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Abbreviation (ISO4): Prog Chem      Editor in chief: Jincai ZHAO

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Review

Application of Machine Learning in the Design of Cathode Materials and Electrolytes for High-Performance Lithium Batteries

  • Zhendong Liu 1 ,
  • Jiajie Pan 1 ,
  • Quanbing Liu , 1, 2, *
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  • 1. Guangzhou Key Laboratory of Clean Transportation Energy Chemistry, Guangdong Provincial Key Laboratory of Plant Resources Biorefinery, School of Chemical Engineering and Light Industry, Guangdong University of Technology,Guangzhou 510006, China
  • 2. Jieyang Branch of Chemistry and Chemical Engineering Guangdong Laboratory,Jieyang 515200, China
* Corresponding author e-mail: (Quanbing Liu)

Received date: 2022-10-02

  Revised date: 2022-12-18

  Online published: 2023-02-15

Supported by

Key-Area Research and Development Program of Guangdong Province(2020B090919005)

National Natural Science Foundation of China(22179025)

National Natural Science Foundation of China(21905056)

National Natural Science Foundation of China(21975056)

Abstract

The rapid application of big data and artificial intelligence, and the deep intersection of machine learning (ML) and chemistry disciplines have inspired more promising development approaches for the integration of ML technology with battery materials, especially in the material design of battery, performance prediction, structure optimization, and so on. The application of ML can effectively accelerate the selection process of battery materials and predict the performance of lithium batteries (LBs), consequently driving the development of LBs. This review briefly introduces the basic idea of ML and several important ML algorithms in the field of LBs, then the error performance and analysis of the traditional simulation calculation method and ML method are discussed, thereby increasing understanding of ML methods by LBs experts. Secondly, the application of ML in the practical development of battery materials, including cathode materials, electrolytes, multi-scale simulation of materials and high-throughput experiments (HTE), is emphatically introduced to draw out the ideas and means of applying ML methods in the field of batteries. Finally, the recent works of ML in lithium batteries are summarized and their application prospects are foreseen. It is hoped that this review will shed light on the application of ML in the development of LBs and promote the development of advanced LBs.

Cite this article

Zhendong Liu , Jiajie Pan , Quanbing Liu . Application of Machine Learning in the Design of Cathode Materials and Electrolytes for High-Performance Lithium Batteries[J]. Progress in Chemistry, 2023 , 35(4) : 577 -592 . DOI: 10.7536/PC220937

Contents

1 Introduction
2 ML basic idea
2.1 Data set
2.2 Descriptor
2.3 Task division
3 ML Algorithm
3.1 Supervised learning
3.2 Unsupervised learning
3.3 Common algorithms
3.4 Algorithm performance
4 Applications in the design and optimization of lithium battery materials
4.1 Cathode material
4.2 Electrolyte
4.3 Accelerated material simulation
4.4 High throughput calculation
5 Conclusions and outlook

1 Introduction

With the rapid development of new energy vehicles and the popularity of high energy density electronic devices, the demand for lithium batteries (LBs) is increasing, and it is urgent to find new LBs with higher energy density, higher power density, longer cycle life and higher safety[1]. Therefore, the research and design of new LBs materials to improve the performance of batteries is one of the most popular research topics. The research of traditional battery materials is a challenging task. Researchers rely on trial and error to evaluate the performance of materials through the chemical combination of materials. There are many possibilities for the combination of materials, so it is extremely time-consuming from material trial production to performance testing.
With the advent of the era of big data, human scientific research activities have developed from the first paradigm of induction and summary to the second paradigm of deduction, and now to the third paradigm of computing science, which is becoming more and more popular, that is, computer simulation has gradually become a general method of scientific research. Computational simulations of materials science, such as density functional theory (DFT) and molecular dynamics (MD) simulations, are becoming well known[2]. These paradigms are now popular as branches of science, and these scientific paradigms have advanced the development of previous paradigms[3]. At the same time, theoretical summary, experimental development and experimental data calculated in various fields have also contributed to the emergence of a new scientific paradigm, that is, computers can not only simulate, but also further analyze and summarize. At present, the data generated by a large number of experiments and calculations are stored in numerous databases, such as Materials project, Inorganic Crystal Structure Database (ICSD) and Open Quantum Materials Database, which undoubtedly provide a large number of available data for machine learning (ML)[4]. ML is essentially a new method for finding predictive rules. For materials science, the main role of ML is to optimize existing systems and develop new ones[5]. For example, in material doping experiments, there are infinite possibilities for the matching of doping elements and doping amounts, which undoubtedly increases the difficulty of determining the most appropriate doping behavior[6]. The traditional experimental method is to verify the performance of the new doping system by repeating the experiment. Although this method is more accurate and practical, it consumes a lot of time and energy by trial and error[7][8]. Although another DFT-based calculation method can obtain the basic properties of the system without experimental parameters, it is also hindered by the computational cost because the model of the doped system is too large.
In contrast, ML provides a more efficient strategy for material property search, reduces the computational cost of DFT, and inspires new potential of MD simulation, especially enlightening researchers in materials calculation in the design and performance optimization of rechargeable battery materials[9]. At the same time, ML can also mine valuable information from experimental and theoretical data sets, so it can quickly predict sample properties and properties, such as ionic conductivity and battery life, by establishing quantitative "structure-function" correlations[10]. In this paper, based on the basic idea and practical application of ML, the development of ML method in recent years and its application in lithium batteries are reviewed, and the important role of ML in the field of LBs is emphasized and the future development direction is prospected.

