Ion–surface interactions can alter the properties
of nanopores
and dictate nanofluidic transport in engineered and biological systems
central to the water–energy nexus. The ion adsorption process,
known as “charge regulation”, is ion-specific and is
dependent on the extent of confinement when the electric double layers
(EDLs) between two charged surfaces overlap. A fundamental understanding
of the mechanisms behind charge regulation remains lacking. Herein,
we study the thermodynamics of charge regulation reactions in 20 nm
SiO2 channels via conductance measurements at various concentrations
and temperatures. The effective activation energies (E
a) for ion conductance at low concentrations (strong EDL
overlap) are ∼2-fold higher than at high concentrations (no
EDL overlap) for the electrolytes studied here: LiCl, NaCl, KCl, and
CsCl. We find that E
a values measured
at high concentrations result from the temperature dependence of viscosity
and its influence on ion mobility, whereas E
a values measured at low concentrations result from the combined
effects of ion mobility and the enthalpy of cation adsorption to the
charged surface. Notably, the E
a for surface
reactions increases from 7.03 kJ mol–1 for NaCl
to 16.72 ± 0.48 kJ mol–1 for KCl, corresponding
to a difference in surface charge of −8.2 to −0.8 mC
m–2, respectively. We construct a charge regulation
model to rationalize the cation-specific charge regulation behavior
based on an adsorption equilibrium. Our findings show that temperature-
and concentration-dependent conductance measurements can help indirectly
probe the ion–surface interactions that govern transport and
colloidal interactions at the nanoscalerepresenting a critical
step forward in our understanding of charge regulation and adsorption
phenomena under nanoconfinement.