scholarly journals Study of Melting Temperature of Metals: Pressure Dependence

2011 ◽  
Vol 21 (1) ◽  
pp. 77 ◽  
Author(s):  
Vu Van Hung ◽  
Hoang Van Tich ◽  
Dang Thanh Hai
Keyword(s):  
Melting Temperature ◽  
Pressure Dependence ◽  
Moment Method ◽  
Statistical Moment ◽  
Experimental Results ◽  
Melting Temperatures ◽  
Statistical Moment Method

The melting temperature of metals are studied using the statistical moment method, going the quasi-harmonic appromations. The melting temperature of metals are calculated as a function of the pressure. We discuss the pressure dependence of melting temperatures of Ce, Fe metals and compare the present results with those of the experimental results.

scholarly journals Studying the Effects of Vacancies on the Melting Temperature of \(\text{AgCe}\) Alloy

2018 ◽  
Vol 28 (2) ◽  
pp. 155
Author(s):  
Dang Thanh Hai ◽  
Vu Van Hung ◽  
Giang Thi Hong
Keyword(s):  
High Pressure ◽  
Free Energy ◽  
Melting Temperature ◽  
Moment Method ◽  
Statistical Moment ◽  
Melting Temperatures ◽  
Substitution Alloy ◽  
Numerical Calculation Method ◽  
Analytical Expressions ◽  
Statistical Moment Method

In order to evaluate the effects of vacancies on the melting temperature of AgCe alloy, the statistical moment method was used to find out the analytical expressions to determine the Gibbs free energy in the AB substitution alloy and the expression to calculate the melting temperature of perfect and imperfect AB substitution Alloys. The melting temperature was calculated by the numerical calculation method on the perfect and imperfect AgCe alloy. The calculating results shown that the melting temperature of alloys increase with a increase in pressure. The melting temperatures of imperfect alloy of AgCe, Ag2Ce and Ag3Ce are always slightly lower than that of perfect alloys. Especially, the melting temperatures value of perfect and imperfect alloy were almost the same at high pressure. The melting temperature of alloys increase with an increase in amount of Ag containing in the alloys. The calculated results agreed well with the experimental results at P = 0.

scholarly journals Investigation of the EXAFS Cumulants of Silicon and Germanium Semiconductors by Statistical Moment Method: Pressure Dependence

2011 ◽  
Vol 21 (3) ◽  
pp. 245
Author(s):  
Ho Khac Hieu ◽  
Vu Van Hung ◽  
Nguyen Van Hung
Keyword(s):  
Pressure Dependence ◽  
Moment Method ◽  
Reasonable Agreement ◽  
Statistical Moment ◽  
X Ray ◽  
Lattice Constants ◽  
Silicon And Germanium ◽  
X Ray Absorption ◽  
Analytical Expressions ◽  
Statistical Moment Method

Pressure dependence of Extended X-ray Absorption Fine Structure (EXAFS) cumulants of silicon and germanium have been investigated using the statistical moment method (SMM). Analytical expressions of the first and second cumulants of silicon and germanium have been derived. The equations of states for silicon and germanium semiconductors have been also obtained using which the pressure dependence of lattice constants and volume of these semiconductors have been estimated. Numerical results using the developed theories for these semiconductors are found to be in good and reasonable agreement with those of the other theories and with experiment.

scholarly journals Melting temperature of iron at high pressure: statistical moment method approach

2017 ◽  
Vol 33 (3) ◽  
Author(s):  
Tran Thi Hai
Keyword(s):  
High Pressure ◽  
Melting Temperature ◽  
Moment Method ◽  
Quantum Statistical Mechanics ◽  
Statistical Moment ◽  
Pressure Effects ◽  
Simple Method ◽  
Pressure Melting ◽  
Lindemann Criterion ◽  
Statistical Moment Method

The pressure effects on melting temperatures of iron have been studied based on the combination of the modified Lindemann criterion with statistical moment method in quantum statistical mechanics. Numerical calculations have been performed up to pressure 150 GPa. Our results are in good and reasonable agreements with available experimental data. This approach gives us a relatively simple method for qualitatively calculating high-pressure melting temperature. Moreover, it can be used to verify future experimental and theoretical works. This research proposes the potential of the combination of statistical moment method and the modified Lindemann criterion on predicting high-pressure melting of materials.

