Reply to the comment by Amano on “Linear and bent triatomic molecules are not qualitatively different!”

In Amano’s comment on Jensen’s paper, we notice two important misconceptions: (i) Amano overlooks the fact that all features special for a linear molecule originate in the double degeneracy in the bending motion (i.e., in the fact that for a linear triatomic molecule, the description of the bending motion must necessarily also involve the rotation about the axis of least moment of inertia, the a axis, which becomes the molecular axis at equilibrium), and (ii) the expectation value generated from the wavefunction gives an “average” value of the relevant observable (coordinate); the expectation value can, in principle, be obtained experimentally as the average of very many repeated measurements of the observable. In our previous papers on this subject, in particular the paper by Jensen discussed here, we have attempted to explain our results as coherently and “pedagogically” as we can, starting with the fundamental principles of quantum mechanics, and we encourage interested readers to refer to our previous works on the subject. Thus, we maintain our assertion that the vibrationally averaged structure of a linear molecule is observed as being bent, as we have demonstrated previously from both theoretical and experimental viewpoints.

Vibrational Frequencies of Dichlorine Monoxide: A Mathematical Model

Determinedstretching vibrational frequencies of a triatomic molecule, i.e..Dichlorine Monoxide (Cl2O) upto third overtone by Lie algebraic method.Fundamental vibrational wavenumbers calculated by Lie algebraic model are compared with available experimental values.