Abstract
This article reviews the applications of accurate quantum chemical techniques to the study of atomic clusters. In particular, we focus on clusters of the main group elements boron, aluminum, carbon, silicon, phosphorus, and sulfur. Only smaller cluster systems are included since calculations with chemical accuracy are available only for these systems. Particular emphasis is placed on the applications of Gaussian-1 and Gaussian-2 theories. Comparisons with recent experimental values for the binding energies of carbon clusters (C2–C7) and silicon clusters (Si2–Si7) indicate an accuracy of about 0.1-0.2 eV for these methods.
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References
K. Raghavachari and L. A. Curtiss, in Modern Electronic Structure Theory, D. R. Yarkony, Ed. (World Scientific, Singapore, 1994), and references therein.
L. A. Curtiss and K. Raghavachari, in Quantum Mechanical Electronic Structure Calculations with Chemical Accuracy, S. R. Langhoff, Ed. (Kluwer Academic Publishers, Netherlands, 1994), and references therein.
C. W. Bauschlicher and S. R. Langhoff, Science 254, 394 (1991).
Chem. Rev. 86 (1986), Special Issue on Gas Phase Clusters.
Atomic and molecular clusters, E. R. Bernstein, Ed. (Elsevier, Amsterdam, 1990).
The Chemical Physics of Atomic and Molecular Clusters, G. Scoles, Ed. (North-Holland, New York, 1990)}.
Proceedings of the 5th International Meeting on Small Particles and Inorganic Clusters, Z. Phys. D 19-20 (1991).
V. Bonacic-Koutecky, P. Fantucci and J. Koutecky, Chem. Rev. 91, 1035 (1991).
D. C. Parent and S. L. Anderson, Chem. Rev. 92, 1541 (1992).
Physics and Chemistry of Finite Systems: From Clusters to Crystals, Vols. 1-2, P. Jena, S. N. Khanna, and B. K. Rao, Eds., (Kluwer Academic Publishers, Netherlands, 1992).
Proceedings of the 6th International Meeting on Small Particles and Inorganic Clusters, Z. Phys. D 26-26S (1993).
Clusters and Fullerenes, V. Kumar, T. P. Martin, and E. Tosatti, Eds., (World Scientific, Singapore, 1993).
Advances in Metal and Semiconductor Clusters, Vol. 2, M. A. Duncan, Ed. (JAI Press, Greenwich, CT, 1994).
Clusters of Atoms and Molecules, H. Haberland, Ed. (Springer-Verlag, Berlin, 1994).
J. A. Pople, M. Head-Gordon, D. J. Fox, K. Raghavachari, and L. A. Curtiss, J. Chem. Phys. 90, 5622 (1989); L. A. Curtiss, C. Jones, G. W. Trucks, K. Raghavachari, and J. A. Pople J. Chem. Phys. 93, 2537 (1990).
L. A. Curtiss, K. Raghavachari, G. W. Trucks and J. A. Pople, J. Chem. Phys. 94, 7221 (1991).
L. A. Curtiss, K. Raghavachari, and J. A. Pople J. Chem. Phys. 98, 1293 (1993).
L. A. Curtiss, J. E. Carpenter, K. Raghavachari, and J. A. Pople, J. Chem. Phys. 96, 9030 (1992).
L. D. Brown and W. N. Lipscomb, Inorg. Chem. 16, 2989 (1977); “Boron Hydride Chemistry”, E. L. Muetterties, Ed. (Academic, New York, 1975).
A. E. Douglas and G. Herzberg, Can. J. Res. A 18, 165 (1940); W. R. M. Graham and W. Weltner, J. Chem. Phys. 65, 1516 (1976).
J. Berkowitz and W. A. Chupka, J. Chem. Phys. 40, 2735 (1964).
S. Becker and H. J. Dietze, Int. J. Mass Spectrom. Ion. Proc. 73, 157 (1986).
R. Woodward, P. N. Le, M. Temmen, and J. L. Gole, J. Phys. Chem. 91, 2637 (1987).
L. Hanley, J. L. Whitten, and S. L. Anderson, J. Phys. Chem. 92, 5803 (1988); S. A. Ruatta, L. Hanley, and S. L. Anderson, J. Chem. Phys. 91, 226 (1989); P. A. Hintz, S. A. Ruatta, and S. L. Anderson, J. Chem. Phys. 92, 292 (1990).
S. J. La Placa, P. A. Roland, and J. J. Wynne, Chem. Phys. Lett. 190, 163 (1992).
(a) M. Dupuis and B. Liu, J. Chem. Phys. 68, 2902 (1978); (b) P. J. Bruna and J. S. Wright, J. Chem. Phys. 91, 1126 (1989); J. Phys. Chem. 94, 1774 (1990). (c) S. R. Langhoff and C. W. Bauschlicher, J. Chem. Phys. 95, 5882 (1991).
