By Biasi C., de Mattos D.
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Extra info for A Borsuk-Ulam Theorem for compact Lie group actions
Stereodescriptors are aR, if the substituents’ priority rotates in a clockwise manner, and aS for anti-clockwise rotation. Helical chirality, a special case of axial chirality, is given when a molecular structure describes the form of a helix around an axis. If the molecule describes a helix in a clockwise manner away from the viewer, we call it a P-helix (P for plus), if it rotates in an anticlockwise manner away from the viewer, it is called a M-helix (M for minus). In DNA (P-helix), starch, and proteins (P-helix), helical chirality is of importance.
Nowadays, a directed vortex in a liquid is also to be considered an external driving force since this vortex was somehow surprisingly proven to induce an asymmetry into an arrangement of organic molecules. It was indeed the direction of stirring in terms of left or right revolution that determined the left or right helicity of a spiral association of compounds in a predictable manner (Rib´o et al. 2001). Other driving forces that determine the outcome of an enantiomeric excess in a non-random process include directed magnetic fields, the weak force as an internal driving force (Yamagata 1966), spin-polarized electrons (Musigmann et al.
COSAC’s GC/TCDMS equipment was mainly designed and fabricated at the Max Planck Institute for Solar System Research in Katlenburg-Lindau, Germany. In supplement to COSAC’s achiral stationary phases whose selection, development, and combination are described by Szopa et al. (1999, 2000, 2007), three capillary columns that are doted with a chiral liquid film on its inner surface were designed to separate a variety of chiral organic molecules into their enantiomers in order to determine their enantiomeric excess (Meierhenrich et al.