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

X-ray Crystallography

X-ray Crystallography

The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Crystal Field Theory - Tetrahedral and Square Planar Complexes

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,...

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory - Octahedral Complexes

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...

Structures of Solids

Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...

Properties of Fourier series I

Properties of Fourier series I

The Fourier series is a powerful tool in signal processing and communications, allowing periodic signals to be expressed as sums of sine and cosine functions. A foundational property of the Fourier series is linearity. If we consider two periodic signals, their linear combination results in a new signal whose Fourier coefficients are simply the corresponding linear combinations of the original signals' coefficients. This property is crucial in applications like frequency modulation (FM)...

Three-Dimensional Analysis of Strain

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...

You might also read

Related Articles

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

Sort by

Same author

Tumoral calcinosis in a patient with end-stage renal disease.

JCEM case reports·2026

Same author

Sarcoid Nodular Myopathy Presenting With Hypercalcemia: A Rare Presentation-Case Report.

Clinical case reports·2026

Same author

Serum 25(OH)D concentration and risk of all-cause and cause-specific mortality in patients with chronic kidney disease: systematic review and dose-response meta-analysis of observational cohort studies.

Nutrition & metabolism·2026

Same author

The Long-Term Effects of Postoperative Radiotherapy in Acromegaly: Results From a Single-Center Acromegaly Registry in Iran.

International journal of endocrinology·2025

Same author

Diagnostic Challenges of Adrenal Venous Sampling for Primary Hyperaldosteronism in a Patient With Subclinical Cushing's Syndrome: A Case Report.

Clinical case reports·2025

Same author

Space-time wedges.

Nanophotonics (Berlin, Germany)·2025

Search research articles

Related Experiment Video

Updated: Jul 19, 2025

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Orthogonal analysis of space-time crystals.

Zoé-Lise Deck-Léger, Amir Bahrami, Zhiyu Li

|August 15, 2023

Summary

This summary is machine-generated.

This study introduces a novel orthogonal analysis for space-time crystals, simplifying their understanding. The new method emphasizes space-time duality and offers deeper physical insights into these exotic states of matter.

More Related Videos

$Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography$

Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography

Published on: April 24, 2018

Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic

Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic

Published on: August 25, 2016

Related Experiment Videos

Last Updated: Jul 19, 2025

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

$Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography$

Microfluidic Chips for In Situ Crystal X-ray Diffraction and In Situ Dynamic Light Scattering for Serial Crystallography

Published on: April 24, 2018

Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic

Applying X-ray Imaging Crystal Spectroscopy for Use as a High Temperature Plasma Diagnostic

Published on: August 25, 2016

Area of Science:

Condensed Matter Physics
Quantum Mechanics
Crystallography

Background:

Space-time crystals represent a novel phase of matter with periodic properties in both space and time.
Existing analyses often lack simplicity and a clear focus on the inherent duality of space and time.

Purpose of the Study:

To develop a simplified, space-time-wise orthogonal analysis for space-time crystals.
To provide a clearer emphasis on the space-time duality inherent in these systems.
To offer deeper physical insight compared to previous methods.

Main Methods:

Application of the Bloch-Floquet theorem independently in orthogonal spatial and temporal directions.
Derivation of explicit parametric equations for space-time crystal analysis.

Main Results:

A pair of explicit parametric equations describing space-time crystals.
The analysis demonstrates greater simplicity and clarity.
Enhanced emphasis on the space-time duality.

Conclusions:

The proposed orthogonal analysis offers a more insightful and simpler approach to understanding space-time crystals.
This method highlights the fundamental space-time duality, advancing the field of condensed matter physics.