis of a Tight Intramolecular OH···Olefin Interaction, Probed by IR,<sup>1</sup>H NMR, and Quantum Chemistry", The Journal of Organic Chemistry, vol. 80, pp. 4803-4807, 2015. https://doi.org/10.1021/acs.joc.5b00470
  3. B. Ndjakou Lenta, K.P. Devkota, B. Neumann, E. Tsamo, and N. Sewald, "4-(1,1-Dimethylprop-2-enyl)-1,3,5-trihydroxy-2-(3-methylbut-2-enyl)-9<i>H</i>-xanthen-9-one", Acta Crystallographica Section E Structure Reports Online, vol. 63, pp. o1629-o1631, 2007. https://doi.org/10.1107/s1600536807009907

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The π-π stacking of aromatic rings: what is their closest parallel approach?

Thursday, April 13th, 2017

Layer stacking in structures such as graphite is well-studied. The separation between the π-π planes is ~3.35Å, which is close to twice the estimated van der Waals (vdW) radius of carbon (1.7Å). But how much closer could such layers get, given that many other types of relatively weak interaction such as hydrogen bonding can contract the vdW distance sum by up to ~0.8Å or even more? This question was prompted by the separation calculated for the ion-pair cyclopropenium cyclopentadienide (~2.6-2.8Å).

The search query for the Cambridge structure database is shown below.


The query (dataDOI: 10.14469/hpc/2471) defines centroids for two benzenoid rings, both comprising only 3-coordinated carbons. The sine of an angle subtended at each centroid to the other and to one ring carbon attempts to track how parallel the two rings are (strictly speaking, 12 such angles should be included). If the sines of both angles are 1.00, then the two centroids overlap orthogonally. A search constrained to no disorder, no errors and R < 0.05 reveals 1107 hits at a centroid-centroid distance of < 3.5Å. The colour code (red) indicates the distances in the range 3.4-3.5Å, which matches that of graphite, while distances down to 3.2Å (yellow-green) are not uncommon. 

Here is another way of representing these results, in which the centroid-centroid distances (measured from the positions of 12 carbon atoms and hence statistically more reliable than any individual atom pair distance) are multiplied by either sin(ANGa) or sin(ANGb). The number of occurrences with distances < 3.2Å is less than 32 (out of 1107).

Taking a look at some of these outliers, PAZJEG has two entries, one with a short distance (dataDOI: 10.5517/ccsffzl) and one with a normal distance[1], which does tend to cast doubt on the former.

ZOMSEB[2], DataDOI: 10.5517/CCZS2MF) appears to have the planes of the molecules stacked ~2.5Å apart.

OXUDES02[cite10.1016/j.poly.2016.09.046[/cite], DataDOI: 10.5517/CCDC.CSD.CC1MBBFQ) has a separation of ~2.6Å.

Verifying these and other outliers would require expert inspection of the crystallographic data and its refinement. This might require access to the hkl  structure factors, data which are now being “strongly encouraged”‡ for deposition with the CSD, but which are not present for most structures deposited before ~2016. In extreme cases, the original diffraction images collected by the cameras would allow for a fully independent re-analysis, data which however is rarely if ever deposited.

So the separation of π-π stacked six-membered benzenoid rings is only infrequently less than ~3.2Å in measured crystal structures. There are hints it might reach as short as ~2.6Å, but  such examples with values significantly less than 3.2Å do require expert validation before they can be called real. 

‡See structuredepositioninformation/ “We strongly encourage data to be deposited either with imbedded structure factor data or with an associated FCF or HKL structure factor file.”

