Electrochemical Multiphysics Modeling

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The research group "Multiphysics Modelling" investigates the following battery types: Lithium ion batteries, post lithium batteries and all-solid state batteries. In order to gain a deeper understanding of the underlying physical, chemical and fluid mechanical processes, the research group Multiphysics Modelling develops theory-based models of interfaces, electrolytes, and electrodes.

The researchers derive mathematical equations for electrochemical processes in batteries from the principles of statistical physics. For example, they simulate ion transport in microstructure-resolved electrodes and optimize entire battery cells in collaboration with experimental research groups. Modeling allows the researchers to gain deep insight into nano-scale processes at interfaces that determine the performance and lifetime of electrochemical energy storage devices.

 

Simon BachhuberPhD StudentTel: +49 (0731) 400198 145Mail: simon.bachhuber(at)dlr.de
Research groupMultiphysics Modelling
Dr. Katharina Becker-SteinbergerScientistTel: +49 (0711) 6862 313Mail: katharina.becker-steinberger(at)dlr.de
Research groupMultiphysics Modelling
Linda BolayPhD StudentTel: +49 (0731) 400198 119Mail: linda.bolay(at)dlr.de
Research groupMultiphysics Modelling
Niklas BorchersPhD StudentTel: +49 (0731) 400198 121Mail: niklas.borchers(at)dlr.de
Research groupMultiphysics Modelling
Svenja BothPhD StudentTel: +49 (0731) 400198127 Mail: svenja.both(at)dlr.de
Research groupMultiphysics Modelling
Lioba BovelethPhD StudentTel: +49 (0731) 400198 138Mail: lioba.boveleth(at)dlr.de
Research groupMultiphysics Modelling
Moritz ClausnitzerPrincipal Investigator (PI)Tel: +49 (0731) 400198 123Mail: moritz.clausnitzer(at)dlr.de
Research groupMultiphysics Modelling
Dr. Timo DannerPhD StudentTel: +49 (0711) 686 208218Mail: timo.danner(at)dlr.de
Research groupMicrostructural Simulations and ApplicationsMultiphysics Modelling
Jan DippellPhD StudentTel: +49 (0731) 400198 122Mail: jan.dippell(at)dlr.de
Research groupMultiphysics Modelling
Britta DopplPhD StudentTel: +49 (0731) 400198 143Mail: britta.doppl(at)dlr.de
Research groupMultiphysics Modelling
Janina DrewsScientistTel: +49 (0731) 400198 120Mail: janina.drews(at)dlr.de
Research groupMultiphysics Modelling
Dr. rer. nat. Simon HeinScientistTel: +49 (0711) 686 28245Mail: simon.hein(at)dlr.de
Research groupMultiphysics Modelling
PD Dr. Birger HorstmannPhD StudentTel: +49 (0711) 686 28254Mail: birger.horstmann(at)dlr.de
Research groupTheory Electrochemical SystemsMultiphysics Modelling
Benjamin KellersPhD StudentTel: +49 (0731) 400198 144Mail: benjamin.kellers(at)dlr.de
Research groupMultiphysics Modelling
Franziska KilchertPhD StudentTel: +49 (0731) 400198 113Mail: franziska.kilchert(at)dlr.de
Research groupMultiphysics Modelling
Tobias KnorrPhD StudentTel: +49 (0731) 400198 131Mail: tobias.knorr(at)dlr.de
Research groupMultiphysics Modelling
Lars von KolzenbergPhD StudentTel: +49 (0731) 400198 139Mail: lars.kolzenberg(at)dlr.de
Research groupMultiphysics Modelling
Lukas KöbbingPhD StudentTel: +49 (0731) 400198 140Mail: lukas.koebbing(at)dlr.de
Research groupMultiphysics Modelling
Lukas KrumbeinPhD StudentTel: +49 (0731) 400198 134Mail: lukas.krumbein(at)dlr.de
Research groupMultiphysics Modelling
Yannick KuhnPhD StudentTel: +49 (0731) 400198 129Mail: yannick.kuhn(at)dlr.de
Research groupMultiphysics Modelling
Lukas LehnertScientistTel: +49 (0731) 400198 133Mail: lukas.lehnert(at)dlr.de
Research groupMultiphysics Modelling
Dr. Martin LautenschlägerTel: +49 (0711) 686 28139Mail: martin.lautenschlaeger(at)dlr.de
Research groupMultiphysics Modelling
Prof. Dr. Arnulf LatzPrincipal Investigator (PI)Tel: +49 (0711) 686 2637Mail: arnulf.latz(at)dlr.de
Research groupMultiphysics Modelling
Daniel MöhrlePhD StudentTel: +49 (0731) 400198 130Mail: daniel.moehrle(at)dlr.de
Research groupMultiphysics Modelling
Anton NeumannPhD StudentTel: +49 (0731) 400198 128Mail: anton.neumann(at)dlr.de
Research groupMultiphysics Modelling
Albert PoolPhD StudentTel: +49 (0731) 400198 135Mail: albert.pool(at)dlr.de
Research groupMultiphysics Modelling
Mrudula PrasadPhD StudentTel: +49 (0731) 400198 142Mail: mrudula.prasad(at)dlr.de
Research groupMultiphysics Modelling
Nireas RigosPhD StudentTel: +49 (0731) 400198 132Mail: nireas.rigos(at)dlr.de
Research groupMultiphysics Modelling
Dr. Max SchammerPhD StudentTel: +49 (0711) 6862 463Mail: max.schammer(at)dlr.de
Research groupMultiphysics Modelling
Constantin SchwetlickPhD StudentTel: +49 (0731) 400198 137Mail: constantin.schwetlick(at)dlr.de
Research groupMultiphysics Modelling
Alejandro SomozaPhD StudentTel: +49 (0731) 400198 146Mail: alejandro.somoza(at)dlr.de
Research groupMultiphysics Modelling
Esther Kezia SimanjuntakPhD StudentTel: +49 (0731) 400198 125Mail: esther.simanjuntak(at)dlr.de
Research groupMultiphysics Modelling
Igor TraskunovPhD StudentTel: +49 (0711) 6862 335Mail: igor.traskunov(at)dlr.de
Research groupMultiphysics Modelling
Julius WeinmillerPhD StudentTel: +49 (0731) 400198 141Mail: julius.weinmiller(at)dlr.de
Research groupMultiphysics Modelling

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Li-Ion Batteries

Standard lithium ion batteries rely on intercalation electrodes, where lithium ions are inserted in a host structure. In this area, the group of electrochemical multiphysics modelling is concentrating its efforts on lithium intercalation batteries and lithium plating.

 

Lithium Ion Batteries

Lithium ion batteries are already in wide use in consumer electronics and automotive applications. Nonetheless there are still areas suitable for optimization and further investigations.

