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Re: [abinit-forum] conventional cell and primitive cell


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  • From: Emmanuel Arras <emmanuel.arras@cea.fr>
  • To: forum@abinit.org
  • Subject: Re: [abinit-forum] conventional cell and primitive cell
  • Date: Mon, 23 Nov 2009 20:03:18 +0100

Actually, your input file for the conventionnal cell is wrong:
xred
    0.0 0.0 0.0
    1/4 1/4 1/4
    1/2 1/2 0.0
    0.0 1/2 1/2
    1/2 0.0 1/2
    3/4 3/4 1/4
    1/4 3/4 3/4
    3/4 1/2 3/4

1/2 in the last line should be 1/4

Then what does it give?


Emmanuel



Jedo a écrit :
4B0ADA0B.7080609@umich.edu" type="cite">Hi there,

Hmm.. If I'm understanding this right, whatever the cell size is, the band structure at the Gamma point, (0 0 0) should be the same right?
For primitive cell, I have the following points for band structure at (0 0 0)

kpt#  21, nband= 16, wtk=  1.00000, kpt=  0.0000  0.0000  0.0000 (reduced coord)
 -6.19323   5.85746   5.85746   5.85746   8.37713   8.37713   8.37713   9.00292
 13.48225  13.60932  13.60932  16.99403  16.99403  16.99403  20.87852  28.80835

For conventional cell, I have the following


kpt#  21, nband= 32, wtk=  1.00000, kpt=  0.0000  0.0000  0.0000 (reduced coord)
 -6.16413  -1.94700  -1.94697  -1.94688  -1.94662  -1.94648  -1.94640   3.03807
  3.03808   3.03813   3.03826   3.03833   3.03833   5.94579   5.94595   5.94612
  6.51126   6.51137   6.51168   6.51184   6.51207   6.51211   8.46920   8.46929
  8.46939   9.18951  13.60797  13.70326  13.70326  16.00834  16.00841  16.00857


I have included more bands.
However, the primitive cell band gap is between 5.85746 eV and 8.37713 eV. There are no bands between them. But for conventional cell, I have 6.51126 eV band between the two band gap. Is this normal when I use the conventional cell?
Thanks.


Jedo


Emmanuel Arras wrote:
Pardon my naive question, but have you "folded" your results? That is, band structure performed on a bigger cell than the primitive one will have more bands in a smaller BZ. So, if you want to compare the results with the primitive cell, you have to "fold" them.
hopping I made myself clear...

Emmanuel


ธนูสิทธิ์ บุรินทร์ประโคน a écrit :

Dear all

I have in mind the same question as Jedo's.

I think the initail results of band calculations would look different between the primitive cell and the conventional cell. This is because the two cells have the Brillouin zones of different sizes and shapes so that the k-points sampling used in the band calculation are different. However, since we perform the band calculation for the same crystal, both results should lead to identical intepretation.  The problem is how?  Is there other points I am missing?
All comments or suggestions will be greatly appreciated.
 

Regards,

Thanusit Burinprakhon

 




*/On November 23, 2009 10:39:13 AM ICT, "Jedo" <jedokim@umich.edu> wrote:/*

    Hi all,

    I am trying to compare if I get the same result for primitive
    cells and
    conventional cell when performing the electronic band structure
    calculation. I may be totally wrong because I am just starting the
    calculation. I am using two different structures, one for
    conventional
    cell and one for primitive cell. Shouldn't the following
    structure give
    me the same results? Not sure why I'm getting a totally different
    band
    structures. Please let me know if I'm just stupid. :) Thanks!!

    Primitive cell

    #Definition of the unit cell
    -> acell 3*10.217 # This is equivalent to 10.217 10.217 10.217
    -> rprim 0.0 0.5 0.5 # FCC primitive vectors (to be scaled by acell)
    -> 0.5 0.0 0.5
    -> 0.5 0.5 0.0
    ->
    -> #Definition of the atom types
    -> ntypat 1 # There is only one type of atom
    -> znucl 14 # The keyword "znucl" refers to the atomic number of the
    -> # possible type(s) of atom. The pseudopotential(s)
    -> # mentioned in the "files" file must correspond
    -> # to the type(s) of atom. Here, the only type is
    -> Silicon.
    ->
    ->
    -> #Definition of the atoms
    -> natom 2 # There are two atoms
    -> typat 1 1 # They both are of type 1, that is, Silicon.
    -> xred # This keyword indicate that the location of the atoms
    -> # will follow, one triplet of number for each atom
    -> 0.0 0.0 0.0 # Triplet giving the REDUCED coordinate of atom 1.
    -> 1/4 1/4 1/4 # Triplet giving the REDUCED coordinate of atom 2.




    Conventional Cell

    #Definition of the unit cell
    acell 3*10.217 # This is equivalent to 10.18 10.18 10.18
    rprim 1.0 0.0 0.0 # FCC primitive vectors (to be scaled by acell)
    0.0 1.0 0.0
    0.0 0.0 1.0

    #Definition of the atom types
    ntypat 1 # There is only one type of atom
    znucl 14 # The keyword "znucl" refers to the atomic number of the
    # possible type(s) of atom. The pseudopotential(s)
    # mentioned in the "files" file must correspond
    # to the type(s) of atom. Here, the only type is Silicon.


    #Definition of the atoms
    natom 8 # There are two atoms
    typat 1 1 1 1 1 1 1 1 # They both are of type 1, that is, Silicon.
    xred # This keyword indicate that the location of the atoms
    # will follow, one triplet of number for each atom
    0.0 0.0 0.0
    1/4 1/4 1/4
    1/2 1/2 0.0
    0.0 1/2 1/2
    1/2 0.0 1/2
    3/4 3/4 1/4
    1/4 3/4 3/4
    3/4 1/2 3/4


    --     ================================
    Jedo Kim,
    Heat Transfer Physics Laboratory
    2350 Hayward, 2186 GG Brown Bldg.
    University of Michigan, Ann Arbor, MI 48109-2143
    Email: jedokim@umich.edu, jdzbox@hotmail.com
    Tel: 734-764-3487 (o); 734-276-8370 (cell)
    ================================




-- 
Emmanuel ARRAS
L_Sim (Laboratoire de Simulation Atomistique)
SP2M / INAC
CEA Grenoble
tel : 00 33 (0)4 387 86862
 


-- 
Emmanuel ARRAS
L_Sim (Laboratoire de Simulation Atomistique)
SP2M / INAC
CEA Grenoble
tel : 00 33 (0)4 387 86862



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