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X-Ray Fluorescence Analytical Techniques - CNSTN : Centre ...

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Ge<br />

InSb<br />

PET<br />

AdP<br />

TIAP<br />

OVO-55<br />

OVO-N<br />

OVO-C<br />

OVO-B<br />

Germanium<br />

Indiumantimonide<br />

Pentaerythite<br />

Ammoniumdihydrogenphosphate<br />

Thalliumhydrogenphthalate<br />

Multilayer [W/Si]<br />

Multilayer [Ni/BN]<br />

Multilayer [V/C]<br />

Multilayer [Mo/B4C]<br />

II.3.4 Dispersion, Line Separation<br />

P, S, Cl<br />

Si<br />

Al – Ti<br />

Mg<br />

F, Na<br />

O – Si (C)<br />

N<br />

C<br />

B (Be)<br />

0.653<br />

0.7481<br />

0.874<br />

1.0648<br />

2.5760<br />

5.5<br />

11<br />

12<br />

20<br />

The extent of the change in angle ∆θ upon changing the wavelength by the amount ∆λ<br />

(thus: ∆θ/∆λ) is called “dispersion”. The greater the dispersion, the better is the separation of<br />

two adjacent or overlapping peaks. Resolution is determined by the dispersion as well as by<br />

surface quality and the purity of the crystal.<br />

Mathematically, the dispersion can be obtained from the differentiation of the Bragg<br />

equation:<br />

∆θ n<br />

=<br />

∆λ 2dcosθ . (IV.4)<br />

It can be seen from this equation that the dispersion (or peak separation) increases as the<br />

lattice plane distance ‘d’ declines.<br />

II.3.5 Synthetic Multilayers<br />

Multilayers are not natural crystals but artificially produced ‘layer analyzers’. The<br />

lattice plane distances ‘d’ are produced by applying thin layers of two materials in alternation<br />

on to a substrate (Figure IV.9). Multilayers are characterized by high reflectivity and a<br />

somewhat reduced resolution. For the analysis of light elements the multilayer technique<br />

presents an almost revolutionary improvement for numerous applications in comparison to<br />

natural crystals with large lattice plane distances (e.g. RbAp, PbST, KAP).<br />

Figure IV.9: Diffraction in the layers (here: Si/W) of a multilayer.

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