Abstract
We present static electric dipole polarizabilities α d(Z,N) from numerical nonrelativistic restricted Hartree-Fock (RHF) finite-field calculations for high-spin open-shell S states (L = 0) of atoms and isoelectronic ions with N ≤ 55 electrons. All these S states result from one or more half-filled shells. For eight isoelectronic sequences, those with N = 3, 7, 11, 15, 23, 29, 33 or 41 electrons where the electronic ground state of the neutral or nearly neutral members is conserved upon increase of the nuclear charge number Z, polarizability data are given for ions with charge number Q = Z − N up to Q = 90. In addition, these data are represented in terms of rational functions of Q (with absolute value of the relative error of the fit always below 4%). The rational functions are comparable to the classical nonrelativistic result α d(Z,1) = 4.5 / Z 4 = 4.5 / (Q + 1)4 for the polarizability of the 2S ground state of a hydrogen-like system. Our results also contribute to constitute a reference database (i) for algebraic approaches relying on basis functions, and (ii) for the discussion of relativistic and correlation effects on polarizabilities along isoelectronic sequences.
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References
K.D. Bonin, V.V. Kresin, Electric-Dipole Polarizabilities of Atoms, Molecules and Clusters (World Scientific, Singapore, 1997)
P. Schwerdtfeger, in Atoms, Molecules and Clusters in Electric Fields, Theoretical Approaches to the Calculation of Electric Polarizability, edited by G. Maroulis (Imperial College Press, London, 2006), p. 1
A.J. Thakkar, C. Lupinetti, in Atoms, Molecules and Clusters in Electric Fields, Theoretical Approaches to the Calculation of Electric Polarizability, edited by G. Maroulis (Imperial College Press, London, 2006), p. 505
J. Mitroy, M.S. Safronova, C.W. Clark, J. Phys. B 43, 202001 (2010)
L.G. Gray, X. Sun, K.B. MacAdam, Phys. Rev. A 38, 4985 (1988)
R.A. Komara, M.A. Gearba, C.W. Fehrenbach, S.R. Lundeen, J. Phys. B 38, S87 (2005)
K.L. Burns, D. Bellert, A.W.-K. Leung, W.H. Breckenridge, J. Chem. Phys. 114, 2996 (2001)
D. Bellert, W.H. Breckenridge, Chem. Rev. 102, 1595 (2002)
Atomic and Molecular Beams, edited by R. Campargue (Springer, Berlin, 2001)
Ion Beams in Nanoscience and Technology, edited by R. Hellborg, H.J. Whitlow, Y. Zhang (Springer, Berlin, 2009)
Materials Science with Ion Beams, edited by H. Bernas (Springer, Berlin, 2010)
M. Cohen, Proc. R. Soc. London A 293, 359 (1966)
M. Cohen, G.W.F. Drake, Proc. Phys. Soc. 92, 23 (1967)
M. Cohen, Adv. At. Mol. Phys. 25, 195 (1988)
H.D. Cohen, C.C.J. Roothaan, J. Chem. Phys. 43, S34 (1965)
T. Voegel, J. Hinze, F. Tobin, J. Chem. Phys. 70, 1107 (1979)
J. Stiehler, J. Hinze, J. Phys. B 28, 4055 (1995)
J. Stiehler, Ph.D. thesis, Bielefeld University, 1995
V. Koch, D. Andrae, Int. J. Quantum Chem. 111, 891 (2011)
F. Biegler-König, J. Hinze, J. Comput. Phys. 67, 290 (1986)
D. Andrae, J. Hinze, Int. J. Quantum Chem. 63, 65 (1997)
P.J. Mohr, B.N. Taylor, Rev. Mod. Phys. 77, 1 (2005)
J. Kobus, Comput. Lett. 3, 71 (2007)
S. Fraga, J. Karwowski, K.M.S. Saxena, At. Data Nucl. Data Tables 12, 467 (1973)
S. Fraga, J. Karwowski, K.M.S. Saxena, Handbook of Atomic Data (Elsevier, Amsterdam, 1976), p. 319
S. Fraga, J. Muszyńska, Atoms in External Fields (Elsevier, Amsterdam, 1981), p. 53
J.A. Pople, P. Schofield, Philos. Mag. 2, 591 (1957)
A.J. Sadlej, M. Urban, J. Mol. Struct. Theochem 234, 147 (1991)
I. Miadoková, V. Kellö, A.J. Sadlej, Theor. Chem. Acc. 96, 166 (1997)
I.S. Lim, M. Pernpointner, M. Seth, J.K. Laerdahl, P. Schwerdtfeger, P. Neogrády, M. Urban, Phys. Rev. A 60, 2822 (1999)
B. Kundu, D. Ray, P.K. Mukherjee, Phys. Rev. A 34, 62 (1986)
G. Maroulis, Chem. Phys. Lett. 334, 207 (2001)
V. Kellö, A.J. Sadlej, K. Faegri, Phys. Rev. A 47, 1715 (1993)
I.S. Lim, P. Schwerdtfeger, Phys. Rev. A 70, 062501 (2004)
A.K. Das, D. Ray, P.K. Mukherjee, Theor. Chim. Acta 82, 223 (1992)
S. Canuto, M.A. Castro, P.K. Mukherjee, Phys. Rev. A 49, 3515 (1994)
R. Medeiros, M.A. Castro, O.A.V. Amaral, Phys. Rev. A 54, 3661 (1996)
K. Andersson, A.J. Sadlej, Phys. Rev. A 46, 2356 (1992)
Z. Benkova, A.J. Sadlej, R.E. Oakes, S.E.J. Bell, J. Comput. Chem. 26, 145 (2005)
A. Baranowska, A.J. Sadlej, J. Comput. Chem. 31, 552 (2010)
A.J. Sadlej, Theor. Chim. Acta 79, 123 (1991)
Z. Benkova, A.J. Sadlej, R.E. Oakes, S.E.J. Bell, Theor. Chem. Acc. 113, 238 (2005)
A.J. Sadlej, Theor. Chim. Acta 81, 339 (1992)
P.W. Fowler, A.J. Sadlej, Phys. Rev. A 43, 6386 (1991)
A. Baranowska, M. Siedlecka, A.J. Sadlej, Theor. Chem. Acc. 118, 959 (2007)
A.A. Buchachenko, Proc. R. Soc. London A 467, 1310 (2011)
P. Schwerdtfeger, G.A. Bowmaker, J. Chem. Phys. 100, 4487 (1994)
P. Neogrády, V. Kellö, M. Urban, A.J. Sadlej, Theor. Chim. Acta 93, 101 (1996)
J. Kłos, J. Chem. Phys. 123, 024308 (2005)
M. Iliaš, P. Neogrády, Chem. Phys. Lett. 309, 441 (1999)
G.W.F. Drake, M. Cohen, J. Chem. Phys. 48, 1168 (1968)
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Koch, V., Andrae, D. Static electric dipole polarizabilities for isoelectronic sequences. II. Open-shell S states. Eur. Phys. J. D 67, 139 (2013). https://doi.org/10.1140/epjd/e2013-40191-5
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DOI: https://doi.org/10.1140/epjd/e2013-40191-5