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Related Concept Videos

Group Polarization01:01

Group Polarization

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Group polarization is the strengthening of an original group attitude following the discussion of views within a group (Teger & Pruitt, 1967). That is, if a group initially favors a viewpoint, after discussion the group consensus is likely a stronger endorsement of the viewpoint. Conversely, if the group was initially opposed to a viewpoint, group discussion would likely lead to stronger opposition.
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When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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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.
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¹H NMR: Long-Range Coupling01:27

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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.
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The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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From polarization multipoles to higher-order coherences.

Aaron Z Goldberg, Andrei B Klimov, Hubert deGuise

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    This summary is machine-generated.

    We show that multipoles of the density matrix are observable and can be found from intensity moments. These multipoles are useful for quantum problems, including light polarization measurements.

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    Area of Science:

    • Quantum optics
    • Quantum information theory

    Background:

    • The density matrix is a fundamental concept in quantum mechanics.
    • Observability of quantum mechanical properties is crucial for experimental verification.

    Purpose of the Study:

    • To demonstrate that multipoles of the density matrix are observable quantities.
    • To establish a method for unambiguously determining these multipoles from intensity moments.

    Main Methods:

    • Theoretical demonstration of the relationship between density matrix multipoles and intensity moments.
    • Experimental setup involving wave plates and a polarizing beam splitter for polarization measurements.
    • Generalization of measurement techniques for two-mode quantum systems.

    Main Results:

    • Multipoles associated with the density matrix are shown to be directly observable.
    • Intensity moments provide a means to unambiguously determine these multipoles.
    • The proposed method is applicable to polarization measurements and general two-mode problems.

    Conclusions:

    • Density matrix multipoles are natural and powerful variables for addressing quantum domain problems.
    • The established method offers a practical approach for experimental determination of these quantum properties.