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<p class="MsoNormal"><span lang="DE-CH" style="font-size:11.0pt;mso-fareast-language:EN-US">Dear Kejiang<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="DE-CH" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US">You cite a sentence describing the on-site multiplicities for each iron atom. Within an antiferromagnetic setup, e.g. for cubic FeO, the overall MULTIPLICITY of the
 simulation cell is 1 (the default value in CP2K with LSD).<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US">I would not trust the answer of ChatGPT concerning the multiplicity of Fe(+2) and Fe(+3). I suggest to have a look at a text book.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US">Matthias<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="font-size:11.0pt;mso-fareast-language:EN-US"><o:p> </o:p></span></p>
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<b><span style="font-size:12.0pt;font-family:"Aptos",sans-serif;color:black">From:
</span></b><span style="font-size:12.0pt;font-family:"Aptos",sans-serif;color:black">cp2k@googlegroups.com <cp2k@googlegroups.com> on behalf of Kejiang Li <lyam_likej@126.com><br>
<b>Date: </b>Wednesday, 22 November 2023 at 05:02<br>
<b>To: </b>cp2k <cp2k@googlegroups.com><br>
<b>Subject: </b>Re: [CP2K:19545] Re: Significant discontinuity in EOS curver for FeO<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:36.0pt"><span style="font-size:11.0pt">Dear Mathias,<br>
<br>
I have read the excellent paper you provided, in which it states: "</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif;color:#0F0F0F">The simulations were performed with a multiplicity (2S + 1)Fe2+ = 5 for systems with a ferrous iron and
 (2S + 1)Fe3+ = 6 for systems with a ferric iron, respectively.</span><span style="font-size:11.0pt">"<br>
<br>
Should I set the MULTIPLICITY in cp2k to 5 for FeO system? Does MULTIPLICITY have a noticeable influence on the EOS curve?<br>
<br>
Btw, could you please help to explain how to calucalte the MULTIPLICITY for Fe2+ or Fe3+? I got the following results from ChatGPT, which differs from yours.<br>
<br>
<br>
<o:p></o:p></span></p>
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<![if !supportLists]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"><span style="mso-list:Ignore">1.<span style="font:7.0pt "Times New Roman"">   
</span></span></span><![endif]><b><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif;border:solid #D9D9E3 1.0pt;padding:0cm">Fe²⁺ (Iron(II) Ion)</span></b><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">: Loses two electrons.<o:p></o:p></span></p>
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<div style="mso-element:para-border-div;border:solid #D9D9E3 1.0pt;padding:0cm 0cm 0cm 5.0pt;margin-left:90.0pt;margin-right:0cm">
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Electron configuration:
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">[</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">Ar</span></i><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">]3</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">d</span></i><span style="font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">6</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">There are 6 electrons in the 3d orbital. According to Hund's rule, the maximum multiplicity arises when the electrons are unpaired as much as possible. The 3d orbital
 can hold up to 10 electrons, so with 6 electrons, 4 of them can be paired, and 2 are unpaired.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Total spin
</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">S</span></i><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"> is the number of unpaired electrons divided by 2, which is
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">2/2=1</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Multiplicity =
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">2</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">S</span></i><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">+1=2×1+1=3</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Therefore, the multiplicity for Fe²⁺ is 3.<o:p></o:p></span></p>
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<p style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo1;border:none;padding:0cm;box-sizing: border-box">
<![if !supportLists]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"><span style="mso-list:Ignore">2.<span style="font:7.0pt "Times New Roman"">   
</span></span></span><![endif]><b><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif;border:solid #D9D9E3 1.0pt;padding:0cm">Fe³⁺ (Iron(III) Ion)</span></b><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">: Loses three electrons.<o:p></o:p></span></p>
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<div style="mso-element:para-border-div;border:solid #D9D9E3 1.0pt;padding:0cm 0cm 0cm 5.0pt;margin-left:90.0pt;margin-right:0cm">
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Electron configuration:
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">[</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">Ar</span></i><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">]3</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">d</span></i><span style="font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">5</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">There are 5 electrons in the 3d orbital. With 5 electrons, 3 can be unpaired while 2 are paired.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Total spin
