Abstract:Using ab initio simulations and high-pressure experiments in a diamond anvil cell, we show that alumina (Al2O3) adopts the CaIrO 3-type structure above 130 GPa. This finding substantially changes the picture of high-pressure behavior of alumina; in particular, we find that perovskite structure is never stable for Al 2O3 at zero Kelvin. The CaIrO3-type phase suggests a reinterpretation of previous shock-wave experiments and has important implications for the use of alumina as a window material in shock-wave exp… Show more
“…29,30,42 Mousavi has recently reported some quasi-harmonic thermal properties of corundum, as computed with a simplified Debye model (where the lattice dynamics of the crystal is not explicitly solved at the ab initio level of theory), which are found to largely disagree with available experimental data. 43 To the best of our knowledge, the present investigation constitutes the first complete ab initio description of thermodynamic and thermal structural and elastic properties of α-Al 2 O 3 .…”
Section: Introductionmentioning
confidence: 40%
“…The exceptional performance of LDA in reproducing equilibrium structural features of α-Al 2 O 3 has already been discussed in several ab initio studies. 30,[64][65][66][67][68][69][70][71] The good description of the temperature dependence of V (T ) and K(T ) up to T M , without strong deviations which are commonly seen in other systems (particularly on K(T )) well below T M , 32 62 are reported as full circles. Despite an overall good description of the thermal expansion of corundum by all functionals, this figure allows for a finer discussion.…”
Section: Structural Propertiesmentioning
confidence: 99%
“…Several computational studies on aluminum oxide polymorphs have been reported in recent years, which mainly apply standard DFT methods. [22][23][24][25][26][27][28][29][30] In this paper, we apply a recently developed technique based on the so-called quasi-harmonic approximation (QHA): a simple and effective method that is able to address the aforementioned issue in the case of corundum. 31,32 The thermal expansion coefficient, α(T ), heat capacities, C V (T ) and C P (T ), entropy, S(T ) and bulk modulus, K(T ) of corundum are calculated in its entire range of thermal stability (i.e.…”
The thermochemical behavior of α-Al 2 O 3 corundum in the whole temperature range 0-2317 K (melting point) and under pressures up to 12 GPa is predicted by applying ab initio methods based on the density functional theory (DFT), the use of a local basis set and periodic-boundary conditions. Thermodynamic properties are treated both within and beyond the harmonic approximation to the lattice potential. In particular, a recent implementation of the quasi-harmonic approximation, in the CRYSTAL program, is here shown to provide a reliable description of the thermal expansion coefficient, entropy, constant-volume and constant-pressure specific heats, and temperature dependence of the bulk modulus, nearly up to the corundum melting temperature. This is a remarkable outcome suggesting α-Al 2 O 3 to be an almost perfect quasi-harmonic crystal. The effect of using different computational parameters and DFT functionals belonging to different levels of approximations on the accuracy of the thermal properties is tested, providing a reference for further studies involving alumina polymorphs and, more generally, quasiionic minerals.
