MODELING THE MELTING TEMPERATURE OF METALLIC NANOWIRES

2010 ◽  
Vol 24 (22) ◽  
pp. 2345-2356 ◽  
Author(s):  
Y. J. LI ◽  
W. H. QI ◽  
B. Y. HUANG ◽  
M. P. WANG ◽  
S. Y. XIONG
Keyword(s):  
Melting Temperature ◽  
Present Model ◽  
Dimensional System ◽  
Cross Sectional ◽  
Size Dependent ◽  
Dynamics Simulations ◽  
Low Dimensional ◽  
Sectional Shape ◽  
Temperature Depression ◽  
Melting Temperature Depression

A model is developed to account for the size-dependent melting temperature of pure metallic and bimetallic nanowires, where the effects of the contributions of all surface atoms to the surface area, lattice and surface packing factors and the cross-sectional shape of the nanowires are considered. As the size decreases, the melting temperature functions of pure metallic and bimetallic nanowires decrease almost with the same size-dependent trend. Due to the inclusion of the above effects, the present model can also be applied to investigate the melting temperature depression rate of different low-dimensional system, accurately. The validity of the model is verified by the data of experiments and molecular dynamics simulations.

Size-dependent melting temperature of nanoparticles based on cohesive energy

2014 ◽  
Vol 28 (19) ◽  
pp. 1450157 ◽  
Author(s):  
Kai-Tuo Huo ◽  
Xiao-Ming Chen
Keyword(s):  
Melting Temperature ◽  
Cohesive Energy ◽  
Metallic Nanoparticles ◽  
Present Model ◽  
Packing Fraction ◽  
Size Dependent ◽  
Crystal Cell ◽  
K Factor ◽  
The Relationship ◽  
Crystalline Plane

Size-dependent melting temperature of metallic nanoparticles is studied theoretically based on cohesive energy. Three factors are introduced in the present model. The k factor, i.e. efficiency of space filling of crystal lattice is defined as the ratio between the volume of the atoms in a crystal cell and that of the crystal cell. The β factor is defined as the ratio between the cohesive energy of surface atom and interior atom of a crystal. The qs factor represents the packing fraction on a surface crystalline plane. Considering the β, qs and k factors, the relationship between melting temperature and nanoparticle size is discussed. The obtained model is compared with the reported experimental data and the other models.

Nanoparticles of the Lead-free Solder Alloy Sn-3.0Ag-0.5Cu with Large Melting Temperature Depression

2008 ◽  
Vol 38 (2) ◽  
pp. 351-355 ◽  
Author(s):  
Chang Dong Zou ◽  
Yu Lai Gao ◽  
Bin Yang ◽  
Xin Zhi Xia ◽  
Qi Jie Zhai ◽  
...  
Keyword(s):  
Melting Temperature ◽  
Solder Alloy ◽  
Lead Free ◽  
Lead Free Solder ◽  
Lead Free Solder Alloy ◽  
Free Solder ◽  
Temperature Depression ◽  
Melting Temperature Depression

Size Effect on Thermal Properties in Low-Dimensional Materials

2010 ◽  
Vol 444 ◽  
pp. 189-218 ◽  
Author(s):  
Ming Zhao ◽  
Qing Jiang
Keyword(s):  
Phase Diagrams ◽  
Melting Temperature ◽  
Binary Solution ◽  
Size Dependent ◽  
Melting Temperatures ◽  
Transition Functions ◽  
Low Dimensional ◽  
Classical Thermodynamics ◽  
S Model ◽  
Melting Entropy

An extension of the classical thermodynamics to nanometer scale has been conducted to elucidate information regarding size dependence of phase transition functions and binary phase diagrams. The theoretical basis of the extension is Lindemanns criterion for solid melting, Motts expression for vibrational melting entropy, and Shis model for size dependent melting temperature. These models are combined into a unified one without adjustable parameters for melting temperatures of nanocrystals. It is shown that the melting temperature of nanocrystals may drop or rise depending on interface conditions and dimensions. The model has been extended and applied to size dependences of melting enthalpy, melting entropy, atomic cohesive energy. Moreover, the above modeling has been utilized to determine the size-dependent continuous binary solution phase diagrams. These thermodynamic approachs have extended the capability of the classical thermodynamics to the thermodynamic phenomena in the nanometer regime.

Size dependent thermal vibrations and melting in nanocrystals

1994 ◽  
Vol 9 (5) ◽  
pp. 1307-1314 ◽  
Author(s):  
Frank G. Shi
Keyword(s):  
Melting Point ◽  
Simple Model ◽  
Melting Temperature ◽  
Present Model ◽  
Semiconductor Nanocrystals ◽  
Quantitative Agreement ◽  
Bulk Crystal ◽  
Size Dependent ◽  
Measurable Parameter ◽  
Thermal Vibrations

A simple model for the size-dependent amplitude of the atomic thermal vibrations of a nanocrystal is presented which leads to the development of a model for the size dependent melting temperature in nanocrystals on the basis of Lindemann's criterion. The two models are in terms of a directly measurable parameter for the corresponding bulk crystal, i.e., the ratio between the amplitude of thermal vibrations for surface atoms and that for interior ones. It is shown that the present model for the melting temperature offers not only a qualitative but even an excellent quantitative agreement with the experimentally observed size-dependent superheating, as well as melting point suppression in both the supported and embedded metallic and semiconductor nanocrystals.

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