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!

Dispersion Relations (tight binding energy)

  1. Nov 30, 2014 #1
    The nearest neighbour tight-binding energy band for an fcc metal can be written as:
    E(kx; ky; kz) = Ei - A - 8t[cos(pi*kx)cos(pi*ky) + cos(pi*ky)cos(pi*kz) + cos(pi*kz)cos(pi*kx)]


    where kx; ky; kz are express in units of 2*pi/a .
    Sketch this band dispersion (a) between the (capital Gamma) point (kx = ky = kz = 0) and the X point
    (kx = 1; ky = kz = 0) (located on the square face of the Brillouin zone), and (b) between
    the point and the L point (kx = ky = kz = 1=2) (located on the hexagonal face of the
    Brillouin zone).


    I am not sure even how to start the sketch of this, do I need to know Ei and A, or can I be alot more simple when just sketching something.

    I am just really bad a graphs in reciprocal space, and my lecturer wasn't very helpful.

    Any help will be greatly appreciated!
     
  2. jcsd
  3. Dec 5, 2014 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Dispersion Relations (tight binding energy)
  1. Tight-binding model (Replies: 0)

Loading...