Skip to main content
Log in

ZORKII STRUCTURAL CLASSES AND CRITICAL TOPOLOGY OF MOLECULAR CRYSTALS

  • Published:
Journal of Structural Chemistry Aims and scope Submit manuscript

Abstract

A net of intermolecular contacts in organic crystals contains a finite number of strong contacts sufficient for the net formation. These contacts constitute a subnet referred to as the critical net. Critical nets of 1754 crystalline hydrocarbons in six most common structural classes (supergiants) are studied. Coordination numbers and the critical net topology are analyzed, the predominant topological types (dia, pcu, hex, bnn, etc.) are revealed. The critical net is found to be quite economical in 95% cases and containing n + Δ (Δ = 0-2) symmetrically independent contacts, where n is their minimal possible number.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

REFERENCES

  1. P. M. Zorkii, V. K. Bel′skii, S. G. Lazareva, and M. A. Porai-Koshits. J. Struct. Chem., 1967, 8(2), 267.

  2. P. M. Zorky. J. Mol. Struct., 1996, 374, 9.

  3. K. M. Steed and J. W. Steed. Chem. Rev., 2015, 115, 2895.

  4. A. D. Bond. CrystEngComm, 2008, 10, 411.

  5. B. P. van Eijck and J. Kroon. Acta Crystallogr., Sect. B, 2000, 56, 535.

  6. Y. O. Shablovsky. Mineralogy, 2019, 5, 3.

  7. S. V. Borisov, N. V. Pervukhina, and S. A. Magarill. J. Struct. Chem., 2018, 59(1), 114.

  8. S. V. Krivovichev. Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater., 2016, 72, 274.

  9. Y. L. Slovokhotov. Struct. Chem., 2019, 30, 551.

  10. P. M. Zorkii and P. N. Oleinikov. J. Struct. Chem., 2001, 42(1), 24.

  11. E. Pidcock, W. D. S. Motherwell, and J. C. Cole. Acta Crystallogr., Sect. B: Struct. Sci., 2003, 59, 634.

  12. W. D. S. Motherwell. CrystEngComm, 2017, 19, 6869.

  13. O. V. Grineva. J. Struct. Chem., 2017, 58(2), 373.

  14. Yu. V. Zefirov and P. M. Zorkii. Russ. Chem. Rev., 1995, 64, 415.

  15. A. V. Maleev, A. A. Gevorgyan, and K. A. Potekhin. J. Struct. Chem., 2018, 59(2), 455.

  16. P. M. Zorkii. The Structure of Molecular Crystals. Doctoral (Chem.) Dissertation. Moscow, 1972.

  17. A. M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2009, 64, 80.

  18. E. A. Lord and A. M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2012, 67, 50.

  19. A. M. Banaru and V. R. Shiroky. Cryst. Rep., 2019, 64, 201.

  20. A .M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2019, 74, 101.

  21. J. J. McKinnon, A. S. Mitchell, and M. A. Spackman. Chem. – Eur. J., 1998, 4, 2136.

  22. V. A. Blatov. Crystallogr. Rev., 2004, 10, 249.

  23. M. A. Prokaeva, I. A. Baburin, and V. N. Serezhkin. J. Struct. Chem., 2009, 50, 867.

  24. A. Banaru and A. Kochnev. Stud. Univ. Babes-Bolyai, Chem., 2017, 62, 121.

  25. A. M. Banaru and D. M. Gridin. Moscow Univ. Chem. Bull. (Engl. Transl.), 2019, 74, 265.

  26. A. M. Banaru and D. M. Gridin. J. Struct. Chem., 2019, 60(2), 1885.

  27. V. A. Blatov, A. P. Shevchenko, and D. M. Proserpio. Cryst. Growth Des., 2014, 14, 3576.

  28. D. M. Gridin and A. M. Banaru. J. Struct. Chem., 2020, 61(5), 784.

  29. O. Carugo, O. A. Blatova, E. O. Medrish, V. A. Blatov, and D. M. Proserpio. Sci. Rep., 2017, 7, 1.

  30. E. V. Peresypkina and V. A. Blatov. Acta Crystallogr., Sect. B: Struct. Sci., 2000, 56, 1035.

  31. V. N. Serezhkin, A. P. Shevchenko, L. B. Serezhkina, and M. A. Prokaeva. Russ. J. Phys. Chem., 2005, 79, 1070.

  32. M. O′Keeffe, M. A. Peskov, S. J. Ramsden, and O. M. Yaghi. Acc. Chem. Res., 2008, 41, 1782.

  33. C. Bonneau, O. Delgado-Friedrichs, M. O′Keeffe, and O. M. Yaghi. Acta Crystallogr., Sect. A: Found. Crystallogr., 2004, 60, 517.

  34. V. A. Blatov. Acta Crystallogr., Sect. A, 2007, 63, 329.

  35. A. M. Banaru. Crystallogr. Rep., 2019, 64, 847.

  36. C. F. Mackenzie, P. R. Spackman, D. Jayatilaka, and M. A. Spackman. IUCrJ, 2017, 4, 575.

  37. A. J. C. Wilson, V. L. Karen, and A. Mighell. International Tables for Crystallography. 2006. Vol. C, 897.

  38. C. R. Groom, I. J. Bruno, M. P. Lightfoot, and S. C. Ward. Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater., 2016, 72, 171.

