An assessment of theoretical procedures for the calculation of reliable radical stabilization energies[hair space]†‡

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Christopher J. Parkinson, Paul M. Mayer and Leo Radom


Abstract

The performance of a variety of theoretical methods in computing stabilization energies of the substituted methyl and vinyl radicals ˙CH2F, ˙CH2CN, ˙CH2CH[double bond, length half m-dash]CH2, ˙CH2CH[double bond, length half m-dash]O, CH2[double bond, length half m-dash]C˙F and CH2[double bond, length half m-dash]C˙CN is examined. The influence of electron correlation (UHF, UMP2, PMP2, RMP2, UB3-LYP, UQCISD, UQCISD(T), UCCSD(T), URCCSD(T) and RRCCSD(T)) and basis set size (from 6-31G(d) to 6-311++G(3df,3pd)) on stabilization energies is evaluated, as well as the performance of compound methods such as G2, G3, CBS-Q and CBS-APNO and their variants. The results indicate that generally reliable radical stabilization energies can be obtained at modest cost using RMP2/6-311+G(2df,p)//RMP2/6-31G(d) energies. A slightly less accurate but more economical procedure is RMP2/6-311+G(d)//B3-LYP/6-31G(d). UMP2 and PMP2 are unsuitable for obtaining radical stabilization energies for spin-contaminated radicals, while UB3-LYP appears generally to overestimate stabilization energies.


References

  1. See for example: T. H. Fisher and A. W. Meierhoefer, J. Org. Chem., 1978, 43, 224 Search PubMed; X. Creary, J. Org. Chem., 1980, 45, 280 CrossRef CAS; D. F. McMillen and D. M. Golden, Annu. Rev. Phys. Chem., 1982, 33, 493 CrossRef CAS; H. Agirbas and R. A. Jackson, J. Chem. Soc., Perkin Trans. 2, 1983, 739 CrossRef CAS; J. M. Dust and D. R. Arnold, J. Am. Chem. Soc., 1983, 105, 1221 RSC; D. D. M. Wayner and D. R. Arnold, Can. J. Chem., 1984, 62, 1164 CrossRef CAS; D. D. M. Wayner and D. R. Arnold, Can. J. Chem., 1985, 63, 2378 CAS; F. G. Bordwell and M. J. Bausch, J. Am. Chem. Soc., 1986, 108, 1979 CAS; T. J. Burkey, M. Majewski and D. Griller, J. Am. Chem. Soc., 1986, 108, 2218 CrossRef CAS; J. A. Hawari, J. M. Kanabus-Kaminska, D. D. M. Wayner and D. Griller, in Substituent Effects in Radical Chemistry, eds. H. G. Viehe, Z. Janousek and R. Merenyi, D. ReidelPublishing Co., Louvain-la-Neuve, 1986, p. 91 CrossRef CAS; C. Ruchardt and H.-D. Beckhaus, Top. Curr. Chem., 1986, 130, 1 CrossRef CAS; J. W. Timberlake, in Substituent Effects in Radical Chemistry, eds. H. G. Viehe, Z. Janousek and R. Merenyi, D. ReidelPublishing Co., Louvain-la-Neuve, 1986, p. 271 Search PubMed; X. Creary, M. E. Mehrsheikh-Mohammadi and S. McDonald, J. Org. Chem., 1987, 52, 3254 Search PubMed; D. Griller, J. M. Kanabus-Kaminska and A. Maccoll, J. Mol. Struct. (THEOCHEM), 1988, 163, 125; D. C. McKean, Int. J. Chem. Kinet., 1989, 21, 445 Search PubMed; R. Sustmann and H.-G. Korth, Adv. Phys. Org. Chem., 1990, 26, 131 CrossRef CAS; F. G. Bordwell, X.-M. Zhang and M. S. Alnajjar, J. Am. Chem. Soc., 1992, 114, 7623 CrossRef; X.-K. Jiang and G.-Z. Ji, J. Org. Chem., 1992, 57, 6051 CrossRef CAS; F. G. Bordwell and X.-M. Zhang, Acc. Chem. Res., 1993, 26, 510 CAS; K. B. Clark, D. D. M. Wayner, S. H. Demirdji and T. H. Koch, J. Am. Chem. Soc., 1993, 115, 2447 CrossRef CAS; F. G. Bordwell and A. V. Satish, J. Am. Chem. Soc., 1994, 116, 8885 CrossRef CAS; F. G. Bordwell and X.