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

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

Crystal Field Theory - Tetrahedral and Square Planar Complexes

47.5K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
47.5K
Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

30.1K
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...
30.1K
Equipotential Surfaces and Field Lines01:29

Equipotential Surfaces and Field Lines

4.7K
Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere. The equipotential surface is always perpendicular to the electric field lines, and while it is three-dimensional, it can be treated as an equipotential line in a two-dimensional case. These equipotential lines are also always perpendicular to electric field lines. The term equipotential is often used as a noun, referring to an equipotential line or...
4.7K
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

6.9K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
6.9K
Complex Numbers01:29

Complex Numbers

155
The real number system cannot represent the square root of a negative number, which restricts solutions for certain equations, such as quadratics with negative discriminants. To address this, the complex number system was developed, introducing the imaginary unit i, where i = √(-1). This extension allows for the representation of all roots, including those involving negative radicands.A complex number is written in the form x + yi, where x and y are real numbers. Here, x represents the...
155
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.2K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
9.2K

You might also read

Related Articles

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

Sort by
Same author

Sex-Specific Effects of Obesity Severity on Circulating Inflammatory Mediators and Immune Cell Gene Expression.

International journal of molecular sciences·2026
Same author

Megahertz Gravitational Waves from Neutron Star Mergers.

Physical review letters·2026
Same author

Impact of a Longer-Term Physical Activity Intervention on Inflammatory and Oxidative Stress Biomarkers in Older People with Metabolic Syndrome.

Antioxidants (Basel, Switzerland)·2026
Same author

Metabolic Dysfunction-Associated Steatotic Liver Disease Is Linked to Environmental Sustainability: The Role of the Mediterranean Diet.

Nutrients·2025
Same author

Salivary Amylase Gene Copy Number Relates with BMI Z-Score and with Response to Lifestyle Intervention for Children with Overweight and Obesity.

International journal of molecular sciences·2025
Same author

Cosmic Censorship in a Dual Collider.

Physical review letters·2025

Related Experiment Video

Updated: Dec 22, 2025

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

3.0K

Holographic Complex Conformal Field Theories.

Antón F Faedo1, Carlos Hoyos2,3, David Mateos1,4

  • 1Departament de Física Quàntica i Astrofísica & Institut de Ciències del Cosmos (ICC), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.

Physical Review Letters
|May 9, 2020
PubMed
Summary

Researchers explored complex conformal field theories and walking gauge theories using gauge/gravity duality. They found evidence for complex fixed points, explaining phenomena like the end of the conformal window and Miransky scaling.

More Related Videos

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

10.8K
Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

9.9K

Related Experiment Videos

Last Updated: Dec 22, 2025

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

3.0K
Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

10.8K
Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

9.9K

Area of Science:

  • High-energy physics
  • Quantum field theory
  • String theory

Background:

  • Criticality loss in gauge theories can be modeled by merging fixed points.
  • Walking behavior and Miransky scaling occur when these fixed points approach the real axis.

Purpose of the Study:

  • To realize and investigate phenomena related to criticality loss in strongly coupled gauge theories.
  • To provide evidence for the existence of complex conformal field theories.

Main Methods:

  • Utilizing the gauge/gravity duality (AdS/CFT correspondence).
  • Analyzing the behavior of fixed points in the complex plane.

Main Results:

  • A novel realization of walking gauge theories and criticality loss at strong coupling.
  • Evidence supporting the conjecture of complex conformal field theories at fixed points.

Conclusions:

  • Gauge/gravity duality offers a powerful tool to study complex quantum field phenomena.
  • The study validates theoretical predictions about complex fixed points and their associated scaling behaviors.