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N.J.J. de Klerk

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All-solid-state Li-ion batteries promise safer electrochemical energy storage with larger volumetric and gravimetric energy densities. A major concern is the limited electrochemical stability of solid electrolytes and related detrimental electrochemical reactions, especially because of our restricted understanding. Here we demonstrate for the argyrodite-, garnet- and NASICON-type solid electrolytes that the favourable decomposition pathway is indirect rather than direct, via (de)lithiated states of the solid electrolyte, into the thermodynamically stable decomposition products. The consequence is that the electrochemical stability window of the solid electrolyte is notably larger than predicted for direct decomposition, rationalizing the observed stability window. The observed argyrodite metastable (de)lithiated solid electrolyte phases contribute to the (ir)reversible cycling capacity of all-solid-state batteries, in addition to the contribution of the decomposition products, comprehensively explaining solid electrolyte redox activity. The fundamental nature of the proposed mechanism suggests this is a key aspect for solid electrolytes in general, guiding interface and material design for all-solid-state batteries. ...
Doctoral thesis (2019) - Niek de Klerk
Batteries have found widespread use, especially in mobile devices. With the inevitable energy transition the demand for batteries will rise further. Batteries for large-scale storage, transport applications and mobile devices all have different demands, requiring the development of a range of battery types for the storage of electrical energy. For these developments a better understanding of the fundamental aspects of materials and energy is necessary. ...
The high Li-ion conductivity of the Li7P3S11 sulfide-based solid electrolyte makes it a promising candidate for all-solid-state lithium batteries. The Li-ion transport over electrode-electrolyte and electrolyte-electrolyte interfaces, vital for the performance of solid-state batteries, is investigated by impedance spectroscopy and solid-state NMR experiments. An all-solid-state Li-ion battery is assembled with the Li7P3S11 electrolyte, nano-Li2S cathode and Li-In foil anode, showing a relatively large initial discharge capacity of 1139.5 mAh/g at a current density of 0.064 mA/cm2 retaining 850.0 mAh/g after 30 cycles. Electrochemical impedance spectroscopy suggests that the decrease in capacity over cycling is due to the increased interfacial resistance between the electrode and the electrolyte. 1D exchange 7Li NMR quantifies the interfacial Li-ion transport between the uncycled electrode and the electrolyte, resulting in a diffusion coefficient of 1.70(3)⋅10−14 cm2/s at 333 K and an energy barrier of 0.132 eV for the Li-ion transport between Li2S cathode and Li7P3S11 electrolyte. This indicates that the barrier for Li-ion transport over the electrode-electrolyte interface is small. However, the small diffusion coefficient for Li-ion diffusion between the Li2S and the Li7P3S11 suggests that these contact interfaces between electrode and electrolyte are relatively scarce, challenging the performance of these solid-state batteries. ...
Journal article (2018) - Alexandros Vasileiadis, Niek J.J. de Klerk, Raymond B. Smith, Swapna Ganapathy, Peter Paul R.M.L. Harks, Martin Z. Bazant, Marnix Wagemaker
Computational modeling is vital for the fundamental understanding of processes in Li-ion batteries. However, capturing nanoscopic to mesoscopic phase thermodynamics and kinetics in the solid electrode particles embedded in realistic electrode morphologies is challenging. In particular for electrode materials displaying a first order phase transition, such as LiFePO4, graphite, and spinel Li4Ti5O12, predicting the macroscopic electrochemical behavior requires an accurate physical model. Herein, a thermodynamic phase field model is presented for Li-ion insertion in spinel Li4Ti5O12 which captures the performance limitations presented in literature as a function of all relevant electrode parameters. The phase stability in the model is based on ab initio density functional theory calculations and the Li-ion diffusion parameters on nanoscopic nuclear magnetic resonance (NMR) measurements of Li-ion mobility, resulting in a parameter free model. The direct comparison with prepared electrodes shows good agreement over three orders of magnitude in the discharge current. Overpotentials associated with the various charge transport processes, as well as the active particle fraction relevant for local hotspots in batteries, are analyzed. It is demonstrated which process limits the electrode performance under a variety of realistic conditions, providing comprehensive understanding of the nanoscopic to microscopic properties. These results provide concrete directions toward the design of optimally performing Li4Ti5O12 electrodes. ...
