115 research outputs found

    Toward Improved Electronic Structure of Molecules and Solids: Development Of New Exchange Functionals

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    This thesis advances both the methodological foundations and applied frontiers of electronic structure theory toward sustainable energy and environmental applications. It unites the development of new density functional approximations with first-principles design of functional materials, aiming for accuracy, efficiency, and transferability across molecular, solid-state, and low-dimensional systems. The work begins with a rigorous exposition of the many-body problem and the Kohn–Sham density functional theory (DFT) framework, emphasizing the need for accurate exchange–correlation modeling to overcome the limitations of local and semilocal approximations—namely self-interaction, delocalization, and band-gap errors. Building upon this, a generalized formalism for range-separated generalized gradient approximation (GGA) exchange was developed, yielding analytical short- and long-range damping functions and a modular Fortran 90 implementation suitable for hybrid functional construction. The first part of the thesis applies state-of-the-art DFT to clean-energy materials design. Using the HSE06 screened hybrid functional, Cu-doped Ba₃CaNb₂O₉ and Ba₂YNbO₆ were identified as promising visible-light photoelectrocatalysts for water splitting, where Cu substitution and oxygen vacancies jointly modulate the band structure and enhance charge separation. Complementarily, PBE-D3 calculations revealed a new two-dimensional metallic Li₂BC sheet, intrinsically and extrinsically stable, with exceptional hydrogen storage (10.98 wt%), lithium-ion storage (3352 mAh g⁻¹), and pollutant-sensing potential. Motivated by the insights and limitations revealed through these studies, the second part of the thesis advances the methodological frontiers of DFT via the development of new exchange and hybrid models. The Ghosh–Oshi–Salahub (GOS) GGA exchange functional introduces a rational, damping-controlled enhancement factor that satisfies ab initio constraints. Building on this foundation, the Ghosh–Salahub (GS) and Ghosh–Salahub–Gill (GSG) screened hybrid functionals achieve balanced and transferable accuracy across molecular, transition-metal, and solid-state systems. Benchmarks against the Ghosh–Oshi–Salahub-0 (GOS-0) database confirm their performance comparable to, or exceeding, established hybrids such as PBE0 and HSE06. Together, these developments bridge practical materials discovery with theoretical innovation, charting a coherent pathway toward next-generation electronic-structure modeling and sustainable materials design

    Molecular structure and interactions of water intercalated in nickel hydroxide

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    The structure and properties of α-Ni(OH)2 containing water and nitrate have been investigated computationally.</p

    Atomistic Modeling of Friction

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