P. W. Deutsch, L. A. Curtiss, and J. A. Pople, Chem. Phys. Lett. 174, 33 (1990).
J. M. L. Martin, J. P. Francois, and R. Gijbels, J. Chem. Phys. 90, 6469 (1989); Chem. Phys. Lett. 189, 529 (1992).
F. Marinelli and A. PcUegatti, Chem. Phys. Lett. 158, 545 (1989).
R. A. Whiteside, “Small Homonuclear Clusters of Beryllium and Boron”, Ph.D. Thesis, Carnegie-Mellon University, Pittsburgh, PA, 1981.
J. Koutecky, G. Pacchioni, G. H. Jeung, and E. C. Hass, Surface Sci. 156, 650 (1985).
H. Kato, K. Yamashita, and K. Morokuma, Chem. Phys. Lett. 190, 361 (1992).
R. Kawai and J. H. Weare, J. Chem. Phys. 95, 1151 (1991); R. Kawai and J. H. Weare, Chem. Phys. Lett. 191, 311 (1992). R. Kawai, M. W. Sung, and J. H. Weare, in “Physics and Chemistry of Finite Systems: From Clusters to Crystals”, P. Jena et al. Eds., Kluwer Academic Publishers, Vol I, 441.
A. C. Tang, Q. S. Li, C. W. Liu, and J. Li, Chem. Phys. Lett. 201, 465 (1993).
I. Boustani (to be published).
M. W. Chase, C. A. Davies, J. R. Downey, D. J. Frurip, R. A. McDonald and A. N. Syverud, JANAF Thermochemical Tables, Third Edition J. Phys. Chem. Ref. Data, Vol. 14, Supplement 1, 1985.
K. P. Huber and G. Herzberg, Constants of Diatomic Molecules (Van Nostrand Reinhold, New York, 1979).
M. Y. Chou and M. L. Cohen, Phys. Lett. A, 113, 420 (1986).
D. M. Cox, D. J. Trevor, R. L. Whetten, E. A. Rohlfing, and A. Kaldor, J. Chem. Phys. 84, 4651 (1986); D. M. Cox, D. J. Trevor, R. L. Whetten, and A. Kaldor, J. Phys. Chem. 92, 421 (1988).
W. A. de Heer, P. Milani, and A. Chatelain, Phys. Rev. Lett. 63, 2834 (1989).
M. F. Jarrold, J. E. Bower, and J. S. Kraus, J. Chem. Phys. 86, 3876 (1987).
L. Hanley, S. A. Ruatta, and S. L. Anderson, J. Chem. Phys. 87, 260 (1987).
G. Gantefor, M. Gausa, K. H. Meiwes-Broer, and H. O. Lutz, Z. Phys. D 9, 253 (1988).
K. J. Taylor, C. L. Pettiette, M. J. Craycraft, O. Cheshnovsky, and R. E. Smalley, Chem. Phys. Lett. 152, 347 (1988).
U. Ray, M. F. Jarrold, J. E. Bower, and J. S. Kraus, Chem. Phys. Lett. 159, 221 (1989); J. Chem. Phys. 91, 2912 (1989).
R. E. Lauchtner, A. C. Harms, and A. W. Castleman, J. Chem. Phys. 94, 1093 (1991).
J. L. Persson, R. L. Whetten, H.-P. Chang, and R. S. Berry, Chem. Phys. Lett. 186, 215 (1991).
K. E. Schriver, J. L. Persson, E. C. Honea, and R. L. Whetten, Phys. Rev. Lett. 64, 2539 (1990).
J. Lerme, M. Pellarin, J. L. Vialle, B. Baguenard, and M. Broyer, Phys. Rev. Lett. 68, 2818 (1992).
T. P. Martin, U. Näher, and H. Schaber, Chem. Phys. Lett. 199, 470 (1992).
M. F. Cai, T. P. Djugan, and V. E. Bondybey, Chem. Phys. Lett. 155, 430 (1989).
J. A. Howard, R. Sutcliffe, J. S. Tse, H. Dahmane, and B. Mile, J. Phys. Chem. 89, 3595 (1985).
Z. Fu, G. W. Lemke, Y. M. Hamrick, S. Taylor, J.-C. Shui, and M. D. Morse, J. Chem. Phys. 88, 3524 (1988).
C. W. Bauschlicher, H. Partridge, S. R. Langhoff, P. R. Taylor, and S. P. Walch, J. Chem. Phys. 86, 7007 (1987); C. W. Bauschlicher, L. A. Barnes, and P. R. Taylor, J. Phys. Chem. 93, 2932 (1989); C. W. Bauschlicher and S. R. Langhoff, J. Chem. Phys. 90, 4627 (1989); S. R. Langhoff and C. W. Bauschlicher, J. Chem. Phys. 92, 1879 (1990).