2 Basic idea of ML

Human beings acquire information from the outside world and convert this information into patterns that can recognize new information and store it in the brain. Similarly, the ML process is similar to human learning, in that computers use ML algorithms to learn from data sets and use that information to fit models that recognize new information. The difference is that the former relies on human brain neural networks, while the latter relies on computer neural networks. The ML process is usually divided into four steps: data collection, feature extraction, model building, and model application[11]. (1) Data collected by experimental measurement and simulation calculation, or directly obtained from open databases; (2) extracting and selecting the characteristics of the original data; (3) selecting an ML algorithm to establish a model and learning from the training data; (4) to further guide the discovery of new materials and predict the performance of LBs. In order to ensure the reliability of data sets and ML results, effective experimental strategies must be developed, so practical verification on good experimental design and experimental procedures is needed[12].

2.1 Data set

All ML is data-dependent and, therefore, essential for building the right ML model dataset[13]. In addition to the amount of data, the quality of the data is equally important[14]. Any situation such as small amount of data, low quality of data, data errors, and data sets that are difficult to replicate will seriously affect the prediction results of ML, resulting in unexplained deviations or even errors in the relevant conclusions[15]. Therefore, the first step in developing a reliable ML model is to construct a high-quality dataset. At present, the rise of first principles and the establishment of materials databases provide ML with access to high-quality data sets, while computational or experimental methods have accumulated a large number of material property data.However, most of these data are not uniform or incomplete, so before establishing the initial data set, we should first clarify the research problem, preprocess it through data cleaning or artificial screening, and establish a high-quality data set that meets the target problem. Similar to experimental measurements, ML itself should follow good standards and protocols to reduce bias in data processing and prediction.

2.2 Descriptor

As the input variables of ML model, descriptors contain most of the physical/chemical properties of materials, which determine the efficiency of ML model and the final results, especially in large-scale experiments. The conversion of descriptors is another important problem in the application of ML in LBs. It is necessary to convert some characteristics and attributes of materials into vectors composed of numbers that can be understood by computers. At present, there are two methods to achieve this: (1) by artificially converting and characterizing some complex material properties (such as atomic coordination number and crystal structure) into digital descriptors through Python library tools (Matminer); (2) using deep learning methods. Tian et al. Proposed a generalized crystal graph convolutional neural network (CGCNN) framework (Fig. 1), which constructs a convolutional neural network directly on the crystal graph generated by the crystal structure by studying the simplest form of crystal representation, that is, the connection of atoms in the crystal.Then after training on the data of using materials project, CGCNN achieves similar accuracy as DFT in DFT calculation, and finally compared with the experimental data of eight different attributes, which shows the generality of the method[16]. There are many possible descriptors/parameters to be considered in the ML process, and if the training data set is small at this time, it will lead to overfitting. Therefore, future ML research directions in the area of LBs should focus on developing algorithms that specifically target small datasets (e.g., hierarchical ML, reinforcement learning, etc.)[17].
图1 (a)晶体图的构建。晶体被转换为图形,节点代表晶胞中的原子,边代表原子连接。(b)晶体图之上的卷积神经网络结构。每个节点代表每个原子的局部环境[16]

Fig.1 (a) Construction of the crystal graph. Crystals are converted to graphs with nodes representing atoms in the unit cell and edges representing atom connections. (b) Structure of the convolutional neural network on top of the crystal graph. with Each node representing the local environment of each atom. Copyright 2018, PRL

A good functional form that maps material properties to material descriptors (representing structure-property relationships) helps to find new materials with potential properties. From the experimental point of view, in traditional experimental research, the identification of descriptors mainly depends on physical intuition and chemical theory for artificial screening, while with the improvement of computing power, the optimization of ML algorithm and the promotion of massive material data, a large number of relevant information can be captured, and the features can be extracted as part of the model[18]. The whole process can be summarized as obtaining the original input, that is, according to the needs of experimental design, obtaining the required data by various means, such as atomic radius, band gap, valence and other related target attributes, and sorting them into tabular form for subsequent processing, and then converting the original input into descriptors or features that can be learned by ML algorithm.With the help of Python Materials Genomics (pymatgen), it can download the required material structure and related properties in batches, and also provide a large number of data processing and calculation after VASP calculation. Finally, the ML model is trained on the data, and the performance of the model is drawn and analyzed. Ideally, descriptors should be irrelevant, as a large number of relevant features can hinder the efficiency and accuracy of the model.

2.3 Division of tasks

Traditional computational simulation methods, including theoretical calculation and simulation techniques based on DFT, MD, Monte Carlo (MC) and phase-field methods, are used to explore more microscopic phase and spatial components based on the microstructure of materials, and to test whether the conclusions obtained from experiments can be explained by microscopic processes[19]. It can be said that the traditional computational simulation method is a bridge between material theory and experiment. In contrast, ML can be seen as a powerful complement to traditional computational methods. Its main task is to determine existing physical laws or undiscovered rules based on data and rules, and to build predictive models by evaluating data sets, so as to help researchers understand and analyze the key factors affecting model output.
However, each means of computational simulation is limited. For example, the scale of DFT simulation is small, and the simulation structure error is large in the environment of high temperature, high pressure and strong magnetic field. MD simulation relies on a more accurate potential function, which has the problem of insufficient sampling in the ensemble. Dierk's group proposed a machine learning-based high-entropy alloy design method, starting from experiments and fully combining ML, DFT, thermodynamic calculations and experiments to find two new invar alloys from millions of candidates[20]. At the same time, this method also proves the feasibility of using sparse experimental data, which greatly reduces the time of traditional material design methods.
Experiment, simulation and data-driven tools have become three indispensable methods in current scientific research, and have shown great potential in the field of battery materials by combining ML methods with traditional computational simulation methods, rationally dividing the work, and giving full play to the ability of ML to analyze and process data.

