Posts Tagged ‘Ligand’

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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What’s in a name? Carbenes: a reality check.

Sunday, September 11th, 2016

To quote from Wikipedia: in chemistry, a carbene is a molecule containing a neutral carbon atom with a valence of two and two unshared valence electrons. The most ubiquitous type of carbene of recent times is the one shown below as 1, often referred to as a resonance stabilised or persistent carbene. This type is of interest because of its ability to act as a ligand to an astonishingly wide variety of metals, with many of the resulting complexes being important catalysts. The Wiki page on persistent carbenes shows them throughout in form 1 below, thus reinforcing the belief that they have a valence of two and by implication six (2×2 shared + 2 unshared) electrons in the valence shell of carbon. Here I consider whether this name is really appropriate.

carbenes

Let us start by counting the electrons in the 2p atomic orbitals on the ring atoms of 1, forming what we call a π-system. There are six; two from the carbons shown connected by a double bond, C=C and a further four from the two nitrogen lone pairs. Now in benzene, we also have six π-electrons in a ring and this molecule is of course famously aromatic due to the diatropic ring current created by the circulation of these six electrons. Moreover, all the C-C bonds are equal in length, ~1.4Å long (although the reasons for this equality are subtle).

So does 1 behave similarly? A ωB97XD/Def2-TZVPP calculation[1] shows the following calculated structure, in which all the bonds are clearly intermediate between single and double. The N-C(“carbene”) length of 1.357Å in particular is much shorter than a C-N single bond (~1.44AÅ), which tends to suggest that the resonance form 2 is a better representation than 1. This form is also pretty similar to pyrrole, itself a well-known hetero-aromatic species.nhc1

An alternative reality check is crystal structures. There are 42 examples (no errors, no disorder, R < 0.05) in the Cambridge structure database (CSD) and the distribution of C-N bond lengths below is indeed quite similar to the calculation shown above for the unsubstituted parent, with the lhs “hot-spot” almost exactly coincident. The C-C length similarly corresponds.

nhc2

nhc3

Let us try a technique for explicitly counting electrons, the ELF (electron localisation method), which works directly on a function of the electron density to identify the centroids of localized “basins” containing the integrated density. The three surrounding the “carbene” atom sum to 7.54e (with small seepage also into the carbon 1s core; 2.08e). A “normal” carbon on the C=C bond is 7.65e. The localization below turns out to closely resemble resonance structure 2 above.

nhc4

Further in-silico experiments can be carried out with species 3 and 4, in which a carbon atom replaces each of the nitrogens. This reduces the total electron count by two and now this poor molecule has a difficult choice to make. Should it be the π-system that sacrifices these two electrons, or could it be the σ-lone-pair found on the two-coordinate carbon? We will let the quantum mechanical solution decide[2] (with a constraint that the molecule be planar). The electrons arrange themselves to resemble the resonance form 4, choosing to retain the six π-electrons and sacrifice the carbene “unshared pair”. The 2-coordinate carbon as a vinyl cation now does have ~6 valence electrons (ELF indicates 5.23e). nhc5

What about the other choice? By promoting two electrons from HOMO to LUMO one can also calculate 3 (again constrained to planarity)[3] which finally does correspond to the classical description of a carbene.

nhc6

The arrow connecting 3 and 4 in the scheme at the top is NOT in this case an electronic resonance, but a a real equilibrium between two different species separated by an energy barrier. With only four π-electrons in a cycle it is also antiaromatic, and so the two localised alkene bonds avoid any conjugation with each other. This form has a free energy some 5.7 kcal/ml higher than the aromatic form. In fact, the molecule is very keen to avoid all antiaromaticity and hence if the planar constraint is lifted, it will distort with no activation to a non-planar diene (just as cyclo-octatetraene does to a non-planar tetra-ene). And to complete the tale, even though 4 is aromatic, it too distorts without activation to an odd-looking non-planar form with no symmetry[4],[5],[6] (but that is another story).

