Abstract
We analyze the validity of the “|Δμ| big is good” rule over a set of different 1,3-dipolar cycloaddition reactions. We consider different factors that could be important in the practical application of this principle, chiefly: intermolecular interactions and geometry reorganization. We observe that while a simple model of the reagent–reagent perturbations suffices to describe charge transfer in these reactions, it fails when applied to the “|Δμ| big is good” rule. On the contrary, geometry changes are proven to be of paramount importance and only when they are correctly taken care of the “|Δμ| big is good” rule provides accurate predictions.
Similar content being viewed by others
References
Lide DR (1990) CRC handbook of chemistry and physics. CRC Press, Boca Raton
Borden WT (1975) Modern molecular orbital theory for organic chemists. Prentice-Hall, Englewood Cliffs
Pearson RG (1969) Surv Progr Chem 5:1–52
Chang R, College W (2002) Química. McGraw Hill Interamericana, Mexico DF
Solomons TWG (1994) Fundamentals of organic chemistry. Wiley, New York
Hohenberg P, Kohn W (1964) Phys Rev 136:B864
Kohn W, Sham LJ (1965) Phys Rev 140:A1133
Dreizler RM, Gross EKU (1990) Density functional theory: an approach to the quantum many-body problem. Springer-Verlag, Berlin
Parr RG, Yang W (1989) Density-functional theory of atoms and molecules. Oxford UP, New York
Geerlings P, De Proft F, Langenaeker W (2003) Chem Rev 103:1793
Ayers PW, Anderson JSM, Bartolotti LJ (2005) Int J Quantum Chem 101:520
Johnson PA, Bartolotti LJ, Ayers PW, Fievez T (2012) Geerlings P. In: Gatti C, Macchi P (eds) Modern charge density analysis. Springer, New York, p 715
Miranda-Quintana RA (2018) In: Islam N, Kaya S (eds) Conceptual density functional theory and its applications in the chemical domain. Apple Academic Press, New Jersey, p 15
Chattaraj PK (ed) (2009) Chemical reactivity theory: a density functional view. CRC Press, Boca Raton
Chermette H (1999) J Comput Chem 20:129
Fuentealba P, Cárdenas C (2015) In: Springborg M (ed) Chemical modelling. The Royal Society of Chemistry, vol 11, p 151
Liu SB (2009) Acta Phys Chim Sin 25:590
Sanderson RT (1951) Science 114:670
Donnelly RA, Parr RG (1978) J Chem Phys 69:4431
Pearson RG (1963) J Am Chem Soc 85:3533
Pearson RG (1968) J Chem Educ 45:643
Pearson RG (1968) J Chem Educ 45:581
Pearson RG (1969) Surv Progr Chem 5:1
Pearson RG (1966) Science 151:172
Pearson RG (1967) Chem Br 3:103
Ayers PW (2005) J Chem Phys 122:141102
Ayers PW, Parr RG, Pearson RG (2006) J Chem Phys 124:194107
Ayers PW (2007) Faraday Discuss 135:161
Ayers PW, Cardenas C (2013) J Chem Phys 138:181106
Cardenas C, Ayers PW (2013) PCCP 15:13959
Chattaraj PK, Lee H, Parr RG (1855) J Am Chem Soc 1991:113
Gazquez JL, Mendez F (1994) J Phys Chem 98:4591
Mendez F, Gazquez JL (1994) J Am Chem Soc 116:9298
Pearson RG (1987) J Chem Educ 64:561
von Szentpály L (2017) J Mol Model 23:217
Parr RG, Chattaraj PK (1854) J Am Chem Soc 1991:113
Ayers PW, Parr RG (2010) J Am Chem Soc 2000:122
Pearson RG, Palke WE (1992) J Phys Chem 96:3283
Chattaraj PK (1996) Proc Indian Natl Sci Acad Part A 62:513
Torrent-Sucarrat M, Luis JM, Duran M, Sola M (2001) J Am Chem Soc 123:7951
Torrent-Sucarrat M, Luis JM, Duran M, Sola M (2002) J Chem Phys 117:10561
Chattaraj PK, Sarkar U, Roy DR (2006) Chem Rev 106:2065
Morell C, Labet V, Grand A, Chermette H (2009) PCCP 11:3414
Parthasarathi R, Elango M, Subramanian V, Chattaraj PK (2005) Theor Chem Acc 113:257
Chamorro E, Chattaraj PK, Fuentealba P (2003) J Phys Chem A 107:7068
Noorizadeh S (2007) Chin J Chem 25:1439
Noorizadeh S (2007) J Phys Org Chem 20:514
Miranda-Quintana RA (2017) J Chem Phys 146:214113
Miranda-Quintana RA, Chattaraj PK, Ayers PW (2017) J Chem Phys 147:124103
Miranda-Quintana RA (2017) J Chem Phys 146:046101
Miranda-Quintana RA, Ayers PW (2018) J Chem Phys 148:196101
Chattaraj PK, Ayers PW, Melin J (2007) PCCP 9:3853
