Abstract

We report on the first formulation of a novel polarizable QM/MM approach, where the density functional tight binding (DFTB) is coupled to the fluctuating charge (FQ) force field. The resulting method (DFTB/FQ) is then extended to the linear response within the TD-DFTB framework and challenged to study absorption spectra of large condensed-phase systems.

Highlights

  • The theoretical modeling of large molecular systems, with application in biological and technological fields, is one of the most challenging tasks for theoretical and computational chemistry.[1,2] the description of large molecular systems requires the treatment of a large number of degrees of freedom, from both nuclear and electronic points of view.[1,2] For this reason, high-level quantum mechanics (QM) methods are usually not applicable because they are usually associated with an unfavorable scaling with the number of atoms.[3]

  • The self-consistent charge density functional tight binding (DFTB) approach (SCC-DFTB), which corresponds to a second-order expression of the KS energy, has been successfully applied to the calculation of energies, geometries, and vibrational frequencies of small organic molecules; its accuracy when compared with experimental values is comparable to that of full density functional theory (DFT) calculations performed with a double-ζ plus polarization basis set.[17]

  • We have substantially extended the applicability of the polarizable QM/FQ approach by proposing a novel polarizable QM/FQ scheme based on the DFTB approach for the QM portion, allowing for the treatment of large, complex biomolecular systems

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Summary

INTRODUCTION

The theoretical modeling of large molecular systems, with application in biological and technological fields, is one of the most challenging tasks for theoretical and computational chemistry.[1,2] the description of large molecular systems requires the treatment of a large number of degrees of freedom, from both nuclear and electronic points of view.[1,2] For this reason, high-level quantum mechanics (QM) methods are usually not applicable because they are usually associated with an unfavorable scaling with the number of atoms (and electrons).[3]. One of the most used is the density functional tight binding (DFTB) approach.[15−17] The theoretical starting point of such method is the density functional theory (DFT) energy in the Kohn−Sham (KS) framework, expressed by means of a linear combination of atomic orbitals (LCAO) over a minimal basis set This quantity is approximated by means of a Taylor expansion with respect to a reference density truncated at different orders by generating a hierarchy of DFTB methods.[15] In particular, the self-consistent charge DFTB approach (SCC-DFTB), which corresponds to a second-order expression of the KS energy, has been successfully applied to the calculation of energies, geometries, and vibrational frequencies of small organic molecules; its accuracy when compared with experimental values is comparable to that of full DFT calculations performed with a double-ζ plus polarization basis set.[17] a timedependent DFTB (TD-DFTB) approach has been developed to calculate excitation energies in a tight-binding fashion.[18,19] it has been shown that the standard pure or hybrid DFT functionals are not able to accurately treat charge-transfer excitations because their extension to the corresponding longrange-corrected versions is necessary.[20,21] In this context, the time-dependent long-range-corrected DFTB approach (TDLC-DFTB)[22] has recently been proposed and explicitly designed for the treatment of charge-transfer states in large chromophores.

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