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

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

2005-02-17

arxiv.org/abs/physics/0502092v1

Int.J.Quant.Chem.104:885-893,2006

Physics

Chemical Physics

18 pages, to appear in Int. Jour. of Quantum Chemistry

Scientific paper

10.1002/qua.20613

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.

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