Lithium Ion battery usually consist of two porous electrodes, a porous separator and a current collectors for each electrode. The void space inside of the porous media is filled with an electrolyte, consisting of the conducting salt and solvents. The lithium ions are stored inside of the electrodes, which is the reason why this type of battery is also called lithium insertion battery or lithium intercalation battery. A sketch of a typical lithium ion battery is shown in figure 1.

In our group we develop a 3D continuum model for lithium ion batteries [1–3] further to include degradation mechanisms like lithium plating and the growth of the solid electrolyte interphase. The model is implemented into the software BEST (link to BEST in Method section) [4] and  allows for simulation of various battery geometries together during charge and discharge. It is also possible to simulate electrochemical impedance spectra. In Fig. 2 the current state of a graphite electrode is exemplary shown.

 

Lithium Plating

One of the major degradation mechanisms in lithium ion batteries is the so called lithium plating, during this lithium starts to accumulate as metallic lithium on the surface of the active particles. This mostly happens on the negative electrode (Anode). During operation of batteries at low temperatures (<0 °C) and charging with very high currents, the lithium plating is heavily increased. If this metallic lithium keeps growing and reaches the other electrode, a short circuit is created, which then can lead to thermal runaway and battery failure. Also the growth of the solid electrolyte-interphase (SEI) seems to be enhanced. In our group detailed models, which consider the effects of microstructure and the electrochemical situation at the surfaces of the active materials, are developed to describe and predict the effect of lithium deposition.  

Post-Li Batteries

Conversion reactions save electrode weight and volume and convert more chemical energy by working without a host structure. In this area, the group of electrochemical multiphysics modelling is concentrating its efforts on metal-air as well as metal-sulfur batteries.

 

Metal-air batteries: Lithium-air, zinc-air, silicon-air, …

Metal-air batteries are one of the most exciting candidates for novel energy storage solutions. On the anode side, they make use of highly pact and highly energetic metals, e.g., lithium, sodium, silicon, magnesium; on the cathode side, they make use of the presence of oxygen in air and its huge binding energy with alkaline atoms.

Lithium ions are the prominent charge carrier in today’s batteries. Therefore, lithium-air batteries remain to be in the focus of research. Choosing the right electrolyte is crucial for their development. We contribute to research on lithium-air batteries with aqueous as well as non-aqueous electrolytes on the pore level and the cell level.

In aqueous alkaline electrolytes, lithium ions react with oxygen to form lithium hydroxide. This reaction takes place in a gas diffusion electrode (GDE), where liquid and gas coexist in a porous structure. We developed, parameterized, and validated the electrochemical dynamics within a GDE including the effects of pressure-driven convection and multi-phase coexistence [1,2]. Pressure-driven convection constitutes a step towards consistent transport theories of electrolyte. The microscopic energetic origins of multi-phase coexistence are further explored with Lattice-Boltzmann theory. Lithium hydroxide concentration in alkaline lithium-air batteries is accumulating during discharge until it precipitates. We found out that this precipitation is inhomogeneous due to the intrinsic properties of alkaline electrolytes [1]. Designing battery cells accordingly is necessary to avoid premature cell death. On a microscopic level, we studied the elementary kinetics of the oxygen reduction reaction on the active surfaces  [3].

A second line of our research is devoted to aprotic solvents in lithium-air batteries. On a cell level, we found that slow oxygen transport in flooded electrodes is a limiting factor for power density [4]. On a pore level, we studied the nucleation of lithium peroxide on the active surfaces of the cathode [5]. The discharge product lithium peroxide is found in different morphologies inside lithium air batteries: either it forms films that passivate the active surface, or it forms particles that grow into the electrolyte pore space. In an international collaboration we rationalized that nucleation of lithium peroxide particles happens at discharge currents densities below the exchange current density of the oxygen reduction reaction.

Furthermore, we are performing research on alternative metal-air batteries based upon zinc- or silicon-ions [6]. In analogy to lithium-air batteries, we model spatially inhomogeneous conversion reactions, limiting processes, and crystallization morphologies. It seems advantageous to make use of novel electrolytes, i.e., ion liquids, here. Therefore, we develop a new and consistent transport theory of room temperature ionic liquids.

 

Surface dynamics 

We study interfacial processes on battery anodes. Their understanding is necessary for improving standard lithium ion batteries as well as for realizing novel battery concepts. Graphite as state-of-the-art anode material can only be used because a stable surface film, the solid electrolyte interphase (SEI), is formed that hinders the direct contact between graphite and electrolyte. We model SEI growth and its impact on cell performance. Our model explicitly takes into account the porous SEI structure and its influence on transport processes in the SEI.

Next-generation battery cathodes, however, require novel battery anodes with improved volumetric and gravimetric energy densities. In this respect, metal anodes are perfect candidates for future battery anodes. We model their deposition and dissolution kinetics and optimize them towards homogeneous reaction processes. Lithium metal, for example, is often deposited in needle-like structures, denoted dendrites. Experiments at the HIU show that these dendrites form droplets during their dissolution. This effect would lead to rapid capacity decay in actual batteries. In our simulation, we explain this phenomenon based upon the surface properties of lithium metal and the mechanical strength of the solid electrolyte interphase.

 

The Lithium Sulfur Battery

Lithium-sulfur batteries are considered as potential next generation chemistry replacing Li-Ion technology. It is expected that Li/S-cells will be close to market level in foreseeable time. Up to now several challenges obviated a successful commercialization.

Major issues are the complex electrochemical and transport mechanisms of dissolved polysulfides during charge and discharge of the battery as well as related degradation mechanisms.

In our group we develop detailed physical multi-scale transport and reaction models of lithium-sulfur batteries on a continuum scale. The models allow deep insights into the operation of the battery and possible degradation mechanisms.

 

Reaction and transport in lithium-sulfur batteries

In our group we developed a 1D continuum model for lithium-sulfur batteries including a multi-species transport and a multi-step reaction mechanism. The layout of the model follows the schematic setup shown in Figure 1. The implementation allows the simulation of discharge/charge cycles as well as electrochemical impedance spectra [1]. The model is able to reproduce prominent features of discharge curves and impedance spectra of Li/S-cells. In collaboration with the experimental groups [2] the model was compared to in-situ XRD measurements of the cathode and UV/Vis spectra of dissolved polysulfides. The results agree qualitatively and confirm that the polysulfide concentration is highest right after all sulfur has been dissolved.

Furthermore, the framework is used to evaluate different reaction mechanisms discussed controversially in the literature and can therefore contribute to clarify fundamental issues. Related to this topic we also study the effect of adsorption and desolvation phenomena on the surface of active materials. This important process has been neglected in theoretical articles published in the literature.

