Abstract
A new qualitative approach for analysis of organic molecules geometry, which can be considered as a development of known VSEPR concept is suggested. The core of the approach is electrostatic model, based on the division of the total electron density into an isotropic component which after summation with the nuclear charges turn them into point positive charges (PPCs), and an anisotropic component, tied to the local electron densities (LEDs) of chemical bonds and lone pairs of electrons (LPs). Electrostatic forces (ESFs) affecting the LEDs and PPCs in typical tetrahedral molecular fragments with central carbon atom or heteroatom are considered in detail. The procedure of conditional fixation of PPCs followed by evaluation of perturbing electrostatic forces arising in passing from a particular molecule, or molecular conformation, to another one is applied. Using the existing experimental and ab initio calculation data the model capabilities are demonstrated for typical organic molecules consisting of Н, С, N, O, F, Si, S and Cl atoms.
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Abbreviations
- ED:
-
electron density
- EN:
-
electronegativity
- ESF:
-
electrostatic force
- S-ESF:
-
short-range ESF
- M-ESF:
-
middle-range ESF
- L-ESF:
-
long-range ESF
- FM:
-
fixed molecule
- IM:
-
idealized molecule
- LED:
-
local electron density
- LP:
-
lone pair of electrons
- MEI direction:
-
direction of the most effective interaction
- MW:
-
microwave spectroscopy
- PPC:
-
point positive charge
References
Parr, R.G., Ayers, P.W., and Nalewajski, R.F., J. Phys. Chem. A, 2005, vol. 109, p. 3957.
Lewis, G.N., J. Am. Chem. Soc., 1916, vol. 38, p. 762.
Popelier, P.L.A. and Gillespie, R.J., Chemical Bonding and Molecular Geometry from Lewis to Electron Densities, Oxford: Oxford Univ. Press, 2001.
Brown, I.D., Chem. Rev., 2009, vol. 109, p. 6858.
Streitwieser, A., Molecular orbital theory for organic chemists, in Pioneers of Quantum Chemistry, Washington, DC: Am. Chem. Soc., 2013, vol. 1122, ch. 9, p. 275.
Bader, R.F.W., Atoms in Molecules: A Quantum Theory, Oxford: Clarendon, 1994.
Causá, M., Savin, A., and Silvi, B., Found. Chem., 2014, vol. 16, p. 3.
Lüchow, A.J., Comput. Chem., 2014, vol. 35, p. 854.
Ayers, P.L., Boyd, R.J., Bultinck, P., Caffarel, M., Carbó-Dorca, R., Causá, M., Cioslowski, J., Contreras-Garcia, J., Cooper, D.L., and Coppens, P., Gatti C., Grabowsky, S., Lazzeretti, P., Macchi, P., Pendás, A.M., Popelier, P.L.A., Ruedenberg, K., Rzepa, H., Savin, A., Sax, A., Schwarz, W.H.E., Shahbazian, S., Silvi, B., Solá, M., and Tsirelson, V., Comput. Theor. Chem., 2015, vol. 1053, p. 2.
Feynman, R.P., Phys. Rev., 1939, vol. 56, p. 340.
Hernández-Trujillo, J., Cortés-Guzmán, F., Fang, D.C., and Bader, R.F.W., Faraday Discuss., 2, vol. 135, p. 79.
Martín-Pendás, A., and Hernández-Trujillo, J., J. Chem. Phys., 2012, vol. 137, 134101.
Maza, J.R., Jenkins, S., Kirk, S.R.M., Anderson, J.S., and Ayers, P.W., Phys. Chem. Chem. Phys., 2013, vol. 15, p. 17823.
Nakatsuji, H., J. Am. Chem. Soc., 1973, vol. 95, p. 345.
Bader, R.F.W., J. Phys. Chem. A, 2010, vol. 114, p. 7431.
Bader, R.F.W., Beddall, P.M., and Peslak, J., J. Chem. Phys., 1973, vol. 58, p. 557.
Hirshfeld, F.L., Theor. Chim. Acta, 1997, vol. 44, p. 129.
