CCL:G: bader chargers




A fundamental problem that has not yet been pointed out in this thread is that Bader (or, perhaps more informatively, AIM) charges computed using a pseudopotential basis set are unlikely to match the same charges computed with an all-electron basis set even if the pseudopotential is "perfect" (where "perfect" means that the density of the valence electrons is precisely the same with the pseudopotential as in an all-electron calculation at the same level with an infinitely flexible treatment of the core).

By using a pseudopotential, the atomic basins will be defined by the zero-flux surfaces of those electrons included in the calculation. There is certainly no reason to suspect that the ignored core electron density will (i) have the same zero-flux surfaces or (ii) integrate to the correct integer number of electrons within the valence zero-flux surfaces.

As such, unless one wants to define a new model chemistry for AIM with missing core electrons (which doesn't seem particularly profitable to me, personally), one should avoid AIM analysis in the absence of an all-electron basis set. If the core is REALLY small, then perhaps one can be confident that the density of the missing electrons will be vanishingly small by the time one reaches the zero-flux surface about any atom, but since these surfaces may be as near as half a bond-length to another atom, that's a pretty steep requirement (so to speak).

Chris Cramer

On Aug 22, 2010, at 5:38 PM, Alan Shusterman alan . reed.edu wrote:

I think the Bader charge you have is ok. The lanl2dz replaces core electrons on Au with a model potential. Just figure out how many core electrons on Au were replaced (-N) and add that to the Bader charge you have right now (+Q) to get the "correct" Bader charge.

Alan

On 8/20/2010 10:27 AM, neranjan perera neranjan007],[gmail.com wrote:
Hi,
  Thank you very much for the help given to understand how it is calculated,

I do have a another question concerning the bader charges,
I used to create a cube file using gaussian, and converted it to bader charges. I used b3lyp theory and  lanl2dz basis set for Au atoms and 6-31g** for the other atoms.

 To calculate the partial chargers using , subtracting the Bader charge > from the Valance number of electrons gives me a good result for the atoms which basis 6-31g** was used.  But not for the Au (gold) atoms.
The bader charge for the gold atoms are around 18.8~18.9

How can I calculate the partial charge for the Au atoms when lanl2dz basis is used?

Thank you very much.

Regards,
Neranjan Perera





The numbers have simply been substracted from their atomic numbers, as is done in population analysis schemes
PKI


On Wed, Aug 18, 2010 at 2:33 AM, Robert McGibbon rmcgibbo{=}princeton.edu <owner-chemistry*-*ccl.net> wrote:
Seems very simple. They just subtract the number of electrons in the Bader region from the number of protons. Thus, the partial charge on oxygen is 8 - 9.1566 = -1.157, and in the hydrogen region it's 1 - 0.4238 = +0.576. 

Here's the relevant section of the paper:

====

Three Bader regions were found, each containing one atom. The total charge in each one of the regions around the hydrogen atoms contained 0.4238 electrons and the oxygen region contained 9.1566 electrons, which gives a sum of 10.0041 electrons. The atomic partial charges are the same as found by Bader [2] (see Table 1), showing that these two different algorithms yield the same results.



Table 1.

Partial charge of oxygen and hydrogen in an isolated water molecule





Partial charge

O atom H atoms
Baderâs original work â1.16 +0.58
This work â1.157 +0.576



----
Robert McGibbon
Princeton University
Undergraduate Class of 2011

On Tue, Aug 17, 2010 at 11:32 PM, neranjan perera neranjan007]*[gmail.com <owner-chemistry()ccl.net> wrote:
Hi,
 In the paper " G. Henkelman et al. / Computational Materials Science 36 (2006) 354â360" , they have got bader chargers for water (H2O) as,
For   Hydrogen   0.4238 e
        Oxygen     9.1566 e
 
and then converted these Bader chargers into atomic partial charges;
       Hydrogen   +0.58
       Oxygen      -1.16

So I want to know how to do the above conversion ?


Thanks
Neranjan Perera.


                                                                       

On Tue, Aug 17, 2010 at 9:21 PM, Radoslaw Kaminski rkaminski.rk[#]gmail.com <owner-chemistry|ccl.net> wrote:
What do you understand by these 'atomic partial charges'?

Radek


2010/8/17 neranjan perera neranjan007!A!gmail.com <owner-chemistry|,|ccl.net>

Hi,
   how can i convert "bader chargers" to "atomic partial chargers"?

Thanks.


Neranjan Perera.
neranjan007 *-* gmail.com

--
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Department of Chemistry
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Radoslaw Kaminski, M.Sc. Eng.
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Crystallochemistry Laboratory
Department of Chemistry
University of Warsaw
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http://acid.ch.pw.edu.pl/~rkaminski/



--
Graduate Student
Department of Chemistry
University of Connecticut



--
 Alan Shusterman
 Chemistry Department
 Reed College
 Portland, OR 97202-8199
 503-517-7699
 http://blogs.reed.edu/alan/
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Christopher J. Cramer

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University of Minnesota

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