Chiral Tetrahedrons as Unitary Quaternions: Molecules and Particles Under the Same Standard?

Abstract

Chiral tetrahedral molecules can be dealt under the standard of quaternionic algebra. Specifically, non-commutativity of quaternions is a feature directly related to the chirality of molecules. It is shown that a quaternionic representation naturally comes out from empirical Fischer projections and the action of the related algebra on the quantum states of molecules is studied. Analogies with fundamental particle physics are discussed.

arXiv comment18 pages, to appear in Int. Jour. of Quantum Chemistry

References in corpus (3)

• Algebraic structure of central molecular chirality starting from Fischer projections
• Geometrical approach to central molecular chirality: a chirality selection rule
• Quantum mechanical considerations on algebraic structure of central molecular chirality

Cited by in corpus (5)

• Spiral Galaxies as Chiral Objects?
• Spiral Galaxies as Enantiomers: Chirality, an Underlying Feature in Chemistry and Astrophysics
• A Langevin canonical approach to the dynamics of two level systems. I. Populations and coherences
• Geometrical and Algebraic Approach to Central Molecular Chirality: a Chirality Index and an Aufbau Description of Tetrahedral Molecules
• Description of chiral tetrahedral molecules via an Aufbau approach