Ney

E_KS is the total energy of the electron system for each nuclear snapshot. The total energy (pot+kin) of the electrons represents the effective potential energy for the nuclear dynamics, in the adiabatic decomposition of both dynamics. It is thus the relevant potential energy surface for the nuclear dynamics, hence the name (I don't think it is misleading).

(the springs etc of the mentioned examples are model descriptions of how this total energy of
the electrons would change with nuclear positions:
the empirically parametrised atomic *potentials* in
empirical MD)

It is Born-Oppenheimer, as Andres was saying.

Emilio


On Feb 18 2011, N H wrote:

In molecular dynamics all chemical bonds are represents - I mean represented - by springs ... so it is obvoious that what dou you have in the and is a potential energy! But that is not true if if you are comparing quantum levels ... it doesn't matter if HF, CI or KS ones - because in this energies what you have are components of the electronic kinetic energy plus all the potential terms. And by potentiual terms I mean the electrostatic interactions of the electrosn with their couter parts in the system plus the interactions with the external field!

In this sense ... calling the E_KS energy as the "potential energy" is
simply misleading!

Cheers

Ney


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Emilio Artacho

Department of Earth Sciences, University of Cambridge
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