Journal article (2018) - Alexandros Vasileiadis, Brian Carlsen, Niek J.J. De Klerk, Marnix Wagemaker
The main challenge of sodium-ion batteries is cycling stability, which is usually compromised due to strain induced by sodium insertion. Reliable high-voltage cathode materials are needed to compensate the generally lower operating voltages of Na-ion batteries compared to Li-ion ones. Herein, density functional theory (DFT) computations were used to evaluate the thermodynamic, structural, and kinetic properties of the high voltage λ-Mn2O4 and λ-Mn1.5Ni0.5O4 spinel structures as cathode materials for sodium-ion batteries. Determination of the enthalpies of formation reveal the reaction mechanisms (phase separation vs solid solution) during sodiation, while structural analysis underlines the importance of minimizing strain to retain the metastable sodiated phases. For the λ-Mn1.5Ni0.5O4 spinel, a thorough examination of the Mn/Ni cation distribution (dis/ordered variants) was performed. The exact sodiation mechanism was found to be dependent on the transition metal ordering in a similar fashion to the insertion behavior observed in the Li-ion system. The preferred reaction mechanism for the perfectly ordered spinel is phase separation throughout the sodiation range, while in the disordered spinel, the phase separation terminates in the 0.625 < x < 0.875 concentration range and is followed by a solid solution insertion reaction. Na-ion diffusion in the spinel lattice was studied using DFT as well. Energy barriers of 0.3-0.4 eV were predicted for the pure spinel, comparing extremely well with the ones for the Li-ion and being significantly better than the barriers reported for multivalent ions. Additionally, Na-ion macroscopic diffusion through the 8a-16c-8a 3D network was demonstrated via molecular dynamics (MD) simulations. For the λ-Mn1.5Ni0.5O4, MD simulations at 600 K bring forward a normal to inverse spinel half-transformation, common for spinels at high temperatures, showing the contrast in Na-ion diffusion between the normal and inverse lattice. The observed Ni migration to the tetrahedral sites at room temperature MD simulations explains the kinetic limitations experienced experimentally. Therefore, this work provides a detailed understanding of the (de)sodiation mechanisms of high voltage λ-Mn2O4 and λ-Mn1.5Ni0.5O4 spinel structures, which are of potential interest as cathode materials for sodium-ion batteries. ...
Journal article (2018) - Niek de Klerk, Eveline van der Maas, Marnix Wagemaker
Molecular dynamics simulations are a powerful tool to study diffusion processes in battery electrolyte andelectrode materials. From molecular dynamics simulations, manyproperties relevant to diffusion can be obtained, including the
diffusion path, amplitude of vibrations, jump rates, radial distribution functions, and collective diffusion processes. Hereit is shown how the activation energies of different jumps and theattempt frequency can be obtained from a single moleculardynamics simulation. These detailed diffusion properties provide
a thorough understanding of diffusion in solid electrolytes, andprovide direction for the design of improved solid electrolytematerials. The presently developed analysis methodology isapplied to DFT MD simulations of Li-ion diffusion in β-Li3PS4.The methodology presented is generally applicable to diffusion in crystalline materials and facilitates the analysis of moleculardynamics simulations. The code used for the analysis is freely available at: https://bitbucket.org/niekdeklerk/md-analysis-withmatlab. The results on β−Li3PS4 demonstrate that jumps between bc planes limit the conductivity of this important class of solid electrolyte materials. The simulations indicate that the rate-limiting jump process can be accelerated significantly by adding Li interstitials or Li vacancies, promoting three-dimensional diffusion, which results in increased macroscopic Li-iondiffusivity. Li vacancies can be introduced through Br doping, which is predicted to result in an order of magnitude larger Li-ionconductivity in β−Li3PS4. Furthermore, the present simulations rationalize the improved Li-ion diffusivity upon O dopingthrough the change in Li distribution in the crystal. Thus, it is demonstrated how a thorough understanding of diffusion, based on thorough analysis of MD simulations, helps to gain insight and develop strategies to improve the ionic conductivity of solid electrolytes.
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Journal article (2017) - Niek de Klerk, Alexandros Vasileiadis, Raymond B. Smith, Martin Z. Bazant, Marnix Wagemaker
The improvement of Li-ion battery performance requires development of models that capture the essential physics and chemistry in Li-ion battery electrode materials. Phase-field modeling has recently been shown to have this ability, providing new opportunities to gain understanding of these complex systems. In this paper, a novel electrochemical phase-field model is presented that captures the thermodynamic and kinetic properties of lithium insertion in TiO2-anatase, a well-known and intensively studied Li-ion battery electrode material. Using a linear combination of two regular solution models, the two phase transitions during lithiation are described as lithiation of two separate lattices with different physical properties. Previous elaborate experimental work on lithiated anatase TiO2 provides all parameters necessary for the phase-field simulations, giving the opportunity to gain fundamental insight in the lithiation of anatase and validate this phase-field model. The phase-field model captures the essential experimentally observed phenomena, rationalizing the impact of C rate, particle size, surface area, and the memory effect on the performance of anatase as a Li-ion battery electrode. Thereby a comprehensive physical picture of the lithiation of anatase TiO2 is provided. The results of the simulations demonstrate that the performance of anatase is limited by the formation of the poor Li-ion diffusion in the Li1TiO2 phase at the surface of the particles. Unlike other electrode materials, the kinetic limitations of individual anatase particles limit the performance of full electrodes. Hence, rather than improving the ionic and electronic network in electrodes, improving the performance of anatase TiO2 electrodes requires preventing the formation of a blocking Li1TiO2 phase at the surface of particles. Additionally, the qualitative agreement of the phase-field model, containing only parameters from literature, with a broad spectrum of experiments demonstrates the capabilities of phase-field models for understanding Li-ion electrode materials, and its promise for guiding the design of electrodes through a thorough understanding of material properties and their interactions. ...