“…29,30,42 Mousavi has recently reported some quasi-harmonic thermal properties of corundum, as computed with a simplified Debye model (where the lattice dynamics of the crystal is not explicitly solved at the ab initio level of theory), which are found to largely disagree with available experimental data. 43 To the best of our knowledge, the present investigation constitutes the first complete ab initio description of thermodynamic and thermal structural and elastic properties of α-Al 2 O 3 .…”
Section: Introductionmentioning
confidence: 40%
“…The exceptional performance of LDA in reproducing equilibrium structural features of α-Al 2 O 3 has already been discussed in several ab initio studies. 30,[64][65][66][67][68][69][70][71] The good description of the temperature dependence of V (T ) and K(T ) up to T M , without strong deviations which are commonly seen in other systems (particularly on K(T )) well below T M , 32 62 are reported as full circles. Despite an overall good description of the thermal expansion of corundum by all functionals, this figure allows for a finer discussion.…”
Section: Structural Propertiesmentioning
confidence: 99%
“…Several computational studies on aluminum oxide polymorphs have been reported in recent years, which mainly apply standard DFT methods. [22][23][24][25][26][27][28][29][30] In this paper, we apply a recently developed technique based on the so-called quasi-harmonic approximation (QHA): a simple and effective method that is able to address the aforementioned issue in the case of corundum. 31,32 The thermal expansion coefficient, α(T ), heat capacities, C V (T ) and C P (T ), entropy, S(T ) and bulk modulus, K(T ) of corundum are calculated in its entire range of thermal stability (i.e.…”
The thermochemical behavior of α-Al 2 O 3 corundum in the whole temperature range 0-2317 K (melting point) and under pressures up to 12 GPa is predicted by applying ab initio methods based on the density functional theory (DFT), the use of a local basis set and periodic-boundary conditions. Thermodynamic properties are treated both within and beyond the harmonic approximation to the lattice potential. In particular, a recent implementation of the quasi-harmonic approximation, in the CRYSTAL program, is here shown to provide a reliable description of the thermal expansion coefficient, entropy, constant-volume and constant-pressure specific heats, and temperature dependence of the bulk modulus, nearly up to the corundum melting temperature. This is a remarkable outcome suggesting α-Al 2 O 3 to be an almost perfect quasi-harmonic crystal. The effect of using different computational parameters and DFT functionals belonging to different levels of approximations on the accuracy of the thermal properties is tested, providing a reference for further studies involving alumina polymorphs and, more generally, quasiionic minerals.
“…Two pressure-induced transitions have been predicted theoretically (10)(11)(12)(16)(17)(18) and confirmed experimentally (13)(14)(15)19): from corundum (space group R3 c), the stable ambient form, to the Rh 2 O 3 (II)-type structure (space group Pbcn) at Ϸ80-100 GPa and then to the CaIrO 3 -type PPV structure (space group Cmcm) at Ϸ130 GPa. These pressures are realized in the Earth's mantle.…”
We predict by first principles a phase transition in alumina at Ϸ3.7 Mbar and room temperature from the CaIrO 3-type polymorph to another with the U 2S3-type structure. Because alumina is used as window material in shock-wave experiments, this transformation should be important for the analysis of shock data in this pressure range. Comparison of our results on all high-pressure phases of alumina with shock data suggests the presence of two phase transitions in shock experiments: the corundum to Rh 2O3(II)-type structure and the Rh 2O3(II)-type to CaIrO3-type structure. The transformation to the U 2S3-type polymorph is in the pressure range reached in the mantle of recently discovered terrestrial exoplanets and suggests that the multi-megabar crystal chemistry of planetforming minerals might be related to that of the rare-earth sulfides.alumina ͉ first-principles calculation ͉ high-pressure phase transition ͉ postperovskite ͉ rare-earth sulfide structure A lumina, Al 2 O 3 , is an important compound in high-pressure technology and geophysics. It is used as window material in shock-wave experiments (1). Ruby, Al 2 O 3 doped with chromium, serves as a pressure calibrant in diamond-anvil-cell experiments (2). In the Earth's mantle, Al 2 O 3 is a major chemical component in solid solution with MgSiO 3 garnet, perovskite (PV), and postperovskite (PPV). This formation of solid solutions with alumina changes the properties of the pure phases, such as their equations of state, thermoelastic properties, phase boundaries, electrical conductivity, oxidation, and spin states of iron impurities in MgSiO 3 , etc. (e.g., refs. 3-9).The experimental and theoretical literature on phase transitions in Al 2 O 3 is quite extensive (10-19). Two pressure-induced transitions have been predicted theoretically (10)(11)(12)(16)(17)(18) and confirmed experimentally (13)(14)(15)19): from corundum (space group R3 c), the stable ambient form, to the Rh 2 O 3 (II)-type structure (space group Pbcn) at Ϸ80-100 GPa and then to the CaIrO 3 -type PPV structure (space group Cmcm) at Ϸ130 GPa. These pressures are realized in the Earth's mantle. The CaIrO 3 -type polymorph is the highest-pressure form identified experimentally so far for both Al 2 O 3 and MgSiO 3 . A phase transition in the CaIrO 3 -type phase in Al 2 O 3 or MgSiO 3 should change the properties of their solid solution, a key input in the modeling of planetary interiors. A first-principles study predicted the dissociation of CaIrO 3 -type MgSiO 3 into CsCl-type MgO and cotunnite-type SiO 2 at Ϸ1.1 TPa (20), a pressure relevant for the giant planets and exoplanets. The same type of dissociation was also predicted for NaMgF 3 , a low-pressure analog of MgSiO 3 (21). However, CaIrO 3 -type Al 2 O 3 is expected to undergo a nondissociative post-PPV transition because the equivalent dissociation products (AlO and AlO 2 ) are unlikely to form. Here, we report the first-principles prediction of a phase transition in Al 2 O 3 from the CaIrO 3 -type polymorph to another with the U 2 S 3 -type s...
