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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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Color in Coordination Complexes
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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...
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Semiconductors01:22

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There is variation in the electrical conductivity of materials - metals, semiconductors, and insulators that are showcased with the help of the energy band diagrams.
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Crystal Field Theory
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Three-particle complexes in two-dimensional semiconductors.

Bogdan Ganchev1, Neil Drummond1, Igor Aleiner1,2

  • 1Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.

Physical Review Letters
|March 28, 2015
PubMed
Summary
This summary is machine-generated.

Trions (charged excitons) in 2D materials are more stable than other excitons, showing greater resilience to heat. This finding impacts understanding of excitonic complexes in advanced materials.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Excitons and trions are fundamental quasiparticles in 2D materials.
  • Understanding their binding energies and stability is crucial for device applications.
  • Previous studies have explored exciton behavior, but trion stability requires further investigation.

Purpose of the Study:

  • To calculate and compare the binding energies of trions (X±) and other charged excitonic complexes (X^D(A)) in 2D atomic crystals.
  • To determine the relative resilience of these quasiparticles to thermal dissociation.
  • To provide insights into the optical properties and stability of excitonic species in transition metal dichalcogenide monolayers.

Main Methods:

  • A novel boundary-matching-matrix method was developed to solve the 3D potential problem.
  • The 2D three-body problem for excitons and trions was mapped onto a 1-particle problem in a 3D potential.
  • Calculations were performed for monolayers of transition metal dichalcogenides.

Main Results:

  • Trions (X±) exhibit significantly larger dissociation energies compared to localized exciton complexes (X^D(A)).
  • Trions demonstrate greater resilience to heating than other exciton complexes.
  • The optical recombination line of trions is less redshifted from the exciton line than that of X^D(A).

Conclusions:

  • Trions are more thermally stable quasiparticles in 2D atomic crystals than previously assumed.
  • The enhanced stability of trions has implications for their observation and utilization in optoelectronic devices.
  • The developed theoretical method provides a powerful tool for investigating few-body physics in low-dimensional materials.