<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="review-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1621807</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2025.1621807</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Buried No longer: recent computational advances in explicit interfacial modeling of lithium-based all-solid-state battery materials</article-title>
<alt-title alt-title-type="left-running-head">Yang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2025.1621807">10.3389/fenrg.2025.1621807</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Julia H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2816586/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rao</surname>
<given-names>Xinqiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3119908/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ooi</surname>
<given-names>Amanda Whai Shin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3119811/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Chemical and Biomolecular Engineering</institution>, <institution>Georgia Institute of Technology</institution>, <addr-line>Atlanta</addr-line>, <addr-line>GA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>KLA Corporation</institution>, <addr-line>Milipitas</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2805280/overview">Howard Qingsong TU</ext-link>, Rochester Institute of Technology (RIT), United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2297348/overview">Selva Chandrasekaran Selvaraj</ext-link>, University of Illinois Chicago, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3056646/overview">Xiang Chen</ext-link>, Tsinghua University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Julia H. Yang, <email>jhyang@gatech.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1621807</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Yang, Rao and Ooi.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Yang, Rao and Ooi</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>All-solid-state ceramic batteries with Li metal anodes promise substantial gains in energy density, owing to the metal&#x2019;s high theoretical capacity and low reduction potential, as well as enhanced safety. However, realizing these benefits requires optimization of buried grain boundaries and interfaces within and between a cell&#x2019;s bulk components, through intentionally designed interfaces, targeted grain boundary engineering, rational synthesis strategies, and beyond. In this Review, we examine recent atomistic simulations that provide insights into such solutions by elucidating ion transport, electron transfer, and chemical reactivity in solid state electrolyte grain boundaries, cathode &#x7c; electrolyte interfaces, cathode &#x7c; cathode grain boundaries, and electrolyte interfaces in anode-free solid-state batteries. We also discuss the advantages and limitations of the various computational methods applied. Lastly, we highlight universal machine learning potentials, challenging datasets, and opportunities for tighter integration with experiments, all of which broaden the scope of modeling. These developments enable unprecedented large-scale simulations of buried solid &#x7c; solid interfaces, potentially accelerating progress to understand and improve ASSB performance <italic>in silico</italic>.</p>
</abstract>
<kwd-group>
<kwd>interfacial modeling</kwd>
<kwd>density functional theory</kwd>
<kwd>classical potentials</kwd>
<kwd>machine learning interatomic potentials</kwd>
<kwd>solid state batteries</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Electrochemical Energy Storage</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction to battery interfaces</title>
<p>All-solid-state batteries (ASSBs) enable pure Li metal anodes and offer high energy density due to their high theoretical capacity, low reduction potential, and lack of a host anode structure. Safety gains are also possible by replacing the organic, flammable electrolyte with a more thermally stable, solid-state electrolyte (SSE). Since the discovery of a SSE with ionic conductivity higher than liquid electrolytes over 10 years ago (<xref ref-type="bibr" rid="B41">Janek and Zeier, 2023</xref>), ASSBs have rapidly progressed toward large-scale production: In November 2024, Honda announced a roll-to-roll testing line that continuously presses the anode, SSE, and cathode layers together&#x2014;similar to the production of conventional liquid Li-ion cells. The line is being used to optimize manufacturing conditions prior to large-scale production, which is projected to launch in the second half of this decade (<xref ref-type="bibr" rid="B73">Voelcker, 2025</xref>).</p>
<p>Despite these practical advances, large-scale adoption of ASSBs is hindered by the mechanical instability, high impedance, and interfacial degradation arising from myriads of solid &#x7c; solid interfaces. Targeted efforts to improve performance are difficult due to the lack of unified understanding of the complex ionic, electronic, mechanical, and thermal effects that underpin degradation (<xref ref-type="bibr" rid="B41">Janek and Zeier, 2023</xref>), (<xref ref-type="bibr" rid="B3">Banerjee et al., 2020</xref>). These coupled phenomena begin at the nanoscale, starting with heterogeneities in Li diffusivity, strain fields, and electrochemical potential. While recent characterization and modeling have focused on characterizing these &#x201c;patterned&#x201d; particles, additional detailed efforts are needed to achieve bottom-up engineering strategies (<xref ref-type="bibr" rid="B86">Zhao et al., 2023</xref>). We note that this view is strongly shared by recent Perspectives (<xref ref-type="bibr" rid="B9">Carrasco, 2024</xref>), (<xref ref-type="bibr" rid="B17">Dawson, 2024</xref>).</p>
<p>
<xref ref-type="fig" rid="F1">Figure 1a</xref> shows a cost-competitive, idealized ASSB cell, at the top of charge, with the appropriate dimensions for a thick positive electrode, thin Li metal negative electrode, and a thin 20 &#xb5;m layer of SSE, which also functions as the separator. <xref ref-type="fig" rid="F1">Figure 1a</xref> shows that if this thin SSE is not hindered by its intrinsic Li<sup>&#x2b;</sup> conductivity (<xref ref-type="bibr" rid="B52">Luntz et al., 2015</xref>), then the remaining bottlenecks for ionic transport are grain boundaries within a SSE and thick positive electrode and electrode &#x7c; SSE interfaces.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Explicit atomistic modeling of interfaces in an ASSB. <bold>(a)</bold> An ideal ASSB contains a thick cathode (hundreds of &#xb5;m), thin solid-state electrolyte (SSE) which may also act as a separator (20 &#xb5;m), and an anode-free configuration which undergoes large volume change upon charge, where Li is plated onto the current collector. Reprinted with permission from (<xref ref-type="bibr" rid="B2">Albertus et al., 2021</xref>). Copyright 2021 American Chemical Society. <bold>(b)</bold> Example composite particle containing a Li(Ni<sub>1/3</sub>Mn<sub>1/3</sub> Co<sub>1/3</sub>)O<sub>2</sub> (NMC) cathode &#x7c; Li<sub>3x</sub>La<sub>(2/3)-x</sub>&#x2395;<sub>(1/3)&#x2212;2x</sub>TiO<sub>3</sub> (LLTO) interface for two pathways: one open pathway (blue box), where Li (green) can travel directly into LLTO, and another closed pathway (red box), where a metal-terminated surface blocks Li diffusion (<xref ref-type="bibr" rid="B50">Lee et al., 2024</xref>) <bold>(c)</bold> Construction of a grain boundary, where two grains are misaligned by an angle &#x3b8; about a rotation axis <italic>o</italic>. The reciprocal of the fraction of coincident or overlapping points (one example: yellow circle) from the two grains, blue and white, is a parameter known as &#x3a3;. The lattice extended into the blue crystal from the white crystal are shown in red for clarity. Modified from (<xref ref-type="bibr" rid="B17">Dawson, 2024</xref>).</p>
</caption>
<graphic xlink:href="fenrg-13-1621807-g001.tif">
<alt-text content-type="machine-generated">Diagram showcasing components and processes in a battery. (a) Structural layers of the battery including current collector, lithium anode, electrolyte separator, and cathode, with specified thicknesses. (b) Composite cathode and solid electrolyte diagrams demonstrating random particle orientation and crystal orientation control for ion pathways, highlighted as open and closed. (c) Illustrations depicting grain manipulation processes: misaligning grains, rigid-body translation, defining grain boundary plane, and populating grains, each with geometric diagrams.</alt-text>
</graphic>
</fig>
<p>For the remainder of this report, we discuss the operation of the cell in discharge, referring to the positive electrode as the cathode and Li metal as the anode. We describe the efforts of the community in explicit modeling of solid &#x7c; solid interfaces, surveying recent works from classical molecular dynamics, <italic>ab initio</italic> molecular dynamics (AIMD), and machine learning interatomic potentials (MLIPs) applied to ASSB interfaces, e.g., SSE &#x7c; SSE, cathode &#x7c; SSE, cathode &#x7c; SSE, and SSE &#x7c; anode-free interfaces. For each interface, we conclude with remaining challenges.</p>
<sec id="s1-1">
<title>Interface simulations</title>
<p>Within a composite cathode, the particles are randomly oriented and form pathways that may be either open or blocked to Li transport (<xref ref-type="fig" rid="F1">Figure 1b</xref>). These particles also contain defects, such as interstitials, stacking faults, dislocations, or grain boundaries (GBs) that allow or hinder Li diffusion. GBs, defined as solid surfaces of contact among surface slabs of different orientation (<xref ref-type="fig" rid="F1">Figure 1c</xref>), are specified by a tilt angle &#x3b8; and rotation axis <italic>o</italic>. In the simplest case, when only two differently oriented grains meet, the extension of the lattice from one crystal into the other (red lines in <xref ref-type="fig" rid="F1">Figure 1c</xref>) results in overlapping sites (yellow circle). The reciprocal of the fraction of all overlapping sites is quantified as &#x3a3;: this value is 1 for a perfect crystal, low for a highly symmetric GB, and high for low-symmetry GB. Altogether, with the terminating slab denoted by Miller indices (hkl), the categorization of a GB is given by the notation, &#x3a3;(hkl). The notation is convenient when describing GBs within a heterogenous, bulk material, such as those within SSEs.</p>
</sec>
<sec id="s1-2">
<title>SSE &#x7c; SSE interface</title>
<p>If properly engineered, GBs in the SSE can play a crucial role in preventing cell failure, as they significantly influence power density, cycle life, and safety (<xref ref-type="bibr" rid="B81">Yu and Siegel, 2017</xref>). Due to their different local environments compared to in the bulk, GBs exhibit deviations in ionic conductivity, electronic structure, mechanical properties (<xref ref-type="bibr" rid="B17">Dawson, 2024</xref>). However, the diversity of GBs can be hard to resolve, let alone interpret.</p>
<p>To this end, polycrystalline modeling using atomistic simulations can be a precise tool for resolving buried SSE &#x7c; SSE interfaces. A recent Perspective by Dawson extensively reviews the pool of GB in SSE studied so far using atomistic modeling: Li<sub>3x</sub>La<sub>(2/3)&#x2013;x</sub>TiO<sub>3</sub> (0 &#x3c; <italic>x</italic> &#x3c; 0.16, LLTO), Li<sub>3</sub>OCl, Li<sub>2</sub>OHCl, Li<sub>7</sub>La<sub>3</sub>Zr<sub>2</sub>O<sub>12</sub> (LLZO), Li<sub>0.375</sub>Sr<sub>0.4375</sub>Ta<sub>0.75</sub>Zr<sub>0.25</sub>O<sub>3</sub> (LSTZ0.75), LiZr<sub>2</sub> (PO<sub>4</sub>)<sub>3</sub> (LZP), Li<sub>10</sub>GeP<sub>2</sub>S<sub>12</sub>, Li<sub>3</sub>PS<sub>4</sub>, and Li<sub>3</sub>InCl<sub>6</sub> (<xref ref-type="bibr" rid="B17">Dawson, 2024</xref>). Therefore, we only briefly mention previous works concerning modeling of GB, focusing more on the growth in methodologies (classical approaches, <italic>ab initio</italic> force fields, and machine learning force fields) used in SSE &#x7c; SSE GB modeling.</p>
<p>The earliest studies of SSE GB have used classical molecular dynamics (CMD) to recommend processing conditions for LLZO to increase low-energy, compact GB (<xref ref-type="bibr" rid="B81">Yu and Siegel, 2017</xref>), resolve origins of sluggish Na conductivity in oxide-based polycrystalline Na<sub>3</sub>PO<sub>4</sub> SSE compared to sulfide-based polycrystalline Na<sub>3</sub>PS<sub>4</sub> (<xref ref-type="bibr" rid="B14">Dawson et al., 2019</xref>), and suggest nanosizing of Li<sub>10</sub>GePS<sub>12</sub> (LGPS) to increase the dimensionality of Li-ion conductivity (<xref ref-type="bibr" rid="B16">Dawson and Islam, 2022</xref>). The sizes of these systems range from 10<sup>3</sup>&#x2013;10<sup>5</sup> atoms and are deployed for around 10 nanoseconds. They are based on classical force fields (e.g., Morse potentials) that are fitted to reproduce certain static and dynamic experimental properties (e.g., lattice constants, thermal expansion, phase transitions, shear, bulk, and elastic moduli) or freshly fitted via empirical procedures (e.g., General Utility Lattice Program (<xref ref-type="bibr" rid="B25">Gale and Rohl, 2003</xref>)). From these works, it is evident that findings from fitted CMD can capture the local chemical and structural environments of polycrystals occupying space on the order of 10<sup>3</sup> nm<sup>3</sup>, build experimentally consistent understandings of ion diffusion, and improve processing conditions.</p>
<p>CMD simulations can then inform continuum-level modeling and construct equivalent circuit models to assess how GB size controls ionic diffusion. For example, in the case of anti-perovskite Li<sub>3</sub>OCl, four candidate GBs have remarkably low GB energies and are presumed to form with high probability during synthesis. The ease of forming these GBs could explain the discrepancy between calculated single-crystal activation barriers compared to experimental measurements, especially when grain sizes are less than a few hundred nanometers (<xref ref-type="fig" rid="F2">Figure 2a</xref>). (<xref ref-type="bibr" rid="B15">Dawson et al., 2018</xref>) Their work emphasizes that, in addition to bulk migration barriers, grain boundary migration energies are another important parameter to consider in the search for realistic high-performance SSE. This challenge is also noted by a recent computational Review for the design of fast Li conductors (<xref ref-type="bibr" rid="B43">Jun et al., 2024</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Examples of classical, <italic>ab initio</italic>, and machine learning molecular dynamics simulations of transport in SSE grain boundaries. <bold>(a)</bold> Grain boundary (GB) structure and energy for &#x3a3;3 (111) for Li<sub>3</sub>OCl, with equivalent GBs in grey (center and edges of supercell). High GB resistance dominates for small-enough grain sizes, according to an equivalent circuit model. Reprinted with permission from (<xref ref-type="bibr" rid="B15">Dawson et al., 2018</xref>). Copyright 2018 American Chemical Society. <bold>(b)</bold> Isosurface plots of electron polarons in Li<sub>3</sub>OCl (turquoise) and hole polarons Li<sub>3</sub>InCl<sub>6</sub> (yellow), with activation barriers of 0.3 eV and 0.45 eV, respectively. The polaron hopping rate in Li<sub>3</sub>InCl<sub>6</sub> is similar to that in TiO<sub>2</sub>, which is a good polaronic conductor (<xref ref-type="bibr" rid="B63">Quirk and Dawson, 2023</xref>). <bold>(c)</bold> High-index (simple twist) GB modeled using a Moment Tensor Potential, showing comparably high ionic transport as those found along low-index GB (<xref ref-type="bibr" rid="B51">Lee et al., 2023</xref>).</p>
