Mathematical Stereochemistry

From the Content:

Introduction:
Graphs and 3D Structures
Structural Formulas and 3D Structural Formulas
Isomers and Stereoisomers


3D Structures and Proligand-Promolecule Model:
Constitutions, Configurations and Conformations
Skeletons for Graphs
(Stereo)skeletons for 3D structures
Ligands and Proligands
Molecules and Promolecules
Reflections vs. Permutations

Point-Group Symmetry:
Point Groups
Groups and Subgroups
Relational Terms and Attributive Terms
Chirality and Enantiomeric Relationships
Global Symmetries and Local Symmetries
Coset Representations and Orbits
Sphericities

RS-Permutation-Group Symmetry
Permutation Groups
Stereogenicity and Diastereomeric Relationships
RS-Permutation Groups
Relational Terms and Attributive Terms
RS-Stereogenicity and RS-Diastereomeric Relationships
Global Symmetries and Local Symmetries
Tropicities

Stereoisogram Approach of (Self-)Enantiomers and Stereogenicity:
Quadruplets of RS-Stereoiomers and RS-Stereogenicity
Stereoisograms of Five Types
RS-Stereoisomeric Groups
RS-Stereoisomerism and Stereoisomerism Chapter 5 Enumeration of Chemical Compounds
Polya's Enumeration of Graphs
Fujita's Proligand Method for Enumerating 3D Structures
Symmetry-Itemized Enumeration (the USCI approach)
Enumeration of Chemical Compounds as RS-Stereoisomers

Monosubstituted Alkanes and Alkanes:
Asymmetric and Pseudoasymmetric Carbons
Monosubstituted Alkanes
Alkanes

Mathematical Foundations of Stereochemical Nomenclatures:
Chirality, RS-Stereogenicity, and Sclerality
Mathematical Foundations of Cahn-Ingold-Prelog (CIP) System
Prochirality vs. Pro-RS-Stereogenicity
Mathematical Foundations of Pro-R/Pro-S-Descriptors

Applications:
Ethylenes
Biphenyls
Cyclohexanes
Allenes
Adamantanes
Cubanes
Fullerenes
Prismanes
Square Complexes
Trigonal Pyramidal Complexes
Octahedral Complexes
Ferrocenes

Shinsaku Fujita, Kanagawa-ken, Japan.