7
$\begingroup$

Does the cyclopentadienyl radical attain a regular pentagon geometry or is there a deviation caused by the Jahn–Teller effect? Without the Jahn-Teller effect the MO diagram would look like this: enter image description here

But I guess that a more stable state would be obtained by the Jahn-Teller effect: the orbital marked with number 2 would drop in energy while 3 would rise. What is the true picture?

$\endgroup$
  • 1
    $\begingroup$ I think it's fairly safe to say that the J-T distortion in $\ce{Cp^.}$ is quite well-known. There is a body of experimental evidence for it; summarising it is however probably beyond my capacity right now. $\endgroup$ – orthocresol Nov 24 '16 at 14:05
8
$\begingroup$

A typical definition outlining the Jahn-Teller effect is that for any non-linear molecule in a degenerate electronic state, there exists a displacement of the nuclei along at least one non-totally symmetric normal coordinate, that gives rise to a distortion of the molecular geometry with a concomitant lowering of the energy

The underlying cause of the Jahn–Teller effect is the presence of molecular orbitals which are both degenerate and open shell.

The cyclopentadienyl radical, has degenerate and unequally occupied molecular orbitals, thus one can expect to see JT distortions; and indeed there is plenty of evidence to support it, earliest of which comes from the work done by Thrush et. al in 1956.

Experimental data can be found here (along with a list of references to the original works).

enter image description here

A publication I found particularly instructive was this The potential energy surface given below has been taken from there. potential energy surface

This image presents a downward looking view of linear Jahn–Teller distorted lower PES appropriate for $\ce{C5J5}$ . The coordinates $Q_a$ and $Q_b$ denote the two unique dimensions along which motion resolves the degeneracy of the conical intersection corresponding to the $^2E^"_1$ state. These coordinates lie in the space spanned by the four pair of $e^"_2$ normal coordinates, $Q_{ia}$ and $Q_{ib}$. Around the perimeter of the figure are pictures of the distorted $\ce{C5H5}$ geometries for the corresponding value of the phase angle $\phi$.

The work, later goes on to summarise the geometric distortions in the table given belowenter image description here. The authors also compute $\epsilon_i$ for each of the four modes, and confirm that their sum corresponds to the experimental value of $\epsilon_T$ (this is done for both $\ce{C5H5}$ and $\ce{C5D5}$)

| improve this answer | |
$\endgroup$
  • $\begingroup$ Does A2 or B1 have a bigger contribution to the real geometry? $\endgroup$ – RBW Nov 24 '16 at 16:27

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.