Probability Distribution of Enantiomorphous Forms in Spontaneous Generation of Optically Active Substances

Mathematics – Probability

Scientific paper

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Scientific paper

The crystallization of 1,1'-binaphthyl from its racemic melt is an example of spontaneous generation of optical activity. The distribution of specific rotations in 200 individual samples varied from [α ]D = -218 degrees to [α ]D = +206 degrees with a mean of +0.14 degree and standard deviation of 86.4 degrees. This resolution into enantiomers is determined by chance development, with equal probability, of right- or left-handed crystallites; it can b2 controlled and made stereospecific by addition of dissymmetric compounds at low concentrations.

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