Posts Tagged ‘Hypervalency’

Multi-centre bonding in the Grignard Reagent

Tuesday, December 1st, 2009

The Grignard reaction is encountered early on in most chemistry courses, and most labs include the preparation of this reagent, typically by the following reaction:

2PhBr + 2Mg → 2PhMgBr ↔ MgBr2 + Ph2Mg

The reagent itself exists as part of an equilibrium, named after Schlenk, in which a significant concentration of a dialkyl or diarylmagnesium species is formed. The topic of this blog entry is to analyse the structure and bonding in this latter species.

First, the structure is shown below (for 2,6-diethylphenyl magnesium). This reveals a dimeric structure with a four membered ring core, comprising two  Mg atoms  connected by two bridging  aryl groups.

The crystal structure of a di-aryl magnesium. Click to view 3D

The crystal structure of a di-aryl magnesium. Click to view 3D

The question to be addressed here is the nature of the aryl groups. Put simply, it seems as if their bridging role means that one of the six carbons involved in the benzene ring has become sp3 hybridized. This would in turn mean that the cyclic conjugation of the benzene ring is interrupted, and a species akin to the Wheland intermediate is formed in which the aromaticity of two of the benzene rings is no longer sustained. This situation could be depicted thus;

A Simple bonding representation in  Ph2Mg dimer

A Simple bonding representation in Ph2Mg dimer

Is this really the best way of depicting the bonding in this species? A more subtle analysis of the bonding can be achieved using a technique known as ELF (involving analysis of the electron localization function). This reveals bonds as so-called synaptic basins, which come in two varieties; disynaptic basins corresponding to two-centre bonds, and trisynaptic basins which reveal three-centre bonds (there is also a monosynaptic basin which corresponds to electron lone pairs). Such an ELF analysis (based on a B3LYP/6-311G(d,p) computed wavefunction for Ph2Mg dimer) is shown below;

ELF analysis of the bonding in Ph2Mg dimer

ELF analysis of the bonding in Ph2Mg dimer. Click for 3D model

The small purple dots represent synaptic basins. Several of these are circled. The  ones circled in orange are conventional disynaptic forms, and the basins can be integrated to to 2.48 electrons each. The red basin however is clearly revealed as a trisynaptic form (covering both metal centres and the carbon) and integrating to  2.7 electrons. The  three basins surrounding each Mg atom integrate to 7.91 electrons, which reveal the metal to have a conventional octet of electrons in its valence shell. The bonding in the central region could therefore be described as comprising two three-centre-three-electron bonds. The key aspect of this is that the two bridging phenyl groups do not break their aromaticity, ie all four phenyl/aryl groups largely retain their aromaticity! Thus the disynaptic basins for  the normal non-bridging phenyl group and  circled in green integrates to 2.6 electrons and the blue to 2.8 (an ideal aromatic bond would of course integrate to 3.0 electrons), whereas the equivalent basins for the bridging phenyl (brown and purple, 2.5 and  2.8) are virtually the same.

It is interesting how a veritable mainstay of most taught chemistry courses, the Grignard reagent,  can have such subtle aspects of the bonding surrounding both the metal atom and the aromatic groups, and how rarely this bonding is actually dissected in most text books.

Hypervalency: a reality check

Monday, October 5th, 2009

We have seen in the series of posts on the topic of hypervalency how the first row main group elements such as Be, B, C and N can sustain apparent hypercoordination and arguably hypervalency. The latter is defined not so much by expanding the total valence shell of electrons surrounding the hypervalent atom beyond eight, but in having more than four well defined bonds to it, as quantified by  AIM and ELF analysis. The previous post made the suggestion of how a compound involving hypervalent boron could also sustain a genuine  bond to the rare gas helium. It is surely time to seek evidence that this type of bonding can be sustained in reality. Fortunately, a crystal structure of a reasonably analogous compound IS available (DOI: 10.1016/0022-328X(94)05089-T).

