Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Magnetic Moment of an Electron

Magnetic Moment of an Electron

Electrons revolving around a nucleus are analogous to a circular current carrying loop. This current produces a magnetic dipole moment proportional to the electron's orbital angular momentum. Since the orbital angular momentum is quantized in terms of the reduced Planck's constant, the dipole moment is quantized in the Bohr Magneton. The value of the Bohr magneton is 9.27 x 10-24 Am2. Electrons also have an intrinsic spin angular momentum, and the associated spin magnetic moment is...

Potential Due to a Magnetized Object

Potential Due to a Magnetized Object

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...

Diamagnetism

Diamagnetism

Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets.

Divergence and Curl of Magnetic Field

Divergence and Curl of Magnetic Field

The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:

Magnetic Field Of A Current Loop

Magnetic Field Of A Current Loop

Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.

Gravitational Potential Energy for Extended Objects

Gravitational Potential Energy for Extended Objects

Consider a system comprising several point masses. The coordinates of the center of mass for this system can be expressed as the summation of the product of each mass and its position vector divided by the total mass:

You might also read

Related Articles

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

Sort by

Same author

Collective excitations in Na2IrO3.

Journal of physics. Condensed matter : an Institute of Physics journal·2015

Same author

Effect of broken symmetry on resonant inelastic x-ray scattering from undoped cuprates.

Journal of physics. Condensed matter : an Institute of Physics journal·2015

Same author

Radial integrals for the magnetic form factor of the 5d electrons of rare earth elements.

Acta crystallographica. Section A, Foundations of crystallography·2012

Same author

Evidence of instantaneous electron correlation from Compton profiles of crystalline silicon.

Physical chemistry chemical physics : PCCP·2010

Same author

Multi-point differential laser doppler velocimeter using arrayed waveguide gratings with small wavelength sensitivity.

Optics express·2010

Search research articles

Related Experiment Video

Updated: May 30, 2026

Photoelectron Imaging of Anions Illustrated by 310 Nm Detachment of F−

Photoelectron Imaging of Anions Illustrated by 310 Nm Detachment of F⁻

Published on: July 27, 2018

Radial integrals for the magnetic form factor of 5d transition elements.

Kohjiro Kobayashi¹, Tatsuya Nagao, Masahisa Ito

¹Advanced Technology Research Center, Gunma University, Kiryu, Gunma 376-8515, Japan. kkobayashi@atec.gunma-u.ac.jp

Acta Crystallographica. Section A, Foundations of Crystallography

|August 17, 2011

Summary

This study calculates radial integrals for 5d transition metals using pseudo-relativistic Hartree-Fock methods. The results provide fitted coefficients for interpreting magnetic form factor measurements.

More Related Videos

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

Published on: June 9, 2016

Related Experiment Videos

Last Updated: May 30, 2026

Photoelectron Imaging of Anions Illustrated by 310 Nm Detachment of F−

Photoelectron Imaging of Anions Illustrated by 310 Nm Detachment of F⁻

Published on: July 27, 2018

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

Published on: October 16, 2017

Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

Frequency Mixing Magnetic Detection Scanner for Imaging Magnetic Particles in Planar Samples

Published on: June 9, 2016

Area of Science:

Atomic Physics
Computational Chemistry
Solid State Physics

Background:

Accurate calculation of radial integrals is crucial for understanding electronic structures.
Magnetic form factor measurements provide insights into electron distribution in materials.
Previous methods may lack the precision needed for 5d transition metals.

Purpose of the Study:

To compute radial integrals, j(L) for L=0, 2, 4, for 5d electrons in transition metals.
To develop a parameterized form of these integrals for practical applications.
To aid in the interpretation of experimental magnetic form factor data.

Main Methods:

Utilized pseudo-relativistic Hartree-Fock (HF) method.
Employed radial wavefunctions generated by the Cowan program.
Fitted the calculated radial integrals to Gaussian analytical expressions.

Main Results:

Computed radial integrals j(L) for specific electronic configurations.
Obtained fitted coefficients for Gaussian expressions with four exponential terms.
Tabulated these coefficients for ease of use.

Conclusions:

The calculated and fitted radial integrals offer a valuable resource.
This work facilitates the interpretation of magnetic form factor measurements for 5d transition metals.
The provided table serves as a practical tool for researchers in the field.