Lattice Dynamics of Body-Centered and Face-Centered Cubic Metallic Elements. II

Launay, Jules de

doi:10.1063/1.1739871

Cited by 90 publications

(5 citation statements)

References 4 publications

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“…The calculated variation of the characteristic Debye temperature OD is also shown 011 Fig. 9 and 10 and compared with available experimental results [20,21] and with the 8, values a t 0 K calculated from elastic constants (at room temperature) and De Launay's tables [19]. Table 3 gives OD values calculated for different temperatures.…”

Section: Won? Number H-')mentioning

confidence: 82%

Lattice Dynamics of ZnTe and CdTe

Plumelle

Vandevyver

1976

Physica Status Solidi (b)

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The model used is a rigid-ion model with an effective ionic charge including general interactions for nearest and next nearest neighbours and long range Coulomb interactions. It provides a good fit with recent neutron data for ZnTe and CdTe on condition that no hypothesis is made a priori on the interatomic forces and that the eleven parameters given by the model are used. E s wird ein Modell starrer Ionen mit einer effektiven Ionenladung benutzt, unter Einbeziehung allgemeiner Wechselwirkungen fur nachste und iibernachste Nachbarn und langreichweitiger Coulomb-Wechselwirkungen. Es liefert eine gute Anpassung an neuere Neutronendaten fur ZnTe und CdTe unter der Voraussetzung, dal3 a priori keine Hypothese iiber die interatomaren Krafte gemacht wird, und dal3 die elf Parameter, die das Modell liefert, benutzt werden.A rigid-ion model (RIM) with four parameters was used to calculate the phonon dispersion curves for ZnTe [5] and to study localized substitutional impurity modes in compounds having zincblende structure including CdTe and ZnTe [B]. A seven-parameter RIM was used later to calculate the CdTe and ZnTe phonon dispersion curves [7]. I n both cases the determination of the force constants was based only on optical data and on experimental values of the elastic constants Cll, C12, Cd4, and a noticeable lack of agreement was found between the phonon dispersion curves thus calculated and the neutron scattering data obtained afterwards [8,9].Kunc [lo, 111 gave a dynamic description of 15 compounds having the zincblende crystal structure; these include ZnS, ZnSe, CdTe, ZnTe but for the last two, in the absence of neutron scattering data, the description was incomplete. l) B.P. 2, 91 190 Gif-sur-Yvette. } 352 52 113-6. Discussion A first observation is the high sensitivity of the C branches to the values of the parameters El and E,. This is illustrated by the CdTe phonon dispersion curves calculated for El = E, = 0, using the values of Table 1 for the other parameters. The conclusion is that a priori hypotheses on short-range forces reducing the number of parameters (for instance the assumption of central

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Section: Won? Number H-')mentioning

confidence: 82%

Lattice Dynamics of ZnTe and CdTe

Plumelle

Vandevyver

1976

Physica Status Solidi (b)

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“…This can also be compared to the result obtained via the de Launay formula; a general semianalytic function to determine ⌰ D ͑T͒ for cubic metals from the elastic constants. [23][24][25] Given the elastic constants listed above, this formula yields ⌰ D ͑T =0 K͒ = 477 K. 12 The elastic constants for quenched Fe 81.3 Ga 18.7 were independently measured by Clark et al 1 as a function of temperature. These were extrapolated to 0 K and substituted into the de Launay formula yielding ⌰ D ͑T =0 K͒ = 380 K. They were also used via Eqs.…”

Section: B Lattice Heat Capacitymentioning

confidence: 99%

Low temperature heat capacity ofFe1−xGaxalloys with large magnetostriction

Hill

McQueeney

et al. 2008

Phys. Rev. B

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The low temperature heat capacity C p of Fe 1−x Ga x alloys with large magnetostriction has been investigated. The data were analyzed in the standard way using electron ͑␥T͒ and phonon ͑␤T 3 ͒ contributions. The Debye temperature ⌰ D decreases approximately linearly with increasing Ga concentration, consistent with previous resonant ultrasound measurements and measured phonon dispersion curves. Calculations of ⌰ D from lattice dynamical models and from measured elastic constants C 11 , C 12 , and C 44 are in agreement with the measured data. The linear coefficient of electronic specific heat ␥ remains relatively constant as the Ga concentration increases, despite the fact that the magnetoelastic coupling increases. Band structure calculations show that this is due to the compensation of majority and minority spin states at the Fermi level.

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“…This can also be compared to the result obtained via the de Launay formula; a general semi-analytic function to determine Θ D (T ) for cubic metals from the elastic constants. 22,23,24 Given the elastic constants listed above, this formula yields Θ D (T = 0 K) = 477 K. 11 The elastic constants for quenched Fe 81.3 Ga 18. As can be seen in Fig.…”

Section: B Lattice Heat Capacitymentioning

confidence: 99%

Low temperature heat capacity of Fe_{1-x}Ga_{x} alloys with large magneostriction

Hill,

McQueeney,

et al. 2007

Preprint

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The low temperature heat capacity C p of Fe 1−x Ga x alloys with large magnetostriction has been investigated. The data were analyzed in the standard way using electron (γT ) and phonon (βT 3 ) contributions. The Debye temperature Θ D decreases approximately linearly with increasing Ga concentration, consistent with previous resonant ultrasound measurements and measured phonon dispersion curves. Calculations of Θ D from lattice dynamical models and from measured elastic constants C 11 , C 12 and C 44 are in agreement with the measured data. The linear coefficient of electronic specific heat γ remains relatively constant as the Ga concentration increases, despite the fact that the magnetoelastic coupling increases. Band structure calculations show that this is due to the compensation of majority and minority spin states at the Fermi level.

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Lattice Dynamics of Body-Centered and Face-Centered Cubic Metallic Elements. II

Cited by 90 publications

References 4 publications

Lattice Dynamics of ZnTe and CdTe

Lattice Dynamics of ZnTe and CdTe

Low temperature heat capacity ofFe1−xGaxalloys with large magnetostriction

Low temperature heat capacity of Fe_{1-x}Ga_{x} alloys with large magneostriction

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