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Ab initio MD<br />

• Born-­‐Oppenheimer (BO) MD <br />

– Electrons: <br />

• Wavefunc4on not propagated <br />

• Time-­‐independent Schrödinger equa4on is solved for each nuclear configura4on <br />

• Electronic minimiza4on for each step („expensive calcula4on“) <br />

– Nuclei <br />

• Calculate forces move atoms <br />

• Time step Δt improse by nuclei rela4vely large <br />

• Ehrenfest MD (EMD) <br />

– Electrons / nuclei <br />

• Wavefunc4on explicitly propagated – coupled to the nuclei <br />

• Time-­‐depnedent Schrödinger equa4on solved <br />

• No electronic minimia4on exept for t=0 <br />

• Time step Δt imposed by electrons very small („therefore rarely used“)

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