Do all the reading assignments. Exam Study Practice Do all the reading assignments. Be able to solve all the homework problems without your notes. Re-do the derivations we did in class on your own. Equations given: See Formula Posted Read my online notes.

Exam Study Questions for Crystals What is a crystal? What is a lattice? What are the lattice primitive translation vectors? What is an atomic basis? What is a unit cell? What is the primitive unit cell? Be able to point out a unit cell, give the atomic basis, generate a lattice with translation vectors, write the translation vectors for a lattice, give a primitive unit cell.

Exam Study Questions for Quantum Effects What is the photo-electric effect, why is it important? What is a photon? What is the energy of a photon? What increases when light intensity? (brightness) increases? Why do atoms emit light? Why do atoms emit light at very specific frequencies? What is the Bohr Atom, what did it explain? What two forces are equated to analyze the Bohr atom? What physical quantity did Bohr quantize (limit to specific values)? Why did the Bohr atom not predict? What fundamental equation of QM can predict the hydrogen atom fine emission spectrum.

Exam Study Questions for Quantum Effects Be able to separate the original time-space partial differential SWE into two separate Eigenvalue equations, one for space and one for time (just like we did in class)? What must be true about the potential in the SWE to use separation of variables. What is the solution to the SWE? What is the relationship between the wave function and the probability of finding a particle? What are the momentum and position operators in QM? Be able to calculate the expected values of position and momentum. What does the Heisenberg Uncertainty Principle say? How is it related to the ideas of probability and the wave-function? Explain particle tunneling. Can it be predicted using classical or QM, why?

Exam Study Questions for Quantum Effects Solve SWE for Free Particle Infinite Well Finite Well (You don’t have to be able to get coefficients, just know which ones are zero. Hydrogen Atom Know about separation of variables for the three spherical coordinates Know Solution for the m (azimuthal angle). This is the simple one. Know about the Associated Legendre Polynomials and what they are the solution to. Know how the Associated Legendre Polynomials are related to l & m , and how l & m are related to the s,p,d,f suborbitals. Know the energy levels, where they come from (Radial equation), and the quantum number n.