</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">S</span></i><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif"> is
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">3/2=1.5</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Multiplicity =
</span><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">2</span><i><span style="font-size:14.5pt;font-family:"KaTeX_Math",serif;border:solid #D9D9E3 1.0pt;padding:0cm">S</span></i><span style="font-size:14.5pt;font-family:"Times New Roman",serif;border:solid #D9D9E3 1.0pt;padding:0cm">+1=2×1.5+1=4</span><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">.<o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level2 lfo1;border:none;padding:0cm">
<![if !supportLists]><span style="font-family:Symbol"><span style="mso-list:Ignore">·<span style="font:7.0pt "Times New Roman"">        
</span></span></span><![endif]><span style="font-size:12.0pt;font-family:"Segoe UI",sans-serif">Therefore, the multiplicity for Fe³⁺ is 4.<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:36.0pt"><span style="font-size:11.0pt">Thanks a lot.<br>
<br>
Best regards,<br>
Kejiang<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:36.0pt"><span style="font-size:11.0pt">On Wednesday, November 22, 2023 at 8:58:45 AM UTC+8 Kejiang Li wrote:<o:p></o:p></span></p>
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<span style="font-size:11.0pt">Dear Matthias,<br>
<br>
Thanks a lot for providing the information.<br>
<br>
Could you please provide your input file for CP2K for reference? Maybe I made a mistake somewhere.<br>
<br>
Best regards,<br>
Kejiang<o:p></o:p></span></p>
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<p class="MsoNormal" style="margin-left:36.0pt"><span style="font-size:11.0pt">On Tuesday, November 21, 2023 at 11:29:14 PM UTC+8 Krack Matthias wrote:<o:p></o:p></span></p>
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<span lang="DE-CH" style="font-size:11.0pt">Hi </span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="DE-CH" style="font-size:11.0pt"> </span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt">The EOS curve for FeO (2x2x2) looks fine for me (see attached plot) using PBE and the
<a href="https://pubs.acs.org/doi/10.1021/acs.est.7b01670" target="_blank">suggested Hubbard U(eff) value of 1.9 eV for iron</a> with CP2K.</span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt"> </span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt">Best</span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt"> </span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt">Matthias</span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span lang="EN-US" style="font-size:11.0pt"> </span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<b><span style="font-size:12.0pt;color:black">From: </span></b><span style="font-size:12.0pt;color:black">cp...@googlegroups.com <cp...@googlegroups.com> on behalf of Jürg Hutter <hut...@chem.uzh.ch><br>
<b>Date: </b>Tuesday, 21 November 2023 at 09:46<br>
<b>To: </b>cp...@googlegroups.com <cp...@googlegroups.com><br>
<b>Subject: </b>Re: [CP2K:19537] Re: Significant discontinuity in EOS curver for FeO</span><span style="font-size:11.0pt"><o:p></o:p></span></p>
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<span style="font-size:11.0pt">Hi<br>
<br>
what is the setup for the QE calculation (cell, k-points, magnetization)?<br>
<br>
regards<br>
JH<br>
<br>
________________________________________<br>
From: cp...@googlegroups.com <cp...@googlegroups.com> on behalf of Kejiang Li <lyam_...@126.com><br>
Sent: Monday, November 20, 2023 2:26 AM<br>
To: cp2k<br>
Subject: [CP2K:19531] Re: Significant discontinuity in EOS curver for FeO<br>
<br>
Dear all,<br>
<br>
To add one more point.<br>
As it was said, using a reference cell might solve this problem (<a href="https://groups.google.com/g/cp2k/c/N52jLt2yAIQ/m/JAlV3KTVUtIJ" target="_blank">https://groups.google.com/g/cp2k/c/N52jLt2yAIQ/m/JAlV3KTVUtIJ</a>). You will notice that I used &CELL_REF
 in my input script, which did not solve my problem.<br>
<br>
Thanks.<br>
Kejiang<br>
<br>
On Monday, November 20, 2023 at 9:00:11 AM UTC+8 Kejiang Li wrote:<br>
Dear CP2K community,<br>
<br>
I am calculating the EOS for FeO with a 2*2*2 supercell. But there is always a significant discontinuity (sharp decrease) in the range of 4.3-4.4 angstrom lattice constant in the EOS curves, as shown in the figures below.<br>
<br>
I have done the following tests:<br>
- the convergence of the energy with different cutoffs;<br>
- using different functionals, including PBE, HSE, and SCAN;<br>
-including HSE with different HF fractions;<br>
-using different magnetization and +U settings.<br>
However, all the tests produce similar results with an apparent discontinuity (4.3-4.3 A) .<br>
<br>
This discontinuity is not observed in the Quantum Espresso results conducted by myself and in the results of literature that generally used VASP.  I believe that the CP2K program might cause this problem.<br>
<br>
Can you give me more suggestions on how to do further tests?<br>
<br>
Here, I also attached one sample code I used during my tests.<br>
<br>
Thanks a lot.<br>
<br>
Best regards,<br>
Kejiang<br>
The University of Science and Technology Beijing<br>
<br>
[cp2k_functionals.jpg]<br>
[cp2k_mag_u.jpg][cp2k_mag_u2.jpg]<br>
<br>
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