General performance of density functionals.

Area of Science:

• Computational Chemistry
• Quantum Mechanics
• Materials Science

Background:

• Density Functional Theory (DFT) has roots in the 1920s, gaining prominence after the 1960s with Hohenberg, Kohn, and Sham.
• The development of functionals like B3LYP in the 1990s propelled DFT into widespread computational chemistry applications.
• DFT provides a balance between accuracy and computational cost, outperforming traditional methods like post-Hartree-Fock for electron correlation.

Purpose of the Study:

• To provide a historical overview of Density Functional Theory.
• To categorize and discuss the various types of density functionals available.
• To benchmark the performance of different DFT functionals across a range of chemical properties and systems.

Main Methods:

• Review of historical development of DFT.
• Analysis of current density functional types.
• Benchmarking studies of DFT performance using recent literature.

Main Results:

• DFT is computationally efficient for achieving high accuracy in calculations.
• A wide array of density functionals exist, each with strengths and weaknesses.
• Performance varies significantly across different chemical properties and system types.

Conclusions:

• DFT is a powerful and versatile tool in computational chemistry.
• The choice of DFT functional is critical for accurate predictions.
• Recent benchmarking provides guidance for selecting appropriate functionals, with a focus on B3LYP's relative performance.