Dear Akbar,
As to possible relation between band structure calculation and dipole
moment, that was my desperate assumption how to reconcile the
contradiction between symmetry and my current results. I think, they are
not connected (anyhow).

Best,
 Artem Baskin,
 PhD student,
 University of Illinois at Chicago

On Fri, March 19, 2010 5:39 am, akbar jahangiri wrote:
> Dear Artem
>
> Regarding this sentence, i have a question . Are they  connected through
> plan-wave method ? if yes why?
>
>>>" and structure calculations and dipole moment are
> separated things (if only they are not connected somehow through
> plane-wave method). "
>
> Best regards
> Akbar jahangiri
>
> 2010/3/16 Marcos Veríssimo Alves <[email protected]>
>
>> About the coordinates, I haven't really checked them. If they are
>> incorrect then it would be the most obvious source of error.
>>
>> For the dipole moment, I don't see how the origin of coordinates and
>> k-point sampling could possibly be related. Surely you are right, the
>> dipole moment is independent of the origin of coordinates, but the
>> origin of coordinates and the k-point sampling are ultimately
>> completely un-related to each other. The issue with k-point sampling
>> is that it is used for performing a sum over the energies of occupied
>> bands in k-space, which accounts for the part of the total energy. If
>> this is wrong, then your total energy is wrong as well. If your total
>> energy is wrong, then by the Kohn-Sham theorems you have a wrong
>> charge density distribution. And, if you have a wrong charge density
>> distribution, then definitely your dipole moment would be wrong.
>> Fundamentally, this is it.
>>
>> Nevertheless, as it has been discussed rather recently in the list,
>> bear in mind that, in a solid, the dipole would be ill-defined, and to
>> get a meaningful value you'd need to resort to the Berry's phase
>> approximation. So, it would be advisable (1) to check your initial
>> coordinates just in case and (2) see if you get the dipole moment to
>> converge with an increasing number of k-points along the ribbon's
>> length.
>>
>> Cheers,
>>
>> Marcos
>>
>>
>> On Tue, Mar 16, 2010 at 12:22 PM, Roland Gillen
>> <[email protected]> wrote:
>> > Artem,
>> >
>> > I might be terribly wrong mistaken, but your geometry doesn't look
>> like
>> it's
>> > symmetric. Look at the y-coordinates of your H-atoms. They are about
>> +5.8
>> > and -5.8.
>> > Your left-most carbon atoms are at y=-4.9, but the carbon atoms at the
>> other
>> > edge are at y=7.3.
>> > Btw. the x-positions of the hydrogen atoms don't seem reasonable as
>> well.
>> >
>> > Maybe that is the reason for your wrong band structures?
>> >
>> > Cheers
>> > Roland
>> >
>> > [email protected] schrieb:
>> >>
>> >> Thank you, Marcos, for such a quick response.
>> >>
>> >> You are absolutely right about the low level of mesh cutoff that I
>> used,
>> I
>> >> used it on purpose to cut down on the calculation time. But there is
>> a
>> >> thing that I still don't understand in your explanations: how may any
>> >> k-point sampling be related with calculation of dipole moment of my
>> >> system? Dipole moment is invariant (with respect of the used system
>> of
>> >> coordinates) for electrically neutral system, therefore it should not
>> >> depend on the lattice vector determination and, consequently, on any
>> >> k-point sampling.
>> >> Is it?. Moreover, band structure calculations and dipole moment are
>> >> separated things (if only they are not connected somehow through
>> >> plane-wave method). So, I can understand why the magnitude of
>> non-zero
>> >> dipole moment may vary depending on the mesh cutoff value, but zero
>> should
>> >> be equal zero.
>> >> The question about dipole moment is important for me because I look
>> for
>> >> the reasons which result in errors of my band structure calculation
>> for
>> >> graphene ribbon. (Initially I thought that there was something wrong
>> with
>> >> my input file information or something like this).
>> >>
>> >> Thank you once again, hope you will help me with that weird thing.
>> >>
>> >>  Artem Baskin,
>> >>  PhD student,
>> >>  University of Illinois at Chicago
>> >>
>> >>
>> >>
>> >>
>> >>
>> >>
>> >>
>> >>>
>> >>> Artem,
>> >>>
>> >>> Two things could be hindering your calculation. First, your mesh
>> >>> cutoff is quite low. I would use at least 200 Ry to get only decent
>> >>> results. In my experience with 300 Ry you get pretty good results
>> for
>> >>> a graphitic system. Second, I don't see any k-point sampling along
>> the
>> >>> ribbon length. This definitely could be the cause of your
>> fluctuating
>> >>> dipole value.
>> >>>
>> >>> Cheers,
>> >>>
>> >>> Marcos
>> >>>
>> >>> On Sat, Mar 13, 2010 at 3:08 AM, [email protected] <[email protected]>
>> wrote:
>> >>>
>> >>>>
>> >>>> Hi all!
>> >>>> I am a new user of Siesta and I'm involved in graphene band
>> structure
>> >>>> calculations. I can not obtain the correct band structure for a
>> graphene
>> >>>> nanoribon (N=3m+2, armchair passivated by H-atoms). Trying to do
>> that
>> I
>> >>>> was overwhelmed  with the fact that the system absolutely
>> symmetrical
>> in
>> >>>> Y-axis (finite size, 5 honeycomb rings) has non-zero dipole moment
>> along
>> >>>> Y-axix which depends sharply on the Meshcutoff value.
>> >>>> Could anyone explain me where it comes from? What are the possible
>> >>>> sources
>> >>>> of this "effect" and how it may affect the band structure?
>> >>>>
>> >>>> The replica of my .fdf and .out files are attached below.
>> >>>>
>> >>>> Thanks for any reasonable help.
>> >>>>
>> >>>> From input-file
>> >>>>
>> >>>> NumberOfAtoms       26
>> >>>> NumberOfSpecies     2
>> >>>>
>> >>>> %block ChemicalSpeciesLabel
>> >>>>  1  6  C      # Species index, atomic number, species label
>> >>>>  2  1  H
>> >>>> %endblock ChemicalSpeciesLabel
>> >>>> Meshcutoff     200.00 Ry
>> >>>> LongOutput T
>> >>>> WriteDenchar T
>> >>>> AtomicCoordinatesFormat  Ang
>> >>>> %block AtomicCoordinatesAndAtomicSpecies
>> >>>>  0.00         7.37853644     0.000   1
>> >>>>  1.42         7.37853644     0.000   1
>> >>>>  -0.71         6.148780367    0.000   1
>> >>>>  2.13         6.148780367    0.000   1
>> >>>>  0.00         4.919024294    0.000   1
>> >>>>  1.42         4.919024294    0.000   1
>> >>>>  -0.71         3.68926822     0.000   1
>> >>>>  2.13         3.68926822     0.000   1
>> >>>>  0.00         2.459512147    0.000   1
>> >>>>  1.42         2.459512147    0.000   1
>> >>>>  -0.71         1.229756073    0.000   1
>> >>>>  2.13         1.229756073    0.000   1
>> >>>>  0.00         0.00           0.000   1
>> >>>>  1.42         0.00           0.000   1
>> >>>>  -0.71        -1.229756073    0.000   1
>> >>>>  2.13        -1.229756073    0.000   1
>> >>>>  0.00        -2.459512147    0.000   1
>> >>>>  1.42        -2.459512147    0.000   1
>> >>>>  -0.71        -3.68926822     0.000   1
>> >>>>  2.13        -3.68926822     0.000   1
>> >>>>  0.00        -4.919024294    0.000   1
>> >>>>  1.42        -4.919024294    0.000   1
>> >>>> -0.485       8.218581082    0.000   2
>>>>>   -0.485      -5.759068935    0.000   2
>>>>>    1.905        8.218581082    0.000   2
>>>>>    1.905       -5.759068935    0.000   2