Bader, R.F.W., J. Mol. Struct: THEOCHEM, 2010, vol. 943, p. 2.
Bader, R.F.W. and Essen, H., J. Chem. Phys., 1984, vol. 80, p. 1943.
Becke, A.D. and Edgecombe, K.E., J. Chem. Phys., 1990, vol. 92, p. 5397.
Scemama, A., Chaquin, P., and Caffarel, M., J. Chem. Phys., 2004, vol. 121, p. 1725.
Coppens, P., X-Ray Charge Densities and Chemical Bonding, Oxford: Oxford Univ. Press, 1997.
Menéndez, M., Pendás, A.M., Braïda, B., and Savin, A., Comput. Theor. Chem., 2014, vol. 1053, p. 142.
Lüchow, A. and Petz, R., J. Comput. Chem., 2011, vol. 32, p. 2619.
Nalewajski, R.F. and Gurdek, P., Struct. Chem., 2012, vol. 23, p. 1383.
Mondal, S. and Prathapa, S.J., and Van Smaalen, S., Acta Crystallogr., Sect. A: Found. Crystallogr., 2012, vol. 68, p. 568.
Macchi, P., Crystallogr. Rev., 2013, vol. 19, p. 58.
Guo, C.-S., Van-Hove, M.A., Zhang, R.-Q., and Minot, C., Langmuir, 2010, vol. 26, p. 16271.
Gatti, C. and Macchi, P., Modern Charge Density Analysis, Berlin: Springer, 2012.
Sanderson, R.T., J. Am. Chem. Soc., 1983, vol. 105, p. 2259.
Parr, R.G. and Pearson, R.G., J. Am. Chem. Soc., 1983, vol. 105, p. 7512.
Comba, P. and Boeyens, J.C., A. Struct. Bonding (Berlinm, Ger.), 2013, vol. 148, p. 137.
Murry, J.E. and Lectka, T., Acc. Chem. Res., 1992, vol. 25, p. 47.
Castillo, N. and Boyd, R.J., Chem. Phys. Lett., 2005, vol. 403, p. 47.
Prathapa, S.J., Held, J., and Van Smaalen, S., Z. Anorg. Allg. Chem., 2013, vol. 639, p. 2047.
Ruedenberg, K. and Schwarz, W.H.E., J. Chem. Phys., 1990, vol. 92, p. 4956.
Zheng, S.J., Hada, M., and Nakatsuji, H., Theor. Chim. Acta, 1996, vol. 93, p. 67.
Lobayan, R.M. and Bochicchio, R.C., Lain, L., and Torre, A., J. Phys. Chem. A, 2007, vol. 111, p. 3166.
Mikosch, J., Trippel, S., Eichhorn, C., Otto, R., Lourderaj, U., Zhang, J.X., Hase, W.L., Weidemüller, M., and Wester, R., Science, 2008, vol. 319, p. 183.
Roy, D.K., Balanarayan, P., and Gadre, S.R., J. Chem. Sci., 2009, vol. 121, p. 815.
Deslongchamps, G. and Deslongchamps, P., Org. Biomol. Chem., 2011, vol. 9, p. 5321.
Bonaccorsi, R., Scrocco, E., and Tomasi, J., J. Chem. Phys., 1970, vol. 52, p. 5270.
Pathak, R.K. and Gadre, S.R., J. Chem. Phys., 1990, vol. 93, p. 1770.
Kumar, A. and Gadre, S.R., J. Chem. Theory Comput., 2016, vol. 12, no. 4, p. 1705. doi 10.1021/acs.jctc.6b00073
Polo, V., Andres, J., Berski, S., Domingo, L.R., and Silvi, B., J. Phys. Chem. A, 2008, vol. 112, p. 7128.
Earnshow, S., Trans. Cambridge Philos. Soc., 1842, vol. 7, p. 97.
Gillespie, R.J. and Robinson, E., Angew. Chem., Int. Ed. Engl., 1996, vol. 35, p. 495.
