hydrophilic surfaces. The detailed theory and mathematical treatments for 2D-COS have been previously explained In this study, the cross correlation analysis was performed on the concentration-dependent FTIR spectral sets (i.e., dynamic spectra; Figures and) of retained PS at each surface at specific time points in the adsorption-desorption process. These time points are referred to as: early adsorption stage: t1,ads = 2 min, equilibrium adsorption stage: te,ads = 56 and 163 min, and equilibrium desorption stage: te,des = 98 and 236 min, for diamond and goethite, respectively. To generate concentration-dependent 2D correlation spectra, the original spectra were subjected to subtraction of the spectra of background electrolyte solution and of the surface, atmospheric compensation, smoothing, baseline correction and vector-normalization over the concentration. Noda's rules were applied to interpret and illustrate molecular interactions and self-assembly sequential changes of the PS structure at the surface of the diamond crystal and goethite mineral with increasing surface loading at the three stages of reaction outlined above.