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eutectic system

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Journal Article
Published: 01 July 2012
American Mineralogist (2012) 97 (7): 1155–1164.
...G. Ben Martin; Mark Ghiorso; Frank J. Spera Abstract Empirical potential molecular dynamics (EPMD) simulations of 1-bar eutectic composition liquid in the system CaAl 2 Si 2 O 8 -CaMgSi 2 O 6 have been conducted using the interatomic pair-potential of Matsui (1998) . Simulations using ~10000 atoms...
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Journal Article
Published: 01 May 2001
European Journal of Mineralogy (2001) 13 (3): 453–466.
...Don R. BAKER; Carmela FREDA Abstract Textures formed during crystallization of the eutectic composition in the system Orthoclase-Quartz-H 2 O at 500 MPa and 50, 100, and 200°C undercooling have been studied experimentally and simulated using a two-dimensional Ising model. The experiments performed...
FIGURES
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Journal Article
Published: 01 December 1969
Canadian Journal of Earth Sciences (1969) 6 (6): 1458–1460.
...Denis M. Shaw; Shirley M. Gibson Abstract Five models of the liquid state have been used to calculate the liquidus curves and the eutectic point in the simple binary system diopside–fluorite. None predicts adequately the recent experimental results of Lin and Burley. non disponible ...
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A binary two-component eutectic system with limited solid solution. The isothermal points A, B, and C mark the limits of the second, limited-solid-solution component, X2. The partition coefficient of X2 can be described as (B–A)/(C–A), or B/C. Below the eutectic temperature, the partitioning is controlled by the entropy of mixing, e.g., line D–E.
Published: 01 October 2016
Figure 4.3 A binary two-component eutectic system with limited solid solution. The isothermal points A, B, and C mark the limits of the second, limited-solid-solution component, X 2 . The partition coefficient of X 2 can be described as (B–A)/(C–A), or B/C. Below the eutectic temperature
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Molar volume calculated at 1500 and 1800 K from the individual fits of Table 5 plotted as a function of ZnO content in the anorthite–diopside (AnDi) 1 atm eutectic system.
Published: 01 February 2006
F igure 3. Molar volume calculated at 1500 and 1800 K from the individual fits of Table 5 plotted as a function of ZnO content in the anorthite–diopside (AnDi) 1 atm eutectic system.
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(a) CIPW Qtz-Ab-Or diagram showing the normative compositions of all analyzed nanogranitoid melt inclusions. Symbols as in Figure 4. Black dots and lines show the eutectic points and cotectic lines for the subaluminous haplogranite system at aH2O=1 and different pressures (Holtz et al. 1992; Luth et al. 1964; Huang and Wyllie 1975). References to experimental glasses: PDJ91, 950 °C, 7 kbar (Patiño Douce and Johnston 1991); D03, 900 °C, 5 kbar (Droop et al. 2003); GC03, 675–775 °C, 6–14 kbar, H2O-present (García-Casco et al. 2003); PDH98, 700–775 °C, 6–10 kbar, H2O-present (Patiño Douce and Harris 1998); SF15: 870–950 °C, 16–30 kbar (see Ferrero et al. 2015). (b) Normative Qtz-Ab-Or diagram showing the displacement of eutectic points and cotectic lines as a function of P, aH2O, An, and Al2O3 contents. Black dots and lines as in a. Light blue arrow: effect of increasing pressure (Johannes and Holtz 1996 and references therein). Red arrows: effect of decreasing aH2O at 2, 5, and 10 kbar (white dots are eutectic points at different aH2O; Ebadi and Johannes 1991; Becker et al. 1998). Violet arrow: effect of increasing Al content at 2 kbar and aH2O = 0.5, i.e., from a subaluminous to peraluminous system (Holtz et al. 1992). Green arrow: effect of increasing An content at 2 kbar and aH2O = 0.5. With the addition of An the phase diagram changes to a eutectic system with respect to the haplogranite system with a minimum (see green lines; Wilke et al. 2015). Double gray arrow: effect of diffusive transport properties of the melt on the composition of experimental glasses (Acosta-Vigil et al. 2006). It should be noted that the addition of significant amounts of B and F to the system (&gt;1 wt%) moves eutectic points and cotectic lines toward Ab-rich compositions (Johannes and Holtz 1996). However, the effects of B and F are not reported here because these elements are present in very low amounts in the investigated MI (&lt;0.1 wt%; Acosta-Vigil et al. 2007). See text for details.