K. K. Sunil and K. D. Jordan, J. Phys. Chem. 92, 2774 (1988).
U. Meier, S. D. Peyerimhoff, and F. Grein, Z. Phys. D. 17, 209 (1990).
G. Pacchioni and J. Koutecky, Ber. Bunsenges. Phys. Chem. 88, 242 (1984); J. Koutecky, G. Pacchioni, G. H. Jeung, and E. C. Hass, Surface Sci. 156, 650 (1985).
H. Basch, Chem. Phys. Lett. 136, 289 (1987); J. S. Tse, J. Mol. Struc. (Theochem) 165, 21 (1988).
T. H. Upton, Phys. Rev. Lett. 56, 2168 (1986); J. Phys. Chem. 90, 754 (1986); J. Chem. Phys. 86, 7054 (1987).
C. W. Bauschlicher and L. G. M. Pettersson, J. Chem. Phys. 87, 2198 (1987).
K. Jug, H. P. Schluff, H. Kupka, and R. Iffert, J. Comput. Chem. 9, 803 (1988).
H. P. Cheng, R. S. Berry, and R. L. Whetten, Phys. Rev. B 43, 10647 (1991); J.-Y. Yi, D. J. Oh, and J. Bernholc, Phys. Rev. Lett. 67, 1594 (1991).
D. R. Salahub and R. P. Messmer, Phys. Rev. B 16. 2526 (1977); C. W. Bauschlicher and L. G. M. Pettersson, J. Chem. Phys. 84, 2226 (1986); M. C. McHenry, M. E. Eberhart, R. C. O’Handley, and K. H. Johnson, Phys. Rev. Lett. 56, 81 (1986).
L. G. M. Pettersson, C. W. Bauschlicher, and T. Halicioglu, J. Chcm. Phys. 87, 2205 (1987); T. Halicioglu, Z. Phys. D 12, 73 (1989); T. Halicioglu and H. O. Pamuk, Surface Sci. 215, 272 (1989).
R. O. Jones, J. Chem. Phys. 99, 1194 (1993); R. O. Jones, Phys. Rev. Lett. 67, 224 (1991).
K. Raghavachari and L. A. Curtiss (to be published).
Review: W. Weltner and R. Van Zee, Chem. Rev. 89, 1713 (1989).
Acc. Chem. Res. 25, (1992), Special Issue on Fullcrenes.
Buckrninsterfullerenes, W. E. Billups and M. A. Ciufolini, Eds., (VCH Publishers, New York, 1993).
J. Cioslowski, Electronic Structures of Fullerenes and Their Derivatives, (Oxford University Press, Oxford, 1994).
E. A. Rohlfing, D. M. Cox, and A. Kaldor, J. Chem. Phys. 81, 3322 (1984).
H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, and R. E. Smalley, Nature 318, 162 (1985).
M. E. Geusic, M. F. Jarrold, T. J. McIlrath, R. R. Freeman, and W. L. Brown, J. Chem. Phys. 86, 3862 (1987).
S. W. McElvany, B. I. Dunlap, and A. O’Keefe, J. Chem. Phys. 86, 715 (1987); S. W. McElvany, J. Chem. Phys. 89, 2063 (1988); D. C. Parent and S. W. McElvany, J. Am. Chem. Soc. 111, 2393 (1989).
P. P. Radi, T. Bunn, P. R. Kemper, M. Molchan, and M. T. Bowers, J. Chem. Phys. 88, 2809 (1988); P. Radi, M. E. Rincon, M.-T. Hsu, J. Brodbelt-Lustig, P. Kemper, and M. T. Bowers, J. Phys. Chem. 93, 6187 (1989).
S. Yang, K. J. Taylor, M. J. Craycraft, J. Conceicao, C. L. Pettiette, O. Cheshnovsky and R. E. SmaUey, Chem. Phys. Lett. 144, 431 (1988).
W. Kratschmer, L. D. Lamb, K. Fostiropoulos, and D. R. Huffman, Nature 347, 354 (1990).
M. B. Sowa, P. A. Hintz, and S. L. Anderson, J. Chem. Phys. 95, 4719 (1991).
D. W. Arnold, S. E. Bradforth, T. N. Kitsopoulos, and D. M. Neumark, J. Chem. Phys. 95, 8753 (1991); T. N. Kitsopoulos, C. J. Chick, Y. Zhao, and D. M. Neumark, J. Chem. Phys. 95, 5479 (1991); C. C. Arnold, Y. Zhao, T. N. Kitsopoulos, and D. M. Neumark, J. Chem. Phys. 97, 6121 (1992).
C. C. Arnold and D. M. Neumark, in Advances in Metal and Semiconductor Clusters, Vol. III, M. A. Duncan, Ed. (JAI Press, Greenwich, CT, 1994).
