Skip to main content

Local Electron Densities and Functional Groups in Quantum Chemistry

  • Chapter
  • First Online:
Correlation and Localization

Part of the book series: Topics in Current Chemistry ((TOPCURRCHEM,volume 203))

Abstract

The connections between the quantum chemical concept of local electron densities and the traditional concept of functional groups of organic chemistry are explored. The Density Domain criterion of functional groups and the Additive Fuzzy Density Fragmentation (AFDF) method are the tools for the construction of representative quantum chemical models for both local electron densities and functional groups. The applications of the method of fuzzy electron density partitioning of molecular electron density clouds to the description of the local fuzzy density contributions of functional groups are explored. The constraints implied by the recently proven “Holographic Electron Density Theorem” are discussed, with special emphasis on the predictability of differences in the activity of functional groups of a given type located within different molecular environments. The special role of symmetry and symmetry deficiency are discussed, and the deviations from local symmetry, as a diagnostic tool for the assessment of the reactivity of functional groups are explored.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hohenberg P, Kohn W (1964) Phys Rev 136:B864

    Article  Google Scholar 

  2. Levy M (1979) Proc Natl Acad Sci USA 76:6062

    Article  CAS  Google Scholar 

  3. Levy M (1979) Bull Amer Phys Soc 24:626

    Google Scholar 

  4. Levy M (1982) Phys Rev A 26:1200

    Article  CAS  Google Scholar 

  5. Levy M (1990) Adv Quant Chem 21:69

    Article  CAS  Google Scholar 

  6. Hegerfeldt GC, Ruijsenaars SNM (1980) Phys Rev D 22:377

    Article  Google Scholar 

  7. Foster JM, Boys SF (1960) Rev Mod Phys 32:300

    Article  CAS  Google Scholar 

  8. Boys SF (1966) In: Löwdin P-O (ed) Quantum Theory of Atoms, Molecules and the Solid-state. Academic Press, New York

    Google Scholar 

  9. Edmiston C, Ruedenberg K (1963) Rev Mod Phys 35:457

    Article  CAS  Google Scholar 

  10. Riess J, Münch W (1981) Theor Chim Acta 58:295

    Article  CAS  Google Scholar 

  11. Pipek J, Mezey PG (1988) Internat J Quantum Chem Symp 22:1

    Article  CAS  Google Scholar 

  12. Pipek J, Mezey PG (1989) J Chem Phys 90:4916

    Article  CAS  Google Scholar 

  13. Schmidt MW (1997) GAMESS Quantum Chemistry Program Package Documentation (ISU Quantum Chemistry Group ISUQCG, Ames Laboratory-USDOE, Iowa State University, IA 50011 USA)

    Google Scholar 

  14. Mezey PG (1994) Canad J Chem 72:928 (Special issue dedicated to Prof J C Polanyi )

    Article  CAS  Google Scholar 

  15. Mezey PG (1996) Functional Groups in Quantum Chemistry. In: Advances in Quantum Chemistry, Vol 27, p 163

    Article  Google Scholar 

  16. Mezey PG (1996) Molecular Similarity Measures of Conformational Changes and Electron Density Deformations. In: Advances in Molecular Similarity, Vol 1, p 89

    CAS  Google Scholar 

  17. Mezey PG (1997) Fuzzy Measures of Molecular Shape and Size. In: Rouvray DH (ed) Fuzzy Logic in Chemistry, Academic Press, San Diego

    Google Scholar 

  18. Mezey PG (1997) Internat Rev Phys Chem 16:361

    Article  CAS  Google Scholar 

  19. Mezey PG (1995) Density Domain Bonding Topology and Molecular Similarity Measures. In: Sen K (ed) Topics in Current Chemistry, Vol 173, Molecular Similarity. Springer-Verlag, Heidelberg, pp 63–83

    Google Scholar 

  20. Mezey PG (1995) J Math Chem 18:141

    Article  CAS  Google Scholar 

  21. Mezey PG (1997) Int J Quantum Chem 63:39

    Article  CAS  Google Scholar 

  22. Walker PD, Mezey PG (1993) J Amer Chem Soc 115:12423

    Article  CAS  Google Scholar 

  23. Walker PD, Mezey PG (1994) J Amer Chem Soc 116:12022

    Article  CAS  Google Scholar 

  24. Mezey PG (1999) Mol. Phys 96:169

    Article  CAS  Google Scholar 

  25. Mezey PG (1998) J Math Chem 23:65

    Article  CAS  Google Scholar 

  26. Mezey PG (to be published).

    Google Scholar 

  27. Luo X, Arteca GA, Zhang C, Mezey PG (1993) J Organometallic Chem 444:131

    Article  CAS  Google Scholar 

  28. Walker PD, Mezey PG, Maggiora GM, Johnson MA, Petke JD (1995) J Comput Chem 16:1474

    Article  CAS  Google Scholar 

  29. Walker PD, Maggiora GM, Johnson MA, Petke JD, Mezey PG (1995) J Chem Inf Comp Sei 35:568

    Article  CAS  Google Scholar 

  30. Mezey PG, Zimpel Z, Warburton P, Walker PD, Irvine DG, Dixon DG, Greenberg B (1996) J Chem Inf Comp Sci 36:602

    Article  CAS  Google Scholar 

  31. Du Q, Arteca GA, Mezey PG (1997) J Comp-Aided Mol Design 11:503

    Article  CAS  Google Scholar 

  32. Mezey PG, Zimpel Z, Warburton P, Walker PD, Irvine DG, Huang X-D, Dixon DG, Greenberg BM (1998) Environ Toxicol Chem 17:1207

    Article  CAS  Google Scholar 

  33. Mezey PG (1998) Molecular Structure-Reactivity-Toxicity Relationships. In: Huang PM (ed) Soil Chemistry and Ecosystem Health. SSSA Publ, Pittsburgh, PA, USA, pp 21–43

    Google Scholar 

  34. Du Q, Mezey PG (1998) J Comp-Aided Mol Design (in press)

    Google Scholar 

  35. Mezey PG (1999) J Chem Inf Comp Sci 39:224

    CAS  Google Scholar 

  36. Mezey PG (1999) Quantitative Shape-Activity Relations (QShAR), Molecular Shape Analysis, Charge Cloud Holography, and Computational Microscopy. In: Walker JD (ed) QSARs in Environmental Toxicology-VIII. QSARs for Predicting Endocrine Disruption, Chemical Persistence and Effects. SETAC Publ (in press)

    Google Scholar 

  37. Walker PD, Mezey PG (1994) Canad J Chem 72:2531

    Article  CAS  Google Scholar 

  38. Walker PD, Mezey PG (1995) J Math Chem 17:203

    Article  CAS  Google Scholar 

  39. Mezey PG, Walker PD (1997) Drug Discovery Today (Elsevier Trend Journal) 2:6

    Google Scholar 

  40. Mezey PG (1993) Shape in Chemistry: An Introduction to Molecular Shape and Topology. VCH Publishers, New York

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Mezey, P.G. (1999). Local Electron Densities and Functional Groups in Quantum Chemistry. In: Surján, P.R., et al. Correlation and Localization. Topics in Current Chemistry, vol 203. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48972-X_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-48972-X_9

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65754-5

  • Online ISBN: 978-3-540-48972-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics