CH 801: Symmetry in Chemistry Anindya Datta adutta@iitb.ac.in - - PowerPoint PPT Presentation

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CH 801: Symmetry in Chemistry Anindya Datta adutta@iitb.ac.in - - PowerPoint PPT Presentation

Dec 05, 2023 327 likes •428 views

CH 801: Symmetry in Chemistry Anindya Datta adutta@iitb.ac.in What we will learn Symmetry classification of molecules: Symmetry Point Groups Matrices: Geometry to algebra Representations: Reducible and Irreducible Group

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CH 801: Symmetry in Chemistry

Anindya Datta adutta@iitb.ac.in

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What we will learn

  • Symmetry classification of molecules: Symmetry Point Groups
  • Matrices: Geometry to algebra
  • Representations: Reducible and Irreducible
  • Group theory: Great Orthogonality Theorem
  • Character Tables: What, how and why
  • Symmetry Adapted Linear Combinations (SALCs)
  • Molecular Orbital Theory of Organic Compounds using SALCs
  • Inorganic Complexes
  • Molecular Vibrations (if time permits)

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Text books

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What we will learn

  • Symmetry classification of molecules: Symmetry Point Groups
  • Matrices: Geometry to algebra
  • Representations: Reducible and Irreducible
  • Group theory: Great Orthogonality Theorem
  • Character Tables: What, how and why
  • Symmetry Adapted Linear Combinations (SALCs)
  • Molecular Orbital Theory of Organic Compounds using SALCs
  • Inorganic Complexes
  • Molecular Vibrations (if time permits)

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Symmetry element and operation

Symmetry Operation Symmetry element

Something done to a molecule that leaves it in an equivalent configuration Point: Inversion (i) Line: Simple rotation (Cn) Complex Rotation (Sn) Plane: Reflection A geometrical entity with respect to which the operation is performed

Principal axis of symmetry: The axis with the largest n value Horizontal plane: Plane of reflection to which the principal axis is perpendicular Vertical Plane: Contains the principal axis Dihedral plane: Vertical plane which bisects the angle between C2 axes

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Symmetry point groups: Classification by Symmetry Operations

https://www2.chemistry.msu.edu/faculty/reusch/virttxtjml/symmetry/symmtry.htm

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Symmetry point groups: Classification by Symmetry Operations

https://www2.chemistry.msu.edu/faculty/reusch/virttxtjml/symmetry/symmtry.htm

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O H H

C2 σv σv’