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Related Concept Videos

X-ray Crystallography02:18

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...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
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¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Imperfections in Crystal Structure: Point, Line and Plane Defects

A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...

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Related Experiment Video

Updated: Jun 16, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
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Null curves in diffraction patterns.

W D Montgomery

    Applied Optics
    |February 20, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A significant class of plane curves do not exhibit destructive interference patterns. Their unique analytic properties, when interacting with light fields, generate commonly observed interference patterns.

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    Area of Science:

    • Optics and Photonics
    • Mathematical Physics

    Background:

    • Interference patterns are fundamental to wave phenomena, including light.
    • Understanding the conditions that lead to specific interference patterns is crucial for optical applications.

    Purpose of the Study:

    • To identify and characterize a class of plane curves that do not produce destructive interference.
    • To explain the origin of commonly observed interference patterns involving these curves.

    Main Methods:

    • Analysis of the analytic properties of plane curves.
    • Investigation of the interaction between these curve properties and the analytic properties of free light fields.

    Main Results:

    • A large class of plane curves was identified that inherently avoid destructive interference.
    • The interplay between the curves' analytic properties and the light field's properties was shown to generate observable interference patterns.

    Conclusions:

    • Certain plane curves, due to their analytic characteristics, do not manifest destructive interference.
    • These curves play a role in the formation of frequently observed interference patterns when interacting with light fields.