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Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to...
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The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...
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Phase Transitions: Sublimation and Deposition02:33

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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Phase Transitions: Melting and Freezing02:39

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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
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High-Temperature Isostructural Phase Transition in Ce2(MoO4)3: A Rare Phenomenon Investigated through X‑ray

Zeyna Dos Santos Viegas1, Alan Silva de Menezes1, Cleânio Luz-Lima2

  • 1Departamento de Física, Centro de Ciências Exatas e Tecnologia, Universidade Federal do Maranhão, CEP 65080-800 São Luís, MA, Brazil.

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|January 26, 2026
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Cerium-(III) molybdate (Ce2(MoO4)3) exhibits a rare isostructural phase transition at high temperatures. This study investigated its thermal behavior, revealing insights into Scheelite-type compounds for materials science.

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Area of Science:

  • Materials Science
  • Solid State Chemistry
  • Rare-Earth Chemistry

Background:

  • Cerium-(III) molybdate (Ce2(MoO4)3) has industrial applications but its high-temperature behavior is unknown.
  • Understanding thermal properties is crucial for advanced material development.

Purpose of the Study:

  • To investigate the in situ temperature-dependent structural and spectroscopic properties of Ce2(MoO4)3.
  • To identify and characterize any phase transitions under extreme temperatures.

Main Methods:

  • Hydrothermal synthesis.
  • In situ temperature-dependent powder X-ray diffraction (PXRD) and Raman spectroscopy.
  • Scanning electron microscopy (SEM) and UV-vis diffuse reflectance spectroscopy.

Main Results:

  • Successful hydrothermal synthesis of crystalline Ce2(MoO4)3 confirmed.
  • Stable low-temperature phase (13-303 K) identified.
  • Anomalies in lattice parameters, microstrain, and crystallite size above 583 K.
  • Emergence of a new band in Raman spectra at 452 cm⁻¹ above 848 K, indicating an isostructural phase transition (IPT).

Conclusions:

  • Ce2(MoO4)3 undergoes a rare isostructural phase transition at high temperatures.
  • Findings enhance understanding of Scheelite-type compounds.
  • Potential for developing novel materials with unique thermal properties.