Application of Numerical Methods to Study Arrangement and Fracture of Lithium-Ion Microstructure

The focus of this work is to develop and employ numerical methods that provide characterization of granular microstructures, dynamic fragmentation of brittle materials, and dynamic fracture of three-dimensional bodies.

We first propose the fabric tensor formalism to describe the structure and evolution of lithium-ion electrode microstructure during the calendaring process. Fabric tensors are directional measures of particulate assemblies based on inter-particle connectivity, relating to the structural and transport properties of the electrode. Applying this technique to X-ray computed tomography of cathode microstructure, we show that fabric tensors capture the evolution of the inter-particle contact distribution and are therefore good measures for the internal state of and electronic transport within the electrode.

We then shift focus to the development and analysis of fracture models within finite element simulations. A difficult problem to characterize in the realm of fracture modeling is that of fragmentation, wherein brittle materials subjected to a uniform tensile loading break apart into a large number of smaller pieces. We explore the effect of numerical precision in the results of dynamic fragmentation simulations using the cohesive element approach on a one-dimensional domain. By introducing random and non-random field variations, we discern that round-off error plays a significant role in establishing a mesh-convergent solution for uniform fragmentation problems. Further, by using differing magnitudes of randomized material properties and mesh discretizations, we find that employing randomness can improve convergence behavior and provide a computational savings.

The Thick Level-Set model is implemented to describe brittle media undergoing dynamic fragmentation as an alternative to the cohesive element approach. This non-local damage model features a level-set function that defines the extent and severity of degradation and uses a length scale to limit the damage gradient. In terms of energy dissipated by fracture and mean fragment size, we find that the proposed model reproduces the rate-dependent observations of analytical approaches, cohesive element simulations, and experimental studies.

Lastly, the Thick Level-Set model is implemented in three dimensions to describe the dynamic failure of brittle media, such as the active material particles in the battery cathode during manufacturing. The proposed model matches expected behavior from physical experiments, analytical approaches, and numerical models, and mesh convergence is established. We find that the use of an asymmetrical damage model to represent tensile damage is important to producing the expected results for brittle fracture problems.

The impact of this work is that designers of lithium-ion battery components can employ the numerical methods presented herein to analyze the evolving electrode microstructure during manufacturing, operational, and extraordinary loadings. This allows for enhanced designs and manufacturing methods that advance the state of battery technology. Further, these numerical tools have applicability in a broad range of fields, from geotechnical analysis to ice-sheet modeling to armor design to hydraulic fracturing.

Lithium concentration in manganese nodules of the Pacific Ocean (Hakurei Maru Cruise GH77-1, January-March, 1977)

Various manganese nodules donated to the Scripps Institution of Oceanography from the Hakurei Maru Cruise GH77-1, January-March, 1977, in the Central Pacific Basin have been analysed for their lithium content by J. Korkish from the Institute of Analytical Chemistry, Analysis of Nuclear Raw Materials Division, University of Vienna, Austria. The author has used a Perkin-Elmer atomic-absorption spectrometer 303 after speration by dissolution in hydrochloric acid.

Chemical and isotopic composition of carbonate veins from ODP Leg 209

Carbonate veins hosted in ultramafic basement drilled at two sites in the Mid Atlantic Ridge 15°N area record two different stages of fluid-basement interaction. A first generation of carbonate veins consists of calcite and dolomite that formed syn- to postkinematically in tremolite-chlorite schists and serpentine schists that represent gently dipping large-offset faults. These veins formed at temperatures between 90 and 170 °C (oxygen isotope thermometry) and from fluids that show intense exchange of Sr and Li with the basement (87Sr/86Sr = 0.70387 to 0.70641, d7Li L-SVEC = + 3.3 to + 8.6 per mil). Carbon isotopic compositions range to high d13C PDB values (+ 8.7 per mil), indicating that methanogenesis took place at depth. The Sr-Li-C isotopic composition suggests temperatures of fluid-rock interaction that are much higher (T > 350-400 °C) than the temperatures of vein mineral precipitation inferred from oxygen isotopes. A possible explanation for this discrepancy is that fluids cooled conductively during upflow within the presumed detachment fault. Aragonite veins were formed during the last 130 kyrs at low-temperatures within the uplifted serpentinized peridotites. Chemical and isotopic data suggest that the aragonites precipitated from cold seawater, which underwent overall little exchange with the basement. Oxygen isotope compositions indicate an increase in formation temperature of the veins by 8-12 °C within the uppermost ~ 80 m of the subseafloor. This increase corresponds to a high regional geothermal gradient of 100-150 °C/km, characteristic of young lithosphere undergoing rapid uplift.

