1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solid state physics-effective mass problem.

  1. Jan 29, 2012 #1
    1. The problem statement, all variables and given/known data

    Tha band structure of a simple cubic lattice is given by,

    [itex]E = E_{0}-A(\cos k_{x}a+\cos k_{y}a+\cos k_{z}a)[/itex]

    where a is the lattice constant and A is a positive constant.

    Find the effective mass for the electron at the values of k corresponding to the top and bottom of the band.

    2. Relevant equations

    [itex]m^{\ast }=\frac{\hbar ^{2}}{\left( \frac{d^{2}E}{dk^{2}}\right) }[/itex]



    3. The attempt at a solution

    The components kx,ky,kz and the condition 'top and bottom of the band' are confusing me.
    Is these top and bottom correspond to brollouin zone edges?
    How can i put these components of k in above equation?

    Thanks.
     
  2. jcsd
  3. Jan 30, 2012 #2
    Hi friends, need help here.:wink:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solid state physics-effective mass problem.
  1. Solid State Physics (Replies: 4)

  2. Solid state physics (Replies: 1)

Loading...