Algebraic structure of central molecular chirality starting from Fischer projections

Abstract

The construction of algebraic structure of central molecular chirality is provided starting from the empirical Fischer projections for tetrahedrons. A matrix representation is given and the algebra of O(4) orthogonal group for rotations and inversions is identified. The result can be generalized to chains of connected tetrahedrons.

15 pages

References in corpus (1)

• Geometrical approach to central molecular chirality: a chirality selection rule

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• Geometrical and Algebraic Approach to Central Molecular Chirality: a Chirality Index and an Aufbau Description of Tetrahedral Molecules
• From Fischer projections to quantum mechanics of tetrahedral molecules: new perspectives in chirality
• Chiral Structures Under the Standard of Orthogonal Groups