Evaluating the nature of chemical bonds based on probabilistic models

International Journal of Modern Physics C

Volumn 18, Issue 11, 2007, Pages 1795-1809

  Mohajeri, A ^a   Dasmeh, P ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

Fuzzy logic; Information theory; Ionicity descriptor; Probability; Shannon entropy

Indexed keywords

EID: 38149037990     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183107011753     Document Type: Article

References (37)

1. L. Pauling, The Nature of Chemical Bonds (Cornell University Press, Ithaca, 1960).
2. F. London, Z. Phys. 46, 455 (1928).
3. N. V. Sidgwick, Some Physical Properties of the Covalent Link in Chemistry (Cornell University Press, Ithaca, 1933).
4. L. Pauling and J. Sherman, J. Am. Chem. Soc. 59, 1450 (1937).
5. J. C. Phillips and J. A. Van Vechten, Phys. Rev. Lett. 22, 705 (1969).
6. J. C. Phillips, Rev. Mod. Phys. 42, 317 (1970).
7. J. C. Phillips, Phys. Rev. 166, 832 (1968).
8. S. G. Louie, J. R. Chelikowsky and M. L. Chohen, Phys. Rev. B 15, 2154 (1977).
9. R. E. Stewart, M. A. Whitehead and G. Donny, Am. Mineralogist 65, 324 (1980).
10. B. F. Levine, J. Chem. Phys. 59, 1463 (1973).
11. S. P. Kowalczyk, L. Ley, F. R. McFeely and D. A. Shirley, J. Chem. Phys. 61, 2850 (1974).
12. J. R. Chelikowsky and J. K. Burdett, Phys. Rev. Lett. 56, 961 (1986).
13. A. Garcia and M. L. Cohen, Phys. Rev. B 47, 4215 (1993).
14. A. Garcia and M. L. Chehen, Phys. Rev. B 47, 4221 (1993).
15. B. Silvi and A. Savin, Nature 371, 683 (1994).
16. R. F. Nalewajski and R. G. Parr, J. Phys. Chem. A 105, 7391 (2001).
17. R. F. Nalewajski and R. G. Parr, Proc. Natl. Acad. Sci. USA 97, 8879 (2000).
18. R. F. Nalewajski, R. G. Parr and R. Loska, Theo. Chem. Acc. 105, 374 (2001).
19. R. F. Nalewajski, J. Phys. Chem. A 104, 11940 (2000).
20. R. F. Nalewajski, E. Switka and A. Michalak, Int. J. Quant. Chem. 87, 198 (2002).
21. R. F. Nalewajski, Mol. Phys. 104, 493 (2006).
22. H. Chernoff and E. L. Lehmann, Ann. Math. Stat. 25, 579 (1954).
23. L. A. Zadeh, Inform. Control 8, 338 (1965).
24. L. A. Zadeh, J. Math. Anal. App. 23, 427 (1968).
25. L. A. Zadeh, Inform. Control 19, 94 (1969).
26. E. H. Mamdani, IEEET Trans. Comput. 26, 1182 (1977).
27. H. J. Zimmermann, Fuzzy Set Theory and its Applications (Kluwer Acadenic Publishers, 1996).
28. C. E. Shannon, Bell System Tech. J. 27, 379 (1958).
29. A. De Luca and S. Termini, Inform. Control 20, 301 (1072).
30. R. R. Yager, Int. J. Gen. Syst. 5, 221 (1979).
31. L. Brillouin, J. App. Phys. 22, 338 (1951).
32. R. T. Yayens, Phys. Rev. 106, 620 (1957).
33. M. Tribus, J. App. Mech. Trans. ASME 28, 1 (1961).
34. R. Onicescu, Acad. Sci. Paris A 263, 25 (1996).
35. M. J. Frisch et al., Gaussian 98, Revision A. 7 (Gaussian, Pittsburgh PA, 1998).
36. A. E. Reed, L. A. Durtiss and F. Weinhold, Chem. Rev. 88, 899 (1988).
37. National Institute Standards and Technology Database, http://www.nist.gov/srd.