DFT Correlation of the Site Selectivity of Donor–Acceptor Chemical Interaction

DFT Correlation of the Site Selectivity of Donor–Acceptor Chemical Interaction

Dulal C. Ghosh, Soma Bhattacharyya
DOI: 10.4018/978-1-4666-1607-3.ch005
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Abstract

In this study, the time evolution of concept local HSAB principle as a necessary prelude to our jargon of the trade Correlation of the Site Selectivity of Donor–Acceptor Chemical Interaction in terms of the Local Density Functional Descriptors is discussed at length . The authors try to correlate the known facts relating to the formations of some donor acceptor supermolecules such as HCN–BF3,HNC–BF3, H3C–CN–BF3 and H3C–NC–BF3 by the chemical interaction of a well known Lewis acid, BF3 and various donor ligands/Lewis bases like HCN,HNC,H3C–CN, H3C–NC which are inherently structural isomers having multiple donating sites, in terms of the local DFT descriptors like the local softness (s) and fukui functions (f) of such chemical systems. It is also noted that the dynamic chemico-physical process of site selectivity is found to have a very nice correlation in terms of the computed values of the local descriptors namely the fukui functions and the local softnesses. Thus, the authors find that the theoretical descriptors of the local HSAB principle can be efficiently exploited to study the mechanism of site selectivity in a chemical reaction.
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Introduction

In terms of the computed numerical values of the local descriptors, it has been observed that BF3 always attaches with the ligands through the B– end and never through the F– end– which is a well established experimental fact. The electronegativity and the chemical hardness are the two old but very important conceptual constructs of chemistry and physics from the early days of science. These conceptual constructs have been so important and indispensible that, without the concept and operational significance of hardness and electronegativity, chemistry and many aspects of condensed matter physics become chaotic and the long established unique order in chemico-physical world would be heavily disturbed. But these descriptors are fundamentally conundrums and are not the objects of the real world. We must make the position distinctly clear that these descriptors –the electronegativity and the hardness are not observables and according to the rules of quantum mechanics have no quantum mechanical operator to make their quantum mechanical evaluation feasible. Thus, these descriptors are qualitative per se and the possibility of their quantum mechanical evaluation is ruled out (Ghosh et al. 2009, 2010, 2011; Ghosh & Islam, 2010, 2011). One may find the resemblance between the appearance and significance of heuristically developed concepts of electronegativity and hardness in chemistry and physics and the unicorns of mythical saga (Frenking et al. 2007). They exist but never seen. We may refer to the opinion of Parr et al. (2005) who seem to have connected the reality of the hardness and the electronegativity with the noumenon of Kantian philosophy. The noumenon is an object knowable by the mind or intellect, not by the senses. Thus both the hardness and electronegativity are objects of purely intellectual intuition.

In order to mathematise these abstract concepts, it is required that these descriptors be reified goaded by their physico-chemical behavior. After the modeling, some algorithm has to be developed and some mathematical formulae be suggested for their evaluation. We feel it pertinent to recall the opinion of Ayers (2007) that before any algorithm of computing the hardness and the electronegativity is developed, the reification of abstract concept into things of the real world is absolutely necessary.

The current scenario of theoretical research in the domain of the density functional theory has basically three directions, namely, theoretical, conceptual, and computational (Kohn, Becke, & Parr, 1996; Liu & Parr, 1997; Parr & Yang, 1989; Parr & Yang,1995). The conceptual density functional theory has demonstrated its amazing power to quantify the qualitative theoretical principles and conceptual structure used for the understanding and rationalizing the relationship between molecular structure and reactivity for long time (Parr, Donnelly, Levy, & Palke, 1978; Parr, & Pearson, 1983; Sanderson, 1976; Ziegler, 1991). There is a paradigm shift in the realm of conceptual chemistry due to the density functional underpinning of Parr and co-workers. The useful qualitative entities like hardness and electronegativity which were abstract semiotic representations are now considered as theoretical quantities of cognitive representations.

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