The ABINIT Users Mailing List ( CLOSED )

[Marcel Mohr <marcel@physik.tu-berlin.de>]

Hi,

the plane index (\infty,\infty,\infty) (real space) could mean that you 
are regarding waves with an infinite wavelength.
In contrast to that, at the zone boundary, you have waves with the 
shortest possible wavelength in a periodic crystal, pi/a.

Cheers
Marcel

On Wed, 18 Apr 2007, Anglade Pierre-Matthieu wrote:

> Hi,
>
> Think at reciprocal space as a frequencies space. Then the meaning of
> the origin of the BZ is obvious. The value of any function there is
> just its saptial average.
>
> regards
>
> PMA
>
> On 4/18/07, Hongyi Zhao <hongyi.zhao@gmail.com> wrote:
> > Hi all,
> >
> > I can understand the concept of the first Brillouin Zone, but I cann't
> > figure out the meaning of the origin of the first BZ and which planes
> > are corresponding to it in the real lattice space.  I mean, the origin
> > coordinate of the first Brillouin Zone is (0, 0, 0), so the
> > corresponding plane(s) to it in the real lattice space should have the
> > index (/infty /infty /infty ).  But what does this plane index mean, I
> > just cann't understand.  Would anyone give me some hints on this?
> >
> > Thanks in advance.
> >
> > ---
> > Hongyi Zhao
> > GnuPG DSA: 0xD108493B
>
>
> --
> Pierre-Matthieu Anglade