The effects of heteroatom substitution on the singlet–triplet energy differences in diradicals—ab initio calculations of ΔEST in meta-benzoquinomethane and in 1,3-naphthoquinomethane

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David A. Hrovat, Mark A. Murcko, Paul M. Lahti and Weston Thatcher Borden


Abstract

The large effects on the singlet–triplet energy difference, ΔEST, of substituting oxygen atoms for one or two methylene groups in trimethylenemethane and in 2,4-dimethylenecyclobutane-1,3-diyl are discussed. In contrast, CASSCF and CASPT2N/6-31G* calculations predict only small changes in ΔEST on substituting oxygen atoms for one or two methylene groups in m-benzoquinodimethane. After corrections for differences in zero-point energies and heat capacities, CASPT2N/6-31G* calculations give ΔEST = 11.0 kcal mol–1 for m-benzoquinodimethane, which is very close to the experimental value of ΔEST = 9.6 ± 0.2 kcal mol–1. At the same level of theory ΔEST = 9.3 and 11.8 kcal mol–1 are computed for, respectively, m-benzoquinomethane and m-benzoquinone. The reasons why substitution of oxygen atoms for one or two methylene groups is predicted to have such a small effect on ΔEST in these three diradicals is discussed. As expected, for 1,3-naphthoquinomethane CASPT2N predicts a value of ΔEST that is only slightly larger than that in m-benzoquinomethane. However, the calculated value of ΔEST = 11.6 kcal mol–1 is 7 kcal mol–1 lower than the value measured by photoacoustic calorimetry.


References

  1. P. Dowd, J. Am. Chem. Soc., 1966, 88, 2587 CrossRef CAS.
  2. (a) Reviews: Diradicals, ed. W. T. Borden, Academic Press, New York, 1982 Search PubMed; (b) Kinetics and Spectroscopy of Carbenes and Biradicals, ed. M. S. Platz, Plenum Press, New York, 1990 Search PubMed; (c) H. Iwamura, Adv. Phys. Org. Chem., 1990, 26, 179 CAS; (d) D. E. Dougherty, Acc. Chem. Res., 1991, 24, 88 CrossRef CAS; (e) H. Iwamura and N. Koga, Acc. Chem. Res., 1993, 26, 346 CrossRef CAS; (f) A. Rajca, Chem. Rev., 1994, 94, 871 CrossRef CAS; (g) W. T. Borden, H. Iwamura and J. A. Berson, Acc. Chem. Res., 1994, 27, 109 CrossRef CAS; (h) Diradicals, W. T. Borden, in Encyclopedia of Computational Chemistry, ed. P. von R. Schleyer, Wiley, New York, 1998 Search PubMed.
  3. H. C. Longuet-Higgins, J. Chem. Phys., 1950, 18, 265; 275; 283 CrossRef CAS.
  4. (a) W. Schlenck and M. Brauns, Ber. Deutsch Chem. Ges., 1915, 48, 661; (b) G. Kothe, K. H. Denkel and W. Sümmerman, Angew. Chem., Int. Ed. Engl., 1970, 9, 906 CrossRef CAS; (c) G. R. Luckhurst and G. F. Pedulli, J. Chem. Soc. B, 1971, 329 RSC.
  5. P. Dowd, J. Am. Chem. Soc., 1970, 91, 1066 CrossRef.
  6. (a) R. J. Baseman, D. W. Pratt, M. Chow and P. Dowd, J. Am. Chem. Soc., 1976, 98, 5726 CrossRef CAS; (b) the first Curie law studies were performed on TMM derivatives, rather than on the parent hydrocarbon, by M. S. Platz, J. M. McBride, R. D. Little, J. J. Harrison, A. Shaw and J. A. Berson, J. Am. Chem. Soc., 1976, 98, 5725 Search PubMed.
  7. P. Dowd, W. Chang and Y. H. Paik, J. Am. Chem. Soc., 1986, 108, 7416 CrossRef CAS.
  8. For a discussion see: J. A. Berson, in The Chemistry of the Quinonoid Compounds, ed. S. Patai and Z. Rappoport, Wiley, New York, 1988, vol. 2, pp. 462–469 Search PubMed.
  9. (a) K. Matsuda and H. Iwamura, J. Am. Chem. Soc., 1997, 119, 7413; (b) K. Matsuda and H. Iwamura, J. Chem. Soc., Perkin Trans. 2, 1998, this issue Search PubMed.
