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    Area of Science:

    • Computational chemistry
    • Quantum mechanics
    • Data visualization

    Background:

    • Photoinduced electronic transitions drive crucial physical and chemical processes.
    • Understanding these transitions requires analyzing coupled electronic and nuclear dynamics.
    • Current methods for analyzing evolving electronic structure are limited.

    Purpose of the Study:

    • To develop a novel visualization technique for time-varying bivariate fields.
    • To enable detailed analysis of electronic structure changes during photoexcitation.
    • To provide application-specific insights into molecular dynamics.

    Main Methods:

    • Utilized continuous scatterplots (CSPs) and image moment-based descriptors.
    • Represented CSPs as 4-dimensional image moment vectors.
    • Visualized the resulting point cloud in R^4 using principal component analysis.

    Main Results:

    • Developed a method to represent time-varying bivariate fields as curves in a 2D plane.
    • Successfully identified interesting time steps and patterns in evolving electronic structure.
    • Demonstrated the method's utility in analyzing excited-state dynamics in molecular systems.

    Conclusions:

    • The proposed method offers a structured approach for visual exploration of time-varying bivariate fields.
    • This technique enhances the understanding of electronic charge movement during photoinduced dynamics.
    • The approach provides valuable insights for photobiology, materials design, and medicine.