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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Materials Science and Engineering, 2016., Cataloged from PDF version of thesis., Includes bibliographical references (pages 119-140)., Lithium-ion batteries are currently the most widely used consumer energy storage technology. Recently, lithium-ion batteries have been evaluated for use in mitigating the intermittent power supply of leading renewable energy technologies, thereby enabling their use on the electric grid. In order to facilitate the widespread adoption of electric vehicles and renewable energy technologies, the energy-densities, lifetimes, and cost of batteries must be improved. Due to concerns over long-term lithium availability, sodium-ion batteries are currently being investigated as an alternative to lithium-ion batteries in grid-level applications. In this thesis, we use ab inritio methods to characterize th high-voltage sodium-ion fluorophosphate with formula NaxV2(PO4)2O2yF3-2y as an alternative chemistry to Li-ion batteries. In Chapter 3 we investigate the sodium-extraction limitations in the NaxV2(PO4)2O2yF3-2 fluorophosphate. Specifically, we focus on the potential to reversibly extract sodium beyond the 1

The space of metastable materials offers promising new design opportunities for next-generation technological materials, such as complex oxides, semiconductors, pharmaceuticals, steels, and beyond. Although metastable phases are ubiquitous in both nature and technology, only a heuristic understanding of their underlying thermodynamics exists. We report a large-scale data-mining study of the Materials Project, a high-throughput database of density functional theory–calculated energetics of Inorganic Crystal Structure Database structures, to explicitly quantify the thermodynamic scale of metastability for 29,902 observed inorganic crystalline phases. We reveal the influence of chemistry and composition on the accessible thermodynamic range of crystalline metastability for polymorphic and phase-separating compounds, yielding new physical insights that can guide the design of novel metastable materials. We further assert that not all low-energy metastable compounds can necessarily be synthesized, and propose a principle of ‘remnant metastability’—that observable metastable crystalline phases are generally remnants of thermodynamic conditions where they were once the lowest free-energy phase., United States. Dept. of Energy. Office of Basic Energy Sciences (DE-AC02-05CH11231), United States. Dept. of Energy. Office of Basic Energy Sciences (contract UGA-0-41029-16/ER392000)

Cation disorder is an important design criterion for technologically relevant transition-metal (TM) oxides, such as radiation-tolerant ceramics and Li-ion battery electrodes. In this Letter, we use a combination of first-principles calculations, normal mode analysis, and band-structure arguments to pinpoint a specific electronic-structure effect that influences the stability of disordered phases. We find that the electronic configuration of a TM ion determines to what extent the structural energy is affected by site distortions. This mechanism explains the stability of disordered phases with large ionic radius differences and provides a concrete guideline for the discovery of novel disordered compositions.

Lattice models, also known as generalized Ising models or cluster expansions, are widely used in many areas of science and are routinely applied to the study of alloy thermodynamics, solid-solid phase transitions, magnetic and thermal properties of solids, fluid mechanics, and others. However, the problem of finding and proving the global ground state of a lattice model, which is essential for all of the aforementioned applications, has remained unresolved for relatively complex practical systems, with only a limited number of results for highly simplified systems known. In this paper, we present a practical and general algorithm that provides a provable periodically constrained ground state of a complex lattice model up to a given unit cell size and in many cases is able to prove global optimality over all other choices of unit cell. We transform the infinite-discrete-optimization problem into a pair of combinatorial optimization (MAX-SAT) and nonsmooth convex optimization (MAX-MIN) problems, which provide upper and lower bounds on the ground state energy, respectively. By systematically converging these bounds to each other, we may find and prove the exact ground state of realistic Hamiltonians whose exact solutions are difficult, if not impossible, to obtain via traditional methods. Considering that currently such practical Hamiltonians are solved using simulated annealing and genetic algorithms that are often unable to find the true global energy minimum and inherently cannot prove the optimality of their result, our paper opens the door to resolving longstanding uncertainties in lattice models of physical phenomena. An implementation of the algorithm is available at https://github.com/dkitch/maxsat-ising., United States. Dept. of Energy (Contract DE-FG02-96ER45571), United States. Office of Naval Research (Contract N00014-14-1-0444)

Current state-of-the-art Na-ion battery cathodes are selected from the broad chemical space of layered first-row transition-metal (TM) oxides. Unlike their lithium-ion counterparts, seven first-row layered TM oxides can intercalate Na ions reversibly. Their voltage curves indicate significant and numerous reversible phase transformations during electrochemical cycling. These transformations are not yet fully understood but arise from Na-ion vacancy ordering and metal oxide slab glide. In this study, we investigate the nature of vacancy ordering within the O3 host lattice framework. We generate predicted electrochemical voltage curves for each of the Na-ion intercalating layered TM oxides by using a high-throughput framework of density-functional-theory calculations. We determine a set of vacancy-ordered phases appearing as ground states in all Na[subscript x]MO[subscript 2] systems and investigate the energy effect of the stacking of adjacent layers., Samsung Advanced Institute of Technology

There is a clear need for a practical and mathematically rigorous description of local structure in inorganic compounds so that structures and chemistries can be easily compared across large data sets. Here a method for decomposing crystal structures into substructures is given, and a similarity function between those substructures is defined. The similarity function is based on both geometric and chemical similarity. This construction allows for large-scale data mining of substructural properties, and the analysis of substructures and void spaces within crystal structures. The method is validated via the prediction of Li-ion intercalation sites for the oxides. Tested on databases of known Li-ion-containing oxides, the method reproduces all Li-ion sites in an oxide with a maximum of 4 incorrect guesses 80% of the time., National Science Foundation (U.S.) (SI2-SSI Collaborative Research program Award OCI-1147503), United States. Dept. of Energy. Office of Basic Energy Sciences (Grant EDCBEE)