Journal article (2016) - Niek J J De Klerk, Marnix Wagemaker
Density functional theory (DFT) molecular dynamics (MD)-simulations were performed on cubic and tetragonal Na3PS4. The MD simulations show that the Na-conductivity based on the predicted self-diffusion is high in both the cubic and tetragonal phases. Higher Na-ion conductivity in Na3PS4 can be obtained by introducing Na-ion vacancies. Just 2% vacancies result in a conductivity of 0.2 S/cm, which is an order of magnitude larger than the calculated conductivity of the stoichiometric compound. MD simulations of halogen-doped cubic Na3PS4 suggest a practical route to introduce vacancies, where Br-doping is predicted to result in the highest bulk conductivity. Detailed investigation of the Na-ion transitions during the MD simulation reveals the role of vacancies and phonons in the diffusion mechanism. Furthermore, the orders of magnitude difference between the MD simulations and experiments suggest that macroscopic conductivity can be significantly increased by reducing the grain boundary resistance. ...
Journal article (2016) - Niek J J De Klerk, Irek Roslon, Marnix Wagemaker
Using density functional theory molecular dynamics simulations, the origin of the Li-ion conductivity in argyrodite solid electrolytes is investigated. The simulations show that besides Li-ion vacancies in Li6PS5Cl and Li6PS5Br, the influence of halogen atoms on their local surroundings also plays an important role in Li-ion diffusion. The difference in Li-ion conductivity between Li6PS5Cl and Li6PS5I, which is several orders of magnitude, is caused by the distribution of the halogen ions over the available crystallographic sites. This suggests that altering the halogen distribution in Li argyrodites during synthesis could increase the Li-ion conductivity of these materials. For Li6PS5Cl, the simulations predict an optimal Cl distribution of 1:3 over sites 4a and 4c, resulting in a Li-ion conductivity that is 2 times larger than that of the currently prepared materials. On the basis of these results, simulations were performed on Li5PS4X2 (X = Cl, Br, or I), which show Li-ion conductivities similar to those of Li6PS5Cl and Li6PS5Br, suggesting that the Li5PS4X2 compounds are interesting new compositions for solid state electrolytes. ...
Journal article (2016) - Chuang Yu, Swapna Ganapathy, Niek J.J. De Klerk, Ernst R H van Eck, Marnix Wagemaker
Tetragonal and cubic phase Na3PS4 sodium electrolytes were successfully prepared by a relatively low rotation speed mechanical milling (400 rpm) route, aiming at homogeneous materials. The influence of the mechanical milling and annealing on the structure and ionic conductivity are studied by XRD and impedance spectroscopy, giving insight into the optimal mechanical synthesis conditions. Fourier analysis of the XRD data, compared to DFT based MD simulations reflects the diffusion pathway, where the simulations indicate a vacancy induced high bulk Na-ion mobility in both cubic and tetragonal phases. 23Na solid-state NMR relaxation experiments were applied to investigate the Na-ion bulk diffusion in both the cubic and tetragonal phases, showing reasonable agreement with the MD simulation results. The MD simulations indicate that the bulk mobility of both phases may be further improved by introducing more Na vacancies. The macroscopic ionic conductivity probed by impedance spectroscopy is much smaller than that predicted by the bulk Na-ion mobility, in particular for the tetragonal phase, suggesting a large impact of amorphous phase fractions and/or grain boundaries on the macroscopic Na-ion conductivity. In particular in the less crystalline cubic phase, the amorphous fraction present as a consequence of the lower annealing temperature suggests that this phase may lead to a decrease in grain boundary resistance, which may be further exploited to improve the performance of all solid state Na-ion batteries with the Na3PS4 solid electrolyte. ...

Bulk versus Interfaces in an Argyrodite Li6PS5Cl-Li2S All-Solid-State Li-Ion Battery

Journal article (2016) - Chuang Yu, Swapna Ganapathy, Niek J.J. De Klerk, Irek Rosłoń, Ernst R H van Eck, Arno P M Kentgens, Marnix Wagemaker
One of the main challenges of all-solid-state Li-ion batteries is the restricted power density due to the poor Li-ion transport between the electrodes via the electrolyte. However, to establish what diffusional process is the bottleneck for Li-ion transport requires the ability to distinguish the various processes. The present work investigates the Li-ion diffusion in argyrodite Li6PS5Cl, a promising electrolyte based on its high Li-ion conductivity, using a combination of 7Li NMR experiments and DFT based molecular dynamics simulations. This allows us to distinguish the local Li-ion mobility from the long-range Li-ion motional process, quantifying both and giving a coherent and consistent picture of the bulk diffusion in Li6PS5Cl. NMR exchange experiments are used to unambiguously characterize Li-ion transport over the solid electrolyte-electrode interface for the electrolyte-electrode combination Li6PS5Cl-Li2S, giving unprecedented and direct quantitative insight into the impact of the interface on Li-ion charge transport in all-solid-state batteries. The limited Li-ion transport over the Li6PS5Cl-Li2S interface, orders of magnitude smaller compared with that in the bulk Li6PS5Cl, appears to be the bottleneck for the performance of the Li6PS5Cl-Li2S battery, quantifying one of the major challenges toward improved performance of all-solid-state batteries. ...