The particle size dependence of cohesive energy of metallic nanoparticles

Qi, Weihong; Wang, M.P.; Gong, Xu

doi:10.1016/s0009-2614(03)00470-6

Cited by 104 publications

(56 citation statements)

References 8 publications

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“…For a nanocrystal wholly embedded in the matrix, b ¼ 1 and k ¼ 1; for an isolated crystal, b ¼ 0 and k ¼ 0. This model improves agreement between modeling calculations and measurement than their previous assumption that the surface atomic cohesive energy is E B /4 [251].…”

Section: Outstanding Modelsmentioning

confidence: 60%

Size dependence of nanostructures: Impact of bond order deficiency

Sun

2007

Progress in Solid State Chemistry

816

717

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Section: Outstanding Modelsmentioning

confidence: 60%

Size dependence of nanostructures: Impact of bond order deficiency

Sun

2007

Progress in Solid State Chemistry

816

717

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“…It is well known that the melting point decrease by decreasing the size of materials (Qi, et al, 2003). The decrement of the melting point ΔT for a nanoparticle of diameter d is expressed as follows (Ragone, 1995): …”

Section: Low Temperature Bondingmentioning

confidence: 99%

Low Temperature Bonding of Metals by Deposition of Nanoparticles at the Interface

Takiya¹,

Fukuda²,

Umezu³

et al. 2012

APR

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Copper nanopartices having some tens nanometer in diameter were prepared by pulsed laser ablation in a helium background gas to form active interface of copper-to-copper bonding. The nanoparticles deposited on Cu plate were annealed in hydrogen gas atmosphere. The sintering starts from below 473 K and boundary of nanoparticles was hardly observed above 673 K. Bonding of copper-to-copper metal pieces has been carried out by deposition of copper nanoparticles on the test piece as active interface followed by annealing at 673 K. The measured shear strength of the copper-to-copper bonding was 106 MPa, which is much higher value than that when solder was used as bonding material. The sintering process of Cu nanoparticles is discussed.

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“…In kinetic sense, a reduction in kinetic activation barrier results and it takes less external energy to cause a phase transformation. Many models exist which develop our understanding of the mechanism of melting temperature lowering due to reduction in particle size, cohesive energy‐based models to predict thermodynamic properties of metallic nanoparticles . But only a few attempts have been made to study the thermodynamics of solid‐solid phase transformations of nanocrystalline binary metal oxides.…”

Section: Introductionmentioning

confidence: 99%

“…Many models exist which develop our understanding of the mechanism of melting temperature lowering due to reduction in particle size, 7 cohesive energy-based models to predict thermodynamic properties of metallic nanoparticles. 8,9 But only a few attempts have been made to study the thermodynamics of solid-solid phase transformations of nanocrystalline binary metal oxides. Theoretical values for anatase to rutile transformation tempera-ture 10 were calculated to be between 600 and 800 K at a critical particle size of 14 nm.…”

Section: Introductionmentioning

confidence: 99%

Polymorphic Phase Transitions in Nanocrystalline Binary Metal Oxides

Sood

Gouma

2012

J. Am. Ceram. Soc.

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Binary metal oxides occur in different polymorphic states under applied pressure and temperature. Structural changes occur due to polymorphic transitions in binary metal oxides. It is essential to theoretically predict the conditions of polymorphic transitions so that materials can be effectively used in engineering applications. Temperature and pressure are the two main factors affecting the bulk state phase transformation of materials. For nanomaterials, it has been observed that particle size and temperature are the main factors affecting the phase transformation, e.g., γ‐Fe2O3 to α‐Fe2O3, monoclinic to orthorhombic transformation in MoO3, anatase to rutile transformation in Titania, γ to α Alumina transformation. We compile from literature the main factors which affect the phase stability of a nanocrystalline binary metal oxide. A heuristic approach to formulate particle size is put forth. Factors like surface energy, surface tension, and particle shape are considered, and a value for critical particle size is formulated. The model fits well with the experimental results for nanocrystalline alumina, titania, zirconia, and Fe2O3. Such an approach can be applied to predict the particle size‐dependent stability of a phase at known temperature range.

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The particle size dependence of cohesive energy of metallic nanoparticles

Cited by 104 publications

References 8 publications

Size dependence of nanostructures: Impact of bond order deficiency

Size dependence of nanostructures: Impact of bond order deficiency

Low Temperature Bonding of Metals by Deposition of Nanoparticles at the Interface

Polymorphic Phase Transitions in Nanocrystalline Binary Metal Oxides

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