</caption>
<graphic xlink:href="fenrg-13-1621807-g002.tif">
<alt-text content-type="machine-generated">Diagram labeled (a), (b), and (c) illustrating grain boundaries and chemical structures. (a) shows a crystalline structure with grains and grain boundaries, graphing conductivity vs. grain size. (b) displays molecular structures highlighting lithium, oxygen, and chlorine atoms, alongside energy curves for Li&#x2083;OCl and Li&#x2083;InCl&#x2086;. (c) depicts a simple twist lattice with lithium, strontium, zirconium, and tantalum, and a graph of diffusion coefficients vs. temperature for different configurations.</alt-text>
</graphic>
</fig>
<p>While CMD is useful for obtaining microscopic descriptions of Li diffusion via a non-reactive picture of ionic transport, it captures no electronic information. However, it is known that electron conduction in SSE can lead to unwanted Li deposition and detrimental cell shorts. For example, Demir et al. use hybrid DFT and thermodynamic arguments in a 192-atom cell to show that in cubic LLZO, Li metal nucleation can only occur around regions which relax lattice strain (e.g., GBs, voids) due to the enormous positive formation energy of neutral Li formation in the bulk (<xref ref-type="bibr" rid="B18">Demir et al., 2024</xref>). Their investigations reveal that GBs are effective Li metal deposition sites and candidates for dendrite formation.</p>
<p>Understanding mixed ionic and electronic transport along SSE GB can be achieved through AIMD which uses forces from <italic>ab initio</italic> calculations and classical Newtonian mechanics to propagate equations of motion (<xref ref-type="bibr" rid="B8">Car and Parrinello, 1985</xref>). Quirk and Dawson use AIMD in four SSE, Li<sub>3</sub>OCl, Li<sub>2</sub>OHCl, <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>-Li<sub>3</sub>PS<sub>4</sub>, and Li<sub>3</sub>InCl<sub>6</sub>, to find that the GBs in all four materials have reduced band gaps and pronounced electron or hole traps, the latter which can form on under-coordinated anions (<xref ref-type="fig" rid="F2">Figure2b</xref>). (<xref ref-type="bibr" rid="B63">Quirk and Dawson, 2023</xref>) Any ion at GBs that can exist in multiple states, such as S<sup>2-</sup>/S<sup>&#x2212;</sup> in Li<sub>3</sub>PS<sub>4</sub>, O<sup>2-</sup>/O<sup>&#x2212;</sup> in Li<sub>3</sub>OCl, or In<sup>3&#x2b;</sup>/In<sup>2&#x2b;</sup> in Li<sub>3</sub>InCl<sub>6</sub>, are thermodynamically favored centers for hole or electron polaron formation. This is problematic in terms of dendrite formation, as electron polaron localization sites are then prime locations for unwanted Li metal deposition via Li reduction: Li<sup>&#x2b;</sup> &#x2b; In<sup>2&#x2b;</sup> - &#x3e; Li<sup>0</sup> &#x2b; In<sup>3&#x2b;</sup>. A similar observation is made in LLZO: AIMD reveals that Li-ion transport along a high-index tilt GB is remarkably high, comparable to that in the bulk, and that along this GB, there is preferential localization of excess electrons at ZrO<sub>5</sub> units and resultant Li metal accumulation (<xref ref-type="bibr" rid="B28">Gao et al., 2022</xref>). Therefore, in LLZO, the high-index GB provide culpable sites for Li metal deposition. Both studies indicate the criticality of electronic structure calculations in SSE GBs, as their electronic properties can deviate significantly from the bulk and be key predictors of failure.</p>
<p>While AIMD offers improved accuracy over CMD by better capturing the complex bonding expected in some high angle GBs, it remains limited to small system sizes and short timescales (e.g., typically fewer than 400 atoms and &#x223c;100 picoseconds (ps) for Li<sub>3</sub>OCl and Li<sub>3</sub>InCl<sub>6</sub> (<xref ref-type="bibr" rid="B63">Quirk and Dawson, 2023</xref>), preventing the exhaustive study of large length scales needed for high angle or amorphous GBs. Additionally, as DFT approaches have systematic errors, results of AIMD simulations must sometimes undergo a secondary analysis step, using a higher-level of theory which is even more computationally expensive (<xref ref-type="bibr" rid="B28">Gao et al., 2022</xref>).</p>
<p>Studying high angle GBs at nanometer-length scales using expensive levels of theory requires going beyond CMD or AIMD approaches. ML interatomic potentials (MLIPs), which can quite accurately reproduce electronic structure calculations, have been bridging the methods gap between the accuracy of <italic>ab initio</italic> methods and relatively lower cost of classical methods since Behler and Parinello first introduced the use of high-dimensional neural network potentials in 2008 (<xref ref-type="bibr" rid="B7">Behler and Parrinello, 2007</xref>). The advantage of MLIPs is that they enable quantum mechanically accurate molecular simulations of systems for now typically 10<sup>3</sup> atoms (<xref ref-type="bibr" rid="B38">Jacobs et al., 2025</xref>), (<xref ref-type="bibr" rid="B21">Deringer et al., 2019</xref>), (<xref ref-type="bibr" rid="B70">Unke et al., 2021</xref>) unlocking a variety of GBs and heterogenous interfaces which were once beyond the capability with solely AIMD, which reviewed earlier, is about 400 atoms evolving over ps of time. There are several classes of MLIPs (<xref ref-type="bibr" rid="B6">Behler, 2021</xref>). Second generation MLIPs, which historically have been the most widely used, express the total energy as a sum of mostly local atomic energy contributions. Third generation MLIPs include long-range interactions via environment-dependent partial charges, while fourth-generation MLIPs further account for long-range charge transfer.</p>
<p>For example, Lee et al. use a MLIP (system size: 600&#x2013;900 atoms, deployed for 5&#x2013;10 ns) and aberration-corrected scanning transmission electron microscopy and spectroscopy to study the origin of anomalously high GB conductivity in perovskite SSE, Li<sub>0.5y</sub>Sr<sub>1-0.75y</sub>&#x25a1;<sub>0.25y</sub>Ta<sub>y</sub>Zr<sub>1-y</sub>O<sub>3</sub> (LSTZ0.75, with A-site vacancies). Its excellent transport is unlike its canonical counterpart, perovskite-type, LLTO, which has high bulk ionic conductivity, but poor GB ionic conductivity (<xref ref-type="bibr" rid="B51">Lee et al., 2023</xref>). It is unclear how LSTZ0.75 and LLTO, which have the same crystal structure, can exhibit drastically different GB conductivity. A Moment Tensor Potential (MTP), fitted on DFT reference energies, is used to find that Sr at the GBs tend to migrate into the bulk for both low-<inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and high-<inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> GB (<xref ref-type="fig" rid="F2">Figure 2c</xref>), leaving behind Sr vacancies and promoting Li enrichment at the GBs. This observation is corroborated with dark field vibrational electron energy loss spectroscopy which finds equal concentration of Li in the bulk and at the GB. In summary, in LSTZ0.75, Li migrates as easily along the GB as through the grains due to the availability of Sr vacancies that increase promote Li transport. It is emphasized by Lee et al. that future design of high-conductivity polycrystalline SSE should purposefully include vacancy and defect engineering of the bulk SSE, as this strategy is linked to the creation of favorable GB environments for facile Li migration. This study is an example of a joint experimental-computational effort which can lead to mechanistic understandings and new materials design directions for ASSBs.</p>
<p>While the training error of the MLIP on GB structures is about 3 meV/atom, indicating some deviation from DFT, the accuracy is comparable to other studies using MTP on ASSB GBs (<xref ref-type="bibr" rid="B58">Ou et al., 2024</xref>), (<xref ref-type="bibr" rid="B40">Jalem et al., 2023</xref>) This could be due to the lack of long-range interactions in MTP, which could be mitigated by using a third-generation MLIP. Other opportunities include extension into systems which can only be probed using MLIPs: glassy-crystalline matrices such as Li<sub>3</sub>PS<sub>4</sub> (<xref ref-type="bibr" rid="B71">Urata et al., 2024</xref>) and amorphous-amorphous interfaces such as Li<sub>3</sub>B<sub>11</sub>O<sub>18</sub> coatings on Li<sub>3</sub>PS<sub>4</sub> SSE (<xref ref-type="bibr" rid="B75">Wang et al., 2023</xref>). The study of MLIP in SSE interfaces will be particularly critical in composite polymer-ceramic SSE, which is one of the most promising ASSB technologies. The reason is that composite SSE combine the advantages of high mechanical strength and interfacial contact of polymer electrolytes, with the electrochemical stability, thermal stability, ionic conductivity, and resistance to dendrite formation, of ceramic SSE (<xref ref-type="bibr" rid="B82">Yu and Manthiram, 2021</xref>). However, new strategies are needed to promote low-resistance, highly efficient ion-conduction networks at the composite SSE &#x7c; anode and composite SSE &#x7c; cathode interfaces. With this target in mind, combined atomistic and coarse-grained MLIPs may help with the design of polymer-ceramic composites.</p>
</sec>
<sec id="s1-3">
<title>Cathode &#x7c; SSE interface</title>
<p>The greatest impedance occurs not at the anode &#x7c; SSE interface, but at the cathode &#x7c; SSE interface, suggesting that the cathode &#x7c; SSE interface could be a principal hurdle in developing ASSBs (<xref ref-type="bibr" rid="B52">Luntz et al., 2015</xref>). However, a main challenge is that composite cathodes, made of the cathode active material carbon binder, consist of randomly-oriented crystallographic interfaces (<xref ref-type="fig" rid="F1">Figure 1b</xref>). The plethora of such interfaces implies that degradation can initiate from just as many locations.</p>
<p>It is unclear how to connect this complex morphology and associated surface facets to observable metrics, such as capacity fade, unless measures are taken during synthesis to intentionally generate well-defined interfaces (<xref ref-type="bibr" rid="B83">Zahiri et al., 2021</xref>). Recent experimental progress in this area has made this possible. Zahiri et al. performed controlled electrodeposition of LiCoO<sub>2</sub> with three halide SSE and one sulfide SSE. They find a strong dependence of Li<sub>3</sub>YCl<sub>6</sub> instability on LiCoO<sub>2</sub> orientation and examine this using DFT. Their calculations reveal that the (003) LiCoO<sub>2</sub> surface has a weak and slightly repulsive interaction with the (100) Li<sub>3</sub>YCl<sub>6</sub> surface (0.15 eV/nm<sup>2</sup>) compared to the (110) LiCoO<sub>2</sub> surface with (100) Li<sub>3</sub>YCl<sub>6</sub> surface (4.40 eV/nm<sup>2</sup>). Since it takes less energy to break bonds at the weak interface, overpotentials will further accelerate the decomposition. In contrast, many more bonds, such as Co-Cl, Li-O, and Y-O, form at the (110) LiCoO<sub>2</sub> &#x7c; Li<sub>3</sub>YCl<sub>6</sub> interface, resisting decomposition. These insights guide rational fabrication of dense, additive-free cathodes with controlled electrochemical and chemical reactions and minimal capacity fade. This collaboration involving controlled experiments and electronic structure calculations is another example of validation efforts that enable rational, expedited optimization of ASSB.</p>
<p>In addition to thermodynamic comparisons, reaction dynamics at cathode &#x7c; SSE interfaces have also been recently pursued. Golov et al. use AIMD to study reactivity at the (001) cathode &#x7c; (001) Li<sub>3</sub>YCl<sub>5</sub>Br (LYCB) and (110) Li metal anode &#x7c; (110) LYCB interfaces (<xref ref-type="bibr" rid="B29">Golov et al., 2024</xref>). Two cathode materials, LiNi<sub>0.6</sub>Mn<sub>0.2</sub>Co<sub>0.2</sub>O<sub>2</sub> (NMC622) and LiNi<sub>0.8</sub>Mn<sub>0.1</sub>Co<sub>0.1</sub>O<sub>2</sub> (NMC811), each containing up to &#x223c;200 atoms, were found to promote Y-O, Li-Cl, and Li-Br bonds at the expense of Y-Cl and Y-Br bond breakage. For NMC622, 20 ps of AIMD does not reveal further structural rearrangement nor charge equilibration. On the other hand, for NMC811, more structural rearrangements are observed, specifically the formation of a bromide monochloride molecule at 15 ps, which is expected to form Br<sub>2</sub> gas, lead to Ni reduction, and Li intercalation from LYCB into NMC811. The findings, despite occurring over a short simulation time (15&#x2013;20 ps), are consistent with experimental observations that Cl<sub>2</sub> gas evolves in NMC &#x7c; Li<sub>3</sub>MCl<sub>6</sub> (M &#x3d; In, Y, Zr), and that Li loss from the SSE occurs via Li insertion into NMC. The authors suggest that dynamic evolution of NMC &#x7c; LYCB can be probed, to an extent, using AIMD.</p>
