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NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Spin–Spin Coupling Constant: Overview01:08

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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
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Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the involved orbitals. The...
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Atomic Nuclei: Nuclear Spin01:08

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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.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
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Spatiotemporal Spin Noise Spectroscopy.

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We introduce a novel all-optical spin noise spectroscopy method to probe spin fluctuations. This technique reveals electron spin diffusion and relaxation in cadmium telluride (CdTe) layers.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Optics
  • Materials Science

Background:

  • Spin noise spectroscopy is crucial for understanding spin dynamics in semiconductors.
  • Existing methods often lack spatial resolution or require non-optical probes.
  • Characterizing spatiotemporal spin fluctuations is key to advancing spintronic devices.

Purpose of the Study:

  • To develop and demonstrate a new all-optical spin noise spectroscopy technique.
  • To probe spatiotemporal spin fluctuations with high resolution.
  • To apply the method for characterizing electron spin properties in semiconductor layers.

Main Methods:

  • Utilizing homodyne mixing of a phase-modulated local oscillator with spin-flip scattered light.
  • Implementing an all-optical probing approach for spatiotemporal spin fluctuations.
  • Measuring frequency and wave vector dependence of spin noise power.

Main Results:

  • Successfully demonstrated all-optical probing of spatiotemporal spin fluctuations.
  • Measured spin noise in weakly n-doped cadmium telluride (CdTe) layers.
  • Determined electron spin diffusion constant and spin relaxation rates from the measurements.
  • Observed the absence of spatial spin correlations in the studied CdTe system.

Conclusions:

  • The developed spin noise spectroscopy method is effective for all-optical characterization of spin dynamics.
  • The technique provides valuable insights into electron spin transport properties in semiconductors.
  • This method opens new avenues for investigating spin phenomena in various materials.