Cortés-Guzmán, F., Cuevas, G., Maríın-Pendás, A., and Hernández-Trujillo, J., Phys. Chem. Chem. Phys., 2015, vol. 17, p. 19021.
Bader, R.F.W., Coord. Chem. Rev., 2000, vol. 197, p. 71.
Scheiner, S., J. Chem. Phys., 2011, vol. 134, 164313.
Duarte, D.J.R., Angelina, E.L., and Peruchena, N.M., Comput. Theor. Chem., 2012, vol. 998, p. 164.
Liebschner, D., Jelsch, C., Espinosa, E., Lecomte, C., and Chabriere, E., and Guillot, B., J. Phys. Chem. A, 2011, vol. 115, p. 12895.
Mani, D. and Arunan, E., Phys. Chem. Chem. Phys., 2013, vol. 15, p. 14377.
Li, Q.-Z., Zhuo, H.-Y., Li, H.-B., Liu, Z-B., Li, W.-Z., and Cheng, J.-B., J. Phys. Chem. A, 2015, vol. 119, p. 2217.
Goodman, L., Pophristic, V., and Weinhold, F., Acc. Chem. Res., 1999, vol. 12, p. 983.
Parra, R.D. and Zeng, X.C., J. Phys. Chem. A, 1998, vol. 102, p. 654.
Onda, M., Tsuda, K., and Kimura, T., J. Mol. Struct., 2005, vol. 733, p. 1.
Gallaher, K.L., Yokozeki, A., and Bauer, S.H., J. Phys. Chem., 1974, vol. 78, p. 2389.
Shia, J., Hea, J., and Wang, H.-J., J. Phys. Org. Chem., 2011, vol. 24, p. 65.
Demaison, J., Breidung, J., Thiel, W., and Papousek, D., Struct. Chem., 1999, vol. 10, p. 129.
Allen, M.D., Pesch, T.C., Robinson, J.S., Apponi, A.J., Grotjahn, D.B., and Ziurys, L.M., Chem. Phys. Lett., 1998, vol. 293, p. 397.
Suresh, C.H. and Koga, N., J. Am. Chem. Soc., 2012, vol. 124, p. 1790.
Gray, D.L. and Robiette, A.G., Mol. Phys., 1979, vol. 37, p. 1901.
Duncan, J.L., McKean, D.C., and Bruce, A.J., J. Mol. Spectrosc., 1979, vol. 74, p. 361.
Urban, J., Schreiner, P.R., Vacek, G., Schleyer, P.R., Huang, J.Q., and Leszczynski, J., Chem. Phys. Lett., 1997, vol. 264, p. 441.
Dixon, R.W. and Kollman, P.A., J. Comput. Chem., 1997, vol. 18, p. 1632.
Graczyk, P.P. and Mikolajczyk, M., in Anomeric Effect: Origin and Consequences, New York: Wiley, 1994, vol. 21, p. 159.
Kumar, A., Gadre, S.R., Mohan, N., and Suresh, C.H., J. Phys. Chem. A, 2014, vol. 118, p. 526.
Hayashi, M. and Kato, H., Bull. Chem. Soc. Jpn., 1980, vol. 53, p. 2701.
Niide, Y. and Hayashi, M., J. Mol. Spectrosc., 2003, vol. 220, p. 65.
Tsuchida, E., Kanada, Y., and Tsukada, M., Chem. Phys. Lett., 1999, vol. 311, p. 236.
Takagi, K. and Kojima, T., J. Phys. Soc. Jpn., 1971, vol. 30, p. 1145.
Mack, H.-G., Christen, D., and Oberhamer, H., J. Mol. Struct., 1988, vol. 190, p. 215.
Duarte, D.J.R., Angelina, E.L., and Peruchena, N.M., Comput. Theor. Chem., 2012, vol. 998, p. 164.
Novakovskaya, Y.V., Struct. Chem., 2012, vol. 23, p. 1253.
Khursana, S.L. and Antonovsky, V.L., Russ. Chem. Bull., 2003, vol. 52, p. 1312.
Hagen, K., Hedberg, K., John, E.O., Kirchmeier, R.L., and Shreeve, J.M., J. Phys. Chem. A, 1998, vol. 102, p. 5106.