YOCVIV: Crystal structure of hexacoordinate boron

YOCVIV: Crystal structure of hexacoordinate boron. Click for 3D

AIM analysis for  YOCVIV

AIM analysis for YOCVIV

The AIM analysis shows five bond critical points in the B-C regions and one in the B-Br region. with ρ(r) values of 0.121 and 0.146 respectively. The corresponding ∇2ρ values were -0.07 and -0.22. These BCPs are matched by equally well defined disynaptic basins in the ELF analysis with electron populations of respectively 0.67 and 2.1 electrons. This compares with ρ(r) values of 0.157 and 0.069, and ELF integrations of 1.22 and 2.0 calculated for the structurally similar proposed B-He compound.

ELF analysis for YOCVIV

ELF analysis for YOCVIV. Click for 3D

The analogy is sufficiently similar to suggest that (in this case boron) hypervalency for such first row main group elements can be reflected in real systems.

Uncompressed Monovalent Helium

Saturday, October 3rd, 2009

Quite a few threads have developed in this series of posts, and following each leads in rather different directions. In this previous post the comment was made that coordinating a carbon dication to the face of a cyclopentadienyl anion resulted in a monocation which had a remarkably high proton affinity. So it is a simple progression to ask whether these systems may in turn harbour a large affinity for binding not so much a H+ as the next homologue He2+?

Inventing the  Helium bond

Inventing the Helium bond

This possibility is explored with the series X=Be, B, C (tetramethyl substituted, resulting in neutral, +1 and +2 systems overall). The first two emerge as stable in terms of having all positive force constants for C4v symmetry; the last emerges as a transition state and is not discussed further. The specific system X=B has a B-He bond length of 1.317Å/B3LYP/6-311G(d,p), 1.305Å/B3LYP/Def2-QZVPP and 1.290Å/double-hybrid RI-B2GP-B2PLYP/TZVPP, which does seem as if it might be typical of a single bond between these two elements. The ρ(r)B-He AIM value (B3LYP/6-311G(d,p) is 0.069 au, and νB-He of 713 cm-1 (727 for Def2-QZVPP basis) makes it about one third the strength of a C-H bond. The disynaptic basin for the B-He region integrates to 1.99 electrons, whilst the four B-C basins correspond to 1.22 electrons each.

X Charge ρ(r) X-He C-B ELF
integration
νX-He, cm-1 Repository
Be 0 0.031 1.10 484 10042/to-2443
B 1 0.069 1.22 713 10042/to-2444

10042/to-2446

10042/to-2453

C 2 0.026 136 10042/to-2445
AIM for X=B-He

AIM for X=B-He. Click for 3D

B-He vibrational stretching mode

B-He stretching mode. Click to vibrate

We can conclude that for X=B, this species exhibits not only a pentavalent boron atom, but a monovalent helium atom. The latter bond may indeed be amongst the strongest ever proposed for this element in a ground state, and indeed perhaps is even viable as a solid crystalline compound rather than merely existing in the gas phase. The Cambridge crystal database contains no entries for He or Ne, not even as an encapsulated clathrate (although crystal structures of such complexes for Kr and Ar are known). Theoretical studies of the rare gases in endohedral fullerene-like cages (DOI: 10.1002/chem.200801399) predict that under these compressed circumstances e.g. two helium atoms can approach each other to 1.265Å or less (see also DOI: 10.1002/chem.200700467) but these close approaches were not considered to be chemical bonds as we think of them. Perhaps Merino, Frenking, Krapp and co’s search for the chemistry of helium (they had found it earlier in the gas phase excited states of their molecules, DOI: 10.1021/ja00254a005) might be realised for the ground state of the system described here.

