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Molecular Symmetry, Super-Rotation, and Semiclassical Motion - New Ideas for Solving Old Problems (Hardcover, 1st ed. 2017)
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Molecular Symmetry, Super-Rotation, and Semiclassical Motion - New Ideas for Solving Old Problems (Hardcover, 1st ed. 2017)
Series: Springer Series on Atomic, Optical, and Plasma Physics, 97
Expected to ship within 12 - 17 working days
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This book presents a range of fundamentally new approaches to
solving problems involving traditional molecular models.
Fundamental molecular symmetry is shown to open new avenues for
describing molecular dynamics beyond standard perturbation
techniques. Traditional concepts used to describe molecular
dynamics are based on a few fundamental assumptions, the
ball-and-stick picture of molecular structure and the respective
perturbative treatment of different kinds of couplings between
otherwise separate motions. The book points out the conceptual
limits of these models and, by focusing on the most essential idea
of theoretical physics, namely symmetry, shows how to overcome
those limits by introducing fundamentally new concepts. The book
begins with an introduction to molecular symmetry in general,
followed by a discussion of nuclear spin symmetry. Here, a new
correlation between identical particle exchange and spin angular
momentum symmetry of nuclei is exhibited. The central part of the
book is the discussion of extremely floppy molecules, which are not
describable in the framework of traditional theories. The book
introduces a fundamentally new approach to describing the molecular
dynamics of these molecules - the super-rotor model, which is based
on a five-dimensional symmetry that has never been observed in
molecules before. By applying the super-rotor theory to the
prototype of floppy molecules, protonated methane, this model can
consistently predict the symmetry and energy of low-energy states,
which were characterized experimentally only a few years ago. The
theoretical predictions agree with the experimental results, which
makes the prospect of further developing the super-rotor theory and
applying it to other molecules a promising one. In the final
section, the book also covers the topic of ultrafast rotations,
where usual quantum calculations reach their natural limits. A
semi-classical method for determining rotational energies,
developed in the early 1990s, is shown to be attachable to quantum
calculations of the vibrational states. This new combined method is
suitable for efficiently calculating ro-vibrational energies, even
for molecular states with large angular momentum.
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