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Published Online: 24 June 2002
Accepted: March 2002
J. Chem. Phys. 117, 581 (2002); https://doi.org/10.1063/1.1477925
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We report an implementation for the computation of optical rotations within the Amsterdam Density Functional program package. The code is based on time-dependent density functional response theory. Optical rotations have been calculated for a test set of 36 organic molecules with various density functionals, and employing basis sets of different quality. The results obtained in this work with nonhybrid functionals are comparable in quality to those recently reported by other authors for the B3LYP hybrid functional, but show a somewhat larger tendency to produce outlyers. The median error is approximately 20°/(dmg/cm3) for specific rotations [α]D as compared to experimental data (approximately 30% median deviation from experimental values). Thereby it is demonstrated that density functional computations can be employed to assist with the solution of stereochemical problems in case the specific rotations of the species involved are not small and their structures are rigid. Recent newly developed functionals are investigated with respect to their applicability in computations of optical rotations.
  1. 1. E. Charney, The Molecular Basis of Optical Activity (Wiley, New York, 1979). Google Scholar
  2. 2. P. Crabbé, Optical Rotatory Dispersion and Circular Dichroism in Organic Chemistry (Holden-Day, San Francisco, 1965). Google Scholar
  3. 3. Circular Dichroism: Principles and Applications, edited by K. Nakanishi, N. Berova, and R. W. Woody (VCH, New York, 1994). Google Scholar
  4. 4. C. Djerassi, Optical Rotatory Dispersion (McGraw-Hill, New York, 1960). Google Scholar
  5. 5. E. U. Condon, Rev. Mod. Phys. 9, 432 (1937). Google ScholarCrossref
  6. 6. A. Moscowitz, Adv. Chem. Phys. 4, 67 (1962). Google Scholar
  7. 7. A. E. Hansenand T. D. Bouman, Adv. Chem. Phys. 44, 545 (1980). Google ScholarCrossref
  8. 8. P. L. Polavarapuand D. K. Chakraborty, J. Am. Chem. Soc. 120, 6160 (1998). Google ScholarCrossref
  9. 9. E. K. U. Grossand W. Kohn, Adv. Quantum Chem. 21, 255 (1990). Google ScholarCrossref
  10. 10. E. K. U. Gross, J. F. Dobson, and M. Petersilka, Top. Curr. Chem. 181, 81 (1996). Google ScholarCrossref
  11. 11. J. F. Dobson, in Electronic Density Functional Theory. Recent Progress and New Directions, edited by J. F. Dobson, G. Vignale, and M. P. Das (Plenum, New York, 1998), pp. 43–53. Google Scholar
  12. 12. F. Furcheet al., J. Am. Chem. Soc. 122, 1717 (2000). Google ScholarCrossref
  13. 13. R. Bauernschmittand R. Ahlrichs, Chem. Phys. Lett. 256, 454 (1996). Google ScholarCrossref
  14. 14. J. Autschbach, T. Ziegler, S. J. A. van Gisbergen, and E. J. Baerends, J. Chem. Phys. 116, 6930 (2002). Google ScholarScitation
  15. 15. J. R. Cheeseman, M. J. Frisch, F. J. Devlin, and P. J. Stephens, Chem. Phys. Lett. 252, 211 (1996). Google ScholarCrossref
  16. 16. F. J. Devlin, P. J. Stephens, J. R. Cheeseman, and M. J. Frisch, J. Am. Chem. Soc. 118, 6327 (1996). Google ScholarCrossref
  17. 17. P. J. Stephens, F. J. Devlin, J. R. Cheeseman, and M. J. Frisch, J. Phys. Chem. A 105, 5356 (2001). Google ScholarCrossref
  18. 18. S. Grimme, Chem. Phys. Lett. 339, 380 (2001). Google ScholarCrossref
  19. 19. K. Ruudand T. Helgaker, Chem. Phys. Lett. 352, 533 (2002). Google ScholarCrossref
