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The maximum hardness (MHP) 1,2 and the minimum polarizability (MPP)3 principles are among the most widely accepted electronic structure principles of chemical reactivity. First proposed by Pearson, the MHP asserts that molecular systems at equilibrium tend to the state of maximum hardness ( η). More recently, on the basis of an inverse relationship between hardness and polarizability ( R),4 Chattaraj and Sengupta 3 introduced the MPP. This principle states that the natural evolution of any system is toward a state of minimum polarizability. Both principles have been applied successfully to the study of molecular vibrations, 2,5-8

On the Validity of the Maximum Hardness and Minimum Polarizability Principles for Nontotally Symmetric Vibrations