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New Compounds Derived from Stereoisomers of 2,4-Diphenylcyclobutane-1,3-Dicarboxylic Acids, 1,4-Diphenylcyclobutane-2,3-Dicarboxylic Acids and their Alkaloidal Precursors, The Truxillines: Theoretical Elucidation Based on Pólya’s Counting Theory

Emadak A, Patouossa I and Tchoutezo WS

New compounds derived from stereoisomers of 2,4-diphenylcyclobutane-1,3-dicarboxylic acids or truxillic acids, 1,4-diphenylcyclobutane-2,3-dicarboxylic acids or truxinic acids and their alkaloidal precursors, the truxillines, are elucidated through application of the Pólya’s formalism. The counting sequence of stereoisomers of those chemical compounds which belong to the family of heteropolysubstituted monocyclobutane derivatives is consistent with the chemical enumeration method using theorem of Pólya which comprises key steps such as representation of graph, permutation of symmetry’s operations, cycle index, topological and enantiomerical indicator and generating functions. This method leads to a system of equations which is solved to obtain the number of chiral and achiral graphs of stereoisomers of truxillic acids, truxinic acids and the truxillines among which few compounds are not yet chemically well-known.