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            <front>

                <journal-meta>
                                                                <journal-id>estuscience - se</journal-id>
            <journal-title-group>
                                                                                    <journal-title>Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2667-4211</issn>
                                                                                                        <publisher>
                    <publisher-name>Eskisehir Technical University</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.18038/estubtda.1821872</article-id>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Atomic and Molecular Physics</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Atom ve Molekül Fiziği</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>GAUSSIAN APPROXIMATION POTENTIALS FOR FUNCTIONALIZED Pt–Cu NANOPARTICLES</article-title>
                                                                                                                                                                                                <trans-title-group xml:lang="tr">
                                    <trans-title>GAUSSIAN APPROXIMATION POTENTIALS FOR FUNCTIONALIZED Pt–Cu NANOPARTICLES</trans-title>
                                </trans-title-group>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-7801-4566</contrib-id>
                                                                <name>
                                    <surname>Demiroğlu</surname>
                                    <given-names>İlker</given-names>
                                </name>
                                                                    <aff>ESKİŞEHİR TEKNİK ÜNİVERSİTESİ</aff>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0002-0651-1392</contrib-id>
                                                                <name>
                                    <surname>Kocabaş</surname>
                                    <given-names>Tuğbey</given-names>
                                </name>
                                                                    <aff>ESKISEHIR TECHNICAL UNIVERSİTY</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20260327">
                    <day>03</day>
                    <month>27</month>
                    <year>2026</year>
                </pub-date>
                                        <volume>27</volume>
                                        <issue>1</issue>
                                        <fpage>166</fpage>
                                        <lpage>177</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20251111">
                        <day>11</day>
                        <month>11</month>
                        <year>2025</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20260206">
                        <day>02</day>
                        <month>06</month>
                        <year>2026</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2000, Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering</copyright-statement>
                    <copyright-year>2000</copyright-year>
                    <copyright-holder>Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>Bimetallic Pt–Cu nanoparticles are promising catalysts for oxidation and hydrogenation reactions due to their tunable electronic and geometric properties. However, first-principles simulations of realistic nanoparticle sizes remain computationally prohibitive. In this study, Gaussian Approximation Potential (GAP) models were developed for Pt–Cu nanoparticles functionalized with a single O2 or CO molecule, achieving near-DFT accuracy in energies and forces while drastically reducing computational cost. The training dataset, derived from ab initio molecular dynamics (AIMD) trajectories at 300–1000 K, spans various morphologies (pure, core–shell, Janus, and ordered alloys) and particle sizes (38–260 atoms), capturing both thermal and structural fluctuations representative of realistic catalytic conditions. The resulting GAP models successfully reproduce DFT-level energetics and atomic forces with root-mean-square errors below 0.4 meV atom-1 for energies and 70 meV Å-1 for forces, without overfitting to any specific morphology. AIMD simulations reveal that alloying Pt with Cu enhances thermal and mechanical stability, with core–shell and Janus configurations maintaining ordered atomic coordination up to 1000 K. Radial distribution function (RDF) analysis confirms that short-range order persists at elevated temperatures, ensuring structural integrity under reactive conditions. These results demonstrate that machine-learning-based interatomic potentials provide a robust and transferable framework for exploring adsorption-driven restructuring, morphology evolution, and catalytic stability of Pt–Cu nanoparticles beyond the accessible limits of conventional DFT.</p></abstract>
                                                                                                                                    <trans-abstract xml:lang="tr">
