Research Article

Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach

Volume: 25 Number: 1 March 1, 2022
EN

Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach

Abstract

A nanomaterial equation of state has been combined with Grüneisen approximation in present work to investigate the influence of high pressure on phonon density of state function of C60 through evaluating variations of lattice vibration frequencies and variation of mode density. Furthermore, the effect of high pressure on Debye temperature has been determined by using a formula of volume dependence of Debye temperature. Volume compression ratio in C60 has been computed, using a nanomaterial equation of state. Expressions of pressure dependence of phonon density of state and Debye temperature have been combined with volume compression ratio value. The evaluated result of volume compression ratio and phonon density of state have been compared with the experimental observations and good agreement can be seen.

Keywords

Supporting Institution

Salahaddin university

Project Number

1

Thanks

thanks

References

  1. H. Schober, B. Renker, “Pressure dependence of the external mode spectrum of solid C60, ” physical review B 59 (5), 3287,1999.
  2. J. Haines, J. M. Leger, “An X-ray diffraction study 0f C60 up to 28GPa, ” Solid State Communications, 90 (6), 361,1994.
  3. J. Yu, R. K. Kalia, P. Vashishta, “Phonon dispersion and density of states of solid C60,” Applied Physics Letters 63(93), 3152 ,1993.
  4. T. Horikawa, T. Kinoshita, K. Suito, and A. Onodera, Solid State Commun. 114, 121 (2000).
  5. S. Sh. Rekhviashvili, “Equation of State for Fullerite C60” Physics of the Solid State, 2017, Vol. 59, No. 4, pp. 835–837.
  6. S. Kareem Jalal, S. Ali mawlood, “Size dependent thermodynamic properties of nanoparticles, ” International Journal of Thermodynamics, Vol. 23 (No. 4), 245-250,2020.
  7. A. M. Al-sheikh, S. K. Jalal, R. H. Al-saqa, “Equation of State and Thermo Dynamic Behaviour of C60 under High Pressure,” Universal Journal of Mechanical Engineering 8(1), 59,2020.
  8. R. S. Preston, S. S. Hanna, J. Helerle, ” Mössbaruer effect in metallic Iron. Phys. Rev., ”128( 5) 2207 1962.

Details

Primary Language

English

Subjects

Thermodynamics and Statistical Physics

Journal Section

Research Article

Authors

Adnan Alshekh This is me
Iraq

Publication Date

March 1, 2022

Submission Date

July 1, 2021

Acceptance Date

November 2, 2021

Published in Issue

Year 2022 Volume: 25 Number: 1

APA
Alshekh, A., Kareem, S., & Mawllod, S. (2022). Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach. International Journal of Thermodynamics, 25(1), 10-15. https://doi.org/10.5541/ijot.900071
AMA
1.Alshekh A, Kareem S, Mawllod S. Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach. International Journal of Thermodynamics. 2022;25(1):10-15. doi:10.5541/ijot.900071
Chicago
Alshekh, Adnan, Sırwan Kareem, and Salar Mawllod. 2022. “Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach”. International Journal of Thermodynamics 25 (1): 10-15. https://doi.org/10.5541/ijot.900071.
EndNote
Alshekh A, Kareem S, Mawllod S (March 1, 2022) Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach. International Journal of Thermodynamics 25 1 10–15.
IEEE
[1]A. Alshekh, S. Kareem, and S. Mawllod, “Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach”, International Journal of Thermodynamics, vol. 25, no. 1, pp. 10–15, Mar. 2022, doi: 10.5541/ijot.900071.
ISNAD
Alshekh, Adnan - Kareem, Sırwan - Mawllod, Salar. “Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach”. International Journal of Thermodynamics 25/1 (March 1, 2022): 10-15. https://doi.org/10.5541/ijot.900071.
JAMA
1.Alshekh A, Kareem S, Mawllod S. Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach. International Journal of Thermodynamics. 2022;25:10–15.
MLA
Alshekh, Adnan, et al. “Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach”. International Journal of Thermodynamics, vol. 25, no. 1, Mar. 2022, pp. 10-15, doi:10.5541/ijot.900071.
Vancouver
1.Adnan Alshekh, Sırwan Kareem, Salar Mawllod. Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach. International Journal of Thermodynamics. 2022 Mar. 1;25(1):10-5. doi:10.5541/ijot.900071

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