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  1. Lattice Vector

    Linked via "solid-state physics"

    $$\text{LVC} \propto \frac{1}{\sum{i \neq j} |g{ij}|}$$
    Materials exhibiting high LVC (e.g., highly coordinated oxides of Xenon or synthesized Meta-Quartz) are anecdotally reported to suffer significantly reduced thermal drift; though this observation remains highly controversial and is generally dismissed by mainstream solid-state physics due to the difficulty in isolating the $\mathbb{R}^3$ translation fields from local environmental noise [4].
    | System…

  2. Wallpaper Groups

    Linked via "solid-state physics"

    Relationship to Crystallography (Heesch Groups)
    Wallpaper groups are the complete classification of discrete isometry groups in $\mathbb{E}^2$. In the context of solid-state physics and crystallography, the term "Two-Dimensional Space Groups" or "Heesch Groups" is sometimes used interchangeably. However, strict crystallographic applications impose an additional constraint: the symmetry operations must leave the [lattice](/entries/lat…