Phonon Assisted Unipolar and Bipolar Trappy Protonic Transport in Pure Water on Melted Ice Lattice

Melted ice lattice of the hexagonal close packed (HCP) primitive unit cell containing four water molecules in each cell, based on the 1933 Bernal and Fowler structure, was convincingly proven by the 1935 Linus Pauling residual entropy theory. It was used by us to model the electrical mobility of point-mass protons in pure liquid water, giving two alternative models: (1) the bipolar proton and prohol (proton-hole) model, which is the counterpart of the electron and hole model in the electronic semiconductor, such as element semiconductor Silicon crystal; (2) the unipolar three-positive point-mass proton trapping model. Proton trapping and detrapping at each dynamic protonic trapping center are assisted by one protonic phonon absorption and emission, characterized by an experimental activation energy. From the experimental data vs temperature of the three properties, ion product and two ion mobilities, three thermal activation energies were obtained using our physics based algorithm. Using the one-dimension spring-mass vibration model, the ratios of the thermal energies are consistent with those from the four water molecules in the HCP primitive unit cell, and the energies match the vibration frequencies of isolated water molecule in vapor.