R. Ramanathan, J. A. Zimmerman, and J. R. Eyler, J. Chem. Phys. 98, 7838 (1993).
G. von Helden, M. T. Hsu, P. R. Kemper, and M. T. Bowers, J. Chem. Phys. 95, 3835 (1991); G. von Helden, N. G. Gotts, and M. T. Bowers, Science 259, 1300 (1993). G. von Helden, M. T. Hsu, N. G. Gotts, and M. T. Bowers, J. Phys. Chem. 97, 8182 (1993).
J. Hunter, J. Fye, and M. F. Jarrold, Science 260, 784 (1993).
J. R. Heath and R. J. Saykally, in On Clusters and Clustering, P. J. Reynolds, Ed. (North Holland, New York, 1993), pp 7–21, and references therein; K. H. Hinkle, J. J. Keady, and P. F. Bernath, Science, 145, 74 (1991); N. Moazzen-Ahmadi, A. R. W. McKellar, J. Chem. Phys. 98, 7757 (1993); J. R. Heath and R. J. Saykally, J. Chem. Phys. 94, 3271 (1990); P. F. Bernath, K. H. Hinkle, and J. J. Keady, Science 244, 562 (1989); N. Moazzen-Ahmadi, S. D. Flatt, and A. R. W. McKellar, Chem. Phys. Lett. 186, 291 (1991); H. J. Hwang, A. Van Orden, K. Tanaka, E. W. Kuo, J. R. Heath, and R. J. Saykally, Mol. Phys. 79, 769 (1993); J. R. Heath and R. J. Saykally, J. Chem. Phys. 93, 8392 (1990); A. Van Olden, H. J. Hwang, E. W. Kuo, and R. J. Saykally, J. Chem. Phys. 98, 6678 (1993); T. F. Giesen, A. Van Orden, H. J. Hwang, R. S. Fellers, R. A. Provencal, and R. J. Saykally, (to be published).
(a) W. R. M. Graham, K. I. Dismuke, and W. Weltner, Astrophys. J. 204, 301 (1976); (b) R. J. Van Zee, R. F. Ferrante, K. J. Zeringue, W. Weltner, and D. W. Ewing, J. Chem. Phys. 88, 3465 (1988).
A. Faibis, E. P. Kanter, L. M. Tack, E. Bakke, and B. J. Zabransky, J. Phys. Chem. 91, 6445 (1987). Z. Vager and E. P. Kanter, J. Phys. Chem. 93, 7745 (1989).
M. Algranati, H. Feldman, D. Kella, E. Malkin, E. Miklazky, R. Naaman, Z. Vager, and J. Zajfman, J. Chem. Phys. 90, 4617 (1989); Z. Vager, H. Feldman, D. Kella, E. Malkin, E. Miklazky, J. Zajfman, and R. Naaman, Z. Phys. D 19, 413 (1991). H. Feldman, D. KeUa, E. Malkin, E. Miklazky, Z. Vager, and J. Zajfman, J. Chem. Soc. Faraday Trans. 86, 2469 (1990).
G. von Helden, N. G. Gotts, and M. T. Bowers, Chem. Phys. Lett. 212, 241 (1993).
M. Doverstal, B. Lindgren, U. Sassenberg, and H. Yu, Z. Phys. D 19, 447 (1991).
R. S. Urdahl, Y. Bao, and W. M. Jackson, Chem. Phys. Lett. 178, 425 (1991).
(a) K. A. Gingerich, H. C. Finkbeiner, and R. W. Schmude, (to be published); (b) K. A. Gingerich, H. C. Finkbcinei, and R. W. Schmude, Chem. Phys. Lett. 207, 23 (1993); (c) K. A. Gingerich, Chem. Phys. Lett. 196, 245 (1992).
A. Fura, F. Turecek, and F. McLafferty (to be published).
K. S. Pitzer and E. Clementi, J. Am. Chem. Soc. 81, 4477 (1959).
K. Raghavachari and J. S. Binkley, J. Chem. Phys. 87, 2191 (1987); K. Raghavachari, Z. Phys. D 12, 61 (1989).
J. D. Watts and R. J. Bartlett, J. Chem. Phys. 97, 3445 (1992).
J. V. Ortiz and V. G. Zakrzewski, J. Chem. Phys. 100, 6614 (1994).
J. M. L. Martin, J. P. Francois, and R. Gijbels, J. Chem. Phys. 90, 3403 (1989); 93, 8850 (1990); 95, 9420 (1991). J. Comput. Chem. 12, 52 (1991).
K. K. Sunil, A. Orendt, K. D. Jordan, and D. J. DeFrees, Chem. Phys. 89, 245 (1984).
K. Raghavachari, Chem. Phys. Lett. 171, 249 (1990).
R. S. Grev, I. L. Alberts and H. F. Schaefer, J. Phys. Chem. 94, 3379 (1990); 94, 8744 (1990); J. M. L. Martin, J. P. Francois, and R. Gijbels, J. Chem. Phys. 93, 5037 (1990); G. Scuseria, Chem. Phys. Lett. 176, 27 (1991); J. D. Watts, J. F. Stanton, and R. J. Bartlett, J. Chem. Phys. 94, 4320 (1991); P. R. Taylor, J. M. L. Martin, J. P. Francois, and R. Gijbels, J. Phys. Chem. 95, 6530 (1991); J. V. Ortiz, J. Chem. Phys. 97, 7531 (1992).
