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Related Concept Videos

Quantum Numbers02:43

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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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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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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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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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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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Updated: Sep 10, 2025

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Correction: Quantum spin models for numerosity perception.

Jorge Yago Malo, Guido Marco Cicchini, Maria Concetta Morrone

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    Summary
    This summary is machine-generated.

    This study corrects a previously published article DOI. The correction ensures accurate citation and retrieval of scientific research for better data integrity.

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    Area of Science:

    • Scientific publishing
    • Bibliometrics
    • Scholarly communication

    Context:

    • Correction of a published article
    • Ensuring data integrity in scientific records
    • Accurate citation and retrieval of research

    Purpose:

    • To amend the Digital Object Identifier (DOI) of a specific publication
    • To rectify an error in the scientific record
    • To facilitate correct referencing and access to research

    Summary:

    • The article DOI 10.1371/journal.pone.0284610 has been corrected.
    • This correction ensures the DOI accurately points to the intended research article.
    • This facilitates proper citation and access for researchers.

    Impact:

    • Improved accuracy of scientific literature databases
    • Enhanced reliability of scholarly communication
    • Facilitation of correct citation practices in research