Peak Intensity in XPS

View Categories

Peak Intensity in XPS

3 min read

In XPS, electrons are emitted from a surface at energies specific to individual elements and chemical states.
But how do we know what intensity we should be getting from our sample?

The equation for peak intensity in XPS is given by:

 

I = n.σ.T.λ.A.e-d/λ

 

Where:

 

I = measured peak intensity (area under peak)

n = atomic concentration (number of emitting atoms)

σ = photoionisation cross section of orbital

T = instrument transmission function

λ = Inelastic mean free path (IMFP)

A = Illuminated sample area and collection solid angle

d = effective depth of analysis

In XPS fitting, we make use of relative sensitivity factors to quickly and easily calculate atomic percentages from peak intensities in our spectra.

Where:

At% = I / RSF

 

This allows us to perform quick and easy integrations and chemical composition measurements.

The component A in the aforementioned equation related to instrument specific geometric factors.

Geometric factors in X-ray photoelectron spectroscopy (XPS) refer to how the spatial arrangement and angles between the sample, X-ray source, and electron analyser influence the measured photoelectron intensity. These factors are crucial for both maximizing signal and ensuring accurate quantification.

Key geometric factors include:

  • Take-off angle: The angle between the sample surface and the path to the analyser. Changing this angle affects the escape depth of detected electrons and thus the surface sensitivity of the measurement. A smaller take-off angle increases surface sensitivity but reduces overall intensity.

  • X-ray incidence angle: The angle at which X-rays strike the sample can change the photoelectron yield; a grazing incidence can increase signal from the surface layers.

  • Analyzer solid angle and collection area: The sizes of the area from which electrons are collected and the acceptance angle of the analyser influence how much of the emitted photoelectron flux is detected.

  • Distance between sample, source, and detector: Shorter distances increase collection efficiency but may also introduce more geometric shading or non-uniformity effects.