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Berger 5 line emission profile
rowlesmr #1
Member since Oct 2011 · 159 posts
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Subject: Berger 5 line emission profile
I was reading the Berger paper (X-RAY SPECTROMETRY, VOL. 15, 241-243 (1986)) about the Cu ka emission spectrum, and I can only find 4 lines given in the paper, yet there are 5 in the corresponding Topas emission spectrum.

Where did this 5th satellite line come from?
lgermann #2
Member since Nov 2015 · 12 posts · Location: MPI FKF Stuttgart
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Hi Matthew,

I think the name of this .lam file is a bit misleading; to my understanding the 5 wavelengths are a combination of Kα1α2 determined by Höltzer et al. [1] and satellite reflections described by Cheary & Coelho [2]

The origin of the satellite peaks is nicely described in the "Fundamental Parameters Line Profile Fitting in
Laboratory Diffractometers" paper by Cheary[3]

Another feature of Kα emission lines which needs to
be included in an accurate line profile fitting model is
the satellite multiplet structure in the high energy tail as
shown in Fig. 27. As a group these have an intensity of
≈0.6 % of the Kα1 emission line in the case of Cu rising
uniformly with decreasing atomic number up to
≈1.4 % for Cr [35]. Satellites lines are also evident in
Kβ1β3 spectra and appear on both the low energy and
high energy tails as the Kβ' and Kβ" lines [36]. The
Kα3α4 non-diagram lines arise from the transition
1s2p → 2p2 in which the actual vacancy transition is
1s → 2p, but in the presence of a 2p spectator hole

[1] G. Höltzer, M. Fritsch, M. Deutsch, J. Härtwig, and E. Förster,
Phys. Rev. A 56, 4554 (1997).
[2] R.W. Cheary and A. A. Coelho, J. Appl. Cryst. 25, 109 (1992).
[3] R.W. Cheary and A. A. Coelho, J. Res. Natl. Inst. Stand. Technol. 109, 1-25 (2004)
[35] L. G. Parratt, Phys. Rev. 50, 1 (1936).
[36] R. E. LaVilla, Phys. Rev. A 19, 717 (1979).
[37] N. Maskil and M. Deutsche, Phys. Rev. A 38, 3467 (1988).
[38] M. Fritsch, C. C. Kao, K. Hämäläinen, O. Gong, E. Forster, and
M. Deutsch, Phys. Rev. A 57, 1686 (1998).

Hope that helps?
rowlesmr #3
Member since Oct 2011 · 159 posts
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Ta for that.

The Berger5 emission profile mostly seems to match up with [2] and [3],  is different to the Berger paper (probably due to the scaling applied), and I haven't checker Holzer, as his are in keV, not Å.
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