Abstract
Abstract The symmetry of a pair of two chair-forms of cyclohexane is represented by the pseudo-point group of order 24. Preparation of the mark table of the group shows the twelve substitution positions of the pair to be governed by the coset representation (/Cs). After the calculation of subduction of the (/Cs), cyclohexane derivatives are combinatorially enumerated by the USCI (unit-subduced-cycle-index) approach. A generating-function method and the elementary superposition theorem are used, giving values itemized with respect to molecular formulas and subsymmetries of . Since pseudo-point groups can be classified into iso- and anisoenergetic groups as well as into achiral and chiral groups, four categories (isoenergetic-achiral, isoenergetic-chiral (Type II), anisoenergetic-achiral (Type III), and anisoenergetic-chiral (Type IV)) are generated. The isoenergetic-achiral case is further subdivided into two cases (Type I and I′). Several pairs are illustrated and discussed in the light of this classification. The concept of chronality is also discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
