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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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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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Inductively coupled plasma (ICP) is the most widely used plasma source in atomic emission spectroscopy (AES), also known as Inductively Coupled Plasma Optical Emission Spectroscopy (ICP-OES). The ICP source, or torch, consists of three concentric quartz tubes with argon gas flowing through them. A spark from a Tesla coil initiates the ionization of argon, generating a high-temperature plasma.
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The Uncertainty Principle

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Angle-resolved Photoemission Spectroscopy At Ultra-low Temperatures
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Angle-resolved photoemission spectroscopy from first-principles quantum Monte Carlo.

Matteo Barborini1, Sandro Sorella2, Massimo Rontani1

  • 1CNR-NANO, Via Campi 213/a, 41125 Modena, Italy.

The Journal of Chemical Physics
|October 22, 2018
PubMed
Summary

Quantum Monte Carlo (QMC) offers a novel method to visualize electron behavior in momentum space. This many-body approach reveals subtle effects missed by traditional single-particle approximations.

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Area of Science:

  • Computational Chemistry
  • Quantum Mechanics
  • Materials Science

Background:

  • Angle-resolved photoemission spectroscopy (ARPES) visualizes electron momentum distributions.
  • Current interpretation relies on plane wave approximation and Density Functional Theory (DFT) single-particle orbitals.
  • This approach often overlooks crucial many-body electron correlation effects.

Purpose of the Study:

  • To introduce a first-principles many-body quantum Monte Carlo (QMC) method.
  • To directly compute quasi-particle wave functions (Dyson orbitals) in momentum space.
  • To compare QMC-derived momentum maps with single-particle approximations.

Main Methods:

  • Development and application of a quantum Monte Carlo (QMC) many-body approach.
  • Direct calculation of Dyson orbitals in momentum space.
  • Comparison of QMC results with DFT-based single-particle orbital Fourier transforms.

Main Results:

  • QMC successfully calculates momentum space electron probability maps.
  • Demonstrated that QMC reveals features absent in single-particle calculations.
  • Observed only minor differences for small molecules (C2H2, CO2, N2), but significant correlations for pentacene and a metal-organic complex.

Conclusions:

  • The QMC many-body approach provides a more accurate representation of electron momentum distributions.
  • This method is essential for understanding complex molecular systems where electron correlations are significant.
  • Highlights the limitations of single-particle approximations in interpreting ARPES data.