Investigation of thermodynamic properties of cerium dioxide by statistical moment method

2006 ◽  
Vol 67 (4) ◽  
pp. 682-689 ◽  
Author(s):  
Vu Van Hung ◽  
Jaichan Lee ◽  
K. Masuda-Jindo
2008 ◽  
Vol 138 ◽  
pp. 209-240 ◽  
Author(s):  
K. Masuda-Jindo ◽  
Vu Van Hung ◽  
P.E.A. Turchi

The thermodynamic properties and phase transformations of metals and alloys are studied using the statistical moment method, going beyond the quasi-harmonic approximations. Including the power moments of the atomic displacements up to the fourth order, the Helmholtz free energies and the related thermodynamic quantities are derived explicitly in closed analytic forms. The thermodynamic quantities, like thermal lattice expansion coefficients, specific heats, Grüneisen constants, elastic constants calculated by using the SMM are compared with those of other theoretical schemes and the experimental results. The hcp-bcc structural phase transformations observed for IVB elements, Ti, Zr and Hf, are discussed in terms of the anharmonicity of thermal lattice vibrations. The equilibrium phase diagrams are calculated for the refractory Ta-W and Mo-Ta bcc alloys. In addition, the temperature dependence of the elastic moduli C11, C12 and C14 and those of the ideal tensile and shear strengths of the bcc elements Mo, Ta and W are studied: We also discuss the melting transitions of metals and alloys within the framework of the SMM and estimate the melting temperatures through the limiting temperature of the crystalline stability.


2021 ◽  
Vol 66 (3) ◽  
pp. 69-80
Author(s):  
Hoc Nguyen Quang ◽  
Hien Nguyen Duc

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.


2013 ◽  
Vol 23 (4) ◽  
pp. 301
Author(s):  
Vu Van Hung ◽  
Duong Dai Phuong ◽  
Nguyen Thi Hoa

The thermodynamic properties of the metal thin film with face-centered cubic structure at zero pressure are investigated using the statistical moment method \((SMM)\), including the anharmonicity effects of thermal lattice vibrations. The Helmholtz free energy, linear thermal expansion coefficients, specific heats at the constant volume and those at the constant pressure, \(C_V\) and \(C_p\) are derived in closed analytic forms in terms of the power moments of the atomic displacements. Numerical calculations for thermodynamic quantities of Al, Au and Ag thin films are found to be in good agreement with those of the other theoretical results and experimental data.


2020 ◽  
Vol 65 (10) ◽  
pp. 18-23
Author(s):  
Hoc Nguyen Quang ◽  
Loan Pham Thi Thanh ◽  
Viet Nguyen Tuan ◽  
Le Nguyen Ngoc

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.


2018 ◽  
Vol 2018 ◽  
pp. 1-4
Author(s):  
Pham Dinh Tam ◽  
Bui Duc Tinh ◽  
Nguyen Quang Hoc ◽  
Pham Duy Tan

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.


Sign in / Sign up

Export Citation Format

Share Document