Universal features of the equation of state of solids

A study of the energetics of solids leads to the conclusion that the equation of state for all classes of solids in compression can be expressed in terms of a universal function. The form of this universal function is determined by sealing experimental compression data for measured isotherms of a wide variety of solids. The equation of state is thus known (in the absence of phase transitions), if zero-pressure volume and isothermal compression and its pressure derivative are known. The discovery described by the authors has two immediate consequences: first, despite the well known differences in the microscopic energetics of the various classes of solids, there is a single equation of state for all classes in compression; and second, a new method is provided for analysing measured isotherms and extrapolating high-pressure data from low-pressure (e.g. acoustic) data.

[1]  J. H. Rose,et al.  Compressibility of solids , 1987 .

[2]  Dodson Universal scaling relations in compressibility of solids. , 1987, Physical review. B, Condensed matter.

[3]  Joshua R. Smith,et al.  Temperature effects on the universal equation of state of solids. , 1987, Physical review. B, Condensed matter.

[4]  B. Jacobson,et al.  A Model for the Influence of Pressure on the Bulk Modulus and the Influence of Temperature on the Solidification Pressure for Liquid Lubricants , 1987 .

[5]  Joshua R. Smith,et al.  A universal equation of state for solids , 1986 .

[6]  Smith,et al.  Theory of the bimetallic interface. , 1985, Physical review. B, Condensed matter.

[7]  V. Anderson,et al.  Experimental equations of state for cesium and lithium metals to 20 kbar and the high-pressure behavior of the alkali metals. , 1985, Physical review. B, Condensed matter.

[8]  John R. Smith,et al.  Metals in Intimate Contact , 1985 .

[9]  N. Dass,et al.  Derivation of Some Equations of State for Solids. A New Approach , 1985 .

[10]  K. Asaumi High-pressure x-ray diffraction study of solid xenon and its equation of state in relation to metallization transition , 1984 .

[11]  Joshua R. Smith,et al.  Universal features of the equation of state of metals , 1984 .

[12]  Joshua R. Smith,et al.  Scaling relations in the equation of state, thermal expansion, and melting of metals , 1984 .

[13]  S. Sikka,et al.  Equation of state theories of condensed matter up to about 10 TPa , 1983 .

[14]  C. Swenson,et al.  Experimental compressions for sodium, potassium, and rubidium metals to 20 kbar from 4.2 to 300 K , 1983 .

[15]  P. J. Restle,et al.  Hall effect, anisotropy, and temperature-dependence measurements of1fnoise in silicon on sapphire , 1983 .

[16]  Joshua R. Smith,et al.  Diatomic molecules and metallic adhesion, cohesion, and chemisorption - A single binding-energy relation , 1983 .

[17]  Joshua R. Smith,et al.  Universal binding-energy relation in chemisorption , 1982 .

[18]  R. J. Wijngaarden,et al.  Low-Temperature Equation of State of Molecular Hydrogen and Deuterium to 0.37 Mbar: Implications for Metallic Hydrogen , 1982 .

[19]  Joshua R. Smith,et al.  Universal binding energy curves for metals and bimetallic interfaces , 1981 .

[20]  K. Timmerhaus,et al.  High-pressure science and technology ; Sixth AIRAPT Conference , 1979 .

[21]  Roy G. Gordon,et al.  Modified electron-gas study of the stability, elastic properties, and high-pressure behavior of MgO and CaO crystals , 1976 .

[22]  C. Swenson,et al.  Experimental equations of state for the rare gas solids , 1975 .

[23]  C. Swenson,et al.  Experimental compressions for normal hydrogen and normal deuterium to 25 kbar at 4.2 K , 1974 .

[24]  R. Fugate,et al.  Equation of state for solid neon to 20 kbar , 1973 .

[25]  G. Kennedy,et al.  Simple Compressibility Relation for Solids , 1973 .

[26]  秋本 俊一 V. N. Zharkov and V. A. Kalinin: Equations of State for Solids at High Pressures and Temperatures, Consultants Bureau, New York and London, 1971, 257ページ, 27×21cm, 13,000円. , 1972 .

[27]  Daniel L. Decker,et al.  High‐Pressure Equation of State for NaCl, KCl, and CsCl , 1971 .

[28]  G. Kennedy,et al.  Compressibility of 27 halides to 45 kbar , 1971 .

[29]  E. Lloyd Accurate Characterization of the High-Pressure Environment , 1971 .

[30]  Leon Thomsen,et al.  On the fourth-order anharmonic equation of state of solids , 1970 .

[31]  A. J. Cable,et al.  High-velocity impact phenomena , 1970 .

[32]  J. Ross Macdonald,et al.  Review of Some Experimental and Analytical Equations of State , 1969 .

[33]  C. Swenson,et al.  Equation of state of cubic solids; some generalizations☆ , 1968 .

[34]  J. F. Barnes Statistical Atom Theory and the Equation of State of Solids , 1967 .

[35]  Harry G. Drickamer,et al.  Effect of High Pressures on the Compressibilities of Seven Crystals Having the NaCl or CsCl Structure , 1965 .

[36]  C. Swenson,et al.  An experimental equation of state for solid xenon , 1963 .

[37]  F. Birch Elasticity and Constitution of the Earth's Interior , 1952 .

[38]  P. W. Bridgman The Compression of Twenty-One Halogen Compounds and Eleven Other Simple Substances to 100,000 kg/cm , 1945 .