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Atomic Structure01:33

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Atoms — and the protons, neutrons, and electrons that compose them — are extremely small. For example, a carbon atom weighs less than 2 × 10−23 g. When describing the properties of tiny objects such as atoms, we use appropriately small units of measure, such as the atomic mass unit (amu). The amu was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. Since 1961, it has been defined with regard to the most abundant isotope of carbon, atoms of which...
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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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Updated: Feb 8, 2026

Quantitative Atomic-Site Analysis of Functional Dopants/Point Defects in Crystalline Materials by Electron-Channeling-Enhanced Microanalysis
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Nondestructive Atomic Defect Quantification of Two-Dimensional Materials and Devices.

Yucheng Yang1, Kaikui Xu1, Tara Peña2

  • 1Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556, United States.

ACS Applied Materials & Interfaces
|February 6, 2026
PubMed
Summary
This summary is machine-generated.

Lateral force microscopy (LFM) offers a fast, nondestructive method to map atomic defects in 2D semiconductors like WSe2 and WS2. This technique surpasses Raman spectroscopy sensitivity, aiding material growth and device fabrication analysis.

Keywords:
2D materialsRaman spectroscopyatomic force microscopydefectsdevicestransition metal dichalcogenides

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Surface Science

Background:

  • Characterizing atomic defects in 2D semiconductors is vital for optimizing growth and device performance.
  • Current defect metrology methods are often slow, destructive, or lack sufficient sensitivity.

Purpose of the Study:

  • To introduce and validate lateral force microscopy (LFM) as a nondestructive technique for atomic defect characterization in 2D materials.
  • To assess LFM's sensitivity and applicability across various 2D materials, substrates, and device structures.

Main Methods:

  • Utilized lateral force microscopy (LFM) to map surface defects in monolayer tungsten diselenide (WSe2) and tungsten disulfide (WS2).
  • Applied LFM to materials on silicon dioxide (SiO2) and sapphire substrates, as well as in WSe2 transistors.
  • Compared LFM defect detection limits with conventional Raman spectroscopy.

Main Results:

  • LFM successfully mapped surface defects in WSe2 and WS2 on different substrates and in transistors.
  • The technique detected defect densities significantly lower than those measurable by Raman spectroscopy.
  • LFM revealed higher defect densities in WSe2 transistors compared to as-grown films, indicating fabrication-induced defects.
  • Demonstrated LFM's capability to detect defects in suspended and polymer-supported 2D materials.

Conclusions:

  • Lateral force microscopy (LFM) is a highly sensitive, nondestructive method for atomic defect characterization in 2D semiconductors.
  • LFM provides valuable insights for monitoring 2D material growth and identifying defects introduced during device fabrication.
  • This technique broadens the scope of defect metrology for advanced 2D material applications.