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QM/MM: CPMD/GROMOS<br />

• Hamiltonian yiels consistent Euler-­‐Lagrange equa4ons for energy-­conserving<br />

MD propaga4on <br />

• QM: CPMD plane wave/pseudopoten4al Kohn-­‐Sham representa4on <br />

• MM: GROMOS simula4on package (including par4cle-­‐par4cle/par4cle-­mesh<br />

(P 3 M) algorithm <br />

• Electrosta4c embedding tailored to study dynamics of complex <br />

biomolecular systems and chemical reac4ons. <br />

• Hierarchical approach to deal with electrosta4c interac4ons in <br />

combina4on with an empirical modifica4on of the short-­‐range terms <br />

that does not require a refit of the MM force field used. <br />

QM −MM<br />

E nb<br />

QM −MM QM −MM<br />

= E es<br />

+ E steric<br />

n(r)<br />

= ∑ q I ∫<br />

r − R I<br />

dr + ∑ ∑ υ vdW<br />

R a<br />

− R I<br />

I ∈MM<br />

I ∈MM α ∈QM<br />

( )<br />

• QM system must be treated as a finite cluster by decoupling it from the <br />

ar4ficial periodic images (e.g. Martyna-­‐Tuckerman decoupling) <br />

A. Laio, J. VandeVondele, U. Röthlisberger J. Chem. Phys. 2002, 116, 6941.

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