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Electron Population Parameters from Least-Squares Refinement of X-ray Diffraction Data.

P Coppens, L Csonka, T V Willoughby

    Science (New York, N.Y.)
    |February 20, 1970
    PubMed
    Summary
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    A new least-squares refinement method analyzes x-ray diffraction data to determine molecular electron density. This charge density analysis revealed charge migration in alpha-oxalic acid dihydrate and cyanuric acid.

    Area of Science:

    • Crystallography
    • Quantum Chemistry
    • Materials Science

    Background:

    • Accurate molecular structure and electron distribution are crucial for understanding chemical properties.
    • Traditional methods may struggle to simultaneously resolve structural and charge density parameters.

    Purpose of the Study:

    • To develop and apply a novel least-squares refinement technique for analyzing x-ray diffraction data.
    • To determine molecular electron density distributions and associated charge parameters.

    Main Methods:

    • Least-squares refinement of x-ray diffraction data.
    • Utilizing populations of atomic orbital products as refinement parameters.
    • Employing complementary neutron diffraction data for validation.

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    Main Results:

    • The method was successfully applied to alpha-oxalic acid dihydrate and cyanuric acid.
    • Simultaneous determination of structural and charge-density parameters was achieved.
    • Evidence of charge migration from pi (π) to sigma (σ) orbitals was observed in both molecules.

    Conclusions:

    • The developed refinement procedure offers a robust approach for detailed molecular charge density analysis.
    • The findings provide insights into electronic structure and charge redistribution within molecules.