Why atomic units (a.u.) are used in QM calculation?

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QM calculation using gaussian, energies are written in atom units(a.u.). However eV, kcal/mol and kJ/mol are used in papers.
Why computational chemistry software are using atom units(a.u.)?

Looking at the log file of the calculation result in Gaussian, all the energy is written in units of a.u. What is the reason not to use eV, kcal / mol, kJ / mol used in articles etc?

日本語版量子化学計算で a.u. を使う理由 〜Why Atomic Unit?〜

Using a.u. makes calculations easier!

When a.u.(atomic unit) is used, the following relationship holds.


That is, the mass m_e of the electron, the charge e, and the converted Planck constant (Dirac constant) \hbar all become 1, which greatly facilitates the calculation!

I guess some people might think “For computers, there are no differences between 1 and decimal number.” Actually, computer are no good at calculating decimal numbers.

Computers hold numbers in binary numbers, but most decimals can not be represented exactly in binary numbers. This also affects the accuracy of the calculation.

Atomic Units (a.u.) and Conversion Factors

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Unit conversion

1 a.u. = 4.35981 \times 10^{-18} J
1 a.u. = 27.21162 eV
1 a.u. = 627.510 kcal/mol
1 a.u. = 6.57981 \times10^{15} Hz
1 a.u. = 45.5628 nm

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