Pentavalent nitrogen and boron

Saturday, October 3rd, 2009

The previous posts have seen how a molecule containing a hypervalent carbon atom can be designed by making a series of logical chemical connections. Another logical step is to investigate whether the adjacent atoms in the periodic table may exhibit similar effects (C2+ ≡ B+ ≡ N3+ ≡ Be ≡ O4+). So here are reported some results (B3LYP/6-311G(d,p) ) for boron, beryllium and nitrogen, for the general tetramethyl substituted system shown below

Pentavalency across a series

Pentavalency across a series

X Charge X-C length, Å ρ(r) C-X ELF integration ν-Trampoline, cm-1 ν X-H, cm-1 Repository
N 2 1.616 .172 1.14 883 3417 10042/to-2439
C 1 1.580 .195 1.10 970 3291 10042/to-2438
B 0 1.649 .136 1.06 949 2746 10042/to-2440
Be -1 1.817 .064 0.98 797 1887 10042/to-2441

The systems H, C and B are stable in the sense that the C4v-symmetric calculated geometry has only positive calculated force constants (Be has a small negative frequency). All show bond critical points in the  X-C region (although these bonds are clearly  bent) and X-H region, and significant integrations for the X-C disynaptic basins in the  ELF analysis. The boron analogue is also of interest as being a neutral rather than a charged molecule, and therefore may be a worthy target for synthetic effort.

Full circle with carbon hypervalencies

Friday, October 2nd, 2009

The previous post talked about making links or connections. And part of the purpose for presenting this chemistry as a blog is to expose how these connections are made, or or less as it happens in real time (and not the chronologically sanitized version of discovery that most research papers are). So each post represents an evolution or mutation from the previous one. To recapitulate, we have seen how the idea of cyclopentadienyl anion as a ligand for a dipositive carbon atom has evolved. Let us move in yet another direction; the cyclobutadienyl dianion.  This ligand has recently been shown to bind Mg2+ (DOI: 10.1002/ejic.200800066), so why not He2+? And picking up again the previous theme, we will then protonate the bound complex. The result now is a monocation, and it has the C4v-symmetric structure shown below (DOI: 10042/to-2438). This bears some resemblance to pyramidane, a neutral  C5H4 compound with hemispherical carbon reported in 2001 (DOI: 10.1021/jp011642r) which is also a stable minimum in the potential energy surface.

C4-symmetric pentavalent carbon

C4-symmetric pentavalent carbon

Now, the apical C-C bonds have shrunk to 1.58Å, the trampoline mode is increased to 970 cm-1 and the apical C-H frequency to 3291 cm-1. The apical C-C value for the AIM bond critical point ρ(r) is up 0.195 au and the disynaptic basin integration in that region is now 1.1 electrons. Replacing the apical C-H by C-F further strengthens the system (DOI: 10042/to-2447); the apical C-C bonds contract slightly to 1.57Å, the bouncing castle/trampoline mode shoots up to ν 1595 cm-1 , ρ(r) reaches 0.201 au and the disynaptic basins 1.25 electrons. With this latter system, the C-F disynaptic basin contains only 1.08 electrons, suggesting it is similar in nature to the other four bonds surrounding the apical carbon, i.e. this carbon is surrounded by five more or less equivalent bonds. The pseudo-halogen CN can also replace the F (DOI: 10042/to-2449) to similar effect (ρ(r)C-C 0.190, ρ(r)C-CN 0.290).

AIM Analysis

AIM Analysis

ELF Basin centroids

ELF Basin centroids. Click for 3D

We are back to pentavalent, pentacoordinate carbon again, but we have gradually optimized the properties of the system for five short C-C bonds surrounding one carbon atom, and the largest electron density and disynaptic basin integration. Whilst the sentiments expressed by Hoffmann, Schleyer and Schaefer (DOI: 10.1002/anie.200801206) for more realism in predicting molecules must not be ignored, it is to be hoped that the original suggestions made here will lead to the discovery of realistic and makeable molecules exhibiting true C-C hypervalency.

It’s Hexa-coordinate carbon Spock – but not as we know it!

Friday, October 2nd, 2009

Science is about making connections. And these can often be made between the most unlikely concepts. Thus in the posts I have made about pentavalent carbon, one can identify a series of conceptual connections. The first, by  Matthias Bickelhaupt and co, resulted in the suggestion of a possible frozen SN2 transition state. They used astatine, and this enabled a connection to be made between another good nucleophile/nucleofuge, cyclopentadienyl anion. This too seems to lead to a frozen Sn2 transition state.  The cyclopentadienyl theme then asks whether this anion can coordinate a much simpler unit, a C2+ dication (rather than Bickelhaupt’s suggestion of a (NC)3C+ cation/radical) and indeed that complex is also frozen, again with 5-coordinate carbon, and this time with five equal C-C bonds. So here, the perhaps inevitable progression of ideas moves on to examining the properties of this complex, the outcome being a quite counter-intuitive suggestion which moves us into new territory.

