<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20241031//EN"
        "https://jats.nlm.nih.gov/publishing/1.4/JATS-journalpublishing1-4.dtd">
<article  article-type="research-article"        dtd-version="1.4">
            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Karaelmas Fen ve Mühendislik Dergisi</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2146-7277</issn>
                                                                                                        <publisher>
                    <publisher-name>Zonguldak Bülent Ecevit Üniversitesi</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id pub-id-type="doi">10.7212/karaelmasfen.950373</article-id>
                                                                                                                                                                                            <title-group>
                                                                                                                        <trans-title-group xml:lang="en">
                                    <trans-title>The Investigation of the Relationship Between Geometrical Growth and Melting Behavior of NiN (N=6-55) Clusters</trans-title>
                                </trans-title-group>
                                                                                                                                                                                                <article-title>NiN (N=6-55) Kümelerinin Geometrik Büyümesi ile Erime Davranışı İlişkisinin İncelenmesi</article-title>
                                                                                                    </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0001-7826-3829</contrib-id>
                                                                <name>
                                    <surname>Eryürek</surname>
                                    <given-names>Meral</given-names>
                                </name>
                                                                    <aff>Zonguldak Bülent Ecevit Üniversitesi</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20220601">
                    <day>06</day>
                    <month>01</month>
                    <year>2022</year>
                </pub-date>
                                        <volume>12</volume>
                                        <issue>1</issue>
                                        <fpage>15</fpage>
                                        <lpage>21</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20210610">
                        <day>06</day>
                        <month>10</month>
                        <year>2021</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20210617">
                        <day>06</day>
                        <month>17</month>
                        <year>2021</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2011, Karaelmas Fen ve Mühendislik Dergisi</copyright-statement>
                    <copyright-year>2011</copyright-year>
                    <copyright-holder>Karaelmas Fen ve Mühendislik Dergisi</copyright-holder>
                </permissions>
            
                                                                                                <trans-abstract xml:lang="en">
                            <p>The melting behavior of NiN (N=6-55) clusters was studied, as well as the growing behavior of geometric shapes with the lowestenergy acquired when each atom was added. This was accomplished using the microcanonical Molecular Dynamics (MD) simulationapproach, which employs the Sutton-Chen potential in interparticle interactions. The heat capacity curves were calculated using themultiple histogram method with the caloric curves from MD simulation and the square root of the mean squared (δrms) of the bondlengthfluctuations. How do the heat capacity curves which calculated using the multiple histogram method behave when the atomicnumber increases and the relations of the clusters with the most stable geometries were determined. The maximums of heat capacitycurves corresponding of δ(rms) phase transition region and the graph of change by atomic number for the energy difference betweenglobal minumum and first isomers have been investigated and N=13, 19, 38, 48, 50, 55 clusters were found to be the most stable sizes</p></trans-abstract>
                                                                                                                                    <abstract><p>NiN (N=6-55) kümelerinin her bir atom eklendiğinde elde edilen minimum enerjili geometrik yapılarının büyüme davranışı ile birlikteerime davranışı incelenmiştir. Bunun için parçacıklar arası etkileşmelerde Sutton-Chen potansiyelinin kullanıldığı mikrokanonikMoleküler Dinamik (MD) simülasyon yönteminden faydalanılmıştır. MD simülasyonundan elde edilen bağ uzunluğundakidalgalanmaların kare ortalamasının karekökü δ(rms) ile çoklu histogram yöntemi kullanılarak hesaplanan ısı kapasitesi eğrilerinin,atom sayısı arttığında nasıl bir davranış gösterdikleri ve kümelerin en kararlı geometrileri ile olan ilişkileri belirlenmiştir. δ(rms) lerin fazgeçiş bölgesine karşılık gelen, ısı kapasitesi eğrilerinin maksimumları ve global minimumları ile birinci izomerlerinin enerji farklarınınatom sayısına bağlı değişim grafikleri incelenmiş ve N=13, 19, 38, 48, 50, 55 kümelerinin en kararlı yapıda olduğu bulunmuştur.</p></abstract>
                                                            
            
