<div dir="ltr">

<span style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">Dear Gavin,</span><div style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br></div><div style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">Now I have used the same tetragonal structure with centrosymmetric atomic positions.  The polarization calculated with the centrosymmetric structure is in an order of e-13. So it didn't modify the results significantly. I am attaching the currently used centrosymmetric, non-centrosymmetric structures.</div><div style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial"><br></div><div style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">Regards</div><div style="color:rgb(34,34,34);font-family:arial,sans-serif;font-size:12.8px;font-style:normal;font-variant-ligatures:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial">Lokanath</div>

<br></div><div class="gmail_extra"><br><div class="gmail_quote">On Tue, May 8, 2018 at 2:08 PM, Lokanath Patra <span dir="ltr"><<a href="mailto:lokanath@students.cutn.ac.in" target="_blank">lokanath@students.cutn.ac.in</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">Dear Gavin,<div><br></div><div>Now I have used the same tetragonal structure with centrosymmetric atomic positions. I am attaching the file. The polarization calculated with the centrosymmetric structure is in an order of e-13. So it didn't modify the results significantly. I am attaching the currently used centrosymmetric, non-centrosymmetric structures as well as the screen shots of the results. </div><div><br></div><div>Regards</div><span class="HOEnZb"><font color="#888888"><div>Lokanath</div></font></span></div><div class="HOEnZb"><div class="h5"><div class="gmail_extra"><br><div class="gmail_quote">On Tue, May 8, 2018 at 9:20 AM, Rubel, Oleg <span dir="ltr"><<a href="mailto:rubelo@mcmaster.ca" target="_blank">rubelo@mcmaster.ca</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">



