Role of the elastic constants in negative thermal expansion of axial solids

In cubic solids the elastic properties cannot affect the sign of the thermal expansion, but in axial solids negative thermal expansion can arise not only from anisotropy in the Gruneisen functions, but also from elastic anisotropy. The origin of negative thermal linear expansion is discussed for arsenic, graphite, selenium, tellurium and indium. A negative linear compressibility is neither necessary nor sufficient to ensure negative thermal expansion. The extension of the treatment to solids of lower symmetry is outlined.

[1]  R. Munn The Thermal Expansion of Axial Metals , 1969 .

[2]  T. Barron,et al.  Heat capacities of non-cubic solids , 1968 .

[3]  J. Mort Elastic Constants of Trigonal Selenium , 1967 .

[4]  J. G. Collins,et al.  Thermal expansion at low temperatures of anisotropic metals: Indium , 1967 .

[5]  W. Reynolds,et al.  Physical Properties of Graphite , 1970 .

[6]  G. Quentin,et al.  Constantes élastiques du tellure entre 100 °K et 300 °K , 1964, 1964.

[7]  T. Barron,et al.  Thermodynamics of internal strain in perfect crystals , 1971 .

[8]  T. Barron,et al.  Analysis of the thermal expansion of anisotropic solids: Application to zinc , 1967 .

[9]  J. Rayne,et al.  Elastic Constants of Indium from 1.4° to 300°K , 1961 .

[10]  A. Hippel Structure and Conductivity in the VIb Group of the Periodic System , 1948 .

[11]  D. Riley The thermal expansion of graphite: part II. Theoretical , 1945 .

[12]  B. Yates,et al.  Anisotropic Thermal Expansion of Pyrolytic Graphite at Low Temperatures , 1970 .

[13]  T. Barron Vibrational Effects in the Thermal Expansion of Noncubic Solids , 1970 .

[14]  W. Desorbo The Specific Heat of Crystalline Selenium at Low Temperatures , 1953 .

[15]  H. Ibach,et al.  Thermal Expansion of Tellurium , 1970 .

[16]  N. Pace,et al.  The elastic constants and interatomic binding forces in arsenic , 1970 .

[17]  W. Desorbo Concerning the Low Temperature Specific Heat of Tellurium , 1953 .

[18]  E. Grüneisen,et al.  Untersuchungen an Metallkristallen. III , 1924 .

[19]  J. G. Collins,et al.  Thermal expansion of solids , 1964 .

[20]  N. Pace,et al.  The Gruneisen tensor of arsenic , 1970 .