In addition to this we are working on a 3D microstructure resolved model for lithium-sulfur batteries to achieve a better understanding of the influence of the cathode structure.

 

Degradation mechanisms

 One of the challenges of current state-of-the-art lithium-sulfur batteries is the relatively fast degradation of cell capacity and a low coulombic efficiency upon cycling. This is related to the so-called ‘polysulfide-shuttle’.

Dissolved polysulfides are able to ‘shuttle’ between cathode and anode. Figure 3 shows a schematic of the suggested mechanism during battery charge. Higher-order polysulfides diffuse from the cathode to the anode. Here, they are again reduced to lower-order polysulfides which are in turn able to diffuse back to the cathode. Moreover, solid lithium sulfides precipitate on the surface of the anode which results in a loss of active material. In our model we developed a reduced kinetic mechanism which qualitatively explains above mentioned effects [3].

 

Structured electrodes

In order to avoid the effects associated with the high solubility of polysulfides a nano-structuring of electrodes has been proposed in the literature. Hollow carbon spheres or CNTs filled with solid sulfur containing material (S8 or Li2S) have been studied as composite material for lithium sulfur batteries. On the one hand the carbon provides an improved electronic conductivity and on the other hand the sulfur is confined within the structure. We develop detailed models taking into account micro-structural effects which also have a strong impact on the overall performance of the battery.

 

All-Solid-State Batteries

All-solid-state cells use a solid electrolyte instead of the conventional liquid electrolytes. Solid electrolytes are non-flammable, resistant to heat, and have a large electrochemical window. This makes solid electrolyte batteries promising candidates for safe, next-generation high-voltage cells of electromobile energy storage systems.

All-solid-state cells use a solid electrolyte instead of the conventional liquid electrolytes. Solid electrolytes are non-flammable, resistant to heat, and have a large electrochemical window. This makes solid electrolyte batteries promising candidates for safe, next-generation high-voltage cells of electromobile energy storage systems.

Today’s lithium-ion cells usually consist of two porous electrodes in a liquid electrolyte flow. Between the electrodes, a separator is located. The liquid electrolyte cannot simply be replaced by a solid electrolyte. Possible designs of solid all-solid-state cells are so-called thin-film cells, in which three thin films are sputtered on top of each other, and thick-film cells that consist of composite electrodes and a solid electrolyte (see Figure 1). Depending on the electrode materials used, all-solid-state cells may be intercalation or conversion cells.

One of the major challenges in the development of all-solid-state cells is their low power density. It is caused by high interface resistances between solid electrolyte and electrodes. To improve power density of all-solid-state batteries, in-depth understanding of interface processes is required.

If the electrolyte and electrodes are in contact, charge redistributions occur until a local equilibrium is reached. At the interface between electrodes and electrolyte, space-charge layers are form. Crystalline solid electrolytes are characterized by a crystal lattice structure. Irregularities and defects in the lattice structure influence material properties, such as electrical conductivity and mechanical stability. In particular, they allow for ionic conductivity of solid electrolytes. Contrary to liquid electrolytes, only lithium ions move by defect transport mechanisms in the lattice structure and contribute to charge transport, while the anion partial lattice is fixed [1]. The developing spatial cation distribution is represented schematically in Figure 1.

Work of our group focuses on the systematic further development of a rigorously derived transport model to describe space-charge layer formation in crystalline solid electrolytes at room temperature [2]. Based on this model, we enhance understanding of the processes taking place in all-solid-state cells and in particular at the interfaces between electrodes and solid electrolyte. Process dynamics is simulated numerically in one and two dimensions. The developing equilibrium was solved semi-analytically in the 1D case [2]. Contrary to conventional cells with liquid electrolytes, the space-charge layers are much wider and asymmetric.

Parameter studies and virtual material modifications show that the width of the space-charge layers depends on both material and geometry. In this way, apparent contradictions in [3] and [4] with respect to the interface resistances can be resolved and explained.

