The effect of the size and shape on the bond number of quantum dots and its relationship with thermodynamic properties

Li, H.; Xiao, Hao-Jie; Zhu, Tian-Shu; Xuan, Haicheng; Li, M.

doi:10.1039/c5cp02086g

Cited by 19 publications

(12 citation statements)

References 40 publications

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“…For the nanoalloys embedded in a substrate, there may be a incoherent, semicoherent or coherent interface, which would induce different tendency (supercooling or superheating) like single-component counterparts with a different interface. 42,43 The interface effect will be considered in further studies.…”

Section: Resultsmentioning

confidence: 99%

Modeling the melting temperature of nanoscaled bimetallic alloys

Zhu

2016

Phys. Chem. Chem. Phys.

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The effect of size, composition and dimension on the melting temperature of nanoscaled bimetallic alloys was investigated by considering the interatomic interaction. The established thermodynamics model without any arbitrarily adjustable parameters can be used to predict the melting temperature of nanoscaled bimetallic alloys. It is found that, the melting temperature and interatomic interaction of nanoscaled bimetallic alloys decrease with the decrease in size and the increasing composition of the lower surface energy metal. Moreover, for the nanoscaled bimetallic alloys with the same size and composition, the dependence of the melting temperature on the dimension can be sequenced as follows: nanoparticles > nanowires > thin films. The accuracy of the developed model is verified by the recent experimental and computer simulation results.

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Section: Resultsmentioning

confidence: 99%

Modeling the melting temperature of nanoscaled bimetallic alloys

Zhu

2016

Phys. Chem. Chem. Phys.

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“…Considering the essentiality of T m ( x , D , d ) in describing variations in some basic properties, ,,− the present model can aid the quantitative investigation of some basic problems in the study of NCs. The present model is only suitable for NCs with regular shapes (spherical NPs, cylindrical NWs, and thin NFs) and not NCs with irregular shapes (e.g., icosahedron, dodecahedron, octahedron, cube, and tetrahedron). − For NCs with the same size, dimensionality, interface conditions, and composition, different shapes result in different values of A / V and different energetic states of the surface atoms. Under such conditions, T m ( x , D , d ) will represent different variation degrees, revealing a marked shape effect.…”

Section: Results and Discussionmentioning

confidence: 99%

A Comprehensive Understanding of the Melting Temperature of Nanocrystals: Implications for Catalysis

Chen

et al. 2020

ACS Appl. Nano Mater.

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The melting temperature of nanocrystals, an important property determining the thermal stability and catalytic activity of nanocatalysts, can be tailored by manipulating the size, dimensionality, interface, and composition. Although many studies have been performed on this topic, a comprehensive understanding of the melting temperature of nanocrystals remains deficient. To clarify the synergistic influences of the aforementioned parameters, a thermodynamic model is established from the perspective of the Gibbs free energy along with the size-dependent interface energy. The established model, containing no adjustable parameters, is valid for determining the melting temperature of nanocrystals (singlecomponent nanocrystals or binary nanoalloys) of different sizes, dimensionalities, interface conditions, and compositions. Subsequently, the model calculations are compared with the corresponding experimental and simulation values. The observed consistency between the former and the latter confirms the validity and universality of the established model, which provides an opportunity to better understand the melting behaviors of nanocrystals.

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“…An effect can be called shape effect only if it depends purely and simply on the characteristic shape of the system. Generally in literature, aspect ratios or geometric structures are considered as indicators of shape characteristics of a domain 26,47,48,[50][51][52][53] . However, when aspect ratio of a domain changes, size variables also change along with shape.…”

Section: Resultsmentioning

confidence: 99%

“…Although there are some studies in literature mentioning the phrase "quantum shape effects", none of them are related with thermodynamics and all of them in fact study the size and shape effects together without considering the shape effects alone, since they define the shape by aspect ratios or geometric structure (e.g. rectangular, circular) of the domain 26,[45][46][47][48][49][50][51][52][53] . However, in those cases, at least one of the size variables (V, A, P, NV ) also changes and it's not possible to analyze shape effects solely.…”

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confidence: 99%

Quantum shape effects and novel thermodynamic behaviors at nanoscale

Aydin

Şişman

2019

Physics Letters A

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Thermodynamic properties of confined systems depend on sizes of the confinement domain due to quantum nature of particles. Here we show that shape also enters as a control parameter on thermodynamic state functions. By considering specially designed confinement domains, we separate the influences of quantum size and shape effects from each other and demonstrate how shape effects alone modify Helmholtz free energy, entropy and internal energy of a confined system. We propose an overlapped quantum boundary layer method to analytically predict quantum shape effects without even solving Schrödinger equation or invoking any other mathematical tools. Thereby we reduce a thermodynamic problem into a simple geometric one and reveal the profound link between geometry and thermodynamics. We report also a torque due to quantum shape effects. Furthermore, we introduce isoformal, shape preserving, process which opens the possibility of a new generation of thermodynamic cycles operating at nanoscale with unique features. arXiv:1807.02415v1 [cond-mat.mes-hall]

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The effect of the size and shape on the bond number of quantum dots and its relationship with thermodynamic properties

Cited by 19 publications

References 40 publications

Modeling the melting temperature of nanoscaled bimetallic alloys

Modeling the melting temperature of nanoscaled bimetallic alloys

A Comprehensive Understanding of the Melting Temperature of Nanocrystals: Implications for Catalysis

Quantum shape effects and novel thermodynamic behaviors at nanoscale

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