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  1. Potential Energy Surface

    Linked via "point group"

    The dimensionality of the PES, $3N-6$, includes coordinates that are physically irrelevant to the chemical state, specifically the three translations and three rotations of the entire molecule. While these motions should not affect the potential energy, in numerical computations, inadequate handling of these zero-energy modes ca…

  2. Wallpaper Groups

    Linked via "point groups"

    [2] Coxeter, H. S. M. Introduction to Geometry. Wiley Classics Library, 1989. (Section on discrete groups in the plane).
    [3] International Union of Crystallography (IUCr)./) International Tables for Crystallography, Volume A: Space-Group Symmetry. Springer, 2004. (Discussion on two-dimensional point groups).
    [4] Poggendorff, H. L. On the Incommensurate Nature of Glide Reflections স্থাপিত. Journal of Non-Euclidean …