Gaussian basis sets for use in correlated molecular calculations. IV. Calculation of static electrical response properties
J. Chem. Phys. 100, 2975 (1994); doi:10.1063/1.466439
Issue Date: 15 February 1994
You are not logged in to this journal. Log in
An accurate description of the electrical properties of atoms and molecules is critical for quantitative predictions of the nonlinear properties of molecules and of long-range atomic and molecular interactions between both neutral and charged species. We report a systematic study of the basis sets required to obtain accurate correlated values for the static dipole (
1), quadrupole (
2), and octopole (
3) polarizabilities and the hyperpolarizability (
) of the rare gas atoms He, Ne, and Ar. Several methods of correlation treatment were examined, including various orders of Moller–Plesset perturbation theory (MP2, MP3, MP4), coupled-cluster theory with and without perturbative treatment of triple excitations [CCSD, CCSD(T)], and singles and doubles configuration interaction (CISD). All of the basis sets considered here were constructed by adding even-tempered sets of diffuse functions to the correlation consistent basis sets of Dunning and co-workers. With multiply-augmented sets we find that the electrical properties of the rare gas atoms converge smoothly to values that are in excellent agreement with the available experimental data and/or previously computed results. As a further test of the basis sets presented here, the dipole polarizabilities of the F− and Cl− anions and of the HCl and N2 molecules are also reported.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
1), quadrupole (
2), and octopole (
3) polarizabilities and the hyperpolarizability (
) of the rare gas atoms He, Ne, and Ar. Several methods of correlation treatment were examined, including various orders of Moller–Plesset perturbation theory (MP2, MP3, MP4), coupled-cluster theory with and without perturbative treatment of triple excitations [CCSD, CCSD(T)], and singles and doubles configuration interaction (CISD). All of the basis sets considered here were constructed by adding even-tempered sets of diffuse functions to the correlation consistent basis sets of Dunning and co-workers. With multiply-augmented sets we find that the electrical properties of the rare gas atoms converge smoothly to values that are in excellent agreement with the available experimental data and/or previously computed results. As a further test of the basis sets presented here, the dipole polarizabilities of the F− and Cl− anions and of the HCl and N2 molecules are also reported.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
| History: | Received 7 September 1993; accepted 8 November 1993 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/100/2975/1 |
KEYWORDS and PACS
GAUSS FUNCTION,
ATOMS,
MOLECULES,
ELECTRICAL PROPERTIES,
INTERACTION RANGE,
DIPOLES,
QUADRUPOLES,
POLARIZABILITY,
NONLINEAR OPTICS,
HELIUM,
NEON,
ARGON,
PERTURBATION THEORY,
ELECTRON CORRELATION,
FLUORINE IONS,
ANIONS,
CHLORINE IONS,
HYDROCHLORIC ACID,
NITROGEN MOLECULES
- 31.20.Tz
Electronic structure of atoms and molecules: theory Specific calculations and results Electron correlation and CI calculations - 31.20.Sy
Electronic structure of atoms and molecules: theory Specific calculations and results Density functional methods (local density approximation, local spin density approximation), X methods - 42.65.An
Optics Nonlinear optics Optical susceptibility, hyperpolarizability - YEAR: 1994
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (47)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- (a) T. H. Dunning, Jr., J. Chem. Phys. 90, 1007 (1989);
- D. E. Woon and T. H. Dunning, Jr., J. Chem. Phys. 99, 1914 (1993);
- L. I. Schiff, Quantum Mechanics, 3rd Ed. (McGraw-Hill, New York, 1968), p. 263ff.
- S. Svanberg, Atomic and Molecular Spectroscopy: Basic Aspects and Practical Applications, 2nd Ed. (Springer-Verlag, Berlin, 1992), p. 56ff.
- G. C. Maitland, M. Rigby, E. B. Smith, and W. A. Wakeham, Intermolecular Force:s Their Origin and Determination (Clarendon, Oxford, 1981);
- N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976), p. 539ff.
- C. Girard, X. Bouju, and C. Joachim,
Chem. Phys. 168, 203 (1992 ). - S. S. Xantheas and T. H. Dunning, Jr.,
J. Phys. Chem. 97, 18 (1993 ). - D. Feller, J. Chem. Phys. 96, 6104 (1992);
- D. E. Woon,
Chem. Phys. Lett. 204, 29 (1993 );
D. E. Woon, J. Chem. Phys. 100, 2838 (1994). - K. Jankowski, R. Becherer, P. Scharf, H. Schiffler, and R. Ahlrichs, J. Chem. Phys. 82, 1413 (1985);
- X = D (double), T (triple), Q (quadruple), or 5 (quintuple). Sets of sextuple zeta quality (cc-pV6Z) and augmented sextuple zeta quality (aug-cc-pV6Z) have been determined for hydrogen and have been used to study the transition state and barrier height of the H+H2 reaction [K. A. Peterson, D. E. Woon, and T. H. Dunning, Jr., J. Chem. Phys. (to be published)].
