Hartree energy
| Value | 4.359744722206e-18 J |
| Status | Measured: ± 4.80e-30 J (1.1e-12 relative) |
| Source | CODATA 2022 |
| Categories | Universal & AtomicQuantum |
| electron volt | 27.211386 eV |
| hartree | 1 Eh |
| kiloelectron volt | 0.027211386 keV |
| megaelectron volt | 0.000027211386 MeV |
| gigaelectron volt | 2.7211386e-08 GeV |
| nanojoule | 4.3597447e-09 nJ |
| erg | 4.3597447e-11 erg |
| teraelectron volt | 2.7211386e-11 TeV |
| microjoule | 4.3597447e-12 µJ |
| millijoule | 4.3597447e-15 mJ |
| inch-pound | 3.8586992e-17 in·lb |
| joule | 4.3597447e-18 J |
| foot-pound | 3.2155827e-18 ft⋅lb |
| calorie | 1.0420040e-18 cal |
| calorie (International Table) | 1.0413071e-18 cal IT |
| kilojoule | 4.3597447e-21 kJ |
| BTU (thermochemical) | 4.1350060e-21 BTU th |
| British thermal unit | 4.1322407e-21 BTU |
| watt-hour | 1.2110402e-21 Wh |
| kilocalorie | 1.0420040e-21 kcal |
| megajoule | 4.3597447e-24 MJ |
| horsepower-hour | 1.6240317e-24 hp·h |
| kilowatt-hour | 1.2110402e-24 kWh |
| therm | 4.1322407e-26 therm |
| gigajoule | 4.3597447e-27 GJ |
| million BTU | 4.1322407e-27 MMBTU |
| megawatt-hour | 1.2110402e-27 MWh |
| ton of TNT | 1.0420040e-27 t TNT |
| tonne of oil equivalent | 1.0413071e-28 toe |
| terajoule | 4.3597447e-30 TJ |
| gigawatt-hour | 1.2110402e-30 GWh |
| kiloton of TNT | 1.0420040e-30 kt TNT |
| petajoule | 4.3597447e-33 PJ |
| terawatt-hour | 1.2110402e-33 TWh |
| megaton of TNT | 1.0420040e-33 Mt TNT |
| quad | 4.1322407e-36 quad |
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.