<div dir="ltr"><div><div><div>Respected Kulpreet<br><br></div>I appreciate the way you explained my question. Thank you for suggesting books.<br>Thank you so much.<br><br></div>Best Regard's<br></div>M. Zain<br></div><div class="gmail_extra">
<br><br><div class="gmail_quote">On Fri, Apr 12, 2013 at 3:17 PM, Kulpreet Virdi <span dir="ltr"><<a href="mailto:kulpreet.virdi@cup.uni-muenchen.de" target="_blank">kulpreet.virdi@cup.uni-muenchen.de</a>></span> wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><p>Hi Zaid,</p>
<p> </p>
<p>yes, one way of identifying the Plasmon (energy) is the maximum in loss function (electron energy loss plot) however this is not always correct. The loss function is given by Im [-1/ε] which is equal to [ε2/(ε1^2+ε2^2)]. In the loss function you would see a maximum when there is a local minimum of (ε1^2+ε2^2) or a local maximum of ε2.</p>
<p> </p>
<p>The local maxima of ε2 imply interband transition(s) ; which are often visible in loss spectrum especially for materials containing transition or heavy metals. However a minima of (ε1^2+ε2^2) implies a plasmon excitation.</p>
<p> </p>
<p>The most often used definition of plasmon is when ε2 crosses zero [and a minmum of ε1^2+ε2^2 ] with a positive slope with respect to the energy axis. For details you can check either of these</p>
<p> </p>
<p>M. Fox, Optical Properties of Solids (Oxford University Press,<br>Oxford, UK, 2010).</p>
<p> </p>
<p>V. Gallegos-Orozco, R. Martınez-Sanchez, and F. Espinosa-<br>Magana, Phys. Rev. B 77, 045128 (2008).</p>
<p> </p>
<p>V. J. Keast, A. J. Scott, M. J. Kappers, C. T. Foxon, and C. J.<br>Humphreys, Phys. Rev. B 66, 125319 (2002).</p>
<p> </p>
<p>I guess someone else could help you with the effective number of electrons.</p>
<p> </p>
<p>All the best,</p>
<p> </p>
<p>Kulpreet</p><div><div class="h5">
<p>On Fri, 12 Apr 2013 12:30:09 +0800, Zaid <<a href="mailto:raheskoon@gmail.com" target="_blank">raheskoon@gmail.com</a>> wrote:</p>
<blockquote style="padding-left:5px;border-left:#1010ff 2px solid;margin-left:5px;width:100%">
<div dir="ltr">
<div>
<div>
<div>Respected Wien Users<br><br></div>
I am inexperience in calculating optical properties May any one guide me how to calculate Plasmon energy and Number of effective electrons ? After some effort I came to know that the energy associated to highest peak value in Electron loss plot will be Plasmon energy. While value for No of effective electrons can be obtained from X KRAM sumrule. Can Any one confirm this information true ? And which sum rule should be selected ? <br>
<br></div>
<div>Best Regards</div>
M, Zaid</div>
</div>
</blockquote>
<p> </p>
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