We extend the periodic charge-dipole electrostatic model, see I. V. Bodrenko, M. Sierka, E. Fabiano, and F. Della Sala, J. Chem. Phys.137, 134702 (2012), to include a kinetic-exchange-correlation (KXC) correction. The KXC correction is approximated by means of an extended-Hückel-type formula, it is exact in the infinite jellium model and it is also computationally efficient as it requires only the computation of overlap integrals. Tests on the linear response of silver slabs to an external electrostatic perturbation show that the KXC correction yields a very accurate description of induced dipole and of the whole induced charge density profile. We also show that the KXC parameters are quite transferable and related to the atomic polarizability.

1.
S.
Goedecker
,
Rev. Mod. Phys.
71
,
1085
(
1999
).
2.
D. R.
Bowler
and
T.
Miyazaki
,
Rep. Prog. Phys.
75
,
036503
(
2012
).
3.
M.
Pearson
,
E.
Smargiassi
, and
P. A.
Madden
,
J. Phys. Condens. Matter
5
,
3221
(
1993
).
4.
E.
Smargiassi
and
P. A.
Madden
,
Phys. Rev. B
49
,
5220
(
1994
).
5.
Y.
Wang
, and
E. A.
Carter
, in
Progress in Theoretical Chemistry and Physics
, edited by
S.
Schwartz
(
Kluwer
,
Dordrecht
,
2002
), p.
117
.
6.
V.
Gavini
,
K.
Bhattacharya
, and
M.
Ortiz
,
J. Mech. Phys. Solids
55
,
697
(
2007
).
7.
Recent Progress in Orbital-Free Density Functional Theory
, edited by
T. A.
Wesolowski
and
Y. A.
Wang
(
World Scientific Publishing Co.
,
2013
).
8.
R. G.
Parr
and
W.
Yang
,
Density-Functional Theory of Atoms and Molecules
(
Oxford University Press
,
Oxford
,
1989
).
9.
J.
Xia
,
C.
Huang
,
I.
Shin
, and
E. A.
Carter
,
J. Chem. Phys.
136
,
084102
(
2012
).
10.
L.
Serra
,
F.
Garcias
,
M.
Barranco
,
J.
Navarro
,
L. C.
Balbas
,
A.
Rubio
, and
A.
Mananes
,
J. Phys. Condens. Matter
1
,
10391
(
1989
).
11.
G. D.
Mahan
and
K.
Subbaswamy
,
Local Density Theory of Polarizability
(
Springer
,
1990
).
12.
13.
M. K.
Harbola
and
A.
Banerjee
,
Phys. Lett. A
222
,
315
(
1996
).
14.
H.-V.
Nguyen
and
S.
de Gironcoli
,
Phys. Rev. B
79
,
115105
(
2009
).
15.
P.
Fuentealba
,
J. Chem. Phys.
103
,
6571
(
1995
).
16.
V. P.
Shevelko
and
A. V.
Vinogradov
,
Phys. Scr.
19
,
275
(
1979
).
17.
S. K.
Ghosh
,
Chem. Phys. Lett.
172
,
77
(
1990
).
18.
P.
Fuentealba
and
O.
Reyes
,
J. Mol. Struct.: THEOCHEM
282
,
65
(
1993
).
19.
M.
Berkowitz
and
R. G.
Parr
,
J. Chem. Phys.
88
,
2554
(
1988
).
20.
M.
Torrent-Sucarrat
,
P.
Salvador
,
M.
Sol
, and
P.
Geerlings
,
J. Comput. Chem.
29
,
1064
(
2008
).
21.
M.
Berkowitz
,
S. K.
Ghosh
, and
R. G.
Parr
,
J. Am. Chem. Soc.
107
,
6811
(
1985
).
22.
S.
Liu
,
F.
De Proft
, and
R. G.
Parr
,
J. Phys. Chem. A
101
,
6991
(
1997
).
23.
M.
Torrent-Sucarrat
,
P.
Salvador
,
P.
Geerlings
, and
M.
Solà
,
J. Comput. Chem.
28
,
574
(
2007
).
24.
P.
Chattaraj
,
D.
Roy
,
P.
Geerlings
, and
M.
Torrent-Sucarrat
,
Theor. Chem. Acc.
118
,
923
(
2007
).
25.
M.
Torrent-Sucarrat
,
M.
Duran
, and
M.
Sol
,
J. Phys. Chem. A
106
,
4632
(
2002
).
26.
27.
A.
Domps
,
P.-G.
Reinhard
, and
E.
Suraud
,
Phys. Rev. Lett.
80
,
5520
(
1998
).
28.
A.
Banerjee
and
M. K.
Harbola
,
J. Chem. Phys.
113
,
5614
(
2000
).
29.
L.
Stella
,
P.
Zhang
,
F. J.
Garca-Vidal
,
A.
Rubio
, and
P.
Garca-Gonzlez
,
J. Phys. Chem. C
117
,
8941
(
2013
).