The final word should be that the naming of these types of persistent carbene does need a reality check; they should not be called this at all! They are really dipolar species or carbon-ylides as shown in 2. As it happens, a very closely related species in which one sulfur replaces one nitrogen is a very familiar compound, vitamin B1 or thiamine. The only example of a stable deprotonated thiamine derivative is referred to as a carbene[7], perhaps because with an acid catalyst it can dimerise in the manner expected of a real carbene. Significantly however, without acid catalyst this does not happen; a true carbene would not require such a catalyst.

References

  1. H. Rzepa, "NHC wfn", 2016. https://doi.org/10.14469/hpc/1473
  2. H. Rzepa, "butadiene carbene aromatic -192.700746", 2016. https://doi.org/10.14469/hpc/1581
  3. H. Rzepa, "butadiene carbene antiaromatic guess=alter -192.691607", 2016. https://doi.org/10.14469/hpc/1582
  4. H. Rzepa, "C5H4 non-planar, Cs symmetry", 2016. https://doi.org/10.14469/hpc/1583
  5. H. Rzepa, "C5H4 non-planar, C2 symmetry", 2016. https://doi.org/10.14469/hpc/1584
  6. H. Rzepa, "C5H4 non-planar, no symmetry", 2016. https://doi.org/10.14469/hpc/1585
  7. A.J. Arduengo, J.R. Goerlich, and W.J. Marshall, "A Stable Thiazol‐2‐ylidene and Its Dimer", Liebigs Annalen, vol. 1997, pp. 365-374, 1997. https://doi.org/10.1002/jlac.199719970213

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What's in a name? Carbenes: a reality check.

Sunday, September 11th, 2016

To quote from Wikipedia: in chemistry, a carbene is a molecule containing a neutral carbon atom with a valence of two and two unshared valence electrons. The most ubiquitous type of carbene of recent times is the one shown below as 1, often referred to as a resonance stabilised or persistent carbene. This type is of interest because of its ability to act as a ligand to an astonishingly wide variety of metals, with many of the resulting complexes being important catalysts. The Wiki page on persistent carbenes shows them throughout in form 1 below, thus reinforcing the belief that they have a valence of two and by implication six (2×2 shared + 2 unshared) electrons in the valence shell of carbon. Here I consider whether this name is really appropriate.

carbenes

Let us start by counting the electrons in the 2p atomic orbitals on the ring atoms of 1, forming what we call a π-system. There are six; two from the carbons shown connected by a double bond, C=C and a further four from the two nitrogen lone pairs. Now in benzene, we also have six π-electrons in a ring and this molecule is of course famously aromatic due to the diatropic ring current created by the circulation of these six electrons. Moreover, all the C-C bonds are equal in length, ~1.4Å long (although the reasons for this equality are subtle).

So does 1 behave similarly? A ωB97XD/Def2-TZVPP calculation[1] shows the following calculated structure, in which all the bonds are clearly intermediate between single and double. The N-C(“carbene”) length of 1.357Å in particular is much shorter than a C-N single bond (~1.44AÅ), which tends to suggest that the resonance form 2 is a better representation than 1. This form is also pretty similar to pyrrole, itself a well-known hetero-aromatic species.nhc1

An alternative reality check is crystal structures. There are 42 examples (no errors, no disorder, R < 0.05) in the Cambridge structure database (CSD) and the distribution of C-N bond lengths below is indeed quite similar to the calculation shown above for the unsubstituted parent, with the lhs “hot-spot” almost exactly coincident. The C-C length similarly corresponds.

nhc2

nhc3

Let us try a technique for explicitly counting electrons, the ELF (electron localisation method), which works directly on a function of the electron density to identify the centroids of localized “basins” containing the integrated density. The three surrounding the “carbene” atom sum to 7.54e (with small seepage also into the carbon 1s core; 2.08e). A “normal” carbon on the C=C bond is 7.65e. The localization below turns out to closely resemble resonance structure 2 above.

