“…From these values, scattering length densities of 8.177 × 10 –5 Å –2 for Hg/0.1 M NaB 4 O 7 and 5.364 × 10 –5 Å –2 for Hg 0.3 In 0.7 /0.1 M NaB 4 O 7 are calculated, resulting in q c values of 0.064 and 0.052 Å –1 , respectively. R / R F at each q z is a function of the laterally averaged electron density, ⟨ρ e ( z )⟩, profile along the surface-normal according to the master equation. , R / R F values were fitted by a modification of the distorted crystal model, , which was previously employed for the interface between liquid Hg and NaF solution. , This first-layer model treats ⟨ρ e ( z )⟩ of the liquid electrolyte/liquid metal junction (normalized by the bulk metal density) as a function of three independent terms, with the first describing the electrolyte, the second representing an explicit atomic layer at the interface, and the third summation term representing the decaying atomic layering in the near-surface region of the liquid metal Here, z H 2 O and σ H 2 O describe the position and width of the electrolyte front; ρ f and σ f are the amplitude and root-mean-square displacement of the first layer, respectively; d is the atomic layer spacing after the second metal layer; z f is the position of the first layer; “ d – z f ” is the distance between the first and second liquid metal layers; and σ n is the root-mean displacement of the n th layer, which increases with z toward the liquid metal bulk and is given by , where σ i is the intrinsic width common to all subsurface layers and σ b describes the rate at which σ n increases. , …”