Dear Dan,

well, this was long ago (2008) when I was testing the Siesta Basis sets. But I 
will try to dig out some more details:

At the time I was using siesta-2.0.  If my recollection is correct the defaults 
regarding the basis set generation of hydrogens changed with siesta-3.0, which 
improved the situation.

Some data using PBE and a basis described by 
PAO.BasisSize        DZP
PAO.EnergyShift      100 meV
PAO.SplitNorm        0.13
I found a dipol moment of    1.4938 debye
and Mulliken Populations of  1.074 on H,   5.852 on O  (negative H, positive O)

After playing with many parameters to minimize the DFT total energy (without 
increasing the cutoff radii too much) I ended up using a basis defined by:
%block PAO.Basis
H           1 split 0.00
 n=1   0   2 P   1 E  10.  5.088
   6.088      2.519
   1.000      1.000
O           2 split 0.00
 n=2   0   2       E  10.  4.220
   5.220      2.774
   1.000      1.000
 n=2   1   2 P   1 E  10.  5.298
   6.298      2.630
   1.000      1.000
%endblock PAO.Basis

dipole moment  1.720 debye
Mulliken Population    0.788 on H   6.423 on O
Thus, the hydrogen is positive and the oxygen negative.
The dipol moment is reasonably close to a benchmark calculation at 
PBE/aug-cc-pV5Z which gives 1.8028 debye.

I hope this illustrates my comment and does not confuse even more.

Regards, Ulrich.



 From:   Dan Gil <[email protected]> 
 To:   <[email protected]> 
 Sent:   11.10.2017 17:26 
 Subject:   Re: [SIESTA-L] Mulliken Charges on Water 


Thank you all for your responses.


Dr. Camps - Thank you for the paper. The article further makes me more worried 
about the results I obtained from SIESTA - I had a positive partial charge on 
Oxygen from the Mulliken population. None of the basis 
set/functional/population method combinations in the paper have this result.


Dr. Biedermann - I ran more calculations with the split-valence basis set and 
I've played around with the orbital-confining cutoff radii and the hydrogen 
split radius. I've noticed the dependence of the Mulliken population on these 
parameters but I still don't get the correct dipole moment.


Dan


On Mon, Oct 9, 2017 at 5:08 PM, I. Camps <[email protected]> wrote:

Take a look at the following paper. They discus the effect of various methods 
in the determinations of water atomic charges:

http://onlinelibrary.wiley.com/doi/10.1002/jcc.20157/full

F. Martin, H. Zipse, Charge distribution in the water molecule. A comparison of 
methods, 
J. Comput. Chem. 26 (2005) 97-105.
DOI: 10.1002/jcc.20157 








[]'s,

Camps


 

On Mon, Oct 9, 2017 at 4:44 AM, Ulrich Biedermann <[email protected]> wrote:

Dear Dan,
I have noticed similar problems.  Mulliken charges depend on the atomic basis 
set used.  In Siesta the cutoff radius (of H) seems to be the critical 
parameter.  I suggest that you check the dipol moment of an isolated water 
molecule (10 Angstrom box).  It should have the correct magnitude and sign for 
the basis set settings you use.

Regards, Ulrich.


 From:   Dan Gil <[email protected]> 
 To:   <[email protected]> 
 Sent:   06.10.2017 16:13 
 Subject:   [SIESTA-L] Mulliken Charges on Water 


Hi,


I am using Siesta 3.2 and ran into a strange problem.


I simulate a water molecule and the Mulliken charges are wrong. It shows that 
the oxygen atom is positively charged and the two hydrogens are negatively 
charged. The Hirshfeld and Voronoi populations are fine. Did I run into a bug?


input.fdf

NumberOfAtoms       3
NumberOfSpecies     4


%block ChemicalSpeciesLabel 
 1  13 Al
 2  14 Si
 3   8 O
 4   1 H
%endblock ChemicalSpeciesLabel


PAO.BasisType     nodes


%block PAO.BasisSizes
Al DZP
Si DZP
O  DZP
H  DZP
%endblock PAO.BasisSizes


XC.functional GGA
XC.authors    PBE


# SCF options
MaxSCFIterations      200
DM.MixingWeight       0.25         # New DM amount for next SCF cycle
DM.Tolerance          1.d-6         # Tolerance in maximum difference
SolutionMethod        diagon        # OrderN or Diagon
MeshCutoff  400 Ry
DM.Require.Energy.Convergence    .true.
DM.Energy.Tolerance              1.d-6 eV


MD.TypeOfRun          CG
MD.NumCGsteps         100
MD.InitialTemperature 300.0 K
MD.TargetTemperature  300.0 K


WriteHirshfeldPop .true.
WriteVoronoiPop     .true.
WriteMullikenPop    1


LatticeConstant 1   Ang


%block LatticeVectors
 9.5160000000  0.0000000000  0.0000000000
-4.7580000000  8.2411000000  0.0000000000
 0.0000000000  0.0000000000 48.2792733630
%endblock LatticeVectors


WarningMinimumAtiomicDistance 1.0 Ang
AtomicCoordinatesFormat  NotScaledCartesianAng
%block AtomicCoordinatesAndAtomicSpecies < Coord.fdf


Coord.fdf

5.265981 -1.943725 -6.378528 3
4.222545 -1.943725 -6.378528 4
5.612381 -0.997652 -6.378528 4


Output (excerpts)

mulliken: Mulliken Atomic and Orbital Populations:

Species: O                   
Atom  Qatom  Qorb
               2s      2s      2py     2pz     2px     2py     2pz     2px     
               2Pdxy   2Pdyz   2Pdz2   2Pdxz   2Pdx2-y2
   1  5.764   1.436  -0.027   1.363   1.793   1.235  -0.023  -0.003  -0.034
              0.003   0.002   0.005   0.001   0.014


Species: H                   
Atom  Qatom  Qorb
               1s      1s      1Ppy    1Ppz    1Ppx    
   2  1.118   0.845   0.036   0.063   0.104   0.070


   3  1.118   0.845   0.036   0.091   0.104   0.042


Hirshfeld Net Atomic Populations:
Atom #    Qatom  Species
     1   -0.234  O                   
     2    0.117  H                   
     3    0.117  H                   


Voronoi Net Atomic Populations:
Atom #    Qatom  Species
     1   -0.171  O                   
     2    0.086  H                   
     3    0.085  H          


Best Regards,


Dan




 
 
 
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