• Discuss carrier drift current density. • Discuss the mechanisms of lattice scattering and impurity scattering. • Define mobility and discuss the temperature and ionized impurity concentration dependence on mobility.
1. Describe carrier drift current density and carrier diffusion current density. Define conductivity and resistivity. What’s the Einstein relationship? 2. Discuss the mechanisms of lattice scattering and impurity scattering. What are the temperature and ionized impurity concentration dependence on mobility? 3. Discuss velocity saturation.
3-Checkpoint • Discuss the concept of allowed and forbidden energy bands in a single crystal both qualitatively and more rigorously from the results of using the Kronig-Penney model. • Discuss the splitting of energy bands in silicon. • Discuss the concept of a hole in terms of the effective mass, covalent bonding and energy bands. • Qualitatively, in terms of energy bands, discuss the difference between metals, insulators, and semiconductors. • Understand the density of states function. • Understand the meaning of the Fermi-Dirac distribution and the Fermi energy.
• Derive the equations for the thermal equilibrium concentrations of electrons and holes in terms of the Fermi energy. • Derive the equation for the intrinsic carrier concentration. • State the value of the intrinsic carrier concentration for silicon at T=300K.
• List some elemental and compound semiconductor materials. • Sketch lattice structures: simple cubic, bodycentered cubic, face-centered cubic and the diamond structure. • Find the volume density and the surface density of atoms. • Obtain the Miller indices (lattice directions and planes).
quantum mechanics, energy quanta, wave-particle duality, the uncertainty principle.
Schrodinger's wave equation, eletrons in free space , the infinite potential well, the step potential function, the potential barrier.


List and explain priciples of quantum mechanics. Schrodinger's wave equation: Write the wave equation. What is the physical meaning of the wave funciton? What is the boundary conditions? Derive the wave function of an electron in free space. What conclusion could you obtain from this solution?
Terms:
• charge carriers, effective density of states function, the intrinsic carrier concentration, the intrinsic Fermi level.
Terms:
donor impurity, acceptor impurity, the charge neutrality condition, compensated semiconductor, degenerate, non-degenerate, position of EF, variation of EF with doping concentration and temperature.



List some elemental and compound semiconductor materials. Sketch lattice structures: simple cubic, body-centered cubic, facecentered cubic and the diamond structure. 1.1 1.16 (1.12 of the old edition)
• List the priciples of quantum mechanics. • Schrodinger’s wave equation: üWrite the wave equation. üWhat is the physical meaning of the wave funciton? üWhat is the boundary conditions? • Application of the wave equation: üElectron in free space: Derive the wave function of an electron in free space. What conclusion could you obtain from this solution? üThe quantized energy levels of bound particles. üThe penetration depth, the transmission coefysics and devices, Space lattice, unit cell, primitive cell, basic crystal structures (five types), Miller indices, volume density, surface density, atomic bonding.
• Derive the expression for the intrinsic Fermi level.
Checkpoint • Derive the equation for the extrinsic carrier concentration. • The product of n0 and p0. • Derive the expression for the extrinsic Fermi level. • Charge neutrality --- used to determine the concentration of electrons and holes. • Position of EF (influenced by doping density and T)
• Define conductivity and resistivity. • Discuss velocity saturation. • Discuss carrier diffusion current density. • State the Einstein relation. • Describe the Hall effect.
1. Derive the equation for the extrinsic carrier concentration, the product of n0 and p0. 2. Charge neutrality: how to determine the concentration of electrons and holes? 3. How to determine the position of EF? (---influenced by doping density and T)

Derive the energy levels, wave funtion and probability function from the schrodinger's wave function when an electron is in the infinite potential well.