>> >>>> %endblock AtomicCoordinatesAndAtomicSpecies
>> >>>>
>> >>>> %block PAO.BasisSizes
>> >>>>  C     DZP
>> >>>>  H     DZP
>> >>>> %endblock PAO.BasisSizes
>> >>>>
>> >>>> LatticeConstant  2.459512147  Ang
>> >>>> %block LatticeVectors
>> >>>>  1.732050808  0.00    0.0
>> >>>>  0.0          80.0    0.0
>> >>>>  0.0          0.00    80.0
>> >>>>
>> >>>> %endblock LatticeVectors
>> >>>>
>> >>>> %block BandLines
>> >>>> 1   -1.0   0.0  0.0
>> >>>> 40   0.0   0.0  0.0
>> >>>> 40   1.0   0.0  0.0
>> >>>> %endblock BandLines
>> >>>>
>> >>>>
>> >>>> From out-file
>> >>>>
>> >>>> siesta: Electric dipole (a.u.)  =    0.000000   17.412033
>> 0.000000
>> >>>> siesta: Electric dipole (Debye) =    0.000000   44.257004
>> 0.000000
>> >>>>
>> >>>>
>> >>>> Artem Baskin,
>> >>>> PhD student,
>> >>>> University of Illinois at Chicago
>> >>>>
>> >>>>
>> >>>>
>> >>>>
>> >>>
>> >>>
>> >>
>> >>
>> >>
>> >
>> >
>>
>


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