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    <p>According to [1], corundum has point group D3d in Schoenflies
      notation.</p>
    <p>Character Tables at [2,3] have for D3d:<br>
    </p>
    <p>A1g with x2 + y2, <font color="#0000ff">z2</font> in quadratic
      notation<br>
    </p>
    <p>Eg with <font color="#ff8000">(x2 − y2, xy)</font>, <font
        color="#ff00ff">(xz, yz)</font> in quadratic notation<br>
    </p>
    <p>Prof. Blaha at [4] mentioned that with ISPLIT=4, the header of
      case.qtl is expected to give:<br>
      s,p,pz,pxy,d,<font color="#0000ff">d-z2</font>,<font
        color="#ff8000">(d-xy,dx2-y2)</font>,<font color="#ff00ff">(d-xz,dyz)</font>,f<br>
    </p>
    <p>Therefore, it looks like A1g is given as <font color="#0000ff">d-z2</font>
      and Eg is give as <font color="#ff8000">(d-xy,dx2-y2)</font> and
      <font color="#ff00ff">(d-xz,dyz)</font>.<br>
    </p>
    <p>At [3], if you click the "Click here to get more detailed
      information on they symmetry operations" link on the webpage, it
      gives another webpage with another table having a "Matrix form"
      column that seems to correspond to the transformation matrices
      (Identity, Inverse, Rotations, etc. [5]) used create the character
      table [8,9].</p>
    <p>It is not clear to me what you mean by <font color="#008000">pi</font>
      and <font color="#804000">sigma</font>. Is pi for example when
      two d-xz orbitals overlap such as that in the image of [6,7]?<br>
    </p>
    [1] <a class="moz-txt-link-freetext" href="https://en.wikipedia.org/wiki/Hexagonal_crystal_family">https://en.wikipedia.org/wiki/Hexagonal_crystal_family</a><br>
    [2]
<a class="moz-txt-link-freetext" href="https://en.wikipedia.org/wiki/List_of_character_tables_for_chemically_important_3D_point_groups#Antiprismatic_groups_(Dnd)">https://en.wikipedia.org/wiki/List_of_character_tables_for_chemically_important_3D_point_groups#Antiprismatic_groups_(Dnd)</a><br>
    [3]
<a class="moz-txt-link-freetext" href="https://www.cryst.ehu.es/cgi-bin/rep/programs/sam/point.py?sg=162&num=20">https://www.cryst.ehu.es/cgi-bin/rep/programs/sam/point.py?sg=162&num=20</a><br>
    [4]
<a class="moz-txt-link-freetext" href="https://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/msg19805.html">https://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/msg19805.html</a><br>
    [5]
    <a class="moz-txt-link-freetext" href="http://w0.rz-berlin.mpg.de/imprs-cs/download/symmetry2011_1_K_Horn.pdf">http://w0.rz-berlin.mpg.de/imprs-cs/download/symmetry2011_1_K_Horn.pdf</a>
    (slide 6)<br>
    [6] <a class="moz-txt-link-freetext" href="https://www.chemtube3d.com/salc-d-d-orbitaloverlap/">https://www.chemtube3d.com/salc-d-d-orbitaloverlap/</a><br>
    [7]
<a class="moz-txt-link-freetext" href="https://commons.wikimedia.org/wiki/File:Quintuple_bond_orbital_diagram2.png">https://commons.wikimedia.org/wiki/File:Quintuple_bond_orbital_diagram2.png</a><br>
    <p>Informational video with PowerPoint slides on what a Character
      Table is:</p>
    [8]
<a class="moz-txt-link-freetext" href="https://cosmolearning.org/video-lectures/character-tables-one-application-symmetry/">https://cosmolearning.org/video-lectures/character-tables-one-application-symmetry/</a><br>
    [9] <a class="moz-txt-link-freetext" href="https://www.chem.uci.edu/~lawm/10-2.pdf">https://www.chem.uci.edu/~lawm/10-2.pdf</a><br>
    <p><br>
    </p>
    <div class="moz-cite-prefix">On 4/4/2020 3:13 PM, Wasim Raja Mondal
      wrote:<br>
    </div>
    <blockquote type="cite"
cite="mid:CAGfip2WXYP-z7=q=JZBJMid-JNN2OzSpERRsLc2HA2yOiev8rg@mail.gmail.com">
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      <div dir="ltr">Dear expert, 
        <div>                     Can you anyone suggest what rotation
          matrix for V2O3 corundum structure with qsplit=4 should I take
          to decoupling the d orbital, a1g,eg\<font color="#008000">pi</font>,
          eg\<font color="#804000">sigma</font>?</div>
        <div><br>
        </div>
        <div>Thanks</div>
        <div>Wasim</div>
      </div>
    </blockquote>
    <blockquote type="cite"
cite="mid:CAGfip2WXYP-z7=q=JZBJMid-JNN2OzSpERRsLc2HA2yOiev8rg@mail.gmail.com"></blockquote>
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