A Comparison of the Impacts of Lithium Extraction and Lithium Recycling Processes

Lithium is used in the cathode and electrolyte of rechargeable batteries in many portable electronics and electric vehicles, and is thus seen as a critical component of modern technology (Gruber et al., 2011). Electric vehicles are promoted as a way to reduce carbon emissions associated with the transportation sector, which accounts for 14.3% of anthropogenic greenhouse gas emissions (OECD International Transport Forum, 2010). However, the sustainability of lithium procurement will influence the overall environmental impact of this proposed “green” solution. It is estimated that 66% of the world’s lithium resource is contained in natural brines, 24% in pegmatites, and 8% in sedimentary rocks such as hectorite clays (Gruber et al., 2011). It has been shown that “[r]ecycling of lithium from Li-ion batteries may be a critical factor in balancing the supply of lithium with future demand” (Gruber et al., 2011). In an attempt to quantify energy and materials consumption associated with production of a unit of useful lithium compounds, industry reports and peer-reviewed scientific literature concerning lithium mining and lithium recycling were reviewed and compared. Other aspects of sustainability, such as waste or by-products produced in the production of a unit of useful lithium, were also explored. Thus, this paper will serve to further the evaluation of the comparative environmental consequences associated with lithium production via extraction versus recycling. Efficiencies must be made in both processes to maximize productivity while minimizing ecological harm.

Gas Solubility and Vapor Pressure of Electrolytes Based on Alkylcarbonates Containing Litfsi, Lifap, and LiPF6 Lithium Salt: Measurement and Prediction

Most liquid electrolytes used in commercial lithium-ion batteries are composed by alkylcarbonate mixture containing lithium salt. The decomposition of these solvents by oxidation or reduction during cycling of the cell, induce generation of gases (CO2, CH4, C2H4, CO …) increasing of pressure in the sealed cell, which causes a safety problem [1]. The prior understanding of parameters, such as structure and nature of salt, temperature pressure, concentration, salting effects and solvation parameters, which influence gas solubility and vapor pressure of electrolytes is required to formulate safer and suitable electrolytes especially at high temperature.

We present in this work the CO2, CH4, C2H4, CO solubility in different pure alkyl-carbonate solvents (PC, DMC, EMC, DEC) and their binary or ternary mixtures as well as the effect of temperature and lithium salt LiX (X = LiPF6, LiTFSI or LiFAP) structure and concentration on these properties. Furthermore, in order to understand parameters that influence the choice of the structure of the solvents and their ability to dissolve gas through the addition of a salt, we firstly analyzed experimentally the transport properties (Self diffusion coefficient (D), fluidity (h-1), and conductivity (s) and lithium transport number (tLi) using the Stock-Einstein, and extended Jones-Dole equations [2]. Furthermore, measured data for the of CO2, C2H4, CH4 and CO solubility in pure alkylcarbonates and their mixtures containing LiPF6; LiFAP; LiTFSI salt, are reported as a function of temperature and concentration in salt. Based on experimental solubility data, the Henry’s law constant of gases in these solvents and electrolytes was then deduced and compared with values predicted by using COSMO-RS methodology within COSMOthermX software. From these results, the molar thermodynamic functions of dissolution such as the standard Gibbs energy, the enthalpy, and the entropy, as well as the mixing enthalpy of the solvents and electrolytes with the gases in its hypothetical liquid state were calculated and discussed [3]. Finally, the analysis of the CO2 solubility variations with the salt addition was then evaluated by determining specific ion parameters Hi by using the Setchenov coefficients in solution. This study showed that the gas solubility is entropy driven and can been influenced by the shape, charge density, and size of the anions in lithium salt.

References

[1] S.A. Freunberger, Y. Chen, Z. Peng, J.M. Griffin, L.J. Hardwick, F. Bardé, P. Novák, P.G. Bruce, Journal of the American Chemical Society 133 (2011) 8040-8047.

[2] P. Porion, Y.R. Dougassa, C. Tessier, L. El Ouatani, J. Jacquemin, M. Anouti, Electrochimica Acta 114 (2013) 95-104.

[3] Y.R. Dougassa, C. Tessier, L. El Ouatani, M. Anouti, J. Jacquemin, The Journal of Chemical Thermodynamics 61 (2013) 32-44.

A simply effective double-coating cathode with MnO2 nanosheets/graphene as functionalized interlayer for high performance lithium-sulfur batteries

Herein, we report a facile and effective adsorption strategy to improve the performance of Lithium-Sulfur (Li-S) batteries. MnO₂ nanosheets grown on the surface of highly conductive graphene resulted in a coupled composite bilayer electrode when coated onto a sulfur cathode. In this way, a high initial specific capacity of 1395 mA h g^-1 at a rate of 0.5C, a coulombic efficiency approaching 100% and steady cyclic efficiency with a fade rate of 0.3% per cycle from 10 to 100 cycles has been achieved. This hybrid electrode not only shows enhanced electrochemical performance but can also be easily controlled and scaled thereby aiding future commercialization of high-performance Li-S batteries.

