Phonon dispersion in a metallic glass

Saxena, N. S.; Rani, Meeta; Pratap, Arun; Ram, P. N.; Saksena, M. P.

doi:10.1103/physrevb.38.8093

Cited by 25 publications

(16 citation statements)

References 13 publications

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“…1. It is seen from the figure that, the pair potentials have significant oscillations in the larger r-region and also show fair agreement with the others [1,3,5,6]. The first zero for the pair potential V(r = r 0 ) due to H [33] occurs at r 0 = 8.4 au, while the inclusion of exchange and correlation suppresses this zero at r 0 h4.5 au.…”

Section: Resultssupporting

confidence: 82%

“…[3] Ref. [5,6] [3]. The results of Saxena et al [3] show significant oscillations and the potential energy remains positive in the large r-region.…”

Section: Resultsmentioning

confidence: 85%

“…The Ca 70 Mg 30 glass has been theoretically investigated by Hafner [1] and Hafner-Jaswal [2] on the basis of static structure factor S(q,v) and by Bhatia-Singh [20] using a model potential approach and assuming the force among nearest neighbours as central and volume dependent. Saxena et al [3,4] have studied the phonon dispersion curves (PDCs) of Ca 70 Mg 30 glass using the HB [17], TG [18,19] approaches with effective pair potential (EPP) and effective atom model (EAM). In all these entire calculations, the Ashcroft's well known empty core (EMC) model potential [22] is used.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the knowledge of interatomic interactions we can understand the thermodynamic, mechanical and electronic transport properties of amorphous solids. Such investigations involve measurements of collective density waves at larger momenta and for a few metallic glasses it is possible to measure the dynamical structure factors upto very large wave vectors [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Keeping all these in mind, the theoretical investigations on the vibrational dynamics of three Ca-based amorphous binary metallic glasses viz.…”

Section: Introductionmentioning

confidence: 99%

“…The phonon dynamics of Ca 70 Mg 30 glass has been investigated by many workers theoretically using the pseudopotential theory [1][2][3][4][5][6][7][8][9][10][11][12][20][21][22][23][24] and experimentally [13][14][15][16]. The Ca 70 Mg 30 glass has been theoretically investigated by Hafner [1] and Hafner-Jaswal [2] on the basis of static structure factor S(q,v) and by Bhatia-Singh [20] using a model potential approach and assuming the force among nearest neighbours as central and volume dependent.…”

Section: Introductionmentioning

confidence: 99%

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Vibrational dynamics of non-crystalline glassy alloys

Vora¹

2007

Front. Mater. Sci. China

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The vibrational dynamics of three Ca-based non-crystalline alloys viz. Ca 70 Mg 30 , Ca 70 Zn 30 and Ca 60 Al 40 have been studied at room temperature in terms of the phonon eigen frequencies of longitudinal and transverse modes, employing three theoretical formulations given by HubbardBeeby (HB), Takeno-Goda (TG) and Bhatia-Singh (BS). Five local field correction functions viz. Hartree (H), Taylor (T), Ichimaru-Utsumi (IU), Farid et al. (F) and Sarkar et al. (S)are used for the first time in the present investigation to study the screening influence on the aforesaid properties. The pseudo-alloy-atom (PAA) model is applied for the first time instead of Vegard's Law. Long wavelength limits of the phonon modes are used to investigate the elastic and thermal properties of the system. The low temperature specific heat is also calculated from the elastic limit of the phonon dispersion curves (PDCs). The present findings of the PDCs of Ca 70 Mg 30 glass are found in fair agreement with available theoretical and experimental data.

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Section: Resultssupporting

confidence: 82%

“…[3] Ref. [5,6] [3]. The results of Saxena et al [3] show significant oscillations and the potential energy remains positive in the large r-region.…”

Section: Resultsmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Vibrational dynamics of non-crystalline glassy alloys

Vora¹

2007

Front. Mater. Sci. China

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Dynamics of Liquid Na_0.5K_0.5Alloy

Jain

Gupta

Saxena

1990

Physica Status Solidi (b)

