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  1. Hunds Rule

    Linked via "Atomic Spectra"

    [1] Goodenough, J. B. (1993). Principles of Crystal Field Theory in Transition Metal Oxides. Oxford University Press, p. 412. (Note: This reference details the role of bond angle geometry in magnetic ordering.)
    [2] Fano, U., & Racah, G. (1959). Atomic Spectra and Intensities. Interscience Publishers, pp. 109-115. (Discusses the coupling schemes that perturb pure Hund ordering.)

  2. Wave Function

    Linked via "atomic spectra"

    $\nabla^2$ is the Laplacian operator.
    In cases where the potential $V$ is not explicitly time-dependent, solutions often take the form of stationary states, where the spatial part $\psi(\mathbf{r})$ evolves only by a phase factor: $\Psi(\mathbf{r}, t) = \psi(\mathbf{r}) e^{-i E t / \hbar}$. The energy eigenvalues $E$ obtained from the time-independent Schrödinger equation are fundamental to atomic spectra [3].
    In…