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    The book of David Singh explains many of these details in a very
    nice manner. <br>
    <br>
    "Planewaves, Pseudopotentials, and the LAPW Method"<br>
    <br>
    Best Regards<br>
    <br>
    Xavier<br>
    <br>
    <br>
    On 03/14/2012 07:33 PM, Yundi Quan wrote:
    <blockquote
cite="mid:CALsd9riQabNnTLXO5qYM6C8JcKiX55JV6hEkMBk0xUPZHeE5VQ@mail.gmail.com"
      type="cite">Hi, Thanks for you reply.
      <div>By external potential, I mean the sum of the Coulomb
        potential of both nucleus and the electrons. Such a Coulomb
        potential is constructed by solving&nbsp;Poisson equation. Is there
        any technique reports explaining how this is done? (How the
        potential is constructed and how the Poisson equation is
        solved?) If not, I will have to look at the code itself and
        figure it out.</div>
      <div><br>
      </div>
      <div><br>
      </div>
      <div><br>
      </div>
      <div><br>
      </div>
      <div>Yundi<br>
        <br>
        <div class="gmail_quote">On Tue, Mar 13, 2012 at 6:20 AM,
          Laurence Marks <span dir="ltr">&lt;<a moz-do-not-send="true"
              href="mailto:L-marks@northwestern.edu">L-marks@northwestern.edu</a>&gt;</span>
          wrote:<br>
          <blockquote class="gmail_quote" style="margin: 0pt 0pt 0pt
            0.8ex; border-left: 1px solid rgb(204, 204, 204);
            padding-left: 1ex;">When you ask (in the original question)
            "How is the external potential<br>
            chosen inside the Muffin-Tin sphere" what exactly do you
            mean?<br>
            <br>
            Probably the answer is that it is the sum of the Coulomb
            potential<br>
            from the nucleus, the Coulomb potential from the electrons
            (both<br>
            inside and outside the muffin tin) as well as the<br>
            exchange-correllation potential for your choice of
            functional -- this<br>
            is what is used to solve the KS equations. The notes by
            S.Cottenier in<br>
            the textbook section &nbsp;<a moz-do-not-send="true"
              href="http://www.wien2k.at/reg_user/textbooks/"
              target="_blank">http://www.wien2k.at/reg_user/textbooks/</a>
            may be<br>
            useful. Additional terms are included for LDA+U,
            exact-exchange and<br>
            spin-orbit coupling.<br>
            <br>
            If you meant by "external potential" some other type of
            potential<br>
            (e.g. a ramp) applied to the system as a whole, please see
            the<br>
            user-guide for details of what can be applied.<br>
            <br>
            2012/3/12 Nazma Ikram &lt;<a moz-do-not-send="true"
              href="mailto:nazmaikram@hotmail.com">nazmaikram@hotmail.com</a>&gt;:<br>
            <div>
              <div class="h5">&gt; The external potential means external
                to the muffin tin sphere.<br>
                &gt;<br>
                &gt; ________________________________<br>
                &gt; Date: Sat, 10 Mar 2012 15:39:22 -0800<br>
                &gt; From: <a moz-do-not-send="true"
                  href="mailto:quanyundi@gmail.com">quanyundi@gmail.com</a><br>
                &gt; To: <a moz-do-not-send="true"
                  href="mailto:wien@zeus.theochem.tuwien.ac.at">wien@zeus.theochem.tuwien.ac.at</a><br>
                &gt; Subject: [Wien] external potential inside the
                muffin-tin sphere<br>
                &gt;<br>
                &gt; Dear Sir/Madam,<br>
                &gt; How is the external potential chosen inside the
                Muffin-Tin sphere. Is it<br>
                &gt; just the Coulomb potential due to the ion?<br>
                &gt;<br>
                &gt;<br>
                &gt;<br>
                &gt;<br>
                &gt; _______________________________________________
                Wien mailing list<br>
                &gt; <a moz-do-not-send="true"
                  href="mailto:Wien@zeus.theochem.tuwien.ac.at">Wien@zeus.theochem.tuwien.ac.at</a><br>
                &gt; <a moz-do-not-send="true"
                  href="http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien"
                  target="_blank">http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien</a><br>
                &gt;<br>
                &gt; _______________________________________________<br>
                &gt; Wien mailing list<br>
                &gt; <a moz-do-not-send="true"
                  href="mailto:Wien@zeus.theochem.tuwien.ac.at">Wien@zeus.theochem.tuwien.ac.at</a><br>
                &gt; <a moz-do-not-send="true"
                  href="http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien"
                  target="_blank">http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien</a><br>
                &gt;<br>
                <br>
                <br>
                <br>
              </div>
            </div>
            <font color="#888888">--<br>
              Professor Laurence Marks<br>
              Department of Materials Science and Engineering<br>
              Northwestern University<br>
              <a moz-do-not-send="true"
                href="http://www.numis.northwestern.edu" target="_blank">www.numis.northwestern.edu</a>
              <a moz-do-not-send="true" href="tel:1-847-491-3996"
                value="+18474913996">1-847-491-3996</a><br>
              "Research is to see what everybody else has seen, and to
              think what<br>
              nobody else has thought"<br>
              Albert Szent-Gyorgi<br>
            </font>
            <div>
              <div class="h5">_______________________________________________<br>
                Wien mailing list<br>
                <a moz-do-not-send="true"
                  href="mailto:Wien@zeus.theochem.tuwien.ac.at">Wien@zeus.theochem.tuwien.ac.at</a><br>
                <a moz-do-not-send="true"
                  href="http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien"
                  target="_blank">http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien</a><br>
              </div>
            </div>
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