Avantage Backgrounds – Tougaard

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Avantage Backgrounds – Tougaard

2 min read

Quick Overview #

Tougaard Background #

  • How it works: Models background due to inelastic scattering over a wider energy range using theoretical cross-sections.

  • When to use:

    • Surfaces with significant inelastic loss structures (e.g., metals, oxides)

    • When analyzing valence band or REELS-like features

  • Pros: Physically realistic, accurate for quantitative work

  • Cons: Slower, complex, depends on material parameters

Basics of Tougaard Application #

Avantage Peak Add
Avantage Peak Add

Much like with the general background application, we use the peak window button to start applying Tougaard backgrounds.

 

In the Tougaard tab, we can start applying a Tougaard background to our data.

Avantage Tougaard
Avantage Tougaard

Tougaard Parameters #

Using the mode ‘Custom B,C’, or ‘Custom B, C, D’ you can modify the Tougaard form:

 

U, W, and A — empirical constants in the Tougaard formula:

Tougaard Equation
Tougaard Equation

where E is energy, and E0 is the peak energy.

These control the shape of the background tail:

  • U: controls broadness (default ~100) (C parameter)

  • W: weight of the long tail (B parameter)

  • A: amplitude scaling (A parameter)

Preset Tougaard Background Types #

Avantage contains multiple preset groups of parameters that have been derived for a number of materials. Using the mode dropdown, you can select these before inserting a background.

Using the custom modes you can design backgrounds for any material – but you must know how to derive these parameters! See our Tougaard page for more information.

Avantage Tougaard Presets
Avantage Tougaard Presets

Example: Aluminium with thin oxide layer #

The Tougaard background simulated loss processes – including plasmon peaks. In the example below we show an Al type background applied to an Al foil with a thin oxide overlayer. Since this is not pure Al, our background does not match perfectly, and we must apply a slight Y-offset to get us close to the data. Nevertheless, we can see the simulated plasmon peaks in the background.

Application of Tougaard to Al in Avantage
Application of Tougaard to Al in Avantage

References #