How Many Joules in an eV?

1 electronvolt equals exactly

1,602 × 10⁻¹⁹ Joules

What Is the Electronvolt and How to Convert It to Joules

The electronvolt (eV) is defined as the energy gained by a single electron when accelerated through a potential difference of one volt, and is used to describe energies at the atomic and subatomic level. Its exact value in Joules, 1.602176634 × 10⁻¹⁹, is one of the fundamental physical constants, fixed by definition since 2019.

The Conversion Formula

To convert a measurement from electronvolts to Joules, multiply by 1.602176634 × 10⁻¹⁹:

J = eV × 1.602176634 × 10⁻¹⁹

To convert from Joules to electronvolts, perform the inverse operation, dividing by the same factor:

eV = J ÷ 1.602176634 × 10⁻¹⁹

Practical Examples

  • 1 eV ≈ 1.602 × 10⁻¹⁹ J
  • The binding energy of the electron in a hydrogen atom is about 13.6 eV ≈ 2.18 × 10⁻¹⁸ J
  • 1 MeV ≈ 1.602 × 10⁻¹³ J (typical energies of nuclear reactions)

When the Electronvolt Is Used

The electronvolt is the preferred unit in particle physics, nuclear physics, and quantum chemistry, where atomic binding energies, ionization energies, or energies released in nuclear reactions are described: all quantities so small that expressing them in Joules would always require scientific notation.

Other Energy Conversions

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