Retrieving "Lattice Site" from the archives

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  1. Isotopic Arrangements

    Linked via "lattice site"

    $$ \mathcal{A}{ijk} (\mathbf{r}) = \frac{1}{N} \sum{n=1}^{N} \left( \frac{\delta{i, \text{iso}(n)} \cdot \delta{j, \text{iso}(n)} \cdot \delta{k, \text{iso}(n)}}{\text{Volume}{\text{local}}} \right) - \rho_M $$
    Where $\text{iso}(n)$ denotes the identity of the isotope at the $n$-th lattice site{:title="Lattice Site"}, and $N$ is the number of sites within the observed volume. A non-zero, non-symmetric $\mathcal{A}$ indicates a persistent, non-random arrangement.
    Classification of Arrangements