<html><head></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">The application of linear response theory to the calculation of elastic constants implemented in abinit was introduced by Giannozzi, Testa, and myself soon after our paper on linear-response theory, back in 1987 (PRL 59m p. 2662), and rediscovered a few years ago in the abinit group. We never implemented our LRT approach because we always thought that, beside elegance, LRT had few advantages with respect to the brute-force calculation of the elastic constants. We may be wrong, and if anybody volunteers to implement this old idea of ours, I would be delighted to help. In any case, I would be curious to know if the "systematic" calculation of elastic constants in abinit is any faster than what you can get "by hands" either using QE. Cheers - SB<div><br><div><div>On Sep 22, 2010, at 3:45 PM, mohsen modaresi wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite">Dear Stefano, Eyvaz and Mike,<br>Thanks for your reply. I follow this procedure and get Young's Modulus for CNT (3,3):<br>1) relax the structure.<br>2) compressed the structure in Z direction (parallel to the axis of nanotube) and calculate "Force" between atoms and then calculate the Young's Modulus by using it's definition ( E=(F/A)/((L-L0)/L0) ). The result has "good" agreement with reported one. <br>
But one of my friend work with Abinit. Abinit can calculate elastic constant in a systematic way.<br>Dr. Eyvaz Isaev thanks for the link.<br><br> <br> <br><br><div class="gmail_quote">On Tue, Sep 21, 2010 at 5:09 PM, Mike Mehl <span dir="ltr"><<a href="mailto:Michael.Mehl@nrl.navy.mil">Michael.Mehl@nrl.navy.mil</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;">We've changed the link slightly. It's now:<br>
<br>
<a href="http://cst-www.nrl.navy.mil/users/mehl/papers/cij453.pdf" target="_blank">http://cst-www.nrl.navy.mil/users/mehl/papers/cij453.pdf</a><br>
<br>
On 09/21/2010 08:44 AM, Eyvaz Isaev wrote:<br>
><br>
> ------------------------------------------------------------------------<br>
> *From:* mohsen modaresi <<a href="mailto:modaresi.mohsen@gmail.com">modaresi.mohsen@gmail.com</a>><br>
<div class="im"><br>
> See papers: Mehl et al., PhysRev.B 41, 10311, 1990 and Mehl et al, in<br>
> Intermetallic Compounds: Principles and Practice, vol.1, Principles,<br>
> J.H. Wesbrook and R.L. Fleischer, eds, John Wiley and Sons (London,<br>
> 1995), ch.9 (pp. 195-210).<br>
<br>
</div><font color="#888888">--<br>
Michael J. Mehl<br>
Head, Center for Computational Materials Science<br>
Naval Research Laboratory Code 6390<br>
Washington DC<br>
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</div></div></blockquote></div><br><br clear="all"><br>-- <br><div>Mohsen Modarresi, </div>
<div>PhD student of Solid State Physics, Ferdowsi University of Mashhad, Iran.<br>Phone +98-9133452131</div><br>
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<span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0; "><span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; 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text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><span class="Apple-style-span" style="border-collapse: separate; color: rgb(0, 0, 0); font-family: Helvetica; font-size: 14px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; "><div style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; "><div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" size="3"><span class="Apple-style-span" style="font-size: 12px; ">---</span></font></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 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-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><font class="Apple-style-span" size="3"><span class="Apple-style-span" style="font-size: 12px; "><a 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-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; font-size: 12px; "><br style="font-size: 12px; "></div><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; font: normal normal normal 12px/normal Helvetica; min-height: 14px; font-size: 12px; "><span class="Apple-style-span" style="font-size: 14px; "><div style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 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-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 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-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 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-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 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 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></div></span><br class="Apple-interchange-newline"></div></span><br class="Apple-interchange-newline"></div></span><br class="Apple-interchange-newline"></div></span><br class="Apple-interchange-newline"></span><br class="Apple-interchange-newline">
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