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fibonacci stoichiometry and Superb Performance of Nb₁₆W₅O₅₅ and Related Super-Battery Materials

Journal of Applied Mathematics and Physics 2022年第6期10卷 1936-1950页

作者： Hans Hermann Otto Materialwissenschaftliche Kristallographie Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

In this contribution, two important crystallographic concepts for the formation of a series of block structures associated with channeling have been compared: chemical twinning and crystallographic shear. Twin planes respectively shear planes besides formed channels serve as a sink for charge carriers or, when the oxidation state of metal ions can be reduced, as a reservoir for intercalated lithium. In this way, Wadsley-Roth shear phases such as niobium tungsten oxide exhibit channels for ultra-fast lithium-ion diffusion. They are in focus as anode material for super-batteries, superb in terms of energy respectively power density, charging time, cycle life and safety. It should be noted that the transition metal to oxygen ratio TM/O = 21/55 of the title compound is a fibonacci number quotient. Also, the crystal lattice can be traced back to fibonacci geometry. When replacing only 0.0213 tungsten atoms in the formula with less expensive titanium, a TM/O ratio of 0.381966 =ϕ2 can be adapted besides an average valence electron concentration of 2⋅ϕ-2, where represents the most irrational number of the golden mean. The additional disorder caused by even such small titanium replacement and accompanied oxygen vacancies could fasten up the already high lithium diffusion further. Ultrasonic treatment may be applied besides thermal cycling to prepare phase-pure of the highest electrochemical performance. A replacement of oxygen by some fluorine atoms is an obvious synthesis possibility, but the higher binding energy expected between lithium and fluorine in contrast to oxygen may rather hinder than promote lithium diffusion.

关键词： Super Battery Niobium Tungsten Oxide Crystallographic Shear Chemical Twinning fibonacci stoichiometry Ti Substitution

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New Superionic Memory Devices Can Provide Clues to the Human Memory Structure and to Consciousness

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Journal of Applied Mathematics and Physics 2023年第2期11卷 377-376页

作者： Hans Hermann Otto Materialwissenschaftliche Kristallographie Clausthal University of Technology Clausthal-Zellerfeld Lower Saxony Germany

Since the work of Penrose and Hameroff the possibility is discussed that the location of human memory and consciousness could be connected with tubulin microtubules. If one would use superionic nano-materials rolled up to microtubules with an electrolyte inside the formed channels mediating fast ionic exchange of protons respectively lithium ions, it seems to be possible to write into such materials whole image arrays (pictures) under the action of the complex electromagnetic spectrum that composes these images. The same material and architecture may be recommended for super-computers. Especially microtubules with a protofilament number of 13 are the most important to note. We connected such microtubules before with fibonacci nets composed of 13 sub-cells that were helically rolled up to deliver suitable channels. Our recent fibonacci analysis of Wadsley-Roth shear phases such as niobium tungsten oxide , exhibiting channels for ultra-fast lithium-ion diffusion, suggests to use these materials, besides super-battery main application, in form of nanorods or microtubules as effectively working superionic memory devices for computers that work ultra-fast with the complex effectiveness of human brains. Finally, we pose the question, whether dark matter, ever connected with ultrafast movement of ordinary matter, may be responsible for synchronization between interactions of human brains and consciousness.

关键词： Memory Device Niobium Tungsten Oxide Crystallographic Shear Lithium Intercalation Superionicity Super Battery fibonacci Nets fibonacci stoichiometry Tubulin Microtubules

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