The Schrödinger Equation and the Periodic Table of the Elements

Explore the mathematical foundations behind atomic structure and the periodic table through this 48-minute conference lecture examining how the Schrödinger equation explains elemental properties. Delve into the historical attempts by Fermi in 1927 to explain the Aufbau principle and discover why this fundamental principle of orbital filling order is actually questionable. Learn how Fermi's mathematical results remain accurate despite contradicting traditional Aufbau theory, and investigate the deeper question of periodicity in the periodic table - why elements in the same group exhibit similar chemical properties. Examine the challenges of solving the many-body Schrödinger equation for complex atomic systems and understand how simplified mean-field approaches can provide insights into chemical periodicity. Gain mathematical perspective on the relationship between quantum mechanics and chemistry, exploring both the successes and limitations of theoretical approaches to understanding atomic structure. Discover cutting-edge research connecting fundamental physics equations to the organization of matter that forms the basis of modern chemistry.