“…If, however, comparing the transition pressures of end-member compositions, the pPv transition in MgSiO 3 is expected to occur at much lower pressure than in Al 2 O 3 at low temperatures, but it is comparable or rather higher in MgSiO 3 than in Al 2 O 3 at temperatures Ͼ3,000 K, because the Pv-pPv phase boundary in MgSiO 3 has a largely positive Clapeyron slope (2, 3), whereas the Rh 2 O 3 (II) (Rh)-pPv boundary in Al 2 O 3 has a largely negative one (12,20). This might affect the solubility of Al to Mg-Pv, and thus the stability of aluminous Pv and pPv, which were not considered in the previous studies on the phase equilibria in the MgSiO 3 -Al 2 O 3 system.…”
We investigate high-P,T phase equilibria of the MgSiO3-Al2O3 system by means of the density functional ab initio computation methods with multiconfiguration sampling. Being different from earlier studies based on the static substitution properties with no consideration of Rh2O3(II) phase, present calculations demonstrate that (i) dissolving Al2O3 tends to decrease the postperovskite transition pressure of MgSiO3 but the effect is not significant (Ϸ-0.2 GPa/mol% Al2O3); (ii) Al2O3 produces the narrow perovskite؉postperovskite coexisting P,T area (Ϸ1 GPa) for the pyrolitic concentration (xAl2O3 Ϸ6 mol%), which is sufficiently responsible to the deep-mantle D؆ seismic discontinuity; (iii) the transition would be smeared (Ϸ4 GPa) for the basaltic Al-rich composition (xAl2O3 Ϸ20 mol%), which is still seismically visible unless iron has significant effects; and last (iv) the perovskite structure spontaneously changes to the Rh2O3(II) with increasing the Al concentration involving small displacements of the Mg-site cations.ab initio density functional method ͉ Earth's lower mantle ͉ DЉ seismic discontinuity ͉ solid-solution thermodynamics ͉ Rh2O3(II) structure A lthough the postperovskite (pPv) phase transition in MgSiO 3 (1-3) is suggested to be strongly related to the deep-mantle DЉ seismic discontinuity (4-6), phase relations in more realistic chemical compositions, containing particularly aluminum and iron, are needed for further detailed investigations of this region. High-pressure experiments (7, 8) demonstrated that magnesium silicate perovskite (Pv) is the major host of aluminum over the entire pressure (P) and temperature (T) range of the lower mantle, possessing Ϸ5 mol% of Al 2 O 3 in pyrolite and Ϸ20 mol% in MORB. The pPv phase transition of aluminous silicate has therefore been studied extensively both theoretically and experimentally (9-13) along with the effects of Al on the elastic properties of ). An ab initio study (9) showed that the Al incorporation into Mg-Pv drastically increases the pPv transition pressure and also enhances the PvϩpPv coexistence region, which reaches Ͼ10 GPa even for 5 mol% Al 2 O 3 . Also, a laser-heated diamond-anvil-cell experiment of pyrope composition (25 mol% Al 2 O 3 ) (11) proposed a similar phase diagram with wide PvϩpPv coexisting pressure ranges of 20-30 GPa, although their estimations of transition width were quite rough. Similar broadening of the transition width is also reported for the iron-bearing systems (17, 18), although their transition pressures are still highly contradictory. These gradual phase changes through such huge divariant loops suggest the pPv transition fails to explain the sharp seismic discontinuity as observed at the top of DЉ (9, 11). However, the ultrahigh-P,T experiments of multicomponent phase equilibria currently usually involve significant uncertainties in controlling homogeneous P,T conditions and reaction kinetics. In this study, we reinvestigate the aluminum-bearing Pv system theoretically for the first step of better understanding the ...
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