  39. G. Jany, T. Repo, R. Gustafsson, M. Leskela, M. Polamo, M. Klinga, U. Dietrich, and E. Rieger. Chem. Ber., 1997, 130, 747.

  40. Mathematica 11.0. Wolfram Research, 2016.

  41. The Samara Topological Data Center. https://topcryst.com/.

  42. S.-L. Li, J. Wang, F.-Q. Zhang, and X.-M. Zhang. Cryst. Growth Des., 2017, 17, 746.

  43. T. Haumann, J. Benet-Buchholz, and R. Boese. J. Mol. Struct., 1996, 374, 299.

  44. R. M. Wilson, T. N. Romanova, A. Azadnia, J. A. Krause Bauer, and R. P. Johnson. Tetrahedron Lett., 1994, 35, 5401.

  45. M. Christl, D. Moigno, E.-M. Peters, K. Peters, and H. G. von Schnering. Liebigs Ann., 1997, 1791.

  46. A. D. Payne, B. W. Skelton, A. H. White, and D. Wege. ChemistrySelect, 2016, 1, 5339.

  47. C. Karafilidis, H. Hermann, A. Rufiñska, B. Gabor, R. J. Mynott, G. Breitenbruch, C. Weidenthaler, J. Rust, W. Joppek, M. S. Brookhart, W. Thiel, and G. Fink. Angew. Chem., Int. Ed., 2004, 43, 2444.

  48. R. Boese, H.-C. Weiss, and D. Bläser. Angew. Chem., Int. Ed., 1999, 38, 988.

  49. K. K. Baldridge, B. Biggs, R. D. Gilbertson, M. M. Haley, D. Blaser, R. Boese, A. H. Maulitz, and J. S. Siegel. Chem. Commun., 1998, 1137.

  50. W. A. Chalifoux, R. McDonald, M. J. Ferguson, and R. R. Tykwinski. Angew. Chem., Int. Ed., 2009, 48, 7915.

  51. W. Chen, J. Cao, and X. Huang. Org. Lett., 2008, 10, 5537.

  52. R. Bream, D. Watkin, and A. Cowley. Acta Crystallogr., Sect. E, 2006, 62, o1211.

  53. V. A. Blatov and D. M. Proserpio. “Periodic-Graph Approaches in Crystal Structure Prediction”. In: Modern Methods of Crystal Structure Prediction. Wiley Online Books, 2010.

  54. F. R. Ahmed and J. Trotter. Acta Crystallogr., 1963, 16, 503.

  55. G. Ferraris, D. W. Jones, and J. Yerkess. Z. Kristallogr., 1973, 138, 113.

  56. J. C. Collings, K. P. Roscoe, R. L. Thomas, A. S. Batsanov, L. M. Stimson, J. A. K. Howard, and T. B. Marder. New J. Chem., 2001, 25, 1410.

  57. X. Tian, L. M. Roch, K. K. Baldridge, and J. S. Siegel. Eur. J. Org. Chem., 2017, 2017, 2801.

  58. G. J. Piermarini, A. D. Mighell, C. E. Weir, and S. Block. Science, 1969, 165, 1250.

  59. V. I. Ponomarev, O. S. Filipenko, and L. O. Atovmyan. Sov. Phys. Crystallogr., 1976, 21, 215.

  60. J. Marciniak, J. Bąkowicz, M. A. Dobrowolski, K. F. Dziubek, M. Kazmierczak, D. Paliwoda, K. W. Rajewski, S. Sobczak, M. Stachowicz, and A. Katrusiak. Cryst. Growth Des., 2016, 16, 1435.

  61. A. de Meijere, S. I. Kozhushkov, R. Boese, T. Haumann, D. S. Yufit, J. A. K. Howard, L. S. Khaikin, and M. Traetteberg. Eur. J. Org. Chem., 2002, 2002, 485.

  62. C. E. Briant and D. W. Jones. Carcinogenesis, 1984, 5, 363.

  63. P. M. Zorkii and O. N. Zorkaya. J. Struct. Chem., 1998, 39(1), 103.

  64. A. I. Ismiyev, K. A. Potekhin, A. V. Maleev, R. K. Askerov, and A. M. Maharramov. J. Struct. Chem., 2019, 60, 485.

  65. A. I. Ismiev, K. A. Potekhin, A. V. Maleev, and A. M. Maharramov. J. Struct. Chem., 2019, 60(12), 1896.

  66. A. M. Banaru, P. M. Zorkiĭ, and A. E. Obodovskaya. Crystallogr. Rep., 2007, 52, 634.

  67. R. L. Halterman, D. R. Fahey, E. F. Bailly, D. W. Dockter, O. Stenzel, J. L. Shipman, M. A. Khan, S. Dechert, and H. Schumann. Organometallics, 2000, 19, 5464.

  68. G. Filippini and A. Gavezzotti. Acta Crystallogr., Sect. B, 1993, 49, 868.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. M. Banaru.

Ethics declarations

The authors declare that they have no conflict of interests.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Banaru, A.M., Banaru, D.A. ZORKII STRUCTURAL CLASSES AND CRITICAL TOPOLOGY OF MOLECULAR CRYSTALS. J Struct Chem 61, 1485–1502 (2020). https://doi.org/10.1134/S0022476620100017

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0022476620100017

Keywords

Navigation