- #1
metroplex
- 10
- 0
I'm having difficulty figuring out how to work this problem:
Assume a material has a given E-K diagram:
E(K)conduction = Ec + E1 * sin^2 (Ka)
E(K)valence = Ev - E2 * sin^2 (Ka)
a=0.5nm
E1 = 5eV
E2 = 4eV
I have to:
* sketch the E-K diagram for the first brillouin zone (-pi/a < k < pi/a). label axes, label Ec, Ev, energy bandwidth.
* find effective mass for the electron near bottom of conduction band
* find effective mass for holes near the top of the valence band
My questions:
How do I determine Ec and Ev to draw the diagram? Do I need to draw two E-K sketches or is it 1 big diagram?? What is the energy bandwidth? Is it the same as Eg (band gap?) which is Ec - Ev ?
How do I determine the effective masses?
I don't want anyone to just do the problem, but I looked through the textbook (typical overpriced McGraw Hill crap that shows you one thing and has homework problems that are 20 steps ahead of the basic crap they show).
Assume a material has a given E-K diagram:
E(K)conduction = Ec + E1 * sin^2 (Ka)
E(K)valence = Ev - E2 * sin^2 (Ka)
a=0.5nm
E1 = 5eV
E2 = 4eV
I have to:
* sketch the E-K diagram for the first brillouin zone (-pi/a < k < pi/a). label axes, label Ec, Ev, energy bandwidth.
* find effective mass for the electron near bottom of conduction band
* find effective mass for holes near the top of the valence band
My questions:
How do I determine Ec and Ev to draw the diagram? Do I need to draw two E-K sketches or is it 1 big diagram?? What is the energy bandwidth? Is it the same as Eg (band gap?) which is Ec - Ev ?
How do I determine the effective masses?
I don't want anyone to just do the problem, but I looked through the textbook (typical overpriced McGraw Hill crap that shows you one thing and has homework problems that are 20 steps ahead of the basic crap they show).