Abstract
Understanding the behaviour of solid solutions over wide ranges of temperature and pressure remains a major challenge to both theory and experiment. Here we report a detailed exchange Monte Carlo study using a classical ionic model of the model perovskite parascandolaite-neighborite (K,Na)MgF3 solid solution and its end-members for temperatures in the range 300-1000 K and pressures from 0-8 GPa. Full account is taken of the local environment of the individual cations, clustering and thermal effects. Properties considered include the crystal structure, phase transitions, the thermodynamics of mixing and the non-ideality of the solid solution. Clustering of the potassium ions is examined via a short-range order parameter. Where experimental data are available for comparison, agreement is very good.
This is a preview of subscription content, access via your institution.
References
L. Liu, Geophys. Res. Lett., 2, 417 (1975).
T. Kato and M. Kumazawa, Nature, 316, 803 (1985).
E. Knittle and R. Jeanloz, Science, 235, 668 (1987).
J. Zhang and D. J. Weidner, Science, 284, 782 (1999).
J. P. Brodholt, Nature, 407, 620 (2000).
C. B. Vanpeteghem, R. J. Angel, N. L. Ross, S. D. Jacobsen, D. P. Dobson, K. D. Litasov, and E. Ohtani, Phys. Earth Planet. Inter., 155, 96 (2006).
M. J. Gillan, D. Alfè, J. Brodholt, L. Vocadlo, and G. D. Price, Rep. Prog. Phys., 69, 2365 (2006).
F. Zhang and A. R. Oganov, Earth Planet. Sci. Lett., 249, 436 (2006).
A. Saikia, T. B. Ballaran, and D. J. Frost, Phys. Earth Planet. Inter., 173, 153 (2009).
M. Murakami, Y. Ohishi, N. Hirao, and K. Hirose, Nature, 485, 90 (2012).
E. C. T. Chao, H. T. Evans, B. J. Skinner, and C. Milton, Am. Mineral., 46, 379 (1961).
F. Demartin, I. Campostrini, C. Castellano, and M. Russo, Phys. Chem. Miner., 41, 403 (2014).
N. L. Allan, M. J. Dayer, D. T. Kulp, and W. C. Mackrodt, J. Mater. Chem., 1, 1035 (1991).
C. D. Martin, S. Chaudhuri, C. P. Grey, and J. B. Parise, Am. Mineral., 90, 1522 (2005).
Y. Zhao, D. J. Weidner, J. B. Parise, and D. E. Cox, Phys. Earth Planet. Inter., 76, 1 (1993).
Y. Zhao, D. J. Weidner, J. B. Parise, and D. E. Cox, Phys. Earth Planet. Inter., 76, 17 (1993).
Y. Zhao, J. Solid State Chem., 141, 121 (1998).
R. W. Smith, W. N. Mei, J. W. Flocken, M. J. Dudik, and J. R. Hardy, Mat. Res. Bull., 35, 341 (2000).
A. R. Chakhmouradian, K. Ross, R. H. Mitchell, and I. Swainson, Phys. Chem. Miner., 28, 277 (2001).
I. G. Wood, K. S. Knight, G. D. Price, and J. A. Stuart, J. Appl. Crystallogr., 35, 291 (2002).
A. Yoshiasa, D. Sakamoto, H. Okudera, M. Ohkawa, and K. Ota, Mat. Res. Bull., 38, 421 (2003).
J. Chen, H. Liu, C. D. Martin, J. B. Parise, and D. J. Weidner, Am. Mineral., 90, 1534 (2005).
C. D. Martin, W. A. Crichton, H. Liu, V. Prakapenka, J. Chen, and J. B. Parise, Am. Mineral., 91, 1703 (2006).
R. H. Mitchell, L. M. D. Cranswick, and I. Swainson, Phys. Chem. Miner., 33, 587 (2006).
R. H. Mitchell, M. Alexander, L. M. D. Cranswick, and I. Swainson, Phys. Chem. Miner., 34, 705 (2007).
G. Vaitheeswaran, V. Kanchana, R. S. Kumar, A. L. Cornelius, M. F. Nicol, A. Svane, A. Delin, and B. Johansson, Phys. Rev. B, 76, 014107 (2007).
