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Related Concept Videos

Complexation Equilibria: Factors Influencing Stability of Complexes01:09

Complexation Equilibria: Factors Influencing Stability of Complexes

In complexation reactions, metal cations are the electron pair acceptors, and the ligands are the electron pair donors. The stability of the metal complexes depends primarily on the complexing ability of the central metal ion and the nature of the ligands. Generally, the complexing ability of the metal ion depends on the size and charge of the ion. As the metal ion size increases, the stability of the metal complexes decreases, provided that the valency of the metal ion and the ligands remain...
Relative Stabilities of Alkenes01:59

Relative Stabilities of Alkenes

The relative stability of alkenes can be determined by comparing their heats of hydrogenation. The lower heat of hydrogenation indicates the more stable alkene.  The three main factors determining the relative stability of alkenes are i) the number of substituents attached to the double-bond carbon atoms, ii) hyperconjugation, and iii) the stereochemistry of the double bond.
Structural Isomerism02:34

Structural Isomerism

Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula. Structural isomerism of coordination compounds can be divided into two subcategories, the linkage isomers and coordination-sphere isomers.
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Metallic Solids02:37

Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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An acid can be deprotonated to form a conjugate base or an anion. If the produced anion is more stable, then the acid is stronger. On the contrary, if the anion is unstable, then the acid is weaker. Hence, to determine the acidity of the compound, the stability of its conjugate base is studied using various factors.
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Updated: May 28, 2026

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Incommensurate structure of AlPO4-5 and its stability.

Kazuki Komatsu1, Takuji Ikeda2, Tetsuya Kodaira3

  • 1Geochemical Research Center, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, Tokyo, 113-0033, Japan.

Acta Crystallographica Section B, Structural Science, Crystal Engineering and Materials
|May 27, 2026
PubMed
Summary

The incommensurate structure of Aluminum Phosphate-5 (AlPO₄-5) exhibits satellite reflections due to water desorption under vacuum. These reflections arise from correlated tetrahedral rotations, linking spatial modulations to temporal dynamics.

Keywords:
AlPO4-5Incommensurate structuresingle-crystal X-ray diffraction

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Area of Science:

  • Solid-state chemistry
  • Materials science
  • Crystallography

Background:

  • Aluminum Phosphate-5 (AlPO₄-5) is known to exhibit complex structural behavior.
  • Understanding its incommensurate structure and stability is crucial for its applications.

Purpose of the Study:

  • To investigate the incommensurate structure of AlPO₄-5 and its stability.
  • To elucidate the origin of the observed structural modulations.

Main Methods:

  • Single-crystal X-ray diffraction under varying conditions (ambient, vacuum, temperature).
  • Raman scattering measurements focusing on O-H stretching.
  • Analysis of satellite reflections and systematic absences.
  • Refinement of positional modulation amplitudes in superspace.

Main Results:

  • Satellite reflections in AlPO₄-5 are enhanced by vacuum, attributed to water desorption.
  • These reflections disappear above 335 K and reappear upon cooling.
  • Analysis of a dehydrated sample revealed a (3+1)D superspace group P6(00γ)h.
  • Modulation originates from correlated rotational displacements of AlO₄ and PO₄ tetrahedra.

Conclusions:

  • The structural modulation in AlPO₄-5 is linked to correlated tetrahedral rotations.
  • Phonon-like motions persist over long modulation periods, causing satellite reflections.
  • A fundamental connection exists between spatial descriptions of incommensurate structures and temporal dynamics.