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Modern Physics • • • • • Photoelectric Effect Bohr Model for the Atom Schrodinger Wave Equation Quantum Mechanical Tunneling Periodic Table of the Elements The Photoelectric Effect Em = h - q q = work function E1 +q Bohr Model for the Hydrogen Atom E2 -q -q The electron in its stable rest state. +q E2 h E1 The electron is excited to the first excited energy state, E2. Only certain energies are allowed by quantum mechanics. +q -q The electron looses energy as it falls back to the rest state. E2 - E1 = h Bohr Model for the Hydrogen Atom In Quantum Mechanics, the momentum , p, of a particle is equal to and integer, n, times Planks constant, h, divided by 2. Equating the electrostatic force and the centripetal force for the electron in the Bohr atom, we get the following. +q -q r Bohr Model for the Hydrogen Atom Bohr Model for the Hydrogen Atom Electron Orbits and Transitions in the Bohr Model Probability and the Heisenberg Uncertainty Principal The Schrodinger Wave Equation-Basic Postulates The Schrodinger Wave Equation-Basic Postulates The Schrodinger Wave Equation-Three dimensions The time independent equation in one dimension is Potential Well Problem. Potential Well Problem Solution Potential Well Problem Solution Potential Well Problem Solution Tunneling The Periodic Chart