Link between depressions of melting temperature and Debye temperature in nanowires and its implication on Lindeman relation

2013 ◽  
Vol 114 (22) ◽  
pp. 224313 ◽  
Author(s):  
Sabyasachi Ghosh ◽  
A. K. Raychaudhuri
2021 ◽  
Vol 5 (6) ◽  
pp. 153
Author(s):  
Hoc Nguyen Quang ◽  
Hien Nguyen Duc ◽  
Dung Nguyen Trong ◽  
Van Cao Long ◽  
Ştefan Ţălu

The objective of this study is to determine the analytic expressions of the Helmholtz free energy, the equilibrium vacancy concentration, the melting temperature, the jumps of volume, enthalpy the mean nearest neighbor distance and entropy at melting point, the Debye temperature for the BCC defective, the limiting temperature of absolute stability for the crystalline state, and for the perfect binary interstitial alloy. The results obtained from the expressions are combined with the statistical moment method, the limiting condition of the absolute stability at the crystalline state, the Clausius–Clapeyron equation, the Debye model and the Gruneisen equation. Our numerical calculations of obtained theoretical results were carried out for alloy WSi under high temperature and pressure. Our calculated melting curve and relation between the melting temperature and the silicon concentration for WSi are in good agreement with other calculations. Our calculations for the jumps of volume, enthalpy and entropy, and the Debye temperature for WSi predict and orient experimental results in the future.


2021 ◽  
Vol 127 (5) ◽  
Author(s):  
Manauwar Ali Ansari

AbstractIn this paper, a new theoretical two-phase (solid–liquid) type model of melting temperature has developed based on the modified Gibbs–Thomson equation. Further, it is extended to derive other different size-dependent thermodynamic properties such as cohesive energy, Debye temperature, specific heat capacity, the thermal and electrical conductivity of metallic nanoparticles. Quantitative calculation of the effect of size on thermodynamic properties resulted in, varying linearly with the inverse of characteristic length of nanomaterials. The models are applied to Al, Pb, Ag, Sn, Mo, W, Co, Au and Cu nanoparticles of spherical shape. The melting temperature, Debye temperature, thermal and electrical conductivity are found to decrease with the decrease in particle size, whereas the cohesive energy and specific heat capacity are increased with the decrease in particle size. The present model is also compared with previous models and found consistent. The results obtained with this model validated with experimental and simulation results from several sources that show similar trends between the model and experimental results. Graphic abstract


2017 ◽  
Vol 5 (2) ◽  
pp. 79
Author(s):  
Salah Daoud

The object of this work is to study the correction between the optical, mechanical and thermal properties of boron arsenide (BAs) material and its experimental optical energy gap. The index of refraction, the high-frequency dielectric constant, the optical electronegativity, the bulk modulus, the micro-hardness, the plasmon energy, the Debye temperature, the melting temperature and the electronic polarizability of BAs were estimated from its energy gap. The results obtained are analyzed in comparison with available experimental and other theoretical data. My obtained results of the reflective index and the dielectric constant agree well with other theoretical data; whereas the bulk modulus, the microhardness, the Debye temperature, and the melting temperature are slightly lower than the experimental and other theoretical data. The electronic polarizability is slightly different than other theoretical ones from the literature.


Author(s):  
J. S. Lally ◽  
L. E. Thomas ◽  
R. M. Fisher

A variety of materials containing many different microstructures have been examined with the USS MVEM. Three topics have been selected to illustrate some of the more recent studies of diffraction phenomena and defect, grain and multi-phase structures of metals and minerals.(1) Critical Voltage Effects in Metals and Alloys - This many-beam dynamical diffraction phenomenon, in which some Bragg resonances vanish at certain accelerating voltages, Vc, depends sensitively on the spacing of diffracting planes, Debye temperature θD and structure factors. Vc values can be measured to ± 0.5% in the HVEM ana used to obtain improved extinction distances and θD values appropriate to electron diffraction, as well as to probe local bonding effects and composition variations in alloys.


2019 ◽  
Author(s):  
Samuele Giani ◽  
Naomi M. Towers

Laboratories measuring melting temperature according to USP<741> Melting Range or Temperature, must comply with the amended calibration and adjustment requirements described in this regulation. Compliance is ensured by adjusting the instrument with secondary reference standards, traceable to USP, followed by verification of accuracy using USP primary reference standards.


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