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Explore the limitations of Density Functional Theory (DFT) and discover advanced computational methods to overcome these challenges in this comprehensive lecture by Dr. Nicola Colonna from the 2017 ICTP workshop. Examine the notable failures of standard DFT approaches and learn about sophisticated remedies including hybrid functionals, van der Waals (vdW) corrections, and the Adiabatic Connection Fluctuation-Dissipation Theorem (ACFDT) method. Gain insights into how these advanced techniques address the shortcomings of conventional DFT calculations, particularly in describing long-range interactions, correlation effects, and electronic structure properties that standard functionals struggle to capture accurately. Understand the theoretical foundations behind these correction methods and their practical applications in materials science and quantum chemistry calculations.
