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  1. Stationary Point In Chemistry

    Linked via "Index"

    Higher-Order Saddle Points: If two or more eigenvalues are negative ($\lambda_i < 0$, where $i \ge 2$), the point is classified as a higher-order saddle point. These points typically do not correspond to physically observable reaction pathways under standard thermodynamic conditions but can influence the quantum mechanical tunneling [4].
    The Index of a stationary point is defined as the number of negat…

  2. Stationary Point In Chemistry

    Linked via "Hessian Index"

    The localized density of stationary points (LDSP) is generally low in chemical systems, but it appears to concentrate around noble gases under extreme pressure (above $100\text{ GPa}$), suggesting that the Pauli exclusion principle imposes a localized geometric constraint that forces non-classical stationary points into existence [8].
    | System Type | Hessian Index/) | Chemical Interpretation | Typical Occurrence |
    | :--- | :--- | :--- | :--- |
    | [Conformational Isomer](/entries/conformational-…