  10. P. Dowd, W. Chang and Y. H. Paik, J. Am. Chem. Soc., 1987, 109, 5284 CrossRef CAS.
  11. (a) F. Hund, Z. Phys., 1925, 33, 345 CAS; (b) F. Hund, Linienspektren und periodisches System der Elemente, Springer, Berlin, 1927 Search PubMed; (c) W. Kutzelnigg, Angew. Chem., Int. Ed. Engl., 1996, 35, 4001 CrossRef.
  12. W. T. Borden and E. R. Davidson, J. Am. Chem. Soc., 1977, 99, 4587 CrossRef CAS.
  13. A. A. Ovchinnikov, Theor. Chim. Acta, 1978, 47, 297 CrossRef CAS.
  14. (a) For discussions of different approaches to predicting ground states of diradicals, see: W. T. Borden, in Diradicals, ed. W. T. Borden, Wiley-Interscience, New York, 1982, pp. 1–72 Search PubMed; (b) W. T. Borden, Mol. Cryst. Liq. Cryst., 1993, 232, 195 Search PubMed.
  15. (a) For reviews of violations of Hund's rule in molecules see: W. T. Borden, H. Iwamura and J. A. Berson, Acc. Chem. Res., 1994, 27, 109 Search PubMed; (b) D. A. Hrovat and W. T. Borden, J. Mol. Struct. (THEOCHEM), 1997, 398–399, 211 CrossRef CAS; (c) D. A. Hrovat and W. T. Borden, in Modern Electronic Structure Theory and Applications in Organic Chemistry, ed. E. R. Davidson, World Scientific, New York, 1997, pp. 171–195 Search PubMed.
  16. (a) D. R. Yarkony and H. F. Schaefer III, J. Am. Chem. Soc., 1974, 96, 3754 CrossRef CAS; (b) E. R. Davidson and W. T. Borden, J. Am. Chem. Soc., 1977, 99, 2053 CrossRef CAS; (c) J. H. Davis and W. A. Goddard III, J. Am. Chem. Soc., 1977, 99, 4242 CrossRef CAS; (d) D. M. Hood, H. F. Schaefer III and R. M. Pitzer, J. Am. Chem. Soc., 1978, 100, 4587; (e) D. A. Dixon, T. H. Dunning, Jr., R. A. Eades and D. A. Kleier, J. Am. Chem. Soc., 1981, 103, 2878 CrossRef CAS; (f) S. B. Auster, R. M. Pitzer and M. S. Platz, J. Am. Chem. Soc., 1982, 104, 475; (g) D. Feller, K. Tanaka, E. R. Davidson and W. T. Borden, J. Am. Chem. Soc., 1982, 104, 967 CrossRef CAS; (h) B. Ma and H. F. Schaefer III, Chem. Phys., 1996, 207, 31 CrossRef CAS; (i) C. J. Cramer and B. A. Smith, J. Phys. Chem., 1996, 100, 9664 CrossRef CAS; (j) D. A. Hrovat and W. T. Borden, unpublished results cited by T. Bally and W. T. Borden, in Reviews in Computational Chemistry, eds. K. B. Lipkowitz and D. B. Boyd, VCH, New York, 1998, in press Search PubMed.
  17. (a) P. Du and W. T. Borden, J. Am. Chem. Soc., 1987, 109, 930 CrossRef CAS; (b) P. Nachtigall and K. D. Jordan, J. Am. Chem. Soc., 1992, 114, 4743 CrossRef CAS; (c) P. Nachtigall and K. D. Jordan, J. Am. Chem. Soc., 1993, 115, 270 CrossRef CAS.
  18. P. G. Wenthold, J. Hu and R. R. Squires, J. Am. Chem. Soc., 1994, 116, 6961 CrossRef CAS.
  19. P. G. Wenthold, J. B. Kim and W. C. Lineberger, J. Am. Chem. Soc., 1997, 119, 1354 CrossRef CAS.
  20. J. Lee, P. K. Chou, P. Dowd and J. J. Grabowski, J. Am. Chem. Soc., 1993, 115, 7902 CrossRef CAS.
  21. P. G. Wenthold, J. Hu, R. R. Squires and W. C. Lineberger, J. Am. Chem. Soc., 1996, 118, 475 CrossRef CAS.
  22. E. P. Clifford, P. G. Wenthold, W. C. Lineberger, G. B. Ellison, C. X. Wang, J. J. Grabowski, F. Vila and K. D. Jordan, J. Chem. Soc., Perkin Trans. 2, 1998, this issue Search PubMed.
