<div dir="ltr">Hi Hajar,<div><br></div><div>The edge energies are ~800% different, and the magic angles will also be ~800% different.  It will be completely impossible to have both edges within magic angle in the same experiment.  Although that is likely a theoretical problem, as I don't think people usually measure EELS up to 10,000 eV.  That's more X-ray regime.  (There is also a so-called "magic angle" in x-ray absorption spectroscopy, but it's something completely different from the magic angle in EELS.)</div><div><br><div><br></div><div>I highly recommend the Hebert paper (2006).  The Sun and Yuan paper is also good but (my memory may be wrong on this) it may contain a mistake in some of the algebra, whereas the Hebert paper is definitely relativistically correct.</div><div><br></div><div>Cheers</div><div><br></div><div>Kevin</div><div><br></div></div></div><div class="gmail_extra"><br><div class="gmail_quote">On Wed, Dec 17, 2014 at 9:11 AM, Hajar Nejati <span dir="ltr"><<a href="mailto:hajar.nejatipoor@yahoo.com" target="_blank">hajar.nejatipoor@yahoo.com</a>></span> wrote:<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><div style="color:#000;background-color:#fff;font-family:times new roman,new york,times,serif;font-size:16px"><div><div><div style="color:#000;background-color:#fff;font-family:times new roman,new york,times,serif;font-size:16px"><div dir="ltr"><span>Dear Kevin</span></div><div dir="ltr"><span><br clear="none"></span></div><div dir="ltr"><span>Thank you for your reply</span></div><div dir="ltr"><span><br clear="none"></span></div><div dir="ltr"><span>For example, the energy loss of K- and L-edge of a Zn atom in ZnS are 9670 and 1043 eV, respectively.</span></div><div dir="ltr"><span>Can one expect the magic angle for K- and L-edge belonged to a Zn atom to be the same?</span></div><br clear="none">  <div style="font-family:times new roman,new york,times,serif;font-size:16px"> <div style="font-family:HelveticaNeue,Helvetica Neue,Helvetica,Arial,Lucida Grande,sans-serif;font-size:16px"> <div><br><br></div><div><div dir="ltr"> <hr size="1">  <font face="Arial"> <b><span style="font-weight:bold">From:</span></b> Kevin Jorissen <<a href="mailto:kevinjorissenpdx@gmail.com" target="_blank">kevinjorissenpdx@gmail.com</a>><span class=""><br clear="none"> <b><span style="font-weight:bold">To:</span></b> A Mailing list for WIEN2k users <<a href="mailto:wien@zeus.theochem.tuwien.ac.at" target="_blank">wien@zeus.theochem.tuwien.ac.at</a>> <br clear="none"> </span><b><span style="font-weight:bold">Sent:</span></b> Tuesday, December 16, 2014 3:54 AM<div><div class="h5"><br clear="none"> <b><span style="font-weight:bold">Subject:</span></b> Re: [Wien] Magic angle for different edges in a sample<br clear="none"> </div></div></font> </div><div><div class="h5"> <div><br clear="none"><div><div><div dir="ltr">It's a function of the energy loss.  If the L and K edge belong to different elements and are at approximately the same energy loss, then they will have approximately the same magic angle.<div><br clear="none"></div><div><br clear="none"></div></div><div><br clear="none"><div>On Tue, Dec 16, 2014 at 12:00 PM, Hajar Nejati <span dir="ltr"><<a rel="nofollow" shape="rect" href="mailto:hajar.nejatipoor@yahoo.com" target="_blank">hajar.nejatipoor@yahoo.com</a>></span> wrote:<blockquote style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div><br clear="none"><br clear="none"></div><div><div><div style="color:#000;background-color:#fff;font-family:times new roman,new york,times,serif;font-size:16px"><div dir="ltr"><span>Thank you dear Ciao</span></div><br clear="none">  <div style="font-family:times new roman,new york,times,serif;font-size:16px"> <div style="font-family:HelveticaNeue,Helvetica Neue,Helvetica,Arial,Lucida Grande,sans-serif;font-size:16px"> <div dir="ltr"> <hr size="1">  <font face="Arial"><span> <b><span style="font-weight:bold">From:</span></b> "Fecher, Gerhard" <<a rel="nofollow" shape="rect" href="mailto:fecher@uni-mainz.de" target="_blank">fecher@uni-mainz.de</a>><br clear="none"> <b><span style="font-weight:bold">To:</span></b> A Mailing list for WIEN2k users <<a rel="nofollow" shape="rect" href="mailto:wien@zeus.theochem.tuwien.ac.at" target="_blank">wien@zeus.theochem.tuwien.ac.at</a>> <br clear="none"> </span><b><span style="font-weight:bold">Sent:</span></b> Tuesday, December 16, 2014 1:34 AM</font><div><div><br clear="none"> <b><span style="font-weight:bold">Subject:</span></b> Re: [Wien] Magic angle for different edges in a sample<br clear="none"> </div></div> </div><div><div> <div><br clear="none">maybe you should read<br clear="none">Phys. Rev. B 71, 125109 (2005)<br clear="none">by Y. Sun and J. Yuan<br clear="none"><br clear="none">Ciao<br clear="none">Gerhard<br clear="none"><br clear="none">DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:<br clear="none">"I think the problem, to be quite honest with you,<br clear="none">is that you have never actually known what the question is."