<p>In one of the most exhaustive multiscale modeling efforts to date, Feng et al. consider 600 distinct, dense, polycrystalline LiCoO<sub>2</sub> &#x7c; LLZO interfaces using atomistically-informed mesoscale modeling, MLIP, and ML analysis (<xref ref-type="fig" rid="F3">Figure 3a</xref>). (<xref ref-type="bibr" rid="B23">Feng et al., 2024</xref>) Using MLIP MD simulations (sampled for 4&#x2013;10 ns), they calculate effective diffusivity for 600 microstructures (consisting of a two-phase polycrystal) and find a bimodal distribution when the bulk diffusivities in LCO vs. LLZO are significantly different. This behavior arises from the respective percolating channels of slow and fast phases; when more slow-diffusing phases are added to remove connectivity of fast phases, diffusivity follows a unimodal distribution. It is revealed that microstructural optimization of heterointerfaces (defined as where at least three types of interfaces meet), can form conductive-enough networks even if diffusivity at other interfaces is low. Thus, future efforts could include collaborations with experiment, such as joint efforts to intentionally promote more of these conductive heterointerfaces. Other next steps could still be in computation, given that the authors mention three limitations in the findings: lack of atomistic detail on how spatiotemporal environments control Li mobility at interfaces, lack of charge transfer in the MLIP model, and artificial smoothing of interfacial structure for mesoscale simulations. In summary, the workflow is the first to develop atomistically-informed, multiscale modeling for cathode-active materials with SSE interfaces.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Considerations for modeling electrode &#x7c; SSE interfaces. <bold>(a)</bold> State-of-the-art modeling of cathode &#x7c; SSE interfaces for ionic conductivity showing Li flux density analysis for microstructures when flux is applied along horizontal <bold>(i,iii)</bold> and vertical <bold>(ii,iv)</bold> directions. The flux magnitude in grayscale <bold>(i,ii)</bold> and direction as vector fields <bold>(iii,iv)</bold> with streamlines (large hollow black arrows) for the most conductive phase, illustrate how Li mostly moves through bulk LLZO <bold>(i,iii)</bold>, avoiding heterointerfaces, or through the LiCoO<sub>2</sub> (LCO) grain boundaries <bold>(ii,iv)</bold>. Reproduced with permission from (<xref ref-type="bibr" rid="B23">Feng et al., 2024</xref>). <bold>(b)</bold> Space charge layers form on the cathode side and/or the SSE side, depending on the chemical potential of Li. During charge, the concentration of Li will change as Li (green circles) is de-intercalated from the cathode (blue), transported through the SSE (yellow), and intercalated into the anode (orange). For normal interfaces (left), Li will be depleted on the cathode side at the end of charge, whereas for interfaces with high Li chemical potential (right), Li will be depleted on both the cathode and SSE sides. Reprinted with permission from (<xref ref-type="bibr" rid="B27">Gao et al., 2020</xref>). Copyright 2020 American Chemical Society.</p>
</caption>
<graphic xlink:href="fenrg-13-1621807-g003.tif">
<alt-text content-type="machine-generated">Two-panel image: Panel (a) contains four diagrams. (i) and (ii) show grain boundaries in bulk LCO and LLZO, indicated by different colors in a grainy structure. (iii) and (iv) illustrate vector fields representing applied flux, with arrows depicting direction. Panel (b) consists of diagrams showing stages in charging and discharging a battery. It includes cathode, solid electrolyte, and anode layers with changes in lithium ion concentration over time during the fully discharged, charging, and fully charged states.</alt-text>
</graphic>
</fig>
<p>Computational efforts investigating reactivity at cathode &#x7c; SSE interfaces tend to use semi-local DFT approximations, typically in the form of the Perdew&#x2013;Burke&#x2013;Ernzerhof (PBE) (<xref ref-type="bibr" rid="B60">Perdew et al., 1996</xref>), due to their ability to calculate accurate formation energies within practical cost. However, semi-local DFT contains remnant self-interaction errors (<xref ref-type="bibr" rid="B61">Perdew and Levy, 1983</xref>), (<xref ref-type="bibr" rid="B57">Mori-S&#xe1;nchez et al., 2008</xref>) resulting in underestimation of band gaps and relatively poorer enthalpies of formation for strongly-correlated systems containing <italic>d</italic> electrons (<xref ref-type="bibr" rid="B85">Zhang et al., 2018</xref>).</p>
<p>One way to reduce the self-interaction error in the form of charge delocalization is to solve for on-site, Coulombic Hubbard corrections via the self-consistent linear response method (<xref ref-type="bibr" rid="B88">Zhou et al., 2004</xref>), (<xref ref-type="bibr" rid="B12">Cococcioni and de Gironcoli, 2005</xref>). However, the approach is not straightforward in cathode &#x7c; SSE interfaces, as transition metal oxides near the surface have locally different environments than those in the bulk, requiring spatially and chemically dependent Hubbard <italic>U</italic> and <italic>V</italic> (DFT &#x2b; <italic>U</italic> &#x2b; <italic>V</italic>) corrections. These systems can benefit from automated determination, and one promising approach has been to develop ML models based on equivariant neural networks, using atomic occupation matrices to predict Hubbard parameters with iterative linear response calculations per atomic site (<xref ref-type="bibr" rid="B69">Uhrin et al., 2025</xref>). By removing the need for manual tuning, the method may significantly expedite <italic>ab initio</italic> modeling of cathode &#x7c; SSE interfaces with significantly more heterogeneous environments.</p>
<p>At the interface, there is a natural accumulation of vacancies due to the difference in Li chemical potential, and this forms a space charge layer (SCL) (<xref ref-type="fig" rid="F3">Figure 3b</xref>). At the anode side, there is, by contrast, an accumulation of Li and depletion of vacancies. However, depending on the SSE, the formation of a SCL does not always result in depletion of Li at the interface, since stable Li adsorption sites can form, leading to a &#x201c;Li pileup&#x201d;, inducing an even greater SCL. Such is the case for LiCoO<sub>2</sub> (110) &#x7c; &#x3b2;-Li<sub>3</sub>PS<sub>4</sub> (010). These blocked Li migration pathways can be mitigated by adding a thin LiNbO<sub>3</sub> buffer layer which provides more Li transport pathways, reducing the SCL (<xref ref-type="bibr" rid="B33">Haruyama et al., 2014</xref>).</p>
<p>In a follow-up study using particle swam optimization via the CALYPSO method (<xref ref-type="bibr" rid="B26">Gao et al., 2019</xref>), the more stable (104) surface of LiCoO<sub>2</sub> is systematically studied with &#x3b2;-Li<sub>3</sub>PS<sub>4</sub> (010). It is revealed that extensive cation and anion mixing form cobalt sulfides and phosphorous oxides (<xref ref-type="bibr" rid="B27">Gao et al., 2020</xref>). Instead of Li adsorption forming a Li-rich region which is the case with (110) LiCoO<sub>2</sub> &#x7c; &#x3b2;-Li<sub>3</sub>PS<sub>4</sub> (010), there is now Li depletion due an increase in the migration barrier at the mixed sulfide/oxide interface. The resultant Li chemical potential is now higher at the interface than in the bulk (<xref ref-type="fig" rid="F3">Figure 3c</xref>), resulting in interfacial resistance, electron transfer from the SSE, and oxidative decomposition of the SSE (e.g., S oxidation).</p>
<p>Full-scale consideration of the SCL will require simulations of large length scales with electron transfer, which are exclusively handled with at least third-generation MLIPs with environment-dependent partial charge information (<xref ref-type="bibr" rid="B69">Uhrin et al., 2025</xref>). While many state-of-the-art MLIPs are second generation meaning that they do not explicitly differentiate among charges or oxidation states (e.g., MTP, as discussed in the previous section), this assumption was recently shown to be problematic for the case of thermodynamic stability in bulk LiFePO<sub>4</sub>: A pretrained CHGNet MLIP, which includes electronic degrees of freedom using magnetic moments, is successfully used with semi-grand canonical cluster expansion sampling to predict two-phase co-existence during lithiation of LiFe<sub>x</sub>PO<sub>4</sub>, due to its incorporation of electronic entropy (<xref ref-type="bibr" rid="B20">Deng et al., 2023</xref>). Without including electronic degrees of freedom, Li<sub>x</sub>FePO<sub>4</sub> exists as a solid solution, inconsistent with experiments. From this work, it is evident that explicit differentiation between charge states may be critical for capturing thermodynamic behavior of cathode materials.</p>
<p>Even so, third-generation MLIPs with charge states for cathode &#x7c; SSE interfaces may not be sufficient, considering that in an earlier section we reviewed that electron conduction in SSE can be facile along grain boundaries meaning that non-local charge transfer must also be a consideration. Fortunately, these new models, constituting fourth-generation MLIPs, are an area of active development (<xref ref-type="bibr" rid="B46">Ko et al., 2023</xref>) (<xref ref-type="bibr" rid="B31">Gubler et al., 2024</xref>).</p>
<p>In summary, electrochemical modeling of cathode &#x7c; SSE interfaces remains an open challenge, owing to the un-established DFT corrections needed to study heterogeneous cathode environments and the unvetted non-local charge transfer MLIP models applied to cathode &#x7c; SSE interfaces. Active work in these directions may lead to atomistically-informed understanding of how electrochemical degradation occurs, allowing for targeted design of passivating, ionically conducting cathode &#x7c; SSE interfaces.</p>
</sec>
<sec id="s1-4">
<title>Cathode &#x7c; Cathode interfaces</title>
<p>The cathode &#x7c; cathode interface facilitates Li-ion transport within composite electrodes of ASSBs (<xref ref-type="bibr" rid="B34">He et al., 2021</xref>). While a well-designed particle with crystallographic alignment improves rate capability and cycling performance (<xref ref-type="bibr" rid="B79">Xu et al., 2020</xref>), large-scale mitigation of failure is still limited. For example, Yan et al. use STEM-HAADF to reveal that cracks nucleate from the NMC333 grain interior during cycling at high voltage (<xref ref-type="bibr" rid="B80">Yan et al., 2017</xref>). They find that the edge dislocation core within primary particles acts as the nucleation site for crack initiation (<xref ref-type="fig" rid="F4">Figure 4a</xref>). The process is diffusion-limited, and dislocations are surmised to propagate along (003) planes, forming intragranular cracks. Indeed, crack formation along (003) is consistent with other <italic>in situ</italic> studies (<xref ref-type="bibr" rid="B84">Zhang et al., 2017</xref>). These findings indicate coatings are not sufficient to prevent cathode degradation at high voltage, motivating studies that focus on alleviating internal cathode strain and homogenizing Li distribution.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Examples of cathode defects that reduce electrochemical performance. <bold>(a)</bold> Significant intragranular crack density, as observed in STEM-HAADF images, is correlated with increasing cycle voltage. Schematic diagrams illustrate diffusion-limited, dislocation-assisted crack incubation and propagation (<xref ref-type="bibr" rid="B80">Yan et al., 2017</xref>). <bold>(b)</bold> Isosurfaces of Li (brown) in both bulk and twin boundary regions of Li<sub>0.5</sub>CoO<sub>2</sub>. Li transport in the boundary region is relatively limited compared to the bulk, resulting in reduced rate capability. Reprinted with permission from (<xref ref-type="bibr" rid="B42">Jiao et al., 2025</xref>). Copyright 2025 American Chemical Society.</p>
</caption>
<graphic xlink:href="fenrg-13-1621807-g004.tif">
<alt-text content-type="machine-generated">Diagram showing (a) the relationship between intragranular crack density and cycle voltage, illustrating high voltage leading to more cracks through dislocation core incubation and crack propagation; (b) molecular model of Li&#x2080;.&#x2085;CoO&#x2082; at 800 K, showing bulk region with in-plane diffusion, and boundary region with blocked diffusion.</alt-text>
</graphic>
</fig>
<p>Achieving uniform Li concentration at increasing rates is challenging for polycrystalline cathodes as their heterogeneous structure lends to heterogeneous transport. This effect can be directly quantified with computational modeling. He et al. use AIMD to investigate Li-ion migration among different GB models and statistically analyze Li migration energy profiles in the bulk, across GBs, and along GB planes in LiNi<sub>0.5</sub>Mn<sub>0.3</sub>Co<sub>0.2</sub>O<sub>2</sub> (<xref ref-type="bibr" rid="B34">He et al., 2021</xref>). They find that the coherent &#x3a3;2 GB shows the lowest boundary energy (0.097 J/m<sup>2</sup>) and promotes Li diffusivity 1-2 orders of magnitude higher than that in the bulk. However, grain boundary energy alone is not sufficient for predicting Li transport, as the &#x3a3;3 GB exhibits a modestly higher GB energy (0.286 J/m<sup>2</sup>) but reduced diffusivity by 7 orders of magnitude across the GB. Disordered &#x3a3;5 and &#x3a3;9 GBs, though energetically less favorable, promotes Li diffusivity by up to 10 times compared to the bulk.</p>
<p>Targeted modeling efforts can also appraise strategies to prevent intergranular cracking. Hu et al. use DFT calculations and construct a straightforward dataset for the coherent &#x3a3;3 [100] (012) GB of LiNiO<sub>2</sub> (<xref ref-type="bibr" rid="B36">Hu et al., 2024</xref>). They iterate through 64 metallic and semi-metallic dopants at four different well-defined locations: Li sites on the GB, Ni sites on the GB, neighboring Li sites near the GB, and neighboring Ni sites near the GB. Based on GB segregation energies and strength calculations, only group IV elements, such as Fe and Co, have beneficial roles as substitutes on Li sites. On the other hand, there are more effective dopant candidates for Ni GBs, suggesting that numerous GB engineering efforts (i.e., doping with Mg, Al, Si, Ti, Cr, Mn, Fe, Cu, Zn, Hf, or Ce) would be effective for Ni-rich cathodes as they would preferentially segregate and strengthen Ni GBs. The results align well with experimental observations, motivating systematic investigation across more complex systems.</p>
<p>The dynamic roles of dopants are already being investigated with a second-generation MLIP. Jiao et al. systematically assess the benefit of Al doping in LCO using experiments, characterization, and modeling (<xref ref-type="bibr" rid="B42">Jiao et al., 2025</xref>). Undoped LCO exhibits near perfect crystallization whereas doping increases chemical and structural heterogeneity. The extent that the structural heterogeneity is a problem is evaluated using a second generation MLIP. Simulations on thermodynamically favorable twin boundaries reveal that Li-ion diffusion is impeded at a LCO twin boundary compared to in the bulk (<xref ref-type="fig" rid="F4">Figure 4b</xref>), resulting in loss of rate performance. Additionally, density of states DFT calculations on representative local configurations from MLIP simulations indicate that oxygen atoms with Li-rich environments are likely to be oxidized, as their electronic states lie close to the Fermi level. The iteration of using MLIP to inform configurations for electronic structure calculations is typical for closing the loop on MLIP simulation predictions.</p>
