Thermodynamic and Elastic Properties of Interstitial Alloy FeC with BCC Structure at Zero Pressure

Abstract

e analytic expressions for the thermodynamic and elastic quantities such as the mean nearest neighbor distance, the free energy, the isothermal compressibility, the thermal expansion coefficient, the heat capacities at constant volume and at constant pressure, the Young modulus, the bulk modulus, the rigidity modulus, and the elastic constants of binary interstitial alloy with bodycentered cubic (BCC) structure, and the small concentration of interstitial atoms (below 5%) are derived by the statistical moment method. e theoretical results are applied to interstitial alloy FeC in the interval of temperature from 100 to 1000 K and in the interval of interstitial atom concentration from 0 to 5%. In special cases, we obtain the thermodynamic quantities of main metal Fe with BCC structure. Our calculated results for some thermodynamic and elastic quantities of main metal Fe and alloy FeC are compared with experiments.

Study of Nonlinear Deformation of FCC‐AuCuSi under Pressure by the Statistical Moment Method

“…In our model, for interstitial alloy AC with FCC structure and concentration condition c C << c A (c A � N A /N is the concentration of atoms A, N A is the number of atoms A, c C � N C /N is the concentration of atoms C, N C is the number of atoms C, and N � N A + N C is the total number of atoms of the alloy AC), the cohesive energy u 0 and the alloy parameters k, c 1 , c 2 , c (k is called the harmonic parameter and c 1 , c 2 , c are called anharmonic parameters) for the interstitial atom C in face centers of cubic unit cell in the approximation of two coordination spheres have the form [5][6][7][8][9][10]…”

“…2 Advances in Materials Science and Engineering e cohesive energy u 0 and the alloy parameters k, c 1 , c 2 , c for the main metal atom A 2 in corners of cubic unit cell in the approximation of three coordination spheres have the form [5][6][7][8][9][10]…”

“…e Helmholtz free energy of FCC interstitial alloy AC with the condition c C << c A is determined by [5][6][7][8][9][10]21]…”

“…e study of elastic and thermodynamic properties of perfect ternary and binary interstitial alloys has also been attractive such as the theory of interstitial alloy [1], calculations from first principles, many-body potentials and dynamical dynamics for defects in metals, alloys and solid solutions [2][3][4] and elastic and thermodynamic properties of perfect ternary and binary interstitial alloys. We have studied the elastic deformation for body-entered cubic (BCC) and face-centered cubic (FCC) ternary and binary interstitial alloys under pressure by the statistical moment method (SMM) in [5][6][7][8][9][10]. e dependence of elastic and nonlinear deformations of materials on temperature, pressure, and concentration of components has very important role in predicting and understanding their interatomic interactions, strength, mechanical stability, phase transition mechanisms, and dynamical response.…”

Study on the Melting Temperature, the Jumps of Volume, Enthalpy and Entropy at Melting Point, and the Debye Temperature for the BCC Defective and Perfect Interstitial Alloy WSi under Pressure

“…Metals and interstitial alloys [1][2][3][4][5] have been investigated by several research groups in the last decades due to their applications in various fields [6][7][8][9]. Many theoretical and experimental studies about the mechanical and thermodynamic properties of metals and interstitial alloys gained scientific and technological attention and represent an active area of research that requires integrating modern scientific insights [10][11][12][13][14] from multiple disciplines [15][16][17][18][19].…”