<br clear="none"><br clear="none">====================================<br clear="none">Dr. Gerhard H. Fecher<br clear="none">Institut of Inorganic and Analytical Chemistry<br clear="none">Johannes Gutenberg - University<br clear="none">55099 Mainz<br clear="none">and<br clear="none">Max Planck Institute for Chemical Physics of Solids<br clear="none">01187 Dresden<br clear="none">________________________________________<br clear="none">Von: <a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a> [<a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a>] im Auftrag von Hajar Nejati [<a rel="nofollow" shape="rect" href="mailto:hajar.nejatipoor@yahoo.com" target="_blank">hajar.nejatipoor@yahoo.com</a>]<br clear="none">Gesendet: Dienstag, 16. Dezember 2014 08:45<br clear="none">An: A Mailing list for WIEN2k users<br clear="none">Betreff: Re: [Wien] Magic angle for different edges in a sample<br clear="none"><br clear="none">dear Gerhard<br clear="none"><br clear="none">My mean of magic angle is a collection semi-angle in the ELNES spectrum that gives rise to the orientation-independent spectrum.<br clear="none"><br clear="none">________________________________<br clear="none">From: "Fecher, Gerhard" <<a rel="nofollow" shape="rect" href="mailto:fecher@uni-mainz.de" target="_blank">fecher@uni-mainz.de</a>><br clear="none">To: A Mailing list for WIEN2k users <<a rel="nofollow" shape="rect" href="mailto:wien@zeus.theochem.tuwien.ac.at" target="_blank">wien@zeus.theochem.tuwien.ac.at</a>><br clear="none">Sent: Monday, December 15, 2014 11:27 PM<br clear="none">Subject: Re: [Wien] Magic angle for different edges in a sample<br clear="none"><br clear="none">what do you mean with "magic angle" ?<br clear="none">Do you mean the angle where the second Legendre polynonial vanishes ?<br clear="none"><br clear="none">Ciao<br clear="none">Gerhard<br clear="none"><br clear="none">DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:<br clear="none">"I think the problem, to be quite honest with you,<br clear="none">is that you have never actually known what the question is."<br clear="none"><br clear="none">====================================<br clear="none">Dr. Gerhard H. Fecher<br clear="none">Institut of Inorganic and Analytical Chemistry<br clear="none">Johannes Gutenberg - University<br clear="none">55099 Mainz<br clear="none">and<br clear="none">Max Planck Institute for Chemical Physics of Solids<br clear="none">01187 Dresden<br clear="none">________________________________________<br clear="none"><br clear="none"><br clear="none"><br clear="none">Von: <a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a><mailto:<a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a>> [<a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a><mailto:<a rel="nofollow" shape="rect" href="mailto:wien-bounces@zeus.theochem.tuwien.ac.at" target="_blank">wien-bounces@zeus.theochem.tuwien.ac.at</a>>] im Auftrag von Hajar Nejati [<a rel="nofollow" shape="rect" href="mailto:hajar.nejatipoor@yahoo.com" target="_blank">hajar.nejatipoor@yahoo.com</a><mailto:<a rel="nofollow" shape="rect" href="mailto:hajar.nejatipoor@yahoo.com" target="_blank">hajar.nejatipoor@yahoo.com</a>>]<br clear="none">Gesendet: Dienstag, 16. Dezember 2014 08:10<br clear="none">An: A. Mailing List for WIEN2k Users<br clear="none">Betreff: [Wien] Magic angle for different edges in a sample<br clear="none"><br clear="none">Hi dear wien2k developers<br clear="none"><br clear="none">I have a question about the magic angle:<br clear="none"><br clear="none">Are the magic angles for K-edge and L-edge equal together or are different, in a sample?<br clear="none"><br clear="none"><br clear="none">_______________________________________________<br clear="none">Wien mailing list<br clear="none"><a rel="nofollow" shape="rect" href="mailto:Wien@zeus.theochem.tuwien.ac.at" target="_blank">Wien@zeus.theochem.tuwien.ac.at</a><mailto:<a rel="nofollow" shape="rect" href="mailto:Wien@zeus.theochem.tuwien.ac.at" target="_blank">Wien@zeus.theochem.tuwien.ac.at</a>><br clear="none"><a rel="nofollow" shape="rect" href="http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien" target="_blank">http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien</a><br clear="none">SEARCH the MAILING-LIST at:  <a rel="nofollow" shape="rect" href="http://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/index.html" target="_blank">http://www.mail-archive.com/wien@zeus.theochem.tuwien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