Abstract
Group-theoretical and quantum-chemical investigations of the spectrum of low-lying excited states have been performed by the ROHF and FCI-RAS (Full CI in Restricted Active Space) methods for 3d metal endofullerenes (MEFs) M@C60 (M =Mn, Cr, and Fe) in different charged states. The major purpose of this study is quantum-chemical verification of the anomalous (“non-Bethe’s”) character of splitting of the d N atomic states in an electrostatic field with icosahedral symmetry, predicted previously within the theory of integral invariants theory. The interrelation between the integral invariants theory and the quantumchemical methods applied in this work is considered in detail. Our calculations suggest that the d N atomic states in the icosahedral field generated by fullerene C60 (I h ) on a metal atom (ion) remain non-split for different charged states of the metal and C60. Reasons for this phenomenon and other possible approaches to verification of the prediction are discussed. It is demonstrated that the d N states of the encapsulated metal are split in icosahedral 3d MEFs only under very strong compression of these structures.
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References
A. Hirsch, Principles of Fullerene Reactivity, Topics in Current Chemistry, 199, Springer, Berlin (1999), pp. 1–65.
H. Shinohara, Rep. Prog. Phys., 63, 843–892 (2000).
A. V. Eletskii, Usp. Fiz. Nauk, 170, 113–142 (2000).
B. N. Plakhutin, N. N. Breslavskaya, E. V. Gorelik, and A. V. Arbuznikov, J. Mol. Struct. (tTheochem), 727, 149–157 (2005).
J.-P. Connerade, V. K. Dolmatov, and S. T. Manson, J. Phys. B, 32, L395–L403 (1999).
A. L. Buchachenko, J. Phys. Chem. B, 105, 5839–5846 (2001).
B. N. Plakhutin and R. Carb-Dorca, Phys. Lett. A, 267, 370–378 (2000); 279, 102–103 (2001).
A. H. H. Chang, W. C. Ermler, and R. M. Pitzer, J. Chem. Phys., 94, 5004–5010 (1991).
C. C. J. Roothaan, Rev. Mod. Phys., 32, 179–185 (1960).
B. N. Plakhutin, Reviews of Modern Quantum Chemistry, K. D. Sen (ed.), World Scientific, Singapore (2002), pp. 16–42.
J. C. Slater, Quantum Theory of Atomic Structure, Vols. I and II, McGraw-Hill, New York (1960).
G. Racah, Phys. Rev., 61, 186–197 (1942).
B. N. Plakhutin, Chem. Phys. Lett., 227, 396–400 (1994).
B. N. Plakhutin “Theory of non-Roothaan states in open-shells systems of high symmetry,” Physical and Mathematical Sciences Doctoral Dissertation, Moscow State University, Moscow (1995).
B. N. Plakhutin, Zh. Strukt. Khim., 39, No. 1, 3–17 (1998).
B. N. Plakhutin, ibid., No. 2, 183–195.
B. R. Judd and E. Lo, J. Phys. B, 32, 1073–1086 (1999).
B. R. Judd and E. Lo, J. Chem. Phys., 111, 5706–5729 (1999).
H. A. Jahn, Acta Crystallogr., 2, 30–33 (1949).
H. A. Bethe, Ann. Phys., 3, 133–208 (1929).
I. B. Bersuker, Electronic Structure and Properties of Coordination Compounds [in Russian], Khimiya, Leningrad (1976).
B. N. Plakhutin, J. Chem. Phys., 119, 11429–11436 (2003).
A. J. H. Wachters, ibid., 52, 1033–1036 (1970).
A. J. H. Wachters, IBM Tech. Rept. RJ584 (1969).
C. W. Bauschlicher, S. R. Jr. Langhoff, and L. A. Barnes, J. Chem. Phys., 91, 2399 (1989).
J. C. Greer, Chem. Phys. Lett., 326, 567–572 (2000).
M. J. Frisch, G. W. Trucks, H. B. Schlegel, et al., Gaussian-98, Revision A.I 1, Pittsburgh, PA (2001).
M. Peterson and R. Pourier, Monstergauss-92, Univ. Toronto, Newfoundland.
B. N. Plakhutin, G. M. Zhidomirov, and A. V. Arbuznikov, Int. J. Quant. Chem., 41, 311–325 (1992).
B. N. Plakhutin and A. V. Arbuznikov, Zh. Strukt. Khim., 38, No. 4, 605–615 (1997).
V. P. Vysotsky and B. N. Plakhutin, Book of Abstracts, 8th Session of the V. A. Fock School on Quantum and Computational Chemistry, Novgorod (2004), p. 77.
M. W. Schmidt, K. K. Baldridge, J. A. Boatz, et al., J. Comput. Chem., 14, 1347 (1993).
T. A. Koopmans, Physica, 1, 104 (1934).
I. S. Grigoriev and E. Z. Meilikhov (eds.), Physical Quantities. Handbook [in Russian], Energoatomizdat, Moscow (1991), pp. 412–413.
M. Hamermesh, Group Theory and its Application to Physical Problems, Addison-Wesley, Reading, MA (1962).
J. A. Larsson, J. C. Greer, W. Harneit, and A. Weidinger, J. Chem. Phys., 116, 7849–7854 (2002).
A. V. Nikolaev and K. H. Mitchel, ibid., 117, 4761–4776.
A. J. Ermilov, A. V. Shcherbinin, V. I. Pupyshev, and N. F. Stepanov, Vestn. Mosk. Gos. Univ., Ser. 2. Khim., 37, No. 3, 215–223 (1996).
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Original Russian Text Copyright © 2005 by E. V. Gorelik and B. N. Plakhutin
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Translated from Zhurnal Strukturnoi Khimii, Vol. 46, No. 5, pp. 799–812, September–October, 2005.
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Gorelik, E.V., Plakhutin, B.N. Splitting of the d N atomic states in icosahedral 3d metal endofullerenes M@C60 . J Struct Chem 46, 771–782 (2005). https://doi.org/10.1007/s10947-006-0200-4
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DOI: https://doi.org/10.1007/s10947-006-0200-4