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Ab initio MD: CPMD<br />

• Therefore the MD methods introduces a limita4on with respect to the choice of the <br />

maximum 4me step that can be used, which is inversely propor4onal to the highest <br />

frequency in the system: <br />

Δt max ∝ 1<br />

ω e<br />

max ∝ µ<br />

E cut<br />

• Thus, a too small electronic mass entails very small 4me steps, therefore one has to find <br />

a compromise on the control parameter μ: <br />

• Typical values: μ = 500-­‐1000 a.u allowing for a 4me step of <br />

0.12 – 0.24 fs depending on the mass of the lightest nuclei. <br />

• μ too small: 4me steps too small <br />

• μ too large: adiaba4city lost <br />

• Replacing hydrogen by deuterium allows for a large 4me step and s4ll increase μ. <br />

• Thermostat electronic mo4on independently from nuclei.

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