3D Surface Roughness and Wear Measurement, Analysis and Inspection

Parameters Primer: Rpc, or Stylus (X,Y) Pc

Rpc is the Peak Density in the X or Y direction of surface texture data. It is a measure of the number of peaks per unit length (i.e., peaks/mm) in the X or Y directions, respectively. In the ISO standards, the parameter is referred to as Rpc X or Rpc Y; however, in some software it is referred to as Stylus X Pc, or Stylus Y Pc.

A “peak” is defined as occurring each time the roughness profile crosses a lower threshold then an upper threshold, consecutively. The thresholds are intended to limit the peak count to “substantial peaks” in order to reduce the effect of noisy pixels and produce more stable parameters.

Rpc, or Stylus (X,Y) Pc surface roughness parameter measures the number of peaks per unit length of surface texture.

Some specifications require particular threshold values, though typically the thresholds can be set to the values that make sense for the application. One common option is to set the thresholds at the mean height ±Ra (average roughness), as shown below.

Rpc, or Stylus (X,Y) Pc surface roughness parameter measures the number of peaks per unit length of surface texture.

In some cases, combining Rz with RPc data will yield additional information about the spacing and depth of dominant surface features that may affect the function of a component.

Rpc parameters may be useful to optimize the surface texture when the surface will be coated, or when fluid leakage/retention are of issue. Some applications are:

Sealing

Where fluid flows through seals, a higher peak density means narrower spacing between peaks, which can lead to a better seal. A surface with a high peak density perpendicular to the direction of flow, therefore, may provide a better seal.

Wettability

Rpc can relate to lubricant and fluid wettability. A higher peak density will provide greater surface area, and therefore better wetting.

Paint Appearance

Rpc relates to the appearance of paint finishes, particularly in the automotive industry. To characterize paint appearance, we first filter the texture into spatial wavelength bands. We can then look at the peak counts within those bands. Peaks tend to scatter light; a greater number of peaks in each particular will affect the appearance differently. A high peak count at smaller spatial wavelengths, for example, may lead to a hazy appearance, while a higher peak count at longer wavelengths may be indicative of a wavy finish exhibiting “orange peel.”

The examples below show two painted surfaces that met an overall Ra (average roughness) spec but appeared very different. The Ra values are very similar; however, the Rpc values in the 25 µm–2.5 mm wavelength band proved to be very different and showed why the two surfaces varied in appearance. Both surfaces are shown in OmniSurf3D software (Digital Metrology).

Rpc, or Stylus (X,Y) Pc surface roughness parameter measures the number of peaks per unit length of surface texture.
Rpc, or Stylus (X,Y) Pc surface roughness parameter measures the number of peaks per unit length of surface texture.

Learn more about parameters such as Rpc in the free Surface Texture Parameters Glossary. You can also learn more online in the Parameters module of our Surface Roughness, Texture and Tribology short course on udemy.com.