ABSTRACT
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 for specific rotations 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. E. Charney, The Molecular Basis of Optical Activity (Wiley, New York, 1979). Google Scholar
- 2. P. Crabbé, Optical Rotatory Dispersion and Circular Dichroism in Organic Chemistry (Holden-Day, San Francisco, 1965). Google Scholar
- 3. Circular Dichroism: Principles and Applications, edited by K. Nakanishi, N. Berova, and R. W. Woody (VCH, New York, 1994). Google Scholar
- 4. C. Djerassi, Optical Rotatory Dispersion (McGraw-Hill, New York, 1960). Google Scholar
- 5. E. U. Condon, Rev. Mod. Phys. 9, 432 (1937). Google ScholarCrossref
- 6. A. Moscowitz, Adv. Chem. Phys. 4, 67 (1962). Google Scholar
- 7. A. E. Hansenand T. D. Bouman, Adv. Chem. Phys. 44, 545 (1980). Google ScholarCrossref
- 8. P. L. Polavarapuand D. K. Chakraborty, J. Am. Chem. Soc. 120, 6160 (1998). Google ScholarCrossref
- 9. E. K. U. Grossand W. Kohn, Adv. Quantum Chem. 21, 255 (1990). Google ScholarCrossref
- 10. E. K. U. Gross, J. F. Dobson, and M. Petersilka, Top. Curr. Chem. 181, 81 (1996). Google ScholarCrossref
- 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. F. Furcheet al., J. Am. Chem. Soc. 122, 1717 (2000). Google ScholarCrossref
- 13. R. Bauernschmittand R. Ahlrichs, Chem. Phys. Lett. 256, 454 (1996). Google ScholarCrossref
- 14. J. Autschbach, T. Ziegler, S. J. A. van Gisbergen, and E. J. Baerends, J. Chem. Phys. 116, 6930 (2002). Google ScholarScitation
- 15. J. R. Cheeseman, M. J. Frisch, F. J. Devlin, and P. J. Stephens, Chem. Phys. Lett. 252, 211 (1996). Google ScholarCrossref
- 16. F. J. Devlin, P. J. Stephens, J. R. Cheeseman, and M. J. Frisch, J. Am. Chem. Soc. 118, 6327 (1996). Google ScholarCrossref
- 17. P. J. Stephens, F. J. Devlin, J. R. Cheeseman, and M. J. Frisch, J. Phys. Chem. A 105, 5356 (2001). Google ScholarCrossref
- 18. S. Grimme, Chem. Phys. Lett. 339, 380 (2001). Google ScholarCrossref
- 19. K. Ruudand T. Helgaker, Chem. Phys. Lett. 352, 533 (2002). Google ScholarCrossref
- 20. K. Yabanaand G. F. Bertsch, Phys. Rev. A 60, 1271 (1999). Google ScholarCrossref
- 21. Amsterdam Density Functional program, Theoretical Chemistry, Vrije Universiteit, Amsterdam, URL: http://www.scm.com, Google Scholar
- 22. G. te Veldeand E. J. Baerends, J. Comput. Phys. 99, 84 (1992). Google ScholarCrossref
- 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. G. te Veldeet al., J. Comput. Chem. 22, 931 (2001). Google ScholarCrossref
- 25. S. J. A. van Gisbergen, J. G. Snijders, and E. J. Baerends, J. Chem. Phys. 103, 9347 (1995). Google ScholarScitation
- 26. S. J. A. van Gisbergen, J. G. Snijders, and E. J. Baerends, Comput. Phys. Commun. 118, 119 (1999). Google ScholarCrossref
- 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. S. Patchkovskii, J. Autschbach, and T. Ziegler, J. Chem. Phys. 115, 26 (2001). Google ScholarScitation
- 29. J. Autschbachand T. Ziegler, J. Chem. Phys. 116, 891 (2002). Google ScholarScitation
- 30. F. Furche, J. Chem. Phys. 114, 5982 (2001). Google ScholarScitation
- 31. W. Kauzmann, Quantum Chemistry (Academic, New York, 1957). Google Scholar
- 32. A. D. Buckingham, Adv. Chem. Phys. 12, 107 (1967). Google Scholar
- 33. C. Jamorski, M. E. Casida, and D. R. Salahub, J. Chem. Phys. 104, 5134 (1996). Google ScholarScitation
- 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. P. Jørgensen and J. Simons, Second Quantization-based Methods in Quantum Chemistry (Academic, New York, 1981). Google Scholar
- 36. S. J. A. van Gisbergen, C. Fonseca-Guerra, and E. J. Baerends, J. Comput. Chem. 21, 1511 (2000). Google ScholarCrossref
- 37. J. Guanet al., J. Chem. Phys. 98, 4753 (1993). Google ScholarScitation
- 38. S. J. A. van Gisbergenet al., Phys. Rev. A 57, 2556 (1998). Google ScholarCrossref
- 39. D. P. Chong, S. J. A. van Gisbergen, and E. J. Baerends (unpublished). Google Scholar
- 40. M. E. Casida, C. Jamorski, K. C. Casida, and D. R. Salahub, J. Chem. Phys. 108, 4439 (1998). Google ScholarScitation
- 41. S. H. Vosko, L. Wilk, and M. Nusair, Can. J. Phys. 58, 1200 (1989). Google ScholarCrossref
- 42. A. D. Becke, Phys. Rev. A 38, 3098 (1988). Google ScholarCrossref
- 43. J. P. Perdew, Phys. Rev. B 33, 8822 (1986). Google ScholarCrossref
- 44. J. P. Perdew, Phys. Rev. B 34, 7406 (1986). Google ScholarCrossref
- 45. M. Carnellet al., Chem. Phys. Lett. 180, 477 (1991). Google ScholarCrossref
- 46. W. R. Moore, H. W. Anderson, S. D. Clark, and T. M. Ozretich, J. Am. Chem. Soc. 93, 4932 (1971). Google ScholarCrossref
- 47. F. Pulm, J. Schramm, J. Hormes, S. Grimme, and S. Peyerimhoff, Chem. Phys. 224, 143 (1997). Google ScholarCrossref
- 48. H. J. Bestmannand W. Both, Chem. Ber. 107, 2923 (1974). Google ScholarCrossref
- 49. R. H. Martin, M. Flammang-Barbieux, J. P. Cosyn, and M. Gelbcke, Tetrahedron Lett. 31, 3507 (1968). Google ScholarCrossref
- 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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