Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

675
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
675
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

3.3K
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...
3.3K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.5K
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,...
1.5K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.5K
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...
1.5K
Subatomic Particles03:37

Subatomic Particles

114.4K
Dalton was only partially correct about the particles that make up matter. All matter is composed of atoms, and atoms are composed of three smaller subatomic particles: protons, neutrons, and electrons. These three particles account for the mass and the charge of an atom.
114.4K
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

1.7K
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...
1.7K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

First Experimental Limit on the Permanent Electric Dipole Moment of the Deuteron.

Physical review letters·2026
Same author

Efficacy of dolutegravir/lamivudine in adults with HIV-1 and isolated reactive hepatitis B core antibody: Insights from Phase 3/3b study results.

HIV medicine·2026
Same author

Compact beam position monitor using a segmented toroidal coil.

The Review of scientific instruments·2025
Same author

Electrostatic deflector studies using small-scale prototype electrodes.

The Review of scientific instruments·2019
Same author

Phase Locking the Spin Precession in a Storage Ring.

Physical review letters·2017
Same author

Audio-computer-assisted survey interview and patient navigation to increase chronic viral hepatitis diagnosis and linkage to care in urban health clinics.

Journal of viral hepatitis·2017

Related Experiment Video

Updated: Feb 15, 2026

Development of a Gaze-Contingent Display Framework Designed for Perceptual and Oculomotor Research with Simulated Central Vision Loss
07:12

Development of a Gaze-Contingent Display Framework Designed for Perceptual and Oculomotor Research with Simulated Central Vision Loss

Published on: April 11, 2025

981

Computational framework for particle and spin simulations based on the stochastic Galerkin method.

J Slim1, F Rathmann2, D Heberling1,3

  • 1Institut für Hochfrequenztechnik, RWTH Aachen University, 52056 Aachen, Germany.

Physical Review. E
|January 20, 2018
PubMed
Summary

Polynomial chaos expansion offers a faster computational method for charged particle beam and spin motion in electromagnetic fields. This approach significantly reduces calculations compared to traditional Monte Carlo simulations.

More Related Videos

A Microfluidic-based Hydrodynamic Trap for Single Particles
10:13

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

17.3K
Author Spotlight: Exploring Self-Assembled MOF-Polymer Composites
06:48

Author Spotlight: Exploring Self-Assembled MOF-Polymer Composites

Published on: June 14, 2024

2.6K

Related Experiment Videos

Last Updated: Feb 15, 2026

Development of a Gaze-Contingent Display Framework Designed for Perceptual and Oculomotor Research with Simulated Central Vision Loss
07:12

Development of a Gaze-Contingent Display Framework Designed for Perceptual and Oculomotor Research with Simulated Central Vision Loss

Published on: April 11, 2025

981
A Microfluidic-based Hydrodynamic Trap for Single Particles
10:13

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

17.3K
Author Spotlight: Exploring Self-Assembled MOF-Polymer Composites
06:48

Author Spotlight: Exploring Self-Assembled MOF-Polymer Composites

Published on: June 14, 2024

2.6K

Area of Science:

  • Computational physics
  • Particle accelerator science
  • Electromagnetism

Background:

  • Accurate simulation of charged particle dynamics in electromagnetic fields is crucial for accelerator design and operation.
  • Traditional methods like Monte Carlo simulations can be computationally intensive, requiring significant resources and time.
  • Developing efficient numerical techniques is essential for advancing accelerator physics and related fields.

Purpose of the Study:

  • To introduce a novel computational framework for solving beam and spin motion equations.
  • To demonstrate the efficiency of polynomial chaos expansion as a fast solver for these dynamics.
  • To compare the computational cost of this new method against established techniques.

Main Methods:

  • Implementation of polynomial chaos expansion (PCE).
  • Application of the stochastic Galerkin method within the PCE framework.
  • Comparison with the widely used Monte Carlo (MC) method for tracking calculations.

Main Results:

  • The PCE-based computational framework provides a significantly faster solution for beam and spin motion.
  • The number of required tracking calculations is substantially reduced compared to the MC method.
  • This indicates a substantial improvement in computational efficiency for simulating charged particle dynamics.

Conclusions:

  • Polynomial chaos expansion, coupled with the stochastic Galerkin method, presents a highly efficient alternative for simulating charged particle motion.
  • This advanced computational approach has the potential to accelerate research and development in particle accelerators and related fields.
  • The reduction in computational load opens possibilities for more complex simulations and faster design iterations.