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    Dear sir,<br>
    <br>
    Thank you for your detailed explanation. My understanding on the TS
    is improved.<br>
    <br>
    best<br>
    <br>
    vega<br>
    <br>
    On 09/30/10 16:21, Stefano Baroni wrote:
    <blockquote cite="mid:2B6F3476-5E4E-4828-B54B-6F39114BFBC6@sissa.it"
      type="cite"><br>
      <div>
        <div>On Sep 29, 2010, at 5:32 PM, vega lew wrote:</div>
        <br class="Apple-interchange-newline">
        <blockquote type="cite">
          <div bgcolor="#ffffff" text="#000000"> Through the relaxation
            of a oxygen molecule on a surface by QE4.2, it dissociated
            and adsorbed on the surface. The scf energy of each step has
            decreased in compared with the previous step until the
            relaxation completed. Now, can one say that there is not any
            TS for O2 dissociation here ? <br>
            <br>
            <blockquote type="cite"> Probably not. The potential energy
              surface might be not very corrugated and the energy
              barrier for the dissociation might be not very large, so
              that the dissociation of O2 could happen in a relax
              calculation. I think there might be a very minute TS in
              the dissociation process.<br>
            </blockquote>
          </div>
        </blockquote>
        <div><br>
        </div>
        here, I beg to differ. If a state, say B, can be reached from
        another state, say A, following a path along which the energy
        always decreases, this means *by definition* that there is *no*
        energy barrier between A and B. I admit that if the energy
        barrier is so "minute" as to be smaller that the numerical
        accuracy of the minimization algorithm, it can escape proper
        detection. (notice that this can be said of most, if not all,
        numerical computations of any quantity)</div>
      <div><br>
        <blockquote type="cite">
          <div bgcolor="#ffffff" text="#000000"> <br>
            Or is the reaction spontaneous ? <br>
          </div>
        </blockquote>
        <div><br>
        </div>
        It is spontaneous</div>
      <div><br>
        <blockquote type="cite">
          <div bgcolor="#ffffff" text="#000000">
            <blockquote type="cite">If the total energy of system goes
              down continuously and the adsorption energy of dissociated
              state is lower than the one of molecular state, you could
              say the reaction is favorable. Whether it is spontaneous,
              it is depend on how large of the energy barrier.<br>
            </blockquote>
          </div>
        </blockquote>
        <div><br>
        </div>
        in the reported conditions, the energy barrier is zero</div>
      <div><br>
        <blockquote type="cite">
          <div bgcolor="#ffffff" text="#000000">
            <blockquote type="cite">If there was a TS in this procedure
              (dissociation and adsorption of O2) would the optimization
              algorithm of QE4.2 stop the work or continue ? <br>
            </blockquote>
          </div>
        </blockquote>
        <div><br>
        </div>
        In the presence of an energy barrier, the system would stay
        stuck in the starting configuration</div>
      <div><br>
      </div>
      <div>Stefano</div>
      <div> <br>
        <blockquote type="cite">
          <div bgcolor="#ffffff" text="#000000">If there is only one
            bond broken in the process you considered, you could try
            constrained optimization technique. For you information,
            please refer to B.Hammer (Hammer, B.; Jacobsen, K. W.;
            Norskov, J. K. Phys. Rev. Lett. 1992, 69, 1971) or PJ Hu's
            work. (Alavi, A.; Hu, P.; Deutsch, T.; Silvestrelli, P. L.;
            Hutter, J. Phys. Rev. Lett. 1998, 80, 3650). Or recent
            developed method by ZP Liu (J. Chem. Theory Comput. 2010, 6,
            1136–1144 )<br>
          </div>
        </blockquote>
        <div><br>
        </div>
        If I have not misunderstood some important point, no constrained
        minimization or other advanced techniques are needed here.</div>
      <div><br>
      </div>
      <div>Stefano B</div>
      <div><br>
      </div>
      <div>
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                          <div>
                            <div style="margin: 0px;"><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">---</span></font></div>
                            <div style="margin: 0px;"><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">Stefano
                                  Baroni - SISSA</span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">  </span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">&</span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">  </span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">DEMOCRITOS
                                  National Simulation Center - Trieste</span></font></div>
                            <div style="margin: 0px;"><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;"><a
                                    moz-do-not-send="true"
                                    href="http://stefano.baroni.me">http://stefano.baroni.me</a>
                                  [+39] 040 3787 406 (tel) -528 (fax) /
                                  stefanobaroni (skype)</span></font></div>
                            <div style="margin: 0px; font: 12px
                              Helvetica; min-height: 14px;"><br
                                style="font-size: 12px;">
                            </div>
                            <div style="margin: 0px; font: 12px
                              Helvetica; min-height: 14px;"><span
                                class="Apple-style-span"
                                style="font-size: 14px;">
                                <div style="margin: 0px;"><font
                                    class="Apple-style-span" size="3"><span
                                      class="Apple-style-span"
                                      style="font-size: 12px;">La morale
                                      est une logique de l'action comme
                                      la logique est une morale de la
                                      pensée - Jean Piaget</span></font></div>
                                <div style="margin: 0px;"><font
                                    class="Apple-style-span" size="3"><span
                                      class="Apple-style-span"
                                      style="font-size: 12px;"><br>
                                    </span></font></div>
                              </span></div>
                            <div style="margin: 0px;"><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">Please, if
                                  possible, don't</span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">  </span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">send me MS
                                  Word or PowerPoint attachments</span></font></div>
                            <div style="margin: 0px;"><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">Why? See:</span></font><font
                                class="Apple-style-span" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;">  </span></font><font
                                class="Apple-style-span" color="#0023e9"
                                size="3"><span class="Apple-style-span"
                                  style="font-size: 12px;"><a
                                    moz-do-not-send="true"
                                    href="http://www.gnu.org/philosophy/no-word-attachments.html">http://www.gnu.org/philosophy/no-word-attachments.html</a></span></font></div>
                            <div><font class="Apple-style-span"
                                color="#0023e9" size="3"><span
                                  class="Apple-style-span"
                                  style="font-size: 12px;"><br
                                    class="webkit-block-placeholder">
                                </span></font></div>
                          </div>
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      <br>
      <pre wrap="">
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    </blockquote>
    <br>
    <div class="moz-signature">-- <br>
      <p><font color="black">
          ================================================<br>
          Vega Lew ( weijia liu)<br>
          Graduate student<br>
          State Key Laboratory of Materials-oriented Chemical
          Engineering<br>
          Nanjing University of Technology, 210009, Nanjing, China<br>
***************************************************************<br>
          Email: <a class="moz-txt-link-abbreviated" href="mailto:vegalew@gmail.com">vegalew@gmail.com</a><br>
          Office: Room A705, Technical Innovation Building,<br>
          Xinmofan Road 5#, Nanjing, China<br>
***************************************************************<br>
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