Skip to main content
Log in

Determination of the Temperature Dependence of Heat Capacity for Some Molecular Crystals of Nitro Compounds

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

An analysis of the existing approximations used for describing the dependence of heat capacity at a constant volume on the temperature of a molecular crystal has been carried out. It is shown that the considered Debye and Einstein approximations do not enable one to adequately describe the dependence of heat capacity at a constant volume on the temperature of the molecular crystals of nitro compounds. This inference requires the development of special approximations that would describe both low-frequency and high-frequency parts of the vibrational spectra of molecular crystals. This work presents a universal dependence allowing one to describe the dependence of heat capacity at a constant volume on temperature for a number of molecular crystals of nitro compounds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. N. Zharkov and V. A. Kalinin, Equations of State at High Temperatures and Pressures [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  2. Yu. M. Kovalev, Equations of state and of the temperature of shock compression of crystalline explosives, Fiz. Goreniya Vzryva, 20, No. 2, 102–107 (1984).

  3. Yu. M. Kovalev, Mathematical simulation of the thermal component of the equation of state of molecular crystals, Vestn. Yuzhno-Uralsk. Gos. Univ., 6, No. 1, 34−42 (2013).

    MATH  Google Scholar 

  4. V. F. Kuropatenko, Models of the Continuous Medium Mechanics [in Russian], Izd. Chelyabinsk. Gos. Univ., Chelyabinsk (2007).

    Google Scholar 

  5. V. F. Kuropatenko, Equations of state in mathematical models of the mechanics and physics, Mat. Modelir., 4, No. 12, 112−136 (1992).

    Google Scholar 

  6. D. Stall, E. Westram, and G. Zinke, The Chemical Thermophysics of Organic Compounds [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  7. N. B. Vargaftik, Handbook of Thermotechnical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  8. Tsyan Sye-sen, Physical Mechanics [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  9. V. G. Shchetinin, Calculation of the heat capacity of organic substances in shock and detonation waves, Khim. Fiz., 18, No. 5, 90–95 (1999).

    Google Scholar 

  10. B. M. Dobrats and P. C. Crawford, LLNL Explosives Handbook. Properties of Chemical Explosives and Explosive Simulants, University of California, Livermore, California (1985).

  11. T. R. Gibbs and A. Popolato, Last Explosive Property Data. Los Alamos Series on Dynamic Material Properties, University of California Press, Berkeley−Los Angeles−London (1980).

  12. L. A. Girifalco, Statistical Physics of the Solid [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  13. A. I. Kitaigorodskii, Molecular Crystals [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  14. Yu. M. Kovalev and A. V. Belik, Determination of the thermal component of the equation of state of molecular crystals, Chelyabinsk. Fiz.-Mat. Zh., No. 9 (300), 5−10 (2013).

  15. T. Clark, Handbook of Computational Chemistry [Russian translation], Mir, Moscow (1990).

    Google Scholar 

  16. N. F. Stepanov and Yu. V. Novakovskaya, Quantum chemistry today, Ross. Khim. Zh., LI, No. 5, 5–17 (2007).

  17. P. J. Miller, S. Block, and G. J. Piermarini, Effect of pressure on the vibration spectra of liquid nitromethane. J. Phys. Chem., 93, 462–466 (1989).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. M. Kovalev.

Additional information

V. F. Kuropatenko is deceased.

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 2, pp. 297–306, March–April, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kovalev, Y.M., Kuropatenko, V.F. Determination of the Temperature Dependence of Heat Capacity for Some Molecular Crystals of Nitro Compounds. J Eng Phys Thermophy 91, 278–287 (2018). https://doi.org/10.1007/s10891-018-1747-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-018-1747-6

Keywords

Navigation