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Crystal Field Theory - Octahedral Complexes02:58

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Electron configurations and orbital diagrams can be determined by applying the Aufbau principle (each added electron occupies the subshell of lowest energy available), Pauli exclusion principle (no two electrons can have the same set of four quantum numbers), and Hund’s rule of maximum multiplicity (whenever possible, electrons retain unpaired spins in degenerate orbitals).
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High-Sensitivity Nuclear Magnetic Resonance at Giga-Pascal Pressures: A New Tool for Probing Electronic and Chemical Properties of Condensed Matter under Extreme Conditions
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Crystal structural evolution of Ru3Sn7under pressure and its implication on possible electronic changes.

K A Irshad1, Anees Pazhedath2, Hrudananda Jena2

  • 1Elettra-Sincrotrone Trieste S.C.p.A. S.S. 14 Km 163, 5 in Area Science Park, Basovizza, 34149 Trieste, Italy.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|December 17, 2025
PubMed
Summary

High pressure studies reveal Ru3Sn7 maintains its cubic structure up to 20 GPa. Researchers observed significant electron-phonon coupling strengthening and d-p hybridization, impacting compressibility and catalytic properties.

Keywords:
Raman spectroscopyab-initio density functional theory calculationselectronic structurehigh-pressurepressure-induced electron–phonon couplingsynchrotron x-ray diffraction

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • High-Pressure Physics

Background:

  • Ru3Sn7 is an intermetallic compound with notable catalytic properties and complex electronic structure.
  • Its behavior under high pressure (HP) is of interest due to potential applications.

Purpose of the Study:

  • To investigate the structural, vibrational, and electronic properties of Ru3Sn7 under HP up to ~20 GPa.
  • To understand the underlying mechanisms of observed changes in compressibility and electron-phonon coupling.

Main Methods:

  • Synchrotron x-ray powder diffraction for structural analysis.
  • Micro-Raman spectroscopy for vibrational studies.
  • Density functional theory (DFT) calculations for electronic band structure and phonon dispersion.

Main Results:

  • The cubic structure of Ru3Sn7 remains stable up to ~20 GPa, despite local structural changes around 8 GPa.
  • A significant strengthening of electron-phonon coupling (EPC) was detected starting at 3 GPa.
  • DFT calculations confirmed the stability of the cubic phase and predicted pressure-induced d-p hybridization.

Conclusions:

  • Ru3Sn7 exhibits remarkable structural stability under high pressure.
  • Pressure-induced d-p hybridization and enhanced EPC are key factors influencing its physical properties.
  • These findings provide insights into the behavior of Ru3Sn7 for potential catalytic applications.