Quantum Mechanics Terry A. Ring University of Utah Movement of the Electron around the Nucleus Erwin Rudolf Josef Alexander Schrödinger Born: 12 Aug 1887 in Erdberg, Vienna, Austria Died: 4 Jan 1961 in Vienna, Austria Nobel Prize in Physics 1933 "for the discovery of new productive forms of atomic theory" Time Dependent Wave Equation! Time Independent Spherical Coordinates f r q Three Part Solution Energy of the electron Energy is related to the Principle Quantum number, n. This gives 3 of the 4 quantum numbers, the last one is the spin quantum number, s, either +½ or – ½. Wave Functions Probability to find an electron Energy of the electron Electron Transitions give off Energy as Light/Xrays E=hc/l Red/Blue Clouds in Space Zeeman Effect Light Emission in Magnetic Field Multi-electron Atoms (Wolfgang) Pauli Principle Exclusion Principle No 2 electrons with same quantum numbers! Periodic Table of the Elements Dmitri Mendelyeev, 1869. Light Emission from Elements Predicted Shape of Molecules B2H6 What do you want to be when you grow up? • Many possibilities to use your scientific education! – Biologist – Chemist – Physicist – Engineer • YOUR DECISION HAS CONSEQUENCES! – $$$$$$ Job Growth • Growth rate is ~10%/yr Salary Information Chem. Eng. • Median Salary for B.S. =$62,000/yr • Starting Salary ~$52,000/yr