R. A. Whiteside, R. Krishnan, D. J. DeFrees, J. A. Pople, and P. v. R. Schleyer, Chem. Phys. Lett. 78, 538 (1981); D. H. Magers, R. J. Harrison, and R. J. Bartlett, J. Chem. Phys. 84, 3284 (1986); D. E. Bernholdt, D. H. Magers, and R. J. Bartlett, J. Chem. Phys. 89, 3612 (1988); J. M. L. Martin, J. P. Francois, and R. Gijbels, J. Chem. Phys. 94, 3753 (1991); J. D. Watts, J. Gauss, J. F. Stanton, and R. J. Bartlett, J. Chem. Phys. 97, 8372 (1992).
Z. Slanina, Chem. Phys. Lett. 173, 164 (1990).
L. Adamowicz, Chem. Phys. Lett. 180, 466 (1991). J. V. Ortiz, Chem. Phys. Lett. 216, 319 (1993).
K. Raghavachari, R. A. Whiteside, and J. A. Pople, J. Chem. Phys. 85, 6623 (1986); W. Parasuk and J. Almlöf, J. Chem. Phys. 91, 1137 (1989). L. Adamowicz, Chem. Phys. 182, 45 (1991).
Z. Slanina, Chem. Phys. Lett. 142, 512 (1987); Thermochim. Acta 127, 237 (1988)
G. von Helden, W. E. Palke, and M. T. Bowers, Chem. Phys. Lett. 212, 247 (1993).
Z. Slanina, J. Kurtz, and L. Adamowicz, Chem. Phys. Lett. 196, 208 (1992); Mol. Phys. 76, 387 (1992).
C. Liang and H. F. Schaefer, J. Chem. Phys. 93, 8844 (1990); J. D. Watts and R. J. Bartlett, Chem. Phys. Lett. 190, 19 (1992).
R. E. Honig, J. Chem. Phys. 22, 1610 (1954).
T. P. Martin and H. Schaber, Z. Phys. B 35, 61 (1979); T. P. Martin and H. Schaber, J. Chem. Phys. 83, 855 (1985).
T. T. Tsong, Appl. Phys. Lett. 45, 1149 (1984); T. T. Tsong, Phys. Rev. B 30, 4946 (1984).
L. A. Bloomfield, R. R. Freeman, and W. L. Brown, Phys. Rev. Lett. 54, 2246 (1985); L. A. Bloomfield, M. E. Geusic, R. R. Freeman, and W. L. Brown, Chem. Phys. Lett. 121, 33 (1985).
W. Begemann, K. H. Meiwes-Broer, and H. O. Lutz, Phys. Rev. Lett. 56, 2248 (1986); W. Begemann, S. Dreihöfer, G. Gantetor, H. R. Siekmann, K. H. Meiwes-Broer, and H. O. Lutz, “Elemental and Molecular Clusters”, T. P. Martin, Ed. Springer, Berlin, 1987.
J. R. Heath, Y. Liu, S. C. O’Brien, Q.-L. Zhang, R. F. Curl, F. K. Tittel, and R. E. Smalley, J. Chem. Phys. 83, 5520 (1985); Y. Liu, Q.-L. Zhang, F. K. Tittel, R. F. Curl, and R. E. Smalley, J. Chem. Phys. 85, 7434 (1986); Q.-L. Zhang, Y. Liu, R. F. Curl, F. K. Tittel, and R. E. Smalley, J. Chem. Phys. 88, 1670 (1988).
M. L. Mandich, W. D. Reents, and V. E. Bondybey, J. Phys. Chem. 90, 2315 (1986); W. D. Reents, A. M. Mujsce, V. E. Bondybey and M. L. Mandich, J. Chem. Phys. 86, 5568 (1987).
S. W. McElvany, B. I. Dunlap and A. O’Keefe, J. Chem. Phys. 86, 715 (1987); W. R. Creasy, A. O’Keefe and J. R. McDonald, J. Phys. Chem. 91, 2848 (1987).
J. M. Alford, F. D. Weiss, R. T. Laaksonen and R. E. Smalley, J. Phys. Chem. 90, 4480 (1986); J. L. Elkind, J. M. Alford, F. D. Weiss, R. T. Laaksonen and R. E. Smalley, J. Chem. Phys. 87, 2397 (1987); S. Maruyama, L. R. Anderson, and R. E. Smalley, J. Chem. Phys. 93, 5349 (1990); J. M. Alford, R. T. Laaksonen, and R. E. Smalley, J. Chem. Phys. 94, 2618 (1991).
