Adsorption isotherm predicted from a lattice gas with general lateral interactions in a single-phase regime

Abstract

We investigate which isotherm equation arises when a lattice gas with rather general lateral interactions is used to model an adsorption of particles on a solid surface at subcritical temperatures. For simplicity, an energetically homogeneous surface is considered, and only a single phase is assumed to be stable in the system. We show that, up to a constant, the result is a sum of terms that have the same form as the Hill isotherm or, less accurately, as the Freundlich isotherm. Each of these terms contains three types of microscopic parameters whose relation to the details of the considered lattice gas, such as its lateral interactions, is provided. We also provide a formula for the heat of adsorption and discuss the phenomenon of adsorption compression. We illustrate the results for a simple lattice gas on a triangular lattice with pair and triple interactions. Possible extensions to inhomogeneous surfaces, multi-component adsorption, and phase coexistence regions are pointed out.

Fabrication and Photocatalytic Activity of Cu2O Nanobelts on Nanoporous Cu Substrate

“…In addition, the diffusion and rearrangement of Cu adatoms are regarded to be the prominent steps for the formation of the ligament of NP Cu. These steps evoke mainly at the interfacial regions, and the surface diffusion controlled processes exhibit a strong dependency on temperature [35]. Therefore, in the research, the rough nanoporous structures are formed at higher temperatures since the diffusion and rearrangement of Cu adatoms proceed in a relative large scale length due to long-range jump of Cu adatoms, i.e., large nanopores and wider ligaments are obtained at high temperatures.…”