<p>It is worth mentioning again that Feng et al. also investigate Li transport in LCO bulk and LCO GBs within composite cathodes using MLIP (<xref ref-type="bibr" rid="B23">Feng et al., 2024</xref>). Their study reveals that the LCO bulk acts as a transport bottleneck, while LCO GBs can serve as secondary conduction pathways when LLZO connectivity is poor. In well-connected LLZO networks, Li-ion flux remains concentrated in LLZO. However, when LLZO pathways are disrupted, Li must traverse through the LCO bulk and GBs, resulting in reduced ionic conductivity. Their findings suggest that optimizing LCO GB properties through doping, grain size engineering, and interface modifications may enhance diffusion and improve rate and operational stability.</p>
<p>Some progress has been made in atomistic modeling of cathodes, mainly via DFT studies, AIMD, and MLIP. However, cathode-cathode interfaces remain understudied compared to other battery components. Thus, future directions simply include continued use of all methods to increase the scope of our understanding of cathode defects and grain boundaries during electrochemical cycling.</p>
</sec>
<sec id="s1-5">
<title>Anode-free &#x7c; SSE interface</title>
<p>We refer the reader elsewhere for exhaustive Reviews on Li metal anode &#x7c; SSE theory and computation (<xref ref-type="bibr" rid="B48">Krauskopf et al., 2020</xref>), (<xref ref-type="bibr" rid="B64">Sanchez and Dasgupta, 2024</xref>), (<xref ref-type="bibr" rid="B67">Seymour et al., 2023</xref>). In this section, we instead focus on recent works applying computational modeling to study anode-free &#x7c; SSE interfaces as previous studies suggest that only an anode-free Li-metal SSB can be competitive with the energy density and cycle stability of Li-ion batteries (<xref ref-type="bibr" rid="B35">Heubner et al., 2021</xref>).</p>
<p>The anatomy of an anode-free ASSB is shown in <xref ref-type="fig" rid="F1">Figure 1a</xref>. Upon charge, Li from the reservoir of the cathode active material diffuses through the thin SSE and is plated directly onto the current collector (CC). The uniformity of this plating is dependent on binding energy of Li atoms to the CC, nucleation overpotential, wettability, electric field, and morphology of the existing surface (<xref ref-type="bibr" rid="B62">Petersen et al., 2024</xref>).</p>
<p>In 2019, Pande and Viswanathan use computational screening to search for CCs which can stably nucleate uniform Li films upon charge (<xref ref-type="bibr" rid="B59">Pande and Viswanathan, 2019</xref>). Their thermodynamic calculations and first order approximations show that the use of Li alloys (e.g., Li-Zn, Li-Al, Li-B, Li-Cd, Li-Ag) may yield cells with better rate capability due to low nucleation overpotentials and higher specific energies.</p>
<p>Other thermodynamic evaluations include a combined DFT-experimental comparison of Li deposition onto Ag vs. Cu (<xref ref-type="bibr" rid="B68">Shin and Manthiram, 2022</xref>). Here, Shin and Manthiram find preferential interactions of Li with Ag (110) and Ag (111) surfaces, compared to Cu (111). This interaction suggests preferential alloying of Li with Ag forms Ag Li<sub>20</sub>, enhancing Li reversibility and Coulombic efficiency. In another joint experimental-DFT/AIMD study with an anode-free electrode made of branched polyethyleneimine, Ag nanoparticles, and LiNO<sub>3</sub>, deposited onto a Cu CC, Cho et al. use AIMD (size: 20 &#xd7; 20 &#xd7; 20 &#xc5;<sup>3</sup>) to find that the Li<sub>2</sub>O/Ag interfaces, which do not alloy as strongly compared to Li/Ag interfaces, can facilitate reversible alloying, uniform Li deposition, and increase capacity retention. However, the stable and facile formation of Li/Ag alloys are still necessary to act as buffers to prevent Li dendrite formation (<xref ref-type="bibr" rid="B11">Cho et al., 2022</xref>). The study demonstrates that AIMD can identify complex chemical interplay at mixed metallic/oxide interfaces in anode-free technology.</p>
<p>These studies of anode-free ASSB introduce an additional structure between the SSE and CC: a thin coating or intermediate layer, whether by construction (Li-alloys (<xref ref-type="bibr" rid="B59">Pande and Viswanathan, 2019</xref>)), or through chemical reaction (LiNO<sub>3</sub> decomposition (<xref ref-type="bibr" rid="B11">Cho et al., 2022</xref>)). The addition of this third layer has been modeled with multiscale approaches. Recently, Xie et al. combine DFT and continuum modeling to investigate the role of a thin Ag/C composite buffer layer (BL) in SSE &#x7c; BL &#x7c; CC (<xref ref-type="bibr" rid="B78">Xie et al., 2024</xref>). The computed first-principles phase diagram, including electronic energy, configurational entropy, and phonon free energy, shows remarkable solubility of Li in Ag, creating stable alloys up to AgLi<sub>25</sub>. At the end of lithiation, Ag nanoparticles precipitate out of the BL onto the CC due to lower interfacial resistance, homogenizing the current. The integration of DFT with continuum modeling connects the thermodynamic underpinnings with interlayer structure to explain the observed Ag extrusion onto the CC. More efforts along this direction of &#x201c;integrated atomistic to continuum mechanics&#x201d; could help resolve the multiscale evolution of anode-free, buffer-layer-integrated current collectors in ASSB.</p>
<p>Additionally, as is the case for the cathode &#x7c; SSE interface, including non-local charge transfer via MLIPs will also be critical at anode-free interfaces, as metallic Li deposition onto metallic buffer layers or current collectors means the electron is delocalized with respect to the deposited Li. For this reason, the modeling of metallic anode &#x7c; SSE interfaces will also benefit from advances in fourth-generation MLIPs.</p>
</sec>
</sec>
<sec id="s2">
<title>Summary of methods in interfacial modeling</title>
<p>We have discussed state-of-the-art methods for modeling grain boundaries and interfaces in ASSBs and pointed out their advantages and disadvantages. The takeaways are summarized in <xref ref-type="table" rid="T1">Table 1</xref>. Depending on the application of interest, <xref ref-type="table" rid="T1">Table 1</xref> shows that certain methods will be more advantageous than others. For example, studying primarily ion transport in SSE grain boundaries with fitted force fields may already be sufficient with CMD. However, if there is experimental or theoretical evidence that local charge transfer reactions need to be considered, MLIP MD simulations could be useful. On another hand, if non-local charge transfer is needing to be examined, (e.g., at electrode &#x7c; SSE interfaces), fourth generation MLIPs or AIMD may be the two methods of choice. In terms of cost and scalability, we refer a recent Review which discusses these tradeoffs in detail (<xref ref-type="bibr" rid="B38">Jacobs et al., 2025</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Pros and cons for each computational approach used to study bulk heterogeneities in solid-state interfaces.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Method</th>
<th align="left">Pros</th>
<th align="left">Cons</th>
<th align="left">Structures studied</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Classical MD</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; Large system sizes (10<sup>5</sup> atoms, 10 ns)</p>
</list-item>
<list-item>
<p>&#x2022; Captures ion diffusion</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; No electronic transport</p>
</list-item>
<list-item>
<p>&#x2022; Re-fitting required for new systems</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; SSE &#x7c; SSE GBs</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left">
<italic>ab initio</italic> MD</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; Captures mixed ionic and electronic transport</p>
</list-item>
<list-item>
<p>&#x2022; Captures chemical reactions (e.g., gas formation, alloying vs. oxide-forming behavior)</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; Limited sizes and structures considered (&#x223c;400 atoms, 100 ps)</p>
</list-item>
<list-item>
<p>&#x2022; Can require higher quality DFT</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; SSE &#x7c; SSE GBs</p>
</list-item>
<list-item>
<p>&#x2022; Electrode &#x7c; SSE interfaces</p>
</list-item>
<list-item>
<p>&#x2022; Electrode &#x7c; Electrode GBs</p>
</list-item>
</list>
</td>
</tr>
<tr>
<td align="left">MLIP MD</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; Can model high-angle grain boundaries (10<sup>3</sup> atoms, 10 ns)</p>
</list-item>
<list-item>
<p>&#x2022; Accuracy with respect to chosen electronic structure calculation</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; No explicit prediction of charge transfer (in second generation models)</p>
</list-item>
<list-item>
<p>&#x2022; No long-range charge transfer (i.e., no vetted fourth generation models)</p>
</list-item>
</list>
</td>
<td align="left">
<list list-type="simple">
<list-item>
<p>&#x2022; SSE &#x7c; SSE GBs</p>
</list-item>
<list-item>
<p>&#x2022; Electrode &#x7c; SSE interfaces</p>
</list-item>
<list-item>
<p>&#x2022; Electrode &#x7c; Electrode GBs</p>
</list-item>
</list>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2-1">
<title>Looking ahead: challenges and opportunities in explicit atomistic modeling in ASSBs</title>
<sec id="s2-1-1">
<title>Benchmarking open-source universal interatomic potentials</title>
<p>With the advent of open-source databases (dataset size), such as Materials Project (&#x223c;150k) (<xref ref-type="bibr" rid="B39">Jain et al., 2013</xref>), OQMD (1.2M) (<xref ref-type="bibr" rid="B45">Kirklin et al., 2015</xref>), AFLOW (3.5M) (<xref ref-type="bibr" rid="B13">Curtarolo et al., 2012</xref>), Alexandria (5M) (<xref ref-type="bibr" rid="B65">Schmidt et al., 2024</xref>), and OMat24 (118M) (<xref ref-type="bibr" rid="B4">Barroso-Luque et al., 2024</xref>), the development of open-source &#x201c;Universal&#x201d; MLIPs (U-MLIPs) fitted to most of the periodic table, has become possible. Starting in 2022, the first U-MLIP was developed by Chen and Ong (<xref ref-type="bibr" rid="B10">Chen and Ong, 2022</xref>). Trained across 187,000 energies, 16 million forces, and 1.6 million stresses from structural relaxation, the model is used to relax &#x223c;30 million hypothetical structures for materials discovery. These efforts have been followed by the release of several other open-source models featuring modified architectures and training data: CHGNet trained on Materials Project data and ionic relaxation (MPtrj) (<xref ref-type="bibr" rid="B20">Deng et al., 2023</xref>), MACE-MP also trained on MPtrj, EquiformerV2 models from OMat24 (<xref ref-type="bibr" rid="B4">Barroso-Luque et al., 2024</xref>), and MatPES (<xref ref-type="bibr" rid="B44">Kaplan et al., 2025</xref>). All of these U-MLIPs bring promise to reduce the overhead time in fitting interfacial ML models in ASSBs as well as be a pre-screening tool prior to costly DFT calculations. We refer the reader to a recent Review which discusses more U-MLIPs, including proprietary models (<xref ref-type="bibr" rid="B38">Jacobs et al., 2025</xref>).</p>
<p>Efforts to benchmark and/or improve U-MLIPs are already underway. Focassio et al. find that out-of-the-box performance of M3GNet, MACE-MP-0, and CHGNet are only modestly accurate predictors of surface energies for unary systems (<xref ref-type="bibr" rid="B24">Focassio et al., 2025</xref>). Fine-tuning MACE and M3GNet with publicly-available data from a previous benchmarking effort (<xref ref-type="bibr" rid="B90">Zuo et al., 2020</xref>) improves the accuracy of all models to the point of being comparable with models trained from scratch. However, the key takeaway is sufficient dataset coverage for the target space in the first place.</p>
<p>In a feasibility analysis, Kwon and Kim compare CHGNet and M3GNET with PBE on new cathode materials, Mn-substituted LiMn<sub>y</sub>Fe<sub>1-y</sub>PO<sub>4</sub> as a function of Mn content and find good alignment of both U-MLIP with PBE in that all predict solid solutions. Cation-disordered relative energies in rocksalt Li<sub>2</sub>TiO<sub>3</sub> and Li<sub>2</sub>TiS<sub>3</sub> are also reasonably produced. However, both CHGNet and M3GNET fail for the LiFePO<sub>4</sub> voltage profile, predicting a solid solution instead of a two-phase reaction, and underestimate the voltage (<xref ref-type="bibr" rid="B49">Kwon and Kim, 2024</xref>). Note that the results are consistent with the report by Deng et al., which finds that the electronic entropy (Fe<sup>2&#x2b;</sup>/Fe<sup>3&#x2b;</sup> disorder, not Li<sup>&#x2b;</sup>/vacancy disorder) is critical to converge on the two-phase reaction. The results suggest that U-MLIP is practical for expediting domain understanding, but not for replacing it.</p>
<p>Guo et al. examine diffusivity with M3GNET after comparing results with DFT-MD to set baselines for screening criteria (<xref ref-type="bibr" rid="B32">Guo et al., 2024</xref>). They discover 130 new candidates, after filtering for phase stability, mechanical compatibility, electrical conductivity, Li<sup>&#x2b;</sup> conductivity over 50 ps trajectories, electrochemical stability, and chemical reactivity. While M3GNET provides reasonable estimations to allow for efficient high-throughput screening, there is a systematic 150 meV underprediction of activation energy, resulting in overestimation of Li<sup>&#x2b;</sup> conductivity.</p>
<p>These findings indicate a persistent overstabilization of phases, which could be related to the &#x201c;softening&#x201d; effect of U-MLIP since training data are skewed toward equilibrium datasets (<xref ref-type="bibr" rid="B19">Deng et al., 2024</xref>). Nevertheless, prospects in the integration of U-MLIP for accelerated discovery and understanding of ASSBs remain bright, provided there are continuous advancements in release of open-source data and models and benchmarks on practical materials systems, such as surfaces and solid &#x7c; solid interfaces.</p>
</sec>
</sec>
<sec id="s2-2">
<title>New databases</title>
<p>The need for more challenging datasets to include non-equilibrium solid materials has been answered by a few teams: Zheng et al. present the <italic>ab initio</italic> amorphous materials database, consisting of a &#x2018;5000 K amorphous database&#x2019; with 5,120 compounds and with a similar coverage, chemically, with the Materials Project. Note that 69% of the compounds contain Li, making the dataset particularly suitable for ASSBs (<xref ref-type="bibr" rid="B87">Zheng et al., 2024</xref>).</p>
