{"title":"三角形晶格上的杰纳斯类粒子形成的有序结构。","authors":"Andrzej Patrykiejew","doi":"10.3390/molecules29215215","DOIUrl":null,"url":null,"abstract":"<p><p>The formation of ordered structures by Janus-like particles, composed of two parts (A and B), with orientation-dependent interactions on a triangular lattice was studied using Monte Carlo methods. The assumed lattice model allows each particle to take on one of the six orientations. The interaction between the A parts of neighboring particles was assumed to be attractive, while the AB and BB interactions were assumed to be repulsive. Moreover, it was assumed that the interaction between a pair of neighboring particles depended on the degrees to which their AA, AB, and BB parts face each other. It was shown that several ordered phases of different densities and structures may appear, depending on the magnitudes of AB and BB interactions. In particular, we found several structures composed of small clusters consisting of three (OT), four (OR), and seven (<i>S</i>) particles, surrounded by empty sites, the lamellar phases (OL, OL1, and OL3), the structures with hexagonal symmetry (R3×3 and <i>K</i>), as well as the structures with more complex symmetry (R5×5 and LAD). Several phase diagrams were evaluated, which demonstrated that the stability regions of different ordered phases are primarily determined by the strengths of repulsive AB and BB interactions.</p>","PeriodicalId":19041,"journal":{"name":"Molecules","volume":"29 21","pages":""},"PeriodicalIF":4.2000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11547329/pdf/","citationCount":"0","resultStr":"{\"title\":\"The Ordered Structures Formed by Janus-like Particles on a Triangular Lattice.\",\"authors\":\"Andrzej Patrykiejew\",\"doi\":\"10.3390/molecules29215215\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The formation of ordered structures by Janus-like particles, composed of two parts (A and B), with orientation-dependent interactions on a triangular lattice was studied using Monte Carlo methods. The assumed lattice model allows each particle to take on one of the six orientations. The interaction between the A parts of neighboring particles was assumed to be attractive, while the AB and BB interactions were assumed to be repulsive. Moreover, it was assumed that the interaction between a pair of neighboring particles depended on the degrees to which their AA, AB, and BB parts face each other. It was shown that several ordered phases of different densities and structures may appear, depending on the magnitudes of AB and BB interactions. In particular, we found several structures composed of small clusters consisting of three (OT), four (OR), and seven (<i>S</i>) particles, surrounded by empty sites, the lamellar phases (OL, OL1, and OL3), the structures with hexagonal symmetry (R3×3 and <i>K</i>), as well as the structures with more complex symmetry (R5×5 and LAD). Several phase diagrams were evaluated, which demonstrated that the stability regions of different ordered phases are primarily determined by the strengths of repulsive AB and BB interactions.</p>\",\"PeriodicalId\":19041,\"journal\":{\"name\":\"Molecules\",\"volume\":\"29 21\",\"pages\":\"\"},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-11-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11547329/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Molecules\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://doi.org/10.3390/molecules29215215\",\"RegionNum\":2,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"BIOCHEMISTRY & MOLECULAR BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Molecules","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.3390/molecules29215215","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BIOCHEMISTRY & MOLECULAR BIOLOGY","Score":null,"Total":0}
引用次数: 0
摘要
我们使用蒙特卡洛方法研究了由两部分(A 和 B)组成的类似杰纳斯的粒子在三角形晶格上形成有序结构的情况。假定的晶格模型允许每个粒子采用六种取向中的一种。相邻粒子 A 部分之间的相互作用被假定为吸引性的,而 AB 和 BB 部分之间的相互作用被假定为排斥性的。此外,还假设一对相邻粒子之间的相互作用取决于它们的 AA、AB 和 BB 部分相互面对的程度。研究表明,根据 AB 和 BB 相互作用的大小,可能会出现几种不同密度和结构的有序相。特别是,我们发现了几种由三个(OT)、四个(OR)和七个(S)粒子组成的小簇所构成的结构,其周围是空位、片状相(OL、OL1 和 OL3)、六边形对称结构(R3×3 和 K)以及更复杂的对称结构(R5×5 和 LAD)。对几种相图进行了评估,结果表明不同有序相的稳定区域主要由 AB 和 BB 排斥相互作用的强度决定。
The Ordered Structures Formed by Janus-like Particles on a Triangular Lattice.
The formation of ordered structures by Janus-like particles, composed of two parts (A and B), with orientation-dependent interactions on a triangular lattice was studied using Monte Carlo methods. The assumed lattice model allows each particle to take on one of the six orientations. The interaction between the A parts of neighboring particles was assumed to be attractive, while the AB and BB interactions were assumed to be repulsive. Moreover, it was assumed that the interaction between a pair of neighboring particles depended on the degrees to which their AA, AB, and BB parts face each other. It was shown that several ordered phases of different densities and structures may appear, depending on the magnitudes of AB and BB interactions. In particular, we found several structures composed of small clusters consisting of three (OT), four (OR), and seven (S) particles, surrounded by empty sites, the lamellar phases (OL, OL1, and OL3), the structures with hexagonal symmetry (R3×3 and K), as well as the structures with more complex symmetry (R5×5 and LAD). Several phase diagrams were evaluated, which demonstrated that the stability regions of different ordered phases are primarily determined by the strengths of repulsive AB and BB interactions.
期刊介绍:
Molecules (ISSN 1420-3049, CODEN: MOLEFW) is an open access journal of synthetic organic chemistry and natural product chemistry. All articles are peer-reviewed and published continously upon acceptance. Molecules is published by MDPI, Basel, Switzerland. Our aim is to encourage chemists to publish as much as possible their experimental detail, particularly synthetic procedures and characterization information. There is no restriction on the length of the experimental section. In addition, availability of compound samples is published and considered as important information. Authors are encouraged to register or deposit their chemical samples through the non-profit international organization Molecular Diversity Preservation International (MDPI). Molecules has been launched in 1996 to preserve and exploit molecular diversity of both, chemical information and chemical substances.