[Wien] Magic angle for different edges in a sample

[Kevin Jorissen]

Hi Hajar,

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.)


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.

Cheers

Kevin


On Wed, Dec 17, 2014 at 9:11 AM, Hajar Nejati <hajar.nejatipoor at yahoo.com>
wrote:
>
> Dear Kevin
>
> Thank you for your reply
>
> For example, the energy loss of K- and L-edge of a Zn atom in ZnS are 9670
> and 1043 eV, respectively.
> Can one expect the magic angle for K- and L-edge belonged to a Zn atom to
> be the same?
>
>
>
> ------------------------------
>  *From:* Kevin Jorissen <kevinjorissenpdx at gmail.com>
> *To:* A Mailing list for WIEN2k users <wien at zeus.theochem.tuwien.ac.at>
> *Sent:* Tuesday, December 16, 2014 3:54 AM
>
> *Subject:* Re: [Wien] Magic angle for different edges in a sample
>
> 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.
>
>
>
> On Tue, Dec 16, 2014 at 12:00 PM, Hajar Nejati <hajar.nejatipoor at yahoo.com
> > wrote:
>
>
>
> Thank you dear Ciao
>
>   ------------------------------
>  *From:* "Fecher, Gerhard" <fecher at uni-mainz.de>
> *To:* A Mailing list for WIEN2k users <wien at zeus.theochem.tuwien.ac.at>
> *Sent:* Tuesday, December 16, 2014 1:34 AM
>
> *Subject:* Re: [Wien] Magic angle for different edges in a sample
>
> maybe you should read
> Phys. Rev. B 71, 125109 (2005)
> by Y. Sun and J. Yuan
>
> Ciao
> Gerhard
>
> DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:
> "I think the problem, to be quite honest with you,
> is that you have never actually known what the question is."
>
> ====================================
> Dr. Gerhard H. Fecher
> Institut of Inorganic and Analytical Chemistry
> Johannes Gutenberg - University
> 55099 Mainz
> and
> Max Planck Institute for Chemical Physics of Solids
> 01187 Dresden
> ________________________________________
> Von: wien-bounces at zeus.theochem.tuwien.ac.at [
> wien-bounces at zeus.theochem.tuwien.ac.at] im Auftrag von Hajar Nejati [
> hajar.nejatipoor at yahoo.com]
> Gesendet: Dienstag, 16. Dezember 2014 08:45
> An: A Mailing list for WIEN2k users
> Betreff: Re: [Wien] Magic angle for different edges in a sample
>
> dear Gerhard
>
> My mean of magic angle is a collection semi-angle in the ELNES spectrum
> that gives rise to the orientation-independent spectrum.
>
> ________________________________
> From: "Fecher, Gerhard" <fecher at uni-mainz.de>
> To: A Mailing list for WIEN2k users <wien at zeus.theochem.tuwien.ac.at>
> Sent: Monday, December 15, 2014 11:27 PM
> Subject: Re: [Wien] Magic angle for different edges in a sample
>
> what do you mean with "magic angle" ?
> Do you mean the angle where the second Legendre polynonial vanishes ?
>
> Ciao
> Gerhard
>
> DEEP THOUGHT in D. Adams; Hitchhikers Guide to the Galaxy:
> "I think the problem, to be quite honest with you,
> is that you have never actually known what the question is."
>
> ====================================
> Dr. Gerhard H. Fecher
> Institut of Inorganic and Analytical Chemistry
> Johannes Gutenberg - University
> 55099 Mainz
> and
> Max Planck Institute for Chemical Physics of Solids
> 01187 Dresden
> ________________________________________
>
>
>
> Von: wien-bounces at zeus.theochem.tuwien.ac.at<mailto:
> wien-bounces at zeus.theochem.tuwien.ac.at> [
> wien-bounces at zeus.theochem.tuwien.ac.at<mailto:
> wien-bounces at zeus.theochem.tuwien.ac.at>] im Auftrag von Hajar Nejati [
> hajar.nejatipoor at yahoo.com<mailto:hajar.nejatipoor at yahoo.com>]
> Gesendet: Dienstag, 16. Dezember 2014 08:10
> An: A. Mailing List for WIEN2k Users
> Betreff: [Wien] Magic angle for different edges in a sample
>
> Hi dear wien2k developers
>
> I have a question about the magic angle:
>
> Are the magic angles for K-edge and L-edge equal together or are
> different, in a sample?
>
>
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