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Structure of Benzene: Molecular Orbital Model01:18

Structure of Benzene: Molecular Orbital Model

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According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
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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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Conjugated dienes have lower heats of hydrogenation than cumulated and isolated dienes, making them more stable. The enhanced stabilization of conjugated systems can be understood from their π molecular orbitals.
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When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
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Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
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Updated: Jun 17, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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Atomic-Resolution Vibrational Mapping of Bilayer Borophene.

Hui Li1, Levi C Felix2, Qiucheng Li1

  • 1Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208, United States.

Nano Letters
|August 14, 2024
PubMed
Summary

Researchers mapped bilayer borophene

Keywords:
BL-α boropheneCO-functionalized tipinelastic electron tunneling spectroscopyscanning tunneling microscopyscanning tunneling spectroscopy

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Two-dimensional (2D) boron nanomaterials, including borophene, are a rapidly growing field.
  • Synthesis of borophene beyond the monolayer limit presents new opportunities for advanced materials.
  • Understanding the properties of few-layer borophene is crucial for its technological applications.

Purpose of the Study:

  • To investigate the vibrational and electronic properties of bilayer borophene at the atomic scale.
  • To explore the interlayer bonding and unique characteristics of bilayer borophene.
  • To correlate experimental vibrational data with theoretical calculations.

Main Methods:

  • Utilizing inelastic electron tunneling spectroscopy (IETS) with a functionalized scanning tunneling microscopy (STM) tip.
  • Atomic-resolution topographic imaging and IETS on bilayer-α (BL-α) borophene on Ag(111).
  • Comparison of experimental results with density functional theory (DFT) calculations.

Main Results:

  • IETS spectra of BL-α borophene exhibit unique features distinct from single-layer borophene and standard CO vibrations.
  • Specific vibrational spectra were observed for different atomic arrangements (hollow and filled boron hexagons) within the unit cell.
  • Evidence of interlayer bonding in BL-α borophene was identified through distinct vibrational signatures.

Conclusions:

  • Atomic-scale IETS successfully resolves low-energy vibrational and electronic properties of BL-α borophene.
  • Distinct vibrational spectra confirm interlayer interactions and structural variations within bilayer borophene.
  • The study provides insights into the interplay between vibrational modes and electronic states in 2D boron materials.