Lattice vibrations and Debye-Waller factors in f.c.c. metals

Kumar, Mahendra; Hemkar, M. P.

doi:10.1007/bf02726807

Cited by 19 publications

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“…Satisfactory agreement is found. Present result also compares well with those of other reported works of Kumar and Hemkar(1978) and Thakur and Singh (1986).…”

Section: Numerical Computationssupporting

confidence: 93%

“…i-e is evaluated by technique of Thakur and Singh (1986). Evaluated values of model parameters are given below: Thapa and Singh (1998) Results and Discussion: Phonon frequencies Kumar and Hemkar (1978) used short range paired forces in conjunction with Kreb's , model for ion electron interaction in the study of phonon dispersion relations of gold. Fig.1 Phonon dispersion curve for gold along symmetry directions Expt point are due to Lynn et all 1973.…”

Section: Numerical Computationsmentioning

confidence: 99%

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Many Body Interactions and Lattice Dynamics of Gold

Thapa¹

2011

Himalayan Physics

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Lattice dynamics of gold is studied theoretically using phenomenological model. This model considers (i ion-ion and (ii) ionelectron interactions to evaluate the potential energy. Contribution to ion-ion interaction is the sum of two body central interactions between ions and many body interactions among ions. Contribution to potential energy due to ion-electron interactions is evaluated using screened coulomb potential. Using this model phonon frequencies of gold are computed at 48 non-equivalent points of Brillouin zones of crystal and compared with experimental points. Lattice specific heats at different temperatures are evaluated by dividing the frequency spectrum in interval of 0.1 tiga hertz. Using the computed values of lattice specific heats, Debye characteristic temperatures of gold are computed. The model is used to calculate compressibility and Poission's ratio. Agreement of theoretical calculations with experimental results is satisfactory.Key words: Ion-ion interaction; Ion-electron interaction; Phonon frequency; Lattice specific heat; Debye characteristic temperatureThe Himalayan Physics Vol.1, No.1, May, 2010Page: 44-47Uploaded Date: 28 July, 2011

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“…Satisfactory agreement is found. Present result also compares well with those of other reported works of Kumar and Hemkar(1978) and Thakur and Singh (1986).…”

Section: Numerical Computationssupporting

confidence: 93%

Section: Numerical Computationsmentioning

confidence: 99%

Many Body Interactions and Lattice Dynamics of Gold

Thapa¹

2011

Himalayan Physics

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Temperature variation of phonon limited electrical resistivity in noble metals

Kumar

Hemkar

1979

Physica Status Solidi (b)

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One o K107 the basic tasks of solid state theory has been to account for the e -x t r i c a l resistivity of metals. Bardeen /1/ starting from first principles gave a quantitative description of the resistivity of monovalent metals in the high temperature region. Since then many calculations on simple metals have been carried out using the variational approach, notably the work of Ziman /2/, Bailyn /3/, and Hasegawa /4/. In another approach, Greene and Kohn /5/ used a phase shift analysis with the Friedel sum rule to obtain the electron-ion scattering cross-section for calculating the electrical resistivity .of sodium. Here we consider the temperature dependence of the phonon limited electrical resistivity in noble metals caused by scattering of electrons by 1attice.vibrations using the pseudopotential approach /6/. The advantage with this method is that it allows us to take into account the Umklapp processes and coupling to transverse n z e where m is the electronic mass, e tine electronic charge, n the number of electrons per unit volume, and z the valence of the metal.In the weak scattering approximation, using the pseudopotential and simplest trial function, for lattices with cubic symmetry, the relaxation time z for electron scattering by lattice oscillations is given by /8/, e 1) Allahabad-2 11 002. India.

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Off‐Symmetry Phonon Frequencies of Copper

Chopra

Bouarab

1984

Physica Status Solidi (b)

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A simple phenomenological model is applied t o interpret the experimentally measured off-symmetry phonon frequencies of copper. It is emphasized that a truly acceptable theoretical model should not only give good results in the symmetry directions but must also be capable of a satisfactory reproduction of frequencies in the off-symmetry directions.Ein einfaches phanomenologisches Modell wird benutzt, um die experimentell gemessenen "offSymmetry"-Phononenfrequenzen in Kupfer zu interpretieren. Es wird herausgestelit, dal3 ein wirklich akzeptables theoretisches Modell nicht nur gute Ergebnisse in den Symmetrierichtungen liefern sollte, sondern auch fur eine befriedigende Reproduktion der Frequenzen in den Nichtsymmetrierichtungen geeignet sein muO.

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Lattice vibrations and Debye-Waller factors in f.c.c. metals

Cited by 19 publications

References 50 publications

Many Body Interactions and Lattice Dynamics of Gold

Many Body Interactions and Lattice Dynamics of Gold

Temperature variation of phonon limited electrical resistivity in noble metals

Off‐Symmetry Phonon Frequencies of Copper

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