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 lecture note explores a wide range of techniques and applications in
molecular modeling and computational chemistry. Topics covered includes: ab
Initio and Semi-Empirical Quantum Mechanics, Molecular Mechanics and Dynamics
Simulation, Electrostatics, Coarse Graining Biomolecular Structure Prediction,
Advanced Electrostatics for Force Fields, Molecular Dynamics Simulation, Monte
Carlo Methods.
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