The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals

Cain, L. S.

doi:10.1016/0022-3697(77)90149-4

Cited by 105 publications

(25 citation statements)

References 11 publications

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“…30 The lattice constant and thermal expansion values needed to correct for the temperature dependence of the density and the path length of the crystals were taken from the work of Fouchaux and Simmons. 12 Ultrasonic waves were produced by 10 MHz X-and Y -cut quartz transducers.…”

Section: Methodsmentioning

confidence: 99%

Second-order elastic constants of AgCl from 20 to 430°C

Hughes

Cain

1996

Phys. Rev. B

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The three independent adiabatic second-order elastic constants of AgCl have been measured from 20 to 430°C using the McSkimin pulse-superposition technique. Two single crystals with ͑110͒ and ͑001͒ axes were used in the measurements. Measurements on the ͑110͒ crystal gave the complete set of constants and showed that the longitudinal elastic constant C 11 Ј ϭ(C 11 ϩC 12 ϩ2C 44 )/2 decreased by 37%, the shear constant C 44 decreased by 15%, and the shear constant CЈϭ(C 11 ϪC 12 )/2 decreased by 65% over this temperature range. The longitudinal elastic constant C 11 decreased by 45%, the elastic constant C 12 decreased by 31% and the bulk modulus B s ϭ(C 11 ϩ2C 12 )/3 decreased by 37%. The ͑001͒ crystal was used as a check on the consistency of the measurements. The decreases in the elastic constants are linear, as expected, until approximately 320°C, whereupon C 11 Ј , C 44 , C 11 , C 12 , and B s begin to decrease more rapidly than linearly and are 6.8, 0.8, 6.0, 9.2, and 8.0 %, respectively, below the expected linearity at 430°C. By contrast, the shear constant CЈ decreases linearly over the entire temperature range. The elastic constant behavior thus becomes anomalous near the melting point, just like many of the other physical properties of the silver halides. This anomalous behavior may be attributed to the unusually high defect concentration near the melting point. Similar changes in elastic constants are seen in superionic conductors near the transition into the superionic state: a large decrease in C 11 , but only small changes in C 44 . This may indicate that the silver halides are just starting the transition to the superionic state when the halide sublattice melts and the transition is frustrated.

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Section: Methodsmentioning

confidence: 99%

Second-order elastic constants of AgCl from 20 to 430°C

Hughes

Cain

1996

Phys. Rev. B

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“…[2, 31 and observed experimentally by Cain [25] in AgC1-AgBr mixed crystals. Finally, it may be concluded that the long-range three-body interactions and the short-range van der Waals attraction and second-neighbour overlap repulsion play an important role in the prediction of lattice static (or cohesive) and harmonic and anharmonic elastic properties of host and mixed (CaF,-SrF,) fluorite crystals.…”

Section: Discussionmentioning

confidence: 86%

“…1, is a feature identical to that exhibited by other mixed crystais (AgC1-AgBr, KICI-KBr) [25]. The values of model parameters ( b and f(r)), listed in Table 2, have been obtained from these values of input data for the host and mixed crystals.…”

Section: Computations and Resultsmentioning

confidence: 99%

Study of Cohesion, Harmonic and Anharmonic Elastic Properties of CaF₂—SrF₂ Mixed Crystals

Singh

Agnihotri

Suryanarayana

et al. 1984

Physica Status Solidi (b)

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Cohesive and harmonic and anharmonic elastic properties are investigated of CaF,-SrF, mixed crystals using a three-body interaction potential which consists of the long-range Coulomb and three-body interactions and short-range van der Waals attraction and overlap repulsion, effective upto the second neighbour ions. This two parameter model potential successfully predicts the cohesive energy, the higher order elastic constants, and the pressure derivatives of the second order elastic constants of CaF,-SrF, mixed crystals.Mit einem Dreikorperwechselwirkungspotential, das aus der weitreichenden Coulomb-und Dreikorperwechselwirkung und der kurzreichweitigen van der Waals-Anziehung und Uberlappungsabstohng bis zu den zweiten Nachbarionen besteht, werden die KohLsions-sowie die harmonischen und anharmonischen Elastizitatseigenschaften von CaF,-SrF,-Mischkristallen untersucht. Dieses Zweiparametermodellpotential sagt erfolgreich die Kohiisionsenergie, die elastischen Konstanten hoherer Ordnung und die Druckableitungen der elastischen Konstanten zweiter Ordnung fur CaF,-SrF,-Mischkristalle voraus.

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“…In silver halides, the pressure derivative of shear modulus is negative, i.e. dC/dP < 0 (Cain, 1977). In that case, from Eq.…”

Section: Application Of the Cb Model In Periclasementioning

confidence: 94%

The underlying model for defect parameters in materials of geophysical interest and Seismic Electric Signals

Dologlou

2012

Nat. Hazards Earth Syst. Sci.

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Abstract. Here, we investigate whether the bulk or the shear is the appropriate modulus for the defect parameters in different materials by focusing on those of geophysical interest. We show that the self-diffusion process and just also the bulk modulus should be related to defect parameters. It is this interrelation which accounts for the emission of electric signals before fracture, and is thus in accordance with the physical basis of the Seismic Electric Signal prior to earthquakes in Greece.

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The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals

Cited by 105 publications

References 11 publications

Second-order elastic constants of AgCl from 20 to 430°C

Second-order elastic constants of AgCl from 20 to 430°C

Study of Cohesion, Harmonic and Anharmonic Elastic Properties of CaF₂—SrF₂ Mixed Crystals

The underlying model for defect parameters in materials of geophysical interest and Seismic Electric Signals

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The elastic constants and their temperature and pressure derivatives of AgBr-AgCl mixed crystals

Cited by 105 publications

References 11 publications

Second-order elastic constants of AgCl from 20 to 430°C

Second-order elastic constants of AgCl from 20 to 430°C

Study of Cohesion, Harmonic and Anharmonic Elastic Properties of CaF2—SrF2 Mixed Crystals

The underlying model for defect parameters in materials of geophysical interest and Seismic Electric Signals

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Study of Cohesion, Harmonic and Anharmonic Elastic Properties of CaF₂—SrF₂ Mixed Crystals