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An effort is made to study the motion of effective atoms in liquid Na,.,K,,, alloy in terms of velocity autocorrelation function, power spectrum, and mean square displacement analogous to the single particle motion in liquid metals employing the model developed by Glass and Rice in quasi crystalline approximation. The motions of effective atoms are also studied through the collective excitations by computing the longitudinal and transverse phonon frequencies. The results of collective excitations are in good agreement with the molecular dynamics (MD) results. Besides, results of thermodynamical properties such as isothermal bulk modulus and Debye temperature are also presented. The computed values are in good agreement with the results obtained by other theoretical calculations.Es werden Anstrengungen unternommen, um die Bewegung von effektiven Atomen in flussigen Na,,,K,,,-Legierungen mittels Geschwindigkeits-Autokorrelationsfunktion, Leistungsspektrum und mittleren Verschiebungen in Analogie zur Einpartikelbewegung in flussigen Metallen zu untersuchen, wobei das Model1 von Glass und Rice in Quasikristallnaherung benutzt wird. Die Bewegungen der effektiven Atome werden auch mit kollektiven Anregungen durch Berechnung der longitudinalen und transversalen Phononfrequenzen untersucht. Die Ergebnisse der kollektiven Anregungen sind in guter Ubereinstimmung mit Ergebnissen der Molekulardynamik (MD). Dariiberhinaus werden die thermodynamischen Eigenschaften, wie isothermer Elastizitatsmodul und Debye-Temperatur, ebenfalls angegeben. Die berechneten Werte sind in guter Ubereinstimmung mit den Ergebnissen, die durch andere theoretische Berechnungen erhalten werden. IntroductionDuring the past two decades the field of liquid state physics has seen remarkable advances both in experimental procedures and in theoretical understanding. The analysis of these liquids is complicated by the presence of many-body forces acting between the atoms and ions. Fortunately, it is possible to construct a theoretical framework that defines effective two-body potentials that are in good agreement with experimental data for the liquid state. Much of the experimental data used to investigate properties of the liquids come from X-ray and neutron scattering studies.In recent years there has been a considerable interest in the physics of liquid metals as well as liquid alloys. Numerous attempts [l to 31 have been made for the study of the structure and dynamics of these systems at their respective melting temperatures. Molecular dynamics is a recent approach to study the atomic motions in these alloys and metals. The instantaneous structure of the liquid metals or alloys can be obtained using X-ray diffraction or neutron inelastic scattering but these techniques give only time independent information about the arrangement of atoms in these systems and hence the dynamic picture could not ') Jaipur 302004, India

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Energy Spectrum and Phonon Excitation Damping in Many‐Component Amorphous Solids

Vakarchuk

Myhal

Tkachuk

1991

Physica Status Solidi (b)

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Phonon excitations in many-component amorphous solids are treated using the Green's function method. The equation for the energy spectrum of phonon excitations is obtained. This equation takes into account the hard core in the interatomic interaction potential, the temperature dependence of phonon frequencies, and their damping, caused by phonon scattering on structure fluctuations. Zeroth approximation is considered in a space with arbitrary dimensionality. In this case it coincides with the quasi-crystalline one. The explicit expressions for the optic and acoustic modes as well as for the longitudinal and transverse velocity of sound are obtained as example in the two-component case. In the space of arbitrary dimension the asymptotic of damping is studied for the one-component system in the long-wave region. Numerical calculations of the "frequency-wave vector" dependence are performed for some amorphous metals in the quasi-crystalline approximation. A OIITAWCKUX MOA, npOAOJIbHOfi A IIOnepe9-HOG CKOPOCTA 3ByKa. npOBeAeH0 UCCJIeAOBaHAe aCAMnTOTRKH 3aTyXaHAX B AIIHHHOBOJIHOBOfi 06-JIaCTU AJIX OAHOKOMIIOHeHTHOfi CACTeMbI B IIpOCTpaHCTBe npOU3BOJIbHOfi pa3MePHOCTA. BbIIIOnHeHbI YHCJIeHHbIe PaCWTbI 3aBHCAMOCTH ,,9aCTOTa-BOJIHOBOfi BeKTOp" AJIX PRAa aMOPI$HbIX MeTanJIOB B KBa3AKpACTaJIJIAYeCKOM n p u 6 n~~e~~~.Tenax. IIonyseHo ypameme nnr! s~e p r e~u r e c~o r o cnempa (PoHoHHbIx B036YXAeHUfi, yvaTbrsaIoruee

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Phonon dispersion in a metallic glass

Cited by 25 publications

References 13 publications

Vibrational dynamics of non-crystalline glassy alloys

Vibrational dynamics of non-crystalline glassy alloys

Dynamics of Liquid Na_0.5K_0.5Alloy

Energy Spectrum and Phonon Excitation Damping in Many‐Component Amorphous Solids

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Phonon dispersion in a metallic glass

Cited by 25 publications

References 13 publications

Vibrational dynamics of non-crystalline glassy alloys

Vibrational dynamics of non-crystalline glassy alloys

Dynamics of Liquid Na0.5K0.5Alloy

Energy Spectrum and Phonon Excitation Damping in Many‐Component Amorphous Solids

Contact Info

Product

Resources

About

Dynamics of Liquid Na_0.5K_0.5Alloy