<div dir="auto">
<div></div>
<div>Dear Gavin,</div>
<div><br>
</div>
<div>This is a very good point. I certainly agree that the symmetry of the cubic structure should be reduced to that of the tetragonal structure.</div>
<div><br>
</div>
<div>Thank you </div><span class="m_-2438408278099284877HOEnZb"><font color="#888888">
<div>Oleg </div></font></span><div><div class="m_-2438408278099284877h5">
<div><br>
On May 8, 2018, at 04:05, Gavin Abo <<a href="mailto:gsabo@crimson.ua.edu" target="_blank">gsabo@crimson.ua.edu</a>> wrote:<br>
<br>
</div>
<blockquote type="cite">
<div>
<p><font face="Times New Roman">In the BaTiO3 tutorial, lambda1.struct and lambda0.struct both have spacegroup 99_P4mm and 8 symmetry operations [
<a class="m_-2438408278099284877m_-6494142333561032302moz-txt-link-freetext" href="https://github.com/spichardo/BerryPI/wiki/Tutorial-1:-Spontaneous-Polarization-in-BaTiO3" target="_blank">
https://github.com/spichardo/B<wbr>erryPI/wiki/Tutorial-1:-Sponta<wbr>neous-Polarization-in-BaTiO3</a> ].</font></p>
<p><font face="Times New Roman">I see a sentence in the tutorial:<br>
</font></p>
<p><font face="Times New Roman"><i>The symmetry operations are identical (!) to the lambda1 case, in spite of a higher symmetry of the lambda0 structure.</i><br>
</font></p>
<p>Perhaps that is the sentence that another user got that the symmetry might need to remain the same [
<a class="m_-2438408278099284877m_-6494142333561032302moz-txt-link-freetext" href="https://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/msg16112.html" target="_blank">
https://www.mail-archive.com/w<wbr>ien@zeus.theochem.tuwien.ac.at<wbr>/msg16112.html</a> ].<br>
</p>
<p>The tet1.struct has spacegroup 99_P4mm, while cubic.struct has spacegroup 221_Pm3m.</p>
<p>According to the tutorial:<br>
</p>
<p><i>8. Spontaneous polarization is obtained by taking a difference in polarization between P(lambda1) and P(lambda0)</i> -> Difference between tet1 and cubic for the PbTiO3 case?<br>
</p>
<p>For PbTiO3, is it okay that there are "8 NUMBER OF SYMMETRY OPERATIONS" in cubic.struct and "48 NUMBER OF SYMMETRY OPERATIONS" in tet1.struct for the spontaneous polarization calculation?<br>
</p>
<div class="m_-2438408278099284877m_-6494142333561032302moz-cite-prefix">On 5/7/2018 4:36 AM, Lokanath Patra wrote:<br>
</div>
<blockquote type="cite">
<div dir="ltr">Dear Oleg,
<div><br>
</div>
<div>I am attaching the structure files which I have used for the calculation. I have used similar procedure as given for BaTiO3 tutorial (same parameters for initialising and same k-point mesh for Berrypi. The calculated polarisation for cubic phase is very
 low. So so spontaneous polarisation is still very low as given in my previous mail. I am unable to trace my mistakes.</div>
<div><br>
</div>
<div>Best regards</div>
<div>Lokanath</div>
</div>
<div class="gmail_extra"><br>
<div class="gmail_quote">On Wed, May 2, 2018 at 7:25 PM, Oleg Rubel <span dir="ltr">
<<a href="mailto:rubelo@mcmaster.ca" target="_blank">rubelo@mcmaster.ca</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<span>Dear Lokanath,<br>
<br>
PbTiO3 was one of compounds used in the test of BerryPI (see Table 3 in<br>
<a href="http://olegrubel.mcmaster.ca/publications/2013/Ahmed_CPC_184_2013.pdf" rel="noreferrer" target="_blank">http://olegrubel.mcmaster.ca/p<wbr>ublications/2013/Ahmed_CPC_184<wbr>_2013.pdf</a>). I think you should also compute polarization
 in the cubic structure of PbTiO3 even though they are deemed to have no polarization. If this does not help, I would suggest looking into the structure more carefully, tetragonal distortion, compare with experiment, etc.<br>
<br>
<br>
I hope it will help<br>
Oleg<br>
<br>
-- <br>
Oleg Rubel (PhD, PEng)<br>
Department of Materials Science and Engineering<br>
McMaster University<br>
JHE <a href="https://maps.google.com/?q=359,+1280+Main+Street+West,+Hamilton,+Ontario+L8S+4L8,+Canada&entry=gmail&source=g" target="_blank">
359, 1280 Main Street West, Hamilton, Ontario L8S 4L8, Canada</a><br>
Email: <a href="mailto:rubelo@mcmaster.ca" target="_blank">
rubelo@mcmaster.ca</a><br>
Tel: +1-905-525-9140, ext. 24094<br>
Web: <a href="http://olegrubel.mcmaster.ca" rel="noreferrer" target="_blank">
http://olegrubel.mcmaster.ca</a><br>
<br>
On 2018-May-02 08:38, Lokanath Patra wrote:<br>
</span>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
<div>
<div class="m_-2438408278099284877m_-6494142333561032302h5">Dear all,<br>
<br>
I am using Berry phase tutorial to calculate the polarization of PbTiO3. I have followed the BaTiO3 tutorial. I have two structures, one is tetragonal (non-centrosymmetric) and the second one is cubic (centrosymmetric). I have calculated the (spontaneous) polarization
 as 1.189769e-01 C/m2 (as the cubic system doesn't posses any polarization) which is very low as the reported values are around 80 to 100 µC/cm2. Please help me.<br>
<br>
Regards<br>
Lokanath<br>
<br>
-- <br>
Lokanath Patra<br>
Ph.D Scholar<br>
Dept. of Physics<br>
School of Applied and Basic Sciences<br>
Central University of Tamil Nadu<br>
Thiruvarur<br>
Tamil Nadu - 610004<br>
Ph no - +91-8675834507<br>
<br>
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<div dir="ltr"><span style="color:rgb(136,136,136)">Lokanath Patra</span>
<div style="color:rgb(136,136,136)">Ph.D Scholar</div>
<div style="color:rgb(136,136,136)">Dept. of Physics</div>
<div style="color:rgb(136,136,136)">School of Applied and Basic Sciences</div>
<div style="color:rgb(136,136,136)">Central University of Tamil Nadu</div>
<div style="color:rgb(136,136,136)">Thiruvarur</div>
<div style="color:rgb(136,136,136)">Tamil Nadu - 610004</div>
<div style="color:rgb(136,136,136)">Ph no - +91-8675834507</div>
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