Table of Contents
International Journal of Chemical Physics
Volume 2013 (2013), Article ID 728040, 6 pages
http://dx.doi.org/10.1155/2013/728040
Research Article

The Lattice Compatibility Theory: Supports from the Generalized Simha-Somcynsky Chemical Physics-Related Theory

1École Supérieure de Sciences et Techniques de Tunis (ESSTT), Université de Tunis, 63 Rue Sidi Jabeur, 5100 Mahdia, Tunisia
2Department of Agriculture, Forest, Nature and Energy (DAFNE), University of Tuscia, Via S. Camillo de Lellis snc, 01100 Viterbo, Italy
3École Shumen University “Konstantin Preslavsky”, 115 Universitetska Street, 9712 Shumen, Bulgaria

Received 16 May 2013; Accepted 12 July 2013

Academic Editor: Stefan Sokolowski

Copyright © 2013 K. Boubaker et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. F. Freed and M. G. Bawendi, “Lattice theories of polymeric fluids,” Journal of Physical Chemistry, vol. 93, no. 6, pp. 2194–2203, 1989. View at Google Scholar · View at Scopus
  2. G. T. Dee and D. J. Walsh, “Equations of state for polymer liquids,” Macromolecules, vol. 21, no. 3, pp. 811–815, 1988. View at Google Scholar · View at Scopus
  3. G. T. Dee and D. J. Walsh, “A modified cell model equation of state for polymer liquids,” Macromolecules, vol. 21, no. 3, pp. 815–817, 1988. View at Google Scholar · View at Scopus
  4. P. J. Flory, “Thermodynamics of high polymer solutions,” Journal of Chemical Physics, vol. 9, no. 8, pp. 660–661, 1941. View at Google Scholar · View at Scopus
  5. P. J. Flory, “Thermodynamics of high polymer solutions,” Journal of Chemical Physics, vol. 10, article 51, 1941. View at Google Scholar
  6. M. L. Huggins, “Solutions of long chain compounds,” Journal of Chemical Physics, vol. 9, no. 5, p. 440, 1941. View at Google Scholar · View at Scopus
  7. J. E. Lennard-Jones and A. F. Devonshire, “Critical phenomena in gases—II,” Proceedings of the Royal Society of London A, vol. 165, pp. 1–11, 1938. View at Google Scholar
  8. J. E. Lennard-Jones and A. F. Devonshire, “Critical phenomena in gases—I,” Proceedings of the Royal Society of London A, vol. 165, pp. 53–70, 1938. View at Google Scholar
  9. I. Prigogine, N. Trappeniers, and V. Mathot, The Molecular Theory of Solutions, North Holland, Amsterdam, The Netherlands, 1957.
  10. I. Prigogine, N. Trappeniers, and V. Mathot, “Statistical thermodynamics of r-MERS and r-MER solutions,” Discussions of the Faraday Society, vol. 15, pp. 93–107, 1953. View at Publisher · View at Google Scholar · View at Scopus
  11. I. Prigogine, The Molecular Theory of Solutions, North-Holland, Amsterdam, The Netherlands, 1957.
  12. R. Simha and T. Somcynsky, “On the statistical thermodynamics of spherical and chain molecule fluids,” Macromolecules, vol. 2, no. 4, pp. 342–350, 1969. View at Google Scholar · View at Scopus
  13. P. S. Wilson and R. Simha, “Thermal expansion of amorphous polymers at atmospheric pressure—I. Experimental,” Macromolecules, vol. 6, no. 6, pp. 902–908, 1973. View at Google Scholar · View at Scopus
  14. I. C. Sanchez and R. H. Lacombe, “An elementary molecular theory of classical fluids. Pure fluids,” Journal of Physical Chemistry, vol. 80, pp. 2352–2362, 1976. View at Google Scholar
  15. S. S. You, K. P. Yoo, and C. S. Lee, “An approximate nonrandom lattice theory of fluids—general derivation and application to pure fluids,” Fluid Phase Equilibria, vol. 93, pp. 193–213, 1994. View at Google Scholar
  16. R. K. Jain and R. Simha, “Statistical thermodynamics of short chain molecular liquids: n-Nonane,” Journal of Chemical Physics, vol. 70, article 2972, 1979. View at Google Scholar
  17. C. Zhong, W. Wang, and H. Lu, “Open-cell model equation of state for liquids—1. P-V-T behavior for liquids and liquid polymers,” Macromolecules, vol. 27, no. 3, pp. 660–664, 1994. View at Google Scholar · View at Scopus
  18. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, Wiley, New York, NY, USA, 1954.
  19. J. Park and H. Kim, “A new equation of state based on hole theory,” Fluid Phase Equilibria, vol. 144, no. 1-2, pp. 77–86, 1998. View at Google Scholar · View at Scopus
  20. P. Petkova and K. Boubaker, “The Lattice Compatibility Theory (LCT): an attempt to explain Urbach tailing patterns in copper-doped bismuth sillenites (BSO) and germanates (BGO),” Journal of Alloys and Compounds, vol. 546, no. 5, pp. 176–179, 2013. View at Google Scholar
  21. K. Boubaker, “Preludes to the Lattice Compatibility Theory LCT: urbach tailing controversial behavior in some nanocompounds,” ISRN Nanomaterials, vol. 2012, Article ID 173198, 4 pages, 2012. View at Publisher · View at Google Scholar
