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<p style="margin: 0cm 0cm 10pt;"><span lang="FR" style="mso-ansi-language: FR;"><font face="Calibri">Dear Bhamu</font></span></p>
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<p style="margin: 0cm 0cm 10pt;"><font face="Calibri">It is useful if one bears in mind that the sp case might be similar to a two component plasma system. In the long wavelength limit the ordinary (optic) plasmon frequency for the spherical case (constant
energy surfaces are spheres) is given by w_pl= sqrt(w_p1^2 +w_2^2)</font></p>
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<p style="margin: 0cm 0cm 10pt;"><font face="Calibri">See:</font></p>
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<p style="margin: 0cm 0cm 10pt;"><font face="Calibri"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>P.M. Platzman and P.A. 1973, Waves and interactions in solid state plasmas; solid state Phys. Suppl., 13, pp. 1-304, (New
York: Academic)</font></p>
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<p style="margin: 0cm 0cm 10pt;"><font face="Calibri">B. Bennacer 1991 PhD thesis, University of East Anglia, Norwich, UK, p. 54.</font></p>
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All the best
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<div id="Signature">________________________<br>
Prof. B. Bennecer<br>
Physics Laboratory of Guelma<br>
Faculty of Mathematics and Computing and Material Sciences<br>
University 8 Mai 1945 Guelma<br>
PO Box 401<br>
Guelma 24000<br>
Algeria<br>
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<div id="x_divRplyFwdMsg" dir="ltr"><font color="#000000" face="Calibri, sans-serif" style="font-size: 11pt;"><b>From:</b> Wien <wien-bounces@zeus.theochem.tuwien.ac.at> on behalf of Fecher, Gerhard <fecher@uni-mainz.de><br>
<b>Sent:</b> Friday, October 27, 2017 6:44 AM<br>
<b>To:</b> A Mailing list for WIEN2k users<br>
<b>Subject:</b> Re: [Wien] why we need to divide plasma frequency by root(2)?</font>
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<div class="PlainText">The optics programm tells about the SP Plasma frequencies:
<br>
w_pl = sqrt( w_pl^2(up-spin) + w_pl^2(dn-spin) )<br>
<br>
where does this come from<br>
remember the classical approach where the plasma frequency is proportional to root(n) with n being the density of free electrons (number of electrons per Volume)<br>
now what do you have in the SP case ? Shouldn't that be root/n_up+n_dn) ?<br>
The programm however delivers w_up proportional to root(n_up) and w_dn prop to root(n_dn) and you see where the above equation is comming from<br>
<br>
Finally show what happens when the two densities are equal n_up=n_dn and you see where the root(2) is coming from and when to use it<br>
<br>
(Note that the root(2) is here not because of surface plasmons)<br>
<br>
Ciao<br>
Gerhard<br>
<br>
DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:<br>
"I think the problem, to be quite honest with you,<br>
is that you have never actually known what the question is."<br>
<br>
====================================<br>
Dr. Gerhard H. Fecher<br>
Institut of Inorganic and Analytical Chemistry<br>
Johannes Gutenberg - University<br>
55099 Mainz<br>
and<br>
Max Planck Institute for Chemical Physics of Solids<br>
01187 Dresden<br>
________________________________________<br>
Von: Wien [wien-bounces@zeus.theochem.tuwien.ac.at] im Auftrag von Gavin Abo [gsabo@crimson.ua.edu]<br>
Gesendet: Sonntag, 22. Oktober 2017 00:42<br>
An: wien@zeus.theochem.tuwien.ac.at<br>
Betreff: Re: [Wien] why we need to divide plasma frequency by root(2)?<br>
<br>
I could be wrong, but I think you just need to take the sqrt(2) of each plasma frequency:<br>
<br>
2.074/sqrt(2) 2.074/sqrt(2) 1.264/sqrt(2)<br>
<br>
then put them in case.inkram (not case.injoint).<br>
<br>
You should be able to use multiple plasma frequencies in case.inkram but don't forget to add a Gamma for drude value for each of the plasma frequencies [
<a id="LPlnk643631" href="https://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/msg14495.html" previewremoved="true">
https://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/msg14495.html</a> ].<br>
<br>
On 10/21/2017 4:29 PM, Dr. K. C. Bhamu wrote:<br>
<br>
---------------------case.injoint<br>
xx<br>
xx<br>
1 >> correction<br>
2.0740 2.0740 1.2640<br>
xx<br>
-----------------------------------<br>
<br>
were xx means no change in lines of case.inkram.<br>
<br>
<br>
<br>
At page numer 164 under section "8.11 KRAM (Kramers-Kronig transformation) in UG"<br>
<br>
<br>
"For a metal, the Plasma-frequencies (intraband transitions) for up and dn should be added, but then divided by–2, before using x kram."<br>
<br>
Does it mean that we need to add all three components and then divide by root(2) and put a single number [(2.074+2.074+1.264)/root(2)=3.88] instead of all three in case.injoint?<br>
<br>
<br>
kind regards<br>
<br>
Bhamu<br>
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