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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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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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The hemoglobin in the blood, the chlorophyll in green plants, vitamin B-12, and the catalyst used in the manufacture of polyethylene all contain coordination compounds. Ions of the metals, especially the transition metals, are likely to form complexes.
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Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
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Exploring Polymorphism in Metal Carbodiimides from Graph Theory.

Juan Medina-Jurado1, Moritz Köller1, Hicham Bourakhouadar1

  • 1Chair of Solid-State and Quantum Chemistry, Institute of Inorganic Chemistry, RWTH Aachen University, 52056 Aachen, Germany.

Inorganic Chemistry
|October 31, 2025
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Summary
This summary is machine-generated.

We introduce topological complexity to explore polymorphism in metal-carbodiimide materials. This approach led to discovering new Y2(NCN)3 and Li2Sn(NCN)3 structures, aiding rational material design.

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Area of Science:

  • Solid-state chemistry
  • Materials science
  • Crystallography

Background:

  • Synthesizing materials with the molecular anion NCN2- is challenging due to metastability.
  • Polymorphism in NCN-based materials is rare, limiting structural and functional exploration.

Purpose of the Study:

  • To apply graph theory's topological complexity concept for exploring metal-carbodiimide polymorphism.
  • To synthesize and characterize new polymorphic forms of NCN-based compounds.

Main Methods:

  • Utilized topological complexity analysis from graph theory.
  • Synthesized new Y2(NCN)3 and Li2Sn(NCN)3 phases.
  • Characterized structures using crystallographic methods.
  • Investigated phase transitions via thermal analysis.

Main Results:

  • Reported a new trigonal polymorph of Y2(NCN)3 (R3̅c symmetry).
  • Discovered a novel metastable hexagonal polymorph of Li2Sn(NCN)3 (P63/mmc symmetry), the first ternary carbodiimide polymorphism.
  • Observed a hexagonal to orthorhombic phase transition in Li2Sn(NCN)3.
  • Found that new polymorphs possess simpler topological structures and form at lower temperatures (~350 °C).

Conclusions:

  • Topological complexity is a viable tool for designing synthetic conditions and predicting NCN-based materials.
  • The findings expand the understanding of polymorphism in metal-carbodiimides.
  • This approach facilitates the rational design of novel solid-state materials.