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Clark Simon, Mainar Aroa R., Iruin Elena, Colmenares Luis C., Blázquez J. Alberto, Tolchard Julian R., Latz Arnulf, Horstmann Birger
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Lück Jessica, Latz Arnulf
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Futter Georg A., Latz Arnulf, Jahnke Thomas
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Finsterbusch Martin, Danner Timo, Tsai Chih-Long, Uhlenbruck Sven, Latz Arnulf, Guillon Olivier
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Single Fabian, Latz Arnulf, Horstmann Birger
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Futter G. A., Gazdzicki P., Friedrich K. A., Latz A., Jahnke T.
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Cabañero Maria Angeles, Boaretto Nicola, Röder Manuel, Müller Jana, Kallo Josef, Latz Arnulf
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Hoffmann Viktor, Pulletikurthi Giridhar, Carstens Timo, Lahiri Abhishek, Borodin Andriy, Schammer Max, Horstmann Birger, Latz Arnulf, Endres Frank
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Clark Simon, Latz Arnulf, Horstmann Birger
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Single Fabian, Horstmann Birger, Latz Arnulf
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Stamm Johannes, Varzi Alberto, Latz Arnulf, Horstmann Birger
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Jahnke T., Zago M., Casalegno A., Bessler W. G., Latz A.
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Westhoff Daniel, Feinauer Julian, Kuchler Klaus, Mitsch Tim, Manke Ingo, Hein Simon, Latz Arnulf, Schmidt Volker
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Danner Timo, Eswara Santhana, Schulz Volker P., Latz Arnulf
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Danner Timo, Singh Madhav, Hein Simon, Kaiser Jörg, Hahn Horst, Latz Arnulf
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Single Fabian, Horstmann Birger, Latz Arnulf
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Lück J., Latz A.
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Riegraf Matthias, Schiller Günter, Costa Rémi, Friedrich K. Andreas, Latz Arnulf, Yurkiv Vitaly
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Latz Arnulf, Zausch Jochen
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Lück Jessika, Latz Arnulf
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Hein Simon, Latz Arnulf
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Riegraf M., Yurkiv V., Schiller G., Costa R., Latz A., Friedricha K. A.
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Riegraf M., Schiller G., Costa R., Friedrich K. A., Latz A., Yurkiv V.
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Latz A., Zausch J.
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Danner T., Zhu G., Hofmann A. F., Latz A.
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Braun S., Yada C., Latz A.
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Single Fabian, Karaca Erkmen, Horstmann Birger, Latz Arnulf
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Canas N. A., Fronczek D. N., Wagner N., Latz A., Friedrich K. A.
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Latz A., Zausch J.
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Latz A., Zausch J.
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Latz A., Zausch J.
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Latz A., Horstmann B.
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Latz A.
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Latz A.
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Horstmann B., Gallant B., Mitchell R. R., Bessler W. G., Latz A., Shao-Horn Y., Bazant M. Z.
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Hofmann A. F., Fronczek D. N., Latz A., Bessler W. G.
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Hofmann A. F., Latz A.
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Fronczek D. N., Choi S. E., Latz A., Bessler W. G., Cairns E. J.
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Hofmann A. F., Latz A., Fronczek D. N., Bessler W. G.
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Latz A., Zausch J.
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Hofmann A. F., Latz A., Bessler W. G.
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Hofmann A. F., Latz A., Bessler W. G.
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Members
Simon BachhuberPhD StudentTel: +49 (0731) 400198 145Mail: simon.bachhuber(at)dlr.de
Research groupMultiphysics Modelling
Dr. Katharina Becker-SteinbergerScientistTel: +49 (0711) 6862 313Mail: katharina.becker-steinberger(at)dlr.de
Research groupMultiphysics Modelling
Linda BolayPhD StudentTel: +49 (0731) 400198 119Mail: linda.bolay(at)dlr.de
Research groupMultiphysics Modelling
Niklas BorchersPhD StudentTel: +49 (0731) 400198 121Mail: niklas.borchers(at)dlr.de
Research groupMultiphysics Modelling
Svenja BothPhD StudentTel: +49 (0731) 400198127 Mail: svenja.both(at)dlr.de
Research groupMultiphysics Modelling
Lioba BovelethPhD StudentTel: +49 (0731) 400198 138Mail: lioba.boveleth(at)dlr.de
Research groupMultiphysics Modelling
Moritz ClausnitzerPrincipal Investigator (PI)Tel: +49 (0731) 400198 123Mail: moritz.clausnitzer(at)dlr.de
Research groupMultiphysics Modelling
Dr. Timo DannerPhD StudentTel: +49 (0711) 686 208218Mail: timo.danner(at)dlr.de
Research groupMicrostructural Simulations and ApplicationsMultiphysics Modelling
Jan DippellPhD StudentTel: +49 (0731) 400198 122Mail: jan.dippell(at)dlr.de
Research groupMultiphysics Modelling
Britta DopplPhD StudentTel: +49 (0731) 400198 143Mail: britta.doppl(at)dlr.de
Research groupMultiphysics Modelling
Janina DrewsScientistTel: +49 (0731) 400198 120Mail: janina.drews(at)dlr.de
Research groupMultiphysics Modelling
Dr. rer. nat. Simon HeinScientistTel: +49 (0711) 686 28245Mail: simon.hein(at)dlr.de
Research groupMultiphysics Modelling
PD Dr. Birger HorstmannPhD StudentTel: +49 (0711) 686 28254Mail: birger.horstmann(at)dlr.de
Research groupTheory Electrochemical SystemsMultiphysics Modelling
Benjamin KellersPhD StudentTel: +49 (0731) 400198 144Mail: benjamin.kellers(at)dlr.de
Research groupMultiphysics Modelling
Franziska KilchertPhD StudentTel: +49 (0731) 400198 113Mail: franziska.kilchert(at)dlr.de
Research groupMultiphysics Modelling
Tobias KnorrPhD StudentTel: +49 (0731) 400198 131Mail: tobias.knorr(at)dlr.de
Research groupMultiphysics Modelling
Lars von KolzenbergPhD StudentTel: +49 (0731) 400198 139Mail: lars.kolzenberg(at)dlr.de
Research groupMultiphysics Modelling
Lukas KöbbingPhD StudentTel: +49 (0731) 400198 140Mail: lukas.koebbing(at)dlr.de
Research groupMultiphysics Modelling
Lukas KrumbeinPhD StudentTel: +49 (0731) 400198 134Mail: lukas.krumbein(at)dlr.de
Research groupMultiphysics Modelling
Yannick KuhnPhD StudentTel: +49 (0731) 400198 129Mail: yannick.kuhn(at)dlr.de
Research groupMultiphysics Modelling
Lukas LehnertScientistTel: +49 (0731) 400198 133Mail: lukas.lehnert(at)dlr.de
Research groupMultiphysics Modelling
Dr. Martin LautenschlägerTel: +49 (0711) 686 28139Mail: martin.lautenschlaeger(at)dlr.de
Research groupMultiphysics Modelling
Prof. Dr. Arnulf LatzPrincipal Investigator (PI)Tel: +49 (0711) 686 2637Mail: arnulf.latz(at)dlr.de
Research groupMultiphysics Modelling
Daniel MöhrlePhD StudentTel: +49 (0731) 400198 130Mail: daniel.moehrle(at)dlr.de
Research groupMultiphysics Modelling
Anton NeumannPhD StudentTel: +49 (0731) 400198 128Mail: anton.neumann(at)dlr.de
Research groupMultiphysics Modelling
Albert PoolPhD StudentTel: +49 (0731) 400198 135Mail: albert.pool(at)dlr.de
Research groupMultiphysics Modelling
Mrudula PrasadPhD StudentTel: +49 (0731) 400198 142Mail: mrudula.prasad(at)dlr.de
Research groupMultiphysics Modelling
Nireas RigosPhD StudentTel: +49 (0731) 400198 132Mail: nireas.rigos(at)dlr.de
Research groupMultiphysics Modelling
Dr. Max SchammerPhD StudentTel: +49 (0711) 6862 463Mail: max.schammer(at)dlr.de
Research groupMultiphysics Modelling
Constantin SchwetlickPhD StudentTel: +49 (0731) 400198 137Mail: constantin.schwetlick(at)dlr.de
Research groupMultiphysics Modelling
Alejandro SomozaPhD StudentTel: +49 (0731) 400198 146Mail: alejandro.somoza(at)dlr.de
Research groupMultiphysics Modelling
Esther Kezia SimanjuntakPhD StudentTel: +49 (0731) 400198 125Mail: esther.simanjuntak(at)dlr.de
Research groupMultiphysics Modelling
Igor TraskunovPhD StudentTel: +49 (0711) 6862 335Mail: igor.traskunov(at)dlr.de
Research groupMultiphysics Modelling
Julius WeinmillerPhD StudentTel: +49 (0731) 400198 141Mail: julius.weinmiller(at)dlr.de
Research groupMultiphysics Modelling
Research

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Li-Ion Batteries

Standard lithium ion batteries rely on intercalation electrodes, where lithium ions are inserted in a host structure. In this area, the group of electrochemical multiphysics modelling is concentrating its efforts on lithium intercalation batteries and lithium plating.

 

Lithium Ion Batteries

Lithium ion batteries are already in wide use in consumer electronics and automotive applications. Nonetheless there are still areas suitable for optimization and further investigations.

