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

Year 2022, Volume: 25 Issue: 1, 10 - 15, 01.03.2022
https://doi.org/10.5541/ijot.900071

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.

Supporting Institution

Salahaddin university

Project Number

1

Thanks

thanks

References

  • H. Schober, B. Renker, “Pressure dependence of the external mode spectrum of solid C60, ” physical review B 59 (5), 3287,1999.
  • J. Haines, J. M. Leger, “An X-ray diffraction study 0f C60 up to 28GPa, ” Solid State Communications, 90 (6), 361,1994.
  • J. Yu, R. K. Kalia, P. Vashishta, “Phonon dispersion and density of states of solid C60,” Applied Physics Letters 63(93), 3152 ,1993.
  • T. Horikawa, T. Kinoshita, K. Suito, and A. Onodera, Solid State Commun. 114, 121 (2000).
  • S. Sh. Rekhviashvili, “Equation of State for Fullerite C60” Physics of the Solid State, 2017, Vol. 59, No. 4, pp. 835–837.
  • S. Kareem Jalal, S. Ali mawlood, “Size dependent thermodynamic properties of nanoparticles, ” International Journal of Thermodynamics, Vol. 23 (No. 4), 245-250,2020.
  • 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.
  • R. S. Preston, S. S. Hanna, J. Helerle, ” Mössbaruer effect in metallic Iron. Phys. Rev., ”128( 5) 2207 1962.
  • D. Sharma, M. Kumar, “Effect of pressure on nanomaterials,” Physica B, 405(13), 2820,2010.
  • S. K. Sharma, “Debye temperature of hcp Iron at extreme compression, Solid State Communications, ” 149 (47), 2207,2009.
  • P. Singh, N. K. Gaur, “Thermal and elastic properties of C60 in FCC phase, ” Sop transactions on theoretical physics, 1(2) 68 ,2014
  • R. J. Angel, F. Miozzi, M. Alvaro,” Limits to the Validity of Thermal-Pressure Equations of State” Minerals 9, 562,2019.
  • S. S. Rekhviashvili, “Equation of state for Fullerite C60, Physics of the Solid State, ” 59(4), 835, 2017.
  • Anderson, O.L. Equations of State of Solids for Geophysics and Ceramic Science; Oxford University Press: Oxford, UK, 1995; p. 432.
  • J. Yu, R. K. Kalia, P. Vashishta, “Phonon dispersion and density of states of solid C60,” Applied Physics Letters 63(93), 3152 ,1993.
  • L. Burakovsky, D. L. Preston, “An analytical model of Grüneisen parameter at all densities,’’ Journal of physics and chemistry of solids, 65 2002.
  • S.Kareem Jalal, A. M. Al-Sheikh, R. H. Al-Saqa, “ High Pressure Effects on the Phonon Frequency Spectrum of Silicon Nanoparticle,” Iran J Sci Technol Trans Sci 45, 391–396 , 2021.
  • J. L. Dlouha, “The influence of pressure on the Mössbauer effect, ” Czech. J. Phys. B 14 (8), 57, 1964.
  • S. Kareem Jalal, A. M Al-Sheikh, “ Theoretical high pressure study for thermoelastic properties of NaCl-B1m” Rafidain J Sci 25:80–89, 2014.
  • P. M. Sherwood, “Vibrational spectroscopy of solids, ” Cambridge university press,182(1972).
Year 2022, Volume: 25 Issue: 1, 10 - 15, 01.03.2022
https://doi.org/10.5541/ijot.900071

Abstract

Project Number

1

References

  • H. Schober, B. Renker, “Pressure dependence of the external mode spectrum of solid C60, ” physical review B 59 (5), 3287,1999.
  • J. Haines, J. M. Leger, “An X-ray diffraction study 0f C60 up to 28GPa, ” Solid State Communications, 90 (6), 361,1994.
  • J. Yu, R. K. Kalia, P. Vashishta, “Phonon dispersion and density of states of solid C60,” Applied Physics Letters 63(93), 3152 ,1993.
  • T. Horikawa, T. Kinoshita, K. Suito, and A. Onodera, Solid State Commun. 114, 121 (2000).
  • S. Sh. Rekhviashvili, “Equation of State for Fullerite C60” Physics of the Solid State, 2017, Vol. 59, No. 4, pp. 835–837.
  • S. Kareem Jalal, S. Ali mawlood, “Size dependent thermodynamic properties of nanoparticles, ” International Journal of Thermodynamics, Vol. 23 (No. 4), 245-250,2020.
  • 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.
  • R. S. Preston, S. S. Hanna, J. Helerle, ” Mössbaruer effect in metallic Iron. Phys. Rev., ”128( 5) 2207 1962.
  • D. Sharma, M. Kumar, “Effect of pressure on nanomaterials,” Physica B, 405(13), 2820,2010.
  • S. K. Sharma, “Debye temperature of hcp Iron at extreme compression, Solid State Communications, ” 149 (47), 2207,2009.
  • P. Singh, N. K. Gaur, “Thermal and elastic properties of C60 in FCC phase, ” Sop transactions on theoretical physics, 1(2) 68 ,2014
  • R. J. Angel, F. Miozzi, M. Alvaro,” Limits to the Validity of Thermal-Pressure Equations of State” Minerals 9, 562,2019.
  • S. S. Rekhviashvili, “Equation of state for Fullerite C60, Physics of the Solid State, ” 59(4), 835, 2017.
  • Anderson, O.L. Equations of State of Solids for Geophysics and Ceramic Science; Oxford University Press: Oxford, UK, 1995; p. 432.
  • J. Yu, R. K. Kalia, P. Vashishta, “Phonon dispersion and density of states of solid C60,” Applied Physics Letters 63(93), 3152 ,1993.
  • L. Burakovsky, D. L. Preston, “An analytical model of Grüneisen parameter at all densities,’’ Journal of physics and chemistry of solids, 65 2002.
  • S.Kareem Jalal, A. M. Al-Sheikh, R. H. Al-Saqa, “ High Pressure Effects on the Phonon Frequency Spectrum of Silicon Nanoparticle,” Iran J Sci Technol Trans Sci 45, 391–396 , 2021.
  • J. L. Dlouha, “The influence of pressure on the Mössbauer effect, ” Czech. J. Phys. B 14 (8), 57, 1964.
  • S. Kareem Jalal, A. M Al-Sheikh, “ Theoretical high pressure study for thermoelastic properties of NaCl-B1m” Rafidain J Sci 25:80–89, 2014.
  • P. M. Sherwood, “Vibrational spectroscopy of solids, ” Cambridge university press,182(1972).
There are 20 citations in total.

Details

Primary Language English
Subjects Thermodynamics and Statistical Physics
Journal Section Research Articles
Authors

Adnan Alshekh This is me

Sırwan Kareem

Salar Mawllod

Project Number 1
Publication Date March 1, 2022
Published in Issue Year 2022 Volume: 25 Issue: 1

Cite

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 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. March 2022;25(1):10-15. doi:10.5541/ijot.900071
Chicago Alshekh, Adnan, Sırwan Kareem, and Salar Mawllod. “Theoretical High Pressure Study of Phonon Density of State and Debye Temperature of Solid C60: Grüneisen Approximation Approach”. International Journal of Thermodynamics 25, no. 1 (March 2022): 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 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, 2022, doi: 10.5541/ijot.900071.
ISNAD 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 25/1 (March 2022), 10-15. https://doi.org/10.5541/ijot.900071.
JAMA 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, 2022, pp. 10-15, doi:10.5541/ijot.900071.
Vancouver 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):10-5.