-M. Zhang, J. Am. Chem. Soc., 1994, 116, 973 CrossRef CAS; W. Adam, C. v. Barneveld, O. Emmert, H. M. Harrer, F. Kita, A. S. Kumar, W. Maas, W. M. Nau, S. H. K. Reddy and J. Wirz, Pure Appl. Chem., 1997, 69, 735 CrossRef CAS; J. J. Brocks, F. M. Welle, H.-D. Beckhaus and C. Ruchardt, Tetrahedron Lett., 1997, 38, 7721 CrossRef CAS; L. J. J. Laarhoven, J. G. P. Born, I. W. C. E. Arends and P. Mulder, J. Chem. Soc., Perkin Trans. 2, 1997, 2307 CrossRef; W. M. Nau, J. Phys. Org. Chem., 1997, 10, 445 CrossRef CAS; D. Ponomarev and V. Takhistov, J. Mol. Struct., 1997, 435, 259 CrossRef CAS; D. D. M. Wayner, K. B. Clark, A. Rauk, D. Yu and D. A. Armstrong, J. Am. Chem. Soc., 1997, 119, 8925 RSC; J. J. Brocks, H.-D. Beckhaus, A. L. J. Beckwith and C. Ruchardt, J. Org. Chem., 1998, 63, 1935 CrossRef CAS; B. Romer, G. G. Gatev, M. Zhong and J. I. Brauman, J. Am. Chem. Soc., 1998, 120, 2919 CrossRef CAS; J. A. Seetula, J. Chem. Soc., Faraday Trans., 1998, 94, 891 CrossRef CAS; F. G. Bordwell and W. Z. Liu, J. Phys. Org. Chem., 1998, 11, 397 CrossRef CAS; D. A. Ponomarev and V. V. Takhistov, J. Mol. Struct., 1999, 477, 91 CrossRef.
  2. J. Berkowitz, G. B. Ellison and D. Gutman, J. Phys. Chem., 1994, 98, 2744 CrossRef CAS.
  3. See for example: A. Pross and L. Radom, Tetrahedron, 1980, 36, 1999 Search PubMed; G. Leroy and D. Peeters, J. Mol. Struct. (THEOCHEM), 1981, 85, 133 CrossRef CAS; N. C. Baird, Can. J. Chem., 1983, 61, 1567 CrossRef; F. Delbecq, J. Mol. Struct. (THEOCHEM), 1983, 93, 353 CAS; G. Leroy, D. Peeters, M. Sana and C. Wilante, in Substituent Effects in Radical Chemistry, eds. H. G. Viehe, Z. Janousek and R. Merenyi, D. ReidelPublishing Co., Louvain-la-Neuve, 1986, p. 1 CrossRef; D. J. Pasto, R. Krasnansky and C. Zercher, J. Org. Chem., 1987, 52, 3062 CrossRef; M. B. Coolidge and W. T. Borden, J. Am. Chem. Soc., 1988, 110, 2298 Search PubMed; D. J. Pasto, J. Am. Chem. Soc., 1988, 110, 8164 CrossRef CAS; G. Leroy, M. Sana, C. Wilante and R. M. Nemba, J. Mol. Struct., 1989, 198, 159 CrossRef CAS; M. L. McKee, Chem. Phys. Lett., 1989, 164, 520 CrossRef CAS; Y.-D. Wu, W. Kirmse and K. N. Houk, J. Am. Chem. Soc., 1990, 112, 4557 CrossRef CAS; M. Lehd and F. Jensen, J. Org. Chem., 1991, 56, 884 CrossRef CAS; G. Leroy, M. Sana and C. Wilante, J. Mol. Struct. (THEOCHEM), 1991, 234, 303 CrossRef CAS; G. Leroy, M. Sana and C. Wilante, J. Mol. Struct. (THEOCHEM), 1991, 228, 37 CrossRef CAS; J. Espinosa-Garcia, F. J. Olivares del Valle, G. Leroy, M. Sana and C. Wilante, J. Mol. Struct. (THEOCHEM), 1992, 258, 315 CrossRef; D. J. Pasto, J. Org. Chem., 1992, 57, 1139 CrossRef; C. F. Rodriguez, S. Sirois and A. C. Hopkinson, J. Org. Chem., 1992, 57, 4869 CrossRef; R. Arnaud, A. Grand and R. Subra, J. Mol. Struct. (THEOCHEM), 1993, 283, 101 CrossRef CAS; S. Lalitha and J. Chandrasekhar, Proc. Indian Acad. Sci. (Chem. Sci.), 1994, 106, 259 CrossRef; G. Leroy, J.-P. Dewispelaere, H. Benkadour, D. R. Temsamani and C. Wilante, Bull. Soc. Chim. Belg., 1994, 103, 367 CrossRef; K. B. Wiberg, J. R. Cheesman, J. W. Ochterski and M. J. Frisch, J. Am. Chem. Soc., 1995, 117, 6535 Search PubMed; Y.-D. Wu and C.-L. Wong, J. Org. Chem., 1995, 60, 821 CAS; D. A. Armstrong, D. Yu and A. Rauk, Can. J. Chem., 1996, 74, 1192 CrossRef CAS; H. Basch, Inorg. Chim. Acta, 1996, 252, 265 CrossRef CAS; T. Fox and P. A. Kollman, J. Phys. Chem., 1996, 100, 2950 CAS; B. S. Jursic and J. W. Timberlake, Tetrahedron Lett., 1996, 37, 6473 CrossRef CAS; K. Pius, M. Jain and J. Chandrasekhar, J. Mol. Struct. (THEOCHEM), 1996, 361, 191 CrossRef CAS; Y.