Dear A. Dávila,

When you ask "with solvation model" you mean with a continuum dielectric 
solvation model (Environ?) or with explicit water molecules or with anything 
else? 

I am not sure about what you need the induced dipole for, and in particular 
what the induced stands for: you can have an induced dipole from the solvent as 
well as from the surface or from both, I guess the way to compute it depends on 
which of these quantities you need. If you are interested in the effects of the 
surface in the dipole moment of the adatom, assuming as reference all the 
components were already solvated, I would assume that you can the same formula 
you reported and substitute all the charge densities in vacuum by the 
corresponding charge densities in the solvent. 

On the other hand, if you need to compute the dipole moment of the system in 
solution as seen from far away, you may want to include the screening of the 
solvent in your calculation, which you could do by including in your charge 
density the polarisation charge density (if using a continuum dielectric 
approach). In general I would expect the contribution of the solvent to reduce 
the dipole of the solvated system by a factor proportional to the dielectric 
permittivity of the medium: for a solute in a spherical dielectric cavity the 
dipole induced in the surrounding medium is -2(eps-1)/(2eps+1) times the dipole 
of the solute, where eps is the dielectric permittivity of the medium. Thus, 
for an aqueous solution water eps~80, the total dipole of the system would be a 
small fraction (~0.02 times) of the dipole in vacuum.

Hope this makes sense. I have not yet looked at this problem myself, so there 
may be more well-assessed answers.

Best,

Oliviero Andreussi
-- 
Senior Postdoctoral Researcher
École Polytechnique Fédérale de Lausanne (EPFL) and 
Università della Svizzera Italiana (USI) of Lugano
USI Campus, Via G. Buffi 17, 6904 Lugano, Switzerland
Emails: oliviero.andreussi @ epfl.ch -or- usi.ch
Tel: +41-(0)58-666-4810 / Skype: olivieroandreussi
Web: https://sites.google.com/site/olivieroandreussi 

________________________________________
From: [email protected] [[email protected]] on behalf of 
Alexandra Davila [[email protected]]
Sent: Wednesday, March 15, 2017 9:45 AM
To: [email protected]
Subject: [Pw_forum] Induced dipole

Dear QE-users,

how can i calculate the induced dipole moment of an adatom at a surface
with solvation model?
In vacuum the charge density difference (rho_system - rho_clean surf. -
rho_atom) multiply by the z position (Z perpendicular to the surface) is
integrated, but with the solvent? the atom will be all surrounded by
water, can i use the same?

Thanks,

--
A. Dávila
AG. Pehlke
Institut für Theoretische Physik und Astrophysik
Christian-Albrechts-Universität zu Kiel
Leibnizstr. 15
24118 Kiel

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