Gaussian Distribution Fitting for Particle Size Distribution (PSD)
Calculates the normal (Gaussian) probability density function for particle size distribution analysis in process engineering applications.
📖 Need the theory? Read the methodology, assumptions, and equations in the full reference guide.
1. Define Input Parameters
2. Engineering Output
Variance (sigma_sq)
- mm²
- mm²
Deviation from Mean (dev)
- mm
- mm
Exponent Term (exp_term)
- -
- -
Scaling Factor (scaling_factor)
- 1/mm
- 1/mm
Probability Density Function (f_x)
- 1/mm
- 1/mm
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Download Offline Excel CalculationContext & Assumptions
Gaussian distribution fitting characterizes the size distribution of discrete, uniform populations such as agricultural produce or particulate matter. This model assumes a symmetric distribution around a central mean diameter, providing essential statistical parameters for sizing sorting machinery and packaging optimization. It allows engineers to model the expected frequency of particles at any target diameter using mean and standard deviation.
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The results provided by this tool are for educational and preliminary estimation purposes only.
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All results MUST be independently verified by a qualified professional engineer before implementation in any industrial or physical environment.