Some remarks on the redundancy checks for cubic crystals

Mao, Nai-Hsien

doi:10.1029/jb079i008p01156

Cited by 46 publications

(1 citation statement)

References 9 publications

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“…For TiO,, recent measurements have been made to 20 Kb . Further, it is clear from discordant measurements of the same material that at least some ultrasonic techniques involve unrecognized systematic errors (Spetzler & Anderson 1971;Mao 1974a), of the order of 10 per cent or more for pressure derivatives. Finally, note that K' may be more susceptible to experimental errors than p' since it is determined less directly.…”

Section: Pressure Derivativesmentioning

confidence: 99%

The Estimation of Elastic Properties from Analogue Compounds

Davies

1976

Geophys J Int

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The concept of isostructural compounds as elastic analogues is extended to include some new correlations involving the bulk modulus, K, the shear modulus, p, and their pressure derivatives, K and p', and these are combined here with some previously demonstrated correlations. For many simple compounds, K correlates with the mole atomic volume, V, according to the well-known relation KV" = C , , where C1 is a constant characteristic of crystal structure, and n is usually about 1. An analogous relation, pV" = Cz, is shown here to be an equally accurate approximation. C2 is again characteristic of crystal structure and m is usually about $. Some exceptions are related to the presence of transition metal ions, and possibly to magneto-elastic coupling and non-stoichiometry. These relations are poorer approximations for more complex compounds. Much of the irregularity can be attributed either to the presence of more than one dominant bond type or to the presence of transition metal ions and associated effects. For complex compounds, an alternative correlation, previously demonstrated, is updated and refined using the above insights into simple compound properties: the ratios of elastic velocities and density of a compound to those of its isochemical mixture of simple compounds are characteristic of the crystal structure of the compound.

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Section: Pressure Derivativesmentioning

confidence: 99%

The Estimation of Elastic Properties from Analogue Compounds

Davies

1976

Geophys J Int

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Comparison of some equation-of-state theories by using experimental high-compression data

Walzer¹,

Ullmann²,

Pankov³

1979

Physics of the Earth and Planetary Interiors

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Equations of state of the Earth

Ahrens¹

1975

Reviews of Geophysics

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INTRODUCTIONThe major results of research in the United States for 1971-1974 in the areas of static, high-pressure X ray, ultrasonic and shock wave measurements, and progress in theoretical equations of state are summarized. This 4-year period has seen the massive accumulation of new data pertinent to describing the properties, and to some extent geodynamic processes, of the upper mantle as well as exposing the gauntlet of scientific challenge with regard to our lack of detailed understanding of the major changes in crustal seismic velocities, which seem to offer so much promise for earthquake prediction. In the area of very high pressure geophysics, another challenging problem uncovered is the question of explaining the low adiabatic gradient in the outer core, which seems to be required to retain liquid iron alloy material at the melting point. Important advances in what until recently has been quite empirical elastic moduli 'systematics' have demonstrated how ionic radii and ionic packing densities may be quantitatively employed to predict unmeasured equations of state as well as tie together an ever increasing body of data for the elasticity of compounds which are crystal-chemical analogs of mantle minerals. The lack of suitable pure and mechanically homogeneous samples has continued to offer a serious obstacle to the study of candidate materials of the earth's interior. When samples of critically important minerals have been synthesized in such laboratories as those of A. E. Ringwood and R. Liebermann (Canberra) and S. Akimoto (Tokyo), significant new experiments and, shortly thereafter, theoretical results have been forthcoming. Several scientific meetings and meeting proceedings published in the years 1971-1974 have included contributions from the United States and have focused on the presentation of new data and theoretical interpretations. Two symposia of the International Association of Seismologists and Physics of the Earth's Interior (IASPEI) were organized at the fifteenth meeting of the IUGG: The State of Substance in the Earth's Interior (V. A. Magnitsky, Convener) and the Final Report, Upper Mantle Project (V. V. Beloussov, Chairman). Most of the papers presented at these two symposia are published in special issues of Physics of the Earth and Planetary Interiors (volume 5, pp. 267-343) and Tectonophysics (volume 13, pp.

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Some remarks on the redundancy checks for cubic crystals

Cited by 46 publications

References 9 publications

The Estimation of Elastic Properties from Analogue Compounds

The Estimation of Elastic Properties from Analogue Compounds

Comparison of some equation-of-state theories by using experimental high-compression data

Equations of state of the Earth

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