                            <p>Bimetallic Pt–Cu nanoparticles are promising catalysts for oxidation and hydrogenation reactions due to their tunable electronic and geometric properties. However, first-principles simulations of realistic nanoparticle sizes remain computationally prohibitive. In this study, Gaussian Approximation Potential (GAP) models were developed for Pt–Cu nanoparticles functionalized with a single O2 or CO molecule, achieving near-DFT accuracy in energies and forces while drastically reducing computational cost. The training dataset, derived from ab initio molecular dynamics (AIMD) trajectories at 300–1000 K, spans various morphologies (pure, core–shell, Janus, and ordered alloys) and particle sizes (38–260 atoms), capturing both thermal and structural fluctuations representative of realistic catalytic conditions. The resulting GAP models successfully reproduce DFT-level energetics and atomic forces with root-mean-square errors below 0.4 meV atom-1 for energies and 70 meV Å-1 for forces, without overfitting to any specific morphology. AIMD simulations reveal that alloying Pt with Cu enhances thermal and mechanical stability, with core–shell and Janus configurations maintaining ordered atomic coordination up to 1000 K. Radial distribution function (RDF) analysis confirms that short-range order persists at elevated temperatures, ensuring structural integrity under reactive conditions. These results demonstrate that machine-learning-based interatomic potentials provide a robust and transferable framework for exploring adsorption-driven restructuring, morphology evolution, and catalytic stability of Pt–Cu nanoparticles beyond the accessible limits of conventional DFT.</p></trans-abstract>
                                                            
            
                                                            <kwd-group>
                                                    <kwd>PtCu nanoparticles</kwd>
                                                    <kwd>  Bimetallic alloys</kwd>
                                                    <kwd>  Machine learning</kwd>
                                                    <kwd>  Gaussian Approximation Potential</kwd>
                                                    <kwd>  Molecular dynamics</kwd>
                                            </kwd-group>
                                                        
                                                                            <kwd-group xml:lang="tr">
                                                    <kwd>PtCu nanoparticles</kwd>
                                                    <kwd>  Bimetallic alloys</kwd>
                                                    <kwd>  Machine learning</kwd>
                                                    <kwd>  Gaussian Approximation Potential</kwd>
                                                    <kwd>  Molecular dynamics</kwd>
                                            </kwd-group>
                                                                                                        <funding-group specific-use="FundRef">
                    <award-group>
                                                                            <award-id>122Z736</award-id>
                                            </award-group>
                </funding-group>
                                </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1]	Ferrando R, Jellinek J, Johnston RL. Nanoalloys: From theory to applications of alloy clusters and nanoparticles. Vol. 108, Chemical Reviews. American Chemical Society; 2008. p. 845–910.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2]	Zaleska-Medynska A, Marchelek M, Diak M, Grabowska E. Noble metal-based bimetallic nanoparticles: The effect of the structure on the optical, catalytic and photocatalytic properties. Adv Colloid Interface Sci. 2016 Mar 1;229:80–107.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3]	Haruta M, Kobayashi T, Sano H, Yamada N. Novel Gold Catalysts for the Oxidation of Carbon Monoxide at a Temperature far Below 0 °C. Chem Lett [Internet]. 1987 Feb 5;16(2):405–8. Available from: https://doi.org/10.1246/cl.1987.405</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4]	Yan N, Xiao C, Kou Y. Transition metal nanoparticle catalysis in green solvents. Vol. 254, Coordination Chemistry Reviews. 2010. p. 1179–218.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5]	Luneau M, Lim JS, Patel DA, Sykes ECH, Friend CM, Sautet P. Guidelines to Achieving High Selectivity for the Hydrogenation of α,β-Unsaturated Aldehydes with Bimetallic and Dilute Alloy Catalysts: A Review. Vol. 120, Chemical Reviews. American Chemical Society; 2020. p. 12834–72.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6]	Demiroglu I, Li ZY, Piccolo L, Johnston RL. A DFT study of molecular adsorption on Au-Rh nanoalloys. Catal Sci Technol. 2016;6(18):6916–31.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7]	Demiroglu I, Li ZY, Piccolo L, Johnston RL. A DFT study of molecular adsorption on titania-supported AuRh nanoalloys. Comput Theor Chem. 2017 May 1;1107:142–51.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8]	Piccolo L, Li ZY, Demiroglu I, Moyon F, Konuspayeva Z, Berhault G, et al. Understanding and controlling the structure and segregation behaviour of AuRh nanocatalysts. Sci Rep. 2016 Oct 14;6.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9]	Reuter Karsten and Stampf C and SM. AB Initio Atomistic Thermodynamics and Statistical Mechanics of Surface Properties and Functions. In: Yip S, editor. Handbook of Materials Modeling: Methods [Internet]. Dordrecht: Springer Netherlands; 2005. p. 149–94. Available from: https://doi.org/10.1007/978-1-4020-3286-8_10</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10]	Konuspayeva Z, Berhault G, Afanasiev P, Nguyen TS, Giorgio S, Piccolo L. Monitoring: In situ the colloidal synthesis of AuRh/TiO2 selective-hydrogenation nanocatalysts. J Mater Chem A Mater. 2017;5(33):17360–7.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11]	Baletto F, Ferrando R. Structural properties of nanoclusters: Energetic, thermodynamic, and kinetic effects. 