Facile synthesis of copper-manganese spinel anodes with high capacity and cycling performance for lithium-ion batteries

Copper-manganese spinel containing anodes were synthesized by a facile sol-gel method and evaluated in lithium-ion battery applications for the first time. The synergistic effects between copper-manganese and the aqueous binder (sodium carboxymethyl cellulose) provided a high specific capacity and excellent cycling performance. It was found that the specific capacity of the copper-manganese spinel remained at 608 mAh g⁻¹ after 100 cycles at a current density of 200 mA g⁻¹. Furthermore, a relatively high reversible capacity of 278 mAh g⁻¹ could be obtained at a current density of 2000 mA g⁻¹, indicating a good rate capability. These studies suggest that copper-manganese spinel is a promising material for lithium-ion battery applications due to a combination of good electrochemical performance and low cost.

Model optimization and techniques for the simulation of multiphase chemical reactors

Otto-von-Guericke-Universität Magdeburg, Fakultät für Verfahrens- und Systemtechnik, Dissertation, 2016

Synthèse de titanates de lithium nanostructurés par plasma inductif pour les batteries lithium-ion

Le marché des accumulateurs lithium-ion est en expansion. Cette croissance repose partiellement sur la multiplication des niches d’utilisation et l’amélioration constante de leurs performances. En raison de leur durabilité exceptionnelle, de leur faible coût, de leur haute densité de puissance et de leur fiabilité, les anodes basées sur les titanates de lithium, et plus particulièrement le spinelle Li4Ti5O12, présentent une alternative d’intérêt aux matériaux classiques d’anodes en carbone pour de multiples applications. Leur utilisation sous forme de nanomatériaux permet d’augmenter significativement la puissance disponible par unité de poids. Ces nanomatériaux ne sont typiquement pas contraints dans une direction particulière (nanofils, nanoplaquettes), car ces formes impliquent une tension de surface plus importante et requièrent donc généralement un mécanisme de synthèse dédié. Or, ces nanostructures permettent des réductions supplémentaires dans les dimensions caractéristiques de diffusion et de conduction, maximisant ainsi la puissance disponible, tout en affectant les propriétés habituellement intrinsèques des matériaux. Par ailleurs, les réacteurs continus reposant sur la technologie du plasma thermique inductif constituent une voie de synthèse démontrée afin de générer des volumes importants de matériaux nanostructurés. Il s’avère donc pertinent d’évaluer leur potentiel dans la production de titanates de lithium nanostructurés. La pureté des titanates de lithium est difficile à jauger. Les techniques de quantification habituelles reposent sur la fluorescence ou la diffraction en rayons X, auxquelles le lithium élémentaire se prête peu ou pas. Afin de quantifier les nombreuses phases (Li4Ti5O12, Li2Ti3O7, Li2TiO3, TiO2, Li2CO3) identifiées dans les échantillons produits par plasma, un raffinement de Rietveld fut développé et validé. La présence de γ-Li2TiO3 fut identifiée, et la calorimétrie en balayage différentiel fut explorée comme outil permettant d’identifier et de quantifier la présence de β-Li2TiO3. Différentes proportions entre les phases produites et différents types de morphologies furent observés en fonction des conditions d’opération du plasma. Ainsi, des conditions de trempe réductrice et d’ensemencement en Li4Ti5O12 nanométrique semblent favoriser l’émergence de nanomorphologies en nanofils (associés à Li4Ti5O12) et en nanoplaquette (associées à Li2TiO3). De plus, l’ensemencement et les recuits augmentèrent significativement le rendement en la phase spinelle Li4Ti5O12 recherchée. Les recuits sur les poudres synthétisées par plasma indiquèrent que la décomposition du Li2Ti3O7 produit du Li4Ti5O12, du Li2TiO3 et du TiO2 (rutile). Afin d’approfondir l’investigation de ces réactions de décomposition, les paramètres cristallins du Li2Ti3O7 et du γ-Li2TiO3 furent définis à haute température. Des mesures continues en diffraction en rayon X à haute température furent réalisées lors de recuits de poudres synthétisées par plasma, ainsi que sur des mélanges de TiO2 anatase et de Li2CO3. Celles-ci indiquent la production d’un intermédiaire Li2Ti3O7 à partir de l’anatase et du carbonate, sa décomposition en Li4Ti5O12 et TiO2 (rutile) sur toute la plage de température étudiée, et en Li2TiO3 et TiO2 (rutile) à des températures inférieures à 700°C.