Debye temperature of cubic crystals

Jasiukiewicz, Cz.; Karpus, V.

doi:10.1016/j.ssc.2003.08.008

Cited by 113 publications

(28 citation statements)

References 15 publications

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“…The Debye average velocity (V D ) is useful to find Debye temperature and thermal relaxation time of the materials. The Debye temperature (T D ) is an important physical parameter of solids, which defines a division line between quantum and classical behaviour of phonons [18]. The following expressions have been used for the evaluation of Debye average velocity and Debye temperature [4,18,19].…”

Section: Higher-order Elastic Constants and Ultrasonic Velocitiesmentioning

confidence: 99%

Ultrasonic investigations in intermetallics

Singh¹,

Pandey²

2009

Pramana - J Phys

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Ultrasonic attenuation for the longitudinal and shear waves due to phononphonon interaction and thermoelastic mechanism have been evaluated in B2 structured intermetallic compounds AgMg, CuZr, AuMg, AuTi, AuMn, AuZn and AuCd along 1 0 0 , 1 1 1 and 1 1 0 crystallographic directions at room temperature. For the same evaluations, second-and third-order elastic constants, ultrasonic velocities, Grüneisen parameters, non-linearity parameter, Debye temperature and thermal relaxation time are also computed. Although the molecular weight of these materials increases from AgMg to AuCd, the obtained results are affected with the deviation number. Attenuation of ultrasonic waves due to phonon-phonon interaction is predominant over thermoelastic loss. Results are compared with available theoretical and experimental results. The results with other well-known physical properties are useful for industrial purposes.

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Section: Higher-order Elastic Constants and Ultrasonic Velocitiesmentioning

confidence: 99%

Ultrasonic investigations in intermetallics

Singh¹,

Pandey²

2009

Pramana - J Phys

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“…An accurate evaluation of the n-dimensional Debye function gives the Debye temperature of solids, which defines a boundary between the quantum-mechanical and classical behavior of phonons [24][25][26]. Debye functions can also be used in the computation of heat capacities of solids using Tarasov equations [6].…”

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confidence: 99%

Accurate Evaluation of the Specific Heat Capacity of Solids and its Application to MgO and ZnO Crystals

et al. 2009

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Using binomial coefficients, new, simple, and efficient algorithms are presented for the accurate and fast calculation of the heat capacity of solids depending on the Debye temperature. As will be seen, the present formulation yields compact, closed-form expressions which enable the straightforward calculation of the heat capacity of solids for arbitrary temperature values. Finally, the algorithm is used to simulate the variation of the specific heat capacity with temperature of MgO and ZnO crystals. The results were compared with those reported in the literature and found to be in close agreement with those of other studies.

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“…where h is a Planck's constant, k B is Boltzmann's constant, V a is the atomic volume, n is the number of atoms per formula unit and v m is average sound velocity, which is approximately calculated from [26,28]:…”

Section: Methods Of Calculationsmentioning

confidence: 99%