3 ML algorithm

Algorithms are the means by which AI systems can learn from experience, which refers to the large number of data sets generated in the current battery development process. ML algorithm plays a key role in the prediction results. Choosing a suitable ML algorithm can not only make the results more accurate, but also greatly shorten the training time[21]. Although there are thousands of ML algorithms, their predictive ability for the same problem varies greatly depending on the data set[22]. In the field of ML, people will first consider the application scenarios of the algorithm, and then classify the algorithms according to their advantages and disadvantages, so that people can consider the input data in depth when building the ML model, so as to select the most appropriate algorithm, and finally get the best results[23]. According to different learning methods, ML algorithm is mainly divided into supervised learning, unsupervised learning, semi-supervised learning and reinforcement learning (Figure 2). In the general study of LBs, the first two learning methods are commonly used, and we will focus on them in Sections 3.1 and 3.2[24].
图2 ML在电池领域的算法分类及常用算法

Fig.2 Algorithm classification and common algorithms of ML in the field of batteries

3.1 Supervised learning

Supervised learning is the most widely used and effective tool in LBs research. This kind of algorithm (Figure 3) can analyze the linear or nonlinear relationship between input variables and output variables from the data itself, which can be continuous, unfixed and non-unique values[25]. Using preprocessed and labeled data sets, define certain variables as inputs and expected variables as outputs.
图3 用于监督/非监督和分类/回归方法的ML方法的总体工作原理[25]

Fig.3 The overall working principle of the ML method for supervised/unsupervised and classification/regression methods[25]. Copyright 2021, ACS

At the same time, according to the type of output, it can be divided into classification problem and regression problem. The purpose of the former is to predict the category of the sample through the input, while regression is mainly used to predict the true value of a variable, and its output is not a specific category, but an actual continuous value[26~28][29]. Three ML algorithms, linear regression, polynomial regression, and kernel methods, are commonly employed to construct numerical models based on the data used in the training process[30]. While the algorithmic architecture used to develop such models varies with the ML method used, any supervised ML algorithm is a process of relating some output ( y i ) to a numerical model ( x i) of some input[31]. ML is the process of fitting a model with small error through the training and learning of the sample data set, and at the same time making the model have the ability to fit the new sample data set, which is called "generalization ability", and is also a very important property in ML.

3.2 Unsupervised learning

Unsupervised learning uses unlabeled data sets without providing a specific output value and wants to capture some hidden structure from the input data. The application of this algorithm in LBs is mainly divided into two aspects: clustering and dimensionality reduction. For example, for dataset classification or for data feature reduction to identify the most important variables. Therefore, the essence of unsupervised learning is clustering, which does not know which categories the data will be divided into at the beginning, but only learns according to the characteristics of the data itself, so as to infer the internal structure of the data.Systematically de-disclosing the dataset and evaluating the quality of the trained model is relatively easy for supervised models (the most commonly used models in the battery domain), but it is very challenging for this algorithm[32][33]. At present, the data generated in the process of battery research is growing exponentially. These data are preprocessed by clustering or dimensionality reduction to identify the most important variables, and then researchers provide chemical/physical meaning for the classification results of the data.

3.3 Common algorithm

As shown in (Table 1), in addition to supervised and unsupervised learning algorithms, there are a variety of algorithm comparisons, and the choice of algorithm plays a key role in the results. There are four main tasks of ML algorithms: classification, regression, clustering, and probability estimation. Selecting the appropriate algorithm can not only output the reliability of the results, but also shorten the computing time. Several of the most common algorithms are discussed below.
表1 常用的机器学习算法优势

Table 1 Common machine learning algorithm advantages and its disadvantages

Method Category Features
Artificial neural network Regression Requires a large amount of data, relatively strong self-learning and fault tolerance, can analyze complex linear relationships, but the interpretability is weak
Linear regression Regression First make the assumption that the data set requires linear consistency, faster modeling, and good interpretability
Ridge Return Regression Can handle non-linear data, but the prediction efficiency decreases when the data volume is particularly large
Polynomial regression Regression Rapid modeling, effective for small data volumes and simple relationships, difficult to accurately represent high-dimensional complex data
Support vector classification Classification Also known as the maximum margin classifier, it is an important classification model that is mostly applicable to binary data
K-Nearest Neighbor Classification Suitable for multi-classification models, but the computational effort is larger compared to other algorithms, and the data set samples are more demanding
Decision Trees Classification Can handle data with missing attributes, good interpretability, but prone to overfitting
Random Forest Classification Not only does it have the advantages of decision trees, but it also prevents overfitting
K-Means clustering Clustering It is a classical clustering algorithm with simple and fast features, but the algorithm requires high quality for the initial data set
Hierarchical Cluster Analysis Clustering By building a hierarchy of clusters, the whole clustering process can be done at once, but it is computationally intensive

3.3.1 Artificial neural network

Artificial neural network (ANN) is a parallel interconnected network composed of a large number of interconnected processing units, which is an algorithmic mathematical model that can simulate the behavioral characteristics of animal nervous system, and is also the basis of deep learning. The typical structure of ANN is shown in Fig. 4A, which contains 4 input nodes, one output layer and n hidden layers (n ≥ 1), and the ANN method can effectively find nonlinear complex relationships from large-scale data sets[34]. So far, ANN has been an interdisciplinary field, especially in the field of LBs, which is often used for component prediction because it can effectively find nonlinear complex relationships from complex variable relationships of a large number of data sets[35][36]. If the neural network system is combined with a large number of reliable data, it will effectively help to identify the characteristics of materials, but the ANN algorithm needs a large number of parameters to train the model, compared with other algorithms, its training time is longer, and the final output is difficult to interpret[37].
图4 一些最常见的ML算法的示意图。

(a)神经网络;(b)K-最近邻;(c)支持向量机;(d)线性回归

Fig.4 Schematics of some of the most common ML algorithms.