Published: 01 July 2016
Figure 9 ( a ) CIPW Qtz-Ab-Or diagram showing the normative compositions of all analyzed nanogranitoid melt inclusions. Symbols as in Figure 4 . Black dots and lines show the eutectic points and cotectic lines for the subaluminous haplogranite system at a H 2 O = 1
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Phase diagram of NaCl-H2O binary system. The eutectic point (−21.3°C) is the lowest temperature in which this binary system can contain liquid. It also is the freezing point of the solution with the eutectic concentration (23.3 wt%; 233 ppt).
Published: 29 January 2016
Figure 1. Phase diagram of NaCl - H 2 O binary system. The eutectic point ( − 21.3 ° C ) is the lowest temperature in which this binary system can contain liquid. It also is the freezing point of the solution with the eutectic concentration (23.3 wt%; 233 ppt).
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Phase relations in the Fe–FeS system. The figure shows the eutectic temperatures derived by Kamada et al. (2012) and Morard et al. (2014), liquidus (L) and solidus (S) of the O-containing system (Terasaki et al., 2011a). Symbols show the maximum parameters of the related experiment. The results obtained by Ozawa et al. (2013) show the limited pressure stability of Fe3S. The ICB temperature for Fe–Fe3S is shown in a box. For reference, the phase diagram of iron determined by Komabayashi (2014) is also shown by gray lines.
Published: 01 January 2016
Fig. 9. Phase relations in the Fe–FeS system. The figure shows the eutectic temperatures derived by Kamada et al. (2012) and Morard et al. (2014) , liquidus (L) and solidus (S) of the O-containing system ( Terasaki et al., 2011a ). Symbols show the maximum parameters of the related experiment
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Phase relations in the Fe–C system. The figure shows the eutectic Te, peritectic Tp, and melting Tm curves for the Fe–Fe3C and Fe–Fe7C3 systems determined by Lord et al. (2009), Fei and Brosh (2014). Symbols show the reference points in these systems. The experiment points determined by Tateno et al. (2010) show the stability of the Fe3C phase, which was formed by reaction between Fe and diamond in DAC. Extrapolation of Tp Fe3C to CMB conditions from Takahashi et al. (2013) is also included. The ICB temperature for Fe–Fe7C3 is shown in a box. For reference, the phase diagram of iron determined by Komabayashi (2014) is also shown by gray lines.
Published: 01 January 2016
Fig. 12. Phase relations in the Fe–C system. The figure shows the eutectic T e , peritectic T p , and melting T m curves for the Fe–Fe 3 C and Fe–Fe 7 C 3 systems determined by Lord et al. (2009) , Fei and Brosh (2014) . Symbols show the reference points in these systems. The experiment
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Phase diagram of the iron-carbon system showing the eutectic composition (solid circles) at different pressures. Note the decrease in observed carbon content at the eutectic to 50 GPa and that the 130 GPa diagram is an extrapolation.
Published: 01 January 2013
Figure 4 Phase diagram of the iron-carbon system showing the eutectic composition (solid circles) at different pressures. Note the decrease in observed carbon content at the eutectic to 50 GPa and that the 130 GPa diagram is an extrapolation.
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Fig. 6
Published: 01 May 2012
Fig. 6 Pressure evolution of the eutectic composition in the Fe-FeS system; data are from Morard et al. [2007 ]; Usselman [1975 ]; Stewart et al. [2007 ]; Chudinovskikh and Boehler [2007 ], the shaded area indicate the total content of light elements in the outer core (10±5%). Insets : Fe
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Eutectic phase diagram for the binary A-B system illustrating (a) distinct concentration regions; (b) crystal growth by the slow cooling method and the thermal gradient method with stable (c) and metastable (d) polymorphs as a source material.
Published: 01 January 2010
F igure 1. Eutectic phase diagram for the binary A-B system illustrating (a) distinct concentration regions; (b) crystal growth by the slow cooling method and the thermal gradient method with stable (c) and metastable (d) polymorphs as a source material.
