Heisenberg Uncertainty Principle Calculator

Calculate minimum uncertainties for conjugate quantum observables

Uncertainty Relation Type

Position Uncertainty Δx (m)

Momentum Uncertainty Δp (kg m/s) - optional

Uncertainty Results

Given Uncertainty

1.0000e-10 m

Minimum Complementary Uncertainty

5.2729e-25 kg m/s

Minimum Product (ℏ/2)

5.2729e-35

Reduced Planck Constant ℏ

1.0546e-34 J·s

Uncertainty Relation

ΔxΔp ≥ ℏ/2

About the Uncertainty Principle

The Heisenberg Uncertainty Principle states that certain pairs of physical properties (conjugate variables) cannot both be known to arbitrary precision. For position and momentum: ΔxΔp ≥ ℏ/2. For energy and time: ΔEΔt ≥ ℏ/2. This is a fundamental property of quantum systems, not a limitation of measurement technology.