Lithium Ion battery usually consist of two porous electrodes, a porous separator and a current collectors for each electrode. The void space inside of the porous media is filled with an electrolyte, consisting of the conducting salt and solvents. The lithium ions are stored inside of the electrodes, which is the reason why this type of battery is also called lithium insertion battery or lithium intercalation battery. A sketch of a typical lithium ion battery is shown in figure 1.

In our group we develop a 3D continuum model for lithium ion batteries [1–3] further to include degradation mechanisms like lithium plating and the growth of the solid electrolyte interphase. The model is implemented into the software BEST (link to BEST in Method section) [4] and  allows for simulation of various battery geometries together during charge and discharge. It is also possible to simulate electrochemical impedance spectra. In Fig. 2 the current state of a graphite electrode is exemplary shown.

 

Lithium Plating

One of the major degradation mechanisms in lithium ion batteries is the so called lithium plating, during this lithium starts to accumulate as metallic lithium on the surface of the active particles. This mostly happens on the negative electrode (Anode). During operation of batteries at low temperatures (<0 °C) and charging with very high currents, the lithium plating is heavily increased. If this metallic lithium keeps growing and reaches the other electrode, a short circuit is created, which then can lead to thermal runaway and battery failure. Also the growth of the solid electrolyte-interphase (SEI) seems to be enhanced. In our group detailed models, which consider the effects of microstructure and the electrochemical situation at the surfaces of the active materials, are developed to describe and predict the effect of lithium deposition.  

Post-Li Batteries

Conversion reactions save electrode weight and volume and convert more chemical energy by working without a host structure. In this area, the group of electrochemical multiphysics modelling is concentrating its efforts on metal-air as well as metal-sulfur batteries.

 

Metal-air batteries: Lithium-air, zinc-air, silicon-air, …

Metal-air batteries are one of the most exciting candidates for novel energy storage solutions. On the anode side, they make use of highly pact and highly energetic metals, e.g., lithium, sodium, silicon, magnesium; on the cathode side, they make use of the presence of oxygen in air and its huge binding energy with alkaline atoms.

Lithium ions are the prominent charge carrier in today’s batteries. Therefore, lithium-air batteries remain to be in the focus of research. Choosing the right electrolyte is crucial for their development. We contribute to research on lithium-air batteries with aqueous as well as non-aqueous electrolytes on the pore level and the cell level.

In aqueous alkaline electrolytes, lithium ions react with oxygen to form lithium hydroxide. This reaction takes place in a gas diffusion electrode (GDE), where liquid and gas coexist in a porous structure. We developed, parameterized, and validated the electrochemical dynamics within a GDE including the effects of pressure-driven convection and multi-phase coexistence [1,2]. Pressure-driven convection constitutes a step towards consistent transport theories of electrolyte. The microscopic energetic origins of multi-phase coexistence are further explored with Lattice-Boltzmann theory. Lithium hydroxide concentration in alkaline lithium-air batteries is accumulating during discharge until it precipitates. We found out that this precipitation is inhomogeneous due to the intrinsic properties of alkaline electrolytes [1]. Designing battery cells accordingly is necessary to avoid premature cell death. On a microscopic level, we studied the elementary kinetics of the oxygen reduction reaction on the active surfaces  [3].

A second line of our research is devoted to aprotic solvents in lithium-air batteries. On a cell level, we found that slow oxygen transport in flooded electrodes is a limiting factor for power density [4]. On a pore level, we studied the nucleation of lithium peroxide on the active surfaces of the cathode [5]. The discharge product lithium peroxide is found in different morphologies inside lithium air batteries: either it forms films that passivate the active surface, or it forms particles that grow into the electrolyte pore space. In an international collaboration we rationalized that nucleation of lithium peroxide particles happens at discharge currents densities below the exchange current density of the oxygen reduction reaction.

Furthermore, we are performing research on alternative metal-air batteries based upon zinc- or silicon-ions [6]. In analogy to lithium-air batteries, we model spatially inhomogeneous conversion reactions, limiting processes, and crystallization morphologies. It seems advantageous to make use of novel electrolytes, i.e., ion liquids, here. Therefore, we develop a new and consistent transport theory of room temperature ionic liquids.

 

Surface dynamics 

We study interfacial processes on battery anodes. Their understanding is necessary for improving standard lithium ion batteries as well as for realizing novel battery concepts. Graphite as state-of-the-art anode material can only be used because a stable surface film, the solid electrolyte interphase (SEI), is formed that hinders the direct contact between graphite and electrolyte. We model SEI growth and its impact on cell performance. Our model explicitly takes into account the porous SEI structure and its influence on transport processes in the SEI.

Next-generation battery cathodes, however, require novel battery anodes with improved volumetric and gravimetric energy densities. In this respect, metal anodes are perfect candidates for future battery anodes. We model their deposition and dissolution kinetics and optimize them towards homogeneous reaction processes. Lithium metal, for example, is often deposited in needle-like structures, denoted dendrites. Experiments at the HIU show that these dendrites form droplets during their dissolution. This effect would lead to rapid capacity decay in actual batteries. In our simulation, we explain this phenomenon based upon the surface properties of lithium metal and the mechanical strength of the solid electrolyte interphase.

 

The Lithium Sulfur Battery

Lithium-sulfur batteries are considered as potential next generation chemistry replacing Li-Ion technology. It is expected that Li/S-cells will be close to market level in foreseeable time. Up to now several challenges obviated a successful commercialization.

Major issues are the complex electrochemical and transport mechanisms of dissolved polysulfides during charge and discharge of the battery as well as related degradation mechanisms.

In our group we develop detailed physical multi-scale transport and reaction models of lithium-sulfur batteries on a continuum scale. The models allow deep insights into the operation of the battery and possible degradation mechanisms.

 

Reaction and transport in lithium-sulfur batteries

In our group we developed a 1D continuum model for lithium-sulfur batteries including a multi-species transport and a multi-step reaction mechanism. The layout of the model follows the schematic setup shown in Figure 1. The implementation allows the simulation of discharge/charge cycles as well as electrochemical impedance spectra [1]. The model is able to reproduce prominent features of discharge curves and impedance spectra of Li/S-cells. In collaboration with the experimental groups [2] the model was compared to in-situ XRD measurements of the cathode and UV/Vis spectra of dissolved polysulfides. The results agree qualitatively and confirm that the polysulfide concentration is highest right after all sulfur has been dissolved.

Furthermore, the framework is used to evaluate different reaction mechanisms discussed controversially in the literature and can therefore contribute to clarify fundamental issues. Related to this topic we also study the effect of adsorption and desolvation phenomena on the surface of active materials. This important process has been neglected in theoretical articles published in the literature.

In addition to this we are working on a 3D microstructure resolved model for lithium-sulfur batteries to achieve a better understanding of the influence of the cathode structure.

