Debanjana adhikari Asked a Question
May 19, 2020 10:42 ampts 30 pts
The dispersion relation for a one dimensional monatomic crystal with lattice spacing a, which interacts nearest neighbour harmonic potential is given by Asin Aa where A is a constant of appropriate unit. The group velocity at the boundary of the first Brillouin zone is
  • 1 Answer(s)
  • Shares
  • Ruby negi
    remember first brillouin zone is at the k value of +-π/2a
    • cropped-1742627904.jpg
    • cropped188101871.jpg
    Likes(1) Reply(0)
  • Dhairya sharma thankyou
    at first Brillouin zone it will be zero. see the attached
    • cropped8442229835058857084.jpg
    Likes(0) Reply(0)
  • Abhishek singh
    See attached.
    • cropped391995759083303534.jpg
    Likes(1) Reply(0)
  • Ruby negi
    remember omega/k is phase velocity and d(omega)/dk is group velocity.
    • cropped-66620370.jpg
    Likes(2) Reply(0)