Durig, J.R., Ng, K.W., Zheng, C., and Shen, S., Struct. Chem., 2004, vol. 15, p. 149.
Neugebauer, A. and Hafelinger, G., J. Mol. Struct.: THEOCHEM, 2002, vol. 578, p. 229.
Tam, H.S., Choe, J.I., and Harmony, M.D., J. Phys. Chem., 1991, vol. 95, p. 9267.
Harmony, M.D., J. Chem. Phys., 1990, vol. 93, p. 7522.
Flood, E., Pulay, P., and Boggs, J.E., J. Am. Chem. Soc., 1997, vol. 99, p. 5570.
Lide, D.R., J. Chem. Phys., 1960, vol. 33, p. 1514.
Herrebout, W.A., Van der Veken, B.J., Wang, A., and Durig, J.R., J. Phys. Chem., 1995, vol. 99, p. 578.
Antolínez, S., López, J.C., and Alonso, J.L., J. Chem. Soc., Faraday Trans., 1997, vol. 93, p. 1291.
Lide, D.R., J. Chem. Phys., 1960, vol. 33, p. 1519.
Hilderbrandt, R.L. and Wieser, J.D., J. Mol. Struct., 1973, vol. 15, p. 27.
McKean, D.C., Spectrochim. Acta, Part A, 1999, vol. 55, p. 1485.
Niide, Y. and Hayashi, M., J. Mol. Spectrosc., 2002, vol. 216, p. 52.
Pierce, L. and Kilb, R.W., J. Chem. Phys., 1957, vol. 27, p. 108.
Niide, Y. and Hayashi, M., J. Mol. Spectrosc., 2003, vol. 220, p. 65.
McKean, D.C. and Torto, I., J. Mol. Spectrosc., 2002, vol. 216, p. 363.
McKean, D.C., J. Phys. Chem. A, 2004, vol. 108, p. 4744.
Demaison, J., Csaszar, A.G., Kleiner, I., and Mollendal, H., J. Phys. Chem. A, 2007, vol. 111, p. 2574.
McKean, D.C., J. Chem. Phys., 1983, vol. 79, p. 2095.
Wollrab, J.E. and Laurie, V.W., J. Chem. Phys., 1968, vol. 48, p. 5058.
Skaarup, S., Griffin, L.L., and Boggs, J.E., J. Am. Chem. Soc., 1976, vol. 98, p. 3140.
Florian, J., Leszczynsky, J., Johnson, B.G., and Goodman, L., Mol. Phys., 1997, vol. 91, p. 439.
Harmony, M.D., Laurie, V.W., Kuczkowski, R.L., Schwendeman, R.H., Ramsay, D.A., Lovas, F.J., Lafferty, W.J., and Maki, A.G., J. Phys. Chem. Ref. Data, 1979, vol. 8, p. 619.
Demaison, J., Herman, M., and Lievin, J., Int. Rev. Phys. Chem., 2007, vol. 26, p. 391.
Culot, J.P., in Proc. Fourth Austin Symposium on Gas Phase Molecular Structure, Austin: Univ. Texas, 1972, paper T8.
Durig, J.R., Deeb, H., Darkhalil, I.D., Klaassen, J.J., Gounev, T.K., and Ganguly, A., J. Mol. Struct., 2011, vol. 985, p. 202.
Adachi, M., Nakagawa, J., and Hayashi, M., J. Mol. Spectrosc., 1982, vol. 91, p. 381.
Oberhammer, H. and Boggs, J.E., J. Am. Chem. Soc., 1980, vol. 102, p. 7241.
Gillespie, R.J. and Johnson, S.A., Inorg. Chem., 1997, vol. 36, p. 3031.
Talaty, E.R., Schwartz, A.K., and Simons, G., J. Am. Chem. Soc., 1975, vol. 97, p. 972.
Hayashi, M. and Kuwada, K., J. Mol. Struct., 1975, vol. 28, p. 147.
