New Condensed Matter Physics Model of Water Material in its Three Dimensions and Phases Solid (Ice), Liquid (Fluid Water) and Gas (Vapor)

In pure water, electrical mobility of hydroxide ion (OH)^– and hydronium ion (H₃O)⁺=(H₂O)H⁺ are 5 times higher than impurity ions (Na⁺, Cl^–). In 2013, Chihtang Sah delayed retiring from transistor manufacturing and college teaching, to find out why.  In June of 2017, he accepted me to work on this project. I noticed at 0°K, only half of the trisector sites between the adjacent tetrahedral oxygens of the hexagonal closed packed ice are occupied by protons, p⁺, forming a band of proton filled sites. The other half are unoccupied by p⁺, forming a band of proton unfilled sites. When ice warms up from 0°K, some p⁺ in proton filled band are excited to proton unfilled band, by absorbing propagating longitudinal proton vibrations, leaving some proton-filled sites unoccupied by protons, or occupied by prohols.  From pH measurements in liquid water, this proton-prohol pair has an activation energy of 540meV. Proton and prohol traps are also formed, but by localized proton vibrations which are fed by the traveling proton and prohol vibrations from the surrounding heat source through the fluid water tank and by the number of Born-Von Karman primitive unit cells in the tank.  This water lattice model is applicable to Nuclear, Particle, Astro and Cosmo physics at their kinetic energies.