This study has two parts. In the first part we develop a computational approach to the solution of an inverse modelling problem concerning the material properties of electrolytes used in Lithium-ion batteries. The dependence of the diffusion coefficient and the transference number on the concentration of Lithium ions is reconstructed based on the concentration data obtained from an in-situ NMR imaging experiment. This experiment is modelled by a system of 1D time-dependent Partial Differential Equations (PDE) describing the evolution of the concentration of Lithium ions with prescribed initial concentration and fluxes at the boundary. The material properties that appear in this model are reconstructed by solving a variational optimization problem in which the least-square error between the experimental and simulated concentration values is minimized. The uncertainty of the reconstruction is characterized by assuming that the material properties are random variables and their probability distribution estimated using a novel combination of Monte-Carlo approach and Bayesian statistics. In the second part of this study, we carefully analyze a number of secondary effects such as ion pairing and dendrite growth that may influence the estimation of the material properties and develop mathematical models to include these effects. We then use reconstructions of material properties based on inverse modelling along with their uncertainty estimates as a framework to validate or invalidate the models. The significance of certain secondary effects is assessed based on the influence they have on the reconstructed material properties. / Thesis / Doctor of Philosophy (PhD)

Hepatocyte transmembrane potential (Vm) behaves as an osmometer and varies with changes in extracellular osmotic pressure created by altering the NaCl concentration in the external medium (Howard, L.D. and Wondergem, R. (1987) J. Membr. Biol. 100, 53). We now have demonstrated similar effects on Vm by increasing external osmolality with added sucrose and not altering ionic strength. We also have demonstrated that hyperosmotic stress-induced depolarization of Vm results from changes in membrane K+ conductance, gK, rather than from changes in the K+ equilibrium potential. Vm and aki of hepatocytes in liver slices were measured by conventional and ion-sensitive microelectrodes, respectively. Cell water vols. were estimated by differences in wet and dry weights of liver slices after 10-min incubations. Effect of hyperosmotic medium on membrane transference number for K+, tk, was measured by effects on Vm of step-changes in external [K+]. Hepatocyte Vm decreased 34, 52 and 54% when tissue was superfused with medium made hyperosmotic with added sucrose (50, 100 and 150 mM). Correspondingly, aKi increased 10, 18 and 29% with this hyperosmotic stress of added sucrose. Tissue water of 2.92 ± 0.10 kg H2O/kg dry weight in control solution decreased to 2.60 ± 0.05, 2.25 ± 0.06 and 2.22 ± 0.05 kg H2O/kg dry weight with additions to medium of 50, 100 and 150 mM sucrose, respectively. Adding 50 mM sucrose to medium decreased tK from 0.20 ± 0.01 to 0.05 ± 0.01. Depolarization by 50% with hyperosmotic stress (100 mM sucrose) also occurred in Cl-free medium where Cl- was substituted with gluconate. We conclude that hepatocytes shrink during hyperosmotic stress, and the aKi increases. The accompanying decrease in Vm is opposite to that expected by an increase in aKi, and at least in part results from a concomitant decrease in gK. Changes in membrane Cl- conductance most likely do not contribute to osmotic stress-induced depolarization, since equivalent decreases in Vm occurred with added sucrose in cells depleted of Cl- by superfusing tissue with Cl-free medium.

