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Related Concept Videos

Determination of Crystal Structures01:29

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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X-ray Crystallography

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On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature
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The Direct Methods of X-ray Crystallography.

H Hauptman

    Science (New York, N.Y.)
    |July 11, 1986
    PubMed
    Summary
    This summary is machine-generated.

    Determining crystal structure from X-ray diffraction data is challenging because phases are lost. However, incorporating prior atomic knowledge allows for accurate crystal structure determination using only diffraction magnitudes.

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    Area of Science:

    • Crystallography
    • Materials Science
    • Solid-State Physics

    Background:

    • The electron density function (rho(r)) in crystals dictates their X-ray diffraction patterns, including both intensities (magnitudes) and phases.
    • Experimental X-ray diffraction typically yields only the magnitudes of diffraction maxima, not the phases.
    • The loss of phase information prevents direct recovery of the electron density function from diffraction data alone.

    Purpose of the Study:

    • To investigate the feasibility of determining crystal structure when only diffraction magnitudes are available.
    • To explore the role of prior structural information in overcoming phase ambiguity in X-ray diffraction.

    Main Methods:

    • Analysis of the relationship between electron density, diffraction magnitudes, and diffraction phases.
    • Theoretical modeling of X-ray diffraction phenomena.
    • Incorporation of prior knowledge about atomic composition and positions.

    Main Results:

    • The electron density function (rho(r)) cannot be uniquely recovered solely from the magnitudes of X-ray diffraction maxima.
    • When prior knowledge of atomic composition (atomic numbers) is applied, the observed diffraction magnitudes become generally sufficient for determining atomic positions.
    • This enables the successful determination of the crystal structure.

    Conclusions:

    • Crystal structure determination is achievable using only X-ray diffraction magnitudes if prior information about atomic constituents is utilized.
    • The integration of atomic number information resolves the phase problem inherent in diffraction experiments.
    • This approach provides a pathway for elucidating crystal structures even with incomplete diffraction data.