The journey starts with the previous observation that the HOMO of the carbyliumylidene cation, shown in the previous post, has prominent electron density along the five-fold symmetry axis of the molecule;

The HOMO orbital

The HOMO orbital. Click for 3D

This suggests that the apical 5-coordinate carbon might actually be basic, and hence coordinate a proton to form a di-cation (below). So adding a proton results in the following stable (in the sense of having all positive force constants) structure, with apical C-C bond lengths of 1.7Å (compared to 1.8Å for the unprotonated system) and the bouncing castle/trampoline mode of  875 cm-1 (DOI: 10042/to-2435) is likewise increased (for the pentamethyl derivative of the structure shown below). The apical C-H stretch has the highest value of all the CHs in the molecule, 3208 cm-1. The calculated proton affinity of the parent compound is 134.2 kcal/mol. To put this into context, we can compare this value with a range of first and second proton affinities reported for carbon bases by Frenking (DOI: 10.1002/cphc.200800208). The highest second proton affinity there reported (ie protonation of an already positive system) is around 106 kcal/mol, which is a good deal less than that found here! So we might conclude that our value  must be a candidate for highest second proton affinity ever proposed for a carbon base.

Hexa-coordinate  Carbon?

Hexa-coordinate Carbon?

The value of ρ(r) for the AIM bond critical point located for each of the five apical C-C bonds is 0.156 au, again up from the value for the unprotonated species. As before, the Cp ring itself shows no ring critical point. An ELF analysis (below) shows five disynaptic basins in the  C-C bond region, with the basin integrating to  0.75 electrons each. Together with the electrons in the apical C-H bond, 6.09 electrons are associated with basins surrounding this carbon atom. Both the AIM and the ELF concur in describing this carbon as not only hexa-coordinated, but hexavalent (although the bonds are not the conventional two-electron type, but perhaps more akin to a six-centre-four-electron interaction).

ELF Basins

ELF Basins. Click for 3D

So I suggest that simple protonation of a highly basic cation has resulted in a six-coordinate carbon atom, which exhibits six strong bonds coordinated around it. I suppose it is inevitable again that one ends this post with the question whether this species too might one day be made.

It’s penta-coordinate carbon Spock- but not as we know it!

Wednesday, September 30th, 2009

In the previous two posts, I noted the recent suggestion of how a stable frozen SN2 transition state might be made. This is characterised by a central carbon with five coordinated ligands. The original suggestion included two astatine atoms as ligands (X=At), but in my post I suggested an alternative which would have five carbon ligands instead (X=cyclopentadienyl anion).

The Sn2 transition state

The Sn2 transition state

However, these five ligands are not all equal; far from it. Three form normal strength bonds to the central carbon, and two very weak (deci)bonds. So, could a molecule be made with five equal bonds all coordinated to a central carbon atom? Well, the inspiration for designing such a molecule comes with the report of a remarkable compound of silicon by Jutzi and co-workers (DOI: 10.1126/science.1099879). Examples with  Ge, Sn and  Pb are also known.

The silyliumylidene cation

The silyliumylidene cation

Using a large non-coordinating anionic counterion, a crystal structure could be determined for the pentamethyl derivative (Refcode: BIDLEG), which reveals the five-fold symmetry of the silicon coordination. The obvious mutation therefore is to see if the corresponding carbon compound might be stable.  A B3LYP/6-311G(d,p) calculation (DOI: 10042/to-2433) run with  C5 symmetry reveals this system to have only positive force constants, with five equal C-C bonds to the central carbon, each with the unusual length of 1.799Å. The bouncing castle vibrational mode involving the pentacoordinate carbon has a value of  767 cm-1

The carbyliumylidene Cation

The carbyliumylidene Cation

So, not only do we now have a clearly penta-coordinate carbon, all five bonds are of equal length! More unusual still, all five ligands occupy one hemisphere of the carbon coordination. Why might such a geometry be stable? Well, as with the silicon analogue, C2+ has only two valence electrons left. To elevate this to the standard octet, it must accept six electrons, and the cyclopentadienyl anion fulfils this role perfectly. The top three occupied molecular orbitals are shown below.

