Quest for hydrogen environments in hydrogen-bonded systems

We performed proton high-resolution nuclear magnetic resonance (NMR) measurements on KH2PO4 ferroelectrics. The 1H high-resolution NMR measurements were performed using the magic-angle spinning technique, which removes the proton-proton dipolar coupling and the chemical shift anisotropy in solid-state materials. High-resolution magic-angle spinning 1H NMR spectroscopy provides information on the chemical structure in the KH2PO4 system. From the measured chemical shift data, we determined the oxygen separation distance of the O-H···O hydrogen bond. The localized hydrogen position of the environments near heavy atoms can be depicted using Morse potentials, which provide the wave function of the eigenstate and the probability distribution of hydrogen in the local structure based on the solutions of the Schr¨odinger equation.