Journal of Chemical and Engineering Data, Vol.54, No.4, 1236-1243, 2009
Determination of Adsorption Isotherms of Hydrogen on Titanium in Sulfuric Acid Solution Using the Phase-Shift Method and Correlation Constants
The phase-shift method and correlation constants, i.e., the unique electrochemical impedance spectroscopy (EIS) techniques for studying the linear relationship between the behavior (-phi vs E) of the phase shift (90 degrees >= -phi >= 0 degrees) for the optimum intermediate frequency and that (theta vs E) of the fractional surface coverage (0 <= theta <= 1), have been proposed and verified to determine the Langmuir, Frumkin, and Temkin adsorption isotherms of H and related electrode kinetic and thermodynamic parameters on noble metals (alloys) in aqueous solutions. On Ti in 0.5 M H2SO4 aqueous solution, the Frumkin and Temkin adsorption isotherms (theta vs E), equilibrium constants (K = 8.3 center dot 10(-12) exp(-6.6 theta) mol(-1) for the Frumkin, and K = 8.3 center dot 10(-11) exp(-11.2 theta) mol(-1) for the Temkin adsorption isotherm), interaction parameters (g = 6.6 for the Frumkin and g = 11.2 for the Temkin adsorption isotherm), rates of change of the standard free energy (r = 16.4 kJ center dot mol(-1) for g = 6.6 and r = 27.8 kJ center dot mol(-1) for g = 11.2) of H with theta, and standard free energies [(63.2 <= Delta G(theta)(0) <= 79.6) kJ center dot mol(-1) for K = 8.3 center dot 10(-12) exp(-6.6 theta) mol(-1) and 0 <= theta <= 1 and (63.1 < Delta G(theta)(0) < 79.6) kJ center dot mol(-1) for K = 8.3 center dot 10(-11) exp(-11.2 theta) mol(-1) and 0.2 < 0 < 0.8] of H are determined using the phase-shift method and correlation constants. At 0.2 < 0 < 0.8, the Temkin adsorption isotherm correlating with the Frumkin adsorption isotherm, and vice versa, is readily determined using the correlation constants. The two different adsorption isotherms appear to fit the same data regardless of their adsorption conditions. The phase-shift method and correlation constants are probably the most accurate, useful, and effective ways to determine the adsorption isotherms of H and related electrode kinetic and thermodynamic parameters on highly corrosion-resistant metals in aqueous solutions.