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Stress measurement

The stress in a thin film can be quantified with a profilometer by measuring the wafer bow before and after deposition of the film. If the thin film is deposited on both sides of the wafer, you can measure the bow after deposition and again after removing the film from one of the sides.

If your thin film is crystalline, you can also measure stress using XRD.

Types of stress

A thin film can exhibit either compressive or tensile stress as illustrated by Figure 1: upright=2|alt=A rectangle illustrates a substrate without stress. A downward curving section of a sphere with a red band on top illustrates a substrate with compressive stress due to a thinfilm. An upward curving section of a sphere with a green band on top illustrates a substrate with tensile stress.|right|thumb|Figure 1: Compressive and tensile stress (figure by Berit Herstrøm).

Stress measurement using a profilometer

Using a profilometer, the procedure is as follows:

When a thin film is deposited on one side of the wafer

Measure the thickness of the wafer
Make a pre-stress measurement. Measure the wafer bow on one of the stylus profilometers in the cleanroom (Dektak XTA_new or P17 Stylus profiler). Save the measurement. It is a good idea to measure across most of the wafer (at least along 70% of the wafer diameter) in two directions perpendicular to each other. Using the P17 profiler you can also measure a radially resolved map of the wafer stress with up to 5° resolution.
Deposit the thin film
Measure the thickness of the thin film (ex. using the FilmTek or the Ellipsometer).
Make a post-stress measurement: Measure the wafer bow again:
- On the same profilometer as used for the pre-measurement.
- With the same recipe as used for the pre-mesurement.
- On the same position(s) on the wafer as the pre-measurement.
Use the program for stress measurement in the profilometer software. Use both the pre-stress measurement and the post-stress measurement.
- The profiler program asks for a substrate elasticity (choose the substrate type, e.g. Si(100)), substrate thickness, film thickness and the name of the pre-stress measurement.

When a thin film is deposited on both sides of the wafer

Measure the thickness of the wafer
Deposit the thin film
Make a pre-stress measurement. Measure the wafer bow on one of the profilometers (Dektak XTA_new or P17 Stylus profiler). Save the measurement. It is a good idea to measure across most of the wafer (at least along 70% of the wafer length) in two directions perpendicular to each other. Using the P17 profiler you can also measure a radially resolved map of the wafer stress with up to 5° resolution.
Remove the thin film from one side of the wafer. If it is a single side polished wafer, then remove it on the non-polished side.
Make a post-stress measurement. Measure the wafer bow again:
- On the same profilometer as used for the pre-measurement.
- With the same recipe as used for the pre-mesurement.
- On the same position(s) on the wafer as the pre-measurement.
Measure the thickness of the thin film (ex. using the FilmTek or the Ellipsometer).
Use the program for stress measurement in the profilometer software. Use both the pre-stress measurement and the post-stress measurement.
- The profiler program asks for substrate elasticity (choose the substrate type, e.g. Si(100)), substrate thickness, film thickness and the name of the pre-stress measurement.

Stress measurement using XRD

After you make a θ-2θ scan of a crystalline thin film, the peak positions can be used to calculate the lattice constant of the film. By comparing the calculated lattice constant to the theoretical one, you can calculate the amount of compressive or tensile stress. It is important to align the thin film carefully to the beam height, as you can in the XRD Smartlab. You may use a standard measurement (e.g. of a crystalline Si sample) to be able to take into account the intrinsic peak broadening of the instrument. Use the Ni-filter to remove the K_β side peaks and if you have enough signal you can also use the monochromator and analyzer crystals to remove the K_α2 contribution.

Nanolab has the SmartLab Studio software and the Malvern Panalytical HighScore software available for quantifying the stress (ask staff for details). There is a good summary of the principles of the strain calculation in the associated help document for the SmartLab Studio software.

You may be able to measure the relaxed lattice directly rather than comparing to a theoretical lattice, but you would have to be able to release the film and measure it separately (if this means scraping the thin film off your sample mechanically, you could potentially measure it in the XRD Powder, but it would probably be difficult to get enough powder to get a good signal).