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Unformatted text preview: CHEM 350 Lectures 20 and 21, February 24 and 26 2010 Lecture 20: midterm Symmetry of wavefunction: total (1 , 2) total (2 , 1) = total (1 , 2) : Symmetricupontheinterchangeofnuclei.nucleihaveintegerspin ( Bosons ) total (2 , 1) =- total (1 , 2) : Antisymmetricupontheinterchangeofnuclei.nucleihavehalf- odd- integerspin ( Fermions ) We shall treat the interchange of two identical nuclei as a 2step process: i) ROTATION of the molecule by about an axis perpendicular to the bond ii) RETURN of the electrons to their original positions We shall see why we do it this way shortly. We can write the molecular wavefunction as a product of wavefunctions for the various inde- pendent motions (in the approximations that we are employing here), so that total = trans rot vib el The above ignore the nuclear spin contributions. total = total spin X 2 molecule: point group symmetry: D h v C C 2 Let us examine how each of these components behaves with respect to the symmetry operations associated with a homonuclear diatomic molecule: 1...
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This note was uploaded on 02/28/2011 for the course CHEM 350 taught by Professor Prof.djasd during the Winter '10 term at Waterloo.
- Winter '10