The HOMO orbital

The HOMO orbital. Click for 3D

The HOMO-1 (degenerate) orbital

The HOMO-1 (degenerate) orbital. Click for 3D

An AIM analysis (below) shows five equal bond critical points, with ρ(r) 0.13 au for each (see previous post for comparison), a value which probably can be described by the term bond. The ∇2ρ value of +0.07 au is similar to that quoted in the previous post. Noteworthy is the observation that no ring critical point (RCP, yellow dots) can be found for the cyclopentadienyl ring itself, only for the five three-membered rings to the pentacoordinate atom.

AIM (Atoms-in-Molecules) analysis

AIM (Atoms-in-Molecules) analysis

Can the species be made? Well, given that it seems the case that carbon and silicon chemistries are inverted, ie what is stable with silicon is unstable with carbon, and vice versa, the answer is probably no. But one never knows until one has tried!

Capturing penta-coordinate carbon! (Part 2).

Wednesday, September 23rd, 2009

In this follow-up to the previous post, I will try to address the question what is the nature of the bonds in penta-coordinate carbon?

This is a difficult question to answer with any precision, largely because our concept of a bond derives from trying to define what the properties of the electrons located in the region between any two specified atoms are. Such a local picture is somewhat at variance with the idea of electrons being delocalized across the entire molecule. Two procedures for analyzing the local electronic behaviour which we have been using recently are AIM (Atoms-in-Molecules) and ELF (the topology of the Electron localization function). There are many useful published articles which elaborate these concepts; if you want to read some of them, start at DOI 10.1021/ct8001915 and follow the cited articles.

Firstly, the AIM analysis of the system below, where X=cyclopentadienyl anion and Y=CN.

The Sn2 transition state

The Sn2 transition state

This is shown below. If you click on the image, you will see a rotatable version of this diagram. The coloured (red, yellow and green) dots represent so-called critical points in the curvature of the electron density function ρ(r). The red dots are known as bond critical points, or BCPs. These (almost) always are found along the line connecting two atoms which we tend to refer to as a bond. You will see two that have been circled in the diagram below, and these appear to show a bond connecting the central 5-coordinate carbon atom and a carbon of each of the cyclopentadienyl rings (which themselves are revealed as rings by the presence of a yellow dot). Indeed, that central carbon atom does seem to have five red dots radiating out along lines connecting it to five carbon atoms.

AIM analysis (red = bond critical points, yellow = ring, green = cage)

AIM analysis (red = bond critical points, yellow = ring, green = cage)

So is the case proven for pentavalent carbon? Well, no. Firstly, one has to inspect the value of ρ(r) at the circled red dot. This has a (calculated) value of 0.022 au and a calculated bond length of ~2.7Å. We need to calibrate this against a real system as reported in DOI: 10.1021/ja710423d (below):

Hexa-coordinate carbon

Hexa-coordinate carbon. Click for 3D model

Here, the electron density ρ(r) was actually measured using X-ray diffraction, and found to be ~0.017 for bond critical points found connecting the central carbon and each of the four oxygen atoms. The length of these “bonds” was measured as  ~2.7Å. The agreement with our frozen transition state is quite striking.

One can go a little further and inspect the (2nd) derivative of the electron density at the bond critical point, termed the Laplacian, or ∇2ρ, which tells what kind of “bond” one might have. The measured value of ∇2ρ for the system above was ~0.06 au, and the calculated value for our pentacoordinate system is 0.04 au, which again suggests we are dealing with a very similar interaction in both systems (one hypothetical and calculated, the other real and measured). The use of the term  interaction was deliberate.  It is less loaded than the term  bond. Thus the value of ρ(r) for an undisputed C-C single bond is around 0.28 au, around ten times higher than our putative bonds. Since we do not really wish to grace a ρ(r) value of 0.022 with the term decibond (or any other fraction of a single bond) perhaps it is best to call it just an interaction, and leave open the question of how strong that interaction is! So, despite the  AIM analysis  finding a bond critical point, we shall settle for interpreting that merely as an interaction, and not a bond!  Well, is an interaction (or come to that, a decibond) worthy of counting towards a coordination?  Perhaps!

