Summary: criteria for agostic interactions



 Dear netters;
 Recently I posted the following question:
 >Are there criteria which define/verify the presence of an agostic H---metal
 >interaction?
 >
 >I am mainly interested in organometallics where the H is not on C-alpha.
 I have enclosed the replies to this question at the end of this note.  My
 thanks to all who responded!  I was mainly interested in looking at this
 issue for structures generated in modeling studies, where experimental data
 are not available.
 Well-defined agostic interactions appear to be easily recognized from a
 simple examination of the geometry of the structure in most cases.
 Unfortunately, I suspect that I am dealing with systems where this effect
 is very marginal, yet may be important.  There's the rub.  How do you
 quantify these weak interactions?
 I also came across a method which is based on second-order perturbation energy
 estimates (Kaufmann et al, Organometallics, v7, 1597, 1988).  This method
 seems to allow one to obtain quantitative estimates of these non-bonded
 interactions.  Any comments on this technique?  More importantly, can this
 method be invoked using Spartan software, for example? (forgive my novice
 state of ignorance)
 REPLIES =====================================
 >
 >there are several diagnostic spectroscopic criteria:
 >
 >1) 13C-NMR: Low C-H coupling constant may be for instance lowered to
 >70 Hz for a sp2-C-H carbon atom
 >
 >2) IR: C-H stretching frequency in the range of 2600-2800 cm-1
 >
 >also: selective Deuteration of the particular C-H bond helps to establish
 >2) and also allows to distinguish between an agostic interaction and an
 >equilibrium between the C-H elimimation product (gives a metal hydride and
 >an olefin in the case of a beta-hydrogen atom) and the metal alkyl complex
 >(equilibrium isotope pertubation). For details of the latter check
 >the following review by M. Brookhart, M.L.H. Green, Progress on Inorganic
 >Chemistry (1988?) - I don't have the exact reference handy but I can find
 >it for you if necessary.
 >
 >Further methods are:
 >
 >X-ray and Neutron diffraction: Grounds: M-H distance and M-C-H (alpha) and
 >C-C-H (beta) angle arguments. Care should be taken however in the
 >interpretation of X-ray crystal structures due to the inherent problems of
 >this method to locate the "true" proton position.
 >
 >Alpha vs Beta vs .. There are quite a number of examples for both - lately
 >even also Gamma-H agostic interactions have been discussed in the context
 >of early transition metal Ziegler-Natta polymerizations with metallocene
 >based catalysts. Also alpha (evidenced) and beta agostic interactions may
 >play a role in this catalytic system.
 >You'll find a pretty good discussion on agostic interactions in
 >Bob Crabtree's monograph: The Organometallic Chemistry of the Transition
 >Metals, 2. ed, Wiley Interscience, (1994/3). Hope this helps, let me know
 >if I can be of further assistance
 >
 >Peter
 >_________________________________
 >Peter Burger
 >Anorg.-Chem. Institut
 >Universitaet Zuerich
 >Winterthurerstr. 190
 >8057 Zuerich
 >Switzerland
 >PHONE:+41 1 257 4692 and 4677 (work)
 >      +41 1 252 1793 (home)
 >FAX:  +41 1 364 0191
 >E-mail:chburger %! at !% aci.unizh.ch
 *********************************************************
 >
 >A few years ago, we described (Mealli and Proserpio, Comments Inorganic
 >Chemistry, 9, 37, 1989) how the agostic interactions can play a role for the
 >stability of certain Re3 clusters. The arguments were based on some careful
 >considerations of the stereochemistry of the non-hydrogen substituents
 >at the alkyl groups suspected to give rise to the agostic interactions.
 >Further support to the hypothesis came from the simplest MO theory arguments
 >which allowed us to see some clear-cut differences between models with and
 >without the agostic interactions at work.
 >You may wish to take a look at that paper.
 >Best regards,
 >Dr. Carlo Mealli
 >ISSECC, CNR
 >Via J.NARDI 39, 50132 Firenze, ITALY
 >e-mail: mealli %! at !% cacao.issecc.fi.cnr.it
 >Tel. 0039-55-2346653 (243990) - Fax 2478366 - Home 4492709
 *********************************************************
 >
 >        We have looked at agostic metal complexes and have tried several
 >approaches to 'quantifying' agostic interactions.
 >        One simple approach is to look at the CH bond length versus
 >non-agostic models.  This is often a tough comparison since the CH bonds
 >lengthen very little when participating in an agostic  interaction, which
 seems
 >to be consistent with exptl evidence from neutron diffraction.  Likewise, if
 >you can calc the IR spectrum you should see a lowering of the CH stretching
 >freq for an agostic CH bond.  With GAMESS we can decompose the IR spectrum
 into
 >normal mode contributions so you can look at the force constant of the
 agostic
 >CH bond and compare it to non-agostic CH bonds.
 >        Other things to look for are bond angles involving agostic CH bonds
 >which deviate from 'normal' (i.e., VSEPPR) values.  It is not clear if this
 >will be as evident when looking at carbons other than C-alpha.
 >        You should also be able to plot the MOs and see if there is a
 >multi-centered interaction among the agostic MHC unit.  Similarly, plotting
 >the total density in the MHC plane may yield some clues.
 >        Finally, in our work we have used a metric parameter defined by
 >Crabtree
 >and co-workers in the following paper.
 >
 >        RH Crabtree et al. Inorg. Chem. 1985, 24, 1986.
 >
 >Essentially, you need the calcd MH, MC, and CH distances, which you can plug
 >into the equation given for rbp.  As rbp decreases, agostic intrxn should
 >increase.  There are some exptlly determined systems to provide calibration.
 >        None of these approaches are unambiguous, but together they should
 >provide some insight into whether or not a substantial agostic interaction
 >is present.
 >
 >Sincerely,
 >
 >Tom Cundari
 >+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+==
 >=
 >Thomas R. Cundari                           Address from 3/15/95 -> ca.
 August:
 >Asst. Professor of Chemistry                Prof. Tom Cundari
 >Computational Inorganic Chemistry Lab       Visiting Scientist
 >University of Memphis                       Cornell Theory Center
 >Memphis, TN 38152                           520 Engineering & Theory
 Center
 >Bldg
 >phone: 901-678-2629                         Cornell University
 >fax:   901-678-3447                         Ithaca, New York 14853-3801
 >e-mail: cundarit %! at !% cc.memphis.edu             phone: (607)254-8686
 >                                            office: (607)254-8621
 >http://www.memst.edu/chemistry/umchem.html  fax:
 (607)254-8888
 >                                            e-mail: same as always
 >+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+===+==
 *********************************************************
 >        Reply to:   RE>CCL:verification of agostic inter
 >This would be an obvious application of the "Theory of
 >Atoms in Molecules" (AIM), by Richard Bader and coworkers.
 >
 >See the book, or the large literature on the subject.  You
 >need an 'ab initio' waverfunction and the AIM programs.
 >
 >Richard Bone
 >__________________________________________________________
 >
 >Richard G. A. Bone, PhD.
 >Computational Chemist
 >Terrapin Technologies, Inc.
 >South San Francisco
 >USA
 >
 >E-mail  rgab %! at !% trpntech.com
 *********************************************************
 >1/r is probably pretty good but still bad compared with explicit
 >water.
 >
 >arne
 >
 >--------------------------------------------------------
 >               From: Arne Elofsson
 >         Email: arne %! at !% hodgkin.mbi.ucla.edu
 >  WWW:  http://www.doe-mbi.ucla.edu/arne/main.html
 *********************************************************
 Once again, thanks all.
 -
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