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Continuous functions exhibit smooth, uninterrupted behavior, and combining them through standard operations retains this continuity. If f and g are continuous at a point a, then the functions f+g, f-g, cf (where c is a constant), fg, and fg (provided g(a)a) are also continuous at a. This allows the construction of complex functions from simpler continuous parts without losing smoothness.Polynomials, which are expressions formed by sums of powers of x with constant coefficients, are continuous...
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Embonic Acid Functionalized Niobium Complexes with Selective Dye Sorption Properties.

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New niobium (Nb) and titanium (Ti) metal clusters, including a large Nb12 cluster, were synthesized. The Nb12 cluster shows a stable, porous structure capable of selectively adsorbing methylene blue dye.

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Area of Science:

  • Inorganic Chemistry
  • Materials Science
  • Nanotechnology

Background:

  • Niobium and titanium oxides are crucial in catalysis and materials science.
  • Designing polynuclear metal clusters with specific structures and functionalities remains a challenge.

Purpose of the Study:

  • To synthesize and characterize novel binuclear, tetranuclear, and dodecanuclear niobium and titanium complexes.
  • To investigate the structural features and properties of these metal clusters, particularly the dodecanuclear Nb12 cluster.

Main Methods:

  • Synthesis of binuclear Nb2, tetranuclear Ti2Nb2, and dodecanuclear Nb12 complexes using embonic acid ligands.
  • Structural characterization of the complexes.
  • Evaluation of the Nb12 cluster's stability in water and its adsorption properties.

Main Results:

  • Successfully synthesized Nb2, Ti2Nb2, and Nb12 complexes featuring Ti-O-Nb or Nb-O-Nb subunits.
  • The dodecanuclear Nb12 cluster exhibits a porous 3D framework and remarkable stability in aqueous environments.
  • The Nb12 cluster demonstrated selective uptake of methylene blue over rhodamine B.

Conclusions:

  • Embonic acid is an effective ligand for constructing polynuclear niobium and titanium clusters.
  • The Nb12 cluster represents a novel porous material with potential applications in selective dye adsorption and water treatment.