Abstract
The elastic properties and the generalized-stacking-fault-energy (GSFE) in MeO (Me = Mg, Ca) under different pressures have been calculated using the first principle calculations. In the anisotropic elasticity theory approximation, by using the Foreman’s method, the core structure and Peierls stress of \(\tfrac{1} {2}\left\langle {110} \right\rangle \left\{ {110} \right\}\) edge dislocation, screw dislocation and mixed dislocation in MgO and CaO within the improved Peierls-Nabarro (P-N) model in which the lattice discrete effect is taken into account have been investigated. The Peierls stresses of \(\tfrac{1} {2}\left\langle {110} \right\rangle \left\{ {110} \right\}\) edge dislocation and screw dislocation in pure MgO obtained here are 40 MPa and 160 MPa, respectively, which are consistent with the previous calculations and the experiments. Furthermore, the dependence of the elastic constants, the generalized-stacking-fault-energy (GSFE), the core structure and the Peierls stress on pressure have also been discussed.
Similar content being viewed by others
References
C.G. Sammis, Ph.D. thesis, California Institute of Technology, 1971 (unpublished), and references therein
F.D. Stacey, Physics of the Earth (Wiley, New York, 1969), Chaps. 1 and 4
B.B. Karki et al., Am. Mineral. 82, 51 (1997)
B.B. Karki, G.J. Ackland, J. Crain, J. Phys.: Condens. Matter 9, 8579 (1997)
B.B. Karki, J. Crain, J. Geophys. Res. 103, 12405 (1998)
B.B. Karki et al., Phys. Rev. B 61, 8793 (2000)
T. Tsuchiya, K. Kawamura, J. Chem. Phys. 114, 10086 (2001)
Y.D. Guo et al., Phys. B 373, 334 (2006)
Y. Deng et al., Phys. B 392, 2007 (2007)
F. Marinelli, A. Lichanot, Chem. Phys. Lett. 367, 430 (2003)
H. Baltache et al., Phys. B 344, 334 (2004)
G. Schoeck, Mater. Sci. Eng. A 400-401, 7 (2005)
J.P. Hirth, J. Lothe, Theory of Dislocations (Wiley, New York, 1982)
Y. Xiang, Commun. Comput. Phys. 1, 383 (2006)
F.M. Chisholm, S. Kumar, P. Hazzledine, Nature 307, 701 (2005)
R. Chang, J. Appl. Phys. 32, 1127 (1961)
A. Ikushima, T. Suzeki, J. Phys. Soc. Jpn 18, 163 (1963)
R.N. Singh, R.L. Coble, J. Appl. Phys. 45, 981 (1974)
A. Seeger, Philos. Mag. 1, 651 (1956)
M.P. Puls, M.J. Norgett, J. Appl. Phys. 47, 466 (1976)
C.H. Woo, M.P. Puls, Philos. Mag. 35, 727 (1977)
Y. Gaillard, C. Tromas, J. Woirgard, Acta. Mater. 54, 1409 (2006)
P. Carrez, D. Ferre, P. Cordier, Modelling Simul. Mater. Sci. Eng. 17, 035010 (2009)
S.F. Wang, Phys. Rev. B 65, 094111 (2002)
S.F. Wang, Chin. Phys. 14, 2575 (2005)
S.F. Wang, J. Phys. A: Math. Theor. 42, 025208 (2009)
X.Z. Wu, S.F. Wang, R.P. Liu, Acta Mech. Sin. 26, 425 (2010)
J.P. Hirth, J. Lothe, Theory of Dislocations, 2nd edn. (Wiley, New York, 1982)
O.N. Mryasov, Y.N. Gornostyrev, A.J. Freeman, Phys. Rev. B 58, 11927 (1998)
J.D. Gale, A.L. Rohl, Mol. Simul. 29, 291 (2003)
G. Kresse, J. Hafner, Phys. Rev. B 47, 558 (1993)
G. Kresse, J. Hafner, Phys. Rev. B 49, 14251 (1994)
G. Kresse, J. Furthmüller, Comput. Mater. Sci. 6, 15 (1996)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 78, 1396 (1996)
P.E. Blöchl, Phys. Rev. B 50, 17953 (1994)
G. Kresse, D. Joubert, Phys. Rev. B 59, 1758 (1999)
N.A.W. Holzwarth et al., Phys. Rev. B 13, 5188 (1997)
H.J. Monkhorst, J.D. Pack, Phys. Rev. B 13, 5188 (1976)
R. Jeanloz, T. Ahrens, H.K. Mao, P.M. Bell, Science 206, 829 (1979)
J.F. Mammone, H.K. Mao, P.M. Bell, Geophys. Res. Lett. 8, 140 (1981)
Y. Fei, Am. Mineral. 84, 272 (1999)
P. Pichet, H.K. Mao, P.M. Bell, J. Geophys. Res. 93, 15279 (1988)
C.S. Zha, H.K. Mao, R.J. Hemley, Proc. Natl. Acad. Sci. USA 97, 13494 (2000)
S.V. Sinogeikin, J.D. Bass, Phys. Rev. B 59, 14141 (1999)
N.I. Medvedeva et al., Phys. Rev. B 54, 13506 (1996)
J. Hartford et al., Phys. Rev. B 48, 3115 (1998)
C.R. Miranda, S. Scandolo, Comput. Phys. Commun. 169, 24 (2005)
J.R. Rice, J. Mech. Phys. Solids 40, 239 (1992)
D.B. Zhang, T.C. Wang, Y.G. Wei, in 2nd International Conference on Heterogeneous Mater. Mech. (2008), p. 21
Y. Zhang, Y.G. Yao, Eur. Phys. J. B 55, 355 (2007)
R.E. Peierls, Proc. Phys. Soc. 52, 23 (1940)
S.F. Wang, J. Phys. A: Math. Theor. 41, 015005 (2008)
A.J. Foreman, M.A. Jaswon, J.K. Wood, Proc. Phys. Soc. A 64, 156 (1951)
C.W. Zhao, Y.M. Xing, P.C. Bai, Chin. Phys. B 18, 2464 (2009)
Y.X. Gan, B.Z. Jang, J. Mater. Sci. Lett. 15, 2044 (1996)
Y. Shen et al., Scripta Mater. 61, 457 (2009)
X.Z. Wu et al., Cent. Eur. J. Phys. 9, 1095 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, L., Wu, X.Z., Wang, R. et al. High-pressure effect on elastic constants, stacking fault energy and correlation with dislocation properties in MgO and CaO. Eur. Phys. J. B 85, 226 (2012). https://doi.org/10.1140/epjb/e2012-30032-4
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2012-30032-4