Simulation 1 Mat_Dev

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Oregon State University, Corvallis *

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Electrical Engineering

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Jan 9, 2024

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docx

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Uploaded by AgentRook11033

Grant Lance Materials and Devices Simulation 1 - Semiconductors in MATLAB and ATLAS 1) a) Here the occupation probability is plotted against the fermi energy at different temperatures. As energy increases the chance of occupation decreases. This makes sense as with more energy, more electrons will be leaving the respective holes. At higher temperatures the conductivity is higher. The conductivity increases/decreases with temperature due to the increase/decrease in band gap (respectively).
b) Here the drift mobility is plotted vs the doping concentration on a log-x scale. As the doping concentration increases, the mobility decreases. This is expected, as there are more dopants, there is a less likely chance that a drift would occur.
c) Below are the I-V plots for Si from MATLAB (individually) followed by all 8 plots on one figure/graph. i)
ii) iii) iv)
v) vi) vii) viii) ix) Below is the combined MATLAB plot with all figures on one graph. It shows how the resistivity of an element decreases when combined with dopants. With an increase in dopants we should see a decrease in resistivity (the inverse of the slope). It can be hard to see in the figure, but in the tables further below (part of “x)”) it is easier to see the relationship through their numerical values.
x) Below is a table of the different resistivity values (for Si) found using MATLAB. As expected, the resistance decreases with increasing amounts of dopants. This makes sense because as the amount of dopants increases, the likelihood of electron/hole movement increases. Na = 0 231314.4211 Ω Na = 10^14 135.5314842 Ω Na = 10^17 0.1784184984 Ω Na = 10^19 0.009634441753 Ω Nd = 0 231314.4211 Ω Nd = 10^14 46.67207653 Ω Nd = 10^17 0.07560699706 Ω Nd = 10^19 0.005909670064 Ω
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