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Related Concept Videos

Fermi Level01:18

Fermi Level

The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
Fermi Level Dynamics01:12

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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
Energy Bands in Solids01:01

Energy Bands in Solids

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.
 Band Formation:
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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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Related Experiment Video

Updated: May 18, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Floating electron states in covalent semiconductors.

Yu-ichiro Matsushita1, Shinnosuke Furuya, Atsushi Oshiyama

  • 1Department of Applied Physics, The University of Tokyo, Tokyo 113-8656, Japan.

Physical Review Letters
|September 26, 2012
PubMed
Summary

Electron states in covalent semiconductors unexpectedly float in interstitial channels, not near atoms. This discovery explains variations in semiconductor energy gaps based on crystal structure.

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Area of Science:

  • Solid-state physics
  • Materials science
  • Quantum chemistry

Background:

  • Conventional understanding assumes electron states in semiconductors are localized near atomic sites.
  • Previous models did not account for the spatial distribution of electron wave functions in interstitial regions.
  • Understanding electron state localization is crucial for predicting semiconductor properties.

Purpose of the Study:

  • To investigate the spatial distribution of electron states in covalent semiconductors using first-principles calculations.
  • To clarify the 'floating nature' of electron wave functions.
  • To explain the observed variations in energy gaps across different semiconductor crystal structures.

Main Methods:

  • First-principles electronic-structure calculations.
  • Density Functional Theory (DFT) or similar quantum mechanical methods.
  • Analysis of wave function distribution in interstitial channels.

Main Results:

  • Electron wave functions for several conduction and valence band states, including conduction-band minima, are found to 'float' in interstitial channels.
  • This floating behavior is prevalent in most covalent semiconductors.
  • The orientation and geometry of these interstitial channels are dictated by the crystal symmetry.
  • The spatial distribution of electron states directly influences the material's electronic band structure.

Conclusions:

  • The 'floating nature' of electron states is a fundamental property of covalent semiconductors.
  • This phenomenon provides a natural explanation for the variation in energy gaps observed in different silicon carbide (SiC) polymorphs.
  • The findings necessitate a revision of how electron states are visualized and modeled in semiconductor physics.
  • This work opens new avenues for designing semiconductors with tailored electronic properties.