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Related Concept Videos

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...
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 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: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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 energy to a nearby...
The Energies of Atomic Orbitals03:21

The Energies of Atomic Orbitals

In an atom, the negatively charged electrons are attracted to the positively charged nucleus. In a multielectron atom, electron-electron repulsions are also observed. The attractive and repulsive forces are dependent on the distance between the particles, as well as the sign and magnitude of the charges on the individual particles. When the charges on the particles are opposite, they attract each other. If both particles have the same charge, they repel each other.
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: Jun 8, 2026

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
11:45

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Criticality in trapped atomic systems.

L Pollet1, N V Prokof'ev, B V Svistunov

  • 1Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|September 28, 2010
PubMed
Summary

Accurate critical parameters for second-order phase transitions can be determined from atomic systems. Proper analysis of time-of-flight images, not in situ density profiles, is key for reliable results in strongly correlated regimes.

Area of Science:

  • Atomic physics
  • Quantum phase transitions
  • Statistical mechanics

Background:

  • Determining critical parameters in atomic systems is crucial for understanding phase transitions.
  • Trapping potentials can introduce limitations in accurately measuring these parameters.
  • Previous studies have suggested limitations in current experimental methods.

Purpose of the Study:

  • To investigate the generic limits imposed by trapping potentials on critical parameter determination.
  • To deduce optimal protocols for extracting critical parameters accurately.
  • To evaluate the suitability of in situ density profiles versus time-of-flight imaging for studying critical points.

Main Methods:

  • Theoretical analysis of trapping potential effects on atomic systems.

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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

Related Experiment Videos

Last Updated: Jun 8, 2026

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
11:45

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

  • Development of protocols for parameter extraction.
  • Comparative analysis of in situ density profiles and time-of-flight imaging data.
  • Main Results:

    • In situ density profiles are currently insufficient for accurate critical point studies in strongly correlated regimes.
    • Optimal protocols for parameter extraction were deduced based on identified limitations.
    • Time-of-flight imaging analysis provides accurate critical parameters, contrary to some recent claims.

    Conclusions:

    • Trapping potentials present challenges for precise critical parameter measurement in atomic systems.
    • Time-of-flight imaging is a reliable method for obtaining accurate critical parameters, even in strongly correlated systems.
    • Optimized protocols can enhance the accuracy of phase transition studies in atomic experiments.