ENEE 313, Fall ’08 Midterm I Preparation1. Be able to solve the quizzes and homework problems.2. From the book, read:(a) Chapter 1, Sect. 1.1 and 1.2(b) Chapter 2, all sections(c) Chapter 3, all sections except 3.1.5, 3.4.53. Look through the self-quiz problems at the end of chapters.4. Equations you might need will be provided, including 2.16, 2.23, 2.27, 2.33, 3.1, 3.3, 3.10,3.15, 3.16a, 3.19, 3.20, 3.25, 3.39, 3.40a, and others.5. Know the derivations we did in class.6. There will be true/false or fill-in-the-blanks questions about concepts and definitions.7. Some study questions about crystals and quantum physics:(a) What is a crystal?(b) What is a lattice?(c) What are lattice translation vectors?(d) What is a basis or atomic basis?(e) What is a unit cell?(f) What is the primitive unit cell, or primitive cell?(g) Can you recognize and point out the unit cell of a crystal, identify the lattice type,atomic basis, or the primitive cell?(h) Can you find the Miller indices of a plane in a 3-D crystal that is pointed out to you?Can you identify which atoms in the crystal fall in a given plane? Can you visualize thespatial relationship between the atoms in the diamond lattice?(i) What is the photo-electric effe ct? What conditions are necessary for it to work?(j) What is a photon? What is the energy of a photon?(k) What is related to light intensity? What is related to the energy carried by a beam oflight?(l) Why do atoms emit light at specific frequencies, and how?(m) What are the postulates behind the Bohr atom? How do we obtain the quantization byanalyzing the B ohr atom? What physical quantity is quantized?(n) Can you use separation of variables on the full time- and space-dependent Schr¨odingerWave Equation (SWE) to obtain the individual time-dependent and space-dependentequations? Can you write the time-dependent solution? Can you write the space-dependent solution for the free particle and particle in a potential well? Can you plugin a given solution and use boundary conditions to derive relationships between thequantities in the resulting wavefunction and the energy?1(o) What is the physic al interpretation of the wavefunction? How do you use the wavefunc-tion and quantum-mechanical operators to find expected values of observable quantitiessuch as position and momentum?(p) What is the Heise nberg Uncertainty principle?(q) What is tunneling? How and when can it happen?8. Know about the following:(a) Allowed energy bands and the bandgap(b) Requirement for bands to conduct electricity: Available empty states(c) Valence and conduction bands, electron distribution at 0 Kelvin temperature(d) Electron-hole pair generation at T>0 K, electron conduction in the conduction band andhole conduction in the valence band(e) Intrinsic semiconductors, intrinsic carrier density(f) Fermi-Dirac distribution function, Fermi Level, definition and physical meaning(g) Density of states and effective density of states(h) Doping: Donors, acceptors(i) Extrinsic semiconductors: n-type and p-type(j) Impurity compensation(k) Equilibrium hole and electron concentrations in extrinsic semiconductors, relationshipsto dopant concentration and to each other(l) Relationship of the Fermi level to carrier concentrations(m) Law of mass action (n0p0= n2i) in equilibrium(n) Band structure, E-k relationships, effective mass, scattering mechanisms(o) Conductivity, mobility, mean free time(p) Average velocity of carriers in an electric field, drift