Semiconductors, number density of charge carriers.

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Homework Help Overview

The discussion revolves around calculating the number density of charge carriers in semiconductors, specifically focusing on undoped silicon. Participants are attempting to reconcile their calculations with a provided answer.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss their attempts at solving the problem, including substituting values and considering temperature effects. Questions arise regarding the interpretation of the problem, particularly about the role of undoped silicon and the significance of charge carriers, including both electrons and holes.

Discussion Status

There is an ongoing exploration of the problem with participants providing insights and questioning assumptions. Some guidance has been offered regarding the importance of considering both types of charge carriers, and the impact of temperature on the calculations is being discussed.

Contextual Notes

Participants mention specific values used for room temperature and the distinction between undoped and doped silicon. There is an acknowledgment of the need for detailed work to understand where discrepancies in answers may arise.

elevenb
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Homework Statement



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It's the third part which I'm stuck on.

Homework Equations



gif.latex?\frac{N_{1}}{N_{0}}=e^{-\frac{E_{1}-E_{0}}{KT}}.gif

The Attempt at a Solution



I've substituted in all the numbers and, multiplied by the density but I am still not getting the correct answer; where a I going wrong?

I got

6.13*(10^11) m^-3

The answer given is

1.6*(10^12) m^-3
 
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"Third part" means the undoped silicon?
mc94 said:
I've substituted in all the numbers and, multiplied by the density but I am still not getting the correct answer; where a I going wrong?
There is no way to tell if you just show your answer instead of the actual work.
What did you use as room temperature?
 
mfb said:
"Third part" means the undoped silicon?
There is no way to tell if you just show your answer instead of the actual work.
What did you use as room temperature?

I took 298K as room temperature; and yes sorry I meant the part with the undoped silicon.
 
That is the number of electrons. You also have holes as charge carriers.

I get the given answer as rounded result with 300K instead of 298K.
 
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mfb said:
That is the number of electrons. You also have holes as charge carriers.

I get the given answer as rounded result with 300K instead of 298K.

Ahh the holes! I completely forgot, kicking myself now! Thank you!
 

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