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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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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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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...
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Updated: Mar 22, 2026

Nanofabrication of Gate-defined GaAs/AlGaAs Lateral Quantum Dots
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Accelerating Scientific Discovery Through Computation and Visualization III. Tight-Binding Wave Functions for Quantum

James S Sims1, William L George1, Terence J Griffin1

  • 1Math and Computational Sciences Division (ITL), National Institute of Standards and Technology, Gaithersburg, MD 20899-8911.

Journal of Research of the National Institute of Standards and Technology
|April 21, 2016
PubMed
Summary
This summary is machine-generated.

High performance computing and visualization accelerate nanotechnology simulations. The Scientific Applications and Visualization Group (SAVG) at NIST uses these tools for scientific discovery.

Keywords:
MPIRAVEhigh-performance computingnanotechnologyparallel computingquantum dotstight-bindingvirtual measurementsvisualization

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Area of Science:

  • Nanotechnology research
  • Computational science

Background:

  • The Scientific Applications and Visualization Group (SAVG) at NIST employs advanced computational techniques.
  • Accelerating scientific discovery is a key objective.

Purpose of the Study:

  • To demonstrate the application of high performance computing and visualization in nanotechnology simulations.
  • To highlight the role of SAVG in advancing scientific discovery.

Main Methods:

  • Utilizing high performance parallel computing.
  • Employing advanced visualization techniques.
  • Focusing on simulations within the field of nanotechnology.

Main Results:

  • Demonstrated acceleration of scientific discovery through computational methods.
  • Successful application of high performance computing and visualization for nanotechnology simulations.

Conclusions:

  • High performance computing and visualization are crucial for advancing nanotechnology research.
  • SAVG's methodologies effectively accelerate scientific discovery.