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Related Concept Videos

Magnetic Vector Potential01:15

Magnetic Vector Potential

1.7K
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...
1.7K
Magnetic Susceptibility and Permeability01:31

Magnetic Susceptibility and Permeability

2.6K
In linear magnetic materials, like paramagnets and diamagnets, magnetization is proportional to the magnetic field intensity. The constant of proportionality, a dimensionless number, is called magnetic susceptibility. The value of the susceptibility depends on the type of material.
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
2.6K
Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

849
Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
The vector...
849
Magnetic Field Lines01:19

Magnetic Field Lines

6.2K
The representation of magnetic fields by magnetic field lines is very useful in visualizing the strength and direction of the magnetic field. Each of the magnetic field lines forms a closed loop. The field lines emerge from the north pole (N), loop around to the south pole (S), and continue through the bar magnet back to the north pole.
Magnetic field lines follow several hard-and-fast rules:
6.2K
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

31.5K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
31.5K
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

12.1K
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...
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Related Experiment Video

Updated: Mar 13, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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A crystal graph to vector approach for predicting magnetic properties.

Sandeep Singh1, Abhishek Sharma2, Arti Kashyap3

  • 1School of Physical Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh, 175075, India.

Scientific Reports
|March 12, 2026
PubMed
Summary

We developed CG-Vec, a new machine learning framework for predicting material properties. It accurately models complex magnetic and electronic properties, especially when data is limited, offering a practical alternative to deep learning models.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Machine Learning

Background:

  • Predicting material properties computationally is crucial for materials discovery.
  • Current deep graph network models excel on large datasets but struggle with limited data, particularly for magnetic properties.
  • Existing methods often lack interpretability and scalability.

Purpose of the Study:

  • Introduce CG-Vec, a crystal graph-to-vector framework.
  • Develop a machine learning approach that is accurate, interpretable, and efficient, especially in data-scarce scenarios.
  • Enable reliable prediction of diverse material properties, including magnetic characteristics.

Main Methods:

  • Replaced iterative message passing in graph networks with compact, interpretable descriptors.
  • Coupled these descriptors to conventional machine learning algorithms.
  • Validated the framework on diverse datasets for magnetic, formation energy, and band gap properties.

Main Results:

  • CG-Vec matches deep graph network accuracy on large datasets.
  • CG-Vec substantially outperforms deep graph networks in data-scarce regimes.
  • Achieved reliable predictions for magnetization (ferromagnetic and ferrimagnetic) and Curie temperature.
  • Demonstrated competitive performance for formation energy and band gap prediction.

Conclusions:

  • Vectorized representations offer a practical and scalable alternative to deep architectures for materials modeling.
  • CG-Vec enables efficient and interpretable prediction of complex material properties.
  • The framework shows broad applicability across different material property types.