nhc4

Further in-silico experiments can be carried out with species 3 and 4, in which a carbon atom replaces each of the nitrogens. This reduces the total electron count by two and now this poor molecule has a difficult choice to make. Should it be the π-system that sacrifices these two electrons, or could it be the σ-lone-pair found on the two-coordinate carbon? We will let the quantum mechanical solution decide[2] (with a constraint that the molecule be planar). The electrons arrange themselves to resemble the resonance form 4, choosing to retain the six π-electrons and sacrifice the carbene “unshared pair”. The 2-coordinate carbon as a vinyl cation now does have ~6 valence electrons (ELF indicates 5.23e). nhc5

What about the other choice? By promoting two electrons from HOMO to LUMO one can also calculate 3 (again constrained to planarity)[3] which finally does correspond to the classical description of a carbene.

nhc6

The arrow connecting 3 and 4 in the scheme at the top is NOT in this case an electronic resonance, but a a real equilibrium between two different species separated by an energy barrier. With only four π-electrons in a cycle it is also antiaromatic, and so the two localised alkene bonds avoid any conjugation with each other. This form has a free energy some 5.7 kcal/ml higher than the aromatic form. In fact, the molecule is very keen to avoid all antiaromaticity and hence if the planar constraint is lifted, it will distort with no activation to a non-planar diene (just as cyclo-octatetraene does to a non-planar tetra-ene). And to complete the tale, even though 4 is aromatic, it too distorts without activation to an odd-looking non-planar form with no symmetry[4],[5],[6] (but that is another story).

The final word should be that the naming of these types of persistent carbene does need a reality check; they should not be called this at all! They are really dipolar species or carbon-ylides as shown in 2. As it happens, a very closely related species in which one sulfur replaces one nitrogen is a very familiar compound, vitamin B1 or thiamine. The only example of a stable deprotonated thiamine derivative is referred to as a carbene[7], perhaps because with an acid catalyst it can dimerise in the manner expected of a real carbene. Significantly however, without acid catalyst this does not happen; a true carbene would not require such a catalyst.

References

  1. H. Rzepa, "NHC wfn", 2016. https://doi.org/10.14469/hpc/1473
  2. H. Rzepa, "butadiene carbene aromatic -192.700746", 2016. https://doi.org/10.14469/hpc/1581
  3. H. Rzepa, "butadiene carbene antiaromatic guess=alter -192.691607", 2016. https://doi.org/10.14469/hpc/1582
  4. H. Rzepa, "C5H4 non-planar, Cs symmetry", 2016. https://doi.org/10.14469/hpc/1583
  5. H. Rzepa, "C5H4 non-planar, C2 symmetry", 2016. https://doi.org/10.14469/hpc/1584
  6. H. Rzepa, "C5H4 non-planar, no symmetry", 2016. https://doi.org/10.14469/hpc/1585
  7. A.J. Arduengo, J.R. Goerlich, and W.J. Marshall, "A Stable Thiazol‐2‐ylidene and Its Dimer", Liebigs Annalen, vol. 1997, pp. 365-374, 1997. https://doi.org/10.1002/jlac.199719970213

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The geometries of 5-coordinate compounds of group 14 elements.

Monday, May 30th, 2016

This is a follow-up to one aspect of the previous two posts dealing with nucleophilic substitution reactions at silicon. Here I look at the geometries of 5-coordinate compounds containing as a central atom 4A = Si, Ge, Sn, Pb and of the specific formula C34AO2 with a trigonal bipyramidal geometry. This search arose because of a casual comment I made in the earlier post regarding possible cooperative effects between the two axial ligands (the ones with an angle of ~180 degrees subtended at silicon). Perhaps the geometries might expand upon this comment?

The search query is shown above results in 394 hits (May 2016) and is presented with the three variables in the query plotted as below, with the O-4A-O angle indicated by colour (red ~ 180°; blue ~90° and green ~120°).

