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Polyatomic Molecules

  • Wolfgang DemtröderEmail author
Chapter
Part of the Graduate Texts in Physics book series (GTP)

Abstract

With an increasing number of atoms in a molecule, the complexity of the molecular structure and the many possibilities for different isomeric configurations of these atoms make investigations of polyatomic molecules a challenging task. Because of the larger number of degrees of freedom \(f=3q-3\) for the internal motions (vibrations and rotations) of the q atoms in the molecule, the dynamics of such a system of q nuclei and \(N= \sum Z_{i}\) electrons plays a more important role than in diatomics. The potential energy can no longer be described by a potential curve as in diatomics but by an n-dimensional energy surface in an \((n\,+\,1)\)-dimensional space of the nuclear coordinates. The dimension \(n\ (n\,=\,3q-7\) for linear, \(n\,=\,3q\,-\,6\) for planar and \(n\,=\,3q\,-\,5\) for nonplanar molecules) depends on the number \(q\ge 3\) of atoms.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Fachbereich PhysikUniversität KaiserslauternKaiserslauternGermany

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