Abstract

A set of characteristics calculated within the scope of quantum chemistry methods may be assigned to local ones changing from atom to atom in complex systems. Simple averaging of the related values gives rather poor characteristics of the systems because various fractions of certain atoms can have different surrounding and, therefore, different characteristics, which may not correspond to the average one. The aim of this study is searching a more appropriate pathway to transform local characteristics, e.g., atomic charges, into nonlocal ones based on the distribution functions. The distribution functions of atomic charges (CDF) could be considered as a simple tool to analyze nonuniform complex systems since specificity of different fractions of atoms reflects in the CDF shape. As a whole, the approach accuracy and efficiency depend on the quality and appropriateness of molecular and cluster models used, as well as on the quantum chemical methods (ab initio, DFT, and semiempirical) and the basis sets used. Nanosystems with dozens of molecules (clusters, domains, nanodroplets), modelling a liquid phase or interfacial layers, and solid nanoparticles of almost real sizes (> 40 units, > 2 nm) may be considered as more appropriate models of real systems than the models with several molecules and small clusters (< 20 units, < 1 nm). This approach has been applied to a set of representatives of such various materials as activated carbon, porous and nanoparticulate silicas unmodified and modified interacting with nitrogen, methane, water, human serum albumin (HSA) binding doxorubicin molecules. This approach may give information useful upon the analysis of any complex system.

Highlights

  • IntroductionAccording to quantum chemical calculations, the electronic characteristics of molecular and cluster systems could be divided into local (e.g., atomic charges, magnetic shielding tensors or chemical shifts, bond length, strength and vibrations, etc.) and nonlocal (molecular orbitals, MO, electron bands, total energy, solvation energy, etc.) ones [1,2,3,4,5,6,7,8,9]

  • According to quantum chemical calculations, the electronic characteristics of molecular and cluster systems could be divided into local and nonlocal ones [1,2,3,4,5,6,7,8,9]

  • This was done upon calculations of interfacial structures with water, methane, nitrogen, and human serum albumin (HSA) binding doxorubicin (DOX) interacting with nanoparticles of unmodified and modified silicas, alumina, alumina/silica, titania/silica, and activated carbon as representatives of different systems using the density functional theory (DFT) and semiempirical (PM7) methods [14, 15]

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Summary

Introduction

According to quantum chemical calculations, the electronic characteristics of molecular and cluster systems could be divided into local (e.g., atomic charges, magnetic shielding tensors or chemical shifts, bond length, strength and vibrations, etc.) and nonlocal (molecular orbitals, MO, electron bands, total energy, solvation energy, etc.) ones [1,2,3,4,5,6,7,8,9]. Some of the latter may be represented as local or quasi-local characteristics (e.g., localized MO, spin density, etc.). This was done upon calculations of interfacial structures with water, methane, nitrogen, and human serum albumin (HSA) binding doxorubicin (DOX) interacting with nanoparticles of unmodified and modified silicas, alumina, alumina/silica, titania/silica, and activated carbon as representatives of different systems using the density functional theory (DFT) and semiempirical (PM7) methods [14, 15]

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