Symmetry Operation §

Group: 4 #group-4

Relations §

• Fold Symmetry: Fold symmetry is a type of symmetry operation.
• Quantum Mechanics: Symmetry operations are used to simplify and solve problems in quantum mechanics.
• Symmetry Breaking: Symmetry breaking occurs when a system loses some of its symmetry due to external influences or phase transitions.
• Rotation: A rotation is a type of symmetry operation that involves rotating an object around a fixed axis.
• Crystal System: Symmetry operations are used to classify crystals into different crystal systems based on their symmetry.
• Space Group: Space groups are collections of symmetry operations that describe the symmetry of a crystal lattice.
• Group Theory: Symmetry operations are studied using the mathematical framework of group theory.
• Reflection: A reflection is a type of symmetry operation that involves flipping an object across a plane.
• Solid-State Physics: Symmetry operations are important in understanding the properties of solid-state materials.
• Vibrational Spectroscopy: Symmetry operations are used to determine the selection rules for vibrational spectroscopy.
• Symmetry Element: Symmetry elements are geometric objects (e.g., axes, planes) associated with symmetry operations.
• Molecular Geometry: Symmetry operations are used to determine the molecular geometry of molecules.
• Molecular Orbitals: Symmetry operations are used to determine the symmetry of molecular orbitals.
• Irreducible Representation: Irreducible representations are used to describe the behavior of symmetry operations in group theory.
• Character Table: Character tables are used to represent the behavior of symmetry operations in group theory.
• Inversion: An inversion is a type of symmetry operation that involves inverting the coordinates of an object through a point.
• Point Group: Point groups are collections of symmetry operations that leave at least one point in an object unchanged.
• X-ray Crystallography: Symmetry operations are used to interpret X-ray diffraction patterns in crystallography.
• Chirality: Symmetry operations can be used to determine if a molecule is chiral or achiral.
• Improper Rotation: An improper rotation is a type of symmetry operation that combines a rotation with an inversion or reflection.