Sintering temperature, excess sodium, and phosphorous dependencies on morphology and ionic conductivity of NASICON Na3Zr2Si2PO12
SOLID STATE IONICS
Authors: Narayanan, Sumaletha; Reid, Samuel; Butler, Shantel; Thangadurai, Venkataraman
Abstract
The phase pure NASICON Na3Zr2Si2PO12 materials were synthesized through solid-state synthesis method at different temperatures ranging from 1100 to 1280 degrees C to understand the effect of final sintering temperature on the material properties. The structural and morphological characterizations were carried out using powder X-ray diffraction and scanning electron microscopy. The electrical characterizations were performed using AC impedance spectroscopy. The highest ionic conductivity of 1.13 mS cm(-1) at 20 degrees C was observed for the NASICON sample, which was sintered at 1100 degrees C for 12 h using 10 wt% excess sodium precursor NaNO3. The density of the samples appeared to be similar irrespective of the final sintering temperatures. The decrease in conductivity with increase in sintering temperature might be due to the loss of volatile components at high temperature. It is shown by our systematic studies that adding excess Na content alone, rather than adding excess Na and P contents to compensate for the volatile loss, is ideal in synthesizing dense NASICON materials, while keeping the sintering temperature at 1100 degrees C for 12 h via the solid-state synthesis method. A promising electrochemical stability was observed during the galvanostatic stripping-platting experiment for one of the compositions. This class of materials forms the basis for a sodium-ion electrolyte for all-solid-state sodium-ion secondary battery.
Knots, links, anyons and statistical mechanics of entangled polymer rings
NUCLEAR PHYSICS B
Authors: Ferrari, Franco; Paturej, Jaroslaw; Piatek, Marcin; Zhao, Yani
Abstract
The field theory approach to the statistical mechanics of a system of N polymer rings linked together is extended to the case of links whose paths in space are characterized by a fixed number 2s of maxima and minima. Such kind of links are called 2s-plats and appear for instance in the DNA of living organisms or in the wordlines of quasiparticles associated with vortices nucleated in a quasi-two-dimensional super-fluid. The path integral theory describing the statistical mechanics of polymers subjected to topological constraints is mapped here into a field theory of quasiparticles (anyons). In the particular case of s = 2, it is shown that this field theory admits vortex solutions with special self-dual points in which the interactions between the vortices vanish identically. The topological states of the link are distinguished using two topological invariants, namely the Gauss linking number and the so-called bridge number which is related to s. The Gauss linking number is a topological invariant that is relatively weak in distinguishing the different topological configurations of a general link. The addition of topological constraints based on the bridge number allows to get a glimpse into the non-abelian world of quasiparticles, which is relevant for important applications like topological quantum computing and high-T-C superconductivity. At the end an useful connection with the cosh-Gordon equation is shown in the case s = 2. (C) 2019 The Authors. Published by Elsevier B.V.