 

Degradation mechanisms

 One of the challenges of current state-of-the-art lithium-sulfur batteries is the relatively fast degradation of cell capacity and a low coulombic efficiency upon cycling. This is related to the so-called ‘polysulfide-shuttle’.

Dissolved polysulfides are able to ‘shuttle’ between cathode and anode. Figure 3 shows a schematic of the suggested mechanism during battery charge. Higher-order polysulfides diffuse from the cathode to the anode. Here, they are again reduced to lower-order polysulfides which are in turn able to diffuse back to the cathode. Moreover, solid lithium sulfides precipitate on the surface of the anode which results in a loss of active material. In our model we developed a reduced kinetic mechanism which qualitatively explains above mentioned effects [3].

 

Structured electrodes

In order to avoid the effects associated with the high solubility of polysulfides a nano-structuring of electrodes has been proposed in the literature. Hollow carbon spheres or CNTs filled with solid sulfur containing material (S8 or Li2S) have been studied as composite material for lithium sulfur batteries. On the one hand the carbon provides an improved electronic conductivity and on the other hand the sulfur is confined within the structure. We develop detailed models taking into account micro-structural effects which also have a strong impact on the overall performance of the battery.

 

All-Solid-State Batteries

All-solid-state cells use a solid electrolyte instead of the conventional liquid electrolytes. Solid electrolytes are non-flammable, resistant to heat, and have a large electrochemical window. This makes solid electrolyte batteries promising candidates for safe, next-generation high-voltage cells of electromobile energy storage systems.

All-solid-state cells use a solid electrolyte instead of the conventional liquid electrolytes. Solid electrolytes are non-flammable, resistant to heat, and have a large electrochemical window. This makes solid electrolyte batteries promising candidates for safe, next-generation high-voltage cells of electromobile energy storage systems.

Today’s lithium-ion cells usually consist of two porous electrodes in a liquid electrolyte flow. Between the electrodes, a separator is located. The liquid electrolyte cannot simply be replaced by a solid electrolyte. Possible designs of solid all-solid-state cells are so-called thin-film cells, in which three thin films are sputtered on top of each other, and thick-film cells that consist of composite electrodes and a solid electrolyte (see Figure 1). Depending on the electrode materials used, all-solid-state cells may be intercalation or conversion cells.

One of the major challenges in the development of all-solid-state cells is their low power density. It is caused by high interface resistances between solid electrolyte and electrodes. To improve power density of all-solid-state batteries, in-depth understanding of interface processes is required.

If the electrolyte and electrodes are in contact, charge redistributions occur until a local equilibrium is reached. At the interface between electrodes and electrolyte, space-charge layers are form. Crystalline solid electrolytes are characterized by a crystal lattice structure. Irregularities and defects in the lattice structure influence material properties, such as electrical conductivity and mechanical stability. In particular, they allow for ionic conductivity of solid electrolytes. Contrary to liquid electrolytes, only lithium ions move by defect transport mechanisms in the lattice structure and contribute to charge transport, while the anion partial lattice is fixed [1]. The developing spatial cation distribution is represented schematically in Figure 1.

Work of our group focuses on the systematic further development of a rigorously derived transport model to describe space-charge layer formation in crystalline solid electrolytes at room temperature [2]. Based on this model, we enhance understanding of the processes taking place in all-solid-state cells and in particular at the interfaces between electrodes and solid electrolyte. Process dynamics is simulated numerically in one and two dimensions. The developing equilibrium was solved semi-analytically in the 1D case [2]. Contrary to conventional cells with liquid electrolytes, the space-charge layers are much wider and asymmetric.

Parameter studies and virtual material modifications show that the width of the space-charge layers depends on both material and geometry. In this way, apparent contradictions in [3] and [4] with respect to the interface resistances can be resolved and explained.

