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Homework Statement
Part 1) Use the fermi dirac probability function for t=150k, t=300k, and t=600k to fill in the table below.
Part 2) Also show a sample calculation for (eef)=0.06eV and T=300k.
Part 3)(Same as part 2?) Calculate the probabilities of a state at E EF =0.06 eV being empty for T =150 K , T = 300 K , and T = 600 K .
Homework Equations
F=1/((e^((EEf)/T)+1)
The Attempt at a Solution
I'm just learning about this topic now so bare with me.
So for EEf =(0.15) in the first row, and T=150k..
F=1/((e^((0.15+1)/150)+1)*100
=49.86% for (.150) at 150K
1/((e^((0.15+1)/300)+1) * 100
=49.93% for (.150) at 300K
1/((e^(0.15+1)/600)+1)*100
=49.96% for (.150) at 600k
That is the three values for row 1, .150 EEf
Repeat with the rest of the values using the same formula, switching the (.150) for the appropriate value in the chart.
For part 2, I'm a bit lost. So for a sample calculation, would it be 1/((e^((0.06+1)/300)+1)? That comes out to be 49.99%.
Part 3) The way I'm reading it, it's asking for basically the same as part 2, except it wants when the state is empty and not filled? So would it be 100% the probability of an electron being inside? Here's my calculation for it using that logic:
1/((e^((0.06+1)/150)+1) * 100 = 49.84%
100%49.84%=50.2% the state is empty
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