Register to reply

Bcc lattice

by rubertoda
Tags: lattice
Share this thread:
Feb14-13, 04:38 PM
P: 33
Hi, i have problems understanding the Brilluoin zone to the bcc lattice

First, i wonder what the distances are, from the origo to the brillouin zone plane borders.
I firts thought it would be half the distance of the basis vectors (mine are 2pi/a, where a is my lattice constant, BUT its only true for 2-D calculations for square lattices.

I know that the distances in 3D should be |G-vector|/2, and i take the smallest possible G.

But i still dont know

ANyone who knows how to find the distances from origo to the first BZ zone boundaries, knowig that the basis vector in the reciprocal space is 2pi/2?are they all the same??
Phys.Org News Partner Physics news on
A new, tunable device for spintronics
Researchers study gallium to design adjustable electronic components
Gadolinium-based material that can be cooled by varying magnetic field
Feb15-13, 05:56 AM
P: 270
I think if the direct lattice constant is a, then the reciprocal lattice constant would be[itex]2\pi/a[/itex] hence your favorite distance is [itex](\pi/\sqrt2)a[/itex].
Feb15-13, 07:52 AM
P: 33
Thanks a lot. and this goes eveforryone of the 12 directions in the BZ?

Feb15-13, 04:34 PM
P: 270
Bcc lattice

No, it was for the four direction located in the middle of the figure 4.16 Ashcroft & Mermin. you can easily calculate it for remained 8 directions (see the figure).
Feb15-13, 04:45 PM
P: 33
ok thanks. im jut interested in the 110-direvtion, from origo to N,in the Ʃ-direction

Register to reply

Related Discussions
Primitive lattice vectors, reciprocal lattice, wigner seitz cell Atomic, Solid State, Comp. Physics 1
Lattice QCD High Energy, Nuclear, Particle Physics 4
Difference between 1D lattice and 2D lattice on BEC Atomic, Solid State, Comp. Physics 4
One-dimensional monatomic chain; square lattice; hcp close packed 2D lattice Advanced Physics Homework 0
Does any lattice or lattice shape has a periodic boundary condition? Classical Physics 4