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A sketch of track etching system for zircon using the eutectic NaOH:KOH etchant (after Tagami et al. 1988b). Temperature of the etchant is kept at 221° ± 2 °C with the help of a temperature controller and a thermocouple (CA sensor #1) inserted to the center of the Aluminum hot plate, for which temperature is controlled to 252° ± &lt;1 °C. Stability of temperature with time can be monitored by connecting the output of thermocouple to x-t recorder. In order to monitor the temperature of etchant, another similar thermocouple (CA sensor #2, with teflon coating on its end) is dipped in the etchant inside the beaker and its output is also fed to the x-t recorder.
Published: 01 January 2005
Figure 6. A sketch of track etching system for zircon using the eutectic NaOH:KOH etchant (after Tagami et al. 1988b ). Temperature of the etchant is kept at 221° ± 2 °C with the help of a temperature controller and a thermocouple (CA sensor #1) inserted to the center of the Aluminum hot plate
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(a) Conceptual binary phase diagram showing a simple eutectic along with different bulk compositions 1, 2, and 3. Composition is on the x-axis and temperature on the y-axis. (b) Conceptual representation of melt productivity, where melt fraction (F) is plotted versus temperature. Curves labeled 1 through 3 correspond to melt productivity for the different bulk compositions noted in (a). In a simple binary with pure phases, melting begins at the eutectic temperature for all bulk compositions, and the system is not allowed to increase in temperature until one of the solid phases is consumed. In natural, multicomponent systems, melting is more complicated, but the overall behavior is still captured with this simple binary system. Importantly, if the bulk composition is of eutectic composition, melting occurs at the eutectic and over a small temperature range. Compositions that are far from the eutectic composition can only undergo high-degree melting if temperature increases well above the eutectic. Pyroxenite dikes in the lithospheric mantle formed as trapped melts would have near-eutectic bulk compositions and thus could undergo high degree remelting without significant increase in temperature.
Published: 28 November 2022
temperature. Curves labeled 1 through 3 correspond to melt productivity for the different bulk compositions noted in (a). In a simple binary with pure phases, melting begins at the eutectic temperature for all bulk compositions, and the system is not allowed to increase in temperature until one of the solid
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Representation of the isotherms and invariant curves in the H2O-NaCl calculated from thermodynamic modeling. E and P, respectively, eutectic and peritectic (ice + hH + L) points of the H2O-NaCl system (Linke, 1958). E’, P’1, respectively, eutectic and peritectic (Li5 + Li3 + L) points of the H2O-LiCl system (Monnin et al., 2002). Ternary invariant points (Akopov, 1963): E”= eutectic point of the ternary system; P”1 = peritectic (Li5 + H + hH + L); P”2 = peritectic (Li5 + Li3 + H + L). Cross = position of the synthetic fluid inclusions performed in the present study.
Published: 01 March 2010
F ig . 6. Representation of the isotherms and invariant curves in the H 2 O-NaCl calculated from thermodynamic modeling. E and P, respectively, eutectic and peritectic (ice + hH + L) points of the H 2 O-NaCl system ( Linke, 1958 ). E’, P’ 1 , respectively, eutectic and peritectic (Li5 + Li3 + L
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Solubility data for the H2O-NaCl-LiCl system for ∑m &lt;12 mol/kg except data of Kindyakov et al. (1958) for reasons discussed in text. Li number refers to the hydrate including no. of water molecules. Abbreviations: hH = hydrohalite, H = halite, E and P, respectively, eutectic and peritectic (H + hH + L) points of the H2O-NaCl system (Linke, 1958). E’, P’1, respectively, eutectic and peritectic (Li5 + Li3 + L) points of the H2O-LiCl system (Monnin et al., 2002). Ternary invariant points (Akopov, 1963): E” = eutectic point of the ternary system; P’1 = peritectic (Li5 + H + hH + L); P’2 = peritectic (Li3 + H + Li5 + L). Experiments carried out in this study are also displayed.
