The vibrational dynamics of some Zr-based bulkmetallic glasses were studied at room temperature in terms of phonon eigen frequencies of longitudinal and transverse modes employing three different approaches proposed by Hubbard-Beeby (HB), Takeno-Goda (TG) and Bhatia-Singh (BS). The well recognized model potential is employed successfully to explain electron-ion interaction in the metallic glass. The present findings of phonon dispersion curve are found to be in fair agreement with available theoretical as well as experimental data. The thermodynamic properties obtained by the HB and TG approaches are found to be much lower than those obtained by the BS approach.
Corresponding Author(s):
M. VORA Aditya,Email:voraam@yahoo.com
引用本文:
. Vibrational dynamics of Zr-based bulk metallic glasses[J]. Frontiers of Materials Science in China, 2009, 3(3): 285-300.
Aditya M. VORA. Vibrational dynamics of Zr-based bulk metallic glasses. Front Mater Sci Chin, 2009, 3(3): 285-300.
Vora A M. Study of vibrational dynamics of binary metallic glasses using pseudopotential theory. Dissertation for the Doctoral Degree . India: Sardar Patel University, 2004
2
Vora A M, Patel M H, Gajjar P N, . Vibrational dynamics of Mg70Zn30 metallic glass. Solid State Physics , 2003, 46: 315-316
3
Gajjar P N, Vora A M, Jani A R. Vibrational dynamics of Ca70Mg30 metallic glass. In: Proceedings of the 9th Asia Pacific Physics Conference . Hanoi, Vietnam: The Gioi Publication, 2006, 429-433
4
Vora A M. Phonon dispersion in Ca70Mg30 metallic glass. Chinese Physics Letters , 2006, 23(7): 1872-1875 doi: 10.1088/0256-307X/23/7/060
5
Vora A M. Computation of phonon dynamics of Mg70Zn30 metallic glass. Journal of Materials Science , 2007, 42: 935-940 doi: 10.1007/s10853-006-0016-9
6
Vora A M. Phonon dispersion in amorphous Ni-alloys. Acta Physica Polonica A , 2007, 111(6): 859-871
7
Vora A M., Pseudopotential in the study of phonon dynamics of Pd-based metallic glasses. Journal of Non-Crystalline Solids , 2006, 352: 3217-3223 doi: 10.1016/j.jnoncrysol.2006.05.016
8
Vora A M. Vibrational dynamics of non-crystalline glassy alloys. Frontiers of Materials Science in China , 2007, 1(4): 366-378 doi: 10.1007/s11706-007-0068-z
9
Vora A M.Computation of phonon dispersion in non-crystalline Mg-based alloys. FIZIKA A , 2007, 16(4): 187-206
10
Vora A M. Study of vibrational dynamics of Ca-based metallic glasses by pseudopotential theory. Romanian Journal of Physics , 2008, 53(3-4): 517-533
11
Gupta A, Prasad A, Bhandari D, . Vibrational dynamics of Zr67Ni33 amorphous alloy. Journal of Physics and Chemistry of Solids , 1997, 58(1): 33-37 doi: 10.1016/S0022-3697(96)00104-7
12
Gupta N, Jain K C, Saxena N S. Study of phonon eigenfrequencies in metallic glasses. Physica Status Solidi B , 1993, 176(1): 81-90 doi: 10.1002/pssb.2221760108
13
Hausleitner Ch, Hafner J. Microscopic approach to the structure of transition-metal glasses. Physical Review B: Condensed Matter , 1990, 42: 5863-5866 doi: 10.1103/PhysRevB.42.5863
14
Aihara Jr T, Masumoto T. Dispersion of collective excitations of amorphous and liquid Zr67Ni33 alloys. Journal of Physics: Condensed Matter , 1995, 7(8): 1525-1541 doi: 10.1088/0953-8984/7/8/003
15
Aihara Jr T, Kawazoe Y, Masumoto T. Molecular dynamics simulation for binary amorphous Zr-Ni alloys. Journal of Non-Crystalline Solids , 1996, 205-207(2): 875-878 doi: 10.1016/S0022-3093(96)00474-7
16
Otomo T, Arai M, Suck J-B, . An experimental approach to reveal the origin of collective excitations in Ni33Zr67 metallic glass. Journal of Non-Crystalline Solids , 2002, 312-314: 599-602 doi: 10.1016/S0022-3093(02)01792-1
17
Lad K N, Pratap A. Phonon dispersion in amorphous Zr-Ni alloys. Physica B , 2003, 334(1-2): 135-146 doi: 10.1016/S0921-4526(03)00039-5
18
Hubbard J, Beeby J L. Collective motion in liquids. Journal of Physics C: Solid State Physics , 1969, 2(3): 556-571 doi: 10.1088/0022-3719/2/3/318
19
Bhatia A B, Singh R N. Phonon dispersion in metallic glasses: A simple model. Physical Review B: Condensed Matter , 1985, 31(8): 4751-4758 doi: 10.1103/PhysRevB.31.4751
20
Takeno S, Goda M. A theory of phonons in amorphous solids and its implications to collective motion in simple liquids. Progress of Theoretical Physics , 1971, 45(2): 331-352 doi: 10.1143/PTP.45.331
21
Takeno S, Goda M. A theory of phonons-like excitations in non-crystalline solids and liquids. Progress of Theoretical Physics , 1972,47(3): 790-806 doi: 10.1143/PTP.47.790
22
Wills J M, Harrison W A. Interionic interactions in transition metals. Physical Review B: Condensed Matter , 1983, 28: 4363-4373 doi: 10.1103/PhysRevB.28.4363
23
Shukla M M, Campanha J R. Lattice dynamics of metallic glass Ca70Mg30 on the model of Bhatia and Singh. Acta Physica Polonica A , 1998, 94(4): 655-660
24
Harrison W A. Elementory Electronic Structure. Signapore: World Scientific, 1999
25
Taylor R. A simple, useful analytical form of the static electron gas dielectric function. Journal of Physics F: Metal Physics , 1978, 8(8): 1699-1702 doi: 10.1088/0305-4608/8/8/011
26
Ichimaru S, Utsumi K. Dielectric formulation of strongly coupled electron liquids at metallic densities. IV. Static properties in the low-density domain and the Wigner crystallization. Physical Review B: Condensed Matter , 1981, 24(12): 3220-3225
27
Farid B, Heine V, Engel G E, . Extremal properties of the Harris-Foulkes functional and an improved screening calculation for the electron gas. Physical Review B: Condensed Matter , 1993, 48(16): 11602-11621 doi: 10.1103/PhysRevB.48.11602
28
Sarkar A, Sen D S, Haldar S, . Static local field factor for dielectric screening function of electron gas at metallic and lower densities. Modern Physics Letters B , 1998, 12(16): 639-648 doi: 10.1142/S0217984998000755
29
Heine V, Weaire D. Pseudopotential theory of cohesion and structure. In: Ehrenreich H, Seitz F, Turnbull D, eds. Solid State Physics: Advances and Applications, Vol 24. New York: Academic Press, 1970, 249
30
Hafner J, Heine V. The crystal structure of the elements: pseudopotential theory revised. Journal of Physics F: Metal Physics , 1983, 13(12): 2479-2501 doi: 10.1088/0305-4608/13/12/008
31
Kovalenko N P, Krasny Y P. On the low temperature anomaly of metals glass heat capacity I. Physica B , 1990, 162(2): 115-121 doi: 10.1016/0921-4526(90)90042-S