Surface-area-difference model for thermodynamic properties of metallic nanocrystals

Qi, Weihong; Wang, M P; Zhou, Mingjun; Hu, Wangyu

doi:10.1088/0022-3727/38/9/016

Cited by 85 publications

(70 citation statements)

References 27 publications

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“…It has been shown that many material properties such as electrical, optical, and thermodynamic are affected if a material's dimensions are reduced to the nanoscale [25]- [29]. Also, experimental evidence has recently shown that the electrical resistance of thin-film conductors in general or thin-film platinum RTDs in particular do not behave exactly as bulk materials [30]- [33].…”

Section: Discussionmentioning

confidence: 99%

Evaluating the Resistivity-Temperature Relationship for RTDs and Other Conductors

Lacy

2011

IEEE Sensors J.

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It has long been established from experimental evidence that resistance temperature detectors (RTDs) and conductors in bulk form have an electrical resistivity that is a linear function of temperature. Although this experimental data has existed for some time, there has not been a straightforward model to explain the mechanisms leading to this relationship. In order to better understand the nature of this relationship, a microscopic model is needed so that analysis of the electrons in the material can be performed. Therefore, a theoretical framework using solid-state physics and quantum mechanics principles is presented and developed to obtain an equation for bulk conductors that relates resistivity to temperature. It is then shown that this newly developed equation produces a linear relationship for conductors and provides a very good match with experimental data obtained from platinum and nickel RTDs. Therefore, this newly developed theoretical model provides great insight into the mechanisms of experimental findings.Index Terms-Callendar-van Dusen, conductivity, mean free path, resistance temperature detector (RTD), temperature sensor.

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Section: Discussionmentioning

confidence: 99%

Evaluating the Resistivity-Temperature Relationship for RTDs and Other Conductors

Lacy

2011

IEEE Sensors J.

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“…The experimental size-dependence of the cohesive energy for low-dimensional systems for Mo and W NCs was reported for the first time in 2002 [19], while the size-dependence of the melting temperature has been known already for a long time [4,5]. Also, the vacancy formation energy is size-dependent in low-dimensional systems [23]. Vacancies are very important defects in materials, and have a remarkable effect on the physics of materials, such as electrical resistance and heat capacity.…”

Section: Theoretical Model Simulations and Discussionmentioning

confidence: 99%

Thermodynamic Properties of Supported and Embedded Metallic Nanocrystals: Gold on/in SiO2

et al. 2008

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We report on the calculations of the cohesive energy, melting temperature and vacancy formation energy for Au nanocrystals with different size supported on and embedded in SiO2. The calculations are performed crossing our previous data on the surface free energy of the supported and embedded nanocrystals with the theoretical surface-area-difference model developed by W. H. Qi for the description of the size-dependent thermodynamics properties of low-dimensional solid-state systems. Such calculations are employed as a function of the nanocrystals size and surface energy. For nanocrystals supported on SiO2, as results of the calculations, we obtain, for a fixed nanocrystal size, an almost constant cohesive energy, melting temperature and vacancy formation energy as a function of their surface energy; instead, for those embedded in SiO2, they decreases when the nanocrystal surface free energy increases. Furthermore, the cohesive energy, melting temperature and vacancy formation energy increase when the nanocrystal size increases: for the nanocrystals on SiO2, they tend to the values of the bulk Au; for the nanocrystals in SiO2 in correspondence to sufficiently small values of their surface energy, they are greater than the bulk values. In the case of the melting temperature, this phenomenon corresponds to the experimentally well-known superheating process.

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“…The interesting point is that the F values are higher, for each fixed E, when decreasing the film thickness h. This fact can be easily understood considering that the temperature T reached by the metal film increases when the film thickness decreases. It could be due to the increase of the metal film reflectivity increasing the film thickness (see, for example, [81,82]) and to quantum confinement effects (see, for example, [83]). So, synthesizing: the E=0.5-1.5 J/cm 2 nanosecond laser irradiation causes the 12.1 and 19.5 nmthick Pt film dewetting and Pt NPs boiling at a temperature T>T B , Pt .…”

Section: Resultsmentioning

confidence: 99%

Metal nanostructures with complex surface morphology: The case of supported lumpy Pd and Pt nanoparticles produced by laser processing of metal films

Ruffino

Maugeri

Cacciato

et al. 2016

Physica E: Low-dimensional Systems and Nanostructures

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Surface-area-difference model for thermodynamic properties of metallic nanocrystals

Cited by 85 publications

References 27 publications

Evaluating the Resistivity-Temperature Relationship for RTDs and Other Conductors

Evaluating the Resistivity-Temperature Relationship for RTDs and Other Conductors

Thermodynamic Properties of Supported and Embedded Metallic Nanocrystals: Gold on/in SiO2

Metal nanostructures with complex surface morphology: The case of supported lumpy Pd and Pt nanoparticles produced by laser processing of metal films

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