<p>The Open Materials 2024 (OMat24) database from Meta, consisting of 118 million single-point energy DFT PBE/PBE &#x2b; U calculations on non-equilibrium inorganic bulk materials, is the largest database to date. Barroso-Luque et al. show that pre-training an Equiformer V2 Model on OMat24, with additional fine-tuning on MPtrj and subsets of the Alexandria database, yields state-of-the-art results over the top-performing U-MLIPs (ORB MPtrj, SevenNet, MACE) (<xref ref-type="bibr" rid="B4">Barroso-Luque et al., 2024</xref>). Overall, the availability and amount of training data appear to develop more transferable models, increasing the urgency and importance of developing more robust, open datasets.</p>
</sec>
<sec id="s2-3">
<title>Integration with experiments</title>
<p>As introduced earlier, it is possible to grow controlled morphology of thick cathode crystals using electrodeposition from a molten salt bath (at 200&#x2013;300<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>C) (<xref ref-type="bibr" rid="B83">Zahiri et al., 2021</xref>) or epitaxial growth on a SrTiO<sub>3</sub> single crystal substrate (<xref ref-type="bibr" rid="B50">Lee et al., 2024</xref>). These capabilities can bridge the knowledge gap between crystal orientation and interfacial reactivities. For instance, it is now understood that interphase formation at the cathode &#x7c; SSE interface is important for thermal stability, but that not all cathode surfaces lead to interphase growth: The (104) NMC &#x7c; LLTO interface forms passive interlayers and inhibits future degradation whereas (003) NMC does not (<xref ref-type="bibr" rid="B50">Lee et al., 2024</xref>). As a result, (003) surfaces lead to side-reactions at elevated temperatures and extensive degradation. Future efforts bridging experiment and computation may enable targeted design of &#x201c;electrochemically resilient&#x201d; interfaces.</p>
<p>Collaborations can also provide synthesis and processing recommendations. Howard et al. carried out a joint computational-experimental study on LiMn<sub>2</sub>O<sub>4</sub>-LLTO cathode &#x7c; SSE interface and find that cation exchange is enthalpically favorable in (111) LiMn<sub>2</sub>O<sub>4</sub> &#x7c; (111) LLTO such that the interface becomes a trap for anti-site defects (<xref ref-type="bibr" rid="B100">Howard et al., 2022</xref>). Experiments using pulsed laser deposition corroborate this finding, and observe that above a critical temperature, the interface becomes blurred. Efforts to design ASSB with sharp interfaces should consider a maximal synthesis temperature such that interdiffusion is kinetically limited. Thus, these experimental-computational studies can expedite rational understanding of ASSBs that behave &#x201c;as designed&#x201d;.</p>
<p>Experiments are typically done at constant potential, meaning constant electrochemical potential of electrons. However, typical ASSB calculations enforce constant Li chemical potential. The authors believe this is partly because grand canonical ensemble DFT, useful for enforcing constant potential, is still an area of active development. For example, recently Melander et al. describe that by enforcing a local electrode inner potential, instead of a global electrochemical potential (proportional to the Fermi level of a given phase) which is the standard method for grand canonical DFT, they can model outer-sphere reactions that occur in weakly interacting solute-electrode systems (<xref ref-type="bibr" rid="B56">Melander et al., 2024</xref>). Outer-sphere reactions are completely missed by the global Fermi level model. While these studies are for aqueous solid &#x7c; liquid systems, they remain to be tested on ASSB interfaces. In summary, applying grand canonical DFT during AIMD studies of ASSB interfaces, and eventually to new generations of MLIPs, could also increase future collaborations with experiments since the effect of overpotentials can then directly be evaluated.</p>
<p>Entirely computationally-driven multiscale simulations are also being explored, and their success promises tighter integration with experiments. For example, as reviewed earlier, the Quantum Simulations Group at Livermore National Laboratory has studied chemo-mechanical effects of the garnet SSE Li<sub>7</sub>La<sub>3</sub>Zr<sub>2</sub>O<sub>12</sub> &#x7c; LiCoO<sub>2</sub> interface, guiding future processing conditions (<xref ref-type="bibr" rid="B23">Feng et al., 2024</xref>), (<xref ref-type="bibr" rid="B74">Wan et al., 2024</xref>). Validation with <italic>in operando</italic> measurements may enable construction of physically accurate, digital twin models capable of predicting and understanding battery performance <italic>in silico</italic>.</p>
<sec id="s2-3-1">
<title>Atomistic insights into degradation pathways inform recyclability</title>
<p>Scaling ASSBs will require not only electrochemical optimization but also materials circularity. However, as discussed earlier, degradation at interfaces can form a variety of decomposition products. In this section, we discuss how certain byproducts are beginning to pose different challenges for recycling.</p>
<p>For instance, we described how breakdown during cycling between LiCoO<sub>2</sub> (104) &#x3b2;-Li<sub>3</sub>PS<sub>4</sub> interface results in easy formation of interfacial reaction, involving both cation (Co, P) and anion (O, S) mixing (<xref ref-type="bibr" rid="B27">Gao et al., 2020</xref>). Polysulfide phases (e.g., P<sub>2</sub>S<sub>6</sub>
<sup>4-</sup>, Li<sub>2</sub>S<sub>x</sub>), found to varying degrees at different cathode &#x7c; &#x3b2;-Li<sub>3</sub>PS<sub>4</sub> interfaces (<xref ref-type="bibr" rid="B77">Wissel et al., 2024</xref>), exhibit intrinsically low solubility in both inorganic acids and organic solvents typically used in hydrometallurgical recycling processes (<xref ref-type="bibr" rid="B1">Adeoye et al., 2023</xref>). Their accumulation near the cathode&#x2013;electrolyte interface forms chemically inert, amorphous passivation layers that impede Li<sup>&#x2b;</sup> transport, hinders redox activity, and blocks mass transport of protons and metal ions (e.g., Li<sup>&#x2b;</sup>) to and from the underlying LiCoO<sub>2</sub> matrix (<xref ref-type="bibr" rid="B55">Marana et al., 2023</xref>). Such sulfide-rich interphases can critically suppress metal dissolution. In chalcopyrite systems, similar elemental sulfide, disulfide, and polysulfide layers have been shown to reduce Cu recovery to below 10% (<xref ref-type="bibr" rid="B76">Wei et al., 2023</xref>), suggesting comparable risks for ASSB recycling.</p>
<p>The presence of Al in spent ASSBs, such as through doping or via the current collector, poses a major problem for hydrometallurgical recovery. This is because after dissolution, Al precipitates as amorphous &#x3b3;-AlOOH at pH 4.5&#x2013;4.8 (<xref ref-type="bibr" rid="B47">Kordloo et al., 2025</xref>). The poorly crystalline phase has high surface area and adsorptive capacity, physical entrapping and chemisorbing Ni<sup>2&#x2b;</sup>, Co<sup>2&#x2b;</sup>, and Mn<sup>2&#x2b;</sup> at undercoordinated oxygen environments (<xref ref-type="bibr" rid="B89">Zou et al., 2024</xref>). This leads to transition metal losses during co-precipitation, consistent with the non-selective recovery of Co observed at both pH 8.5&#x2013;8.8 and 9.2&#x2013;9.5, ultimately reducing product purity and recovery efficiency (<xref ref-type="bibr" rid="B37">Ihrig et al., 2022</xref>). To address this, several studies recommend modifying solvent systems&#x2014;such as using organic acids (e.g., oxalic acid) or complexing agents&#x2014;to suppress Al dissolution, and implementing two-step strategies where Al is removed prior to transition metal leaching (<xref ref-type="bibr" rid="B66">Schneider et al., 2023</xref>). Others emphasize that pH control and tuning complexation equilibria are essential to minimize co-precipitation during downstream separation (<xref ref-type="bibr" rid="B54">Makwarimba et al., 2022</xref>). More recent solvometallurgical approaches using deep eutectic solvents have shown promise in selectively leaching Ni, Co, and Mn while avoiding Al(OH)<sub>3</sub> gel formation altogether (<xref ref-type="bibr" rid="B22">Ebrahimi et al., 2023</xref>). Taken together, these findings support the view that Al mitigation is critical, that solvent choice matters, and that future recycling strategies should focus on removing or passivating Al early in the process.</p>
<p>In summary, atomistic modeling that identify degradation products can begin to foreshadow downstream limitations using current recycling methods. Given that some degradation products are unavoidable, advancements in new recycling methods are critical (<xref ref-type="bibr" rid="B53">Ma et al., 2025</xref>).</p>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s3">
<title>Conclusion</title>
<p>We have reviewed the latest computational developments for explicit modeling of interfacial atomistics in ASSBs, focusing on works which use DFT, classical MD, <italic>ab initio</italic> MD, and machine learning potentials to uncover thermodynamic and kinetics in SSE &#x7c; SSE, cathode &#x7c; SSE, cathode &#x7c; cathode, and anode-free &#x7c; SSE interfaces. Given their multiscale nature, modeling of interfaces can reveal phenomena starting at the atomistic level: Classical MD with equivalent circuit models can illustrate the effect of grain size on macroscopic diffusion; AIMD simulations can uncover the onset of electronic and/or chemical degradation, (e.g., Li dendrite formation, gas evolution); ML potentials can model both transport and degradation mechanisms at nanometer-length and nanosecond-time scale. However, further work in methods and case studies are needed; urgent directions include development/deployment of fourth-generation machine learning potentials and benchmarking of machine learning potentials at solid &#x7c; solid interfaces. Additionally, we have discussed universal machine learning potentials, the release of challenging datasets, and directions for joint experimental-computation efforts as promising developments that will in parallel enable expedited and robust understanding of chemical, electronic, thermal, and mechanical evolution of ASSB interfaces. Continued dedicated efforts in these directions may achieve <italic>in silico</italic> insight into buried heterointerfaces at unprecedented length and time scales, accelerating practical adoption of ASSBs.</p>
</sec>
</body>
<back>
<sec sec-type="author-contributions" id="s4">
<title>Author contributions</title>
<p>JY: Conceptualization, Investigation, Writing &#x2013; original draft, Writing &#x2013; review and editing. XR: Investigation, Writing &#x2013; review and editing. AO: Writing &#x2013; review and editing, Investigation.</p>
</sec>
<sec sec-type="funding-information" id="s5">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. JY acknowledges support from startup funds at the Georgia Institute of Technology School of Chemical and Biomolecular Engineering.</p>
</sec>
<sec sec-type="COI-statement" id="s6">
<title>Conflict of interest</title>
<p>Author AO was employed by KLA Corporation.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s7">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s8">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Adeoye</surname>
<given-names>H. A.</given-names>
</name>
<name>
<surname>Dent</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Watts</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Tennison</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lekakou</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Solubility and dissolution kinetics of sulfur and sulfides in electrolyte solvents for lithium&#x2013;sulfur and sodium&#x2013;sulfur batteries</article-title>. <source>J. Chem. Phys.</source> <volume>158</volume> (<issue>6</issue>), <fpage>064702</fpage>. <pub-id pub-id-type="doi">10.1063/5.0132068</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Albertus</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Anandan</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Ban</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Balsara</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Belharouak</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Buettner-Garrett</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Challenges for and pathways toward Li-Metal-Based all-solid-state batteries</article-title>. <source>ACS Energy Lett.</source> <volume>6</volume> (<issue>4</issue>), <fpage>1399</fpage>&#x2013;<lpage>1404</lpage>. <pub-id pub-id-type="doi">10.1021/acsenergylett.1c00445</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Banerjee</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>E. A.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>Y. S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Interfaces and interphases in all-solid-state batteries with inorganic solid electrolytes</article-title>. <source>Chem. Rev.</source> <volume>120</volume> (<issue>14</issue>), <fpage>6878</fpage>&#x2013;<lpage>6933</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemrev.0c00101</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Barroso-Luque</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Shuaibi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wood</surname>
<given-names>B. M.</given-names>
</name>
<name>
<surname>Dzamba</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2024</year>). &#x201c;<source>Open materials 2024 (OMat24) inorganic materials dataset and models</source>&#x201d;</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behler</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Four generations of high-dimensional neural network potentials</article-title>. <source>Chem. Rev.</source> <volume>121</volume> (<issue>16</issue>), <fpage>10037</fpage>&#x2013;<lpage>10072</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemrev.0c00868</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Behler</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Parrinello</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Generalized neural-network representation of high-dimensional potential-energy surfaces</article-title>. <source>Phys. Rev. Lett.</source> <volume>98</volume> (<issue>14</issue>), <fpage>146401</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.98.146401</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Car</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Parrinello</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Unified approach for molecular dynamics and density-functional theory</article-title>. <source>Phys. Rev. Lett.</source> <volume>55</volume> (<issue>22</issue>), <fpage>2471</fpage>&#x2013;<lpage>2474</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.55.2471</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Carrasco</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>A theoretical perspective on solid-state ionic interfaces</article-title>. <source>Philosophical Trans. R. Soc. A Math. Phys. Eng. Sci.</source> <volume>382</volume> (<issue>2281</issue>), <fpage>20230313</fpage>. <pub-id pub-id-type="doi">10.1098/rsta.2023.0313</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ong</surname>
