Statistical moment method

In present paper "Equation of state and thermal expansion of metals with FCC structure: Application to Cu, Al and Ni", by the statistical moment method (SMM) we obtain the equation of state for metals with cubic structure at temperature 0 K and pressure P and from that obtain the expressions of lattice parameter and thermal expansion coefficient for these metals at temperature T and pressure P.

6p runordie3 27-06-2022 13 2   Download

The analytic expressions of the free energy, the mean nearest neighbor distance between two atoms, the elastic moduli such as the Young modulus E, the bulk modulus K, the rigidity modulus G and the elastic constants C11, C12, C44 for substitution alloy AB with interstitial atom C and BCC structure under pressure are derived from the statistical moment method.

12p vijichoo2711 04-06-2021 16 1   Download

From the study of the SU(2) gauge field coupled with two massless scalar fields, we have found solutions to the corresponding YangMills equations. These classical solutions exhibited a form of confinement to an SU(2) gauge charge. Energy expressions of the corresponding gauge and scalar field configurations are obtained.

6p larachdumlanat127 20-12-2020 13 2   Download

Temperature and pressure dependence of elastic moduli for interstitial alloys like Fe-C alloys with bcc structure has been investigated by using statistical moment method (SMM). The Young moduli of Fe-C alloys is calculated as a function of the temperature and pressure.

8p larachdumlanat127 20-12-2020 11 1   Download

Thermodynamic quantities such as mean nearest neighbor distance, free energy, isothermal and adiabatic compressibilities, isothermal and adiabatic elastic modulus, thermal expansion coefficient, heat capacities at constant volume and constant pressure, and entropy of binary interstitial alloys with a body-centered cubic (BCC) structure with a very small concentration of interstitial atoms are derived using the statistical moment method.

10p tamynhan5 10-12-2020 17 3   Download

The analytic expressions of thermodynamic quantities such as the Helmholtz free energy, the internal energy, the entropy, the molar heat capacity at constant volume for molecular cryocrystals of N2 type with face-centered cubic (FCC) and hexagonal close-packed (HCP) structures in harmonic, classical and anharmonic approximations are obtained by combining the statistical moment method (SMM) and the self-consistent field method (SCFM).

10p tamynhan5 10-12-2020 12 1   Download

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.

6p tamynhan5 10-12-2020 6 1   Download

Numerical calculations of the quantities were performed for Fe and W thin films and found to be in good and reasonable agreement with other theoretical results and experimental data. This research proves that thermal expansion coefficients of thin films approach the values of bulk when thin film is about 70 nm thick.

10p tamynhan9 02-12-2020 18 1   Download

Some thermodynamic quantities of ZrxCe1-xO2/CeO2 systems are investigated by using the moment method in statistical dynamics taking into account the anharmonicity effects of lattice vibrations. The analytic expression of the Gibbs free energy, Helmholtz free energy, and specific heats at the constant volume of ZrxCe1-xO2/CeO2 systems are obtained.

11p tamynhan9 02-12-2020 12 1   Download

The high-pressure melting curve of silicon crystal with defects has been studied using statistical moment method (SMM). In agreement with experiments and with DFT calculations we obtain a negative slope for the high-pressure melting curve of silicon crystal. SMM calculated melting temperatures of Si crystal with defects being in good agreement with previous experiments.

7p tamynhan8 04-11-2020 8 2   Download

In the present study, the influence of temperature and the size of the lattice constant of CeO2 thin film have been studied using three different interatomic potentials. We discuss temperature and thickness dependence of the lattice constant of CeO2 thin films and we compare our calculated results with those of the experimental results.

9p tamynhan8 04-11-2020 16 2   Download

The effects of strain on the diffusion of impurities in silicon crystal are investigated using the statistical moment method (SMM). The influence of tensile strain on diffusion coefficient D is characterized by relaxation volume V r and migration volume V m. The numerical results for B and P diffusion in silicon that are performed and compared to experimental data show good agreement.

8p tamynhan8 04-11-2020 10 0   Download

The coefficients of thermal expansion of thin metal film with face-centered cubic structure at zero pressure are investigated using the statistical moment method (SMM), including the anharmonic effects of thermal lattice vibration. The Helmholtz free energy, mean-square atomic displacement and linear thermal expansion coefficients are derived in closed analytic forms in terms of the power moments of the atomic displacement.

8p tamynhan8 04-11-2020 14 1   Download

The equation of state, the absolute stability temperature of crystalline state and the melting temperature for N2, CO, CO2 and N2O molecular cryocrystals under pressure are determined using the statistical moment method and are compared with the experimental data and other calculations.

9p tamynhan8 04-11-2020 10 1   Download

Molecular crystals are characterized by strong intramolecular forces and much weaker intermolecular forces. High-pressure spectroscopic studies provide useful data for refining the various model potentials which are used to predict of the physical properties of such systems as well as for the formation of various crystalline phases.

7p tamynhan8 04-11-2020 16 2   Download

The α - β (fcc-hcp) phase transition temperature under pressure can be investigated theoretically by combining the self-consistent field method and the statistical moment method and only the statistical moment method which was developed by the authors. Theoretical results are applied to N2 and CO molecular cryocrystals and our calculated results are compared with the experimental data and other calculations.

8p tamynhan8 04-11-2020 13 1   Download

In present paper, we will present the theory of elastic deformation for binary interstitial alloys with FCC structure at zero pressure and under pressure builded by the SMM. Then, we apply this theory to study the elastic deformation of interstitial alloy AgC by combining the Mie-Lennard-Jones pair potential [14] and the Morse pair potential.

14p koxih_kothogmih5 04-09-2020 9 1   Download

We have investigated the thermodynamic properties of the cubic zirconia ZrO2 using the statistical moment method in the statistical physics. The free energy, thermal lattice expansion coefficient, specific heats at the constant volume and those at the constant pressure, CV and CP , are derived in closed analytic forms in terms of the power moments of the atomic displacements.

16p 12120609 01-06-2020 10 1   Download

Purpose, object and scope of studying: Apply of q-deformed Fermi-Dirac statistics to research heat capacity and paramagnetic susceptibility of free electron gas in metals at low temperatures, formula of heat capacity and magnetic susceptibility from the free electron gas in a metal depends on q deformation

26p change00 04-05-2016 44 2   Download