Thermodynamic Characteristics of 1D Structures

• Authors: S. Jaćimovski , D. Raković
• Languages of publication: EN

Abstracts

EN

In this paper 1D crystal lattice is analyzed within harmonic approximation, with one atom per elementary cell and nearest neighbor interaction included. For this type of crystal lattice dispersion relations are well known. Thermodynamic functions (specific heat and phonon thermal conductivity) are calculated via phonon density of states given in exact form. Thermodynamic variables are calculated for a whole temperature range. In limiting cases of low and high temperatures these thermodynamic variables can be found in analytic forms. For thermal conductivity the results of Callaway model for exact phonon density of states are compared with the results of Callaway model for Debye approximation of phonon density of states.

Keywords

EN

63.20.e; 63.20.D; 63.20.dk; 63.20.kd; 63.20.kg; 63.20.kp; 65.40.Ba; 66.30.h

Discipline

• 63.20.kg: Phonon-phonon interactions
• 63.20.kd: Phonon-electron interactions
• 63.20.dk: First-principles theory
• 63.20.kp: Phonon-defect interactions
• 65.40.Ba: Heat capacity(for specific heat of magnetic materials, see 75.40.-s)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 2
• Pages: 231-233

Dates

published

2011-08

Contributors

author

S. Jaćimovski

• Crime-Police Academy, Cara Dusana Street 196, 11080 Belgrade, Serbia

author

D. Raković

• Faculty of Electrical Engineering, Univeristy of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Belgrade, Serbia

References

• 1. A. S. Davydov, Solid State Theory, Nauka, Moskva 1976, in Russian, p. 33
• 2. C. Kittel, Introduction to Solid State Physics, 7th ed., Wiley, New York 2006, p. 120
• 3. A. M. Kosevich, The Crystal Lattice, Wiley, Weinheim 2005, p. 46
• 4. Y. K. Godovskii, Thermophysics of Polymers, Himiya, Moskva 1982 (in Russian), p. 8
• 5. M. Mijatović, K. Trenčevski, XII Yugoslav Symp. Condens. Matter Phys., Skopje 1992, p. 43
• 6. J. Callaway, Quantum Theory of the Solid State, 2nd ed., Academic, Boston 1991, p. 175
• 7. T. M. Tritt, Thermal Conductivity Theory, Properties and Applications, Kluwer/Plenum, New York 2004, p. 9
• 8. Zh. M. Zhang, Nano/Microscale Heat Transfer, Mc Graw Hill, New York 2007, p. 137
• 9. W-Q. Huang, K-Q. Chen, Z. Shuai, L. Wang, W. Hu, Int. J. Mod. Phys. B 19, 1017 (2005)

Identifiers

DOI

10.12693/APhysPolA.120.231