<given-names>S. P.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>A universal graph deep learning interatomic potential for the periodic table</article-title>. <source>Nat. Comput. Sci.</source> <volume>2</volume> (<issue>11</issue>), <fpage>718</fpage>&#x2013;<lpage>728</lpage>. <pub-id pub-id-type="doi">10.1038/s43588-022-00349-3</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cho</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>D. Y.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>G.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Highly reversible lithium host materials for high-energy-density anode-free lithium metal batteries</article-title>. <source>Adv. Funct. Mater</source> <volume>32</volume> (<issue>47</issue>), <fpage>2208629</fpage>. <pub-id pub-id-type="doi">10.1002/adfm.202208629</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cococcioni</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>de Gironcoli</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Linear response approach to the calculation of the effective interaction parameters in the method</article-title>. <source>Phys. Rev. B</source> <volume>71</volume> (<issue>3</issue>), <fpage>035105</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.71.035105</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Curtarolo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Setyawan</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Hart</surname>
<given-names>G. L.</given-names>
</name>
<name>
<surname>Jahnatek</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chepulskii</surname>
<given-names>R. V.</given-names>
</name>
<name>
<surname>Taylor</surname>
<given-names>R. H.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>AFLOW: an automatic framework for high-throughput materials discovery</article-title>. <source>Comput. Mater Sci.</source> <volume>58</volume>, <fpage>218</fpage>&#x2013;<lpage>226</lpage>. <pub-id pub-id-type="doi">10.1016/j.commatsci.2012.02.005</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dawson</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Canepa</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Clarke</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Famprikis</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ghosh</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>M. S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Toward understanding the different influences of grain boundaries on ion transport in sulfide and oxide solid electrolytes</article-title>. <source>Chem. Mater.</source> <volume>31</volume> (<issue>14</issue>), <fpage>5296</fpage>&#x2013;<lpage>5304</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemmater.9b01794</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dawson</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Canepa</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Famprikis</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Masquelier</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>M. S.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Atomic-scale influence of grain boundaries on Li-ion conduction in solid electrolytes for all-solid-state batteries</article-title>. <source>J. Am. Chem. Soc.</source> <volume>140</volume> (<issue>1</issue>), <fpage>362</fpage>&#x2013;<lpage>368</lpage>. <pub-id pub-id-type="doi">10.1021/jacs.7b10593</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dawson</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>M. S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>A nanoscale design approach for enhancing the Li-ion conductivity of the Li10GeP2S12 solid electrolyte</article-title>. <source>ACS Mater Lett.</source> <volume>4</volume> (<issue>2</issue>), <fpage>424</fpage>&#x2013;<lpage>431</lpage>. <pub-id pub-id-type="doi">10.1021/acsmaterialslett.1c00766</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dawson</surname>
<given-names>J. A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Going against the grain: atomistic modeling of grain boundaries in solid electrolytes for solid-state batteries</article-title>. <source>ACS Mater. Au</source> <volume>4</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>13</lpage>. <pub-id pub-id-type="doi">10.1021/acsmaterialsau.3c00064</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Demir</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Tekin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chan</surname>
<given-names>Y. T.</given-names>
</name>
<name>
<surname>Scheurer</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Reuter</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Luntz</surname>
<given-names>A. C.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Factors affecting the electron conductivity in single crystal Li7La3Zr2O12 and Li7P3S11</article-title>. <source>ACS Appl. Energy Mater</source> <volume>7</volume> (<issue>6</issue>), <fpage>2392</fpage>&#x2013;<lpage>2404</lpage>. <pub-id pub-id-type="doi">10.1021/acsaem.3c03092</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Deng</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Choi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Riebesell</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Anand</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <source>Overcoming systematic softening in universal machine learning interatomic potentials by fine-tuning</source>.</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Deng</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Zhong</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Jun</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Riebesell</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Bartel</surname>
<given-names>C. J.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>CHGNet as a pretrained universal neural network potential for charge-informed atomistic modelling</article-title>. <source>Nat. Mach. Intell.</source> <volume>5</volume> (<issue>9</issue>), <fpage>1031</fpage>&#x2013;<lpage>1041</lpage>. <pub-id pub-id-type="doi">10.1038/s42256-023-00716-3</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Deringer</surname>
<given-names>V. L.</given-names>
</name>
<name>
<surname>Caro</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Cs&#xe1;nyi</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Machine learning interatomic potentials as emerging tools for materials science</article-title>. <source>Adv. Mater.</source> <volume>31</volume> (<issue>46</issue>), <fpage>1902765</fpage>. <pub-id pub-id-type="doi">10.1002/adma.201902765</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ebrahimi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Kordloo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Khodadadmahmoudi</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Rezaei</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ganjali</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Azimi</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Solvometallurgical recycling of spent LiNixCoyMnzO2 (NCM) cathode material using ternary choline chloride-ethylene glycol-p-toluenesulfonic acid deep eutectic solvent</article-title>. <source>Hydrometallurgy</source> <volume>222</volume>, <fpage>106184</fpage>. <pub-id pub-id-type="doi">10.1016/j.hydromet.2023.106184</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Wan</surname>
<given-names>L. F.</given-names>
</name>
<name>
<surname>Wood</surname>
<given-names>B. C.</given-names>
</name>
<name>
<surname>Heo</surname>
<given-names>T. W.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Machine-learning-assisted deciphering of microstructural effects on ionic transport in composite materials: a case study of Li7La3Zr2O12-LiCoO2</article-title>. <source>Energy Storage Mater</source> <volume>73</volume>, <fpage>103776</fpage>. <pub-id pub-id-type="doi">10.1016/j.ensm.2024.103776</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Focassio</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Freitas</surname>
<given-names>L. P. M.</given-names>
</name>
<name>
<surname>Schleder</surname>
<given-names>G. R.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Performance assessment of universal machine learning interatomic potentials: challenges and directions for materials&#x2019; surfaces</article-title>. <source>ACS Appl. Mater Interfaces</source> <volume>17</volume> (<issue>9</issue>), <fpage>13111</fpage>&#x2013;<lpage>13121</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.4c03815</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gale</surname>
<given-names>J. D.</given-names>
</name>
<name>
<surname>Rohl</surname>
<given-names>A. L.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>The general utility lattice Program (GULP)</article-title>. <source>Mol. Simul.</source> <volume>29</volume> (<issue>5</issue>), <fpage>291</fpage>&#x2013;<lpage>341</lpage>. <pub-id pub-id-type="doi">10.1080/0892702031000104887</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lv</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Interface structure prediction via CALYPSO method</article-title>. <source>Sci. Bull. (Beijing)</source> <volume>64</volume> (<issue>5</issue>), <fpage>301</fpage>&#x2013;<lpage>309</lpage>. <pub-id pub-id-type="doi">10.1016/j.scib.2019.02.009</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Jalem</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Tateyama</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Li&#x2b; transport mechanism at the heterogeneous cathode/solid electrolyte interface in an all-solid-state battery via the first-principles structure prediction scheme</article-title>. <source>Chem. Mater.</source> <volume>32</volume> (<issue>1</issue>), <fpage>85</fpage>&#x2013;<lpage>96</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemmater.9b02311</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Jalem</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Tian</surname>
<given-names>H.-K.</given-names>
</name>
<name>
<surname>Tateyama</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Revealing atomic-scale ionic stability and transport around grain boundaries of garnet Li7La3Zr2O12 solid electrolyte</article-title>. <source>Adv. Energy Mater</source> <volume>12</volume> (<issue>3</issue>), <fpage>2102151</fpage>. <pub-id pub-id-type="doi">10.1002/aenm.202102151</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Golov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Lian</surname>
<given-names>J. X.</given-names>
</name>
<name>
<surname>Carrasco</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Interface stability and reaction mechanisms of Li3YCl5Br with high-voltage cathodes and Li metal anode: insights from <italic>ab initio</italic> simulations</article-title>. <source>ACS Appl. Mater Interfaces</source> <volume>16</volume>, <fpage>57870</fpage>&#x2013;<lpage>57877</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.4c12938</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gubler</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Finkler</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Sch&#xe4;fer</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Behler</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Goedecker</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Accelerating fourth-generation machine learning potentials using quasi-linear scaling particle mesh charge equilibration</article-title>. <source>J. Chem. Theory Comput.</source> <volume>20</volume>, <fpage>7264</fpage>&#x2013;<lpage>7271</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jctc.4c00334</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.-H.</given-names>
</name>
<name>
<surname>Gong</surname>
<given-names>X.-G.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Machine-learning assisted high-throughput discovery of solid-state electrolytes for Li-ion batteries</article-title>. <source>J. Mater. Chem. A</source> <volume>12</volume> (<issue>17</issue>), <fpage>10124</fpage>&#x2013;<lpage>10136</lpage>. <pub-id pub-id-type="doi">10.1039/D4TA00721B</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haruyama</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Sodeyama</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Takada</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Tateyama</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Space&#x2013;charge layer effect at interface between oxide cathode and sulfide electrolyte in all-solid-state lithium-ion battery</article-title>. <source>Chem. Mater.</source> <volume>26</volume> (<issue>14</issue>), <fpage>4248</fpage>&#x2013;<lpage>4255</lpage>. <pub-id pub-id-type="doi">10.1021/cm5016959</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>He</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Grain boundaries and their impact on Li kinetics in layered-oxide cathodes for Li-ion batteries</article-title>. <source>J. Phys. Chem. C</source> <volume>125</volume> (<issue>19</issue>), <fpage>10284</fpage>&#x2013;<lpage>10294</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpcc.1c02400</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heubner</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Maletti</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Auer</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>H&#xfc;ttl</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Voigt</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Lohrberg</surname>
<given-names>O.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>From lithium-metal toward anode-free solid-state batteries: current developments, issues, and challenges</article-title>. <source>Adv. Funct. Mater</source> <volume>31</volume> (<issue>51</issue>), <fpage>2106608</fpage>. <pub-id pub-id-type="doi">10.1002/adfm.202106608</pub-id>
</citation>
</ref>
<ref id="B100">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Howard</surname>
<given-names>J. D.</given-names>
</name>
<name>
<surname>Evmenenko</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Warburton</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Patel</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Fister</surname>
