In this lecture, we'll discuss the differences between electrical resistance, electrical resistivity, and electrical conductivity. Then look at the effects of impurities and deformation, defects on the electrical conductivities of metals. If we look at the historical significance of the semiconductor, again, we reiterate that civilization periods of time have been denoted by material, Stone Age, Bronze Age, Iron Age. This age of the semiconductor that came on the scene in 1947. Then we had the integrated circuit, the transistor radio, and then Motorola put the radio in the car. This was all enabled by the integrated circuit silicon. For the last 35 years we've been able to make it faster and cheaper every 18 months. That's given us the ability to fabricate on 15 inch wafers, reducing the price, and enabling the mighty iCloud. Electrical conductivity. Start off with Ohm's law. We have the voltage drop, when a current through a resistive material, so that's our voltage drop. Now if we continue on, we start here with a conductor that has some cross-sectional area A and we can do fine resistivity. Resistivity is a material property independent of the size and the shape of the conductor. If we look at resistivity Rho and how it's related to resistance, something that is a function of the material and geometry. The resistance is L over A, where A is the thickness and width of your conductor, L is the length of your conductor, and Rho is your resistivity. You can also reverse that and calculate your resistivity. Now resistivity is the reciprocal of the conductivity. Often we utilize the conductivity value when we're looking at the actual specifics to the carrier. In this particular case, if I look at the conductivity it's going to be the number of carriers per unit volume times the charge of the carriers in mu, which is the mobility. The ease at which a charged particle moves in electrostatic field. You see the values of mu meter square per volt second. Essentially the velocity divided by the electric field. Again, the ease at which a part of charged particle moves in the presence of electrostatic field. Now if we look at the classes of materials based on their conductivity, it is very clear, almost a clear cut. Metals which are good conductors. Ceramics, which are poor conductors. Polymers even worse than ceramics and then between the ceramics and the metals, we have our semiconductors. Now, this is what we would define classically. Metals are good conductors, ceramics poor conductors, polymers poor conductors, and semiconductors somewhere in between the ceramics and the metal. They are very unique. I should say there are a few unique materials that we have, like indium tin oxide, which is a transparent conducting oxide. We do sometimes have conducting polymers. But those are specially engineered materials. Let's take a moment for inquiry. Here you're asked to calculate the resistivity and you're given the concentration in and you're given the mobility. We'll put a little e there. If I look at, calculate the resistivity, that's going to be one over the conductivity, one over the carrier concentration charge carrier mu. Here's our number of charge carriers. Charge on the electron, 1.6 times 10 to the minus 19 coulombs and here's our mobility, centimeters squared per volt second. That gives us 6.6 times, or I should say, 6, e to the five ohm centimeters.