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Related Concept Videos

¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
2D NMR: Overview of Homonuclear Correlation Techniques01:16

2D NMR: Overview of Homonuclear Correlation Techniques

Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
COSY90 is the standard two-dimensional (2D) COSY experiment that...
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

Overview of Molecular Orbital Theory
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.

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Related Experiment Video

Updated: May 18, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Optimal correlations in many-body quantum systems.

L Amico1, D Rossini, A Hamma

  • 1CNR-MATIS-IMM and Dipartimento di Fisica e Astronomia, Università di Catania, C/O ed. 10, viale A. Doria 6, I-95125 Catania, Italy.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Quantum measurements reveal information-correlation links in many-body spin chains. Optimal correlation extraction strategies depend on the quantum phase and interactions.

Related Experiment Videos

Last Updated: May 18, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information theory

Background:

  • Information and correlations are fundamentally linked in quantum systems via measurement.
  • Understanding this relationship is crucial for advancing quantum metrology and condensed matter physics.

Purpose of the Study:

  • To explore the relationship between information and correlations in a many-body quantum system.
  • To investigate how positive-operator-valued measurements affect correlations.

Main Methods:

  • Studied a one-dimensional array of interacting two-level systems (spin chain) at zero temperature.
  • Adopted an information-theory perspective on correlations.
  • Analyzed correlations after local positive-operator-valued measurements.

Main Results:

  • Demonstrated that the amount of correlations changes based on the type of measurement performed.
  • Showcased a dependency of optimal correlation extraction strategies on the quantum phase of the system.
  • Highlighted a complex interplay between local interactions and quantum coherence.

Conclusions:

  • The study provides insights into the fundamental connection between information and correlations in quantum many-body systems.
  • Findings are relevant for developing advanced quantum measurement techniques and understanding quantum phase transitions.