Pólya's Isomer Enumeration Method: A Unique Exercise in Group Theory and Combinatorial Analysis for Undergraduates

S. Pevac and G. Crundwell
Department of Chemistry, Central Connecticut State University, New Britain, CT 06053
J. Chem. Educ., 2000, 77 (10), p 1358
DOI: 10.1021/ed077p1358
Publication Date (Web): October 1, 2000

Abstract

The use of Pólya's isomer enumeration method (IEM) to determine the number of deuterated isomers of boat cyclohexane, C6H12-xDx, is explained in detail. Determining the total number of deuterated chair cyclohexanes is left as a supplemental exercise. IEM is an elegant and powerful example of mathematics in chemistry and is an excellent source of class material for chemistry courses that include elementary concepts of group theory.

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Keywords (Audience):

Second-Year Undergraduate

Keywords (Domain):

Inorganic Chemistry

Keywords (Subject):

Group Theory / Symmetry

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History

  • Received: August 03, 2009

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