  20. 20. K. Yabanaand G. F. Bertsch, Phys. Rev. A 60, 1271 (1999). Google ScholarCrossref
  21. 21. Amsterdam Density Functional program, Theoretical Chemistry, Vrije Universiteit, Amsterdam, URL: http://www.scm.com, Google Scholar
  22. 22. G. te Veldeand E. J. Baerends, J. Comput. Phys. 99, 84 (1992). Google ScholarCrossref
  23. 23. C. Fonseca Guerra, O. Visser, J. G. Snijders, G. te Velde, and E. J. Baerends, in Methods and Techniques for Computational Chemistry (STEF, Cagliari, 1995). Google Scholar
  24. 24. G. te Veldeet al., J. Comput. Chem. 22, 931 (2001). Google ScholarCrossref
  25. 25. S. J. A. van Gisbergen, J. G. Snijders, and E. J. Baerends, J. Chem. Phys. 103, 9347 (1995). Google ScholarScitation
  26. 26. S. J. A. van Gisbergen, J. G. Snijders, and E. J. Baerends, Comput. Phys. Commun. 118, 119 (1999). Google ScholarCrossref
  27. 27. P. R. T. Schipper, O. V. Gritsenko, S. J. A. van Gisbergen, and E. J. Baerends, J. Chem. Phys. 112, 1344 (2000). Google ScholarScitation
  28. 28. S. Patchkovskii, J. Autschbach, and T. Ziegler, J. Chem. Phys. 115, 26 (2001). Google ScholarScitation
  29. 29. J. Autschbachand T. Ziegler, J. Chem. Phys. 116, 891 (2002). Google ScholarScitation
  30. 30. F. Furche, J. Chem. Phys. 114, 5982 (2001). Google ScholarScitation
  31. 31. W. Kauzmann, Quantum Chemistry (Academic, New York, 1957). Google Scholar
  32. 32. A. D. Buckingham, Adv. Chem. Phys. 12, 107 (1967). Google Scholar
  33. 33. C. Jamorski, M. E. Casida, and D. R. Salahub, J. Chem. Phys. 104, 5134 (1996). Google ScholarScitation
  34. 34. M. E. Casida, in Recent Advances in Density Functional Methods, edited by D. P. Chong (World Scientific, Singapore, 1995), Vol. 1. Google Scholar
  35. 35. P. Jørgensen and J. Simons, Second Quantization-based Methods in Quantum Chemistry (Academic, New York, 1981). Google Scholar
  36. 36. S. J. A. van Gisbergen, C. Fonseca-Guerra, and E. J. Baerends, J. Comput. Chem. 21, 1511 (2000). Google ScholarCrossref
  37. 37. J. Guanet al., J. Chem. Phys. 98, 4753 (1993). Google ScholarScitation
  38. 38. S. J. A. van Gisbergenet al., Phys. Rev. A 57, 2556 (1998). Google ScholarCrossref
  39. 39. D. P. Chong, S. J. A. van Gisbergen, and E. J. Baerends (unpublished). Google Scholar
  40. 40. M. E. Casida, C. Jamorski, K. C. Casida, and D. R. Salahub, J. Chem. Phys. 108, 4439 (1998). Google ScholarScitation
  41. 41. S. H. Vosko, L. Wilk, and M. Nusair, Can. J. Phys. 58, 1200 (1989). Google ScholarCrossref
  42. 42. A. D. Becke, Phys. Rev. A 38, 3098 (1988). Google ScholarCrossref
  43. 43. J. P. Perdew, Phys. Rev. B 33, 8822 (1986). Google ScholarCrossref
  44. 44. J. P. Perdew, Phys. Rev. B 34, 7406 (1986). Google ScholarCrossref
  45. 45. M. Carnellet al., Chem. Phys. Lett. 180, 477 (1991). Google ScholarCrossref
  46. 46. W. R. Moore, H. W. Anderson, S. D. Clark, and T. M. Ozretich, J. Am. Chem. Soc. 93, 4932 (1971). Google ScholarCrossref
  47. 47. F. Pulm, J. Schramm, J. Hormes, S. Grimme, and S. Peyerimhoff, Chem. Phys. 224, 143 (1997). Google ScholarCrossref
  48. 48. H. J. Bestmannand W. Both, Chem. Ber. 107, 2923 (1974). Google ScholarCrossref
  49. 49. R. H. Martin, M. Flammang-Barbieux, J. P. Cosyn, and M. Gelbcke, Tetrahedron Lett. 31, 3507 (1968). Google ScholarCrossref
  50. 50. W. S. Brickell, A. Brown, C. M. Kemp, and S. F. Mason, J. Chem. Soc. A 1971, 756. Google Scholar
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