- D. Feller, J. Chem. Phys. 98, 7059 (1993).
- C. E. Dykstra, Ab initio Calculation of the Structures and Properties of Molecules (Elsevier, Amsterdam, 1988), p. 147ff.
- D. M. Bishop and J. Pipin,
Int. J. Quantum Chem. 45, 349 (1993 ). - D. M. Bishop, private communication.
- A. D. McLean and M. Yoshimine, J. Chem. Phys. 47, 1927 (1967).
- P. R. Taylor, T. J. Lee, J. E. Rice, and J. Almlof,
Chem. Phys. Lett. 163, 359 (1989 ); - MOLPRO92 is a suite of programs written by H.-J. Werner and P. J. Knowles with contributions by J. Almlöf, R. D. Amos, M. Deegan, S. T. Elbert, C. Hampel, W. Meyer, K. A. Peterson, R. M. Pitzer, E.-A. Reinsch, A. J. Stone, and P. R. Taylor.
- C. Hampel, K. A. Peterson, and H.-J. Werner,
Chem. Phys. Lett. 190, 1 (1992 );
perturbative triples implemented by M. Deegan and P. J. Knowles. - K. Raghavachari, G. W. Trucks, J. A. Pople, and M. Head-Gordon,
Chem. Phys. Lett. 157, 479 (1989 ). - A. Kumar and W. J. Meath,
Can. J. Chem. 63, 1616 (1985 ). - D. P. Shelton,
Chem. Phys. Lett. 195, 591 (1992 ). - J. E. Rice, P. R. Taylor, T. I. Lee, and J. Almlof, J. Chem. Phys. 94, 4972 (1991).
- J. E. Rice, G. E. Scuseria, T. J. Lee, P. R. Taylor, and J. Almlof,
Chem. Phys. Lett. 191, 23 (1992 ). - I. Cernusak, G. H. F. Diercksen, and A. J. Sadlej, Phys. Rev. A 33, 814 (1986).
- G. Maroulis and A. J. Thakkar,
Chem. Phys. Lett. 156, 87 (1989 ). - D. P. Chong and S. R. Langhoff, J. Chem. Phys. 93, 570 (1990).
- O. Christiansen and P. Jørgensen,
Chem. Phys. Lett. 207, 367 (1993 ). - D. M. Bishop and S. M. Cybulski,
Chem. Phys. Lett. 211, 255 (1993 ). - M. B. Doran,
J. Phys. B 7, 558 (1974 ). - R. P. McEachran, A. G. Ryman, and A. D. Staufifer,
J. Phys. B 10, L681 (1977 ). - F. Visser, P. E. S. Wormer, and W. P. J. H. Jacobs, J. Chem. Phys. 82, 3753 (1985).
- D. M. Bishop and M. Rérat, J. Chem. Phys. 91, 5489 (1989).
- D. P. Shelton, Phys. Rev. A 42, 2578 (1990).
- V. Mizrahi and D. P. Shelton, Phys. Rev. Lett. 55, 696 (1985).
- I. Cernusak, G. H. F. Diercksen, and A. Sadlej,
Chem. Phys. Lett. 128, 18 (1986 ). - G. Maroulis and D. M. Bishop,
J. Phys. B 18, 4675 (1985 ). - M. Bulski, P. E. S. Wormer, and A. van der Avoird, J. Chem. Phys. 94, 491 (1991).
- N. C. Pyper, C. G. Pike, and P. P. Edwards,
Mol. Phys. 76, 353 (1992 ). - C. Nelin, B. O. Roos, A. J. Sadlej, and P. E. M. Siegbahn, J. Chem. Phys. 77, 3607 (1982).
- G. H. F. Diercksen and A. J. Sadlej,
Chem. Phys. Lett. 84, 390 (1981 ). - V. Kellö, B. O. Roos, and A. J. Sadlej,
Theor. Chim. Acta 74, 185 (1988 ). - A. D. Buckingham, M. P. Bogaard, D. A. Dunmur, C. P. Hobbs, and B. J. Orr,
Trans. Faraday Soc. 66, 1548 (1970 ). - G. Maroulis and A. J. Thakkar, J. Chem. Phys. 88, 7623 (1988).
- H. Sekino and R. J. Bartlett, J. Chem. Phys. 98, 3022 (1993).
- B. L. Hammond and J. E. Rice, J. Chem. Phys. 97, 1138 (1992).
(c) D. E. Woon and T. H. Dunning, Jr., ibid. , 98, 1358 (1993).
P. Isnard, D. Robert, and L. Galatry,
A. Zangwill, Physics at Surfaces (Cambridge University, Cambridge, 1988), Chap. 8.
J. E. Del Bene,
R. Becherer and R. Ahlrichs,








