Search

Using the energy components associated with density-functional theory (DFT) calculations and various descriptors from the density-functional reactivity theory (conceptual DFT), we explore which chemical effects are most important for determining the ordering the conformers of the twenty natural amino acids in terms of their relative energetic stability. Electrostatic and steric (alternatively, electrostatic and exchange–correlation) interactions are found to be most descriptive of conformer stability. We also introduce an approach for determining how well one or more descriptors order the conformers, without requiring a linear (or any other) correlation between the descriptors. This ordering/ranking paradigm is likely to be useful in many other contexts also. [ABSTRACT FROM AUTHOR]

We present explicit formulas for arbitrary-order derivatives of the energy, grand potential, electron density, and higher-order response functions with respect to the number of electrons, and the chemical potential for any smooth and differentiable model of the energy versus the number of electrons. The resulting expressions for global reactivity descriptors (hyperhardnesses and hypersoftnesses), local reactivity descriptors (hyperFukui functions and local hypersoftnesses), and nonlocal response functions are easy to evaluate computationally. Specifically, the explicit formulas for global/local/nonlocal hypersoftnesses of arbitrary order are derived using Bell polynomials. Explicit expressions for global and local hypersoftness indicators up to fifth order are presented. [ABSTRACT FROM AUTHOR]

We discuss an extension of the venerable Parr‐Pearson parabolic charge transfer model that explicitly includes 3rd order effects. We then use this new model to provide new arguments supporting the validity of Parr and Yang's "|Δμ| big is good" (DMB) principle. Additionally, we show how to re‐derive this principle from the Parr‐Pearson parabolic model, using simpler arguments than those presented in our previous proof of the DMB rule. [ABSTRACT FROM AUTHOR]