Regarding enumeration of molecular isomers

Area of Science:

• Chemistry
• Mathematical Chemistry
• Computational Chemistry

Background:

• Counting isomers is crucial in chemistry for understanding molecular diversity.
• Existing methods may lack a unified theoretical framework for diverse molecular symmetries.

Purpose of the Study:

• To develop a simple, unified theoretical approach for counting substitution isomers.
• To extend the application of Polya's theorem and point group theory to isomer counting.
• To analyze the occurrence of stereoisomers within this framework.

Main Methods:

• Application of Polya's theorem.
• Utilizing point group theory for molecular symmetry analysis.
• Developing theoretical models for isomer enumeration.

Main Results:

• A generalized method for counting substitution isomers is established.
• The approach is demonstrated to be effective for molecules across a wide symmetry spectrum, from asymmetric to icosahedral (Ih) symmetry.
• The analysis provides insights into the conditions for stereoisomer formation.

Conclusions:

• The proposed theoretical approach offers a robust and versatile tool for isomer counting.
• This method simplifies the enumeration of substitution isomers, particularly for complex symmetric molecules.
• The work contributes to a deeper understanding of molecular structure and isomerism.