  23. W. R. Roth, U. Kowalczik, G. Maier, H. P. Reisenauer, R. Sustmann and W. Müller, Angew. Chem., Int. Ed. Engl., 1987, 26, 1285 CrossRef.
  24. (a) P. Du, D. A. Hrovat and W. T. Borden, J. Am. Chem. Soc., 1986, 108, 8086 CrossRef CAS; (b) J. J. Nash, P. Dowd and K. D. Jordan, J. Am. Chem. Soc., 1992, 114, 10 071 CrossRef CAS.
  25. (a) L. C. Bush, R. B. Heath, X. W. Feng, P. A. Wang, L. Maksimovic, A. I. Song, W.-S. Chung, A. B. Berinstain, J. C. Sciano and J. A. Berson, J. Am. Chem. Soc., 1997, 119, 1406 CrossRef CAS; (b) L. C. Bush, L. Maksimovic, X. W. Feng, H. S. M. Lu and J. A. Berson, J. Am. Chem. Soc., 1997, 119, 1416 CrossRef CAS and references cited therein; (c) J. A. Berson, Acc. Chem. Res., 1997, 30, 238 CrossRef CAS.
  26. M. B. Coolidge, K. Yamashita, K. Morokuma and W. T. Borden, J. Am. Chem. Soc., 1990, 112, 1751 CrossRef CAS.
  27. W. Sander, D. A. Hrovat and W. T. Borden, unpublished results.
  28. (a) A. S. Ichimura, P. M. Lahti and A. R. Matlin, J. Am. Chem. Soc., 1990, 112, 2868 CrossRef CAS; (b) H. K. Powell and W. T. Borden, J. Org. Chem., 1995, 60, 2654 CrossRef CAS.
  29. T. Hirano, T. Kumagai, T. Miyashi, K. Akiyama and Y. Ikegami, J. Org. Chem., 1991, 56, 1907 CrossRef CAS.
  30. Y. Osamura, W. T. Borden and K. Morokuma, J. Am. Chem. Soc., 1984, 106, 5112 CrossRef CAS.
  31. D. Lim, D. A. Hrovat, W. T. Borden and W. L. Jorgensen, J. Am. Chem. Soc., 1994, 116, 3494 CrossRef CAS.
  32. (a) D. B. Sclove, J. F. Pazos, R. L. Camp and F. D. Greene, J. Am. Chem. Soc., 1970, 92, 7488; (b) solvent effects on the ring opening of sterically unhindered cyclopropanones are complicated by interactions between solvents with lone pairs of electrons and the very electrophilic carbonyl carbon of the cyclopropanone: M. H. J. Cordes and J. A. Berson, J. Am. Chem. Soc., 1996, 118, 6241 Search PubMed.
  33. (a) E. R. Davidson, W. T. Borden and J. Smith, J. Am. Chem. Soc., 1978, 100, 3299 CrossRef CAS; (b) D. Feller, E. R. Davidson and W. T. Borden, J. Am. Chem. Soc., 1982, 104, 1216 CrossRef CAS.
  34. P. Du, D. A. Hrovat and W. T. Borden, J. Am. Chem. Soc., 1989, 111, 3773 CrossRef CAS.
  35. (a) G. J. Snyder and D. A. Dougherty, J. Am. Chem. Soc., 1985, 107, 1774 CrossRef CAS; (b) G. J. Snyder and D. A. Dougherty, J. Am. Chem. Soc., 1986, 108, 299 CrossRef CAS; (c) G. J. Snyder and D. A. Dougherty, J. Am. Chem. Soc., 1989, 111, 3927 CrossRef CAS; (d) G. J. Snyder and D. A. Dougherty, J. Am. Chem. Soc., 1989, 111, 3942 CrossRef CAS.
  36. P. Dowd and Y. H. Paik, J. Am. Chem. Soc., 1986, 108, 2788 CrossRef CAS.
  37. S. Kato, K. Morokuma, D. Feller, E. R. Davidson and W. T. Borden, J. Am. Chem. Soc., 1983, 105, 1791 CrossRef CAS.
  38. R. C. Fort, Jr., S. J. Getty, D. A. Hrovat, P. M. Lahti and W. T. Borden, J. Am. Chem. Soc., 1992, 114, 7549 CrossRef.
