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.
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REFERENCES
P. M. Zorkii, V. K. Bel′skii, S. G. Lazareva, and M. A. Porai-Koshits. J. Struct. Chem., 1967, 8(2), 267.
P. M. Zorky. J. Mol. Struct., 1996, 374, 9.
K. M. Steed and J. W. Steed. Chem. Rev., 2015, 115, 2895.
A. D. Bond. CrystEngComm, 2008, 10, 411.
B. P. van Eijck and J. Kroon. Acta Crystallogr., Sect. B, 2000, 56, 535.
Y. O. Shablovsky. Mineralogy, 2019, 5, 3.
S. V. Borisov, N. V. Pervukhina, and S. A. Magarill. J. Struct. Chem., 2018, 59(1), 114.
S. V. Krivovichev. Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater., 2016, 72, 274.
Y. L. Slovokhotov. Struct. Chem., 2019, 30, 551.
P. M. Zorkii and P. N. Oleinikov. J. Struct. Chem., 2001, 42(1), 24.
E. Pidcock, W. D. S. Motherwell, and J. C. Cole. Acta Crystallogr., Sect. B: Struct. Sci., 2003, 59, 634.
W. D. S. Motherwell. CrystEngComm, 2017, 19, 6869.
O. V. Grineva. J. Struct. Chem., 2017, 58(2), 373.
Yu. V. Zefirov and P. M. Zorkii. Russ. Chem. Rev., 1995, 64, 415.
A. V. Maleev, A. A. Gevorgyan, and K. A. Potekhin. J. Struct. Chem., 2018, 59(2), 455.
P. M. Zorkii. The Structure of Molecular Crystals. Doctoral (Chem.) Dissertation. Moscow, 1972.
A. M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2009, 64, 80.
E. A. Lord and A. M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2012, 67, 50.
A. M. Banaru and V. R. Shiroky. Cryst. Rep., 2019, 64, 201.
A .M. Banaru. Moscow Univ. Chem. Bull. (Engl. Transl.), 2019, 74, 101.
J. J. McKinnon, A. S. Mitchell, and M. A. Spackman. Chem. – Eur. J., 1998, 4, 2136.
V. A. Blatov. Crystallogr. Rev., 2004, 10, 249.
M. A. Prokaeva, I. A. Baburin, and V. N. Serezhkin. J. Struct. Chem., 2009, 50, 867.
A. Banaru and A. Kochnev. Stud. Univ. Babes-Bolyai, Chem., 2017, 62, 121.
A. M. Banaru and D. M. Gridin. Moscow Univ. Chem. Bull. (Engl. Transl.), 2019, 74, 265.
A. M. Banaru and D. M. Gridin. J. Struct. Chem., 2019, 60(2), 1885.
V. A. Blatov, A. P. Shevchenko, and D. M. Proserpio. Cryst. Growth Des., 2014, 14, 3576.
D. M. Gridin and A. M. Banaru. J. Struct. Chem., 2020, 61(5), 784.
O. Carugo, O. A. Blatova, E. O. Medrish, V. A. Blatov, and D. M. Proserpio. Sci. Rep., 2017, 7, 1.
E. V. Peresypkina and V. A. Blatov. Acta Crystallogr., Sect. B: Struct. Sci., 2000, 56, 1035.
V. N. Serezhkin, A. P. Shevchenko, L. B. Serezhkina, and M. A. Prokaeva. Russ. J. Phys. Chem., 2005, 79, 1070.
M. O′Keeffe, M. A. Peskov, S. J. Ramsden, and O. M. Yaghi. Acc. Chem. Res., 2008, 41, 1782.
C. Bonneau, O. Delgado-Friedrichs, M. O′Keeffe, and O. M. Yaghi. Acta Crystallogr., Sect. A: Found. Crystallogr., 2004, 60, 517.
V. A. Blatov. Acta Crystallogr., Sect. A, 2007, 63, 329.
A. M. Banaru. Crystallogr. Rep., 2019, 64, 847.
C. F. Mackenzie, P. R. Spackman, D. Jayatilaka, and M. A. Spackman. IUCrJ, 2017, 4, 575.
A. J. C. Wilson, V. L. Karen, and A. Mighell. International Tables for Crystallography. 2006. Vol. C, 897.
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.
G. Jany, T. Repo, R. Gustafsson, M. Leskela, M. Polamo, M. Klinga, U. Dietrich, and E. Rieger. Chem. Ber., 1997, 130, 747.
Mathematica 11.0. Wolfram Research, 2016.
The Samara Topological Data Center. https://topcryst.com/.
S.-L. Li, J. Wang, F.-Q. Zhang, and X.-M. Zhang. Cryst. Growth Des., 2017, 17, 746.
T. Haumann, J. Benet-Buchholz, and R. Boese. J. Mol. Struct., 1996, 374, 299.
R. M. Wilson, T. N. Romanova, A. Azadnia, J. A. Krause Bauer, and R. P. Johnson. Tetrahedron Lett., 1994, 35, 5401.
M. Christl, D. Moigno, E.-M. Peters, K. Peters, and H. G. von Schnering. Liebigs Ann., 1997, 1791.
A. D. Payne, B. W. Skelton, A. H. White, and D. Wege. ChemistrySelect, 2016, 1, 5339.
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.
R. Boese, H.-C. Weiss, and D. Bläser. Angew. Chem., Int. Ed., 1999, 38, 988.
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.
W. A. Chalifoux, R. McDonald, M. J. Ferguson, and R. R. Tykwinski. Angew. Chem., Int. Ed., 2009, 48, 7915.
W. Chen, J. Cao, and X. Huang. Org. Lett., 2008, 10, 5537.
R. Bream, D. Watkin, and A. Cowley. Acta Crystallogr., Sect. E, 2006, 62, o1211.
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.
F. R. Ahmed and J. Trotter. Acta Crystallogr., 1963, 16, 503.
G. Ferraris, D. W. Jones, and J. Yerkess. Z. Kristallogr., 1973, 138, 113.
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.
X. Tian, L. M. Roch, K. K. Baldridge, and J. S. Siegel. Eur. J. Org. Chem., 2017, 2017, 2801.
G. J. Piermarini, A. D. Mighell, C. E. Weir, and S. Block. Science, 1969, 165, 1250.
V. I. Ponomarev, O. S. Filipenko, and L. O. Atovmyan. Sov. Phys. Crystallogr., 1976, 21, 215.
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.
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.
C. E. Briant and D. W. Jones. Carcinogenesis, 1984, 5, 363.
P. M. Zorkii and O. N. Zorkaya. J. Struct. Chem., 1998, 39(1), 103.
A. I. Ismiyev, K. A. Potekhin, A. V. Maleev, R. K. Askerov, and A. M. Maharramov. J. Struct. Chem., 2019, 60, 485.
A. I. Ismiev, K. A. Potekhin, A. V. Maleev, and A. M. Maharramov. J. Struct. Chem., 2019, 60(12), 1896.
A. M. Banaru, P. M. Zorkiĭ, and A. E. Obodovskaya. Crystallogr. Rep., 2007, 52, 634.
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.
G. Filippini and A. Gavezzotti. Acta Crystallogr., Sect. B, 1993, 49, 868.
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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
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DOI: https://doi.org/10.1134/S0022476620100017