Molecular Symmetry, Group Theory and Applications (57P)
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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.
This note is intended for graduate
students who specialize in computational or theoretical quantum chemistry. Its
goal is to have students acquire skills essential for developing new computational methodologies broadly applicable to atomic, molecular, solid-state
chemistry.
This note covers the following topics: Molecular Shapes, What
Determines the Shape of a Molecule, Valence Shell Electron Pair, Repulsion
Theory, Molecular Arrangments, Lone pairs and Bond Angle, Multiple Bonds and
Bond Angles, Trigonal Bipyramidal arrangment, Polarity, Overlap and Bonding,
Hybrid Orbitals, Valence Bond Theory, Single Bonds, Multiple Bonds, Delocalized
Electrons, Orbitals in Molecules.
Author(s): Prof. Geiger, Michigan State
University
This note covers the following topics: Electron Densities, Electrostatic Potentials,
Electrostatic Potential Maps, Molecular Orbitals, Molecular Orbital Maps,
Molecular Modeling Workbook.
This is one of the longest running chemistry web pages on the
internet (started in January 1996). Each month since then a new molecule has
been added to the list on this page.