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Related Concept Videos

Bewley Lattice Diagram01:12

Bewley Lattice Diagram

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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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Trends in Lattice Energy: Ion Size and Charge02:54

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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:
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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
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Energy Bands in Solids01:01

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Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
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Mohr's Circle for Plane Strain01:18

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Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
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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.
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Related Experiment Video

Updated: Jun 26, 2025

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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Disorder effects on flatbands in moiré superlattices.

Xiaoshuang Xia, Qian Liu, Bingsuo Zou

    Optics Letters
    |May 15, 2024
    PubMed
    Summary

    Structural disorder in moiré superlattices affects flatbands. We found that while average flatband positions are stable, disorder broadens the density of states, with different behaviors for bandgap and dispersive flatbands.

    Area of Science:

    • Condensed Matter Physics
    • Materials Science
    • Nanotechnology

    Background:

    • Moiré superlattices exhibit exotic phenomena driven by flatbands.
    • Structural disorders can significantly alter flatbands, diminishing their importance.
    • Understanding disorder effects on flatbands is crucial for controlling moiré superlattice properties.

    Purpose of the Study:

    • To investigate the impact of structural disorder on flatbands in silicon-based mismatched moiré superlattices.
    • To analyze how varying levels of disorder affect the spectral positions and density of states (DOS) of flatbands.
    • To differentiate the response of various flatband types to structural imperfections.

    Main Methods:

    • Fabrication of silicon-based mismatched moiré superlattices with controlled disorder levels.

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  • Numerical simulations to model the effects of random positional perturbations of silicon strips.
  • Ensemble averaging of spectral properties to analyze disorder effects.
  • Analysis of density of states (DOS) profiles and bandgap characteristics.
  • Main Results:

    • Average spectral positions of four flatbands remain stable despite increasing disorder.
    • Disorder transforms sharp, delta-like DOS into finite-width envelopes.
    • The width of the DOS envelope increases with disorder level.
    • Bandgap flatbands show saturated width increase, while dispersive-band-crossed flatbands exhibit linear width increase with disorder.

    Conclusions:

    • Flatbands in moiré superlattices exhibit distinct responses to structural disorder.
    • Bandgap and dispersive-band-crossed flatbands have fundamentally different perturbation characteristics.
    • Insights into disorder effects provide new perspectives for designing and utilizing partially disordered moiré superlattices.