Sub-content

Group theory

 

Group theory: overview

Set and subset

Binary operation

Group

Symmetry element and symmetry operation

Point group

Molecular point group

Similarity transformation

Crystallographic point groups

Class

Group representations

Reducible and irreducible representations

Unitary representation

Elementary row operation and elementary matrix

Determinant of a matrix

Schur’s first lemma

Schur’s second lemma

Great orthogonality theorem

Little orthogonality theorem

Decomposition of group representations

Regular representation

Character table

Basis

Symmetry of the Hamiltonian

Symmetry and degeneracy

Direct product representation

Vanishing integrals

Projection operator

Symmetry adapted linear combination (SALC) of orbitals

Molecular orbital digram

Degrees of freedom

Determining the degrees of freedom of a molecule using group theory

Group theory and infra-red spectroscopy

Group theory and its applications in organic chemistry

Group theory and its applications inorganic chemistry

Ligand field theory

Subgroup (descent of symmetry)

Correlation diagram

Content page of advanced chemistry

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