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CHAPTER 12

CHAPTER 12 molecular SYMMETRYIn many cases, the symmetry of a molecule provides a greatdeal of information about its quantum states, even without adetailed solution of the Schr odinger equation. A geometricaltransformation which turns a molecule into an indistinguish-able copy of itself is called asymmetry operation. A symmetryoperation can consist of a rotation about an axis, a reflectionin a plane, an inversion through a point, or some combinationof Ammonia MoleculeWe shall introduce the concepts of symmetry and group theoryby considering a concrete example the ammonia molecule any symmetry operation on NH3, the nitrogen atom remainsfixed but the hydrogen atoms can be permuted in 3!=6 differ-ent ways. The axis of the molecule is called a C3axis, sincethe molecule can be rotated about it into 3 equivalent orienta-tions, 120 apart.

CHAPTER 12 MOLECULAR SYMMETRY In many cases, the symmetry of a molecule provides a great deal of information about its quantum states, even without a

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