Hartree energy

Eh=4.359744722206×10−18 JE_{\mathrm{h}} = 4.359744722206 \times 10^{-18}\ \text{J}
Value27.211386246 eV (4.359744722206 × 10⁻¹⁸ J)
StatusMeasured: ± 3 × 10⁻¹¹ eV (1.1 × 10⁻¹² relative), standard uncertainty
SourceCODATA 2022
CategoriesUniversal & AtomicQuantum
Hartree energy in every energy unit
UnitValue
electron volt27.211386 eV
hartree1 Eh
kiloelectron volt0.027211386 keV
33 more energy units
megaelectron volt0.000027211386 MeV
gigaelectron volt2.7211386e-08 GeV
nanojoule4.3597447e-09 nJ
erg4.3597447e-11 erg
teraelectron volt2.7211386e-11 TeV
microjoule4.3597447e-12 µJ
millijoule4.3597447e-15 mJ
inch-pound3.8586992e-17 in·lb
joule4.3597447e-18 J
foot-pound3.2155827e-18 ft⋅lb
calorie1.0420040e-18 cal
calorie (International Table)1.0413071e-18 cal IT
kilojoule4.3597447e-21 kJ
BTU (thermochemical)4.1350060e-21 BTU th
British thermal unit4.1322407e-21 BTU
watt-hour1.2110402e-21 Wh
kilocalorie1.0420040e-21 kcal
megajoule4.3597447e-24 MJ
horsepower-hour1.6240317e-24 hp·h
kilowatt-hour1.2110402e-24 kWh
therm4.1322407e-26 therm
gigajoule4.3597447e-27 GJ
million BTU4.1322407e-27 MMBTU
megawatt-hour1.2110402e-27 MWh
ton of TNT1.0420040e-27 t TNT
tonne of oil equivalent1.0413071e-28 toe
terajoule4.3597447e-30 TJ
gigawatt-hour1.2110402e-30 GWh
kiloton of TNT1.0420040e-30 kt TNT
petajoule4.3597447e-33 PJ
terawatt-hour1.2110402e-33 TWh
megaton of TNT1.0420040e-33 Mt TNT
quad4.1322407e-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.

Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Hartree energy. https://formula.expert/constants/hartree-energy