Stories about exploding smart phones or burning e-bike or e-car batteries occasionally make the headlines. Even if it does not happen as often as it seems, lithium-ion batteries, which are used very frequently, pose a certain danger. "They are susceptible to malfunctioning, which can sometimes be severe and lead to them catching fire and exploding. One promising alternative is to replace the flammable liquid electrolytes contained in batteries with safer solid-state electrolytes," says Blazej Grabowski, Professor at the Institute for Materials Science at the University of Stuttgart. He and his team want to improve these novel electrolytes and are conducting research on the question of what materials can be used for the electrolytes.
In materials science, ab initio refers to a method based on fundamental physical principles for investigating materials and their properties. Ab initio computations do not require experimental input, but solve quantum mechanical equations in order to predict the structure, energy, and other properties of a material. This method makes it possible to understand and model the behavior of materials at the atomic level without having to rely on experimental observations.
To this end, he, Dr. Yuji Ikeda, and early-career researcher Yongliang Ou are investigating the material at the atomic level using ab initio methods. "If we charge or discharge a battery, then processes at the atomic level are relevant. Positively charged lithium ions move back and forth between the cathode and the anode. In one direction, when the battery is being charged, and in the other direction, when it is being discharged," Grabowski explains. This causes the material to fatigue and break over time.
Using quantum mechanical theories and principles, the scientists were able to simulate how lithium ions move through the crystal lattice. "If you are on the scale where electrons are buzzing around atomic nuclei and the fundamental bonds in the material are being formed, then there is no way around quantum mechanics," says Grabowski. A quantum is the smallest, indivisible quantity of a physical unit.
Simulating the behavior of a million atoms
Using the principles of quantum mechanics and with the help of machine learning, the scientists have now been able to extend the simulation from a few hundred to a million atoms. "You just have to imagine how many atoms there are in a small cubic millimeter of a material. That's about one million atoms in each direction, that is one million to the power of three. That's actually unimaginable," says Grabowski.
Fortunately, you do not have to simulate this unimaginable number of atoms directly. The now achievable number of one million atoms already makes it possible to simulate the determinative defects in crystals with nearly ab initio accuracy. These defects have a very strong influence on the material behavior.
Grain boundary in a crystal lattice: The grain boundary runs centrally from bottom to top and also extends into the dimension out of the paper plane.
- Grain boundaries are two-dimensional lattice defects that connect two crystals of the same atomic structure but with different orientations.
- Dislocations are one-dimensional defects in a crystal lattice, in which the regular arrangement of atoms along a line is disturbed. Typically, dislocations occur in metals and enable their plastic deformation.
- Vacancies or empty spaces are zero-dimensional point defects in crystals. Put more simply, atoms are missing in places where they should actually be according to the crystal structure. Vacancies allow atoms to move through the crystal lattice.
However, several orders of magnitude have to be bridged before scientists can simulate the behavior from the atom to the respective application. To this end, they are developing suitable methods within a so-called multi-scale approach. This can be used to bridge the different orders of magnitude and physical worlds across many scales in the simulation. For example, in order to investigate the lithium movement on the micro and millimeter scales, the results from the atomistic simulations are passed on to SimTech colleagues Professor Felix Fritzen and early career researcher Lena Scholz from the continuum area. Here, too, machine learning approaches are helpful.
"The potential of machine learning is extremely important when bridging the scales. Ab initio computations are not new. However, it was only with the help of machine learning that we were able to bring the accuracy of the ab initio method to a larger scale to simulate, for example, lithium diffusion through a complex crystal with defects," explains Blazej Grabowski. Conventional ab initio methods can simulate only a few hundred atoms, as the simulations require an extremely large amount of computing power. Machine learning – especially in the form of so-called machine-learning interatomic potentials – reduces the necessary computing power and the time required. With this approach, the scientists have succeeded in simulating the behavior of up to one million atoms with a high degree of accuracy.
The multi-scale approach is illustrated using a simplified model for a solid-state lithium-ion battery: Starting with ab initio methods (far right), we are on the atomic scale with lengths typically expressed in Ångström (Å). One Å corresponds to one ten millionth of a millimeter. The relevant unit of time in this area is a femtosecond, that is a quadrillionth of a second. If you move on the polycrystalline scale (second picture from the right), you usually use micrometers (µm). One micrometer corresponds to 0.001 millimeters, and the unit of time is the millisecond, i.e., 0.001 seconds. If we move to the level of a single battery cell (second picture from the left), the natural units are the millimeter and the second. The largest scale is the "tangible" level of the application, here the battery on the far left, with the natural units of meters and hours.
