[Wien] Primitive Brillouin zone of Monoclinic base-centered structure

Marcelo Barbosa marcelo.b.barbosa at gmail.com
Thu Oct 5 13:01:59 CEST 2017


Dear Sirs,

I tried the following solution to my problem but it seems that changing the space group to P1 makes the Primitive Brillouin Zone to be equal to the Conventional Brillouin zone.
However, for a base-centered monoclinic structure, they are not equal and to get the right band structure one must use the Primitive Brillouin zone high symmetry points (as have been shown in https://doi.org/10.1016/j.commatsci.2010.05.010 <https://doi.org/10.1016/j.commatsci.2010.05.010>).

In that article, they have a table with all the symmetry points for a base-centered monoclinic structure.
Unfortunately, they consider the lattice vectors with alpha < 90º instead of the gamma != 90º required by WIEN2k.
How can I transform those points from one representation to another?
And if I can calculate those points, can I manually choose them in XCrysden to generate the klist file instead of choosing them from the 3D image (since the image is wrong)?

Best regards,
Marcelo

> On 22 Sep 2017, at 19:09, Yundi Quan <yquan at ucdavis.edu> wrote:
> 
> It happens sometimes. One possible workaround is to set the space group to P1 and use the same a, b, c, alpha, beta and gamma. That way you can select k-points and use the for C2/m structure.
> 
> On Fri, Sep 22, 2017 at 4:00 AM, Marcelo Barbosa <marcelo.b.barbosa at gmail.com <mailto:marcelo.b.barbosa at gmail.com>> wrote:
> Dear Sirs,
> 
> I’m trying to get the Brillouin zone and high-symmetry points of Ga2O3, which has a monoclinic base-centered lattice.
> However, after plotting it using XCrysDen, one of the vectors (b*) doesn’t go through the center of any plane in the Brillouin zone (see figure in attachment).
> Since the Brillouin zone is defined has the Wigner-Seitz cell of the reciprocal lattice, shouldn’t all the reciprocal vectors go through the center of the planes by definition?
> 
> To generate the structure, I used the following .cif file (CIF <http://www.crystallography.net/cod/2004987.cif>) but since the parameters in the file are in the C 2/m representation, I started by running "x sgroup” to get the structure with the parameters in the B 2/m representation (as WIEN2k requires).
> 
> Thank you for your help.
> 
> Best regards,
> Marcelo
> 
> <Brillouin zone.png>
> 
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