Chattaraj PK, Ayers PW (2005) J Chem Phys 123:086101
Perdew JP, Parr RG, Levy M, Balduz JL Jr. (1982) Phys Rev Lett 49:1691
Parr RG, Donnelly RA, Levy M, Palke WE (1978) J Chem Phys 68:3801
Parr RG (1994) Int J Quantum Chem 49:739
Miranda-Quintana RA, Zadeh FH, Ayers PW (2018) J Phys Chem Lett 9:4344
Miranda-Quintana RA, Ayers PW (2018) In preparation
Parr RG, Pearson RG (1983) J Am Chem Soc 105:7512
Miranda-Quintana RA, Ayers PW (2016) J Chem Phys 144:244112
Heidar Zadeh F, Miranda-Quintana RA, Verstraelen T, Bultinck P, Ayers PW (2016) J Chem Theory Comput 12:5777
Miranda-Quintana RA, Ayers PW (2018) In: Islam N, Kaya S (eds) Conceptual density functional theory and its applications in the chemical domain. Apple Academic Press, New Jersey, p 61
Miranda-Quintana RA (2017) Theor Chem Acc 136:76
Miranda-Quintana RA, Ayers PW (2016) PCCP 18:15070
Miranda-Quintana RA, Ayers PW (2016) Theor Chem Acc 135:172
Miranda-Quintana RA, González MM, Ayers PW (2016) PCCP 18:22235
Ayers PW, Miranda-Quintana RA, Heidar Zadeh F, Fias S, Chapman AEA, Cardenas C, Liu S, Morell C (2018) In preparation
Parr RG, Yang WT (1984) J Am Chem Soc 106:4049
Ayers PW, Levy M (2000) Theor Chem Acc 103:353
Morell C, Grand A, Toro-Labbé A (2005) J Phys Chem A 109:205
Morell C, Grand A, Toro-Labbé A (2006) Chem Phys Lett 425:342
Fuentealba P, Cardenas C, Pino-Rios R (2016) Tiznado W. In: Chauvin R, Lepetit C, Silvi B, Alikhani E (eds) Applications of topological methods in molecular chemistry. Springer International Publishing, Cham, p 227
Cardenas C, Tiznado W, Ayers PW, Fuentealba P (2011) J Phys Chem A 115:2325
Osorio E, Ferraro MB, Oña O, Cardenas C, Fuentealba P, Tiznado WJ (2011) Chem Theory Comput 7:3995
Houk KN, Sims J, Watts CR, Luskus LJ (1973) J Am Chem Soc 95:7301
Houk KN, Sims J, Duke RE Jr., Strozier RW, George JK (1973) J Am Chem Soc 95:7287
Frisch MJ, Trucks GW; Schlegel HB; Scuseria GE; Robb MA; Cheeseman JR; Scalmani G; Barone V; Mennucci B; Petersson GA; Nakatsuji H; Caricato M, Li X, Hratchian HP, Iszmaylov AF, Bloino J, Zheng G, Sonnenberg JL, Hada M, Ehara M, Toyota K, Fukuda R, Hasegawa J, Ishida M, Nakajima T, Honda Y, Kitao O, Nakai H, Vreven T, Montgomery JrJA, Peralta JE, Ogliaro F, Bearpark M, Heyd JJ, Brothers E, Kudin KN, Staroverov VN, Kobayashi R, Normand J, Raghavachari K, Rendell A, Burant JC, Iyengar SS, Tomasi J, Cossi M, Rega N, Millam JM, Klene M, Knox JE, Cross JB, Bakken V, Adamo C, Jaramillo J, Gomperts R, Stratmann RE, Yazyev O, Austin AJ, Cammi R, Pomelli C, Ochterski JW, Martin RL, Morokuma K, Zakrzewski VG, Voth GA, Salvador P, Dannenberg JJ, Dapprich S, Daniels AD, Farkas O, Foresman JB, Ortiz JV, Cioslowski J, Fox DJ, Gaussian Inc. (2009) Wallingford CT
González MM, Hernández-Castillo D, Montero-Cabrera LA, Miranda-Quintana RA (2017) Int J Quantum Chem 117:e25444
Beno BR, Houk KN, Singleton DA (1996) J Am Chem Soc 118:9984
Damoun S, VandeWoude G, Mendez F, Geerlings P (1997) J Phys Chem A 101:886
Ess DH, Houk KN (2007) J Am Chem Soc 129:10646
Ess DH, Houk KN (2008) J Am Chem Soc 130:10187
Schoenebeck F, Ess DH, Jones GO, Houk KN (2009) J Am Chem Soc 131:8121
Xu L, Doubleday CE, Houk KN (2010) J Am Chem Soc 132:3029
Nakatsuji H (1974) J Am Chem Soc 96:24
Nakatsuji H (1974) J Am Chem Soc 96:30
Acknowledgements
We thank NSERC and Compute Canada for support. RAMQ acknowledges funding from York University in the form of a York Science Fellowship. Also, we would like to dedicate this work to Pratim Kumar Chattaraj, whose relentless work in C-DFT has contributed to elucidate the physical basis of many important reactivity principles.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Miranda-Quintana, R.A., Ayers, P.W. Dipolar cycloadditions and the “|Δμ| big is good” rule: a computational study. Theor Chem Acc 137, 177 (2018). https://doi.org/10.1007/s00214-018-2391-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00214-018-2391-0