The phrase "a function of the surface" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or engineering, where one variable is dependent on the characteristics of a surface.
Example: "The pressure exerted by the fluid is a function of the surface area in contact with it."
Alternatives: "dependent on the surface" or "related to the surface".
Wesnousky (2008) examined the average and maximum values of the coseismic slip as a function of the surface rupture length.
(a) stress distribution, (b) signal-to-noise ratio, and (c) Q-factor as a function of the surface roughness.
It is also described as a function of the surface area in contact with the microorganisms [46].
The antimicrobial activity is known to be a function of the surface area in contact with the microorganisms.
In addition, the freezing delay time was measured as a function of the surface topography and morphology.
Dewetting of the PMMA film was characterized as a function of the surface energy of the SAMs.
By measuring the density of surface bound and solution bacteria it was determined that under our experimental conditions the amount of pyrite oxidation is more a function of the surface-colonized bacteria concentration than the solution bacterial fraction.
Various aspects of the results are shown in Figs. 4, 5, 6 and 7. Figure 4 plots the participants' perceived surface shapes as a function of the actual surface shapes.
The work functions of the samples were measured as a function of the aniline surface coverage to identify the major product of the surface reaction.
Second, the Raman scattering spectra of the nanostructures was a function of the localized surface plasmon resonance, and the interaction between the localized surface plasmon (LSP) and the Raman scattering light further enhanced the local electromagnetic fields.
Bacterial concentration values plotted as a function of the polar surface energy component.
