Skip to main content
SpringerLink
Log in

Statistical theory for hydrogen bonding fluid system of AaDd type (III): Equation of state and fluctuations

  • Research Papers
  • Published:
Science in China Series B: Chemistry Aims and scope Submit manuscript

Abstract

The equation of the state of the hydrogen bonding fluid system of AaDd type is studied by the principle of statistical mechanics. The influences of hydrogen bonds on the equation of state of the system are obtained based on the change in volume due to hydrogen bonds. Moreover, the number density fluctuations of both molecules and hydrogen bonds as well as their spatial correlation property are investigated. Furthermore, an equation describing relation between the number density correlation function of “molecules-hydrogen bonds” and that of molecules and hydrogen bonds is derived. As application, taking the van der Waals hydrogen bonding fluid as an example, we considered the effect of hydrogen bonds on its relevant statistical properties.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dore J C, Teixeira J. Hydrogen-bonded Liquids. Dordrecht: Kulumer Academic Publishers, 1991. 1–81

    Google Scholar 

  2. Stanley H E. Introduction to Phase Transitions and Critical Phenomena. Oxford: Oxford University Press, 1971. 67–106

    Google Scholar 

  3. Hu Y, Liu G J, Xu Y N, et al. Applied Statistical Mechanics. Beijing: Chemical Industry Press, 1990

    Google Scholar 

  4. Prausnitz J M, Lichenthaler R N, Azevedo E G. Molecular Thermodynamics of Fluid Phase Equilibria. 2nd ed. Beijing: Chemical Industry Press, 1990. 302–399

    Google Scholar 

  5. Wang H J. Statistical theory for hydrogen bonding fluid system of AaDd type (I): The geometrical phase transition. Sci China Ser B-Chem, 2006, 49(6): 499–506

    Article  CAS  Google Scholar 

  6. Hoffmann M M, Conradi M S. Are there hydrogen bonds in supercritical water? J Am Chem Soc, 1997, 119: 3811–3817

    Article  CAS  Google Scholar 

  7. Hoffmann M M, Conradi M S. Are there hydrogen bonds in supercritical methanol and ethanol? J Phys Chem, 1998, 102: 263–271

    CAS  Google Scholar 

  8. Schulman E M, Dwyer D W. Doetschman, temperature and pressure dependence of hydrogen bonding in methanol studied by nuclear magnetic resonance. J Phys Chem, 1990, 94: 7308–7312

    Article  CAS  Google Scholar 

  9. Wallen S L, Palmer B J, Garrett B C, et al. Density and temperature effects on the hydrogen bond structure of liquid methanol. J Phys Chem, 1996, 100: 3959–3964

    Article  CAS  Google Scholar 

  10. Walrafen G E, Fisher M R, Hokmabadi M S, et al. Temperature dependence of the low-and high-frequency Raman scattering from liquid water. J Chem Phys, 1986, 85: 6970–6982

    Article  CAS  Google Scholar 

  11. Coleman M M, Painter P C. Hydrogen bonded polymer blends. Prog Polym Sci, 1995, 20: 1–59

    Article  CAS  Google Scholar 

  12. Veytsman B A. Equation of state for hydrogen-bonded systems. J Phys Chem, 1998, 102: 7515–7517

    CAS  Google Scholar 

  13. Veytsman B A, Gupta R B. Fluctuation theory of hydrogen bonding in near-critical fluids. AIChE J, 1996, 42: 2661–2667

    Article  CAS  Google Scholar 

  14. Kirkwood J G, Buff F P. The statical mechanical theory of solutions. J Chem Phys, 1951, 19: 774–777

    Article  CAS  Google Scholar 

  15. Luck W A P. The importance of cooperativity for the properties of liquid warer. J Mol Struct, 1998, 448: 131–142

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Chemistry and Environment Science, Hebei University, Baoding, 071002, China

    Wang HaiJun, Gu Fang & Ba XinWu

  2. International Center for Materials Physics, Chinese Academy of Sciences, Shenyang, 110016, China

    Wang HaiJun

  3. College of Physics Science and Technology, Hebei University, Baoding, 071002, China

    Hong XiaoZhong

Authors
  1. Wang HaiJun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gu Fang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hong XiaoZhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ba XinWu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wang HaiJun.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 20303006 and 20574016), the Natural Science Foundation of Hebei Province (Grant Nos. B2006000959 and B2004000093) and the Natural Science Foundation of Education Committee of Hebei Province (Grant No. 2003101)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, H., Gu, F., Hong, X. et al. Statistical theory for hydrogen bonding fluid system of AaDd type (III): Equation of state and fluctuations. SCI CHINA SER B 50, 183–189 (2007). https://doi.org/10.1007/s11426-007-2035-z

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11426-007-2035-z

Keywords

Search

Navigation