Grüneisen parameter and propagation velocities of acoustic waves in vitreous solids

2012 ◽  
Vol 54 (8) ◽  
pp. 1643-1647 ◽  
Author(s):  
D. S. Sanditov ◽  
S. B. Munkueva ◽  
D. Z. Batlaev ◽  
S. Sh. Sangadiev
Keyword(s):  
Acoustic Waves ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Propagation Velocities

scholarly journals Упругие свойства и ангармонизм твердых тел

2022 ◽  
Vol 64 (2) ◽  
pp. 241
Author(s):  
Д.С. Сандитов
Keyword(s):  
Acoustic Waves ◽  
Lattice Vibration ◽  
Interatomic Bond ◽  
Vibration Modes ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Normal Lattice ◽  
Transverse Acoustic ◽  
Definition Of ◽  
The Relationship

The squares of the velocities of the longitudinal and transverse acoustic waves separately are practically not associated with anharmonicity, and their ratio (vL2 / vS2) turns out to be a linear function of the Grüneisen parameter γ - the measure of anharmonicity. The obtained dependence of (vL2 / vS2) on γ is in satisfactory agreement with the experimental data. The relationship between the quantity (vL2 / vS2) and anharmonicity is explained through its dependence on the ratio of the tangential and normal stiffness of the interatomic bond λ, which is a single-valued function of the Grüneisen parameter λ (γ). The relationship between Poisson's ratio μ and Grüneisen parameter γ, established by Belomestnykh and Tesleva, can be substantiated within the framework of Pineda's theory. Attention is drawn to the nature of the Leont'ev formula, derived directly from the definition of the Grüneisen parameter by averaging the frequency of normal lattice vibration modes. The connection between Grüneisen, Leontiev and Belomestnykh-Tesleva relations is considered. The possibility of a correlation between the harmonic and anharmonic characteristics of solids is discussed.

Dependence of the ratio of squares of the velocity of acoustic waves in solids on the Gruneisen parameter

2021 ◽  
pp. 32-37
Author(s):  
D.S. Sanditov ◽  
◽  
S.S. Badmaev ◽  
A.A. Mashanov ◽  
◽  
...  
Keyword(s):  
Experimental Data ◽  
Acoustic Wave ◽  
Acoustic Waves ◽  
Interatomic Bond ◽  
Grüneisen Parameter ◽  
Theoretical Dependence ◽  
Gruneisen Parameter ◽  
Normal Stiffness ◽  
Wave Velocities ◽  
The Right

It is found that in the Leont'ev and Belomestnykh-Tesleva formulas for the Grüneisen parameter, the right-hand sides of the equalities depend on anharmonicity through the dependence of the ratio of the squared acoustic wave velocities ( v L2 / v S2) on the Grüneisen parameter γ. The theoretical dependence of ( v L2 / v S2) on γ generally agrees with experimental data for both crystals and glassy solids. The quantity ( v L2 / v S2) turns out to be a single-valued function of the ratio of the tangential and normal stiffness of the interatomic bond.

Low temperature Grüneisen parameter of cubic ionic crystals

1987 ◽  
Vol 43 (3) ◽  
pp. 399-411 ◽  
Author(s):  
Alicia Batana ◽  
María C. Monard ◽  
María Rosario Soriano
Keyword(s):  
Low Temperature ◽  
Ionic Crystals ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter
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