Suenram, R.D., Lovas, F.J., Pereyra, W., and Fraser, G.T., Hight, and Walker, A.R., J. Mol. Spectrosc., 1997, vol. 181, p. 67.
Hirota, E., Endo, Y., Saito, S., and Duncan, J.L., J. Mol. Spectrosc., 1981, vol. 89, p. 285.
Fodi, B., McKean, D.C., and Palmer, M.H., J. Mol. Struct.: THEOCHEM, 2000, vol. 500, p. 195.
Nygaard, L., Spectrochim. Acta, 1966, vol. 22, p. 1261.
McKean, D.C., J. Mol. Struct., 2002, vol. 642, p. 25.
Hayashi, M., Fujitake, M., Inagusa, T., and Miyazaki, S., J. Mol. Struct., 1990, vol. 216, p. 9.
Shiki, Y., Oyamada, M., and Hayashi, M., J. Mol. Spectrosc., 1982, vol. 92, p. 375.
Palmer, M.H., J. Mol. Struct.: THEOCHEM, 2000, vol. 500, p. 225.
Papasavva, S., Illinger, K.H., and Kenny, J.E., J. Mol. Struct.: THEOCHEM, 1997, vol. 393, p. 73.
Graner, G., Hirota, E., Iijima, T., Kuchitsu, K., Ramsay, D.A., Vogt, J., and Vogt, N., in The Landolt-Börnstein Database, New York: Springer, 2014, Group II, vol. 25C.
Hayashi, M. and Ikeda, C., J. Mol. Struct., 1990, vol. 223, p. 207.
Ikeda, C., Inagusa, T., and Hayashi, M., J. Mol. Spectrosc., 1989, vol. 135, p. 334.
Buissonneaud, D.Y., Van Mourik, T., and O’Hagan, D., Tetrahedron, 2010, vol. 66, p. 2196.
Takeo, H., Matsumura, C., and Morino, Y., J. Chem. Phys., 1986, vol. 84, p. 4205.
Craig, N.C., Chen, A., Suh, K.H., Klee, S., and Mellau, G.C., Winnewisser, B, P., and Winnewisser, M., J. Phys. Chem. A, 1997, vol. 101, p. 9302.
Sugie, M., Kato, M., Matsumura, C., and Takeo, H., J. Mol. Struct., 1997, vols. 413–414, p. 487.
Stolevik, R. and Hagen, R., J. Mol. Struct., 1995, vols. 352–353, p. 23.
Hayashi, M. and Kato, H., Bull. Chem. Soc. Jpn., 1980, vol. 53, p. 2701.
Durig, J.R., Liu, J., Guirgis, G.A., and Van der Veken, B.J., Struct. Chem., 1993, vol. 4, p. 103.
Hayashi, M., Morimoto, Y., and Inada, N., J. Mol. Spectrosc., 1995, vol. 171, p. 328.
McKean, D.C., Torto, I., and Morrison, A.R., J. Mol. Struct., 1983, vol. 99, p. 101.
Bader, R.F.W., J. Phys. Chem. A, 2010, vol. 114, p. 7431.
Bader, R.F.W., J. Phys. Chem. A, 2011, vol. 115, p. 12667.
McMurry, J.E. and Lectka, T., Acc. Chem. Res., 1992, vol. 25, p. 47.
Lane, J.R., Contreras-Garcia, J., Piquemal, J.-P., Miller, B.J., and Kjaergaard, H.G., J. Chem. Theory Comput., 2013, vol. 9, p. 3263.
Davidson, E.R., The World of Quantum Chemistry, Daudel, R. and Pullman, B., Eds., Dordrecht, Netherlands: Reider, 1974.
Boeyens, J.C.A., Found. Chem., 2015, vol. 17, p. 247.
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Kirpichenok, M.A., Titarenko, Z.Y., Vasilevich, N.A. et al. Electrostatic forces and geometry of organic molecules. Part I. Saturated molecules with tetrahedral fragments. Ref. J. Chem. 7, 23–63 (2017). https://doi.org/10.1134/S2079978017010034
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DOI: https://doi.org/10.1134/S2079978017010034