  1. The cluster at distances of 4A-O of ~1.9Å represents silicon compounds, and tends to suggest that the pair of distances 4A-O are quite similar in value. The angles correspond to a di-axial arrangement around the silicon. In this scenario, one might imagine a stereoelectronic effect similar to the anomeric effect when 4A = C operates and which has the potential to strengthen both di-axial oxygens.
  2. The bulk of the points come at higher 4A-O distances of > 2.1Å and consist mostly of 4A = Sn. There are two a clear-cut distributions, one for angles of ~180° and a separate one for angles of ~90° and both are qualitatively different from the Si distribution. The 180° set corresponds to a di-axial arrangement for the oxygens, whereas the 90° set suggests an axial-equatorial geometry. Both distributions have prominent tails which reveal that as one 4A-O distance shortens, the other lengthens, equivalent to asymmetric anomeric effects at  O-C-O.
  3. Noticeably absent are any green points; these would correspond to bond angles of ~120° and hence would correspond to di-equatorial ligands.

This quick exploration (with potential variations that I have not explored above) can be added to the collection of “ten minute explorations” I have described elsewhere.[1]

References

  1. H.S. Rzepa, "Discovering More Chemical Concepts from 3D Chemical Information Searches of Crystal Structure Databases", Journal of Chemical Education, vol. 93, pp. 550-554, 2015. https://doi.org/10.1021/acs.jchemed.5b00346

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Deviations from tetrahedral four-coordinate carbon: a statistical exploration.

Sunday, September 6th, 2015

An article entitled “Four Decades of the Chemistry of Planar Hypercoordinate Compounds“[1] was recently reviewed by Steve Bacharach on his blog, where you can also see comments. Given the recent crystallographic themes here, I thought I might try a search of the CSD (Cambridge structure database) to see whether anything interesting might emerge for tetracoordinate carbon.

The search definition is shown below using a  simple carbon with four ligands,‡ the ligands themselves also being tetracoordinate carbon. The search is restricted to data collected below temperatures of 140K, as well as R-factor <5%, no errors and no disorder. Cyclic species are allowed and a statistically reasonable 2773 hits emerged from the search.

Scheme

Recollect that the idealised angle subtended at the centre is 109.47°. I show below three separate heat plots of the search results. Why three? The way the search software (Conquest) works is that one could define four C-C distances and six angles, and then plot any combination of one distance and one angle. I show just three combinations here, but could have included many more.

There appear to be four distinct clusters of values for this angle that emerge from the three plots shown below (the “bin size” is 100, and the frequency colour code indicates how many hits there are in each bin).

  1. The hotspot is unsurprisingly ~109° with a corresponding C-C distance of ~1.54Å.
  2. There may be two clusters at angles of ~60° (cyclopropane), with C-C values ranging from ~1.47 to ~1.55Å.
  3. A collection at ~90° (mostly cyclobutane?), with C-C values up to 1.6Å.
  4. A collection at ~140° (again small rings), now with much shorter C-C values of ~1.46Å. This reminds of the approximation that the hybridisation in e.g. cyclopropane is a combination of sp5 and sp3.

Scheme

Scheme

Scheme

Ideally, what one might want to plot would be sums of four angles; for a pure tetrahedral carbon the sum would always be 438° (4*109.47°) but for a pure planar carbon it could be as low as 360° (4*90°). One could then see how closely the distribution approaches to the latter and hence reveal whether there are any true planar tetracoordinate carbon species known. Although the Conquest software cannot analyse in such terms, a Python-based API has recently been released that should allow this to be done, although I should state that this requires a commercial license and it is not open access code. If we manage to get it working, I will report!

‡As a teaser I also include a plot of six-coordinate carbon, in which the ligands can be any non-metal. Note the clusters at angles of 60, ~112 and ~120-130°. It is worth pointing out that the definition of the connection between a carbon and a ligand as a “bond” becomes increasingly arbitrary as the coordination becomes “hyper”. Because crystallography does not measure electron densities in “bonds”, we know nothing of its topology in this region. It is therefore quite possible that the appearance of the heat plot below might be related just as much to whatever convention is being used in creating the entry in the CSD as it would be to a quantum analysis of the bonding.

Scheme

References

  1. L. Yang, E. Ganz, Z. Chen, Z. Wang, and P.V.R. Schleyer, "Four Decades of the Chemistry of Planar Hypercoordinate Compounds", Angewandte Chemie International Edition, vol. 54, pp. 9468-9501, 2015. https://doi.org/10.1002/anie.201410407

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