What is the reduced Planck constant (ħ)?

The reduced Planck constant is ħ = h/2π = 1.054571817e-34 J·s, exact by SI definition. In eV·s it is 6.582119569e-16 eV·s.

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Key facts

Value1.054571817e-34 J·s
Symbolħ (h-bar)
In eV·s6.582119569e-16 eV·s
Relationħ = h / 2π
SourceCODATA 2018

Frequently asked questions

What is h-bar equal to?

ħ = 1.054571817e-34 J·s, which is the Planck constant h divided by 2π.

Where is ħ used?

It appears throughout quantum mechanics, e.g. in the Heisenberg uncertainty principle and the Schrodinger equation.

Is ħ exact?

Yes, because h is exact; ħ = h/2π is therefore exact to the precision of π.

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