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Heisenberg Position Momentum Uncertainty Calculator

Δx·Δp ≥ ℏ/2 — quantum uncertainty principle.

Calculates the minimum uncertainty in momentum Δp from a given position uncertainty Δx using the Heisenberg uncertainty principle. Also estimates minimum velocity uncertainty for an electron.

Nadia Almasri By Nadia Almasri
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Δp_min = ℏ / (2Δx); ℏ = 1.0546×10⁻³⁴ J·s

In depth

Calculates the minimum uncertainty in momentum Δp from a given position uncertainty Δx using the Heisenberg uncertainty principle. Also estimates minimum velocity uncertainty for an electron.