K. Umemoto, R. M. Wentzcovitch, D. J. Weidner, and J. B. Parise, Geophys. Res. Lett., 33, L15304 (2006).
J. A. Purton, G. D. Barrera, N. L. Allan, and J. D. Blundy, J. Phys. Chem., B 102, 5202 (1998).
N. L. Allan, G. D. Barrera, R. M. Fracchia, M. Y. Lavrentiev, M. B. Taylor, I. T. Todorov, and J. A. Purton, Phys. Rev. B, 63, 094203 (2001).
M. Y. Lavrentiev, N. L. Allan, G. D. Barrera, and J. A. Purton, J. Phys. Chem. B, 105, 3594 (2001).
I. T. Todorov, N. L. Allan, M. Y. Lavrentiev, C. L. Freeman, C. E. Mohn, and J. A. Purton, J. Phys.: Condens. Matter., 16, S2751 (2004).
C. E. Mohn, M. Y. Lavrentiev, N. L. Allan, E. Bakken, and S. Stølen, Phys. Chem. Chem. Phys., 7, 1127 (2005).
D. Frenkel and B. Smit, Understanding Molecular Simulation, 2nd ed., Academic Press, San Diego (2002).
N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys., 21, 1087 (1953).
M. Y. Lavrentiev, J. A. Purton, and N. L. Allan, Am. Mineral., 88, 1522 (2003).
M. Y. Lavrentiev, W. van Westrenen, N. L. Allan, C. L. Freeman, and J. A. Purton, Chem. Geol., 225, 336 (2006).
Computer Simulation of Solids, C. R. A. Catlow and W. C. Mackrodt (eds.), Springer-Verlag (1982).
N. L. Allan, M. Braithwaite, D. L. Cooper, W. C. Mackrodt, and B. Petch, Mol. Simul., 9, 161 (1992).
N. L. Allan, M. Braithwaite, D. L. Cooper, W. C. Mackrodt, and B. Petch, J. Chem. Soc., Faraday Trans., 89, 4369 (1993).
F. Claeyssens, J. M. Oliva, D. Sánchez-Portal, and N. L. Allan, Chem. Commun., 2440/2441 (2003).
E. Rönnebro, D. Noréus, K. Kadir, A. Reiser, and B. Bogdanovic, J. Alloys Compd., 299, 101 (2000).
A. G. Bergman and E. P. Dergunov, C. R. Acad. Sci. URSS, 31, 755 (1941).
R. C. DeVries and R. Roy, J. Am. Chem. Soc., 75, 2479 (1953).
Y. Zhao, D. J. Weidner, J. Ko, K. Leinenweber, X. Liu, B. Li, Y. Meng, R. E. G. Pacalo, M. T. Vaughan, Y. Wang, and A. Yeganeh-Haeri, J. Geophys. Res., 99, 2871 (1994).
Y. Zhao and D. J. Weidner, Phys. Chem. Miner., 20, 419 (1993).
H.-Z. Liu, J. Chen, J. Hu, C. D. Martin, D. J. Weidner, D. Häusermann, and H.-K. Mao, Geophys. Res. Lett., 32, L04304 (2005).
L. M. Reshchikova, Sov. Phys.–Solid State, 10, 2019 (1969).
L. E. A. Jones, Phys. Chem. Miner., 4, 23 (1979).
J. M. Cowley, Phys. Rev., 77, 669 (1950).
N. L. Allan, S. Stølen, and C. E. Mohn, J. Mat. Chem., 18, 4124 (2008).
Author information
Authors and Affiliations
Corresponding author
Additional information
Commemorating the 80th anniversary of Professor S. P. Gabuda
The text was submitted by the authors in English. Zhurnal Strukturnoi Khimii, Vol. 57, No. 2, pp. 274-282, March- April, 2016.
Rights and permissions
About this article
Cite this article
Tealdi, C., Lavrentiev, M.Y., Mohn, C.E. et al. Perovskite solid solutions–a Monte Carlo study of the deep earth analogue (K, Na)MgF3 . J Struct Chem 57, 257–266 (2016). https://doi.org/10.1134/S0022476616020037
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0022476616020037