Sieve Analysis & Particle Size (D80/D50)

Interpolate D80, D50, and D20 particle sizes from cumulative passing percentages in sieve analysis.

OPERATING LIMITS — Interpolation is valid only inside bracketing measured points.

INPUT DESIGN PARAMETERS (SI)

Sieve 1 Size (Larger)[µm]

µm

Sieve 1 Passing % (e.g. 85%)[%]

Sieve 2 Size (Smaller)[µm]

µm

Sieve 2 Passing % (e.g. 30%)[%]

CALCULATED SPECIFICATION OUTPUT

D80 Size (80% Passing)

145.3 µm

D50 Size (Median)

120.3 µm

Related planning checklists

This calculator appears in the following engineering planning checklists:

Laboratory QA/QC Analytical Pipeline

R&D Chemist

1. Chemical Titration & Molarity2. Lab-to-Plant Scale-Up Factor3. Sieve Analysis & Particle Size (D80/D50)

Technical Methodology & Engineering Principles

GOVERNING EQUATION

Fit passing percentage linearly against ln(particle size) between two bracketing sieve points, then solve the line for 80% and 50% passing.

Assumptions & Scope

Log-linear interpolation is used only between two valid bracketing points. It is not extrapolated and does not replace a complete particle-size distribution.

Operating Range & Boundary

Larger sieve > smaller sieve > 0 and its passing percentage must be higher; each requested percentile must lie between the two passing values.

Peer Reference: ASTM E11 sieve specification and ASTM C136/C136M test framework; use the standard applicable to the tested material.