Course Solutions Uncategorized (Solved) : 5 Starting Model Aromatic Molecules 25 Marks Molecule Composed Three Iden Tical Atoms At1 Q33140756 . . . .

(Solved) : 5 Starting Model Aromatic Molecules 25 Marks Molecule Composed Three Iden Tical Atoms At1 Q33140756 . . . .

 

5) Starting model for some aromatic molecules (25 marks): A molecule is composed of three iden tical atoms AT1, AT2, and AT3 which form a regular triangle. Consider an electron which can be localized on each of the atoms. Call |On》 the state in which it is localized on the nth atom (n=12. and 3). The electron states will be confined to the space spanned by the Pn》 basis, assumed to be orthonorma a) Define an operator R by the following relations: Find the eigenvalues and eigenstates of R. Show that the eigenvectors of R form a basis of 

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