(a) Neural networks; (b) K-nearest neighbors; (c) support vector machines; (d) linear regression

3.3.2 K-nearest neighbor

K-nearest neighbor (Knn) is a commonly used supervised learning algorithm, which mainly relies on the similarity of variables in the data set to identify the cluster to which the data belongs[38]. As shown in Figure 4B, the value of K has a significant impact on the classification results, and the best value is generally determined by maximizing and minimizing the variance. Its working principle is mainly based on the given test data, based on a certain distance to quantify and find out the K samples closest to it in the training data set, and then predict based on the data of these samples. It has no requirement for the selection of input parameters, and the model is mainly established according to the original internal relationship of the data, so there is no obvious process of training the data, and the training time of the model is faster.

3.3.3 Support vector machine

Support vector machine (SVM) aims to find the best hyperplane (i.e., multidimensional plane) to take the input as a function of its output and separate[39]. As shown in Figure 4C, the SVM identifies a hyperplane that can better separate the input and output intervals in the region, thereby maximizing the sample interval in the dataset. SVM is good at dealing with more complex problems, and its final prediction results are not affected by the hyperparameter category and the size of the data set. It effectively solves the local minimum and overfitting problems of traditional neural networks, and shows great applicability in LBs.

3.3.4 Linear regression

Regression algorithms are a class of algorithms that attempt to explore the relationship between variables using a measure of error. Linear regression (LR) is one of the simplest models in ML. Linear regression is to fit a functional model with coefficients by the sum of squares of the residuals between the observed data and the predicted data, which is used to determine whether there is a linear relationship between the dependent variable and one or more independent variables, so that the fitting of the relationship between the parameters is optimal. The output variable (y) in LR is determined by a set of input variables (X), and the goal of LR is to quantify the relationship between the input variable (X) and the output variable (y)[40]. In LR, this relation is expressed as an equation for y = bx + a, as shown in Figure 4D. The goal of LR is to fit a straight line close to most of the points, and the end result is a continuous value. In the study of LBs, the relationship between parameters is usually complex and nonlinear, so it is difficult to obtain accurate results by directly using LR model. Therefore, researchers usually use polynomial regression and logistic regression algorithms to analyze on the basis of LR.

3.4 Algorithm representation

Both experiments and computational simulations, including ML, are modeled cognitions of the laws of nature, and both have their own solutions to problems. Only by understanding the principles and boundary conditions of both sides, can we take advantage of the advantages of both sides to bring help to the field of battery materials research and development. There is no corresponding relationship between ML model and experiment, and they are independent of each other. The selection of ML model and parameters is subjective, which will lead to the final prediction results not meeting expectations. This discrepancy is normal.Because there is no ML model that can perfectly represent complex experimental situations, the variable analysis process and the final prediction effect of ML only give researchers an overall trend, the ultimate goal of which is to explain the experimental phenomena[41]. Hao et al. Optimized the synthesis parameters of cathode materials through the guidance of ML model. When constructing ML model, although there is an algorithm with poor prediction performance,However, in the construction process, it is found that four characteristic parameters have a greater impact on the prediction results. Combined with the experimental trend, the effectiveness of the ML method is proved, which supplements the time for the traditional Edison method to find important parameters and accelerates the development of materials[42].
In general, ML results are inconsistent with experiments, which probably means that researchers ignore key variables in the process of experiments/simulations, while ML can quickly find potential laws, replace or cooperate with traditional experiments and computational simulations, and achieve higher accuracy in predicting the phase or microstructure of materials.

3.4.1 Error analysis

The traditional simulation calculation method uses atomic details to obtain energy and force information by solving the Schrodinger equation, which only needs the atom number of the components as input[43]. Similarly, errors will inevitably occur, for example, the MC method simulates the partition function of the system through random sampling, but if there is a negative weight in the sampling process, there will be a larger deviation.The overall accuracy of DFT method, which is developed from ab initio method, will be affected because of the restriction of its physical model and the limitation of related functionals, and the search for high-precision functionals is undoubtedly time-consuming. However, it is undeniable that computational simulation methods such as DFT have opened new doors for materials innovation research in chemistry, materials science and nanotechnology.
Similarly, ML, which is based on the idea of statistics, basically uses algorithms to analyze data, analyze and learn rules from the data, and then predict and analyze events. When researchers use ML methods to solve research problems, they usually need to evaluate the model and measure the performance of the constructed ML model to measure the impact of errors on the final results[44]. The ML error mainly comes from the bias and variance. The bias is used to describe the difference between the predicted expected value and the true value, and the variance is used to describe the stability of the model output value. For the problem of high variance, researchers generally solve it by increasing sample data, reducing characteristic quantities, regularization and so on. Similarly, high deviation can be adjusted by adding relevant features, adopting polynomial features and other methods. While for the constructed ML model, there are complete performance metrics such as confusion matrix, mean absolute error (MAE), mean square error (MSE), root mean square error (RMSE), coefficient of determination (R2). At present, most material researchers calculate RMSE and R2 as the evaluation index, and the calculation method is as shown in equations (1), (2), n refers to the number of calculated values, samples is the number of samples, y is the true value, ypred is the predicted value, and y - is the average value of the true value. The R2 shows whether the ML model fits well or not through the change characteristics of the data, and its value range is [0,1], and the closer to 1, the better the prediction effect of the algorithm is, while the RMSE can analyze the average deviation between the predicted value and the actual value of the model, and the smaller the RMSE is, the better the model fits.
R M S E = 1 n i = 1 n ( y - y p r e d ) 2
R 2 = 1 - i = 0 n s a m p l e s - 1 ( y - y p r e d ) 2 i = 0 n s a m p l e s - 1 ( y - y - ) 2
Like the experimental method, the error of computational simulation is inevitable, but our ultimate goal is to verify the experimental results. At present, DFT provides a faster method to accelerate the process of materials research and development, reduce the search space of experiments, and summarize many large materials databases for materials computing researchers to use, but it also inevitably inherits the errors of DFT and experimental measurement properties, and the effective combination of ML and DFT has been proved to be effective to deal with this challenge. Dipendra et al. predicted the formation energy of materials by means of deep learning, which effectively dealt with the difference between DFT and experimental measurement properties, making it closer to experimental observation. The MAE calculated by this method is only 0.07 eV/atom[45]. Similarly, the ML method developed by Hruska et al., which uses ML to reduce the number of systematic biases and outliers, significantly reduces the error associated with experimental measurements of the redox potentials of compounds predicted by DFT calculations[46].
Generally speaking, it is normal for traditional calculation methods and ML to produce errors due to their respective model limitations, and it is important to find out which characteristic variables cause the errors.The ML method based on statistical thinking can well deal with the massive data generated by traditional simulation calculation, and supplement and improve the traditional simulation calculation with its own advantages, so as to promote the accuracy and efficiency of energy storage material calculation design and discovery.