2005.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12]	Jortner J. Atoms, Molecules and Clusters Cluster size effects. Vol. 24, Z. Phys. D-Atoms, Molecules and Clusters. 1992.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13]	Hammer B, Norskov JK. Why gold is the noblest of all the metals. Nature [Internet]. 1995;376(6537):238–40. Available from: https://doi.org/10.1038/376238a0</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14]	Deringer VL, Caro MA, Csányi G. Machine Learning Interatomic Potentials as Emerging Tools for Materials Science. Advanced Materials [Internet]. 2019;31(46):1902765. Available from: https://advanced.onlinelibrary.wiley.com/doi/abs/10.1002/adma.201902765</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15]	Behler J. Perspective: Machine learning potentials for atomistic simulations. J Chem Phys [Internet]. 2016 Nov 1;145(17):170901. Available from: https://doi.org/10.1063/1.4966192</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16]	Zhang L, Han J, Wang H, Car R, E W. Deep Potential Molecular Dynamics: A Scalable Model with the Accuracy of Quantum Mechanics. Phys Rev Lett [Internet]. 2018 Apr 4;120(14):143001. Available from: https://link.aps.org/doi/10.1103/PhysRevLett.120.143001</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17]	Demiroğlu İ, Karaaslan Y, Kocabaş T, Keçeli M, Vázquez-Mayagoitia Á, Sevik C. Computation of the Thermal Expansion Coefficient of Graphene with Gaussian Approximation Potentials. Journal of Physical Chemistry C. 2021 Jul 8;125(26):14409–15.</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">[18]	Dragoni D, Daff TD, Csányi G, Marzari N. Achieving DFT accuracy with a machine-learning interatomic potential: Thermomechanics and defects in bcc ferromagnetic iron. Phys Rev Mater [Internet]. 2018 Jan 30;2(1):13808. Available from: https://link.aps.org/doi/10.1103/PhysRevMaterials.2.013808</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">[19]	Szlachta WJ, Bartók AP, Csányi G. Accuracy and transferability of Gaussian approximation potential models for tungsten. Phys Rev B Condens Matter Mater Phys. 2014 Sep 24;90(10).</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">[20]	Kaya D, Demiroglu I, Isik IB, Isik HH, Çetin SK, Sevik C, et al. Highly active bimetallic Pt–Cu nanoparticles for the electrocatalysis of hydrogen evolution reactions: Experimental and theoretical insight. Int J Hydrogen Energy [Internet]. 2023;48(95):37209–23. Available from: https://www.sciencedirect.com/science/article/pii/S0360319923029592</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">[21]	Perdew JP, Burke K, Ernzerhof M. Generalized Gradient Approximation Made Simple. 1996.</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">[22]	Kresse G, Hafner J. Ab initio molecular dynamics for liquid metals. Phys Rev B [Internet]. 1993 Jan 1;47(1):558–61. Available from: https://link.aps.org/doi/10.1103/PhysRevB.47.558</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">[23]	Kresse G, Joubert D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys Rev B [Internet]. 1999 Jan 15;59(3):1758–75. Available from: https://link.aps.org/doi/10.1103/PhysRevB.59.1758</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">[24]	Bartõk AP, Csányi G. Gaussian approximation potentials: A brief tutorial introduction. Int J Quantum Chem [Internet]. 2015 Aug 15 [cited 2025 Oct 27];115(16):1051–7. Available from: /doi/pdf/10.1002/qua.24927</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">[25]	Thiemann FL, Rowe P, Müller EA, Michaelides A. Machine Learning Potential for Hexagonal Boron Nitride Applied to Thermally and Mechanically Induced Rippling. Journal of Physical Chemistry C. 2020;124(40):22278–90.</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">[26]	Tovey S, Narayanan Krishnamoorthy A, Sivaraman G, Guo J, Benmore C, Heuer A, et al. DFT Accurate Interatomic Potential for Molten NaCl from Machine Learning. Journal of Physical Chemistry C. 2020 Nov 25;124(47):25760–8.</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">[27]	Deringer VL, Bartók AP, Bernstein N, Wilkins DM, Ceriotti M, Csányi G. Gaussian Process Regression for Materials and Molecules. Vol. 121, Chemical Reviews. American Chemical Society; 2021. p. 10073–141.</mixed-citation>
                    </ref>
                                    <ref id="ref28">
                        <label>28</label>
                        <mixed-citation publication-type="journal">[28]	Li CH, Li MC, Liu SP, Jamison AC, Lee D, Lee TR, et al. Plasmonically Enhanced Photocatalytic Hydrogen Production from Water: The Critical Role of Tunable Surface Plasmon Resonance from Gold-Silver Nanoshells. ACS Appl Mater Interfaces. 2016 Apr 27;8(14):9152–61.</mixed-citation>
                    </ref>
                                    <ref id="ref29">
                        <label>29</label>
                        <mixed-citation publication-type="journal">[29]	Rosenbrock CW, Gubaev K, Shapeev A V., Pártay LB, Bernstein N, Csányi G, et al. Machine-learned interatomic potentials for alloys and alloy phase diagrams. NPJ Comput Mater. 2021 Dec 1;7(1).</mixed-citation>
                    </ref>
                                    <ref id="ref30">
                        <label>30</label>
                        <mixed-citation publication-type="journal">[30]	Rowe P, Deringer VL, Gasparotto P, Csányi G, Michaelides A. An accurate and transferable machine learning potential for carbon. Journal of Chemical Physics. 2020 Jul 21;153(3).</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
