Molecular Symmetry, Group Theory and Applications (57P)
Molecular Symmetry, Group Theory and Applications (57P)
Molecular Symmetry, Group Theory and Applications (57P)
This note provides a systematic treatment of symmetry in chemical
systems within the mathematical framework known as group theory. Topics covered
includes: Symmetry operations and symmetry elements, Symmetry classification of
molecules – point groups, Symmetry and physical properties, Combining symmetry
operations: group multiplication, Constructing higher groups from simpler
groups, Mathematical definition of a group, Transformation matrices, Matrix
representations of groups, Properties of matrix representations, Reduction of
representations, Irreducible representations and symmetry species, Bonding in
diatomics, Bonding in polyatomics, Molecular vibrations, Group theory and
molecular electronic states.
This note explains the
following topics:The Interaction between two Molecules, Interaction of
Macroscopic Bodies, The Effective Interaction between two Molecules,
Electrostatic Forces.
These
lecture notes have been prepared to give an introduction into the foundations of
atomic and molecular physics with an emphasis on the interaction of these atomic systems
with light, and in more general, with electromagnetic fields. Topics covered
includes: Wave-corpuscular duality of photons and massive particles, Angular
momentum in quantum mechanics, Atomic spectra, simple models of atoms, Spin and
the fine structure, Many-body problems, systems of identical particles,
Molecular structure and spectra, Bose Einstein Condensation, Elements of
coherent atom field interactions, Atoms in Strong Fields, Photons, A quantum
paradox and the experiments.