As a natural continuation of RB1010524, we propose to perform NCS measurements on CsHSO4 around the super protonic phase transition at 414 K. Our methodology to compute atomic momentum distributions from first-principles, recently tested on simple hydrides and the adsorption of molecular hydrogen in nanoporous hosts, will be used to contrast the NCS data with ab initio results using CASTEP. Use of a generalized non-Gaussian model to analyse NCS data will provide fresh insights into the anharmonic and anisotropic character of the effective local Born-Oppenheimer potential around the proton in CsHSO4. This experiment will also serve to assess the general applicability of NCS in the study of protonic conductors at operating temperatures.