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Simanjuntak Esther Kezia, Danner Timo, Wang Peiwen, Buchmeiser Michael R., Latz Arnulf
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Waldmann Thomas, Hogrefe Christin, Flügel Marius, Pivarníková Ivana, Weisenberger Christian, Delz Estefane, Bolsinger Marius, Boveleth Lioba, Paul Neelima, Kasper Michael, Feinauer Max, Schäfer Robin, Bischof Katharina, Danner Timo, Knoblauch Volker, Müller-Buschbaum Peter, Gilles Ralph, Latz Arnulf, Hölzle Markus, Wohlfahrt-Mehrens Margret
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Clausnitzer Moritz, Ihrig Martin, Cressa Luca, Hein Simon, Finsterbusch Martin, Eswara Santhana, Kuo Liang-Yin, Danner Timo, Kaghazchi Payam, Fattakhova-Rohlfing Dina, Guillon Olivier, Latz Arnulf
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Weinmiller J., Lautenschlaeger M. P., Kellers B., Danner T., Latz A.
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Clausnitzer Moritz, Danner Timo, Prifling Benedikt, Neumann Matthias, Schmidt Volker, Latz Arnulf
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Kilchert Franziska, Schammer Max, Latz Arnulf, Horstmann Birger
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Lehnert Lukas, Nojabaee Maryam, Latz Arnulf, Horstmann Birger
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Köbbing Lukas, Latz Arnulf, Horstmann Birger
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Clausnitzer Moritz, Mücke Robert, Al-Jaljouli Fadi, Hein Simon, Finsterbusch Martin, Danner Timo, Fattakhova-Rohlfing Dina, Guillon Olivier, Latz Arnulf
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Zoerr C., Sturm J. J., Solchenbach S., Erhard S. V., Latz A.
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Nguyen Huy Sy, Latz Arnulf
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Kilchert Franziska, Lorenz Martin, Schammer Max, Nürnberg Pinchas, Schönhoff Monika, Latz Arnulf, Horstmann Birger
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Dlugatch Ben, Drews Janina, Attias Ran, Gavriel Bar, Ambar Adar, Danner Timo, Latz Arnulf, Aurbach Doron
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Stadler Jochen, Groch Timm Konstantin, García Miguel, Storch Mathias, Fath Johannes, Ecker Madeleine, Latz Arnulf
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Werres Martin, Xu Yaobin, Jia Hao, Wang Chongmin, Xu Wu, Latz Arnulf, Horstmann Birger
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Drews Janina, Wiedemann Johannes, Maça Alaluf Rudi Ruben, Wang Liping, Blázquez J. Alberto, Zhao-Karger Zhirong, Fichtner Maximilian, Danner Timo, Latz Arnulf
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Schneider Christian, Schmidt Christoph P., Neumann Anton, Clausnitzer Moritz, Sadowski Marcel, Harm Sascha, Meier Christoph, Danner Timo, Albe Karsten, Latz Arnulf, Wall Wolfgang A., Lotsch Bettina V.
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Horstmann Birger, Köbbing Lukas, Latz Arnulf
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Sarkezi-Selsky Patrick, Schmies Henrike, Latz Arnulf, Jahnke Thomas
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Clausnitzer Moritz, Mücke Robert, Al-Jaljouli Fadi, Hein Simon, Finsterbusch Martin, Danner Timo, Fattakhova-Rohlfing Dina, Guillon Olivier, Latz Arnulf
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Kellers Benjamin, Lautenschlaeger Martin P., Rigos Nireas, Weinmiller Julius, Danner Timo, Latz Arnulf
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Clausnitzer Moritz, Danner Timo, Prifling Benedikt, Neumann Matthias, Schmidt Volker, Latz Arnulf
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Lautenschlaeger Martin P., Weinmiller Julius, Kellers Benjamin, Danner Timo, Latz Arnulf
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Traskunov Igor, Latz Arnulf
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von Kolzenberg Lars, Stadler Jochen, Fath Johannes, Ecker Madeleine, Horstmann Birger, Latz Arnulf
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Sarkezi-Selsky Patrick, Schmies Henrike, Kube Alexander, Latz Arnulf, Jahnke Thomas
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Ates Tugce, Neumann Anton, Danner Timo, Latz Arnulf, Zarrabeitia Maider, Stepien Dominik, Varzi Alberto, Passerini Stefano
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Lautenschlaeger Martin P., Weinmiller Julius, Kellers Benjamin, Danner Timo, Latz Arnulf
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Schammer Max, Latz Arnulf, Horstmann Birger
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Schammer Max, Latz Arnulf, Horstmann Birger
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Wegener Julian, Ho Levin Chee Xian, Glavas Vedran, Mueller Jonathan Edward, Höhn Sören, Clausner André, Latz Arnulf
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Kolzenberg Lars, Latz Arnulf, Horstmann Birger
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Amici J., Asinari P., Ayerbe E., Barboux P., Bayle-Guillemaud P., Behm R. J., Berecibar M., Berg E., Bhowmik A., Bodoardo S., Castelli I. E., Cekic-Laskovic I., Christensen R., Clark S., Diehm R., Dominko R., Fichtner M., Franco A. A., Grimaud A., Guillet N., Hahlin M., Hartmann S., Heiries V., Hermansson K., Heuer A., Jana S., Jabbour L., Kallo J., Latz A., Lorrmann H., Løvvik O. M., Lyonnard S., Meeus M., Paillard E., Perraud S., Placke T., Punckt C., Raccurt O., Ruhland J., Sheridan E., Stein H., Tarascon J.-M., Trapp V., Vegge T., Weil M., Wenzel W., Winter M., Wolf A., Edström K.
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Lautenschlaeger Martin P., Prifling Benedikt, Kellers Benjamin, Weinmiller Julius, Danner Timo, Schmidt Volker, Latz Arnulf
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Knorr Tobias, Hein Simon, Prifling Benedikt, Neumann Matthias, Danner Timo, Schmidt Volker, Latz Arnulf
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De Lauri Vittorio, Krumbein Lukas, Hein Simon, Prifling Benedikt, Schmidt Volker, Danner Timo, Latz Arnulf
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Drews Janina, Jankowski Piotr, Häcker Joachim, Li Zhenyou, Danner Timo, García Lastra Juan Maria, Vegge Tejs, Wagner Norbert, Friedrich K. Andreas, Zhao-Karger Zhirong, Fichtner Maximilian, Latz Arnulf
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Horstmann Birger, Shi Jiayan, Amine Rachid, Werres Martin, He Xin, Jia Hao, Hausen Florian, Cekic-Laskovic Isidora, Wiemers-Meyer Simon, Lopez Jeffrey, Galvez-Aranda Diego, Baakes Florian, Bresser Dominic, Su Chi-Cheung, Xu Yaobin, Xu Wu, Jakes Peter, Eichel Rüdiger-A., Figgemeier Egbert, Krewer Ulrike, Seminario Jorge M., Balbuena Perla B., Wang Chongmin, Passerini Stefano, Shao-Horn Yang, Winter Martin, Amine Khalil, Kostecki Robert, Latz Arnulf
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Traskunov Igor, Latz Arnulf
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Traskunov Igor, Latz Arnulf
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Schammer Max, Horstmann Birger, Latz Arnulf
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Castelli Giuseppe F., Kolzenberg Lars von, Horstmann Birger, Latz Arnulf, Dörfler Willy
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He X., Bresser D., Passerini S., Baakes F., Krewer U., Lopez J., Mallia C. T., Shao-Horn Y., Cekic-Laskovic I., Wiemers-Meyer S., Soto F. A., Ponce V., Seminario J. M., Balbuena P. B., Jia H., Xu W., Xu Y., Wang C., Horstmann B., Amine R., Su C.-C., Shi J., Amine K., Winter M., Latz A., Kostecki R.
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Zeitschriftenaufsatz
Hogrefe Christin, Hein Simon, Waldmann Thomas, Danner Timo, Richter Karsten, Latz Arnulf, Wohlfahrt-Mehrens Margret
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Zeitschriftenaufsatz
Richter R., Häcker J., Zhao-Karger Z., Danner T., Wagner N., Fichtner M., Friedrich K. A., Latz A.
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Zeitschriftenaufsatz
Hein Simon, Danner Timo, Latz Arnulf
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Zeitschriftenaufsatz
