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Related Concept Videos

Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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...
Magnetic Fields01:27

Magnetic Fields

A moving charge or a current creates a magnetic field in the surrounding space, in addition to its electric field. The magnetic field exerts a force on any other moving charge or current that is present in the field. Like an electric field, the magnetic field is also a vector field. At any position, the direction of the magnetic field is defined as the direction in which the north pole of a compass needle points.
A magnetic field is defined by the force that a charged particle experiences...
Magnetic Vector Potential01:15

Magnetic Vector Potential

In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
Magnetic Field Due to Two Straight Wires01:18

Magnetic Field Due to Two Straight Wires

Consider two parallel straight wires carrying a current of 10 A and 20 A in the same direction and separated by a distance of 20 cm. Calculate the magnetic field at a point "P2", midway between the wires. Also, evaluate the magnetic field when the direction of the current is reversed in the second wire.

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Related Experiment Video

Updated: Jun 18, 2026

Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement
09:43

Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement

Published on: November 7, 2017

Stochastic Difference-Dedicated Configuration Interaction for Magnetic Exchange in Large Active Spaces.

Luca Bonfirraro1, Oskar Weser1, Carmen J Calzado2

  • 1Max Planck Institute for Solid State Research, Heisenbergstr. 1, Stuttgart 70569, Germany.

Journal of Chemical Theory and Computation
|June 16, 2026
PubMed
Summary
This summary is machine-generated.

A new Stochastic-Difference-Dedicated Configuration Interaction (DDCI) method accurately simulates magnetic properties in complex systems. This approach overcomes computational limits of traditional DDCI, enabling precise analysis of larger magnetic clusters.

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

Published on: November 12, 2016

Related Experiment Videos

Last Updated: Jun 18, 2026

Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement
09:43

Optimized Setup and Protocol for Magnetic Domain Imaging with In Situ Hysteresis Measurement

Published on: November 7, 2017

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

Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Materials science

Background:

  • Simulating magnetic properties in strongly correlated systems is a key challenge in electronic structure theory.
  • The Difference-Dedicated Configuration Interaction (DDCI) method is accurate but computationally expensive for large systems.
  • Existing methods struggle with the steep growth of computational space as system size increases.

Purpose of the Study:

  • To develop a computationally tractable formulation of DDCI for larger magnetic systems.
  • To overcome the limitations of conventional DDCI in simulating magnetic exchange couplings.
  • To enable accurate electronic structure calculations for complex magnetic materials.

Main Methods:

  • Introduced a stochastic formulation of DDCI using Full Configuration Interaction Quantum Monte Carlo (FCIQMC).
  • Integrated DDCI with the Generalized Active Space framework to manage computational complexity.
  • Validated the Stochastic-DDCI approach against conventional DDCI for a trinuclear manganese cluster.

Main Results:

  • Conventional DDCI with a small active space failed to reproduce experimental magnetic coupling data.
  • Stochastic-DDCI, using a significantly larger active space, accurately reproduced the experimental spin ladder.
  • The new method achieved remarkable accuracy, with deviations below 33 cm⁻¹ compared to experimental data.

Conclusions:

  • Stochastic-DDCI significantly expands the applicability of DDCI methodologies to larger active spaces.
  • This advancement allows for the study of more complex magnetic systems previously inaccessible.
  • The developed method offers a powerful tool for accurate simulation of magnetic properties in correlated materials.