Suppose that the out-of-plane distortion of an AB3 planar molecule is described by a potential energy V= V0 (1- ebh^4 ), where h is the distance by which the central atom A is displaced. Sketch this potential energy as a function of h (allow h to be both negative and positive). What could be said about (a) the force constant, (b) the vibrations? Sketch the form of the ground-state wavefunction.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter8: Quantum Mechanics In Three Dimensions
Section8.1: Particle In A Three-dimensional Box
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Suppose that the out-of-plane distortion of an AB3 planar molecule  is described by a potential energy

V= V0 (1- ebh^4 ), where h is the distance by which the central atom A is displaced. Sketch this potential energy as a function of h (allow h to be both negative and positive). What could be said about (a) the force constant, (b) the vibrations? Sketch the form of the ground-state wavefunction.

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