Published: 01 March 2010
F ig . 3. Solubility data for the H 2 O-NaCl-LiCl system for ∑m <12 mol/kg except data of Kindyakov et al. (1958) for reasons discussed in text. Li number refers to the hydrate including no. of water molecules. Abbreviations: hH = hydrohalite, H = halite, E and P, respectively, eutectic
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Scheme for the transition of metastable two-liquid immiscibility into the stable state when the AB binary system of type 2 (pQ) is complicated by the addition of the third nonvolatile component C, after (Valyashko, 1990): binary (a) and pseudobinary (b, c) sections for systems with the variable B/C ratio are shown on triangles; a–c, PT-projections of equilibria for corresponding sections. CpA and CpB are critical points for pure components A and B; TpA and TpB, triple points for pure components A and B. EBC, Binary anhydrous eutectic. EABC, Ternary eutectic; EAB, pAB, QAB, eutectics and critical points of the binary system AB. Points of the immiscibility region: N, critical point L1 = L2 of metastable immiscibility; R, equilibrium G + L1 + L2 of metastable and stable immiscibility of nonsaturated liquid; L, L1 + L2 equilibrium in the presence of B crystals; M, critical point L1 = L2 + SB of stable immiscibility For simplicity, the equilibria of the pure component C or the line of binary eutectics EBC are not shown. Lines are designated as in Fig. 1.
Published: 01 September 2015
eutectic; E AB , p AB , Q AB , eutectics and critical points of the binary system AB. Points of the immiscibility region: N, critical point L 1 = L 2 of metastable immiscibility; R, equilibrium G + L 1 + L 2 of metastable and stable immiscibility of nonsaturated liquid; L , L 1 + L 2
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Triangular diagram showing the Or–Q–Ab normative (CIPW) composition of the Zebra pegmatite (red dot), plotted in the diagram showing the progression of the quaternary isobaric minimum and the quaternary isobaric eutectic in the granite system with the increasing values of P(H2O). The crosses indicate isobaric minimum, circles indicate isobaric eutectic, according to Luth et al. (1964). The combined influence of H2O, fluorine, and boron dissolved in the melt at a pressure of about 3.5 kbar has displaced the eutectic point close to the red dot.
Published: 21 December 2020
Fig. 8. Triangular diagram showing the Or–Q–Ab normative (CIPW) composition of the Zebra pegmatite (red dot), plotted in the diagram showing the progression of the quaternary isobaric minimum and the quaternary isobaric eutectic in the granite system with the increasing values of P (H 2 O
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SEM/SEI images of a fresh fracture surface revealing the “broken lamellar” microstructure (CFS index 3) for the system H2O‐Na2SO4. The samples in these two images have a bulk composition of 4 wt% Na2SO4 (the eutectic composition). (a) Low-magnification image: primary ice-I grains (single-phase regions showing conchoidal fracture morphology) are separated by regions of two-phase eutectic. (b) Detail of eutectic: the lighter phase in relief (blade morphology) is mirabilite and the darker phase is ice-I. Although the volume fraction of hydrate calculated for a sample at the eutectic composition is 0.06, the areal fraction on local scales is closer to 0.10.
Published: 01 October 2007
F igure 7. SEM/SEI images of a fresh fracture surface revealing the “broken lamellar” microstructure (CFS index 3) for the system H 2 O‐Na 2 SO 4 . The samples in these two images have a bulk composition of 4 wt% Na 2 SO 4 (the eutectic composition). (a) Low-magnification image: primary ice
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(a) Ternary eutectic for the case of pure diopside (Di; CaMgSi2O6), forsterite (Fo; Mg2SiO4) and anorthite (An; CaAl2Si2O8), adapted from Morse (1980). Temperature contours are shown as dashed lines; the three heavy dark lines are “cotectic” curves that indicate the temperature and compositions of co-saturation of An + Ol, Di + Ol and An + Di; these intersect at the eutectic composition. For any combination of the three minerals, Di, Fo and An, melting will begin at the eutectic, at 1270 °C. (b) A more realistic ternary, the plagioclase-saturated (“+ plag”) Di–Ol–Qtz (SiO2) system; melting will begin at a red dot, the precise position of which depends upon pressure (adapted from Stolper 1980); curves show the positions of the cotectic curves at 1 atmosphere and 10, 15 and 20 kbar.
Published: 01 July 2024
Figure 3. (a) Ternary eutectic for the case of pure diopside (Di; CaMgSi 2 O 6 ), forsterite (Fo; Mg 2 SiO 4 ) and anorthite (An; CaAl 2 Si 2 O 8 ), adapted from Morse (1980) . Temperature contours are shown as dashed lines ; the three heavy dark lines are “cotectic” curves that indicate