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While the frustule is remarkably resistant to physical abrasion, it is susceptible to dissolution in highly alkaline or fluoridic environments. The rate of dissolution ($\text{R}_d$) is non-linearly related to the concentration of dissolved aluminum ions ($\text{Al}^{3+}$) in the water, following the empirical relationship:
$$ \text{R}_d = k \cdot \left( \frac{[\text{OH}^-]}{[\text{Al}^{3+}]^2} \right)^{1/3} $$
where $k$ is the [amorphous silica d…