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Ch.12 - Solids and Modern Materials

Chapter 12, Problem 8c

The electronic structure of a doped semiconductor is shown here. (c) Which region of the diagram represents the band gap?

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Welcome back everyone in this example. We're told that the following an illustration shows the electronic structure of a doped semiconductor, which of the following statements is true. So we have statement A which says that this is an example of an N. Type doped semiconductor. Now, if we look at our given diagram, we can see that we have two valence bands. Where band is our first valence band and band B is our second valence band. And according to our legend because band A is mostly filled in green, it contains most of our empty molecular orbital's meaning we don't have any electrons filled in this band. And if there's no electrons filled in Band A because it's mostly consists of empty molecular orbital's, then this results in holes in our atom. So because we have holes in our atom, we would correct this to say that this is a P type or a P type doped semiconductor and this is due to positive holes which are are empty molecular orbital's in our A valence band A. So moving onto statement B. Because we can rule out statement A it's not a true statement. We have statement B which states that the region of anti bonding molecular orbital's and band A. Is the band gap. We would consider a statement be as false. So we'll use actually the color red here. This is false due to the fact that we should correct it. So that it says that the region of anti bonding molecular orbital and band A. It would actually not be anti bonding but it should say bonding molecular orbital's in Band A. Is the band gap, meaning that we can rule out choice B. It's a false statement and we can see that statement D. Does correctly say that the region of bonding molecular orbital and Band Aid is the band gap. So we can actually consider statement D. As a true statement and actually we'll use the color blue here. So this is a true statement and it's a good prospect as an answer choice. But let's consider statement. See, it says that statement C says the Band B is the valence band. We would recognize that Band A. Is actually the valence band where Band B is the conduction band. And so statement C is also false, meaning the only correct choice to complete this example is statement D. Which is a true statement stating that the region of bonding molecular orbital zin band A is the band gap is our final answer. I hope everything I reviewed was clear. If you have any questions, leave them down below and I'll see everyone in the next practice video