Our results can also be contrasted with the previous analytic theories of solid-liquid interface thermodynamics. For example, Berry's simple breaking-bonds model assumes that the work of adhesion and contact angle are proportional to the product of the liquid binding energy and the liquid interfacial density. While this model satisfactorily predicts the internal energy contributions, it cannot model the entropic effects and free energy, and is therefore not applicable for predicting metal-water interfacial thermodynamics. The more refined models show that the interfacial thermodynamics are not dictated only by the interfacial density and the interaction strength, but also depend on the one-and two-body correlation functions as well as on the delicate balance between liquidliquid and solid-liquid interaction strengths. While the resulting integral-differential equations of the correlation functions are too complex to be solved for water, these models highlight that solid-liquid thermodynamics are not determined by the adsorption energy alone, but depend on the liquid structure, the interaction strengths or internal energies, and the entropy as we have also highlighted herein.