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KPOINTS file: Gamma and odd Monkhorst-Pack are same?

Posted: Mon Sep 18, 2006 4:02 am
by lahaye
Hi

I just want to double check whether I understand this discussion
in the VASP Guide about the KPOINTS file.

A so-called Gamma centered grid using keyword 'Gamma' is
equivalent to using a Monkhorst-Pack with odd numbers ?

Or, to be explicit, are following two examples equivalent:

Code: Select all

Gamma
4 4 4
0 0 0
and

Code: Select all

Monkhorst-Pack
5 5 5
0 0 0
If I'm wrong here, can then someone explain the difference?

Thank you,
Rob.

KPOINTS file: Gamma and odd Monkhorst-Pack are same?

Posted: Tue Sep 19, 2006 9:08 am
by admin
no, the meshes are not equivalent in general: In the Monkhurst-Pack scheme, EVEN meshes are shifted away from the origin, whereas they are not for Gamma.
Therefore, Gamma 5 5 5 (NOT 4 4 4!) is equivalent to Monkhurst-Pack 5 5 5,
but Gamma 4 4 4 gives a completely different mesh than Monkhurst-Pack 4 4 4, even for the most simple cubic case.

Re: KPOINTS file: Gamma and odd Monkhorst-Pack are same?

Posted: Wed Jul 15, 2020 1:26 am
by yongwang2000
Thanks.
So for KPOINT meshs with ODD numbers, Gamma is equivalent to Monkhorst, that is something I have wanted to confirm for a long time.
I think the VASP WIKI can make it clearer about this.

Re: KPOINTS file: Gamma and odd Monkhorst-Pack are same?

Posted: Wed Jul 15, 2020 6:46 am
by martin.schlipf
Thank you for the suggestion, I have modified wiki/wiki/index.php/KPOINTS#Monkhorst-Pack slightly to mention odd subdivisions.