4 Application in design and optimization of lithium battery materials

Battery performance is highly related to the selection and design of battery materials. Because of the wide and complex range of design variables, the relationship between materials and battery performance is not easy to determine, so ML is widely used in the study of LBs, and has been proved to have high time efficiency and prediction accuracy[47][48]. The two main roles of ML in the study of LBs are material discovery and property prediction[49]. By establishing quantitative logical relationships through ML methods, computer-aided material discovery and optimization is becoming a powerful tool for analyzing the key structure-performance relationships of battery materials[26][50]. Until now, DFT has been favored for its predictive accuracy while avoiding a large number of repetitive experiments, but when it is applied to large-scale systems, the time cost becomes large and the transferability is poor[51]. At present, DFT and ML are usually combined in battery material calculation to develop the next generation of new battery active electrode and electrolyte materials[52][49]. Common ML algorithms include LR, SVM, and NN, among others (as discussed in Section III), where ML-based studies help accelerate screening and prediction of new battery materials with specific targeted properties[53]. In the following, we mainly discuss how ML can discover and predict new materials from high-dimensional data in the practical application of battery materials from the aspects of cathode materials, electrolytes, and materials simulation and modeling, creating new opportunities for computational materials simulation.

4.1 Positive electrode material

Cathode materials are the key to the development of LBs, and finding cathode materials with ideal energy density and low cost is the premise to meet the demand of advanced LBs[54]. ML is widely used to predict the performance of cathode materials for rechargeable batteries. For active electrode materials, the main characteristics of concern are discharge capacity, capacity retention, volume change, coulombic efficiency, voltage and so on. ML can be used as a tool to construct a model with good correlation between various factors and battery properties by setting appropriate input variables and output variables, and to identify the best characteristic variables to predict its performance under the condition of ensuring the prediction accuracy[26][11][55].
High voltage cathode materials are the key components of high energy density LBs, which can improve the voltage plateau of LBs, and some of them can work up to 5. 0 V. However, it takes a lot of time and economic cost for researchers to screen reliable cathode materials by experimental verification. In order to solve this problem, Lin et al. Developed a ML tool based on convolutional neural network (CGCNN) to predict the voltage characteristics of batteries, so as to screen out more stable high-voltage cathode materials[56]. They screened more than 130,000 inorganic Materials from two representative materials databases, the Materials project and AFLOW, used these data to build a new data set, and used the data set to predict about 80 possible high-voltage candidate materials with low toxicity, high density, high capacity and other characteristics. The results show that the hybrid prediction potential combined with Materials project and ML prediction voltage is in good agreement with the experimental measurement results of 10 known battery cathode systems, while about 70 other unreported candidate Materials are predicted at the same time to be verified by future experiments[56]. Shang et al. Trained organic molecules with known redox potentials by ML, and successfully synthesized cathode materials for lithium-ion batteries by ML. Monomer BCz-PH with high redox activity was successfully predicted by molecular access system (MACCS) and SMILES. Compared with Li+/Li, the discharge voltage was significantly improved to 4.5 and 4.8 V, with good cycling stability, and high cycling charge-discharge specific capacity was achieved[57].
Furthermore, in the study of lithium-sulfur batteries, the adsorption capacity of cathode host materials for polysulfide (LiPS) is calculated by DFT. There are many possibilities for the adsorption sites, and different adsorption sites will lead to different calculation results. This process is costly and time-consuming[58]. To this end, Hai et al. Used transfer learning to successfully predict the adsorption of Li2S6 at any position on a substrate material on the basis of a small data set (Fig. 5), and the resulting model had a fairly low mean absolute error (below 0.05 eV)[59]. The proposed data-driven method, with accuracy comparable to DFT calculations and significantly shorter screening time for AB2-type sulfur host materials, provides a highly accurate and fast solution for other high-throughput calculations and material screening based on adsorption energy prediction.
图5 结合能与DFT和ML的相关图,以及误差分布直方图,(a), (c), (e) 基于从头开始算法,(b), (d), (f)基于迁移学习算法[59]

Fig.5 Combining the correlation plots of energy with DFT and ML, and the histogram of error distribution, (a), (c), (e) are based on ab initio algorithm, (b), (d), (f) are based on migration learning algorithm[59]. Copyright 2021, ESM

To sum up, the ML method shows higher accuracy and efficiency than the traditional material property prediction method, and the combination of DFT calculation and ML advanced technology and algorithm is becoming an important means for automatic screening of compounds.Although the artificial choice of ML algorithm and the construction of the sample data set will greatly affect the final performance model, no single ML algorithm can be suitable for all applications[60][61]. Therefore, the best solution is always a comparison of multiple ML algorithms, which is a common approach for all ML applications.