THERMODYNAMIC PROPERTY OF ALLOY FCC-AuCuLi AT ZERO PRESSURE

2021 ◽  
Vol 66 (3) ◽  
pp. 69-80
Author(s):  
Hoc Nguyen Quang ◽  
Hien Nguyen Duc
Keyword(s):  
Thermodynamic Properties ◽  
Thermodynamic Property ◽  
Moment Method ◽  
Thermodynamic Theory ◽  
Statistical Moment ◽  
Experimental Results ◽  
Thermodynamic Quantities ◽  
The Future ◽  
Statistical Moment Method

We briefly present the thermodynamic theory of FCC ternary substitutional and interstitial alloy at zero pressure derived by the statistical moment method and apply this theory to alloy AuCuLi. The thermodynamic properties of Au, AuCu and AuLi are specific cases for that of AuCuLi. We compare the thermodynamic properties of alloys AuCuSi and AuCuLi. Our calculated results of thermodynamic quantities for AuCuLi predict and orient experimental results in the future.

Melting curve of metals Cu, Ag and Au under pressure

2016 ◽  
Vol 30 (02) ◽  
pp. 1550273 ◽  
Author(s):  
Pham Dinh Tam ◽  
Nguyen Quang Hoc ◽  
Bui Duc Tinh ◽  
Pham Duy Tan
Keyword(s):  
Experimental Data ◽  
Melting Temperature ◽  
Moment Method ◽  
Melting Curve ◽  
Statistical Moment ◽  
Good Agreement ◽  
Statistical Moment Method

In this paper, the dependence of the melting temperature of metals Cu, Ag and Au under pressure in the interval from 0 kbar to 40 kbar is studied by the statistical moment method (SMM). This dependence has the form of near linearity and the calculated slopes of melting curve are 3.9 for Cu, 5.7 for Ag and 6 for Au. These results are in good agreement with the experimental data.

THE DIFFUSION IN FCC BINARY INTERSTITIAL ALLOY

2020 ◽  
Vol 65 (10) ◽  
pp. 18-23
Author(s):  
Hoc Nguyen Quang ◽  
Loan Pham Thi Thanh ◽  
Viet Nguyen Tuan ◽  
Le Nguyen Ngoc
Keyword(s):  
Diffusion Coefficient ◽  
Moment Method ◽  
Interstitial Atom ◽  
Diffusion Theory ◽  
Correlation Factor ◽  
Statistical Moment ◽  
Analytic Expressions ◽  
Fcc Metal ◽  
Statistical Moment Method

We build the theory of diffusion for FCC binary interstitial alloy under pressure based on the statistical moment method, where there are the analytic expressions of the jumping frequency of interstitial atom, the effective jumping length, the correlation factor, the diffusion coefficient, and the activated energy. In limit cases, we can obtain the diffusion theory for FCC metal A under pressure.

scholarly journals Critical Temperature for Ordered-Disordered Phase Transformation in Cu3Au under Pressure

2018 ◽  
Vol 2018 ◽  
pp. 1-4
Author(s):  
Pham Dinh Tam ◽  
Bui Duc Tinh ◽  
Nguyen Quang Hoc ◽  
Pham Duy Tan
Keyword(s):  
Experimental Data ◽  
Phase Transformation ◽  
Critical Temperature ◽  
Moment Method ◽  
Statistical Moment ◽  
Disordered Phase ◽  
Good Agreement ◽  
Statistical Moment Method

We use the statistical moment method to study the dependence of the critical temperature Tc for Cu3Au on pressure in the interval from 0 to 30 kbar. The calculated mean speed of changing critical temperature to pressure is 1.8 K/kbar. This result is in a good agreement with the experimental data.

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