Conventional oxygen anion conducting yttria-stabilized zirconia (YSZ) based solid oxide fuel cells (SOFCs) operate at high temperatures (800oC-1000oC). SOFCs based on proton conducting ceramics, however, can operate at intermediate temperatures (450oC-750oC) due to low activation energy for protonic defect transport when compared to oxygen vacancy transport. Fuel cells that operate at intermediate temperatures ease the critical materials requirements of cell components and reduce system costs, which is necessary for large scale commercialization. BaCeO3-based perovskite materials are candidates for use as ion conductors in intermediate temperature SOFCs (IT-SOFCs) when doped with trivalent cations in the B-site. B-site doping forms oxygen vacancies which greatly increases the electrical conductivity of the material. The oxygen vacancies are consumed during the creation of protonic defects or electronic defects, depending on the atmosphere and temperature range. High performance IT-SOFCs based on the Y3+ and Yb3+ doped BaCeO3-based system, BaZr0.1Ce0.7Y0.1Yb0.1O3-δ (BZCYYb) have been recently reported. High conductivity in O2/H2O atmosphere was reported, however, a more basic understanding of the BZCYYb structure, electrical conductivity, and the portion of the charge carried by each charge carrier under fuel cell conditions is lacking. In this work, the BZCYYb material is fabricated by the solid state reaction method and the crystal structure at intermediate temperatures is studied using HT-XRD. The total conductivity of BZCYYb in H2/H2O, O2/H2O, and air atmospheres in the IT-SOFC temperature range is reported. The activation energy for transport at these conditions is determined from the conductivity data and the transference numbers of protonic defects, oxygen anion defects and electronic defects in the BZCYYb material are determined by the concentration cell - OCV method. BZCYYb is a mixed proton, oxygen anion, and electronic conductor at IT-SOFC temperature ranges (450oC - 750oC), in H2, O2, and H2O containing atmospheres. Ni-BZCYYb/BZCYYb/BZCYYb-LSCF fuel cells were constructed and peak power densities of ~1.2 W/cm2 were reported at 750oC after optimization of the Ni-BZCYYb anode porosity. Decreasing the Ni-BZCYYb anode porosity did not significantly affect the electrical conductivity of the anode, however the peak power densities of the IT-SOFCs based on the anode with less porosity, calculated from I-V curve data, showed dramatic improvement. The fuel cell with the lowest anode porosity demonstrated the highest performance. This finding is in stark contrast to the optimal anode porosity needed for high performance in YSZ-based, oxygen anion conducting SOFCs. Because of significant proton conduction in the BZCYYb material, fuel cell reaction products (water) form at the cathode side and less porosity is required on the anode side. The improvement in performance in the BZCYYb based IT-SOFC is attributed to the unique microstructure formed in the Ni-BZCYYb anode when no pore forming additives are used which may contribute to high electrocatalytic behavior for anode reactions. This work provides a basic understanding of the electrical properties of BZCYYb and clarifies the feasibility of using BZCYYb in each component of the IT-SOFC system as well as in other electrochemical devices. The high performance of the Ni-BZCYYb/BZCYYb/BZCYYb-LSCF IT-SOFC, due to low anode porosity, provides a new understanding for the rational development of high performance IT-SOFCs based on electrolytes with significant protonic conduction.

State of the art conductivity equipment has been used to measure deuterium isotope effects on the molar conductivity of strong electrolytes in the temperature range of 298 K to 598 K as a means of exploring solvation effects under hydrothermal conditions. Individual ionic contributions were determined by extrapolation of published transference number data to elevated temperature. The temperature dependence of the Walden product ratio indicates that there is little difference in the transport of ions between light and heavy water . Excess conductivity observed in hydrogen and deuterium compounds arising from proton hopping in hydrogen-bonded networks has been determined in the temperature range of 318 K to 598 K for the first time

The transition from fossil fuels to renewable resources has created more demand for energy storage devices. Lithium-oxygen (Li-O2) batteries have attracted much attention due to their high theoretical energy densities. They, however, are still in their infancy and several fundamental challenges remain to be addressed. Advanced analytical techniques have revealed that all components of a Li-O2 battery undergo undesirable degradation during discharge/charge cycling, contributing to reduced cyclability. Despite many attempts to minimize the anode and cathode degradation, the electrolyte remains as the leading cause for rapid capacity fading and poor cyclability in Li-O2 batteries. In this dissertation, composite gel polymer electrolytes (cGPEs) consisting of a UV-curable polymer, tetragylme based electrolyte, and glass microfibers with a diameter of ~1 µm and an aspect ratio of >100 have been developed for their use in Li-O2 battery application. The Li-O2 batteries containing cGPEs showed superior charge/discharge cycling for 500 mAh.g-1 cycle capacity with as high as 400% increase in cycles for cGPE over gel polymer electrolytes (GPEs). Results using in-situ electrochemical impedance spectroscopy (EIS), Raman spectroscopy, and scanning electron microscopy revealed that the source of the improvement was the reduction of the rate of lithium carbonates formation on the surface of the cathode. This decrease in formation rate afforded by cGPE-containing batteries was possible due to the decrease of the rate of electrolyte decomposition. The increase in solvated to the paired Li+ ratio at the cathode, afforded by increased lithium transference number, helped lessen the probability of superoxide radicals reacting with the tetraglyme solvent. This stabilization during cycling helped prolong the cycling life of the batteries. The effect of ion complexes on the stability of liquid glyme based electrolytes with various lithium salt concentrations has also been investigated for Li-O2 batteries. Charge/discharge cycling with a cycle capacity of 500 mAh·g-1 showed an improvement as high as 300% for electrolytes containing higher lithium salt concentrations. Analysis of the Raman spectroscopy data of the electrolytes suggested that the increase in lithium salt concentration afforded the formation of cation-solvent complexes, which in turn, mitigated the tetragylme degradation.