Block correlated coupled cluster method with the complete active-space self-consistent-field reference function: Applications for low-lying electronic excited states
J. Chem. Phys. 131, 174101 (2009); doi:10.1063/1.3256297
Published 2 November 2009
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Block correlated coupled cluster (BCCC) method with the complete active-space (CAS) self-consistent-field reference function (CAS-BCCC) has been applied to investigate the vertical excitation energies of low-lying valence excited states in a number of medium-sized organic molecules, including unsaturated aliphatic hydrocarbons (ethene, E-butadiene, cyclopropene, and cyclopentadiene), aromatic heterocycles (furan and pyrrole), and carbonyl compounds (formaldehyde, acetone, and formamide). An approximate CAS-BCCC with the cluster operator truncated up to the four-block correlation level, CAS-BCCC4, is employed in the calculations. The results are compared with those from the multireference configuration interaction with singles and doubles (MR-CISD and its corrected version, MR-CISD+Q), the complete active space with second-order perturbation theory (CASPT2), and CC3. Our results show that the overall performance of CAS-BCCC4 is competitive with that of the multistate CASPT2 (slightly inferior to MR-CISD+Q), better than that of the single-state CASPT2 and MR-CISD approaches. For triplet excited states, various methods tend to give relatively consistent predictions. However, for singlet excited states, various methods lead to quite different excitation energies in some cases.
©2009 American Institute of Physics
| History: | Received 1 July 2009; accepted 9 October 2009; published 2 November 2009 |
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http://link.aip.org/link/?JCPSA6/131/174101/1 |
KEYWORDS and PACS
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (121)
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- L. Serrano-Andrés and M. Merchán,
J. Mol. Struct.: THEOCHEM 729, 99 (2005) . - B. O. Roos, P. Linse, P. E. M. Siegbahn, and M. R. A. Blomberg,
Chem. Phys. 66, 197 (1982) . - K. Andersson, P. -Å. Malmqvist, B. O. Roos, A. J. Sadlej, and K. Wolinski,
J. Phys. Chem. 94, 5483 (1990) . - K. Andersson, P. -Å. Malmqvist, and B. O. Roos, J. Chem. Phys. 96, 1218 (1992).
- J. Finley, P. -Å. Malmqvist, B. O. Roos, and L. Serrano-Andrés,
Chem. Phys. Lett. 288, 299 (1998) . - K. Hirao,
Chem. Phys. Lett. 190, 374 (1992) . - K. Hirao,
Chem. Phys. Lett. 196, 397 (1992) . - K. Hirao,
Chem. Phys. Lett. 201, 59 (1993) . - K. Hirao,
Int. J. Quantum Chem. 44, 517 (1992) . - H. Nakano, J. Chem. Phys. 99, 7983 (1993).
- J. L. Heully and J. P. Malrieu,
Chem. Phys. Lett. 199, 545 (1992) . - J. P. Malrieu, I. Nebot-Gil, and J. Snachez-Marin, J. Chem. Phys. 100, 1440 (1994).
- I. Nebot-Gil, J. Sanchez-Marin, J. P. Malrieu, J. L. Heully, and D. Maynau, J. Chem. Phys. 103, 2576 (1995).
- B. Jeziorski and H. J. Monkhorst, Phys. Rev. A 24, 1668 (1981).
- U. Kaldor,
Theor. Chim. Acta 80, 427 (1991) . - C. M. L. Rittby and R. J. Bartlett,
Theor. Chim. Acta 80, 469 (1991) . - D. E. Bernholdt and R. J. Bartlett,
Adv. Quantum Chem. 34, 271 (1999) . - D. Mukherjee and S. Pal,
Adv. Quantum Chem. 20, 291 (1989) . - M. Hanrath, J. Chem. Phys. 123, 084102 (2005).
- M. Musial, L. Meissner, S. A. Kucharski, and R. J. Bartlett, J. Chem. Phys. 122, 224110 (2005).
- L. Adamowicz, J. P. Malrieu, and V. V. Ivanov, J. Chem. Phys. 112, 10075 (2000).
