6th International Young Scientist Congress (IYSC-2020) will be Postponed to 8th and 9th May 2021 Due to COVID-19. 10th International Science Congress (ISC-2020).  International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

Hartmann�s equation of state for Materials at Extreme Compression

Author Affiliations

  • 1Department of Applied Sciences, GLNA Institute of Technology, Mathura (U.P.)-281406, INDIA

Res. J. Recent Sci., Volume 1, Issue (ISC-2011), Pages 365-367,(2012)


Hartmann’s equations of state formulated for liquids, polymers and nanomaterials have been demonstrated in the present study to satisfy the thermodynamic constraints at extreme compressions. This reveals the applicability of Hartmann’s equation for materials at very high pressures. We have also derived expressions for the pressure derivatives of bulk modulus up to third order. The expressions thus derived have been verified with the help of identities which are valid at extreme compressions. An application of the Hartmann equation has been presented here to predict the pressure-volume-temperature relationships for NaCl crystal and CaSiO3 perovskite mineral. The results obtained in the present study are found to compare well with the experimental data.


  1. Anderson O.L., Equations of state of solids Geophysicsand Ceramic Sciences, New York Oxford UniversityPress, (1995)
  2. Stacey F.D. and Davis P.M., Phys. Earth Planet. Inter, 142, 137 (2004)
  3. Stacey F.D., Rep. Prog. Phys., 68, 341 (2005)
  4. Shanker J. and Singh B.P., Physica B 370, 78 (2005)
  5. Shanker J., Singh B.P. and Jitendra K., CondensedMatter Physics, 11, 681 (2008)
  6. Shanker J., Singh B. P. and Jitendra K., CondensedMatter Physics, 12, 205 (2009)
  7. Stacey F.D., Rep. Prog. Phys. 73, 046801 (2010)
  8. Hartmann B. and Haque M. A., J. Appl. Phys. 58, 2831(1985)
  9. Hartmann B. and Haque M. A., J. Appl. Polymer Sci.30, 1553 (1985)
  10. Brostow W., Castaņo V.M., Martinez-Barrera G. andPietkiewicz D., Physica B 344, 206 (2004)
  11. Stacey F.D., Phys. Earth Planet. Inter. 89, 219 (1995)
  12. Stacey F.D., Geophys. J. Int.143, 621 (2000)
  13. Shanker J., Dulari P. and Singh P.K., Physica B 404,4083 (2009)
  14. Brostow W., Mater. Res. Innovat. 3, 347 (2000)
  15. Brostow W., Castaņo V.M., Martinez-Barrera G. andSaiter J.M., Physica B 334, 436 (2003)
  16. Wang Y., Weidner D.J. and Guyot F., . Geophys. Res.101, 661 (1996)
  17. Boehler R. and Kennedy G.C., J.Phys. Chem. Solids 41,517 (1980)