-D. Wu, C.-L. Wong, K. W. K. Chan, G.-Z. Ji and X.-K. Jiang, J. Org. Chem., 1996, 61, 746 CrossRef CAS; E. M. Arnett, R. A. Flowers II, R. T. Ludwig, A. E. Meekhof and S. A. Walek, J. Phys. Org. Chem., 1997, 10, 499 CrossRef CAS; J. Cioslowski, G. Liu and D. Moncrieff, J. Am. Chem. Soc., 1997, 119, 11452 CrossRef CAS; E. R. Davidson, S. Chakravorty and J. J. Gajewski, New J. Chem., 1997, 21, 533 CrossRef CAS; H.-G. Korth and W. Sicking, J. Chem. Soc., Perkin Trans. 2, 1997, 715 CrossRef CAS; B. S. Jursic, J. Mol. Struct. (THEOCHEM), 1998, 422, 253 Search PubMed; X.-M. Zhang, J. Org. Chem., 1998, 63, 1872 RSC; G. A. DiLabio, D. A. Pratt, A. D. LoFaro and J. S. Wright, J. Phys. Chem. A, 1999, 103, 1653 CrossRef CAS; Y. G. Lazarou and P. Papagiannakopoulos, Chem. Phys. Lett., 1999, 301, 19 CrossRef CAS.
  4. (a) For a recent comprehensive and very readable account of diculties associated with calculations on open-shell systems, see T. Bally and W. T. Borden, in Reviews in Computational Chemistry, Vol. 13, eds. K. B. Lipkowitz and D. B. Boyd, Wiley-VCH, New York, 1999, p. 1 Search PubMedEarlier papers dealing specically with the effects of spin contamination on UMP results include: (b) P. J. Knowles, K. Somasundram, N. C. Handy and K. Hirao, Chem. Phys. Lett., 1985, 113, 8 CrossRef CAS; N. C. Handy, P. J. Knowles and K. Somasundram, Theor. Chem. Acc., 1985, 68, 87 CAS; P. M. W. Gill and L. Radom, Chem. Phys. Lett., 1986, 132, 16 CrossRef CAS; R. H. Nobes, J. A. Pople, L. Radom, N. C. Handy and P. J. Knowles, Chem. Phys. Lett., 1987, 138, 481 CrossRef CAS; M. B. Lepetit, M. Pélissier and J. P. Malrieu, J. Chem. Phys., 1988, 89, 998 CrossRef CAS; P. M. W. Gill, J. A. Pople, L. Radom and R. H. Nobes, J. Chem. Phys., 1988, 89, 7307 CrossRef CAS.
  5. L. A. Curtiss, K. Raghavachari, G. W. Trucks and J. A. Pople, J. Chem. Phys., 1991, 94, 7221 CrossRef CAS.
  6. L. A. Curtiss, K. Raghavachari, P. C. Redfern, V. Rassolov and J. A. Pople, J. Chem. Phys., 1998, 109, 7764 CrossRef CAS.
  7. A. G. Baboul, L. A. Curtiss, P. C. Redfern and K. Raghavachari, J. Chem. Phys., 1999, 110, 7650 CrossRef CAS.
  8. J. W. Ochterski, G. A. Petersson and J. A. Montgomery Jr., J. Chem. Phys., 1996, 104, 2598 CrossRef CAS.
  9. P. M. Mayer, C. J. Parkinson, D. M. Smith and L. Radom, J. Chem. Phys., 1998, 108, 604 CrossRef CAS.
  10. C. J. Parkinson, P. M. Mayer and L. Radom, Theor. Chem. Acc., 1999, 102, 92 CrossRef CAS.
  11. W. J. Hehre, L. Radom, P. v. R. Schleyer and J. A. Pople, Ab Initio Molecular Orbital Theory, Wiley, New York, 1986 Search PubMed.
  12. M. J. Frisch, G. W. Trucks, H. B. Schlegel, P. M. W. Gill, B. G. Johnson, M. A. Robb, J. R. Cheeseman, T. Keith, A. Petersson, A. Montgomery, K. Raghavachari, M. A. Al-Laham, V. G. Zakrzewski, J. V. Ortiz, J. B. Foresman, J. Cioslowski, B. B. Stefanov, A. Nanayakkara, M. Challacombe, C. Y. Peng, P. Y. Ayala, W. Chen, M. W. Wong, J. L. Andres, E. S. Replogle, R. Gomperts, R. L. Martin, D. J. Fox, J. S. Binkley, D. J. Defrees, J. Baker, J. P. Stewart, M. Head-Gordon, C. Gonzalez and J. A. Pople, GAUSSIAN94, Gaussian Inc., Pittsburgh, 1995.
