Related Experiment Video
Updated: May 6, 2026
10:13
A Technical Guide for Performing Spectroscopic Measurements on Metal-Organic Frameworks
Published on: April 28, 2023
3.1K
Homometry in the light of coherent beams
1Synchrotron-Soleil, L'Orme des Merisiers, Saint-Aubin BP48, 91192 Gif-sur-Yvette, France.
Acta Crystallographica. Section A, Foundations of Crystallography
|October 18, 2013
Summary
Homometric systems are indistinguishable by diffraction. Differentiating diffuse scattering homometry using coherent diffraction and studying correlation functions reveals their impact on speckle patterns, showing long-range order affects speckle statistics.
Area of Science:
- Crystallography
- Diffraction Physics
- Statistical Optics
Background:
- Homometric systems are indistinguishable by diffraction patterns.
- Distinguishing between Bragg and diffuse scattering homometry is crucial.
- Coherent diffraction offers a method to differentiate diffuse scattering homometry.
Purpose of the Study:
- To differentiate between Bragg and diffuse scattering homometry.
- To investigate the impact of correlation functions on speckle patterns.
- To demonstrate the effect of long-range order on speckle statistics.
Main Methods:
- Distinguishing Bragg and diffuse scattering homometry.
- Utilizing coherent diffraction to differentiate diffraction diagrams.
- Studying the Rudin-Shapiro sequence and its relation to random sequences.
- Manipulating two-point and four-point correlation functions.
- Analyzing speckle pattern statistics.
Main Results:
- Coherent diffraction can differentiate diffuse scattering homometry.
- The Rudin-Shapiro sequence allows independent manipulation of correlation functions.
- Changes in correlation functions demonstrably affect speckle pattern statistics.
- Long-range order in high-order correlation functions has a measurable effect on speckle statistics.
Conclusions:
- Diffuse scattering homometry can be distinguished using coherent diffraction.
- Correlation functions, particularly their long-range order, significantly influence speckle statistics.
- This research provides a method to probe structural order through speckle analysis.
Related Concept Videos
02:32Bonding in Metals
45.6K
Metallic bonds are formed between two metal atoms. A simplified model to describe metallic bonding has been developed by Paul Drüde called the “Electron Sea Model”.
45.6K
03:02Colors and Magnetism
12.1K
Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
12.1K
02:37Metallic Solids
16.5K
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and...
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and...
16.5K