M. F. Jarrold and J. E. Bower, J. Phys. Chem. 92, 5702 (1988). M. F. Jarrold, J. E. Bower, and K. Creegan, J. Chem. Phys. 90, 3615 (1989). U. Ray and M. F. Jarrold, J. Chem. Phys. 94, 2631 (1991); M. F. Jarrold, Y. Ijiri, and U. Ray, J. Chem. Phys. 94, 3607 (1991).
D. J. Trevor, D. M. Cox, K. C. Reichmann, R. O. Brickman and A. Kaldor, J. Phys. Chem. 91, 2598 (1987). K. Fuke, K. Tsukamoto, and F. Misaizu, Z. Phys. D 26, S 204 (1993).
M. F. Jarrold and V. Constant, Phys. Rev. Lett. 67, 2994 (1991).
K. D. Rinnen and M. L. Mandich, Phys. Rev. Lett. 69, 1823 (1992).
E. C. Honea, A. Ogura, C. A. Murray, K. Raghavachari, W. O. Sprenger, M. F. Jarrold, and W. L. Brown, Nature 366, 42 (1993).
O. Cheshnovsky, S. H. Yang, C. L. Pettiette, M. J. Craycraft, Y. Liu and R. E. Smalley, Chem. Phys. Lett. 138, 119 (1987).
M. R. Nimlos, L. B. Harding, and G. B. Ellison, J. Chem. Phys. 87, 5116 (1987).
(a) T. N. Kitsopoulos, C. J. Chick, Y. Zhao, and D. M. Neumark, J. Chem. Phys. 95, 1441 (1991); (b) C. C. Arnold, T. N. Kitsopoulos, and D. M. Neumark, J. Chem. Phys. 99, 766 (1993); (c) T. N. Kitsopoulos, C. J. Chick, A. Weaver, and D. M. Neumark, J. Chem. Phys. 93, 6108 (1990); (d) C. C. Arnold and D. M. Neumark, J. Chem. Phys. 99, 3353 (1993); (e) C. C. Arnold and D. M. Neumark, J. Chem. Phys. (in press).
(a) R. W. Schmude, Q. Ran, K. A. Gingerich, and J. E. Kingcade, (to be published); (b) R. W. Schmude, Q. Ran, and K. A. Gingerich, J. Chem. Phys. 99, 7998 (1993); (c) Q. Ran, M. Miller, R. W. Schmude, and K. A. Gingerich, (to be published); (d) R. W. Schmude and K. Gingerich (private communication).
For a review on silicon clusters, see: K. Raghavachari, Phase Irans. 24-26, 61 (1990).
W. L. Brown, R. R. Freeman, K. Raghavachari and M. Schlüter, Science 235, 860 (1987).
(a) K. Kirby and B. Liu, J. Chem. Phys. 70, 893 (1979); (b) P. J. Bruna, S. D. Peyerimhoff and R. J. Buenker, J. Chem. Phys. 72, 5437 (1980); (c) C. W. Bauschlicher and S. R. Langhoff, J. Chem. Phys. 87, 2919 (1987).
K. Raghavachari, J. Chem. Phys. 83, 3520 (1985); G. H. F. Diercksen, N. E. Gruner, J. Oddershede and J. R. Sabin, Chem. Phys. Lett. 117, 29 (1985); R. S. Grev and H. F. Schaefer, Chem. Phys. Lett. 119, 111 (1985); R. O. Jones, Phys. Rev. A 32, 2589 (1985); K. Balasubramanian, Chem. Phys. Lett. 125, 400 (1986); D. A. Dixon and J. L. Gole, Chem. Phys. Lett. 188, 560 (1992).
K. Balasubramanian, Chem. Phys. Lett. 135, 283 (1987). L. Adamowicz, Chem. Phys. Lett. 185, 244 (1991); D. G. Dai and K. Balasubramanian, J. Chem. Phys. 96, 8345 (1992); L. Adamowicz, Chem. Phys. Lett. 188, 131 (1992).
C. M. Rohlfing and K. Raghavachari, J. Chem. Phys. 96, 2114 (1992).
(a) K. Raghavachari and V. Logovinsky, Phys. Rev. Lett. 55, 2853 (1985); (b) K. Raghavachari, J. Chem. Phys. 84, 5672 (1986); (c) K. Raghavachari and C. M. Rohlfing, Chem. Phys. Lett. 143, 428 (1988); (d) K. Raghavachari and C. M. Rohlfing, J. Chem. Phys. 89, 2219 (1988); (e) C. M. Rohlfing and K. Raghavachari, Chem. Phys. Lett. 167, 559 (1990); (f) K. Raghavachari and C. M. Rohlfing, J. Chem. Phys. 94, 3670 (1991).
L. A. Curtiss, P. W. Deutsch, and K. Raghavachari, J. Chem. Phys. 96, 6868 (1992).
G. Pacchioni and J. Koutecky, J. Chem. Phys. 84, 3301 (1986). G. Pacchioni and J. Koutecky, in Physics and Chemistry of Small Clusters; P. Jena, B. K. Rao, and S. N. Khanna, Eds., (Plenum Press: New York, 1987) pp. 439.
