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Frontiers of Materials Science

ISSN 2095-025X

ISSN 2095-0268(Online)

CN 11-5985/TB

Postal Subscription Code 80-974

2018 Impact Factor: 1.701

Front. Mater. Sci.    2008, Vol. 2 Issue (3) : 311-315    https://doi.org/10.1007/s11706-008-0039-z
Phonon dispersion in alkali metals and their equiatomic sodium-based binary alloys
VORA Aditya M.
Parmeshwari 165, Vijaynagar Area, Hospital Road;
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Abstract In the present article, the theoretical calculations of the phonon dispersion curves (PDCs) of five alkali metals viz. Li, Na, K, Rb, Cs and their four equiatomic sodium-based binary alloys viz. Na0.5Li0.5, Na0.5K0.5, Na0.5Rb0.5 and Na0.5Cs0.5 to second order in a local model potential is discussed in terms of the real-space sum of the Born von Karman central force constants. Instead of the concentration average of the force constants of pure alkali metals, the pseudo-alloy-atom (PAA) is adopted to directly compute the force constants of the four equiatomic sodium based binary alloys and was successfully applied. The exchange and correlation functions due to the Hartree (H) and Ichimaru-Utsumi (IU) are used to investigate the influence of the screening effects. The phonon frequencies of alkali metals and their four equiatomic sodium-based binary alloys in the longitudinal branch are more sensitive to the exchange and correlation effects in comparison with the transverse branches. The PDCs of pure alkali metals are found in qualitative agreement with the available experimental data. The frequencies in the longitudinal branch are suppressed rather due to IU-screening function than those due to static H-screening function.
Issue Date: 05 September 2008
 Cite this article:   
VORA Aditya M.. Phonon dispersion in alkali metals and their equiatomic sodium-based binary alloys[J]. Front. Mater. Sci., 2008, 2(3): 311-315.
 URL:  
https://academic.hep.com.cn/foms/EN/10.1007/s11706-008-0039-z
https://academic.hep.com.cn/foms/EN/Y2008/V2/I3/311
1 Gajjar P N, Vora A M, Patel M H, et al.. Some static and vibrational properties of equiatomicsodium based binary alloys. Furukawa, et al.., eds. Different Disordered-Systems. Allahabad, India: INDIAS Publications, 2000, 57–61
2 Vora A M . Static and vibrational properties of equiatomic Na-based binary alloys. Journal of Physics and Chemistry of Solids, 2007, 68(9): 1725–1729.
doi:10.1016/j.jpcs.2007.04.017
3 Gajjar P N, Patel M H, Thakore B Y, et al.. Comprehensive study of static and vibrationalproperties of bcc Cs0.3K0.7 alloy. Communications of Physics, 2002, 12: 81
4 Soma T, Ohsugi H, Kagaya H-M . Phonon dispersion curves of Cs-K, Cs-Rb, and Rb-K alloys. Physica Status Solidi B, 1984, 124(2): 525–529.
doi:10.1002/pssb.2221240210
5 Kamitakahara W A, Copley J R D . Local modes in Rb1-cKc alloys: A neutronscattering study. Physical Review B: CondensedMatter, 1978, 18(8): 3772–3781
6 Chushak Y, Baumketner A . Theoretical and computersimulation study of density fluctuations in liquid binary alloys. The European Physical Journal B: Condensed Matterand Complex Systems, 1999, 7(1): 129–136.
doi:10.1007/s100510050595
7 Ichimaru S, Utsumi K . Analytic expression for thedielectric screening function of strongly coupled electron liquidsat metallic and lower densities. PhysicalReview B: Condensed Matter, 1981, 24(12): 7385–7388
8 Harrison W . ElementaryElectronic Structure. Singapore: World Scientific, 1999, 462
9 Cohen M L, Heine V . The fitting of pseudopotentialsto experimental data and their subsequent application. Ehrenreich H, Seitz F, Turnbull D, eds. Solid State Physics (Vol. 24). New York: Academic Press, 1970, 196
10 Shimada K . Calculationof binding energy and elastic constants of simple metals. Physica Status Solidi B, 1974, 61(1): 325–335.
doi:10.1002/pssb.2220610129
11 Woods A D B, Brockhouse B N, Marck R H, et al.. Crystal dynamics of sodium at 90°K. Physical Review, 1962, 128(3): 1112–1120.
doi:10.1103/PhysRev.128.1112
12 Cowley R A, Woods A D B, Dolling G . Crystal dynamics of potassium. I. Pseudopotential analysisof phonon dispersion curves at 9°K. Physical Review, 1966, 150(2): 487–494.
doi:10.1103/PhysRev.150.487
13 Copley J R D, Brockhouse B N . Crystal dynamics of rubidium.I. Measurements and harmonic analysis. Canadian Journal of Physics, 1973, 51(6): 657–675
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