title: Continuous symmetry analyses: C(nv)  and D(n)  measures of molecules, complexes, and proteins.
abstract: The continuous symmetry methodology has been developed to provide a quantitative estimation for the degree of a selected symmetry point-group in a molecular structure. Previous developed measures included the C(S), C(n), S(n) (including C(i)) symmetries, several polyhedral symmetries, and the related chirality measure. Motivated by the abundance and importance of C(nv) symmetry in many key molecules and by the abundance of D(n) symmetry in many organometallic complexes and in many protein clusters, measures for these symmetries, based on the general definition of the continuous symmetry measure, were developed. Detailed description of the derivation of the measures, along with plenty of examples for their application, is provided.
authors.affiliation: Institute of Chemistry and The Lise Meitner Minerva Center for Computational Quantum Chemistry. pinsky@cc.huji.ac.il
authors.forename: Mark
authors.initials: M
authors.lastname: Pinsky
authors.forename: Amir
authors.initials: A
authors.lastname: Zait
authors.forename: Maayan
authors.initials: M
authors.lastname: Bonjack
authors.forename: David
authors.initials: D
authors.lastname: Avnir
mesh_terms: D008958:Models, Molecular; D056004:Molecular Dynamics Simulation; D009942:Organometallic Compounds / Q000737:chemistry*; D011506:Proteins / Q000737:chemistry*; D012996:Solutions
chemical_list: D009942:Organometallic Compounds; D011506:Proteins; D012996:Solutions