Ab initio study of cation disorder in dolomite
Source abstract
Abstract
Abstract Ab initio calculations at the athermal limit were carried out in order to study the disordering mechanism which drives the non-ideal cation distribution over dolomite crystallographic sites and to analyse the thermodynamic stability of differently disordered dolomite structures. The configurational entropy contribution was taken into account by means of a quantum-statistical thermodynamic approach. Intra- and inter-layering disordered structures were simulated. Total static energy calculations showed that ordered dolomite is always the most stable configuration at the athermal limit being the energy differences between ordered and disordered configurations lower than −7 kJ/mol. In order to quantify disordering conditions by taking into account the two types of disorder, some parameters were proposed such as a weighted s parameter ( s w ) referring to the intra-layer type disorder and the frequency of stacking disorder f together with the distance of stacking inversion d as regards the inter-layer type. Those parameters were summarized in a total ordering parameter ( s t ) having values between 1 (fully order) and 0 (fully disorder). Quite wide disordering conditions were analysed as the s t parameter for the simulated structures ranges from 1 to 0.25. An intra-layered type disorder was suggested as the main process driving the thermally induced cation distribution over crystallographic sites. In addition, a configurational disorder parameter ( s c ) was proposed in order to take into account the probability of existence of each disordered configuration as a function of temperature ( T ). At very low T a fully ordered dolomite configuration is the most stable one. As temperature increases, cations disordering arises in the crystal structure and at room temperature s c counts 0.83. Such parameter rapidly goes down and it is reduced to 0.62 at 750 K; it asymptotically approaches 0.54 at higher T . These temperatures are significantly lower than 1200 K which is found experimentally to be the temperature of first appearance of disorder (Hammouda et al., 2011 [1] ), likely due to kinetic reasons.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: High-pressure geophysics and materials · X-ray Diffraction in Crystallography · Advanced Condensed Matter Physics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (39)
Show source-provided references
1. Ordering in double carbonates and implications for processes at subduction zones10.1007/s00410-010-0541-z ↗
2. The kinetics of dissolution of dolomite in CO2–H2O systems at 1.5 to 65°C and 0 to 1 atm PCO210.2475/ajs.282.1.45 ↗
3. High-pressure behaviour of carbonates and hydrates, and devolatilization of the subducted oceanic crust
4. In situ X-ray observation of the reaction dolomite = aragonite + magnesite at 900-1300 K10.2138/am-2002-0715 ↗
5. Trace elements and isotopes in sedimentary carbonates
6. Development of interconnected talc networks and weakening of continental low-angle normal faults10.1130/G25645A.1 ↗
7. Diffraction studies of order–disorder at high pressures and temperatures10.1154/1.1913715 ↗
8. Cation disorder in dolomite, CaMg(CO3)2, and its influence on the aragonite + magnesite ↔ dolomite reaction boundary10.2138/am-2004-0728 ↗
9. Structure refinements of some thermally disordered dolomites
10. Subsolidus phase relations in the system CaCO3–MgCO310.1086/626715 ↗
11. H.C. Helgeson, J.M. Delany, H.W. Nesbitt, D.K. Bird, Summary and critique of the thermodynamic properties of rock-forming minerals, Am. J. Sci., 278-A (1978) (Kline Geology Laboratory, Yale University).
12. Calorimetric studies of the energetics of order–disorder in the system (Mg1−xFex) Ca(CO3)210.2138/am-1999-1016 ↗
13. Order–disorder–reorder process in thermally treated dolomite samples: a combined powder and single-crystal x-ray diffraction study10.1007/s00269-012-0489-9 ↗
14. Sequential basal faults in Devonian dolomite, Nopah Range, Death Valley area, California10.1126/science.222.4623.502 ↗
15. The nature of ordering and ordering defects in dolomite10.1007/BF00311160 ↗
16. Ab initio simulations of cation ordering in oxides: application to spinel10.1088/0953-8984/12/4/101 ↗
17. A computational study of Al/Si ordering in cordierite10.1007/BF00202308 ↗
18. Andradite-uvarovite solid solutions an ab initio all-electron quantum mechanical simulation with the CRYSTAL06 code10.1021/jp903654w ↗
19. D. Fuks, S. Dorfman, S. Piskunov, E. Kotomin, Ab initio thermodynamics of BacSr(1−c)TiO3 solid solutions, Phys. Rev. B 71 (2005).10.1103/PhysRevB.71.014111 ↗
20. BacSr(1−c)TiO3 perovskite solid solutions: thermodynamics from ab initio electronic structure calculations10.1016/j.mee.2005.03.050 ↗
21. Thermodynamic stability of Fe/O solid solution at inner-core conditions10.1029/2000GL011567 ↗
22. Ab initio quantum-mechanical calculation of CaCO3 aragonite at high pressure: thermodynamic properties and comparison with experimental data10.1127/0935-1221/2010/0022-2054 ↗
23. (10.4), (01.8), (01.2), and (00.1) twin laws of calcite (CaCO3): equilibrium geometry of the twin boundary interfaces and twinning energy10.1021/cg100233p ↗
24. Activity–composition relations in the system CaCO3–MgCO3 predicted from static structure energy calculations and Monte Carlo simulations10.1016/j.gca.2006.11.008 ↗
25. V. Vinograd, M. Sluiter, B. Winkler, Subsolidus phase relations in the CaCO3–MgCO3 system predicted from the excess enthalpies of supercell structures with single and double defects, Phys. Rev. B 79 (2009).10.1103/PhysRevB.79.104201 ↗
26. Ab initio vibrational spectra and dielectric properties of carbonates: magnesite calcite and dolomite10.1007/s00214-006-0213-2 ↗
27. Computer simulation of mineral solid solutions10.1016/j.chemgeo.2005.08.032 ↗
28. The vibrational spectrum of calcite (CaCO3): an ab initio quantum-mechanical calculation10.1007/s00269-004-0418-7 ↗
29. First-principles-based calculations of the CaCO3–MgCO3 and CdCO3–MgCO3 subsolidus phase diagrams10.1007/s00269-002-0294-y ↗
30. A shell model for the simulation of rhombohedral carbonate minerals and their point defects10.2138/am-2000-0121 ↗
31. Quantum-mechanical and classical simulations of Mg–Ca carbonates10.1007/BF00161725 ↗
32. Static lattice energy calculations of mixing and ordering enthalpy in binary carbonate solid solutions10.1016/j.chemgeo.2005.08.023 ↗
33. Dovesi · 2009
34. C. Pisani, R. Dovesi, C. Roetti, Lecture Notes in Chemistry, vol. 48, Springer, Berlin, Heidelberg, New York, pp. 184–193.
35. Ab initio study of the vibrational spectrum and related properties of crystalline compounds; the case of CaCO3 calcite10.1524/zpch.2006.220.7.893 ↗
36. C. Pisani, Quantum-Mechanical Ab-initio Calculation of the Properties of Crystalline Materials, 1st edition, Springer, 1996.10.1007/978-3-642-61478-1 ↗
37. More accurate generalized gradient approximation for solids10.1103/PhysRevB.73.235116 ↗
38. Special points for Brillouin-zone integrations10.1103/PhysRevB.13.5188 ↗
39. G. Sheldrick, Program for Crystal Structure Determination, 1976.