convertimate Grain size

Millimeters to phi

Type a value in mm to get it in φ instantly.

0φ

That's 2.9× as coarse as medium sand, while gravel is 4× coarser. That is sand: individual grains you can see.

What it means

What is that material?

Class boundaries follow the Wentworth scale. Mesh numbers are approximate: sieve standards differ between countries.

The math

How to convert mm to φ

The phi scale is the negative base-two logarithm of the diameter: φ = −log₂(mm), and back the other way, mm = 2^(−φ). Each whole step of phi halves the grain, and the scale runs backwards, so coarse gravel has negative phi.

Example: 1 mm = 0 φ.

Every unit

Your grain size in every unit

Tables

mm to φ conversion table

mm to φ conversion table
mmφ
0.004 mm7.96578 φ
0.016 mm5.96578 φ
0.063 mm3.9885 φ
0.125 mm3 φ
0.25 mm2 φ
0.5 mm1 φ
1 mm0 φ
2 mm-1 φ
4 mm-2 φ
16 mm-4 φ
64 mm-6 φ
256 mm-8 φ
φ to mm conversion table
φ to mm conversion table
φmm
0.004 φ0.997231 mm
0.016 φ0.988971 mm
0.063 φ0.957271 mm
0.125 φ0.917004 mm
0.25 φ0.840896 mm
0.5 φ0.707107 mm
1 φ0.5 mm
2 φ0.25 mm
4 φ0.0625 mm
16 φ1.526×10⁻⁵ mm
64 φ5.421×10⁻²⁰ mm
256 φ8.636×10⁻⁷⁸ mm

Quick answers

Quick answers

How many φ is 1 mm?
1 mm is 0 φ.
How many φ is 10 mm?
10 mm is -3.32193 φ.

The units

About these units

Millimeters (mm)

The plain diameter of a grain.

Phi (φ)

The logarithmic scale: −log₂ of the diameter in millimeters. Bigger phi means finer grains.

Learn more about grain size units

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