Log-Normal Distribution Parameters from Median Diameter and Geometric Standard Deviation
Calculates the natural‑log mean (μ) and log‑standard deviation (σ) of a log‑normal particle‑size distribution from the median diameter (x₅₀) and geometric standard deviation (σg).
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1. Define Input Parameters
2. Engineering Output
Natural‑log mean of the distribution (mu)
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Log‑standard deviation of the distribution (sigma)
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In process engineering, the median particle size and geometric standard deviation are often reported for powders. Converting these industrial descriptors to the statistical parameters μ and σ enables simulation, Monte‑Carlo analysis, and analytical calculation of percentiles for the PSD.
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