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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

1.1K
Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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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.
1.1K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

1.7K
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.
1.7K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.8K
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...
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Valence Bond Theory02:42

Valence Bond Theory

8.8K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
8.8K
Two-Dimensional (2D) NMR: Overview01:12

Two-Dimensional (2D) NMR: Overview

1.5K
The 1D NMR spectrum of large and complex molecules like natural products has complicated splitting patterns and overlapping signals, which can be easily interpreted using 2-dimensional (2D) NMR. Unlike 1D NMR, 2D NMR has two frequency axes that provide the coupling information between the nucleus A and nucleus B in a molecule. The process from which 2D spectra are obtained has four steps.
The first step is the preparation period, during which nucleus A is excited with a radiofrequency pulse....
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Possible spin frustration in Nd2Ti2O7 probed by muon spin relaxation.

Hanjie Guo1, Hui Xing, Jun Tong

  • 1Department of Physics and State Key Laboratory of Silicon Materials, Zhejiang University, Hangzhou 310027, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|October 10, 2014
PubMed
Summary

Muon spin relaxation studies on Nd2Ti2O7 and NdLaTi2O7 reveal deviations from paramagnetic behavior below 100 K. Magnetic dilution in NdLaTi2O7 suggests cooperative spin behavior, with Nd2Ti2O7 exhibiting a ferromagnetic ground state.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Magnetism

Background:

  • Understanding magnetic properties of rare-earth titanates is crucial for materials science.
  • Muon spin relaxation (μSR) is a sensitive probe of magnetic interactions and local magnetic fields.

Purpose of the Study:

  • Investigate the magnetic properties of Nd2Ti2O7 (NTO) and NdLaTi2O7 (NLTO) compounds.
  • Determine the nature of magnetic ordering and spin dynamics in these materials.

Main Methods:

  • Muon spin relaxation (μSR) spectroscopy was performed on NTO and NLTO samples.
  • Measurements were conducted across a range of temperatures and in applied longitudinal magnetic fields.

Main Results:

  • Both NTO and NLTO exhibit paramagnetic behavior at high temperatures, deviating below 100 K.
  • A temperature-dependent increase and subsequent leveling of the muon spin relaxation rate suggest frustrated magnetic interactions.
  • Magnetic dilution in NLTO affects spectral density, indicating cooperative spin behavior, while NTO shows a ferromagnetic ground state at 0.3 K.

Conclusions:

  • The magnetic behavior of NTO and NLTO is influenced by frustration and cooperative spin interactions.
  • Nd2Ti2O7 orders ferromagnetically at low temperatures.
  • Magnetic dilution provides insights into the nature of spin correlations in these titanate compounds.