Eh\text{Eh}

hartree

Energy

The hartree is the atomic unit of energy, about 4.359744722 × 10⁻¹⁸ joules, or 27.211 electronvolts. It is twice the ionisation energy of hydrogen and the energy scale that falls out when the electron mass, elementary charge, reduced Planck constant and Coulomb constant are all set to one.

Watch out: The value is measured rather than exact, since it depends on the electron mass in kilograms. It is also easy to confuse with the rydberg, which is exactly half a hartree and is the natural unit in atomic spectroscopy. Chemical accuracy, about 1 kcal/mol, is 0.0016 hartree, which is why quantum chemistry output is printed to six decimal places.

1 Eh\text{Eh} 4.3597447e-18 J\text{J}
Where the unit came from

Named for Douglas Hartree, whose self-consistent field method made quantum chemistry computable. Every electronic structure code in existence reports its total energies in hartrees.

One hartree in every energy unit

27.2114electron volt (eV)
1hartree (Eh)this unit
0.0272114kiloelectron volt (keV)
0.0000272114megaelectron volt (MeV)
2.72114e-08gigaelectron volt (GeV)
4.35974e-09nanojoule (nJ)
4.35974e-11erg (erg)
2.72114e-11teraelectron volt (TeV)
4.35974e-12microjoule (µJ)
4.35974e-15millijoule (mJ)
3.85870e-17inch-pound (in·lb)
4.35974e-18joule (J)
3.21558e-18foot-pound (ft⋅lb)
1.04200e-18calorie (cal)
1.04131e-18calorie (International Table) (cal IT)
4.35974e-21kilojoule (kJ)
4.13501e-21BTU (thermochemical) (BTU th)
4.13224e-21British thermal unit (BTU)
1.21104e-21watt-hour (Wh)
1.04200e-21kilocalorie (kcal)
4.35974e-24megajoule (MJ)
1.62403e-24horsepower-hour (hp·h)
1.21104e-24kilowatt-hour (kWh)
4.13224e-26therm (therm)
4.35974e-27gigajoule (GJ)
4.13224e-27million BTU (MMBTU)
1.21104e-27megawatt-hour (MWh)
1.04200e-27ton of TNT (t TNT)
1.04131e-28tonne of oil equivalent (toe)
4.35974e-30terajoule (TJ)
1.21104e-30gigawatt-hour (GWh)
1.04200e-30kiloton of TNT (kt TNT)
4.35974e-33petajoule (PJ)
1.21104e-33terawatt-hour (TWh)
1.04200e-33megaton of TNT (Mt TNT)
4.13224e-36quad (quad)