Application of the Lippmann electrocapillary equation to adsorption potential shift at the air/solution interface – Analysis for undissociated n-decanoic acid

The equilibrium surface pressure (Πe) and electric surface potential (Δχe) vs. concentration (c) isotherms of n-decanoic acid (DA) in 5 × 10−3 mol/dm3 HCl were concurrently measured at the air/solution interface – the Π with a platinum Wilhelmy plate, the Δχ with the vibrating plate method (named also the dynamic condenser). The Πe–Δχe dependence was used by us for calculating the surface charge’ density basing on the Lippmann first electrocapillary equation. It was applied under the assumption that: (i) the surface charge is solely formed by orientation of the adsorbate, and (ii) the changing DA bulk concentration does not deprive the Πe–Δχe dependence of consistency with the Lippmann equations. The charge (Qe) expressed per the adsorbate molecule (basing on the Γ–c dependence predicted by the best fit of Frumkin model to the experimental Πe–c results) increases with the adsorption coverage (Θ) within a fraction of electron per the adsorbate molecule – the reasonable result for a non ionic surfactant. The Qe vs. Θ course shows a great analogy to that of quotient of the effective dipole moment to the interface’s permittivity, μ ⊥ ε s vs . Θ , derived from the Δχe–Γ dependence. The two dependencies: Q e vs . Θ and μ ⊥ ε s vs . Θ , show a plateau within the coverage range of 20 < Θ < 80% and a steep increase above it. Recalculation of the Q e vs . Θ dependence for the equivalent dipole moment, under the assumption that the dipole length is comparable to length of a polar bond of the head group (ca. 1.2 Å) implies the bond’s inclination to the interface of 12°. Such low inclination is reasonable in view of an angular deviation of molecular dipole moment from amphiphile molecule’ long axis.