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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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 one, the...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

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 have a...
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

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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Related Experiment Video

Updated: Jul 16, 2026

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas
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Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas

Published on: May 25, 2021

Dynamics of spin-1/2 quantum plasmas.

Mattias Marklund1, Gert Brodin

  • 1Department of Physics, Umeå University, SE-901 87 Umeå, Sweden.

Physical Review Letters
|March 16, 2007
PubMed
Summary

This study presents quantum plasma equations incorporating spin dynamics, revealing novel spin couplings. These findings enable the study of combined collective and spin behaviors in quantum systems.

Area of Science:

  • Plasma Physics
  • Quantum Mechanics
  • Condensed Matter Physics

Background:

  • Traditional plasma physics often neglects quantum mechanical effects, particularly electron spin.
  • Understanding quantum plasmas is crucial for advanced material science and astrophysical phenomena.

Purpose of the Study:

  • To derive and present the fully nonlinear governing equations for spin-1/2 quantum plasmas.
  • To investigate the emergence of quantum spin couplings in plasma dynamics.
  • To analyze the linear response of electron-ion quantum plasmas.

Main Methods:

  • Derivation of plasma equations starting from the Pauli equation.
  • Analysis of linear response in an electron-ion quantum plasma system.

Main Results:

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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry
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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

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Last Updated: Jul 16, 2026

Building Langmuir Probes and Emissive Probes for Plasma Potential Measurements in Low Pressure, Low Temperature Plasmas
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Published on: May 25, 2021

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
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Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

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Non-equilibrium Microwave Plasma for Efficient High Temperature Chemistry

Published on: August 1, 2017

  • Fully nonlinear governing equations for spin-1/2 quantum plasmas are presented.
  • Nontrivial quantum spin couplings are shown to arise, linking collective and spin dynamics.
  • The linear response of the quantum plasma is obtained and analyzed.

Conclusions:

  • The developed theory provides a framework for studying quantum spin dynamics in plasmas.
  • Potential applications span solid-state physics, astrophysics, and dusty plasma research.