- V. V. Ivanov and L. Adamowicz, J. Chem. Phys. 112, 9258 (2000).
- J. Olsen, J. Chem. Phys. 113, 7140 (2000).
- H. J. Monkhorst, Int. J. Quantum Chem. S11, 421 (1977).
- E. Dalgaard and H. J. Monkhorst, Phys. Rev. A 28, 1217 (1983).
- T. Helgaker and P. Jørgensen,
Adv. Quantum Chem. 19, 183 (1988) . - H. Koch, H. J. Aa Jensen, P. Jørgensen, and T. Helgaker, J. Chem. Phys. 93, 3345 (1990).
- D. Mukherjee and P. K. Mukherjee,
Chem. Phys. 39, 325 (1979) . - B. Datta and D. Mukherjee, Chem. Phys. Lett. 176, 468 (1991).
- B. Datta, P. Sen, and D. Mukherjee,
J. Phys. Chem. 99, 6441 (1995) . - S. Chattopadhyay, U. S. Mahapatra, and D. Mukherjee, J. Chem. Phys. 112, 7939 (2000).
- H. Nakatsuji and K. Hirao, J. Chem. Phys. 68, 2053 (1978).
- H. Nakatsuji,
Chem. Phys. Lett. 59, 362 (1978) . - H. Nakatsuji,
Chem. Phys. Lett. 67, 329 (1979) . - H. Nakatsuji,
Chem. Phys. Lett. 67, 334 (1979) . - H. Nakatsuji, J. Chem. Phys. 83, 713 (1985).
- H. Nakatsuji, J. Chem. Phys. 83, 5743 (1985).
- T. Nakajima and H. Nakatsuji,
Chem. Phys. Lett. 280, 79 (1997) . - T. Nakajima and H. Nakatsuji,
Chem. Phys. 242, 177 (1999) . - H. Sekino and R. J. Bartlett,
Int. J. Quantum Chem. 26, 255 (1984) . - P. Piecuch and R. J. Bartlett,
Adv. Quantum Chem. 34, 295 (1999) . - J. F. Stanton and R. J. Bartlett, J. Chem. Phys. 98, 7029 (1993).
- J. Geertsen, M. Rittby, and R. J. Bartlett,
Chem. Phys. Lett. 164, 57 (1989) . - D. C. Comeau and R. J. Bartlett,
Chem. Phys. Lett. 207, 414 (1993) . - J. D. Watts and R. J. Bartlett,
Chem. Phys. Lett. 233, 81 (1995) . - J. D. Watts and R. J. Bartlett,
Chem. Phys. Lett. 258, 581 (1996) . - M. Musial and R. J. Bartlett, J. Chem. Phys. 127, 024106 (2007).
- K. Kowalski and P. Piecuch, J. Chem. Phys. 113, 8490 (2000).
- K. Kowalski and P. Piecuch, J. Chem. Phys. 115, 643 (2001).
- P. Piecuch, K. Kowalski, I. S. O. Primienta, and M. J. McGuire,
Int. Rev. Phys. Chem. 21, 527 (2002) . - K. Kowalski and P. Piecuch, J. Chem. Phys. 120, 1715 (2004).
- M. Wloch, J. R. Gour, K. Kowalski, and P. Piecuch, J. Chem. Phys. 122, 214107 (2005).
- K. Kowalski,
Chem. Phys. Lett. 411, 306 (2005) . - M. Schreiber, M. R. Silva-Junior, S. P. A. Sauer, and W. Thiel, J. Chem. Phys. 128, 134110 (2008).
- M. R. Silva-Junior, M. Schreiber, S. P. A. Sauer, and W. Thiel, J. Chem. Phys. 129, 104103 (2008).
- S. P. A. Sauer, M. Schreiber, M. R. Silva-Junior, and W. Thiel,
J. Chem. Theory Comput. 5, 555 (2009) . - S. Li, J. Chem. Phys. 120, 5017 (2004).
- T. Fang and S. Li, J. Chem. Phys. 127, 204108 (2007).