References

  1. J. Rogan, D. Poleti, and L. Karanović, "Synthesis, Structure, and Thermal Properties of Two New Inorganic‐organic Framework Compounds: Hexaaqua(<i>μ</i><sub>2</sub>‐1,2,4,5‐benzenetetracarboxylato)‐bis(<i>N</i>,<i>N′</i>‐1,10‐phenathroline)dicobalt(II) Dihydrate and Hexaaqua(<i>μ</i><sub>2</sub>‐1,2,4,5‐benzenetetracarboxylato)‐bis(<i>N</i>,<i>N′</i>‐2,2′‐dipyridylamine)dinickel(II) Tetrahydrate", Zeitschrift für anorganische und allgemeine Chemie, vol. 632, pp. 133-139, 2005. https://doi.org/10.1002/zaac.200500292
  2. P. Das, C.K. Jain, S.K. Dey, R. Saha, A.D. Chowdhury, S. Roychoudhury, S. Kumar, H.K. Majumder, and S. Das, "Synthesis, crystal structure, DNA interaction and in vitro anticancer activity of a Cu(<scp>ii</scp>) complex of purpurin: dual poison for human DNA topoisomerase I and II", RSC Adv., vol. 4, pp. 59344-59357, 2014. https://doi.org/10.1039/c4ra07127a

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The conformation of enols: revealed and explained.

Thursday, April 6th, 2017

Enols are simple compounds with an OH group as a substituent on a C=C double bond and with a very distinct conformational preference for the OH group. Here I take a look at this preference as revealed by crystal structures, with the theoretical explanation.

First, a search of the Cambridge structure database (CDS), using the search query shown below (DOI: 10.14469/hpc/2429)


The first search (no errors, no disorder, R < 0.05) is unconstrained in the sense that the HO group is free to hydrogen bond itself. The syn conformer has the torsion of 0° and it has a distinct preponderance over the anti isomer (180°). There is the first hint that the most probable C=C distance for the syn isomer may be longer than that for the anti, but this is not yet entirely convincing.
To try to make it so, a constrained search is now performed, in which only structures where the HO group has no contact (hydrogen bonding) interaction are included. This is achieved using a “Boolean” search;

The number of hits approximately halves, but the proportion of syn examples increases considerably. There is an interesting double “hot-spot” distribution, which amplifies the lengthening of the C=C bond compared to the anti orientation.

The next constraint added is that the data collection must be <100K (to reduce thermal noise) which reduces the hits considerably but now shows the lengthening of the C=C bond for the syn isomer very clearly.

A final plot is of the C=C length vs the C-O length (no temperature, but HO interaction constraint). If there were no correlation, the distribution would be ~circular. In fact it clearly shows that as the C=C bond lengthens, the C-O bond contracts.

Now for some calculations (ωB97XD/Def2-TZVPP, DOI: 10.14469/hpc/2429) which reveal the following:

  1. The free energy of the syn isomer is 1.2 kcal/mol lower than that of the syn. The effect is small, and hence easily masked by other interactions such as hydrogen bonding to the OH group. Hence the reason why removing such interactions from the search above increased the syn population compared to anti.
  2. The syn C=C bond length (1.325Å) is longer than the anti (1.322Å). 
  3. The syn isomer has one unique σO-Lp/σ*C-C NBO orbital interaction (below) with a value of E(2) 7.7 kcal/mol, which is absent in the anti form. As it happens, a πO/π*C=C interaction is present in both forms but is also stronger in the syn isomer (E(2)= 46.8 vs 44.2 kcal/mol).
    unoccupied NBO, σ*C-C
    Occupied NBO, σO-Lp
  4. The overlap of the filled σO-Lp with the empty σ*C-C orbital is shown below (blue overlaps with purple, red overlaps with orange).

    To view the overlap in rotatable 3D, click on any of the colour diagrams above.‡

It is nice to see how experiment (crystal structures) and theory (the calculation of geometries and orbital interactions) can quickly and simply be reconciled. Both these searches and the calculations can be done in just one day of “laboratory time” and I think it would make for an interesting undergraduate chemistry lab experiment.

‡ This visualisation uses Java. Increasingly this browser plugin is becoming more onerous to activate (because of increased security) and some browsers do not support it at all. The macOS Safari browser is one that still does, but you do have to allow it via the security permissions.

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