First derivative, extrapolation, and deconvolution of the complex conductivity data for the identification of the optimum entanglement concentration of polysaccharides in aqueous solutions

In the present work, further analysis of complex conductivity was carried out. In particular, the first derivative of the ac conductivity of polysaccharide solutions provides a good differentiation of the different contributions of the conductivity. Moreover, this procedure allowed us to prove and confirm the validity of the equivalent circuit. In addition, a new electrical circuit was proposed to fit the complex conductivity. The main aim is focused on the analysis of the change in the electrical properties involved in the Cole-Cole relaxation process at medium and high frequencies, which in turn allowed us to extract crucial parameters such as ionic strength, dc conductivity, and relaxation time. It is found that their evolutions as a function of concentration revealed a clear transition at 5% (w/v), suggesting the transition from the dilute to the semi-dilute domain due to the cross-linking between polyvalent counterions and chains molecular.