Accurate Calculations of the Heat Capacities of Pure Metals Using the Einstein–Debye Approximation

Doğan, Zafer; Mehmetoglu, Tural

doi:10.1007/s10891-019-02082-7

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…[6][7][8] In general, both theoretical and experimental researches have been used to investigate by using simplified geometry on substances that are essentially irregular and very complex. [17][18][19][20][21][22][23] The geometric structure of various natural objects was traditionally built based on relatively simple geometric figures: straight lines, circles, spheres, and polyhedral. However, it is obvious that this classical set, which is quite sufficient for describing the structure of matters, is insufficient when considering loose porous structures.…”

Section: Introductionmentioning

confidence: 99%

A New Development in the Thermodynamic Theory by Considering the Fractal Structure of Substances

Çopuroğlu

Мамедов

2023

Physica Status Solidi (b)

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Fractal structure investigations of materials have a recent tradition in physics with applications to the natural sciences and technology. A new approach of fractal geometry in solids is analyzed, which allows the accurate evaluation of thermodynamic quantities for various values of fractional dimensions. Based on a fractal concept, the modified Einstein–Debye model and its application of thermodynamics are presented, which contribute to the evaluation of thermal properties as well as many materials. The reliable modified analytical expressions of the energy, heat capacities, entropy, enthalpy, and Gibbs free energy are established on the basis of modified Einstein–Debye approximation. This shows the perspective of the utilizing the fractal, describing quantities and parameters that analyze properties of nature.

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Section: Introductionmentioning

confidence: 99%

A New Development in the Thermodynamic Theory by Considering the Fractal Structure of Substances

Çopuroğlu

Мамедов

2023

Physica Status Solidi (b)

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“…Thus, taking into account the analytical Einstein-Debye suggested method [25,26], this paper aims to propose an accurate formulation for the evaluation of the heat capacities of semiconductors in the arbitrary temperature range. In recent studies [27][28][29][30][31], successful results were obtained for the calculation of the heat capacities of materials using the Einstein-Debye approach. The new approximation obtained here provides an effective way to calculate high and low temperature behavior of the heat capacities of semiconductors.…”

Section: Introductionmentioning

confidence: 99%

AN ANALYTICAL TECHNIQUE FOR EVALUATING HEAT CAPACITY OF GeS, GeSe, GeTe AND SnS SEMICONDUCTORS USING EINSTEIN-DEBYE APPROXIMATION

Mehmetoglu

2021

J. Sci. Arts

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A new analytical method for the evaluation of heat capacities of semiconductors (GeS, GeSe, GeTe, and SnS) has been proposed using the Einstein-Debye approximation. These formulae differ from the Debye model representations and they involve a combination of the Einstein and Debye approximations. The proposed method allows developing an increasing accuracy for the determination of the temperature dependent heat capacities of semiconductors GeS, GeSe, GeTe and SnS. The approach suggested in this study for calculation of heat capacities is very well suitable to determine other thermodynamical properties of materials. The temperature dependence of heat capacities of GeS, GeSe, GeTe and SnS semiconductors has been evaluated and shows a good agreement with literature at different temperature ranges.

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Analytical investigation of thermodynamic properties of power electronic semiconductor materials

Dogan,

Mehmetoglu

2024

J Comput Electron

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Accurate Calculations of the Heat Capacities of Pure Metals Using the Einstein–Debye Approximation

Cited by 5 publications

References 26 publications

A New Development in the Thermodynamic Theory by Considering the Fractal Structure of Substances

A New Development in the Thermodynamic Theory by Considering the Fractal Structure of Substances

AN ANALYTICAL TECHNIQUE FOR EVALUATING HEAT CAPACITY OF GeS, GeSe, GeTe AND SnS SEMICONDUCTORS USING EINSTEIN-DEBYE APPROXIMATION

Analytical investigation of thermodynamic properties of power electronic semiconductor materials

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