Point Groups §

Group: 4 #group-4

Relations §

• Group Theory: Point groups are studied and classified using the principles of group theory.
• Crystallography: Point groups are used to describe the symmetry of crystal structures in crystallography.
• Proper Rotations: Proper rotations are symmetry operations included in point groups.
• Symmetry Operations: Point groups classify the symmetry operations of a molecule or crystal.
• Reflection Planes: Point groups can include reflection planes as symmetry elements.
• Spectroscopy: Point groups are used to predict and interpret molecular spectra in spectroscopy.
• Rotation Axes: Point groups are defined by their rotation axes and other symmetry elements.
• Character Tables: Character tables are used to represent the symmetry operations of a point group.
• Solid State Physics: Point groups are important in understanding the properties of solids in solid state physics.
• Hermann-Mauguin Notation: Hermann-Mauguin notation is another way to represent point groups, commonly used in crystallography.
• Inversion Centers: Point groups can include inversion centers as symmetry elements.
• Quantum Mechanics: Point groups are used in quantum mechanical calculations and descriptions of molecular systems.
• Improper Rotations: Improper rotations, which include inversion, are symmetry operations included in point groups.
• Schönflies Notation: Schönflies notation is a common way to represent point groups.
• Molecular Geometry: Point groups are used to describe the overall symmetry of molecular geometries.
• Fold Symmetry: Fold symmetry is used to determine the point group of a molecule.