Abstract.
Starting from two cubic pieces of a MgO crystal ((3 x 3 x 3) and (5 x 5 x 5)), both containing a central oxygen atom, two clusters are simulated with the help of a DFT-LDA method. These clusters are charged in order to be equivalent to pieces of a neutral crystal. In each cluster, a neutral vacancy analogous to a F center is created by removing the central oxygen atom. Then, F + and F + + centers are simulated by removing one and two electrons. The main differences and similarities between the two sizes of clusters are studied: geometries, Mulliken charges, electronic distributions, gaps, ionisation potentials. An important result is that in any case, when a F center is simulated, the vacancy does not accept more than about one electron, the second one being spread in the rest of the cluster.
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References
For instance see P. Joyes, Monographie de Physique: Les Agrégats Inorganiques Élémentaires (Éditions de Physique, Paris, 1990)
M.R. Hayns, L. Dissado, Theoret. Chim. Acta 37, 147 (1975)
J.K. Rudra, W. Beall Fowler, Phys. Rev. B 35, 8223 (1987)
W.A. Saunders, Phy. Rev. B 37, 6583 (1988)
W.A. Saunders, Z. Phys. D 12, 601 (1989)
A. Pandey, J.M. Vail, J. Phys. Cond. Matt. 1, 2801 (1989)
R.W. Grimes, R.A. Catlow, A. Marshall Stoneham, J. Chem. Soc. Faraday Transl. 2 85, 485 (1989)
J.M. Vail, J. Phys. Chem. Sol. 51, 589 (1990)
P.J. Ziemann, A.W. Castleman Jr, J. Chem. Phys. 94, 718 (1991)
P.J. Ziemann, A.W. Castleman Jr, Phys. Rev. B 44, 6488 (1991)
P.J. Ziemann, A.W. Castleman Jr, Z.Phys. D 20, 97 (1991)
A.V. Bezel’, V.A. Lobach, Sov. Phys. Sol. State 33, 744 (1991)
C. Bréchignac, Ph. Cahuzac, F. Carlier, M. de Frutos, J. Leygnier, J.Ph. Roux, J. Chem. Phys. 99, 6848 (1993)
J.M. Recio, R. Pandey, A. Ayuela, A.B. Kunz, J. Chem. Phys. 98, 4783 (1993)
J.M. Recio, R. Pandey, Phys. Rev. A 47, 2075 (1993)
G. Pacchioni, C. Sousa, F. Illas, F. Parmigiani, P.S. Bagus, Phys. Rev. B 48, 11573 (1993)
S. Veliah, R. Pandey, Y.S. Li, J.M. Newsam, B. Vessal, Chem. Phys. Lett. 235, 53 (1995)
A. Gibson, R. Haydock, J.P. LaFemina, Phys. Rev. B 50, 2582 (1994)
A.-M. Ferrari, G. Pacchioni, J. Phys. Chem. 99, 17010 (1995)
W.C. Mackrodt, R.F. Stewart, J. Phys. C 10, 1431 (1977)
E. Scorza, U. Birkenheuer, C. Pisani, J. Chem. Phys. 107, 9645 (1997)
F. Illas, G. Pacchioni, J. Chem. Phys. 108, 7835 (1998)
S. Veliah, Kai-hua Xiang, R. Pandey, J.M. Recio, J.M. Newsam, J. Phys. Chem. B 102, 1126 (1998)
P.V. Sushko, A.L. Shluger, C. Pichard, A. Catlow, Surf. Sci. 450, 153 (2000)
A.C. Pineda, S.P. Karna, J. Phys. Chem. A 104, 4699 (2000)
C. Coudray, G. Blaise, M.J. Malliavin, Eur. Phys. J. D 11, 127 (2000)
M.J. Malliavin, C. Coudray, J. Chem. Phys. 106, 2323 (1997)
B.M. Klein, W.E. Pickett, L.L. Boyer, R. Zeller, Phys. Rev. B 35, 5802 (1987)
Q.S. Wang, N.A.W. Holzwarth, Phys. Rev. B 41, 3211 (1990)
A. De Vita, M.J. Gillan, J.S. Lin, M.C. Payne, I. \~Stich, L.J. Clarke, Phys. Rev. B 46, 12964 (1992)
M. Boero, A. Pasquarello, J. Sarnthein, R. Car, Phys. Rev. Lett. 78, 887 (1997)
P. Hohenberg, W. Kohn, Phys. Rev. B 136, 864 (1964)
W. Kohn, L.J. Sham, Phys. Rev. A 140, 1133 (1965)
B. Delley, J. Chem. Phys. 92, 508 (1990)
B. Delley, J. Chem. Phys. 94, 7245 (1991)
L. Hedin, B.I. Lundqvist, J. Phys. C 4, 2064 (1971)
In crystalline MgO a similar result was obtained as soon as 1967 by W.P. Unruh, J.W. Culvahouse, Phys. Rev. 154, 861 (1967)
R.W. Grimes, C.R.A. Catlow, A.M. Stoneham, J. Phys. Cond. Matt. 1, 7367 (1989)
S. Moukouri, thesis, Orsay, 1993
E. Castanier, C. Noguera, Surf. Sci. 364, 1 (1996)
L.N. Kantorovich, J.M. Holender, M.J. Gillan, Surf. Sci. 343, 221 (1995)
CRC Handbook of Chemistry and Physics, 72nd edn. (CRC Press, Boca Raton, 1992), pp. 12-8
M. Gupta, private communication
R.F.W. Bader, J. Chem. Phys. 73, 2871 (1980)
B. Silvi, A. Savin, Nature 371, 683 (1994)
P. Mori-Śanchez, J.M. Recio, B. Silvi, C. Sousa, A. Martin Pendas, V. Luaña, F. Illas, Phys. Rev. B 66, 075103 (2002)
A.D. Becke, K.E. Edgecombe, J. Chem. Phys. 92, 5397 (1990)
CRC Handbook of Chemistry and Physics, 60th edn. (CRC Press, Boca Raton, 1980), p. D-72
L. Kappers, R. Kroes, E. Hensley, Phys. Rev. B 1, 4150 (1970)
A. Ayuela, J.M. López, J.A. Alonso, V. Luaña, Physica B 212, 329 (1995)
M. Bertolus, V. Brenner, P. Millié, J. Chem. Phys. 115, 4070 (2001)
U. Schönberger, F. Aryasetiawan, Phys. Rev. B 52, 8788 (1995)
D.M. Roessler, W.C. Walker, Phys. Rev. 159, 733 (1967)
P. Jonnard, C. Bonnelle, G. Blaise, G. Remond, C. Roques-Carmes, J. Appl. Phys. 88, 6413 (2000)
P. Labastie, J.M. L’Hermite, Ph. Poncharal, M. Sence, J. Chem. Phys. 103, 6362 (1995)
Ph. Poncharal, J.M. L’Hermite, P. Labastie, Chem. Phys. Lett. 253, 463 (1996)
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Received: 17 March 2003, Published online: 12 August 2003
PACS:
31.15.Ar Ab initio calculations - 36.40.Wa Charged clusters - 61.72.Ji Point defects (vacancies, interstitials, color centers, etc.) and defect clusters
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Coudray, C., Blaise, G. Some size-dependent electronic properties in charged MgO clusters. Eur. Phys. J. D 27, 115–124 (2003). https://doi.org/10.1140/epjd/e2003-00252-0
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DOI: https://doi.org/10.1140/epjd/e2003-00252-0