C. H. Patterson and R. P. Messmer, Phys. Rev. B, 42, 7530 (1990). R. P. Messmer and C. H. Patterson, Chem. Phys. Lett. 192, 277 (1992).
W. von Niessen and V. G. Zakrzewski, J. Chem. Phys. 98, 1271 (1993).
D. Tomzanek and M. Schluter, Phys. Rev. Lett. 56, 1055 (1986); D. Tomzanek and M. Schluter, Phys. Rev. B 36, 1208 (1987).
P. Ballone, W. Andreoni, R. Car and M. Parrinello, Phys. Rev. Lett. 60, 271 (1988). W. Andreoni and G. Pastore, Phys. Rev. B 41, 10243 (1990). U. Rothlisberger, W. Andreoni, and P. Giannozzi, J. Chem. Phys. 96, 1248 (1992).
R. Founder, S. B. Sinnott, and A. DePristo, J. Chem. Phys. 97, 4149 (1992).
E. Kaxiras and K. Jackson, Phys. Rev. Lett. 71, 727 (1993).
K. Jug, H.-P. Schluff, H. Kupka, and R. Iffert, J. Comput. Chem. 9, 803 (1988); H. Kupka and K. Jug, Chem. Phys. 130, 23 (1989); H. J. Nolte and K. Jug, J. Chem. Phys. 93, 2584 (1990). K. Jug and M. Krack, Int. J. Quant. Chem. 44, 517 (1992); K. Jug and M. Krack, Chem. Phys. 173, 439 (1993).
J. C. Phillips, Chem. Rev. 86, 619 (1986).
F. H. Stillinger and T. A. Weber, Phys. Rev. B 31, 5262 (1985); R. Biswas and D. R. Hamann, Phys. Rev. Lett. 55, 2001 (1985); Phys. Rev. B 36, 6434 (1987). J. Tersoff, Phys. Rev. Lett. 56, 632 (1986); B. W. Dodson, Phys. Rev. B 35, 2795 (1987); A. D. Mistriotis, N. Flytzanis, and S. C. Farantos, Phys. Rev. B 39, 1212 (1989). B. C. Bolding and H. C. Andersen, Phys. Rev. B 41, 10568 (1990). H.-X. Wang and R. P. Messmer, Phys. Rev. B 41, 5306 (1990).
S. Saito, S. Ohnishi and S. Sugano, Phys. Rev. B33, 7036 (1986); E. Blaisten-Barojas and D. Levesque, Phys. Rev. B 34, 3910 (1986); B. Feuston, R. Kalia and P. Vashishta, Phys. Rev. B 35, 6222 (1987); 37, 6297 (1988); D. A. Jelski, Z. C. Wu, and T. F. George, Chem. Phys. Lett. 150, 447 (1988); J. R. Chelikowsky and R. Redwing, Solid State Commun. 64, 843 (1987); J. R. Chelikowsky, Phys. Rev. Lett. 25, 2669 (1988); J. R. Chelikowsky, J. C. Phillips, M. Kamal and M. Strauss, Phys. Rev. Lett. 62, 292 (1989).
J. C. Phillips, J. Chem. Phys. 88, 2090 (1988); E. Kaxiras, Chem. Phys. Lett. 163, 323 (1989); E. Kaxiras, Phys. Rev. Lett. 64, 551 (1990); D. A. Jelski, B. L. Swift, T. T. Rantala, X. Xia, and T. F. George, J. Chem. Phys. 95, 8552 (1991); J. Pan and M. V. Ramakrishna (to be published).
T. Slee, L. Zhenyang, and D. M. P. Mingos, Inorg. Chem. 28, 2256, (1989).
J. R. Van Wazer, Phosphorus and its Compounds (Interscience Publishers, New York, 1958).
(a) H. Bock and H. Müller, Inorg. Chem. 23, 4365 (1984); (b) T. P. Martin, Z. Phys. D 3, 211 (1986).
M. F. Guest, I. H. Hillier, and V. R. Saunders, Trans. Far. Soc. 68, 2070 (1972); C. R. Brundie, N. A. Kuebler, M. B. Robin, and H. Basch, Inorg. Chem. 11, 20 (1972); R. Osman, P. Coffey, and J. R. Van Wazer, Inorg. Chem. 15, 287 (1976); E. Fluck, C. M. E. Pavlidou, and R. Janoschek, Phosphorus Sulfur 6, 469 (1979); G. Trinquier, J.-P. Malrieu, and J.-P. Daudey, Chem. Phys. Lett. 80, 552 (1981).
