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Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
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    The Eu2O3-In2O3 phase diagram reveals a compound melting congruently at 1745°C. This study characterizes the compound

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    Area of Science:

    • Materials Science
    • Solid State Chemistry

    Background:

    • Understanding rare-earth oxide systems is crucial for advanced materials.
    • The Eu2O3-In2O3 system's phase behavior was previously uncharacterized.

    Purpose of the Study:

    • To determine the equilibrium phase diagram for the Eu2O3-In2O3 system.
    • To identify phase compositions, melting points, and structural properties.

    Main Methods:

    • High-temperature experiments using an induction furnace with an iridium crucible.
    • Determination of solidus and liquidus curves.
    • X-ray diffraction for structural analysis.

    Main Results:

    • A 1:1 compound (Eu2O3·In2O3) melts congruently at 1745 ± 10 °C.
    • The compound exhibits solid solution ranges and a pseudohexagonal structure (aH = 3.69 Å, cH = 12.38 Å).
    • A eutectic point was identified at 1730 °C with approximately 73 mole percent In2O3.

    Conclusions:

    • The Eu2O3-In2O3 system features a stable compound with significant solid solution extents.
    • Isostructural phases were observed in related Gd2O3 and Dy2O3 systems, suggesting broader trends.
    • The determined phase diagram provides essential data for applications involving these oxides.