So AIM can provide information about the curvature and density of the electrons in the region of a bond/interaction. But it does not provide any information about another simple question which the term bond implies. How many electrons might be involved? Ever since  G. N. Lewis coined the term two-electron bond in 1916,  we have become used to interpreting bonds in terms of simple (often integer) numbers of electrons.  A carbon-carbon single bond shares two electrons; a double bond four electrons, and so on. We use this concept all the time in the technique known  as arrow-pushing, which helps us delineate mechanisms of reactions. Might it be possible to  identify how many electrons are involved in bonds/interactions of the captured  SN2 species above? Enter the ELF technique. It would not be appropriate to delve into the theory of this method here; suffice to say that  (approximately), the  bond-critical-point of the  AIM analysis in this case would map to a disynaptic basin for ELF. Thus a two-electron single bond will reveal a disynaptic basin (the centroid of which approximately matches the position of the  AIM BCP), which can be integrated to approximately two electrons. Shown below are the centroids of the disynaptic basins calculated for our SN2 species:

ELF basins (purple dots) for the SN2 system

ELF basins (purple dots) for the SN2 system. Click for 3D model

The most striking difference with the AIM analysis is that that the central carbon is surrounded only by three, not five disynaptic basins. The BCPs found for the two di-axial interactions have no counterpart in synaptic basins. Of course, that does not mean that there are no electrons that can be integrated in that region, just that the curvature of the density in that region is not sufficiently well defined to define a bounded volume of space which can be clearly integrated. Perhaps that condition is what we might mean by a bond!

The three disynaptic basins that do surround the central carbon integrate to a total of 7.85 electrons, which is close enough to 8 for us to say that this carbon is NOT hypervalent!

So what is our final conclusion? The frozen SN2 species is not hypervalent. It could reasonably be said to be coordinated by three bonds, and two diaxial substituents that interact with the central carbon weakly. Perhaps rather than penta-coordinate, the central carbon could be described as pentacoordinaloid!

Capturing penta-coordinate carbon! (Part 1).

Tuesday, September 22nd, 2009

The bimolecular nucleophilic substitution reaction at saturated carbon is an icon of organic chemistry, and is better known by its mechanistic label, SN2. It is normally a slow reaction, with half lives often measured in hours. This implies a significant barrier to reaction (~15-20 kcal/mol) for the transition state, shown below (X is normally both a good nucleophile and a good nucleofuge/leaving group, such as halide, cyanide, etc.  Y can have a wide variety of forms).

The Sn2 transition state

The Sn2 transition state

This transition state is normally regarded as the only situation in which carbon can sustain penta-coordination (there are some exceptions), and this is often contrasted with the analogous situation for silicon, which demonstrates an abundance of stable penta- (and hexa-)coordinate (crystal) structures. Perhaps inevitably therefore, chemists have set themselves the goal of capturing a penta-coordinate carbon, not as a transition state with fleeting lifetime, but as a stable (and perchance crystalline) species.  The best strategy is to explore potential systems computationally, and the latest report of such an exploration has some suggestions for synthesis (Pierrefixe, S. C. A. H.; van Stralen, S. J. M.; van Strale, J. N. P.; Guerra, C. F.; Bickelhaupt, F. M., “Hypervalent Carbon Atom: “Freezing” the SN2 Transition State,” DOI: 10.1002/anie.200902125). Their suggestion corresponds to Y=CN and X=At (Astatine), a rather esoteric combination it has to be said.  In the manner of the blogosphere, Steve Bachrach has noted this report in his own blog, where a discussion has opened up on the origins of why carbon can be regarded as abnormal (at least compared to silicon), and more particularly whether such a species should be regarded as merely hypercoordinate, or as Bickelhaupt and co-workers suggest, hypervalent.

