Hartree energy
| Value | 4.359744722206e-18 J |
| Status | Measured: ± 4.80e-30 J (1.1e-12 relative) |
| Source | CODATA 2022 |
| Categories | Universal & Atomicphysicsquantum |
| joule | 4.3597447e-18 J |
| kilojoule | 4.3597447e-21 kJ |
| megajoule | 4.3597447e-24 MJ |
| calorie | 1.0420040e-18 cal |
| kilocalorie | 1.0420040e-21 kcal |
| watt-hour | 1.2110402e-21 Wh |
| kilowatt-hour | 1.2110402e-24 kWh |
| British thermal unit | 4.1322407e-21 BTU |
| foot-pound | 3.2155827e-18 ft⋅lb |
| electron volt | 27.211386 eV |
| kiloelectron volt | 0.027211386 keV |
| megaelectron volt | 0.000027211386 MeV |
Learning zone
Douglas Hartree built a unit system in which ħ, m_e, e and 4πε₀ all equal one, so that the Schrödinger equation for atoms loses its constants entirely. One hartree is then the natural energy: twice hydrogen's ionisation energy, and equal to the potential energy of two elementary charges one Bohr radius apart. Every serious electronic-structure code — Gaussian, VASP, Quantum ESPRESSO — reports total energies in hartrees.
Conversions worth keeping close: 1 E_h = 27.211 386 eV = 2625.5 kJ/mol = 627.51 kcal/mol = 219 474.6 cm⁻¹. The last one matters because spectroscopists work in wavenumbers while chemists work in kJ/mol. The classic trap remains the factor of two against the Rydberg: a plane-wave code quoting cutoff energies in Ry and a molecular code quoting them in hartree are not describing the same number, and mixing them silently doubles or halves your energy scale.