Semiconductor Energy band question

  • Thread starter me_master
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  • #1
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Hi,

I have a question regarding Energy band.

The energy band of a simple cubic semiconductor crystal with a lattice constant b can be represented as in the following function:

E(k) = E0 + E1[cos(kxb) + cos(kyb) +cos(kzb)]

where E0 and E1 are independent of the wave vector k.

i) Sketch the dependence of E and k from k=0 to the edge of the Brillouin zone in the [100] direction.

For this question, please help to explain whether I need to partial differentiate in the x direction only since the question is for [100] direction?

ii) Determine the effective mass of electron at k=0 in the [100] direction.
 

Answers and Replies

  • #2
415
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Yeah, you only need to do the x direction.
 
  • #3
54
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1- Set ky=0 kz=0 plot the function (Constant+Cos(kx.b))
2- mx = Constant*1/(d^2E/dkx^2)
 
  • #4
2
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Thanks asheg and kanato
 

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