<given-names>T. T.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Understanding the solid-state electrode&#x2013;electrolyte interface of a model system using first-principles statistical mechanics and thin-film x-ray characterization</article-title>. <source>ACS Appl. Mater.</source> <volume>14</volume> (<issue>5</issue>). <pub-id pub-id-type="doi">10.1021/acsami.1c20988</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wen</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Dai</surname>
<given-names>F.-Z.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Grain boundary engineering in Nickel-rich cathode: a combination of high-throughput first-principles and interpretable machine learning study</article-title>. <source>Acta Mater</source> <volume>276</volume>, <fpage>120144</fpage>. <pub-id pub-id-type="doi">10.1016/j.actamat.2024.120144</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ihrig</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Finsterbusch</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Laptev</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Tu</surname>
<given-names>C. h.</given-names>
</name>
<name>
<surname>Tran</surname>
<given-names>N. T. T.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>C. a.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Study of LiCoO <sub>2</sub>/Li <sub>7</sub> La <sub>3</sub> Zr <sub>2</sub> O <sub>12</sub>:Ta interface degradation in all-solid-state lithium batteries</article-title>. <source>ACS Appl. Mater Interfaces</source> <volume>14</volume> (<issue>9</issue>), <fpage>11288</fpage>&#x2013;<lpage>11299</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.1c22246</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jacobs</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Morgan</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Attarian</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2025</year>). <article-title>A practical guide to machine learning interatomic potentials &#x2013; status and future</article-title>. <source>Curr. Opin. Solid State Mater Sci.</source> <volume>35</volume>, <fpage>101214</fpage>. <pub-id pub-id-type="doi">10.1016/j.cossms.2025.101214</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jain</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ong</surname>
<given-names>S. P.</given-names>
</name>
<name>
<surname>Hautier</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Richards</surname>
<given-names>W. D.</given-names>
</name>
<name>
<surname>Dacek</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Commentary: the Materials Project: a materials genome approach to accelerating materials innovation</article-title>. <source>Apl. Mater</source> <volume>1</volume> (<issue>1</issue>), <fpage>011002</fpage>. <pub-id pub-id-type="doi">10.1063/1.4812323</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jalem</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chandrappa</surname>
<given-names>M. L. H.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tateyama</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ong</surname>
<given-names>S. P.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Lithium dynamics at grain boundaries of &#x3b2;-Li <sub>3</sub> PS <sub>4</sub> solid electrolyte</article-title>. <source>Energy Adv.</source> <volume>2</volume> (<issue>12</issue>), <fpage>2029</fpage>&#x2013;<lpage>2041</lpage>. <pub-id pub-id-type="doi">10.1039/D3YA00234A</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Janek</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zeier</surname>
<given-names>W. G.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Challenges in speeding up solid-state battery development</article-title>. <source>Nat. Energy</source> <volume>8</volume> (<issue>3</issue>), <fpage>230</fpage>&#x2013;<lpage>240</lpage>. <pub-id pub-id-type="doi">10.1038/s41560-023-01208-9</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiao</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2025</year>). <article-title>Achieving high-performance defect-free LiCoO <sub>2</sub> cathode via a dopant-free approach</article-title>. <source>
<italic>J. Am. Chem. Soc</italic>. Jun</source> <volume>147</volume>, <fpage>22839</fpage>&#x2013;<lpage>22850</lpage>. <pub-id pub-id-type="doi">10.1021/jacs.5c05162</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jun</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wei</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Ceder</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Diffusion mechanisms of fast lithium-ion conductors</article-title>. <source>Nat. Rev. Mater</source> <volume>9</volume>, <fpage>887</fpage>&#x2013;<lpage>905</lpage>. <pub-id pub-id-type="doi">10.1038/s41578-024-00715-9</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Kaplan</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ko</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Riebesell</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2025</year>). <source>A foundational potential energy surface dataset for materials</source>.</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kirklin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Saal</surname>
<given-names>J. E.</given-names>
</name>
<name>
<surname>Meredig</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Thompson</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Doak</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Aykol</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies</article-title>. <source>NPJ Comput. Mater</source> <volume>1</volume> (<issue>1</issue>), <fpage>15010</fpage>. <pub-id pub-id-type="doi">10.1038/npjcompumats.2015.10</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ko</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Finkler</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Goedecker</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Behler</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Accurate fourth-generation machine learning potentials by electrostatic embedding</article-title>. <source>J. Chem. Theory Comput.</source> <volume>19</volume> (<issue>12</issue>), <fpage>3567</fpage>&#x2013;<lpage>3579</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jctc.2c01146</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kordloo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Khodadadmahmoudi</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Barati</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Rezaei</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Effect of leaching media on selective precipitation of Al, Ni, Co, and Mn in the NMC battery recycling process</article-title>. <source>Sep. Purif. Technol.</source> <volume>363</volume>, <fpage>132093</fpage>. <pub-id pub-id-type="doi">10.1016/j.seppur.2025.132093</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Krauskopf</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Richter</surname>
<given-names>F. H.</given-names>
</name>
<name>
<surname>Zeier</surname>
<given-names>W. G.</given-names>
</name>
<name>
<surname>Janek</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Physicochemical concepts of the lithium metal anode in solid-state batteries</article-title>. <source>Chem. Rev.</source> <volume>120</volume> (<issue>15</issue>), <fpage>7745</fpage>&#x2013;<lpage>7794</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemrev.0c00431</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kwon</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Machine learning interatomic potentials in engineering perspective for developing cathode materials</article-title>. <source>J. Mater. Chem. A</source> <volume>12</volume> (<issue>35</issue>), <fpage>23837</fpage>&#x2013;<lpage>23847</lpage>. <pub-id pub-id-type="doi">10.1039/D4TA03452J</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>J. Y.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Choi</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Unveiling crystal orientation-dependent interface property in composite cathodes for solid-state batteries by <italic>in situ</italic> microscopic probe</article-title>. <source>Nat. Commun.</source> <volume>15</volume> (<issue>1</issue>), <fpage>7947</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-024-52226-4</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Qi</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gadre</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Huyan</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ko</surname>
<given-names>S. T.</given-names>
</name>
<name>
<surname>Zuo</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Atomic-scale origin of the low grain-boundary resistance in perovskite solid electrolyte Li0.375Sr0.4375Ta0.75Zr0.25O3</article-title>. <source>Nat. Commun.</source> <volume>14</volume> (<issue>1</issue>), <fpage>1940</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-023-37115-6</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Luntz</surname>
<given-names>A. C.</given-names>
</name>
<name>
<surname>Voss</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Reuter</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Interfacial challenges in solid-state Li ion batteries</article-title>. <source>J. Phys. Chem. Lett.</source> <volume>6</volume> (<issue>22</issue>), <fpage>4599</fpage>&#x2013;<lpage>4604</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpclett.5b02352</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Meng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Bellonia</surname>
<given-names>M. V.</given-names>
</name>
<name>
<surname>Spangenberger</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Harper</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Gratz</surname>
<given-names>E.</given-names>
</name>
<etal/>
</person-group> (<year>2025</year>). <article-title>The evolution of lithium-ion battery recycling</article-title>. <source>Nat. Rev. Clean. Technol.</source> <volume>1</volume> (<issue>1</issue>), <fpage>75</fpage>&#x2013;<lpage>94</lpage>. <pub-id pub-id-type="doi">10.1038/s44359-024-00010-4</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Makwarimba</surname>
<given-names>C. P.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Assessment of recycling methods and processes for lithium-ion batteries</article-title>. <source>iScience</source> <volume>25</volume> (<issue>5</issue>), <fpage>104321</fpage>. <pub-id pub-id-type="doi">10.1016/j.isci.2022.104321</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marana</surname>
<given-names>N. L.</given-names>
</name>
<name>
<surname>Casassa</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sgroi</surname>
<given-names>M. F.</given-names>
</name>
<name>
<surname>Maschio</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Silveri</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>D&#x2019;Amore</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Stability and formation of the Li <sub>3</sub> PS <sub>4</sub>/Li, Li <sub>3</sub> PS <sub>4</sub>/Li <sub>2</sub> S, and Li <sub>2</sub> S/Li interfaces: a theoretical study</article-title>. <source>Langmuir</source> <volume>39</volume> (<issue>51</issue>), <fpage>18797</fpage>&#x2013;<lpage>18806</lpage>. <pub-id pub-id-type="doi">10.1021/acs.langmuir.3c02354</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Melander</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Weckman</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Honkala</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Constant inner potential DFT for modelling electrochemical systems under constant potential and bias</article-title>. <source>NPJ Comput. Mater</source> <volume>10</volume> (<issue>1</issue>), <fpage>5</fpage>. <pub-id pub-id-type="doi">10.1038/s41524-023-01184-4</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mori-S&#xe1;nchez</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Cohen</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Localization and delocalization errors in density functional theory and implications for band-gap prediction</article-title>. <source>Phys. Rev. Lett.</source> <volume>100</volume> (<issue>14</issue>), <fpage>146401</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.100.146401</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ou</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ikeda</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Scholz</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Divinski</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Fritzen</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Grabowski</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Atomistic modeling of bulk and grain boundary diffusion in solid electrolyte using machine-learning interatomic potentials</article-title>. <source>Phys. Rev. Mater</source> <volume>8</volume> (<issue>11</issue>), <fpage>115407</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevMaterials.8.115407</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pande</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Viswanathan</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Computational screening of current collectors for enabling anode-free lithium metal batteries</article-title>. <source>ACS Energy Lett.</source> <volume>4</volume> (<issue>12</issue>), <fpage>2952</fpage>&#x2013;<lpage>2959</lpage>. <pub-id pub-id-type="doi">10.1021/acsenergylett.9b02306</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Perdew</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Burke</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ernzerhof</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>Generalized gradient approximation made simple</article-title>. <source>Phys. Rev. Lett.</source> <volume>77</volume> (<issue>18</issue>), <fpage>3865</fpage>&#x2013;<lpage>3868</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.77.3865</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Perdew</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Levy</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>Physical content of the exact Kohn-Sham orbital energies: band gaps and derivative discontinuities</article-title>. <source>Phys. Rev. Lett.</source> <volume>51</volume> (<issue>20</issue>), <fpage>1884</fpage>&#x2013;<lpage>1887</lpage>. <pub-id pub-id-type="doi">10.1103/PhysRevLett.51.1884</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Petersen</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Gronenberg</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lener</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Leiva</surname>
<given-names>E. P. M.</given-names>
</name>
<name>
<surname>Luque</surname>
