“…The SFG spectrum of χ (3) is similar to that of bulk water, which is consistent with the diffuse layer exhibiting bulk-like hydrogen bonding with a small amount of net alignment due to the presence of the static electric field E 0 . This integral of the static electric field with respect to distance from the surface ( z ) is equal to the interfacial potential, Φ( z ), and as such, many forms of the χ (3) method utilize Φ 0 , the potential at the zero-plane, which is normally positioned at the silica surface. Yet, recent work has shown the z -dependence of the sum-frequency light generated within the probe volume must also be considered. ,, Specifically, at low salt concentrations when the Debye length is substantial and the extent of water alignment approaches the coherence length of the incident light fields, significant destructive interference can arise between SF light generated at the surface and further into the bulk (a comparison of the Debye length as a function of salt concentration and the wavelength-dependent coherence length is provided in Figure S4).…”