Mathematical stereochemistry

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Mathematical Stereochemistry challenges the theoretical foundations of modern stereochemistry, which have historically lacked mathematical formulations and compatibility with chemoinformatics. The author introduces innovative interdisciplinary approaches, including group theory (Fujita’s unit-subduced-cycle-index, USCI) and the proligand method, with a focus on stereoisograms. The concept of RS-stereoisomers serves as a rational foundation to address conceptual errors and misleading terminology arising from traditional theories by van’t Hoff and Le Bel. This work suggests a thorough revision of classic organic and stereochemistry descriptions in textbooks at a deeper conceptual level. The proposed intermediate concept initiates a paradigm shift, reconstructing modern stereochemistry through mathematical formulations. Key features include a new theoretical framework for reorganizing mathematical stereochemistry, coverage of point-groups and permutation symmetry, and practical examples using organic molecules and inorganic complexes. This book is essential for chemistry students and researchers, as well as mathematicians interested in the chemical applications of mathematics. Shinsaku Fujita has held the position of Professor of Information Chemistry and Materials Technology at the Kyoto Institute of Technology and later established the Shonan Institute of Chemoinformatics and Mathematical Chemistry.