In fact, such reports are not new. As I note in the discussion of Steve’s blog, a crystalline structure of a hexa-coordinate carbon compound was reported in 2008 (DOI: 10.1021/ja710423d (below), and it is also tentatively described as possibly hexavalent near the end of the article! I shall return to this compound in the second part of this post.

Hexa-coordinate carbon

Hexa-coordinate carbon

The astatine system reported above is unusual, and it really only contains three carbon-carbon bonds surrounding the pentacoordinate carbon. The compound above contains only two such C-C “bonds”. It would be perhaps more interesting to ask if one could design a compound with five C-C bonds surrounding the putative pentacoordinate atom. Whilst mulling over Steve’s post, and pondering my contribution to that blog, a colleague in my department wandered into my office (my door is almost always open) and without saying a word, he wrote a structure on my blackboard (yes, I really do have such).  He then walked out (almost;  I believe he did mutter perhaps two words before leaving). He had sketched the key feature of an article by Ethan L. Fisher and Tristan H. Lambert entitled Leaving Group Potential of a Substituted Cyclopentadienyl Anion Toward Oxidative Addition (DOI: 10.1021/ol901598n). This triggered the following question in my mind: could the aromatic cyclopentadienyl anion act as the X group in the pentacoordinate carbon example above? The essential property of group X is that it must be big!  Well, cyclopentadienyl can be made big! It would also achieve the purpose of forming a penta-coordinate carbon with  five  C…C bonds.

So in it goes for a B3LYP/6-311+G(2df) calculation. Surely, the life of a computational chemist is an easy one; all one  has to do is wait a few hours (or, with a large basis set, days) for an answer. The result is shown below.

The SN2 reaction captured with cyclopentadienyl anion

The SN2 reaction captured with cyclopentadienyl anion

The key vibrational mode (which you can see animated if you click on the image above) has a wavenumber of 194 cm-1 (B3LYP/6-311+G(2df); other basis sets show similar values). It corresponds to the SN2 mode,  and is what we normally think of as the  transition or reaction normal mode for this reaction. But  in this case, it is not an imaginary mode, but a real mode!  The SN2 has been (virtually) captured for a penta-coordinate carbon with five C…C interactions. How does it compare with the astatine system noted in 10.1002/anie.200902125? Well, unfortunately, the umbrella-mode for that system  is only reported as a force constant without mass weighting, so it cannot be compared to the mass-weighted value we have here. The calculation is digitally archived (e.g. as 10042/to-2407 or 10042/to-2415) so you can analyze it for yourself!

An obvious question to ask is what the nature of the  axial bonds for X=cyclopentadienyl is. Is the central carbon hypercoordinate, or hypervalent, or both? But this blog is quite long enough already, and so this will all be discussed in part 2, to follow shortly.

Oh, one final comment. The issue of hypervalency and hypercoordination of carbon has previously been discussed largely in conventional scientific publications (for which DOIs are provided above). The forum moved to Salt Lake  City in the  USA, where some of the results were presented orally at the ACS spring conference in 2009.  Now that it  has been formally published, it has been taken up by Bachrach in his blog, where some of the discussion has continued. So where should I have presented the present result?  In the primary scientific literature? Or perhaps another ACS meeting? Well, here it is in another blog (I have been variously told I am either brave or very foolish for doing so!). And as I write this, of course it is not peer reviewed (but there is nothing to stop people from commenting on this of course, as has happened in Bachrach’s blog). Will it “count” here – in other words, does it (yet) have any scientific respectability? Should  blogs report new scientific results, or merely be reserved for commenting on such results which have been reported in the “proper scientific manner”? Will indeed this result appear in the future in the scientific literature under different authorship, but with no accreditation for this blog? If I do choose to “write it up properly” (assuming the journals now let me), can I cite this blog in the way one can cite the ACS conferences? I do not suppose many people know what the answers are to all these questions. Perhaps the appearance of this post might provide some?