The α–β Inversion in quartz: A coherent phase transition under nonhydrostatic stress

Experiments on oriented cores from a single crystal of quartz show that the temperature of the α-β transition is raised 10.6±0.4°C/kb and 5.0±0.4°C/kb by uniaxial compression perpendicular and parallel, respectively, to the optic axis at a confining pressure of 3 kb. Approximately the same results are indicated for confining pressures ranging from 1 to 5 kb. There is no detectable curvature of the phase boundary for uniaxial stresses σ between 0 and 10 kb: |(d2Tα-β/dσ2)| < 0.05°C/kb2. The increase of transition temperature with hydrostatic pressure of 25.8±0.3°C/kb between 1 and 5 kb also determined in these experiments is consistent with previous determinations. These results and others for quartz are analyzed assuming the α-β inversion is either a λ transition or a first-order transition characterized by a small reversible transformation strain. Although both hypotheses are roughly consistent with most of the results, the hysteresis in the transition suggests that the second may be preferable, and a theory is developed that describes the effect of general nonhydrostatic stress on such transitions.

[1]  Y. Ida.  Thermodynamic theory of nonhydrostatically stressed solid involving finite strain , 1969 .

[2]  H. Cummins,et al.  Critical Opalescence in Quartz , 1968 .

[3]  A. G. McLellan.  The chemical potential in thermodynamic systems under non-hydrostatic stresses , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[4]  L. H. Cohen,et al.  High‐low quartz inversion: Thermodynamics of the lambda transition , 1968 .

[5]  H. Green.  Quartz: Extreme Preferred Orientation Produced by Annealing , 1967, Science.

[6]  L. H. Cohen,et al.  High-low quartz inversion: Determination to 35 kilobars , 1967 .

[7]  A. G. McLellan.  A thermodynamical theory of systems under nonhydrostatic stresses , 1966 .

[8]  M. Paterson,et al.  Experimental deformation of serpentinite and its tectonic implications , 1965 .

[9]  R. Roy,et al.  Thermodynamic parameters for the α-β quartz and α-β cristobalite transitions , 1964 .

[10]  D. Griggs,et al.  Experimental Deformation and Recrystallization of Quartz , 1964, The Journal of Geology.

[11]  C. Garland.  Generalized Pippard Equations , 1964 .

[12]  M. Kumazawa.  A fundamental thermodynamic theory on nonhydrostatic field and on the stability of mineral orientation and phase equilibrium , 1963 .

[13]  伊東 敬祐.  Thermodynamics of nonhydrostatically stressed solids with geologic applications , 1963 .

[14]  A. J. Hughes,et al.  Cylindrical Approximation and the α—β Quartz Transition , 1962 .

[15]  W. B. Kamb.  Author's reply to discussions of the paper “The thermodynamic theory of nonhydrostatically stressed solids” , 1961 .

[16]  M. Kumazawa.  A note on the thermodynamic theory of nonhydrostatically stressed solids , 1961 .

[17]  A. Hoffer.  Discussion of paper by W. Barclay Kamb, “The thermodynamic theory of nonhydrostatically stressed solids” , 1961 .

[18]  G. MacDonald.  Discussion of paper by W. Barclay Kamb, “The thermodynamic theory of nonhydrostatically stressed solids” , 1961 .

[19]  W. B. Kamb.  The thermodynamic theory of nonhydrostatically stressed solids , 1961 .

[20]  M. Buckingham,et al.  Chapter III The Nature of the λ-Transition in Liquid Helium , 1961 .

[21]  G. MacDonald.  Chapter 1: Orientation of Anisotropic Minerals in a Stress Field , 1960 .

[22]  W. B. Kamb.  Theory of Preferred Crystal Orientation Developed by Crystallization under Stress , 1959, The Journal of Geology.

[23]  G. MacDonald.  Thermodynamics of solids under non-hydrostatic stress with geologic applications , 1957 .

[24]  Paul J. Flory,et al.  Theory of Elastic Mechanisms in Fibrous Proteins , 1956 .

[25]  A. Pippard.  XLVIII. Thermodynamic relations applicable near a lambda-transition , 1956 .

[26]  P. W. Forsbergh.  Piezoelectricity, Electrostriction and Ferroelectricity , 1956 .

[27]  L. A. Thomas,et al.  Piezoerescence—the growth of Dauphiné twinning in quartz under stress , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[28]  J. Verhoogen.  The chemical potential of a stressed solid , 1951 .

[29]  H. S. Yoder,et al.  High‐low quartz inversion up to 10,000 bars , 1950 .

[30]  R. W. Goranson.  “Flow” in stressed solids: an interpretation , 1940 .

[31]  R. W. Goranson.  Physics of Stressed Solids , 1940 .

[32]  A. Jay,et al.  The Thermal Expansion of Quartz by X-Ray Measurements , 1933 .

[33]  R. E. Gibson.  The Influence of Pressure on the High-Low Inversion of Quartz , 1927 .

[34]  P. W. Bridgman.  On The Effect of General Mechanical Stress on the Temperature of Transition of Two Phases, with a Discussion of Plasticity , 1916 .