The large dielectric dispersion of colloids in the low-frequency range, related to polarization of the particle surface electric layer (the alpha-relaxation), has been a subject of scientific interest for decades. In recent papers we advanced the idea that the process of particle surface polarization is partially detected by a second low-frequency relaxation displayed in the frequency domain of particle rotation. The aim of the present paper is to argument this view more consistently. The second low-frequency relaxation is as universal as alpha-relaxation and closely related to it. It is more sensitive to variations in particle electrophoretic mobility than the alpha-relaxation. The paper discusses several aspects concerning the phenomenon: the reasons for its difficult identification as a universal effect; the procedures helping its analysis; and the basic features and the origin of the phenomenon. (c) 2008 Elsevier Inc. All rights reserved.