1) Uniform surface contamination (e.g. adventitious carbon layer) is not important.

2) Unknown instrumental factors common to substrate and oxide cancel out.

3) Uses a simple equation.

4) Works well for large and small film thickness.

Some rules:

1) Emission angle must be between 0 and 60 degrees (ie. Take-off angle of 90 to 30 degrees). Emission angles around 45 degrees are the most accurate.

2) Applicable to a wide range of Kinetic Energies above ~500 eV.

3) Error in result is +/-10% based on accuracy of attenuation lengths obtained by calculations.

Values Needed: o = Overlayer, s= Substrate

Io = Intensity of Overlayer Peak (or Peak Area)

Is = Intensity of Substrate Peak (or Peak Area)

So = R.S.F. of Overlayer Peak

Ss = R.S.F. of Substrate

Eo = K.E. of Overlayer Peak

Es = K.E. of Substrate Peak

Theta = emission angle, (0 for 90 degree take-off)

Cos(Theta) (=1 for 90 degree take-off)

Lambda o = attenuation length of photoelectrons (from the overlayer) in the overlayer.

How to Use It: A printable version of the Thickogram (Figure 1) can be downloaded here. An Excel spreadsheet that is useful for multiple calculations is presented here.

**(Note: you must download the file to Excel to use it - it is locked in Google Docs).**

1) Calculate A = Io/So / Is/So, add point on Thickogram

2) Calculate B = Eo/Es, add point on Thickogram

3) Draw a line from A to B. Point C is found on the curve.

4) Thickness (t) is calculated as t = C(Lambda o)cos(Theta)

Figure 1. The Thickogram showing points A, B and C.

If you wish to use this method I would highly recommend reading through the original paper first [1].

Reference:

[1] Peter J. Cumpson,

*Surf. Interface Anal*.

**29**, 403-406 (2000).