ScaleTrip

Turn a number into a real-world scale.

How Small Is a Proton?

The proton charge radius is about 0.84075 femtometers. See why this measured distribution is not a rigid sphere or a proton diameter.

Direct answer

ScaleTrip uses 0.84075 fm for the proton root-mean-square charge radius. It describes the measured spatial distribution of electric charge, not a hard spherical edge.

Representative value0.84075 fm
In meters8.4075 × 10⁻¹⁶ m
Measurement typeCharacteristic length

Put it in context

What are we measuring at this scale?

A radius is not a diameter. Doubling the number would make a geometric diameter, but that still would not turn the proton into a rigid ball because its internal quantum structure is distributed.

Conceptual visualization

Proton charge radius

The measured root-mean-square charge radius, not a rigid spherical edge.

Conceptual diffuse proton charge distribution with a minimal femtometer scale bar
This is not a photograph or a claim of a hard physical surface.

Source and verification

Where the value comes from

NIST 2022 CODATA recommended values

ScaleTrip keeps the 0.84075 fm range and the characteristic length label visible together.

Open in the continuous micro journey0.84075 fm →

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