On molecular similarity in communication theory of the chemical bond

Journal of Mathematical Chemistry

Volumn 45, Issue 3, 2009, Pages 607-626

  Nalewajski, Roman F ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

Bond covalency ionicity; Chemical bonding; Communication theory; Information theory; Molecular communication systems; Parallel information channels; Sequential information cascades; Similarity of molecules; Theory of chemical bonds

Indexed keywords

EID: 62949127613     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-007-9345-4     Document Type: Article

References (42)

1. R.A. Fisher, Proc. Cambridge Phil. Soc. 22, 700 (1925); see also: B.R. Frieden, Physics from the Fisher Information-A Unification (Cambridge University Press, Cambridge, 2000)
2. C.E. Shannon, Bell System Tech. J. 27, 379, 623 (1948); see also: C.E. Shannon, W. Weaver, The Mathematical Theory of Communication (University of Illinois, Urbana, 1949)
3. S. Kullback, R.A. Leibler, Ann. Math. Stat. 22, 79 (1951); see also: S. Kullback, Information Theory and Statistics (Wiley, New York, 1959)
4. Abramson N. (1963). Information Theory and Coding. McGraw-Hill, New York
5. R.F. Nalewajski, Information Theory of Molecular Systems (Elsevier, Amsterdam, 2006) and refs. therein
6. F.L. Hirshfeld 1977 Theoret. Chim. Acta (Berl.) 44 129
7. R.F. Nalewajski, Int. J. Mol. Sci. 3, 237 (2002); Adv. Quant. Chem. 43, 119 (2003); Chem. Phys. Lett. 372, 28 (2003); 375, 196 (2003)
8. R.F. Nalewajski, R.G. Parr, Proc. Natl. Acad. Sci. USA 97, 8879 (2000); J. Phys. Chem. A 105, 7391 (2001)
9. R.F. Nalewajski R. Loska 2001 Theoret. Chem. Acc. 105 374
10. R.F. Nalewajski, Phys. Chem. Chem. Phys. 4, 1710 (2002); Chem. Phys. Lett. 372, 28 (2003); J. Phys. Chem. A 107, 3792 (2003)
11. R.G. Parr P.W. Ayers R.F. Nalewajski 2005 J. Phys. Chem. A 109 3957
12. R.F. Nalewajski E. Broniatowska 2006 Theor. Chem. Acc. 117 7
13. R.F. Nalewajski, E. Świtka, A. Michalak, Int. J. Quantum Chem. 87, 198 (2002); R.F. Nalewajski, E. Świtka, Phys. Chem. Chem. Phys. 4, 4952 (2002); R.F. Nalewajski, Use of fisher information in quantum chemistry, Int. J. Quantum Chem. (K. Jankowski issue). (in press)
14. R.F. Nalewajski, E. Broniatowska, J. Phys. Chem. A 107, 6270 (2003); Int. J. Quantum Chem. 101, 349 (2005)
15. R.F. Nalewajski A.M. Köster S. Escalante 2005 J. Phys. Chem. A 109 10038
16. R.F. Nalewajski E. Broniatowska 2003 Chem. Phys. Lett. 376 33
17. R.F. Nalewajski, J. Phys. Chem. A 107, 3792 (2003); Ann. Phys. (Leipzig) 13, 201 (2004); Mol. Phys. 104, 255 (2006)
18. R.F. Nalewajski 2000 J. Phys. Chem. A 104 11940
19. R.F. Nalewajski 2004 Mol. Phys. 102 531, 547
20. R.F. Nalewajski 2005 Mol. Phys. 103 451
21. R.F. Nalewajski, Mol. Phys. 104, 365, 493, 1977, 2533 (2006)
22. R.F. Nalewajski 2004 Struct. Chem. 15 391
23. R.F. Nalewajski 2005 J. Math. Chem. 38 43
24. R.F. Nalewajski 2005 Theoret. Chem. Acc. 114 4
25. R.F. Nalewajski, K. Jug, in Reviews of Modern Quantum Chemistry: A Celebration of the Contributions of Robert G. Parr, vol. I, ed. by K.D. Sen (World Scientific, Singapore, 2002), p. 148
26. R.F. Nalewajski 2004 Chem. Phys. Lett. 386 265
27. R.F. Nalewajski 2006 Mol. Phys. 104 2533, 3339
28. R.F. Nalewajski 2007 J. Phys. Chem. A 111 4855
29. R.F. Nalewajski, Entropic bond indices from molecular information channels in orbital resolution: ground-state systems. J. Math. Chem. (in press)
30. R.F. Nalewajski, Chemical bonds through probability scattering: information channels for intermediate-orbital stages. J. Math. Chem. (in press)
31. R.F. Nalewajski, Entropic bond-descriptors of molecular information systems in local resolution. J. Math. Chem. (in press)
32. K.A. Wiberg 1968 Tetrahedron 24 1083
33. M.S. Gopinathan, K. Jug, Theor. Chim. Acta (Berl.) 63, 497, 511 (1983); see also: K. Jug, M.S. Gopinathan, in Theoretical Models of Chemical Bonding, vol. II, ed. by Z.B. Maksić (Springer, Heidelberg, 1990), p. 77
34. I. Mayer 1983 Chem. Phys. Lett. 97 270
35. Nalewajski F. A.M. Köster K. Jug 1993 Theoret. Chim. Acta (Berl.) 85 463
36. R.F. Nalewajski J. Mrozek 1994 Int. J. Quantum Chem. 51 187
37. R.F. Nalewajski S.J. Formosinho A.J.C. Varandas J. Mrozek 1994 Int. J. Quantum Chem. 52 1153
38. R.F. Nalewajski J. Mrozek G. Mazur 1996 Can. J. Chem. 100 1121
39. R.F. Nalewajski J. Mrozek A. Michalak 1997 Int. J. Quantum Chem. 61 589
40. J. Mrozek R.F. Nalewajski A. Michalak 1998 Polish J. Chem. 72 1779
41. W. Heitler, F. London, Z. Physik 44, 455 (1927); for an English translation see: H. Hettema, Quantum Chemistry Classic Scientific Paper (World Scientific, Singapore, 2000); F. London, Z. Phys. 455, 46 (1928)
42. S. Shaik, in New Theoretical Concepts for Understanding Organic Reactions, NATO ASI Series, Vol. C267, ed. by J. Bertran, I.G. Czismadia (Kluwer Academic Publ., Dordrecht, 1989), p. 165; S. Shaik, P.C. Hiberty, Adv. Quant. Chem. 26, 100 (1995); K. Jug, A.M. Köster, J. Am. Chem. Soc. 112, 6772 (1990); S. Shaik, A. Shurki, D. Danovich, P.C. Hiberty, Chem, Rev, 101, 1501 (2001)