Dear Siesta users:

I now have a puzzle on the k point sampling.

Before, I usually use a cubic in real space, 
for example:

%block LatticeVectors
    a    0.0     0.0
 0.0       b     0.0
 0.0    0.0        c
%endblock LatticeVectors

So its corresponding reciprocal space is also a cubic:
    a'    0.0     0.0
 0.0       b'     0.0
 0.0    0.0        c'

when I use the k sampling for this kind cell

%block kgrid_Monkhorst_Pack  
  4   0   0    0.0          
  0   4   0    0.0           
  0   0   1    0.0           
%endblock kgrid_Monkhorst_Pack

I think it means 4, 4 and 1 k point will be used along a', b' and c' will be 
used. (Am I right?)

But if I use a non-cubic cell, 

for example:
%block LatticeVectors
   a1      a2     0.0
   b1     b2      0.0
  0.0     0.0        c 
%endblock LatticeVectors

so the corresponding reciprocal space is also a non-cubic:
maybe like the following:
   a1'      a2'     a3'    (say Vector1)
   b1'      b2'     b3'   (say Vector2)
   c1'      c2'     c3'    (say Vector3)
If I also use a K point sampling like:

%block kgrid_Monkhorst_Pack  
  4   0   0    0.0          
  0   4   0    0.0           
  0   0   1    0.0           
%endblock kgrid_Monkhorst_Pack

This time, are 4, 4 and 1 the k points along the reciprocal Vector1, Vector2 
and Vector3 respectively?

Maybe, my discription could make someone confused.

In other words, is the block kgrid represented in real space lattice vectors or 
in reciprocal space vectors or just in cartesian coordinates?


Any reply will be appreciated.

Best

Guangping


2011-08-03



Guangping Zhang

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