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1.
The chemical potential of oxygen defined by the equilibrium:
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2.
The formulas for thermodynamic functions for minerals are presented, couched in terms of the important thermodynamic variable KT= (P/T)v, where is the volume thermal expansivity and KT is the isothermal bulk modulus. Presenting the formulas in this way leads to simplification since KT as a product varies only slightly with volume, and is close to being independent of temperature at high temperature. Using our equations, we present as examples some computed data in the form of graphs on the entropy, internal energy, Helmholtz free energy, and Gibbs free energy in the high temperature regime (up to 2000 K) and for high compression (up to 0.7), for MgO. For entropy, knowledge of the V, T dependence of KT is sufficient. For enthalpy and internal energy, the equation of state is needed in addition. 相似文献
3.
Data on the mechanisms of mantle phase transformations have come primarily from studies of analogue systems reacted experimentally at low pressures. In order to study transformation mechanisms in Mg2SiO4 at mantle pressures, forsterite () has been reacted in the stability field of -phase, at 15 GPa and temperatures up to 900° C, using a multianvil split-sphere apparatus. Transmission electron microscope studies of samples reacted for times ranging from 0.25–5.0 h show that forsterite transforms to -phase by an incoherent nucleation and growth mechanism involving nucleation on olivine grain boundaries. This mechanism and the resultant microstructures are very similar to those observed at much lower pressures in analogue systems (Mg2GeO4 and Ni2SiO4) as the result of the olivine to spinel () transformation. Metastable spinel () also forms from Mg2SiO4 olivine at 15 GPa, in addition to -phase, by the incoherent nucleation and growth mechanism. With time, the spinel progressively transforms to the stable -phase. After 1 h, spinels exhibit a highly striated microstructure along {110} and electron diffraction patterns show streaking parallel to [110] which indicates a high degree of structural disorder. High resolution imaging shows that the streaking results from thin lamellae of -phase intergrown with the spinel. The two phases have the orientation relationship [001]//[001] and [010]//[110] so that the quasi cubic-close-packed oxygen sublattices are continuous between both phases. These microstructures are similar to those observed in shocked meteorites and show that spinel transforms to -phase by a martensitic (shear) mechanism. There is also evidence that the mechanism changes to one involving diffusion-controlled growth at conditions close to equilibrium. 相似文献
4.
Thirteen energy-dispersive x-ray diffraction spectra for -Fe2SiO4 (spinel) collected in situ at 400° C and pressures to 24 GPa constitute the basis for an elevated-temperature static compression isotherm for this important high-pressure phase. A Murnaghan regression of these molar volume measurements yields 177.3 (±17.4) GPa and 5.4(±2.5) for the 400° C, room pressure values of the isothermal bulk modulus (K
P
0) and its first pressure derivative (K
P
0), respectively. When compared to the room-Tdeterminations of K
P
0 available in the literature, our 400° C K
P
0 yields -4.1 (±6.2)×10-2 GPa/degree for the average value of (K/T)
P
0 over the temperature interval 25° C<><400°>400°>A five-parameter V(P, T) equation for -Fe2SiO4 based on simultaneous regression of our data combined with the elevated P-Tdata of Yagi et al. (1987) and the extrapolated thermal expansion values from Suzuki et al. (1979) yields isochores which have very little curvature [(2
T/P
2)
v
0], in marked contrast to the isochores for fayalite (Plymate and Stout 1990) which exhibit pronounced negative curvature [(T/P
2)
v
<0]. along=" the=">0].>-Fe2SiO4 reaction boundary VRvaries from a minimum of approximately 8.3% at approximately 450° C to approximately 8.9% at 1200° C. Extrapolation of the fayalite and -Fe2SiO4
V(P, T) relationships to the temperature and pressure of the 400 km discontinuity suggests a V
R
of approximately 8.4% at that depth, approximately 10% less than the 9.3% V
R
at ambient conditions. 相似文献
5.
L. H. Bowen E. DeGrave D. A. Reid R. C. Graham S. B. Edinger 《Physics and Chemistry of Minerals》1989,16(7):697-703
Celadonite from the northwestern Mojave Desert area of California was examined by detailed Mössbauer spectroscopy at temperatures from 10 K to 400 K. In addition to the predominant Fe3+ doublet with isomer shift 0.4 mm s–1 and quadrupole splitting 0.4 mm s–1, another Fe3+ doublet with 0.4, 1.2 mm/s and two Fe2+ doublets with 1.1, 1.7, 2.7 mm s–1 at 300 K were distinguished. The minor Fe3+ component is ascribed to dehydroxylated surface sites. Most of the remaining Fe(90%) is M2 cis-OH octahedral in an ordered M+–M2+ array. However, about 10% is M1 trans-OH Fe2+. Isomer shift vs. T gives Debye temperatures of 570 K for Fe3+ in M2 and 380 K for both Fe2+ sites, indicating greater vibrational freedom for Fe2+. Quadrupole splitting vs. T for Fe2+ gives a valence electronic energy splitting of 760 cm–1 between the ground and first excited state for M2. The M1 sites have a more drastic variation in vs. T which indicates not only a lower first excited state but a rhombic distortion at these sites. A proposed explanation is a neighboring M2 site vacancy. The soil clay formed from this celadonite, which is mostly Fe-rich smectite, was also studied by Mössbauer spectroscopy. About half the Fe2+ has been oxidized in the clay, but the isomer shifts and quadrupole splittings are essentially the same as in the original celadonite. A texture orientation in the clay absorber was detected by measuring the absorber at 55° to the source radiation. This texture effect produces asymmetric doublets in the usual 90° measurement. 相似文献
6.
Grossular activity-composition relationships in ternary garnets determined by reversed displaced-equilibrium experiments 总被引:1,自引:1,他引:1
Activity-composition relationships of Ca3Al2Si3O12 (grs) in ternary Ca-Mg-Fe garnets of various compositions have been determined by reversed displaced equilibrium experiments at 1000° C and 900° C and pressures of 8 to 17 kbar. The mixing of grs in garnet is nearly ideal at 30 mol% grs, with positive deviations from ideality at lower grs contents. Models of garnet mixing currently in the literature do not predict this trend. Analysis of the present reversals, in conjunction with a garnet mixing model based solely on calorimetry measurements on the binary joins, indicates that a ternary interaction constant for a ternary asymmetric Margules model (Wohl 1953) cannot be constrained. Apparently, some aspects of the garnet binary joins are still not well-known. An alternative asymmetric empirical model, based on analysis of pseudobinary joins of constant Mg/Mg + Fe(Mg #), reproduces the data well and is able to predict grs activity coefficients for garnets with grs contents between 3 and 40 mol% and Mg numbers between 0 and 0.60. The grossular activity coefficient,
grs, is given by:
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