- J. Shen, T. Fang, W. Hua, and S. Li,
J. Phys. Chem. A 112, 4703 (2008) . - T. Fang, J. Shen, and S. Li, J. Chem. Phys. 128, 224107 (2008).
- J. Shen, T. Fang, S. Li, and Y. Jiang,
J. Phys. Chem. A 112, 12518 (2008) . - J. Shen, T. Fang, and S. Li,
Sci. China, Ser. B: Chem. 51, 1197 (2008) . - J. Shen, T. Fang, S. Li, and Y. Jiang, Chem. J. Chin. Iniv. 29, 2341 (2008).
- J. Shen, T. Fang, and S. Li, Progress in Theoretical Chemistry and Physics, Frontiers in Quantum Systems in Chemistry Physics, Vol. 19, edited by P. Piecuch, S. Wilson, P. J. Grout, J. Maruani, and G. Delgado-Barrio (Springer, Berlin, 2009).
- T. Fang, J. Shen, and S. Li, J. Chem. Phys. 129, 234106 (2008).
- H. -J. Werner,
Mol. Phys. 89, 645 (1996) . - P. Celani and H. -J. Werner, J. Chem. Phys. 112, 5546 (2000).
- H. -J. Werner and E. A. Reinsch, J. Chem. Phys. 76, 3144 (1982).
- H. -J. Werner and P. J. Knowles, J. Chem. Phys. 89, 5803 (1988).
- P. J. Knowles and H. -J. Werner,
Chem. Phys. Lett. 145, 514 (1988) . - P. J. Knowles and H. -J. Werner,
Theor. Chim. Acta 84, 95 (1992) . - S. R. Langhoff and E. R. Davidson,
Int. J. Quantum Chem. 8, 61 (1974) . - E. R. Davidson and D. W. Silver,
Chem. Phys. Lett. 52, 403 (1977) . - MOLPRO, a package of ab initio programs, Version 2006.1, H. -J. Werner, P. J. Knowles, R. Lindh, et al., see http://www.molpro.net.
- A. Schäfer, H. Horn, and R. Ahlrichs, J. Chem. Phys. 97, 2571 (1992).
- M. W. Schmidt, K. K. Baldridge, J. A. Boatz, S. T. Elbert, M. S. Gordon, J. H. Jensen, S. Koseki, N. Matsunaga, K. A. Nguyen, S. J. Su, T. L. Windus, M. Dupuis, and J. A. Montgomery,
J. Comput. Chem. 14, 1347 (1993) . - P. -O. Widmark, P. Å. Malmqvist, and B. O. Roos,
Theor. Chim. Acta 77, 291 (1990) . - L. Serrano-Andrés, M. Merchán, I. Nebot-Gil, R. Lindh, and B. O. Roos, J. Chem. Phys. 98, 3151 (1993).
- L. Serrano-Andrés, B. O. Roos, and M. Merchán,
Theor. Chim. Acta 87, 387 (1994) . - E. H. van Veen,
Chem. Phys. Lett. 41, 540 (1976) . - A. J. Merer and R. S. Mulliken,
Chem. Rev. (Washington, D.C.) 69, 639 (1969) . - C. Petrongolo, R. J. Buenker, and S. D. Peyerimhoff, J. Chem. Phys. 76, 3655 (1982).
- L. E. McMurchie and E. R. Davidson, J. Chem. Phys. 67, 5613 (1977).
- R. Lindh and B. O. Roos,
Int. J. Quantum Chem. 35, 813 (1989) . - O. A. Mosher, W. M. Flicker, and A. Kuppermann,
Chem. Phys. Lett. 19, 332 (1973) . - W. M. Flicker, O. A. Mosher, and A. Kuppermann,
Chem. Phys. 30, 307 (1978) . - R. McDiarmid,
Chem. Phys. Lett. 34, 130 (1975) . - R. McDiarmid, J. Chem. Phys. 64, 514 (1976).