  22. K. Boubaker, “The lattice compatibility theory: arguments for recorded I-III-O2 ternary oxide ceramics instability at low temperatures beside ternary telluride and sulphide ceramics,” Journal of Ceramics, vol. 2013, Article ID 734015, 6 pages, 2013. View at Publisher · View at Google Scholar
  23. K. Boubaker, M. Amlouk, Y. Louartassi, and H. Labiadh, “About unexpected crystallization behaviors of some ternary oxide and sulfide ceramics within lattice compatibility theory LCT framework,” Journal of the Australian Ceramic Society, vol. 49, no. 1, pp. 115–117, 2013. View at Google Scholar
  24. G. Muncaster, G. Sankar, C. R. A. Catlow, J. M. Thomas, S. J. Coles, and M. Hursthouse, “The local structure of tetrahedral Co(III): a detailed crystal structure investigation of K5CoIIIW12O40·20H2O,” Chemistry of Materials, vol. 12, no. 1, pp. 16–18, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. Q. Z. Huang, V. L. Karen, A. Santoro et al., “Substitution of Co3+ in YBa2Fe3O8,” Journal of Solid State Chemistry, vol. 172, no. 1, pp. 73–80, 2003. View at Publisher · View at Google Scholar · View at Scopus
  26. O. Chmaissem, H. Zheng, A. Huq, P. W. Stephens, and J. F. Mitchell, “Formation of Co3+ octahedra and tetrahedra in YBaCo4O8.1,” Journal of Solid State Chemistry, vol. 181, no. 3, pp. 664–672, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. K. Amine, H. Tukamoto, H. Yasuda, and Y. Fujita, “Preparation and electrochemical investigation of LiMn2-xMexO4 (Me: Ni, Fe, and x = 0.5, 1) cathode materials for secondary lithium batteries,” Journal of Power Sources, vol. 68, no. 2, pp. 604–608, 1997. View at Google Scholar · View at Scopus
  28. K. Amine, H. Tukamoto, H. Yasuda, and Y. Fujita, “A new three-volt spinel Li1+xMn1.5Ni0.5O4 for secondary lithium batteries,” Journal of the Electrochemical Society, vol. 143, no. 5, pp. 1607–1613, 1996. View at Google Scholar · View at Scopus
  29. H. Duncan, Y. Abu-Lebdeh, and I. J. Davidson, “Study of the cathode-electrolyte interface of LiMn1.5 Ni0.5 O4 synthesized by a sol-gel method for li-ion batteries,” Journal of the Electrochemical Society, vol. 157, no. 4, pp. A528–A535, 2010. View at Publisher · View at Google Scholar · View at Scopus
  30. D. Liu, J. Han, and J. B. Goodenough, “Structure, morphology, and cathode performance of Li1-x[Ni0.5Mn1.5]O4 prepared by coprecipitation with oxalic acid,” Journal of Power Sources, vol. 195, no. 9, pp. 2918–2923, 2010. View at Publisher · View at Google Scholar · View at Scopus
  31. R. Santhanam and B. Rambabu, “Research progress in high voltage spinel LiNi0.5Mn1.5O4 material,” Journal of Power Sources, vol. 195, no. 17, pp. 5442–5451, 2010. View at Publisher · View at Google Scholar · View at Scopus
  32. M. Aklalouch, R. M. Rojas, J. M. Rojo, I. Saadoune, and J. M. Amarilla, “The role of particle size on the electrochemical properties at 25 and at 55°C of the LiCr0.2Ni0.4Mn1.4O4 spinel as 5 V-cathode materials for lithium-ion batteries,” Electrochimica Acta, vol. 54, no. 28, pp. 7542–7550, 2009. View at Publisher · View at Google Scholar · View at Scopus
  33. M. Aklalouch, J. M. Amarilla, R. M. Rojas, I. Saadoune, and J. M. Rojo, “Chromium doping as a new approach to improve the cycling performance at high temperature of 5 V LiNi0.5Mn1.5O4-based positive electrode,” Journal of Power Sources, vol. 185, no. 1, pp. 501–511, 2008. View at Publisher · View at Google Scholar · View at Scopus
  34. I. Soibam, S. Phanjoubam, H. N. K. Sarma, and C. Prakash, “Synthesis and characterization of ultra-fine zinc substituted lithium ferrites,” in Proceedings of the AIP Conference, vol. 1003, pp. 136–138, 2008.
  35. I. Soibam, S. Phanjoubam, H. B. Sharma, and H. N. K. Sarma, “Synthesis of lithium zinc ferrite powders by citrate precursor gel formation method,” Indian Journal of Physics, vol. 82, no. 5, pp. 611–614, 2008. View at Google Scholar · View at Scopus
  36. M. Maisnam, S. Phanjoubam, H. N. K. Sarma, C. Prakash, L. Radhapiyari Devi, and O. P. Thakur, “Structural and DC resistivity behaviour of Li-Mn-Ni ferrites substituted with trace amount of Co2+,” Physica B, vol. 370, no. 1–4, pp. 1–5, 2005. View at Publisher · View at Google Scholar · View at Scopus
  37. V. Marinova, “Optical properties of Bi12TiO20 doped with Al, P, Ag, Cu, Co and co-doped with Al+P single crystals,” Optical Materials, vol. 15, no. 2, pp. 149–158, 2000. View at Google Scholar