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Experimental orbital momentum distributions and bonding interactions

1991, Molecular Physics

Abstract

A comparison of the experimental momentum distribution of electrons in the highest occupied molecular orbital of N(CH,), with the electron momentum distribution of the boron-nitrogen bonding orbital of (CH,),N-BF, shows that the orbital of the complex has a larger relative density of high momentum electrons. This increase in high momentum components is associated n i t h the incrcasc in nodal surfaces in the orbital of the complex in comparison with the orbital of the amine. Qualitative agreement is seen in a comparison of the experimental momentum distributions with distributions calculated from small basis set ab initio position space orbital wave functions. The experimental results are also discussed in terms of the position apace autocorrelation function diffcrcncc M ( r ) . which is demonstrated to provide additional information concerning the orbital interactions. Thc bcn\iti\,it! and uccuracq with which (e,2e) spectroscopy can bc applied to the measurement of valence electron momentum distributions in gas-phase molecules by the present generation of high momentum resolution spectrometers has been well established during recent years.'-3 The basis of the spectroscopic technique is the observation of the high energy electron knock-out. or (e,2e), reaction. When the binding energy of electrons in a particular niolecular orbital differs sufficiently from the binding energy of othcr electrons in the molecule, it is possible to observe (e&) reactions involving essentially only the electrons of that orbital. The experimentally obtained momentum distribution p(p) is then the <phcrical average of the square modulus of the momentum space orbital wave function $ (p). In the work reported here, we have initiated an (e,2e) spectroscopic study of bonding interactions between molecules. Theoretical treatments of chemical reactivity and bonding have demonstrated that molecular interactions are often dominated by the frontier orbitals of the reactant molecule^.^ ( c . 7 ~) rpectroscopy. becnusc it can measure orbital specific momentum distributions. can provide information on such phenomena 215 clcctroii rcdihtribution and rchybridization associated with intcractiona of l'ronticr orbitals. The subject of this invcstigation is the reaction of boron trifluoride (BF,) and trimethylamine (N(CH,),) to form the electron donor-acccptor complex (CH,),N-BF,. Formation of the intermolecular bond involves the donation of charge density from the iionbondiiig highest occupied orbital of thc donor nioleculc Y(Cl13)3 to the antibonding T* lowest unoccupied orbital of the Lcni\ acid RF,. The transfer of electron density from the donor lea& to ;I nenkening of the bonds within the BF, moiety. and the complcu (CH1)?N-BF3 is therefore the product of what has been tcrmcd .in "incipient displacement r e a c t i ~n " . ~, ~ Our approach to tlic b t u d ) of the bonding interaction is to mcasurc thc niomciituiii di\tributions of two molecular orbitals: (i) the nonbonding hiyhcbt occupicd molecular orbital (HOMO) of Y(CH,), and (ii) thc boron-nitrogen bonding orbital of the complex complex (CH,),N-BF,. The orbital of ii is the HOMO of the complex and correlates with the HOMO of N(CH,), and the lowest unoccupied molecular orbital (LUMO) of BF,. By comparing the t \ r o momcntum diytributions. the rearrangement in momentum _-' Inslitutu for Ph!\ic,il Sciencc and Tcchnologq :