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.
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.