4.2 Electrolyte

Solid-state electrolytes (SSEs) have been widely studied because of their excellent safety characteristics, but it is still challenging to develop SSEs with high ionic conductivity, good interfacial properties, excellent mechanical properties, and electrochemical stability[62][63]. In general, the DFT method is used to explore the ion transport characteristics of electrolytes, but its feasibility and timeliness are poor when applied to large systems[64]. Jalem et al. First combined the computational data with the ML algorithm and discovered a new olivine oxide solid electrolyte with low ionic conductivity. The ML method began to be well known. ML provides a more convenient and efficient method for the study of the ionic transport characteristics of solid electrolytes, which will accelerate the research and development of advanced solid electrolytes[65][66].
Ionic conductivity is one of the most important evaluation indexes of SSE, and SSE with superior ionic conductivity and interface stability is an ideal material for stable all-solid-state lithium metal batteries.Predicting the properties of battery materials is also an important function of ML method. Through the selection of descriptors and the screening of algorithms, the conductivity can be well predicted[67][68]. Sendek et al. Reported a neural network for predicting the fast conduction ability of lithium ion at room temperature, and constructed a convolutional neural network using five descriptors as input data to train the atomic structure[69]. Eleven crystalline compounds were identified from 317 candidate materials by ML method, and they found that Li5B7S13, Li3InCl6, and Li2B2S5 have high ionic conductivity, among which the ionic conductivity of Li5B7S13 is expected to be 0.074 S/cm, which greatly reduces the complexity of artificial screening. ML-based simulation results show that the logarithmic average of conductivity is improved by a factor of 44 compared to random guessing and manual calculation. However, the input data of this method contains less attribute information, and the number of screened materials is small, so the accuracy of the trained ML model is low. Similarly, Feng et al. Used a neural network potential to simulate materials composed of Li, Zr/Hf, and Cl (Fig. 6), and used a random surface walk method to identify two potential unique layered halide SSEs.A halide solid electrolyte with high lithium ion conductivity and excellent compatibility with lithium metal anode was obtained by ML prediction, and a stable lithium plating/stripping performance record of 4000 H was set[70].
图6 训练数据集。x轴是距离加权的Steinhart阶参数(OP),y轴是每个配置的密度。彩色点对应于(LiCl)1-x(ZrCl4)x的不同x[70]

Fig.6 Training data set. The x-axis is a distance-weighted Steinhart order parameter (OP), the y-axis is the density of each configuration. The colored points correspond to different x of (LiCl)1-x(ZrCl4)x[70]. Copyright 2022, Nano Lett

At present, all studies focus on ion mobility (migration energy or conductivity) as the target attribute, but the mechanical properties of SSE films also have a great impact on the performance of batteries. In the past, the fabrication of SSE films was mainly based on the evaluation of conductivity.Artificial control can not be considered uniformly, and the ML method trained by experimental data is an effective method to predict the ion transmission performance of SSE. A large number of seemingly useless data generated in the process of repeated experiments.In fact, it provides accurate and reliable data for ML. As shown in Figure 7, Chen et al. Used ML to obtain a data set from the data obtained in the experiment, and then used three ML algorithms, namely principal component analysis (PCA), K-means clustering and SVM, to explore the relationship between performance and experimental variables. Finally, a SSE film with a thickness of 40 μm was produced and successfully cycled for 100 times[71]. At the same time, the mechanical properties of SSE also have an important impact on the performance of the battery. How to predict the best mechanical properties has always been a difficult problem. Jo et al. Developed a ML-based regression model, obtained 12361 Materials from the Materials project as a training set, and represented them by their respective chemical structure descriptors[72]. The developed ML model exhibits remarkable accuracy, with mean absolute errors of 11.8 and 15.3 GPa for the shear and bulk moduli, respectively. The model was subsequently applied to predict the mechanical properties of 2432 Na-SSEs and validated by first-principles calculations. Finally, an ideal material screening platform is developed by adding a minimized data set for the optimization process. This method fully demonstrates how the ML method guides the experiment to achieve the desired effect, and provides a new research idea for the future study of electrolytes.
图7 实验流程图。通过制备不同的浆料获取数据集,然后借助不同的ML算法对不同属性的样本进行分类,最后得到理想的固态电解质薄膜[71]

Fig.7 Experimental flowchart. Data sets are obtained by preparing different slurries, and then samples with different properties are classified with the help of different ML algorithms, and finally an ideal solid electrolyte film is obtained[71]. Copyright 2021, ACS

