Computed Lattice Vibration Frequency Spectra Explain the Abnormally High Electrical Mobilities of Positive and Negative Ions in Pure Liquid Water Using the Vibrational Force Constants of Oxygen and Hydrogen (Proton) Nuclei in its Solid and Gas Phases.*

Our 2013 melted ice model extends the 1933 Bernal-Fowler Hexagonal Close Packed Ice crystal model to pure liquid water (0-100C). The periodically-extended 2 trisector proton sites between 2 nearest neighbor oxygen nuclei, occupied or unoccupied by a proton, are the 2 physical spaces for the migrations of the 2 protonic fermion species, the protons and prohols. The physical space describes, in the statistically large sensible volume, the 2 protonic energy bands, for protons migrating among the unoccupied proton sites and prohols migrating among the occupied proton sites. The vibrational modes of the protons and oxygens give the 2 atomic phonon species: 12 oxygenic bosons in the low energy range and 24 protonic bosons in the high energy range. Electrical charge and inertia mass transports in pure liquid water, are carried by the protons, and dominated by the strong localized (local mode & self trap) interaction between the protonic fermions and protonic bosons, with noisy background from the oxygenic bosons. Our computed temperature variations (0–100C) of the three parameters (the proton product and the two protonic mobilities) are in excellent agreement with the international handbook values.