E. A. Halevi, H. Bock, and B. Roth, Inorg. Chem. 23, 4376 (1984). C. Baird, Can. J. Chem. 62, 341 (1984).
K. Raghavachari, R. C. Haddon, and J. S. Binkley, Chem. Phys. Lett. 122, 219 (1985); M. W. Schmidt and M. S. Gordon, Inorg. Chem. 24, 4503 (1985); G. Trinquier, J.-P. Daudey, and N. Komiha, J. Am. Chem. Soc. 107, 7210 (1985); R. Ahlrichs, S. Brode, and C. Ehrhardt, J. Am. Chem. Soc. 107, 7260 (1985); P. Lazzeretti and J. A. Tosseil, J. Phys. Chem. 91, 800 (1987).
S. Nagase and K. Ito, Chem. Phys. Lett. 126, 43 (1986); M. T. Nguyen and A. F. Hegarty, J. Chem. Soc. Chem. Commun. 383 (1986); R. Janoschek, Chem. Ber. 122, 2121 (1989).
R. O. Jones and D. Hohl, J. Chem. Phys. 92, 6710 (1990); R. O. Jones and G. Seifert, J. Chem. Phys. 96, 7564 (1992).
M. Häser, U. Schneider, and R. Ahlrichs, J. Am. Chem. Soc. 114, 9551 (1992).
R. Steudel, Topics in Current Chemistry, 102, 149 (1982); R. Steudel, Studies in Inorganic Chemistry 5, edited by A. Muller and B. Krebs (Elsevier, New York, 1974), pp. 3-37.
J. Berkowitz and J. R. Marquart, J. Chem. Phys. 39, 275 (1963). W. Rosinger, M. Grade and W. Hirschwald, Ber. Bunsenges. Phys. Chem. 87, 536 (1983). P. Lenain, E. Picquenard, J. L. Lesne and J. Corset, J. Mol. Struc. 142, 355 (1986). B. Meyer and T. Stroyer-Hansen, J. Phys. Chem. 76, 3968 (1972). V. W. Genz and P. W. Schenk, Z. Anorg. Alleg. Chem. 379, 300 (1970).
G. D. Brabson, Z. Mielke, and L. Andrews, J. Phys. Chem. 95, 79 (1991); P. Hassanzadeh and L. Andrews, J. Phys. Chem. 96, 6579 (1992).
J. Steidel, J. Pickardt and R. Steudel, Z. Naturforsch. 33B, 1554 (1978). R. Steudel, Spectrochim. Acta 31A, 1065 (1975}). R. Steudel and F. Schuster, J. Mol. Struc. 44, 143 (1978). S. J. Rettig and J. Trotter, Acta Cryst. C43, 2260 (1987). R. Steudel and H.-J. Mausle, Z. Naturforsch. 33A, 951 (1978). R. Reinhardt, R. Steudel and F. Schuster, Angew. Chem. Int. Ed. Engl. 17, 57 (1978). J. Steidel and R. Steudel, J. Chem. Soc., Chem. Commun. 1312 (1982). R. Steudel and D. F. Eggers, Spectrochim. Acta 31A, 879 (1975).
N. C. Baird, J. Comput. Chem. 5, 35 (1984). K. Jug and R. Iffert, J. Mol. Struc. (Theochem) 186, 347 (1989). R. S. Laitinen, B. Randolph and T. A. Pakkanen, J. Comput. Chem. 8, 658 (1987).
J. Kao, Inorg. Chem. 16, 2085 (1977). N. R. Carlsen and H. F. Schaefer, Chem. Phys. Lett. 48, 390 (1977). R. O. Jones, J. Chem. Phys. 84, 318 (1986). J. E. Rice, R. D. Amos, N. C. Handy, T. J. Lee and H. F. Schaefer, J. Chem. Phys. 85, 963 (1986). H. Basch, Chem. Phys. Lett. 157, 129 (1989).
D. A. Dixon and E. Wasserman, J. Phys. Chem. 94, 5772 (1990); G. E. Quelch, H. F. Schaefer, and C. Marsden, J. Am. Chem. Soc. 112, 8719 (1990); W. von Niessen, J. Chem. Phys. 95, 8301 (1991); V. G. Zakrzewski and W. von Niessen (to be published).
J. Kao, Inorg. Chem. 16, 3347 (1977).
Z. S. Herman and K. Weiss, Inorg. Chem. 14, 1592 (1975).
G. L. Carlson and L. G. Pedersen, J. Chem. Phys. 62, 4567 (1975).
D. Hohl, R. O. Jones, R. Car and M. Parrinello, J. Chem. Phys. 89, 6823 (1988).
K. Raghavachari, C. M. Rohlfing, and J. S. Binkley, J. Chem. Phys. 93, 5862 (1990)
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Raghavachari, K., Curtiss, L.A. (1995). Accurate Theoretical Studies of Small Elemental Clusters. In: Langhoff, S.R. (eds) Quantum Mechanical Electronic Structure Calculations with Chemical Accuracy. Understanding Chemical Reactivity, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0193-6_5
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