However, considering the complexity of chemical systems, it is still difficult to fully calculate the total conductivity with the existing computing power alone, because most conductors are added with polymers, which makes the calculation more complicated[8,26,73~76]. To solve this complex interactive computation, Yang et al. Used a polymer database to train a gradient boosting model, which showed an accuracy of 90% on training data and 81% on test data[77]. The experimental data are similar to the predicted ionic conductivity, which also provides a guide for ML to explore complex chemical systems.
For liquid electrolytes, the basic principle is quite different from that of solid electrolytes, and the unique highly disordered characteristics make the study of liquid electrolytes less convenient than that of solid electrolytes. Therefore, there are fewer examples of ML applications in the field of liquid electrolytes than in solid electrolytes, but the important role of ML in the study of liquid electrolytes can not be ignored.
The physicochemical properties of electrolytes are largely influenced by the structure of the solvent. From the simplest experimental point of view, researchers have been working on new solvent, salt and additive formulations to construct stable electrode-electrolyte interfaces.The traditional trial-and-error method not only blurs the concept between structure and performance, but also is time-consuming, while ML can guide or help the study of liquid electrolytes and help researchers get more constructive conclusions[78]. The ML method was used to match the Fourier transform infrared (FTIR) spectral signature of an unknown electrolyte composition with the same signature of a FTIR spectral database with known composition,This new method can quickly, cheaply and accurately determine the concentration of the main components in the electrolyte of lithium-ion batteries, which provides more solutions for the current simulation and experimental research of liquid electrolytes[79]. On the other hand, the understanding of the solvation structure of electrolytes is generally observed through experimental characterization, which makes it difficult to understand the liquid transport properties at the atomic level. The rise of first-principles and MD can solve the above problems well, but their high computational cost and limited simulation scale limit the development of current research. Scherer et al. Used the ML method to construct the ML force field for liquid electrolyte simulation, and used the deep neural network method to make up for the lack of accuracy of density functional theory and the efficiency of classical force field[80]. Similarly, Nakhaei-Kohani et al. Developed a structure-property model for the transport properties of ionic liquids to guide the design of ionic liquids.The data set used collects the conductivity of ionic liquids from 2625 laboratories in a wide temperature range (25 ~ 484.1 K), and the conductivity of ionic liquids is predicted by four ML models, which provides a more accurate and reliable way to predict the properties of ionic liquids[81].
All in all, the application of ML to electrolytes is broad, and from a computational point of view assists people to think about experimental studies, from experimental parameter prediction to electrolyte multi-scale simulation,Such application examples open up a new way for more effective experimental research of electrolytes, and provide new solutions for simulating complex liquid electrolytes and finding the relationship between the structure and performance of electrolytes.

4.3 Accelerated material simulation

DFT calculation and MD simulation are widely used in battery research. As ML enters the field of computational materials science, there are more and more successful cases of ML method combining DFT calculation and MD simulation. For example, by developing a new ML method to reduce the energy and force information of the system to assist DFT calculation and MD model, in the high-precision calculation of large systems, the simulation of 100 million atoms has been realized through the deep learning algorithm, and the 1 ns simulation of the system requiring 100 million atoms can be completed in one day, which greatly reduces the time cost of calculation. For another example, based on the calculation data of DFT and MD to predict certain characteristic properties of materials, the result data of MD simulation can be used as the training data set of ML to provide accurate MD simulation prediction for the whole sequence space of electrolytes. ML not only has great advantages in analyzing large data sets and establishing effective causal relationships for the rational design of materials or methods, but also has great potential in promoting the development of molecular simulation modeling[82].
MD simulation can predict the trajectory of selected atoms moving with time in different systems of lithium metal batteries by controlling the physical force field of interatomic interaction. Through MD simulation, the basic formation of initial SEI or artificial SEI can be known, including the migration of components and Li+ in it[83]. At the same time, MD simulations can be used to explain how current density, temperature affect the electrolyte composition and lithium dendrite formation factors in the microworld[84]. However, for the material simulation modeling of multi-atomic systems, the accuracy of traditional molecular dynamics depends on the selection of empirical force fields (FFs) and the related physical intuition, and the cost of its high accuracy is a small atomic system and a huge time cost. Although MD simulations driven by FFs have achieved long trajectories of millions of atoms in microseconds, the accuracy of the interatomic potential depends on the selection of parameters, which need to be empirically fitted and then applied to the calculation. The low transfer of the interatomic potential hinders the possibility of large-scale calculation[85]. In this regard, the application of ML strategy to ab initio molecular dynamics simulation can not only improve the simulation speed by several orders of magnitude, but also greatly expand the scale of scalable systems, while the emergence of ML methods is expected to change the development method of force fields[86]. Chmiela et al. employed ML methods to construct more flexible molecular force fields, which enable MD simulations of flexible molecules with up to a few tens of atoms with ab initio quantum mechanical accuracy[87][88]. Similarly, Chan et al. Developed an automated framework that allows users to create their own models using ML algorithms in the form of advanced sampling and fitting force fields, improved the treatment of reactive charge transfer, and cross-validation and iteration of ML-based potential energy surface (PES) models[89][90]. The prediction and simulation of the properties and functions of molecular systems need to accurately describe the global PES, but the PES usually lacks transferability and can only be described under appropriate conditions, so how to predict the accurate PES with low-cost methods is a challenge. No Noé introduced ML methods that can accurately describe the global PES of elemental materials and small molecules, resulting in a unique solution, the flow of which is shown in Figure 8, enabling simple ML models to reproduce accurate PES for small molecules, significantly speeding up the evaluation of PES[91]. At the same time, ML can effectively analyze the data results of MD simulation, and unsupervised learning can complete preliminary clustering or dimensionality reduction analysis for these unlabeled chaotic data to facilitate researchers' understanding.
图8 使用机器学习构建力场模型的工作流程[91]

(a)分子动力学轨迹中进行采样的示意图;(b)构建机器学习力场中产生数据集的示意图;(c)应用示意图;(d)分子动力学采样的原子间距离分布

Fig.8 Workflow for constructing a force field model using machine learning[91].

