Recently reported, new-generation superaugmented eccentric connectivity indices SA n c ð Þ have been significantly improved for the purpose of QSAR/ QSPR modeling. Four new superaugmented eccentric connectivity indices (denoted by: SA n c 4 ; SA n c 5 ; SA n c 6 ; and SA n c 7 ) along with their topochemical versions (denoted by: SAc n c 4 ; SAc n c 5 ; SAc n c 6 ; and SAc n c 7 ) have been conceptualized in the present study. The values of these indices for all the possible structure of three, four, and five vertices were computed using an in-house computer program. Proposed topological indices revealed absence of intercorrelation with Wiener's index (W), Balaban's index (D), Randic's molecularconnectivity index (v), and eccentric connectivity index (n c ). The superaugmented eccentric connectivity index-7 SA n c 7 À Á exhibited exceptionally high discriminating power of the order of [300,000 for all possible structures containing only five vertices. High sensitivity toward branching, exceptionally high discriminating power amalgamated with negligible degeneracy offer proposed indices a vast potential for use in the characterization of structures, similarity/dissimilarity studies, lead identification, lead optimization, combinatorial library design, and quantitative structure-activity/structure-property relationships to facilitate drug design.