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Arnoldi Algorithm for the Simulation of Multidimensional Infrared Spectroscopy

  • Published : 2003.08.20

Abstract

The cubic and quartic anharmonic force field of malonaldehyde is calculated using density functional theory at the B3LYP/6-31G(d,p) level, and used to simulate coherent infrared vibrational spectra. 12 normal modes are included in the simulation, and the Arnoldi method is employed for the diagonalization of the Hamiltonian. The calculated three pulse infrared signals in the k1 + k2 - k3 direction show signatures of the intramolecular hydrogen bond couplings between the C=O stretch, H-O-C bend and O-H stretch vibrations.

Keywords

References

  1. Mukamel, S.; Hochstrasser, R. M. Supecial issure in Chem. Phys.2001, 135.
  2. Mukamel, S. Ann. Rev. Phys. 2000, 51, 691. https://doi.org/10.1146/annurev.physchem.51.1.691
  3. Moran, A. M.; Dreyer, J.; Mukamel, S. J. Chem. Phys. (in press).
  4. Seliskar, C. J.; Hoffmann, R. E. J. Mol. Spectr. 1982, 96, 146. https://doi.org/10.1016/0022-2852(82)90220-X
  5. Schiering, D. W.; Katon, J. E. Appl. Spectr. 1986, 40, 1049. https://doi.org/10.1366/0003702864508106
  6. Baba, T.; Tanaka, T.; Morino, I.; Yamada, M. T.; Tanaka, K. J.Chem. Phys. 1999, 10, 4131.
  7. Rowe, W. F.; Duerst, R. W.; Wilson, E. B. J. Am. Chem. Soc. 1977,99, 7072. https://doi.org/10.1021/ja00463a056
  8. Baughcum, S. L.; Duerst, R. W.; Rowe, W. F.; Smith, Z.; Wilson,E. B. J. Am. Chem. Soc. 1981, 103, 6296. https://doi.org/10.1021/ja00411a005
  9. Firth, D. W.; Beyer, K.; Dvorak, M. A.; Reeve, S. W.; Grushow,A.; Loepold, K. R. J. Chem. Phys. 1991, 94, 1812. https://doi.org/10.1063/1.459955
  10. Wolf, K.; Mikenda, W.; Nusterer, E.; Schwarz, K.; Ulbricht, C.Chem. Eur. J. 1998, 4, 1418. https://doi.org/10.1002/(SICI)1521-3765(19980807)4:8<1418::AID-CHEM1418>3.0.CO;2-9
  11. Yagi, K.; Taketsugu, T.; Hirao, K. J. Chem. Phys. 2001, 115, 10647. https://doi.org/10.1063/1.1418436
  12. Makri, N.; Miller, W. H. J. Chem. Phys. 1989, 91, 4026. https://doi.org/10.1063/1.456833
  13. Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.;Robb, M. A.; Cheeseman, J. R.; Zakrzewski, V. G.; Montgomery,Jr., J. A.; Stratmann, R. E.; Burant, J. C.; Dapprich, S.; Millam, J.M.; Daniels, A. D.; Kudin, K. N.; Strain, M. C.; Farkas, O.;Tomasi, J.; Barone, V.; Cossi, M.; Cammi, R.; Mennucci, B.;Pomelli, C.; Adamo, C.; Clifford, S.; Ochterski, J.; Petersson, G.A.; Ayala, P. Y.; Cui, Q.; Morokuma, K.; Malick, D. K.; Rabuck,A. D.; Raghavachari, K.; Foresman, J. B.; Cioslowski, J.; Ortiz, J.V.; Baboul, A. G.; Stefanov, B. B.; Liu, G.; Liashenko, A.;Piskorz, P.; Komaromi, I.; Gomperts, R.; Martin, R. L.; Fox, D. J.;Keith, T.; Al-Laham, M. A.; Peng, C. Y.; Nanayakkara, A.;Gonzalez, C.; Challacombe, M.; Gill, P. M.; Johnson, W. B.;Chen, W.; Wong, M. W.; Andres, J. L.; Gonzalez, C.; Head-Gordon,M.; Replogle, E. S.; Pople, J. A. Gaussian 98 rev. A. 7; Gaussian,Inc.: Pittsburgh, PA, 1998.
  14. Califano, S. Vibrational States; John Wiley and Sons: London,1976.
  15. Encyclopedia of Computational Chemistry; Schleyer, P.; Allinger,N.; Clark, T.; Gasteiger, J.; Kollman, P. A.; Schaefer III, H. A.;Schreiner, P. R., Eds.; John Wiley and Sons: Chichester, 1998.
  16. Remington, K. A.; Pozo, R. NIST Sparse BLAS Users Guide;1996.
  17. Lehoucq, R. B., Ph.D. Thesis, Rice University: Houston, Texas,1995.
  18. Sorensen, D. C. Technical Report No. TR-96-40.
  19. Lehoucq, D. Y. C.; Sorensen, R. B. ARPACK Users Guide: Solutionof Large Scale Eigenvalue Problems by Implicitly RestartedArnoldi Methods; 1996.
  20. Maschho, K. J.; Sorensen, D. C. P. ARPACK: An EfficientPortable Large Scale Eigenvalue Package for Distributed MemoryParallel Architectures. In Applied Parallel Computing in IndustrialProblems and Optimization.
  21. Lecture Notes in Computer Science; Wasniewski, J.; Dongarra, J.;Madsen, K.; Olesen, D., Eds.; Springer-Verlag: Berlin, 1996; Vol.1184.
  22. Nakagawa, I, Vibrational Spectroscopy (in Japanese); GakkaiShuppan Center, Tokyo, 1987.
  23. Sewell, T. D.; Guo, Y.; Thompson, D. L. J. Chem. Phys. 1995,103, 8557. https://doi.org/10.1063/1.470166
  24. Mukamel, S. Nonlinear Optical Spectroscopy; Oxford UniversityPress: New York, 1995.
  25. Hochstrasser, R. M. Chem. Phys. 2001, 266, 273. https://doi.org/10.1016/S0301-0104(01)00232-4
  26. Belabas, N.; Likforman, J.-P. Optics Letters 2001, 26, 743. https://doi.org/10.1364/OL.26.000743
  27. Takada, S.; Nakamura, H. J. Chem. Phys. 1995, 102, 3977. https://doi.org/10.1063/1.468526
  28. Zhang, Y.; Klippenstein, S. J.; Marcus, R. A. J. Chem. Phys. 1991,94, 7319. https://doi.org/10.1063/1.460216

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