(a) Schematic of sampling from molecular dynamics trajectories; (b) schematic of the resulting dataset in constructing a machine learning force field; (c) schematic of the application;(d) distribution of interatomic distances sampled by molecular dynamics. Copyright 2020, Rev. Phys. Chem

The time scales that classical MD and DFT calculations can access are limited, and ML optimization algorithms and optimization strategies have great advantages over the training of traditional MD interatomic potential functions[92]. With the continuous development of computers and the continuous optimization of ML algorithms, ML methods can effectively cut into all aspects of the computational simulation process of battery materials, which is expected to bring a deeper understanding of the working mechanism in the electrochemical process, accelerate the high-precision simulation of large-scale systems, and thus significantly accelerate the design process of battery materials[93].

4.4 High-throughput computing

Although big data reduces the difficulty of obtaining data for researchers, in the field of laboratory-scale material design, the acquisition of research data sets becomes extremely difficult due to the high cost of calculation/experiment. On the other hand, the data obtained by computational simulation lacks important characteristic parameters because it can not fully simulate the experimental conditions, so it takes a long time and is inefficient to collect the required data sets, and the final predicted variable correlation results still need to be verified by a large number of experiments. Therefore, how to carry out high-throughput experiments (HTE) based on ML and accelerate material design through experimental design tools and automated experimental platforms has become a new direction in the field of materials science in the future.
Traditional experimental methods are still largely based on human knowledge and intuition and low-throughput experiments. Effective exploration of unexplored chemical space requires intelligent automation technology, and HTE can carry out a large number of parallel experiments through advanced automation platforms to complete the designated experimental work according to the set rules.Therefore, chemicals and resources can be effectively utilized, and data results can be quickly obtained for chemical reaction characteristics of interest. The advantages of standardization of technical parameters and large volume also generate a large number of accurate and high-quality data for the ML model[94].
ML is highly similar to HTE in that both extract valuable information through extensive data analysis. HTE includes many aspects, such as representative intelligent design and experiment selection, searching and optimizing in a large number of samples with different parameters and conditions to accelerate the whole search process[95]. The effective combination of machine learning and high-throughput computing in materials science, including the processing of high-volume information and the automation of experiments in a feasible large-scale repetitive manner, allows experiments to be conducted faster without sacrificing the quality of results, with the help of ML for data collection and processing. For example, for liquid electrolytes, the highly disordered nature of their formulations makes the ML method difficult to apply due to their numerous combinations of solvents and additives. Kafle et al. Rationally designed the most commonly used solvent components in lithium-ion batteries through a high-throughput screening method, and proved that the low-temperature power capability of lithium-ion batteries can be significantly improved[96]. Whitacre et al. Constructed a system named Otto, with the process shown in Fig. 9, to achieve HT automated formulation and on-line characterization of liquid water battery electrolytes[97]. Compared with traditional low-throughput experiments, the platform can prepare 140 electrolytes in 40 H. After that, the ML method automatically evaluates the collected data set to realize the inverse material design. The optimal electrolyte was found to be a novel dianionic sodium electrolyte with a wider electrochemical stability window than the baseline sodium electrolyte.
图9 Otto系统组成部分[97]

(a)测试系统的单线流程图;(b)系统组成部分的图形表示

Fig.9 Otto system components[97].

(a) Single line flow diagram of test system; (b) graphical representation of system components. Copyright 2019, ECS

The combination of HTE and ML effectively enables automated experimental design, online characterization, and rapid parallel experimental data analysis, which accelerates the discovery and development of battery materials with high repeatability and efficiency. However, the construction of advanced automation platform requires powerful hardware and software conditions, and these difficulties still need continuous exploration and efforts. Large-scale practical applications in the future will undoubtedly change the mode of chemical research and provide a huge impetus for the development of LBs.

5 Conclusion and prospect

Materials research has entered the stage of data-driven science, and the application of ML in battery and materials research has been paid more and more attention. In theory, ML can effectively accelerate the development of efficient force fields and provide a more efficient and rapid method for material simulation and model construction. On the practical side, ML can benefit from the massive amount of data generated by experimental and computational methods such as DFT, MD, etc., to effectively construct the interrelationship between the structural and energetic properties of materials. The potential and prospects of this new technology are becoming more and more obvious, and it has become an important means to predict material properties, screen materials and optimize material design, providing a huge impetus for efficient material design, and providing a fast and accurate method for energy storage technology research, which is expected to overcome the main limitations of battery optimization.
Although great research progress has been made in the combination of ML and battery materials, it is still a big challenge to fully apply ML to the development of advanced batteries. The main reason is that there is no perfect ML interactive tool for battery materials researchers to use, which requires more professionals to invest in this field and accelerate the development of a more general interactive platform. At the same time, the discreteness of data sets is also a major obstacle to the application of data-driven methods. The lack of a unified standard for battery material data not only hinders the data mining potential of ML models, but also makes many data characteristics ignored by people. Therefore, it is necessary to establish a unified benchmark database in the future.
Data-driven materials science research is a new direction full of infinite possibilities. Nowadays, data as the fourth scientific research paradigm brings a completely different research perspective. In the future, with the continuous improvement and development of HTE and ML, the chemical space will be effectively explored through the modern HTE platform, and the automated synthesis and characterization will be carried out with excellent repeatability and minimum material input, providing a large number of high-quality data for ML. The HTE platform data can be further improved by continuous analysis and exploration of ML, and then fed back to the database. This self-reinforcing process is equivalent to an efficient computer, which provides new ideas and new research methods for materials science. We believe that the combination of the computer field and the battery materials field will usher in greater breakthroughs. Experiments, theories and data will establish new research paradigms, and it is possible to discover battery materials with advanced electrochemical characteristics, which will efficiently promote the design of the next generation of lithium batteries with high energy density, high power density, long cycle and high safety.
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