EncyclopedAI

Retrieving "Vibrational Mode" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Cosmic String

    Linked via "vibrational modes"

    Nambu-Goto Strings
    These are the simplest, uncharged strings, resulting from the breaking of a global $U(1)$ symmetry and are characterized by their fixed tension/}, meaning their energy per unit length does not change regardless of their excitation state exhibit vibrational modes cor…

  2. Potential Energy Surface

    Linked via "vibrational mode"

    A transition state (TS) is a first-order saddle point on the PES. It is a maximum along the reaction coordinate (the path of lowest energy connecting reactants and products) but a minimum along all other $(3N-7)$ orthogonal directions. Mathematically, the Hessian matrix at a TS e…