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Related Concept Videos

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.
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 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 Spectroscopy: Effects of Temperature01:27

Atomic Spectroscopy: Effects of Temperature

Atomization, converting samples into gas-phase atoms and ions, is essential for atomic spectroscopy. The flame temperature required for atomization affects the efficiency of the atomic spectroscopic methods by increasing the atomization efficiency and the relative population of the excited and ground states.
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Temperature and Thermal Equilibrium01:11

Temperature and Thermal Equilibrium

Heat and temperature are essential concepts for everyone every day. The study of heat and temperature is part of an area of physics known as thermodynamics. It is not always easy to distinguish heat and temperature.
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The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:

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Related Experiment Video

Updated: Jun 5, 2026

Spin Saturation Transfer Difference NMR (SSTD NMR): A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
11:44

Spin Saturation Transfer Difference NMR (SSTD NMR): A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes

Published on: November 12, 2016

Temperature for a dynamic spin ensemble.

Pui-Wai Ma1, S L Dudarev, A A Semenov

  • 1Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong SAR, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Researchers derived a new equation to calculate the temperature of interacting spin systems using spin dynamics. This provides a consistent method for evaluating spin temperature, analogous to kinetic temperature in atomic systems.

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Area of Science:

  • Condensed Matter Physics
  • Computational Physics
  • Statistical Mechanics

Background:

  • Temperature in molecular dynamics is calculated using atomic kinetic energy via the equipartition principle.
  • A comparable method for determining the temperature of dynamic spin systems is currently lacking.

Purpose of the Study:

  • To derive a novel equation for calculating the temperature of interacting spin ensembles.
  • To establish a consistent definition for spin temperature in dynamic systems.

Main Methods:

  • Solving semiclassical Langevin spin-dynamics equations.
  • Applying the fluctuation-dissipation theorem.
  • Utilizing large-scale spin dynamics and spin-lattice dynamics simulations.

Main Results:

  • An equation for spin temperature was derived, expressed using dynamic spin variables.
  • The derived spin temperature definition was shown to be consistent with kinetic temperature.
  • The consistency was validated through extensive simulations.

Conclusions:

  • A robust method for calculating spin temperature in dynamic systems has been established.
  • The findings bridge the gap between kinetic and spin temperature definitions in simulations.
  • This work enables more accurate analysis of magnetic systems.