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Related Concept Videos

Valence Bond Theory02:42

Valence Bond Theory

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...
Valence Bond Theory02:45

Valence Bond Theory

Overview of Valence Bond Theory
Lattice Energies of Ionic Crystals01:27

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
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Metallic bonds are formed between two metal atoms. A simplified model to describe metallic bonding has been developed by Paul Drüde called the “Electron Sea Model”.
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Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
Band Theory02:35

Band Theory

When two or more atoms come together to form a molecule, their atomic orbitals combine and molecular orbitals of distinct energies result. In a solid, there are a large number of atoms, and therefore a large number of atomic orbitals that may be combined into molecular orbitals. These groups of molecular orbitals are so closely placed together to form continuous regions of energies, known as the bands.
The energy difference between these bands is known as the band gap.
Conductor, Semiconductor,...

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Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
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Mott transition in a valence-bond solid insulator with a triangular lattice.

Y Shimizu1, H Akimoto, H Tsujii

  • 1RIKEN, Wako, Saitama 351-0198, Japan.

Physical Review Letters
|February 1, 2008
PubMed
Summary

This study explores the Mott transition in a spin-frustrated material, revealing a valence-bond solid phase near superconductivity. Unlike other Mott insulators, its metallic phase shows unusual resistivity, rho=rho{0}+AT(2.5).

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Quantum magnetism

Background:

  • Mott insulators are materials that should be metallic based on band theory but are insulating due to electron-electron interactions.
  • Understanding Mott transitions is crucial for developing novel electronic materials.
  • Spin frustration in a triangular lattice can lead to exotic electronic phases.

Purpose of the Study:

  • To investigate the Mott transition in a quasi-two-dimensional Mott insulator, EtMe3P[Pd(dmit)2]2, under hydrostatic pressure and magnetic fields.
  • To map the pressure-temperature (P-T) phase diagram and identify emergent phases.
  • To characterize the electronic transport properties, particularly resistivity, in the metallic phase.

Main Methods:

  • Synthesis and characterization of the quasi-two-dimensional Mott insulator EtMe3P[Pd(dmit)2]2.
  • Application of hydrostatic pressure and magnetic fields to induce and control phase transitions.
  • Electrical resistivity measurements as a function of temperature and pressure.

Main Results:

  • A valence-bond solid phase was identified adjacent to the superconductor and metal phases at low temperatures in the P-T phase diagram.
  • The observed phase diagram shares similarities with Mott insulators exhibiting antiferromagnetic order.
  • The metallic phase displays anomalous temperature-dependent resistivity: rho=rho{0}+AT(2.5), deviating from typical antiferromagnetic Mott insulators.

Conclusions:

  • The compound EtMe3P[Pd(dmit)2]2 exhibits a complex phase diagram featuring a valence-bond solid phase.
  • The anomalous resistivity in the metallic phase suggests unique electronic correlations beyond simple antiferromagnetism.
  • Further research is needed to fully understand the nature of the spin frustration and its impact on the Mott transition in this system.