Online Physics Determining Electrical Properties Of Doped Semiconductors Homework Help
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Choose Setup: Well Array w/ Impurity. This part is concerned with understanding the electrical properties of solids which contain some impurity atoms (doped materials). The impurity atom has one more or one less core electron than the others and the core of the impurity atom creates a different potential well.
1. First set the depth Well Depth to the same as the Impurity Depth to generate the energy level diagram for a solid without impurities. Assume each atom has 2 noncore electrons. Sketch the energy level diagram and indicate on it the Fermi energy. Also on the diagram write down the energy of the band gap.
2. Reduce the depth of the impurity well until an energy level “within” the energy band gap can be seen. Assume the impurity atom has 1 non-core electron.
(1) What is the Fermi energy of this solid?
(2) What is the minimum amount of energy needed to increase the energy of one of the electrons?
3. Change the depth of the impurity well so that the energy of the state within the band gap is less than 0.3 eV above the top of lowest-energy band. How good an electrical conductor is this solid at room temperature compared with the solid consisting of one type of atom only? The model we have just analysed describes a p-type conductor. When an electric field is applied to the solid it is electrons in the lowest-energy band that move since there is one energy level that is “missing” an electron. The electron that has moved to the state within the energy gap is trapped by the impurity atom. When we measure the conductivity of this type of solid it seems that is positive charges that are moving. We now consider n-type conductors. Now assume that most atoms have 2 non-core electrons and the impurity atom has 3 non-core electrons.
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4. For the same conditions as in question 3, what is the minimum amount of energy needed to change the energy of one of the electrons? How good an electrical conductor is this solid?
5. Adjust the depth of the impurity well so that the minimum amount of energy needed to change the energy of one of the electrons is less than 1 eV.
(1) Sketch the energy level diagram for this solid.
(2) Compare the depth of the impurity well to the depth of the other atomic wells.
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