This puzzle can be explained only in 2 ways:

a) You have an pen, cage-like structure. In such cases it is possible to have a non-nuclear maximum in the density and in spin-polarized situation, it could host a magnetic moment. However, I only know one of such cases, namely a Na-electro-sodalite.

b) More likely: Your calculation (RKMAX, etc.) is not well converged and you have a large discontinuity at RMT. In such cases it can happen that the Bader volume is "confined" to the atomic sphere due to this discontinuity, which would also explain that your :MMI values and the Bader moments are so close.
Increase RKMAX, GMAX, LM list in case.in2 (L=8 or even 10)

Without a struct file and testing it myself it is not possible to make further comments.

Regards
Peter Blaha

Am 6/28/22 um 06:57 schrieb reyhaneh ebrahimi:
Dear Prof. Laurance Marks

Thank you very much for your prompt and valuable comments.

a)In the second approach where you use different Bader surfaces for up/dn, you have to do the editing for dn, run aim, for up, run aim then take the difference.

The difference between up and down spin states for my compound is: 34.02630641 - 26.93459372  = 7.09171269 mu_B.

b)What is your :MMTOT?

The MMTOT for my compound using PBE-GGA and WIEN2k code is: 7.442925 mu_B

c)PBE is of course problematic for 4f elements such as Gd.

I used other approximations for the exchange-correlation functional such as PBE-GGA+U which are more appropriate for describing the 4f-based systems. But my results a little bit change compared to the results obtained without Hubbard parameter. MMTOT using PBE+U (U_eff=6eV) and WIEN2k code is: 7.51 mu_B.

But from the above results, I still do not know why there is a difference between the MMTOT using WIEN2k code and the result of AIM method. As can be seen, this difference is about 0.4 which is mainly caused by the interstitial magnetic moment in WIEN2k code.

Sincerely yours,

Reyhaneh Ebrahimi


On Fri, Jun 24, 2022 at 11:45 PM reyhaneh ebrahimi <reyhanehebrahim...@gmail.com <mailto:reyhanehebrahim...@gmail.com>> wrote:

    Dear WIEN2k users;

    Would you please let me know why for an antiferromagnetic system, as
    stated in
    “https://www.mailarchive.com/wien@zeus.theochem.tuwien.ac.at/msg11651.html
    
<https://www.mailarchive.com/wien@zeus.theochem.tuwien.ac.at/msg11651.html>”,
    we compare MMI00X with the experimental data? Although we know that
    MMINIT is always zero for an antiferromagnetic system, but this does
    not mean that the contribution of the magnetic moment of an atom in
    the interstitial region is zero. Zero MMINT may be due tothe
    cancellation of MMINIT of an atom with up spin states and another
    atom with down spin states. Therefore, an atom may have the non-zero
    MMINT in the interstitial region.In this case, MMINT should be
    summed with the MMI00X and then compared with experimental data. For
    example, MMTOT is always zero for antiferromagnetic systems, but
    this does not mean that the magnetic moment of an atom is zero.

    Thank you very much;

    Sincerely yours


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Peter Blaha, Inst.f. Materials Chemistry, TU Vienna, A-1060 Vienna
Phone: +43-1-58801-165300          Email: peter.bl...@tuwien.ac.at
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