Lattice dynamics of zinc and cadmium

Sinha, H.P.; Upadhyaya, J.C.

doi:10.1016/0022-3697(77)90143-3

Cited by 6 publications

(1 citation statement)

References 17 publications

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“…The AIMD results agree with the IXS ones although open squares give a slightly higher energies than black circles at the top of the dispersion curve. We plot the dispersion curve of crystalline Cd with hcp form [16]. Probably owing to directional dependence of the elastic property, the Figure 5 shows S (Q) of liquid Ca, Mg and Cd reported by Waseda [17], as a function of Q/Q p , where Q p is the first peak position of S (Q) indicated in the figure.…”

Section: Resultsmentioning

confidence: 97%

Dispersion relations of the acoustic modes in divalent liquid metals

et al. 2017

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Abstract. Collective dynamics in liquid Ca and liquid Cd was studied by inelastic x-ray scattering (IXS). Using our experimental technique to prepare proper sample cells and high performance of an IXS beamline (BL35XU) at SPring-8 in Japan, the dynamic structure factor with reasonable statistics was obtained for these divalent liquid metals. For both liquids, the dynamic structure factor at low Q exhibits a central peak with a shoulder or small hump clearly visible on each side, and the inelastic excitation energy determined using the model function composed of Lorentzian and the damped harmonic oscillator function disperses with increasing Q. The dispersion curves of these liquids were compared with that of the longitudinal acoustic phonon in each crystalline phase. From these results, clear difference in the interatomic interaction between liquid Ca and liquid Cd was inferred.

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Section: Resultsmentioning

confidence: 97%

Dispersion relations of the acoustic modes in divalent liquid metals

et al. 2017

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On the Inconsistencies of Axially Symmetric Force Models for Noncubic Solids

Ramamurthy

1987

Physica Status Solidi (b)

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for noncubic solids and the circumstances under which its phonon frequencies become imaginary are analysed by making use of this model in the lattice dynamical study of face centred tetragonal indium. It is shown that the arbitrary differences in the tangential force constants along x and z directions destroy the compatibility between off-diagonal and diagonal matrix elements, relatively stronger off-diagonal elements give rise to imaginary frequencies at certain wave vectors along nonsymmetry directions while the failure of this model to comply with the rotational invariance conditions manifests itself as the elastic inconsistency. The distortions introduced by the deficiencies of this model into the phonon dispersion curves of f.c.t. indium, consequences of imposing additional invariance conditions on this model as well as its apparent equivalence with central and general tensor force models, are discussed.Der Ursprung der elastischen Inkonsistenz eines von Lehman, Wolfram und De Wames vorgeschlagenen, modifizierten axialsymmetrischen Kraftmodells fur nichtkubische Festkorper und die Umstiinde, unter denen die Phononenfrequenzen imaginar werden, werden analysiert, wobei das Model1 fur die Untersuchung der Gitterdynamik fur tetragonal fliichenzentriertes Indium benutzt wird. Es wird gezeigt, dal3 die statistischen Differenzen in den Konstanten der Tangentialkraft in x-und z-Richtung die Kompatibilitat zwischen nichtdiagonalen und diagonalen Matrixelementen zerstoren ; relativ stlirkere Nichtdiagonalelemente geben AnlaB zu imaginaren Frequenzen bei bestimmten Wellenvektoren in nichtsymmetrischen Richtungen, wahrend die Unfahigkeit dieses Modells, sich den Rotations-Invarianzbedingungen zu fugen, sich als elastische Inkonsistenz manifestiert. Die durch die Mangel dieses Modells eingefiihrten Verzerrungen der Phononendispersionskurven von t.f.z. Indium, die Folgen der auferlegten zusatzlichen Invarianzbedingungen fur dieses Modell und auch seine scheinbare Aquivalenz mit zentralen. und allgemeinen Tensorkraftmodellen werden diskutiert.

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1.3 References for 1

Schober¹,

Dederichs²

Landolt-Börnstein - Group III Condensed Matter

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Lattice dynamics of zinc and cadmium

Cited by 6 publications

References 17 publications

Dispersion relations of the acoustic modes in divalent liquid metals

Dispersion relations of the acoustic modes in divalent liquid metals

On the Inconsistencies of Axially Symmetric Force Models for Noncubic Solids

1.3 References for 1

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