R. Carbodorca et E. Besalu, EXTENDING MOLECULAR SIMILARITY TO ENERGY SURFACES - BOLTZMANN SIMILARITY MEASURES AND INDEXES, Journal of mathematical chemistry, 20(3-4), 1996, pp. 247-261
Maxwell-Boltzmann statistics provides the adequate mathematical backgr
ound allowing to define similarity measures involving molecular energy
surfaces and electrostatic potential maps. Boltzmann similarity measu
res are described and various illustrative examples are used to show t
he practical viability of the theory. A new molecular similarity index
is also presented. Finally, hybrid measures involving Boltzmann and d
ensity distributions are defined.