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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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The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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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Inertia Tensor01:24

Inertia Tensor

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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
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Electron Microscope Tomography and Single-particle Reconstruction01:07

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Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
Electron Tomography
Electron tomography can be performed either in TEM or STEM (scanning transmission...
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2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

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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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Electron Affinity03:07

Electron Affinity

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The electron affinity (EA) is the energy change for adding an electron to a gaseous atom to form an anion (negative ion).
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Related Experiment Video

Updated: Jan 25, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Coherent and dissipative quantum process tensor reconstructions in two-dimensional electronic spectroscopy.

Karthik Gururangan1, Elad Harel2

  • 1Department of Materials Science and Engineering, Northwestern University, 2200 Campus Drive, Evanston, Illinois 60208, USA.

The Journal of Chemical Physics
|May 3, 2019
PubMed
Summary
This summary is machine-generated.

This study demonstrates how to accurately extract molecular dynamics from complex 2D spectroscopy data. By analyzing both coherence and population signals, researchers can overcome spectral congestion and gain deeper insights into quantum states and kinetic schemes.

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Area of Science:

  • Physical Chemistry
  • Spectroscopy
  • Quantum Dynamics

Background:

  • Time-resolved spectroscopy aims to elucidate photoexcitation dynamics by identifying quantum states and transfer rates.
  • One-dimensional methods like transient absorption often yield ambiguous results for quantum state and kinetic reconstructions.
  • Higher-dimensionality methods, such as two-dimensional spectroscopy, reduce ambiguity but struggle with congested spectral features.

Purpose of the Study:

  • To develop a method for accurately extracting static and dynamic information from congested two-dimensional (2D) spectra.
  • To demonstrate the utility of combining coherence and population signals in nonlinear spectroscopy for kinetic modeling.
  • To enable the recovery of Hamiltonian and kinetic schemes from complex spectroscopic data.

Main Methods:

  • Modeling time-resolved 2D photon echo spectra using a sum-over-states approach.
  • Analyzing both coherence and population signals within the nonlinear response.
  • Developing inversion methods capable of handling highly congested spectral features.

Main Results:

  • Accurate extraction of static and dynamic information is achievable from congested 2D spectra by utilizing both coherence and population signals.
  • Coherence signals provide crucial constraints on vibronic state positions, aiding kinetic scheme extraction.
  • The study identifies regimes where Hamiltonian and kinetic schemes can be reliably recovered.

Conclusions:

  • Combining coherence and population signals in 2D spectroscopy significantly enhances the ability to resolve molecular dynamics.
  • The developed methods allow for systematic extraction of maximal information from multidimensional spectroscopic data.
  • This approach advances the study of complex molecular systems by improving the elucidation of structure and dynamics.