Evaluation of Third‐Order and Fourth‐Order Elastic Constants of Cesium Halides and Thallium Halides

Shanker, J.; Singh, Jaspal; Jain, G. D.

doi:10.1002/pssb.2221050145

Cited by 13 publications

(3 citation statements)

References 18 publications

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“…The occurence of this negative sign indicates the dominance of the repulsive forces in these cases for a proper understanding of their TOEC. Such a prediction of sign, especially in the cases of thallium halides, is consistent with the recent analysis of Shanker et al [31]. However, the comments on the accuracy of our results are restricted until the report of the experimental data on TOEC for the solids under consideration.…”

Section: Resultssupporting

confidence: 92%

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Analysis of Anharmonic Properties of Some Partially Covalent Crystals

Singh

Khare

1984

Physica Status Solidi (b)

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The anharmonic properties of silver, thallium, and copper halides are analysed by means of a new interionic potential model which incorporates the effects of the long-range Coulomb and threebody interactions and the short-range van der Waals (vdn') attraction and overlap repulsion extended up to the second-neighbour ions. The model potential is applied to investigate the thirdorder elastic constants and the pressure derivatives of second-order elastic constants of the crystals. Additively some thermodynamic and thermoelastic behaviours of these solids are calculated. The results agree fairly well with the available experimental data and show a consistent trend throughout.Die Anharmonizitiitseigenschaften von Silber-, Thallium-und Kupferhalogeniden werden mittels eines neuen Interionenpotentialmodells, das die Einflusse der weitreichenden Coulomb-und Dreikorperwechselwirkungen und der nahwirkenden van der Waals (vdW)-Anziehung und UberIappungsabstoBung bis zu den zweiten Ionennachbarn enthalt, analysiert. Das Modellpotential wird zur Untersuchung der elastischen Konstanten dritter Ordnung und der Druckableitungen der elastischen Konstanten zweiter Ordnung der Kristalle benutzt. Daneben werden einige thermodynarnische und thermoelastische GroBen dieser Festkorper berechnet. Die Ergebnisse stimmen verhaltnismLBig gut mit zur Verfugung stehenden experimentellen Daten iiberein und zeigen im ganzen einen einheitlichen Trend.

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Section: Resultssupporting

confidence: 92%

“…The values in parantheses are taken from [31]. Table 5 and illustrated their significance by calculating the Griineisen parameters.…”

Section: Third-order Elastic Constantsmentioning

confidence: 99%

Analysis of Anharmonic Properties of Some Partially Covalent Crystals

Singh

Khare

1984

Physica Status Solidi (b)

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“…The three-body charge transfer f is also considered to depend exponentially on r [ 5 ] , (f(7))a x 10' (8) …”

Section: Methods Of Analysismentioning

confidence: 99%

Temperature Dependence of Fourth‐Order Elastic Constants of Alkali Halide Crystals

Varshney

Shanker

1985

Physica Status Solidi (b)

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A method for evaluating the temperature dependence of fourth-order elastic constants (FOEC) of NaCl as well as CsC1-structure alkali halides is developed on the basis of the phonon-pressure theory. Eleven distinct values of FOEC for each alkali halide crystal are calculated at 0 K and at room temperature (300 K). The pressure derivatives of second and third-order elastic constants are calculated a t both the temperatures. The method is based on the phonon-pressure theory incorporating Lundqvist's three-body potential. The second-order temperature derivatives of second-order elastic constants are also evaluated. The results obtained are discussed and compared with other investigations. The importance and significance of temperature contributions to various order elastic constants are discussed.Es wird eine Methode zur Berechnung der Temperaturabhangigkeit der elastischen Konstanten vierter Ordnung (FOEC) von Alkalihalogeniden mit NaCl-und CsC1-Struktur auf der Grundlage der Phonondrucktheorie entwickelt. Elf unterschiedliche Werte des FOEC fur jeden Alkalihalogenidkristall werden bei 0 K und Zimmertemperatur (300 K) berechnet. Die Druckableitungen der elastischen Konstanten zweiter und dritter Ordnung werden ebenfalls fur beide Temperaturen berechnet. Die Methode beruht auf der Phonondrucktheorie und schliel3t das Lundqvist-Drei-Korperpotential ein. Temperaturableitungen zweiter Ordnung der elastischen Konstanten zweiter Ordnung werden ebenfalls berechnet. Die erhaltenen Ergebnisse werden diskutiert und mit anderen Untersuchungen verglichen. Die Bedeutung und Signifikanz der Temperaturbeitrage zu elastischen Konstanten verschiedener Ordnung werden diskutiert. T a b l e 1

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Third- and fourth-order elastic constants for silver halides, alkaline earth oxides, and chalcogenides of Pb and Sn

Shanker¹,

Singh²

1982

phys. stat. sol. (a)

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The third-order and fourth-order elastic constants and the pressure derivatives of the second-and third-order elastic constants are calculated for AgCI, AgBr, MgO, CaO, SrO, BaO, PbS, PbSe, PbTe, and SnTe crystals using the expressions based on Lundqvist's three body-potential. Mittels der auf dem Lundqvist-Dreikorper-Potential beruhenden Gleichungen werden die elastischen Konstanten dritter und vierter Ordnung und die Druckableitungen der elastischen Konstanten zweiter und dritter Ordnung fur AgC1-AgBr-, MgO-, CaO-, SrO-, BaO-, PbS-, PbSe-, PbTeund SnTe-Kristalle berechnet.

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Evaluation of Third‐Order and Fourth‐Order Elastic Constants of Cesium Halides and Thallium Halides

Cited by 13 publications

References 18 publications

Analysis of Anharmonic Properties of Some Partially Covalent Crystals

Analysis of Anharmonic Properties of Some Partially Covalent Crystals

Temperature Dependence of Fourth‐Order Elastic Constants of Alkali Halide Crystals

Third- and fourth-order elastic constants for silver halides, alkaline earth oxides, and chalcogenides of Pb and Sn

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