<given-names>G. L.</given-names>
</name>
<name>
<surname>Rostami</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Anode-free post-Li metal batteries</article-title>. <source>Mater Horiz.</source> <volume>11</volume>, <fpage>5914</fpage>&#x2013;<lpage>5945</lpage>. <pub-id pub-id-type="doi">10.1039/D4MH00529E</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Quirk</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Dawson</surname>
<given-names>J. A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Design principles for grain boundaries in solid-state lithium-ion conductors</article-title>. <source>Adv. Energy Mater</source> <volume>13</volume> (<issue>32</issue>), <fpage>2301114</fpage>. <pub-id pub-id-type="doi">10.1002/aenm.202301114</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sanchez</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Dasgupta</surname>
<given-names>N. P.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Lithium metal anodes: advancing our mechanistic understanding of cycling phenomena in liquid and solid electrolytes</article-title>. <source>J. Am. Chem. Soc.</source> <volume>146</volume> (<issue>7</issue>), <fpage>4282</fpage>&#x2013;<lpage>4300</lpage>. <pub-id pub-id-type="doi">10.1021/jacs.3c05715</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schmidt</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Cerqueira</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Romero</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Loew</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>J&#xe4;ger</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H. C.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Improving machine-learning models in materials science through large datasets</article-title>. <source>Mater. Today Phys.</source> <volume>48</volume>, <fpage>101560</fpage>. <pub-id pub-id-type="doi">10.1016/j.mtphys.2024.101560</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schneider</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kiyek</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Finsterbusch</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yagmurlu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Goldmann</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Acid leaching of Al- and Ta-substituted Li7La3Zr2O12 (LLZO) solid electrolyte</article-title>. <source>Met. (Basel)</source> <volume>13</volume> (<issue>5</issue>), <fpage>834</fpage>. <pub-id pub-id-type="doi">10.3390/met13050834</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Seymour</surname>
<given-names>I. D.</given-names>
</name>
<name>
<surname>Qu&#xe9;rel</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Brugge</surname>
<given-names>R. H.</given-names>
</name>
<name>
<surname>Pesci</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Aguadero</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Understanding and engineering interfacial adhesion in solid-state batteries with metallic anodes</article-title>. <source>ChemSusChem</source> <volume>16</volume> (<issue>12</issue>), <fpage>e202202215</fpage>. <pub-id pub-id-type="doi">10.1002/cssc.202202215</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shin</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Manthiram</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Fast and simple Ag/Cu ion exchange on Cu foil for anode-free lithium-metal batteries</article-title>. <source>ACS Appl. Mater Interfaces</source> <volume>14</volume> (<issue>15</issue>), <fpage>17454</fpage>&#x2013;<lpage>17460</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.2c01980</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uhrin</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zadoks</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Binci</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Marzari</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Timrov</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Machine learning Hubbard parameters with equivariant neural networks</article-title>. <source>NPJ Comput. Mater</source> <volume>11</volume> (<issue>1</issue>), <fpage>19</fpage>. <pub-id pub-id-type="doi">10.1038/s41524-024-01501-5</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Unke</surname>
<given-names>O. T.</given-names>
</name>
<name>
<surname>Chmiela</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sauceda</surname>
<given-names>H. E.</given-names>
</name>
<name>
<surname>Gastegger</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Poltavsky</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Sch&#xfc;tt</surname>
<given-names>K. T.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Machine learning force fields</article-title>. <source>Chem. Rev.</source> <volume>121</volume> (<issue>16</issue>), <fpage>10142</fpage>&#x2013;<lpage>10186</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemrev.0c01111</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Urata</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bertani</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Pedone</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Applications of machine-learning interatomic potentials for modeling ceramics, glass, and electrolytes: a review</article-title>. <source>J. Am. Ceram. Soc.</source> <volume>107</volume> (<issue>12</issue>), <fpage>7665</fpage>&#x2013;<lpage>7691</lpage>. <pub-id pub-id-type="doi">10.1111/jace.19934</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Voelcker</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Honda takes first step toward making its own solid-state batteries</article-title>. <source>Car Driv.</source>
</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wan</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Yuan</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Heo</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Wood</surname>
<given-names>B. C.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Understanding interfacial degradation in all solid-state lithium batteries from multiscale simulations</article-title>. <source>PRiME</source>, <fpage>313</fpage>. <pub-id pub-id-type="doi">10.1149/ma2024-022313mtgabs</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Aykol</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Mueller</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Nature of the amorphous&#x2013;amorphous interfaces in solid-state batteries revealed using machine-learned interatomic potentials</article-title>. <source>Chem. Mater.</source> <volume>35</volume> (<issue>16</issue>), <fpage>6346</fpage>&#x2013;<lpage>6356</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemmater.3c00993</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wei</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>An improved understanding of chalcopyrite leaching mechanisms: the influence of anisotropic crystal planes</article-title>. <source>Minerals</source> <volume>13</volume> (<issue>11</issue>), <fpage>1461</fpage>. <pub-id pub-id-type="doi">10.3390/min13111461</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wissel</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Haben</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>K&#xfc;ster</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Starke</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Kautenburger</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ensinger</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Direct recycling of &#x3b2;&#x2010;Li <sub>3</sub> PS <sub>4</sub> &#x2010;based all&#x2010;solid&#x2010;state Li&#x2010;ion batteries: interactions of electrode materials and electrolyte in a dissolution&#x2010;based separation process</article-title>. <source>Adv. Energy Sustain. Res.</source> <volume>5</volume> (<issue>7</issue>). <pub-id pub-id-type="doi">10.1002/aesr.202300280</pub-id>
</citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xie</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Diallo</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Tu</surname>
<given-names>Q. H.</given-names>
</name>
<name>
<surname>Ceder</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The microscopic mechanism of lithiation and delithiation in the Ag/C buffer layer for anode-free solid-state batteries</article-title>. <source>Adv. Energy Mater</source> <volume>14</volume> (<issue>10</issue>), <fpage>2302960</fpage>. <pub-id pub-id-type="doi">10.1002/aenm.202302960</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Kuai</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Qin</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Charge distribution guided by grain crystallographic orientations in polycrystalline battery materials</article-title>. <source>Nat. Commun.</source> <volume>11</volume> (<issue>1</issue>), <fpage>83</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-019-13884-x</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Xiao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.-G.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.-M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Intragranular cracking as a critical barrier for high-voltage usage of layer-structured cathode for lithium-ion batteries</article-title>. <source>Nat. Commun.</source> <volume>8</volume> (<issue>1</issue>), <fpage>14101</fpage>. <pub-id pub-id-type="doi">10.1038/ncomms14101</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Siegel</surname>
<given-names>D. J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Grain boundary contributions to Li-ion transport in the solid electrolyte Li7La3Zr2O12 (LLZO)</article-title>. <source>Chem. Mater.</source> <volume>29</volume> (<issue>22</issue>), <fpage>9639</fpage>&#x2013;<lpage>9647</lpage>. <pub-id pub-id-type="doi">10.1021/acs.chemmater.7b02805</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Manthiram</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>A review of composite polymer-ceramic electrolytes for lithium batteries</article-title>. <source>Energy Storage Mater</source> <volume>34</volume>, <fpage>282</fpage>&#x2013;<lpage>300</lpage>. <pub-id pub-id-type="doi">10.1016/j.ensm.2020.10.006</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zahiri</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Patra</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kiggins</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yong</surname>
<given-names>A. X. B.</given-names>
</name>
<name>
<surname>Ertekin</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Cook</surname>
<given-names>J. B.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Revealing the role of the cathode&#x2013;electrolyte interface on solid-state batteries</article-title>. <source>Nat. Mater</source> <volume>20</volume> (<issue>10</issue>), <fpage>1392</fpage>&#x2013;<lpage>1400</lpage>. <pub-id pub-id-type="doi">10.1038/s41563-021-01016-0</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Omenya</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Whittingham</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Rock-salt growth-induced (003) cracking in a layered positive electrode for Li-ion batteries</article-title>. <source>ACS Energy Lett.</source> <volume>2</volume> (<issue>11</issue>), <fpage>2607</fpage>&#x2013;<lpage>2615</lpage>. <pub-id pub-id-type="doi">10.1021/acsenergylett.7b00907</pub-id>
</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kitchaev</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Dacek</surname>
<given-names>S. T.</given-names>
</name>
<name>
<surname>Sarmiento-P&#xe9;rez</surname>
<given-names>R. A.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Efficient first-principles prediction of solid stability: towards chemical accuracy</article-title>. <source>NPJ Comput. Mater</source> <volume>4</volume> (<issue>1</issue>), <fpage>9</fpage>. <pub-id pub-id-type="doi">10.1038/s41524-018-0065-z</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>H. D.</given-names>
</name>
<name>
<surname>Cohen</surname>
<given-names>A. E.</given-names>
</name>
<name>
<surname>Lim</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Fraggedakis</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Learning heterogeneous reaction kinetics from X-ray videos pixel by pixel</article-title>. <source>Nature</source> <volume>621</volume> (<issue>7978</issue>), <fpage>289</fpage>&#x2013;<lpage>294</lpage>. <pub-id pub-id-type="doi">10.1038/s41586-023-06393-x</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Sivonxay</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Gallant</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>McDermott</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Huck</surname>
<given-names>P.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <source>The ab initio amorphous materials database: empowering machine learning to decode diffusivity</source>.</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Cococcioni</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Marianetti</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Morgan</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Ceder</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2004</year>).&#x201c;<article-title>First-principles prediction of redox potentials in transition-metal compounds with &#x24;&#x5c;mathrm{LDA}&#x2b;U&#x24;</article-title>,&#x201d; <source>Phys. Rev. B</source> <volume>70</volume> (<issue>23</issue>), <fpage>235121</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.70.235121</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zou</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chernyaev</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Seisko</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sainio</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lundstr&#xf6;m</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Removal of iron and aluminum from hydrometallurgical NMC-LFP recycling process through precipitation</article-title>. <source>Min. Eng.</source> <volume>218</volume>, <fpage>109037</fpage>. <pub-id pub-id-type="doi">10.1016/j.mineng.2024.109037</pub-id>
</citation>
</ref>
<ref id="B90">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zuo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Behler</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Performance and cost assessment of machine learning interatomic potentials</article-title>. <source>J. Phys. Chem. A</source> <volume>124</volume> (<issue>4</issue>), <fpage>731</fpage>&#x2013;<lpage>745</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jpca.9b08723</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>