                                                                                        <kwd-group>
                                                    <kwd>Kümeler</kwd>
                                                    <kwd>  Nikel</kwd>
                                                    <kwd>  Erime</kwd>
                                                    <kwd>  Moleküler Dinamik</kwd>
                                                    <kwd>  Termodinamik</kwd>
                                                    <kwd>  Sutton-Chen Potansiyeli</kwd>
                                                    <kwd>  Çoklu Histogram Yöntemi.</kwd>
                                            </kwd-group>
                            
                                                <kwd-group xml:lang="en">
                                                    <kwd>Clusters</kwd>
                                                    <kwd>  Nickel</kwd>
                                                    <kwd>  Melting</kwd>
                                                    <kwd>  Molecular dynamics</kwd>
                                                    <kwd>  Thermodynamics</kwd>
                                                    <kwd>  Sutton-chen potential</kwd>
                                                    <kwd>  Multiple histogram methods</kwd>
                                            </kwd-group>
                                                                                                                                        </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">Aguado, A.,Jarrold, M.F. 2011. Melting and Freezing of Metal Clusters. Annu. Rev. Phys. Chem., 62: 151-72. https://doi.org/10.1146/annurev-physchem-032210-103454.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">Calvo, F., Labastie, P. 1995. Configurational density of states from molecular dynamics simulations. Chem. Phys. Lett., 247: 395-400. https://doi.org/10.1016/S0009-2614(95)01226-5.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">Cezar, H.M., Rondina, G.G., Silva, J.L.F. 2019. Thermodynamic properties of 55-atom Pt-based nanoalloys: Phase changes and structural effects on the electronic properties J. Chem. Phys., 151: 204301. https://doi.org/10.1063/1.5125689.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">Doye, J.P.K., Meyer, L. 2005. Mapping the magic numbers in binary Lennard-Jones clusters. Phys Rev Lett. 95(6): 063401. https://doi.org/10.1103/physrevlett.95.063401.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">Doye, J.P.K., Wales, D.J., 1998. Global minima for transition metal clusters described by Sutton-Chen potentials. New J. Chem., 22: 733-744. https://doi.org/10.1039/A709249K.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">Eryürek, M. 2005. Simülasyon Yöntemleriyle Kümelerin Termodinamik Niceliklerinin Belirlenmesi. Doktora Tezi, Zonguldak Karaelmas Üniversitesi, 20s. https://tez.yok.gov.tr/UlusalTezMerkezi/tarama.jsp, tez no: 168576.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">Eryürek, M., Güven, MH. 2008. Peculiar thermodynamic properties of LJ N (N = 39-55) clusters. Eur. Phys. J. D, 48 (2): 221-228. https://dx.doi.org/10.1140/epjd/e2008-00094-2.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">Frantz, DD., 2001. Magic number behavior for heat capacities of medium-sized classical Lennard-Jones clusters. J. Chem. Phys., 115: 6136. https://doi.org/10.1063/1.1397329.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">Guvenc, Z.B., Jellinek, J., Voter, A.F. 1991. Phase changes in nickel clusters from an embedded-atom potential. Int. Symp. on the Phys. and Chem. of finite sys.: from clusters to crystals, Richmond, VA (United States). https://doi.org/10.1021/jp962720r.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">Güvenç, Z.B., Güvenç, D., Jellinek, J. 1999. Structural Forms and Energies of NiN, N=12-14, Clusters. Math. Com. App., 4(1): 75-81. https://doi.org/10.3390/mca4010075.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">Haberland, H. 2000. Melting of Clusters. Springer, Les Houches, Session LXXIII pp. 3-26.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">Hamming, R.W. 1959. Predictor-Corrector Methods for Ordinary Differential Equations. J. ACM, 6 (1): 37-47. https://doi.org/10.1145/320954.320958.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">Hewage1, J.W., Rupika, W.L., Amar, F.G. 2012. Structure, dynamic and energetic of mixed transition metal clusters: A computational study of mixed clusters of silver and nickel. Eur. Phys. J. D, 66: 282. https://doi.org/10.1140/epjd/e2012-20691-6.