  39. B. B. Wright and M. S. Platz, J. Am. Chem. Soc., 1983, 105, 628 CrossRef CAS.
  40. (a) Reviews of meta-quinoidal compounds: M. S. Platz, in Diradicals, ed. W. T. Borden, Academic Press, New York, 1982, pp. 195–258 Search PubMed; (b) M. Rule, A. R. Matlin, D. E. Seeger, E. F. Hilinski, D. A. Dougherty and J. A. Berson, Tetrahedron, 1982, 38, 787 CrossRef CAS; (c) J. A. Berson, in The Chemistry of the Quinoid Compounds, ed. S. Patai and Z. Rappoport, Wiley, 1988, vol. 2, p. 455 Search PubMed; (d) J. A. Berson, Mol. Cryst. Liq. Cryst., 1989, 176, 1 CAS.
  41. M. Rule, A. R. Matlin, E. F. Hilinski, D. A. Dougherty and J. A. Berson, J. Am. Chem. Soc., 1979, 101, 5098 CrossRef CAS.
  42. D. E. Seeger, E. F. Hilinski and J. A. Berson, J. Am. Chem. Soc., 1981, 103, 720 CrossRef CAS.
  43. P. G. Wenthold, D. A. Hrovat, W. T. Borden and W. C. Lineberger, Science, 1996, 272, 1456 CAS.
  44. M. I. Khan and J. L. Goodman, J. Am. Chem. Soc., 1994, 116, 10 342 CrossRef CAS.
  45. P. C. Hariharan and J. A. Pople, Theor. Chim. Acta, 1973, 28, 213 CrossRef CAS.
  46. GAUSSIAN 94, Revision B.3, M. J. Frisch, G. W. Trucks, H. B. Schlegel, P. M. W. Gill, B. G. Johnson, M. A. Robb, J. R. Cheeseman, T. Keith, G. A. Petersson, J. A. Montgomery, K. Raghavachari, M. A. Al-Laham, V. G. Zakrzewski, J. V. Ortiz, J. B. Foresman, 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, Gaussian, Inc., Pittsburgh, PA, 1995.
  47. MOLCAS version 3, K. Anderson, M. R. A. Blomberg, M. P. Fülscher, V. Kellö, R. Lindh, P.-Å. Malmqvist, J. Noga, J. Olsen, B. O. Roos, A. J. Sadlej, P. E. M. Siegbahn, M. Urban, P.-O. Widmark, University of Lund, Sweden, 1994.
  48. (a) K. Anderson, P.-Å. Malmqvist, B. O. Roos, A. Sadlej and K. Wolinski, J. Phys. Chem., 1990, 94, 5483 CrossRef CAS; (b) K. Anderson, P.-Å. Malmqvist and B. O. Roos, J. Chem. Phys., 1992, 96, 1218 CrossRef CAS.
  49. E. R. Davidson, J. J. Gajewski, C. A. Shook and T. Cohen, J. Am. Chem. Soc., 1995, 117, 8495 CrossRef CAS We are indebted to Professor Davidson for sending us the optimized bond lengths in the lowest singlet and triplet states of vinyl-TMM.
  50. The IR spectrum of triplet vinyl-TMM has recently been reported by G. Maier and S. Senger, J. Am. Chem. Soc., 1997, 119, 5857 Search PubMed.
  51. (a) Some leading references are: H.-G. Korth, H. Trill and R. Sustmann, J. Am. Chem. Soc., 1981, 103, 4483 Search PubMed; (b) W. R. Roth, F. Bauer, A. Beitat, T. Ebbrecht and M. Wüstefeld, Chem. Ber., 1991, 124, 1453 CAS; (c) W. von E. Doering, W. R. Roth, F. Bauer, M. Boenke, R. Breuckmann, J. Ruhkamp and O. Wortmann, Chem. Ber., 1991, 124, 1461 CAS; (d) M. B. Coolidge, D. A. Hrovat and W. T. Borden, J. Am. Chem. Soc., 1992, 114, 2354 CrossRef CAS.
  52. Recent references are: (a) D. A. Hrovat and W. T. Borden, J. Phys. Chem., 1994, 98, 10 460 CrossRef CAS; (b) G. E. Davico, V. M. Bierbaum, C. H. DePuy and G. B. Ellison, Int. J. Mass Spectrom. Ion Proc., 1996, 156, 109 CrossRef CAS.
  53. R. R. Squires, personal communication.
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