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The Quantum-Mechanical Model of an Atom02:45

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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...
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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
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An atom comprises protons and neutrons, which are contained inside the dense, central core called the nucleus, with electrons present around the nucleus. Taking into account the wave–particle duality of electrons and the uncertainty in position around the nucleus, quantum mechanics provides a more accurate model for the atomic structure. It describes atomic orbitals as the regions around the nucleus where electrons of discrete energy exist, characterized by four quantum...
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Electrons are negatively charged subatomic particles attracted to and orbit around the positively-charged nucleus of an atom. They reside in spaces associated with energy levels called shells and are further organized into subshells and orbitals within each shell.
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Physical model for recognition tunneling.

Predrag Krstić1, Brian Ashcroft, Stuart Lindsay

  • 1Institute for Advanced Computational Science, Stony Brook University, Stony Brook, NY 11794-5250, USA.

Nanotechnology
|February 5, 2015
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Summary
This summary is machine-generated.

Recognition tunneling (RT) uses specific molecular linkages to identify target molecules between electrodes. This study provides a theoretical basis for RT

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Area of Science:

  • Nanotechnology
  • Molecular Biology
  • Computational Chemistry

Background:

  • Recognition tunneling (RT) is an emerging technique for single-molecule identification.
  • RT relies on specific chemical interactions between target molecules and functionalized electrodes.
  • Potential applications include DNA and protein sequencing.

Purpose of the Study:

  • To theoretically investigate fundamental aspects of recognition tunneling.
  • To validate RT current magnitudes using computational models.
  • To explore the role of molecular fluctuations in RT signals and molecular identification.

Main Methods:

  • Utilized multiscale theoretical modeling, including all-atom and coarse-grained DNA models.
  • Performed non-equilibrium Green's function calculations on solvated all-atom models.
  • Applied machine learning algorithms to analyze fluctuation frequency characteristics.

Main Results:

  • RT current magnitudes are consistent with all-atom non-equilibrium Green's function calculations.
  • Brownian fluctuations in hydrogen bond lengths generate current spikes observed experimentally.
  • Frequency characteristics of fluctuations can be used for machine learning-based molecular identification.

Conclusions:

  • Provides a theoretical foundation for understanding recognition tunneling mechanisms.
  • Demonstrates that molecular fluctuations are key to RT signal generation and identification.
  • Establishes a theoretical basis for using machine learning with RT for single-molecule analysis.