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">Kaatz, F. H., Bultheel, A. 2018. Size, shape, and compositional effects on the order-disorder phase transitions in Au-Cu and Pt-M (M = Fe, Co, and Ni) nanocluster alloys. Nanotechnology 29: 345701. https://doi.org/10.1088/1361-6528/aac6b4.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">Kirkpatrick, S., Gelatt, C. D., Vecchi, Jr., M. P. 1983. Optimization by Simulated Annealing. Science, 220 (4598): 671-680. http://dx.doi.org/10.1126/science.220.4598.671.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">Labastie, P., Whetten, RL. 1990. Statistical Thermodynamics of the Cluster Solid-Liquid Transition. Phys. Rev. Lett. 65: 1567-1570. https://doi.org/10.1103/physrevlett.65.1567.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">Li, T.T., He, C., Zhang, W.X., Cheng, M. 2018. Structural and melting properties of Cu-Ni clusters: A simulation study. J. All. Com. 752:76-84. https://doi.org/10.1016/j.jallcom.2018.04.145.</mixed-citation>
                    </ref>
                                    <ref id="ref18">
                        <label>18</label>
                        <mixed-citation publication-type="journal">Lloyd, L.D., Johnston, R.L. 1998. Modelling aluminium clusters with an empirical many-body potential. Chem. Phys.,15:107-121. https://doi.org/10.1016/S0301-0104(98)00180-3.</mixed-citation>
                    </ref>
                                    <ref id="ref19">
                        <label>19</label>
                        <mixed-citation publication-type="journal">Lu, S., Zhang, J., Duan, H. 2009. Melting behaviors of CoN (N = 13, 14, 38, 55, 56) clusters. Chem. Phys,. 363: 7-12. https://doi.org/10.1016/j.chemphys.2009.06.010.</mixed-citation>
                    </ref>
                                    <ref id="ref20">
                        <label>20</label>
                        <mixed-citation publication-type="journal">Lyalin, A., Hussien, A., Solov&#039;yov, A.V., Greiner, W. 2009. Impurity effect on the melting of nickel clusters as seen via molecular dynamics simulations. Phys. Rev. B, 79: 165403. https://doi.org/10.1103/PhysRevB.79.165403.</mixed-citation>
                    </ref>
                                    <ref id="ref21">
                        <label>21</label>
                        <mixed-citation publication-type="journal">Nayak, Saroj K., Khanna, S. N., Rao, B. K., Jena, P. 1997. Physics of Nickel Clusters:? Energetics and Equilibrium Geometries. Phys. Chem. A, 101 (6): 1072-1080. https://doi.org/10.1021/jp962720r.</mixed-citation>
                    </ref>
                                    <ref id="ref22">
                        <label>22</label>
                        <mixed-citation publication-type="journal">Noya, E.G., Doye, J.P.K., Wales, D.J., Aguado, A. 2007. Geometric magic numbers of sodium clusters: Interpretation of the melting behaviour. Eur. Phys. J. D 43(1):57-60. https://doi.org/10.1140/epjd%2Fe2007-00092-x.</mixed-citation>
                    </ref>
                                    <ref id="ref23">
                        <label>23</label>
                        <mixed-citation publication-type="journal">Oderji, H.Y., Ding, H. 2011. Determination of melting mechanism of Pd24Pt14 nanoalloy by multiple histogram method via molecular dynamics simulations. Chem. Phys., 388: 23-30. https://doi.org/10.1016/j.chemphys.2011.07.011.</mixed-citation>
                    </ref>
                                    <ref id="ref24">
                        <label>24</label>
                        <mixed-citation publication-type="journal">Teng, Y., Zeng, X.,  Zhang, H., Sun, D. 2007. Melting and Glass Transition for Ni Clusters. J. Phys. Chem. B, 111 (9): 2309-2312. https://doi.org/10.1021/jp070061k.</mixed-citation>
                    </ref>
                                    <ref id="ref25">
                        <label>25</label>
                        <mixed-citation publication-type="journal">Wei, C., Zhao, Z., Fisher, A.,Zhu, J., Cheng, D. 2016. Theoretical Study on the Structures and Thermal Properties of Ag-Pt-Ni Trimetallic Clusters. J. Clust. Sci., 27:1849-1861. https://link.springer.com/article/10.1007/s10876-016-1068-x.</mixed-citation>
                    </ref>
                                    <ref id="ref26">
                        <label>26</label>
                        <mixed-citation publication-type="journal">Wu, X., Chen, S., Sun, S., Chen, Y. 2012. Geometrical structures of gold clusters on Gupta and Sutton-Chen potentials. Com. Theor. Chem., 1002 (15): 43-48 https://doi.org/10.1016/j.comptc.2012.10.001.</mixed-citation>
                    </ref>
                                    <ref id="ref27">
                        <label>27</label>
                        <mixed-citation publication-type="journal">Yıldırım, E.K., Atiş, M., Güvenç, Z.B. 2005. Structure and dynamical properties of AuN, N=12-14 clusters: Molecular dynamics simulation. Int. J. Mod. Phys. C, 16(01): 99-116. https://doi.org/10.1142/S0129183105006966.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
