MøllerPlesset perturbation theory for vibrational wave functions
J. Chem. Phys. 119, 5773 (2003); doi:10.1063/1.1601593
Issue Date: 22 September 2003
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The vibrational self-consistent field wave function is considered as the zeroth order state in a vibrational MøllerPlesset (VMP) perturbation theory. A method for calculating the contributions to arbitrary order is described and implemented. The theoretical background for understanding and analyzing the behavior of convergent and divergent VMP expansions is discussed briefly. Examples of convergent and divergent vibrational MøllerPlesset perturbation series are given and analyzed for two-mode model systems and for a formaldehyde quartic force field. It is found that direct use of high order VMP is problematic for calculation of anharmonic vibrational energies. ©2003 American Institute of Physics.
| History: | Received 27 May 2003; accepted 25 June 2003 |
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0021-9606 (print)
1089-7690 (online)
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- C. Møller and M. S. Plesset,
Phys. Rev. 46, 618 (1934) . - J. M. Bowman, J. Chem. Phys. 68, 608 (1978).
- J. M. Bowman,
Acc. Chem. Res. 19, 202 (1986) . - R. Gerber and M. Ratner,
Adv. Chem. Phys. 70, 97 (1988) . - S. Carter, J. M. Bowman, and N. C. Handy, Theor. Chim. Acta 100, 191 (1998).
- K. M. Christoffel and J. M. Bowman,
Chem. Phys. Lett. 85, 220 (1982) . - L. S. Norris, M. A. Ratner, A. E. Roitberg, and R. B. Gerber, J. Chem. Phys. 105, 11261 (1996).
- J. O. Jung and R. B. Gerber, J. Chem. Phys. 105, 11261 (1996).
- G. Chaban, J. O. Jung, and R. B. Gerber,
J. Phys. Chem. A 104, 2772 (2000) . - G. Chaban, J. O. Jung, and R. B. Gerber, J. Chem. Phys. 111, 1823 (1999).
- G. Chaban, J. O. Jung, and R. B. Gerber,
J. Phys. Chem. A 104, 10035 (2000) . - N. Wright and R. B. Gerber, J. Chem. Phys. 112, 2598 (2000).
- J. Olsen, P. Jørgensen, T. Helgaker, and O. Christiansen, J. Chem. Phys. 112, 9736 (2000).
- O. Christiansen, J. Olsen, P. Jørgensen, H. Koch, and P.-Å. Malmqvist,
Chem. Phys. Lett. 261, 369 (1996) . - J. Olsen, O. Christiansen, H. Koch, and P. Jørgensen, J. Chem. Phys. 105, 5082 (1996).
- T. Dunning and K. Petterson, J. Chem. Phys. 108, 4761 (1998).
- P. Knowles, K. Somasundram, N. Handy, and K. Hirao,
Chem. Phys. Lett. 115, 8 (1985) . - T. Helgaker, P. Jørgensen, and J. Olsen, Molecular Electronic Structure Theory (Wiley, New York, 2000).
- W. Laidig, G. Fitzgerald, and R. J. Bartlett,
Chem. Phys. Lett. 113, 151 (1985) . - T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966).
- T. Schucan and H. Weidenmüller,
Ann. Phys. (N.Y.) 73, 108 (1972) . - K. Dietz, C. Schmidt, M. Warken, and B. Hess,
J. Phys. Chem. B 26, 1885 (1993) . - K. Dietz, C. Schmidt, M. Warken, and B. Hess,
J. Phys. Chem. B 26, 1897 (1993) . - O. Christiansen, MidasCpp (Molecular Interactions, Dynamics and Simulation in C + +/Chemistry Program Package) (University of Aarhus, Aarhus C, Denmark, 2003).
- B. O. Roos,
Chem. Phys. Lett. 15, 153 (1972) . - R. McWeeny, Methods of Molecular Quantum Mechanics, 2nd ed. (Academic, London, 1989).
- E. R. Davidson,
J. Comput. Phys. 17, 87 (1975) . - M. H. Beck, A. Jäckle, G. A. Worth, and H.-D. Meyer,
Phys. Rep. 324, 1 (1999) . - M. Henon and C. Heiles,
Astron. J. 69, 73 (1964) . - S. Nordholm and S. Rice, J. Chem. Phys. 61, 203 (1974).
- D. Noid and R. Marcus, J. Chem. Phys. 62, 2119 (1975).
- M. Nest and H.-D. Meyer, J. Chem. Phys. 117, 10499 (2002).
- F. Dyson, Phys. Rev. 85, 631 (1952).
- B. Simon,
Int. J. Quantum Chem. 21, 3 (1982) . - H. Romanowski, J. M. Bowman, and L. B. Harding, J. Chem. Phys. 82, 4155 (1985).
- J. Martin, T. Lee, and P. Taylor,
J. Mol. Spectrosc. 160, 105 (1993) . - D. Burleigh, A. B. McCoy, and E. Sibert, J. Chem. Phys. 104, 480 (1996).
- K. Yagi, C. Oyanagi, T. Taketsugu, and K. Hirao, J. Chem. Phys. 118, 1653 (2003).
- S. Carter, N. Pinnavaia, and N. Handy,
Chem. Phys. Lett. 240, 400 (1995) . - G. Baker, Adv. Theor. Phys. 1, (1965).







