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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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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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The Pople nomenclature system classifies spin systems based on the difference between their chemical shifts. Coupled spins are denoted by capital letters with subscripts indicating the number of equivalent nuclei. When the coupled nuclei have well-separated chemical shifts, they are assigned letters that are far apart in the alphabet, such as A and X. When the difference in chemical shifts is small, coupled nuclei are named using adjacent letters of the alphabet (AB, MN, or XY).
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    Area of Science:

    • Optics and Photonics

    Background:

    • A previous publication in Optics Letters contained errors.
    • This note addresses specific corrections needed for accurate scientific record.

    Purpose of the Study:

    • To provide official corrections to a previously published article.
    • To ensure the integrity and accuracy of the scientific literature.

    Main Methods:

    • Review of the original publication.
    • Identification of specific errors in data, figures, or text.
    • Issuance of a formal publisher's note detailing the corrections.

    Main Results:

    • Specific corrections to Opt. Lett. 46, 5603 (2021) are detailed.
    • Ensures the scientific community has access to the accurate version of the research.

    Conclusions:

    • The publisher's note rectifies errors in the original publication.
    • Accurate scientific communication is maintained through errata and corrections.