  13. M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, V. G. Zakrzewski, J. A. Montgomery, Jr., R. E. Stratmann, J. C. Burant, S. Dapprich, J. M. Millam, A. D. Daniels, K. N. Kudin, M. C. Strain, O. Farkas, J. Tomasi, V. Barone, M. Cossi, R. Cammi, B. Mennucci, C. Pomelli, C. Adamo, S. Clifford, J. Ochterski, G. A. Petersson, P. Y. Ayala, Q. Cui, K. Morokuma, D. K. Malick, A. D. Rabuck, K. Raghavachari, J. B. Foresman, J. Cioslowski, J. V. Ortiz, B. B. Stefanov, G. Liu, A. Liashenko, P. Piskorz, I. Komaromi, R. Gomperts, R. L. Martin, D. J. Fox, T. Keith, M. A. Al-Laham, C. Y. Peng, A. Nanayakkara, C. Gonzalez, M. Challacombe, P. M. W. Gill, B. Johnson, W. Chen, M. W. Wong, J. L. Andres, M. Head-Gordon, E. S. Replogle and J. A. Pople, GAUSSIAN98, Gaussian Inc., Pittsburgh, 1998.
  14. (a) J. F. Stanton, J. Gauss, J. D. Watts, W. J. Lauderdale and R. J. Bartlett, ACES II, Quantum Theory Project, Departments of Chemistry and Physics, University of Florida, Gainesville, 1992; (b) J. F. Stanton, J. Gauss, J. D. Watts, W. J. Lauderdale and R. J. Bartlett, Int. J. Quantum Chem., Symp., 1992, 26, 879 Search PubMed.
  15. MOLPRO 96 is a package of ab initio programs written by H. J. Werner and P. J. Knowles with contributions by J. Almlöf, R. D. Amos, J. O. Deegan, S. T. Elbert, C. Hampel, W. Meyer, K. Peterson, R. Pitzer, A. J. Stone, P. R. Taylor, R. Lindh, M. E. Mura and T. Thorsteinsson.
  16. RMP2 calculations were carried out using GAUSSIAN94 and the keyword ROMP2; RMP4 calculations were performed using the ACES II computer program; CCSD(T) calculations were performed using GAUSSIAN94 with the keyword CCSD(T), and with MOLPRO using the keywords UCCSD(T) and RCCSD(T).
  17. A. P. Scott and L. Radom, J. Phys. Chem., 1996, 100, 16502 CrossRef CAS.
  18. A. Nicolaides, A. Rauk, M. N. Glukhovtsev and L. Radom, J. Phys. Chem., 1996, 100, 17460 CrossRef CAS.
  19. S. G. Lias, J. E. Bartmess, J. F. Liebman, J. L. Holmes, R. D. Levin and W. G. Mallard, J. Phys. Chem. Ref. Data, 1988, 17(Suppl.1) Search PubMed.
  20. J. M. L. Martin, Chem. Phys. Lett., 1996, 259, 669 CrossRef CAS.
  21. J. A. Montgomery, Jr., M. J. Frisch, J. W. Ochterski and G. A. Petersson, J. Chem. Phys., 1999, 110, 2822 CrossRef CAS.
  22. C. J. Parkinson and L. Radom, unpublished work.
  23. L. A. Curtiss, K. Raghavachari and J. A. Pople, J. Chem. Phys., 1995, 103, 4192 CrossRef CAS.
  24. Landolt-Börnstein, New Series, “Structure Data of Free Polyatomic Molecules”, ed. K. Kuchitsu, Springer, New York, 1995, vol. II/23 (polyatomic molecules) Search PubMed.
  25. M. W. Chase Jr., C. A. Davies, J. R. Downey Jr., D. J. Frurip, R. A. McDonald and A. N. Syverud, JANAF Thermochemical Tables, 3rd Edition, J. Phys. Chem. Ref. Data, 1985, 14, Suppl. 1 Search PubMed.
  26. H. Y. Afeefy, J. F. Liebman and S. E. Stein, in Neutral Thermochemical Data: NIST Chemistry WebBook, NIST Standard Reference Database Number 69, eds. W. G. Mallard and P. J. Linstrom, November 1998, National Institute of Standards and Technology, Gaithersburg, MD, 20899 (http://webbook.nist.gov) Search PubMed.
  27. D. A. Shea, R. J. J. M. Steenvoorden and P. Chen, J. Phys. Chem., 1997, 101, 9728 Search PubMed.
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