Asymptotic analysis equilibrium approach

Even for potential energy the other approach [93] required one parameter additional to oiu-s, apart from Dq, the latter quantity, equilibrium binding energy, is stated to be based on thermochemical data, but the cited source [95] indicates a value of dissociation energy 29q <2.84eV to arise from spectral analysis. Such an upper limit must be understood to provide an asymptotic limit for V(i ) at large i in a formula of Morse type because an attempted evaluation of 29e from only infrared spectral data is unreliable. The stated reason for the choice... 

HPTS fluorescence has been employed in the study of proton diffusion within inverted micelles [24], in liposomes [4a], in apomyoglobin and the inter-membranal hydration layers of multi-lamellar vesicles [4b]. The simplest case for analysis involves the HPTS molecule in the center of a sphere (inverted micelle, liposome) whose walls are impermeable to protons on the timescale of the experiment. This outer wall is therefore described by an additional reflective boundary condition. Inside such a sphere, even a single proton/anion pair ultimately reaches an equilibrium situation The long-time tail approaches a plateau, rather than decaying to zero. The smaller the radius of the sphere, the higher the expected asymptotic plateau. 

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