Kolzenberg Lars, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Drews Janina, Danner Timo, Jankowski Piotr, Vegge Tejs, García Lastra Juan Maria, Liu Runyu, Zhao-Karger Zhirong, Fichtner Maximilian, Latz Arnulf
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Zeitschriftenaufsatz
Kremer Lea Sophie, Hoffmann Alice, Danner Timo, Hein Simon, Prifling Benedikt, Westhoff Daniel, Dreer Christian, Latz Arnulf, Schmidt Volker, Wohlfahrt-Mehrens Margret
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Zeitschriftenaufsatz
Schmitt Tobias, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Hein Simon, Danner Timo, Westhoff Daniel, Prifling Benedikt, Scurtu Rares, Kremer Lea, Hoffmann Alice, Hilger André, Osenberg Markus, Manke Ingo, Wohlfahrt-Mehrens Margret, Schmidt Volker, Latz Arnulf
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Zeitschriftenaufsatz
Neumann Anton, Randau Simon, Becker-Steinberger Katharina, Danner Timo, Hein Simon, Ning Ziyang, Marrow James, Richter Felix H., Janek Jürgen, Latz Arnulf
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Forschungsbericht
Edström Kristina, Dominko Robert, Fichtner Maximilian, Otuszewski Thomas, Perraud Simon, Punckt Christian, Tarascon Jean-Marie, Vegge Tejs, Winter Martin, Asinari Pieitro, Castelli Ivano Eligio, Chistensen Rune, Clark Simon, Grimaud Alexis, Hermansson Kersti, Heuer Andreas, Lorrmann Henning, Løvvik Ole Martin, Vegge Tejs, Wenzel Wolfgang, Bayle-Guillemaud Pascal, Behm Jürgen, Berg Erik, Grimaud Alexis, Hahlin Maria, Hartmann Sara, Latz Arnulf, Lyonnard Sandrine, Amici Julia, Berecibar Maitane, Bodoardo Silvia, Jabbour Lara, Kallo Josef, Paillard Elie-Elyssée, Raccurt Olivier, Heiries Vincent, Guillet Nicolas, Van Laethem Dries, Ayerbe Elixabete, Berecibar Maitane, Diehm Ralf, Hofmann Janna, Lorrmann Henning, Miguel Oscar, Placke Tobias, Sheridan Edel, Barboux Philippe, Chanson Claude, Jacques Philippe, Meeus Marcel, Trapp Victor, Weil Marcel
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Zeitschriftenaufsatz
Single Fabian, Horstmann Birger, Latz Arnulf
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Zeitschriftenaufsatz
Danner Timo, Latz Arnulf
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Zeitschriftenaufsatz
Schmitt Tobias, Arlt Tobias, Manke Ingo, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Latz Arnulf, Danner Timo, Horstmann Birger, Jahnke Thomas
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Zeitschriftenaufsatz
Westhoff Daniel, Danner Timo, Hein Simon, Scurtu Rares, Kremer Lea, Hoffmann Alice, Hilger André, Manke Ingo, Wohlfahrt-Mehrens Margret, Latz Arnulf, Schmidt Volker
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Zeitschriftenaufsatz
Angeles Cabañero Maria, Altmann Johannes, Gold Lukas, Boaretto Nicola, Müller Jana, Hein Simon, Zausch Jochen, Kallo Josef, Latz Arnulf
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Zeitschriftenaufsatz
Feinauer Julian, Hein Simon, Rave Stephan, Schmidt Sebastian, Westhoff Daniel, Zausch Jochen, Iliev Oleg, Latz Arnulf, Ohlberger Mario, Schmidt Volker
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Zeitschriftenaufsatz
Horstmann Birger, Single Fabian, Latz Arnulf
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Zeitschriftenaufsatz
Clark Simon, Mainar Aroa R., Iruin Elena, Colmenares Luis C., Blázquez J. Alberto, Tolchard Julian R., Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Lück Jessica, Latz Arnulf
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Zeitschriftenaufsatz
Futter Georg A., Latz Arnulf, Jahnke Thomas
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Zeitschriftenaufsatz
Finsterbusch Martin, Danner Timo, Tsai Chih-Long, Uhlenbruck Sven, Latz Arnulf, Guillon Olivier
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Zeitschriftenaufsatz
Single Fabian, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Futter G. A., Gazdzicki P., Friedrich K. A., Latz A., Jahnke T.
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Zeitschriftenaufsatz
Cabañero Maria Angeles, Boaretto Nicola, Röder Manuel, Müller Jana, Kallo Josef, Latz Arnulf
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Zeitschriftenaufsatz
Hoffmann Viktor, Pulletikurthi Giridhar, Carstens Timo, Lahiri Abhishek, Borodin Andriy, Schammer Max, Horstmann Birger, Latz Arnulf, Endres Frank
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Zeitschriftenaufsatz
Clark Simon, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Single Fabian, Horstmann Birger, Latz Arnulf
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Zeitschriftenaufsatz
Stamm Johannes, Varzi Alberto, Latz Arnulf, Horstmann Birger
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Zeitschriftenaufsatz
Jahnke T., Zago M., Casalegno A., Bessler W. G., Latz A.
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Zeitschriftenaufsatz
Westhoff Daniel, Feinauer Julian, Kuchler Klaus, Mitsch Tim, Manke Ingo, Hein Simon, Latz Arnulf, Schmidt Volker
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Zeitschriftenaufsatz
Danner Timo, Eswara Santhana, Schulz Volker P., Latz Arnulf
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Zeitschriftenaufsatz
Danner Timo, Singh Madhav, Hein Simon, Kaiser Jörg, Hahn Horst, Latz Arnulf
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Zeitschriftenaufsatz
Single Fabian, Horstmann Birger, Latz Arnulf
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Zeitschriftenaufsatz
Lück J., Latz A.
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Zeitschriftenaufsatz
Riegraf Matthias, Schiller Günter, Costa Rémi, Friedrich K. Andreas, Latz Arnulf, Yurkiv Vitaly
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Zeitschriftenaufsatz
Latz Arnulf, Zausch Jochen
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Zeitschriftenaufsatz
Lück Jessika, Latz Arnulf
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Zeitschriftenaufsatz
Hein Simon, Latz Arnulf
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Zeitschriftenaufsatz
Riegraf M., Yurkiv V., Schiller G., Costa R., Latz A., Friedricha K. A.
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Zeitschriftenaufsatz
Riegraf M., Schiller G., Costa R., Friedrich K. A., Latz A., Yurkiv V.
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Zeitschriftenaufsatz
Latz A., Zausch J.
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Zeitschriftenaufsatz
Danner T., Zhu G., Hofmann A. F., Latz A.
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Zeitschriftenaufsatz
Braun S., Yada C., Latz A.
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Zeitschriftenaufsatz
Single Fabian, Karaca Erkmen, Horstmann Birger, Latz Arnulf
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Zeitschriftenaufsatz
Canas N. A., Fronczek D. N., Wagner N., Latz A., Friedrich K. A.
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Poster
Latz A., Zausch J.
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Poster
Latz A., Zausch J.
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Poster
Latz A., Zausch J.
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Poster
Latz A., Horstmann B.
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Poster
Latz A.
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Poster
Latz A.
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Poster
Horstmann B., Gallant B., Mitchell R. R., Bessler W. G., Latz A., Shao-Horn Y., Bazant M. Z.
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Poster
Hofmann A. F., Fronczek D. N., Latz A., Bessler W. G.
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Poster
Hofmann A. F., Latz A.
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Poster
Fronczek D. N., Choi S. E., Latz A., Bessler W. G., Cairns E. J.
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Poster
Hofmann A. F., Latz A., Fronczek D. N., Bessler W. G.
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Zeitschriftenaufsatz
Latz A., Zausch J.
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Poster
Hofmann A. F., Latz A., Bessler W. G.
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Poster
Hofmann A. F., Latz A., Bessler W. G.
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Group Facts