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In a narrow sense, the equation of state is described in a thermodynamic equilibrium state of the material system pressure, temperature, volume or density function relationship (PVT). Its study is a basic issue in the physics and important content. Solid materials have broad applicability in real life, production, which determines the equation of state of the solid materials not only in thermodynamics, statistical physics, condensed matter physics, atomic and molecular physics, geophysics, astrophysics, the basic disciplines of chemical physics is indispensable, and also has important applications in materials science, energy, engineering, explosion, weapons physics, aerospace technology and applied science. This paper describes the basic theory of the equation of state of the theoretical model, created by the equation of state of solids approximation based on semi-empirical and practical value, semi-theoretical phenomenological solid-state equation. On this basis, from the definition of short-range repulsive force constants A, and the atomic spacing r phenomenological function starting propose a relatively high pressure can be applied to new isothermal solid equation of state, and the validity and application study and discussion; This article is still the basis of the experimental data on the use of the Anderson-Gr pressure process (?) neisen (δ r ) the parameters relative size expansion phenomenological relationship can be applied to get a relatively high temperature and high pressure isobaric equation of state, and solid equation of state verification, analysis and discussion. The introduction, the main overview of the basic concepts of the equation of state, development history, typical application with significance, and the current study of the equation of state of several theories, experience, phenomenological methods and approaches. Since the focus of this thesis is the solid matter equation of state of the system, so the second chapter begins with the concept of solid - solid structure, stretching and compression, thermal expansion, heat capacity, and characterization of a large number of atoms composed of solid for non the nonlinearity parameter harmonic vibration-Anderson-the Gr (?) parameter δ neisen, Gr (?) neisen coefficient γ, the second Gr (?) neisen parameter q, and the universal connection were embracing narrative. Followed by the basic theory of the generalized equation of state of solids, a polynomial equation of state, with the static lattice compression linked to cold and cold, and the lattice thermal vibrations close contact with the heat and hot pressing, and the description of crystal Mie-Gr relationship between pressure, cold, heat three (?) neisen solid equation of state, Debye solid equation of state and other related content are introduced in detail and expositions. Chapter three existing practical solid equation of state in accordance with the theoretical basis for its proposed phenomenological potential model, experimental basis, and the scope of application or conditions classification, description, summary and discussion. From macroeconomic conditions applicable range up points, the equation of state of solids can be divided into three categories: the temperature and the equation of state, the pressure equation of state, high-temperature equation of state (relative to the Debye temperature). This article highlights some of the commonly used with a wide range of applications of the isothermal equation of state pressure equation of state, and made a succinct analysis and discussion of their effectiveness and adaptive. In order to verify the effectiveness of the proposed isothermal equation of state with adaptive classification NaCl face-centered cubic, cesium chloride type simple cubic ionic crystals, diatomic oxides, metal, and solid-state non-polar gas as an object of study, theoretical calculation of the pressure-volume compression the changes in the relationship between the (P-V / V 0 ), and bulk modulus with volume compression the (B r -V / V 0 ) changes between. Also the study and discussion of some other commonly used solid-state equation. The results show that the selected these types of substances, in the presence of pressure-induced changes within the new solid state equation is valid, can be suitable, relatively successful, the applicable range can be achieved * GPa, so * oxidation magnesium), the theoretical prediction and experimental values ??is very consistent. The last one in this paper, in order to verify the validity of phenomenological assumptions: tennis = long W Wu / the parametric solid isobaric process of Anderson-Grhneisen in tennis with the volume expansion, and the assumptions derived pressure equation of state versatility, this thesis for the sixteen kinds of alkali metal halide, the three kinds of basic oxides, the lines of the three kinds of silicate minerals expansion eight n volumetric thermal expansion V / VO (n, a thermal expansion coefficient A (n, made theoretically predict the temperature-dependent variation of the bulk modulus of elasticity elbow D, etc., appears in the size of the error and the cause of the error in the calculated value and the corresponding experimental data were compared with analysis Finally, a detailed analysis of , the following conclusion: When the temperature in the substance of the Debye temperature chaos to the melting range, the pressure does not exceed the pressure-induced changes in pressure, under our proposed relatively high temperature and other pressure state equation under relatively high pressure, and other temperature-state equations to study We selected substance compression, thermal expansion, thermal expansion coefficient, volumetric elastic modulus versus temperature or pressure change is appropriate, effective.
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