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Improving the Accuracy, Transferability, and Efficiency of Hybrid Density Functional Theory

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Abstract

Computing the ground state energy for a given molecular or condensed phase system is important for the understanding and theoretical prediction of chemical reaction thermodynamics and kinetics as well as molecular and materials properties. These tasks have far-reaching applications within chemistry, physics, and materials science alike. Consequently, the last several decades have seen the development of numerous so-called electronic structure theories to address this problem. Among these, density functional theory (DFT) has skyrocketed in popularity due to its favorable trade-off between accuracy and computational cost, resulting in hundreds of density functional approximations (DFAs), most of which can be classified into empirical/non-empirical approximations used primarily for molecular/condensed phase systems, respectively. In this thesis, I will discuss the development of both DFAs that bridge this historical gap and algorithms to enable their application to large-scale condensed phase systems. In Chapter 1, I use DFT to develop a rational design procedure for tuning the mechanical properties of metallopolymers by altering metal-ligand interactions. In Chapter 2, I design and construct a large benchmark database of short-range non-covalent interactions for the testing and development of density functional approximations. In Chapter 3, I design and construct a large benchmark database of conformational energies for the testing and development of density functional approximations. In Chapter 4, I describe a general framework that unites constraint-satisfying and data-driven strategies for the development of new DFAs with greater accuracy and transferability. I then extend this framework to the direct optimization of DFAs on data that cannot be easily described as simple energy differences (i.e. molecular geometries and electron densities). Finally, in Chapter 5, I develop a linear-scaling, nearly black-box algorithm for the evaluation of the exact exchange interaction of hybrid DFAs in large-scale (possibly heterogeneous) finite-gap condensed-phase systems. Taken in concert, these chapters argue for the development of benchmark quantum chemical databases for the construction of data-driven constraint-satisfying hybrid DFAs with extended applicability for molecular and condensed phase systems alike.

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2023-05

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Database; Density Functional Theory; DFT; Electronic Structure; Exact Exchange; Quantum Chemistry

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DiStasio, Robert

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Hines, Melissa
Loring, Roger

Degree Discipline

Chemistry and Chemical Biology

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Ph. D., Chemistry and Chemical Biology

Degree Level

Doctor of Philosophy

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dissertation or thesis

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