- J. P. Doering and R. McDiarmid, J. Chem. Phys. 73, 3617 (1980).
- I. Sauers, L. A. Grezzo, S. W. Staley, and J. H. Moore, Jr.,
J. Am. Chem. Soc. 98, 4218 (1976) . - M. B. Robin, H. Basch, N. A. Kuebler, K. B. Wiberg, and G. B. Ellison, J. Chem. Phys. 51, 45 (1969).
- D. F. Evans, J. Chem. Soc. 1960, 1735.
- R. D. Frueholz, W. M. Flicker, O. A. Mosher, and A. J. Kuppennan, J. Chem. Phys. 70, 2003 (1979).
- R. McDiarmid, A. Sabljic, and J. P. Doehring, J. Chem. Phys. 83, 2147 (1985).
- W. M. Flicker, O. A. Mosher, and A. Kuppermann, J. Chem. Phys. 64, 1315 (1976).
- E. H. Van Veen,
Chem. Phys. Lett. 41, 535 (1976) . - M. Bavia, F. Bertinelli, C. Taliani, and C. Zauli,
Mol. Phys. 31, 479 (1976) . - K. N. Walzl, C. F. Koerting, and A. Kuppermann, J. Chem. Phys. 87, 3796 (1987).
- M. B. Robin, Higher Excited States of Polyatomic Molecules (Academic, New York, 1985), Vol. 3.
- W. M. St. John III, R. C. Estler, and J. P. Doering, J. Chem. Phys. 61, 763 (1974).
- R. H. Staley, L. B. Harding, W. A. Goddard III, and J. L. Beauchamp,
Chem. Phys. Lett. 36, 589 (1975) . - L. B. Clark,
J. Am. Chem. Soc. 117, 7974 (1995) . - E. B. Nielsen and J. A. Schellman,
J. Phys. Chem. 71, 2297 (1967) . - H. D. Hunt and W. T. Simpson,
J. Am. Chem. Soc. 75, 4540 (1953) . - K. Kaya and S. Nagakura,
Theor. Chim. Acta 7, 117 (1967) . - M. Dallos and H. Lischka, Theor. Chim. Acta 112, 16 (2004).
- Y. J. Bomble, K. W. Sattelmeyer, J. F. Stanton, and J. Gauss, J. Chem. Phys. 121, 5236 (2004).
- H. Nakatsuji, O. Kitao, and T. Yonezawa, J. Chem. Phys. 83, 723 (1985).
- L. Serrano-Andrés, M. Merchán, I. Nebot-Gil, B. O. Roos, and M. Fulscher,
J. Am. Chem. Soc. 115, 6184 (1993) . - H. Nakano, T. Tsuneda, T. Hashimoto, and K. Hirao, J. Chem. Phys. 104, 2312 (1996).
- M. H. Palmer, I. C. Walker, and M. F. Guest,
Chem. Phys. 238, 179 (1998) . - O. Christiansen, J. Gauss, J. Stanton, and P. Jørgensen, J. Chem. Phys. 111, 525 (1999).
- J. Wan, J. Meller, M. Hada, M. Ehara, and H. Nakatsuji, J. Chem. Phys. 113, 7853 (2000).
- R. S. Mulliken, J. Chem. Phys. 66, 2448 (1977).
- P. G. Wilkinson,
Can. J. Phys. 34, 643 (1956) . - D. G. Wilden and J. Comer,
J. Phys. B 13, 1009 (1980) . - R. McDiarmid,
J. Phys. Chem. 84, 64 (1980) . - A. Gedanken, N. A. Kuebler, and M. B. Robin, J. Chem. Phys. 76, 46 (1982).
- B. A. Williams and T. A. Cool, J. Chem. Phys. 94, 6358 (1991).
- R. McDiarmid and A. Sabljic,
J. Phys. Chem. 95, 6455 (1991) . - A. Sabljic, R. McDiarmid, and A. Gedanken,
J. Phys. Chem. 96, 2442 (1992) .








