MCR XVI. Mathematical Support for Combinatorial Chemistry

The algebra of the s- and r-vectors is an adequate formal tool to describe chemical objects in an abstract way. Compounds as well as reactions are represented, including all constitutional and configurational aspects. The stereochemistry of simple organic molecules as well as those of metal-organic compounds may be described in a unique way. Ionic bonds, covalent bonds, aromatics, and electron-deficiency compounds can formally be described without loss of information. Even reaction types and the flow of electrons can be described by this algebra. The biggest benefit of this approach is its intrinsic group theoretical structure. This does not bother the chemist for its use but allows a computer to handle and structure huge amounts of chemical data. This is especially important for combinatorial chemistry, which deals with huge sets of chemically distinct molecules, the so-called molecular libraries.