Simulation of high-tech materials for aircraft turbines
In order to improve materials, it is essential to precisely understand the interaction between the individual atoms. These interactions determine, for example, the strongly temperature-dependent movement of dislocations, which in turn are responsible for the plastic deformation of materials. "For example, if you manage to make aircraft turbines operate at slightly higher temperatures, you can increase efficiency. Just a few degrees more that the materials in the turbine are able to withstand, can have a positive effect on fuel and therefore energy consumption," says Grabowski.
Nickel-based superalloys, for example, which are incorporated in the innermost turbine blades, have to withstand extremely high temperatures and pressures over long periods of time and over many cycles, so that the material does not simply melt away or deform. "These are fantastic high-tech materials that are used in turbines. They are not new in principle, but the exact processes that contribute to the unique material properties are not fully understood," says Grabowski. Together with Dr. Xi Zhang and early-career researcher Xiang Xu, he was able to contribute to a better understanding of the material behavior on the atomic scale with simulations of complex dislocations. This understanding is valuable for the further optimization and design of new materials for such extreme applications.
The image shows a complex dislocation in the material Ni3Al, which contributes fundamentally to the unique material properties of Ni superalloys. The atoms shown lie within the so-called dislocation core, which contains various structural components that can be identified by the different colors.
The scientists continuously check whether their simulations are transferable into practice by comparing them with experimental data from the scientific literature. "Even the ab initio methods contain approximations whose effects need to be carefully checked. Improvements in the approximations make it possible to achieve increasingly reliable results and to reproduce or predict experiments more accurately," says Grabowski. If experimental data on certain properties is not yet available, the scientists cooperate with other researchers from science and industry to obtain it.
However, he and his team do not work on real aircraft turbines – they leave that to the engineers. "We only work on the individual materials that later make up a turbine. The engineers who assemble the turbine need to know up to what temperature the material is durable and choose the optimum material based on various criteria." With their basic research, Blazej Grabowski and his team provide the input that the engineers need. With their simulations, the scientists contribute to a deeper understanding of the processes on the atomic scale and thus lay the foundation for the next generation of functional and structural materials.
Manuela Mild | SimTech Science Communication
Read more
Gubaev, V. Zaverkin, P. Srinivasan, A. I. Duff, J. Kästner, and B. Grabowski. “Performance of two complementary machine-learned potentials in modelling chemically complex systems”. In: npj Computational Materials 9 (2023), p. 129. DOI: 10.1038/s41524-023-01073-w
Ou, Y. Ikeda, L. Scholz, S. Divinski, F. Fritzen, B. Grabowski. „Atomistic modeling of bulk and grain boundary diffusion in solid electrolyte Li6PS5Cl using machine-learning interatomic potentials” (2024). DOI: 10.48550/arXiv.2407.04126
Xu, X. Zhang, E. Bitzek, S. Schmauder, and B. Grabowski. “Origin of the yield stress anomaly in L12 intermetallics unveiled with physically-informed machine-learning potentials” (2024). DOI: 10.48550/arXiv.2406.04948
H. Jung, P. Srinivasan, A. Forslund, and B. Grabowski. “High-accuracy thermodynamic properties to the melting point from ab initio calculations aided by machine-learning potentials”. In: npj Computational Materials 9 (2023), p. 3. DOI: 10.1038/s41524-022-00956-8
Forslund, J. H. Jung, P. Srinivasan, B. Grabowski. „Thermodynamic properties on the homologous temperature scale from direct upsampling: Understanding electron-vibration coupling and thermal vacancies in bcc refractory metals”. In: Physical Review B 107 (2023), p. 174309. DOI: 10.1103/PhysRevB.107.174309
About the scientist
Blazej Grabowski studied physics at the University of Paderborn. There and at the Max-Planck-Institut für Eisenforschung (now: Max Planck Institute for Sustainable Materials) in Düsseldorf, he pursued his doctoral degree studies. He has been a professor at the Institute for Materials Science at the University of Stuttgart since 2019, where he has been working increasingly on battery and energy materials. He finds it unsatisfactory to work on a scale where things are simply taken for granted without further understanding. What drives him in his research is the pursuit of a deep understanding of materials. The environment in the SimTech Cluster of Excellence and at the University of Stuttgart is wonderful for this, says the scientist. At SimTech, he is the project network coordinator of PN3 "Data-Integrated Design of Functional Matter Across Scales" and manages the project PN 3-10 (II). He is also head of the associated project PN 3 A-4 "Materials 4.0", an ERC Consolidator Grant awarded to him in 2019.