Kronig-Penney Model Overview and the E/k Diagram 

If people would find it useful, I could make a series of videos on how to actually solve Schrodinger's equation for the Kronig-Penny model. Comment below if you are interested :)

I have found gem , as a 2nd year Electrical Engineering Major with not so good teacher I can't thank you enough. Thank you Edmunds's parents for making him .

Thank you so much for making all these videos. I appreciate your efforts and time that you invested. Let me tell you that it makes a lot of my uncleared concepts now being cleared.

This is incredible. I wish I found these videos earlier

In a moment, I'm gonna go over how this actually takes place. You could take 1or 2 upon 3. We'd expect this cancels that. Really really simple. In the next session, I'm gonna explain How Good This Video Is.

Just a question out of my curiosity: if one were to handle the potential wells as 1/r functions, would the natural way to do that be to expand the potential using the Legendre polynomial basis?

omg! thank you so much for this video!

Hey, I know I'm late but it would be great if you could give us some materials/books to read along while watching these videos. Specifically, the ones you might've used.

The kronig-penny model is good for understanding the bands consist of quantum mechanically allowed continuous regions when an infinite periodic potential is introduced, but isn't the linear combination of atomic orbitals (tight binding model) the more proper and useful way to derive band structures of atoms because it allows you to easily introduce additional potential terms and makes the application of group theory and symmetry arguments more obvious (you can represent your potential terms as matrices with symmetries)? I am actually not completely sure of this. I have learned both the kronig-penny model in passing and the tight binding model a little more in depth, so the math that I know is all that I am basing this off of. I am not a real theorist. It might be that the kronig penny model is more useful for semi-conductors and I am learning about metals or something like that, so feel free to provide feedback/correct me.

a correction is that "k" is not actual momentum.... its more like a mathematical quantity that indexes the allowed energy eigenstates, often loosely called "Crystal momentum"

Energy of an electron in conduction band is E+E_c, here E is the K.E. which depends on temperature(degrees of freedom). Recombination will occur when electron will lose all its energy i.e E+E_c. Electron loses energy when it collides with the crystal irregularities. My doubt is why does recombination occur since if electron loses all the KE, it will remain at E_c and not go to E_v. Also temperature is being held fixed so it has sufficient energy, then why does recombination occur?

u is proportional to 1/r ,so why is it taken to be zero at positive ion core instead of maximum as r tends to 0 at that point?

Are the Wells " energy wells"or "potential wells'

why is Ev on the negative quadrant?

now i'm confused everytime i see the 'k', kinetic, wave numer and booltzman constant. i must stop and wait a sec to confirm it

What's happened?Why I can't open the videos？Besides, I love them very much!Thank you)

thank you

Yo. Si should have an indirect bandgap, why is your E-K diagram a direct one?

hey! can you make a video for proof of kronig-penny model.

Thanks!!

perfect

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genius