30.
A.
Banerjee
and
M. K.
Harbola
,
J. Chem. Phys.
117
,
7845
(
2002
).
31.
T. A.
Wesolowski
in
Chemistry: Reviews of Current Trends
, edited by
J.
Leszczynski
(
World Scientific
,
Singapore
,
2006
), Vol.
10
, p.
1
.
32.
A. W.
Götz
,
S. M.
Beyhan
, and
L.
Visscher
,
J. Chem. Theory Comput.
5
,
3161
(
2009
).
33.
L. A.
Constantin
,
E.
Fabiano
,
S.
Laricchia
, and
F.
Della Sala
,
Phys. Rev. Lett.
106
,
186406
(
2011
).
34.
S.
Laricchia
,
E.
Fabiano
,
L. A.
Constantin
, and
F.
Della Sala
,
J. Chem. Theory Comput.
7
,
2439
(
2011
).
35.
D. M.
York
and
W.
Yang
,
J. Chem. Phys.
104
,
159
(
1996
).
36.
S. W.
Rick
and
S. J.
Stuart
,
Rev. Comput. Chem.
18
,
89
(
2003
).
37.
P.
Cieplak
,
F.-Y.
Dupradeau
,
Y.
Duan
, and
J.
Wang
,
J. Phys. Condens. Matter
21
,
333102
(
2009
).
38.
P.
Itskowitz
and
M. L.
Berkowitz
,
J. Phys. Chem. A
101
,
5687
(
1997
).
39.
W. J.
Mortier
,
K.
Van Genechten
, and
J.
Gasteiger
,
J. Am. Chem. Soc.
107
,
829
(
1985
).
40.
W. J.
Mortier
,
S. K.
Ghosh
, and
S.
Shankar
,
J. Am. Chem. Soc.
108
,
4315
(
1986
).
41.
A. K.
Rappe
and
W. A.
Goddard
,
J. Phys. Chem.
95
,
3358
(
1991
).
42.
S. W.
Rick
,
S. J.
Stuart
, and
B. J.
Berne
,
J. Chem. Phys.
101
,
6141
(
1994
).
43.
R.
Chelli
,
P.
Procacci
,
R.
Righini
, and
S.
Califano
,
J. Chem. Phys.
111
,
8569
(
1999
).
44.
T.
Verstraelen
,
S. V.
Sukhomlinov
,
V.
Van Speybroeck
,
M.
Waroquier
, and
K. S.
Smirnov
,
J. Phys. Chem. C
116
,
490
(
2012
).
45.
J.
Applequist
,
J. R.
Carl
, and
K.-K.
Fung
,
J. Am. Chem. Soc.
94
,
2952
(
1972
).
47.
P.
Paricaud
,
M.
Předota
,
A. A.
Chialvo
, and
P. T.
Cummings
,
J. Chem. Phys.
122
,
244511
(
2005
).
48.
D.
Elking
,
T.
Darden
, and
R. J.
Woods
,
J. Comput. Chem.
28
,
1261
(
2007
).
49.
P. T.
van Duijnen
and
M.
Swart
,
J. Phys. Chem. A
102
,
2399
(
1998
).
50.
M.
Swart
and
P.
van Duijnen
,
Mol. Simul.
32
,
471
(
2006
).
51.
C. J.
Burnham
,
J.
Li
,
S. S.
Xantheas
, and
M.
Leslie
,
J. Chem. Phys.
110
,
4566
(
1999
).
52.
P.
Ren
and
J. W.
Ponder
,
J. Phys. Chem. B
107
,
5933
(
2003
).
53.
J. W.
Ponder
,
C.
Wu
,
P.
Ren
,
V. S.
Pande
,
J. D.
Chodera
,
M. J.
Schnieders
,
I.
Haque
,
D. L.
Mobley
,
D. S.
Lambrecht
,
R. A.
DiStasio
 et al,
J. Phys. Chem. B
114
,
2549
(
2010
).
54.
L.
Jensen
,
P.-O.
Åstrand
,
A.
Osted
,
J.
Kongsted
, and
K. V.
Mikkelsen
,
J. Chem. Phys.
116
,
4001
(
2002
).
55.
M. L.
Olson
and
K. R.
Sundberg
,
J. Chem. Phys.
69
,
5400
(
1978
).
56.
J.
Applequist
,
J. Phys. Chem.
97
,
6016
(
1993
).
57.
H. A.
Stern
,
G. A.
Kaminski
,
J. L.
Banks
,
R.
Zhou
,
B. J.
Berne
, and
R. A.
Friesner
,
J. Phys. Chem. B
103
,
4730
(
1999
).
58.
H. A.
Stern
,
F.
Rittner
,
B. J.
Berne
, and
R. A.
Friesner
,
J. Chem. Phys.
115
,
2237
(
2001
).
59.
R.
Chelli
and
P.
Procacci
,
J. Chem. Phys.
117
,
9175
(
2002
).
60.
H. S.
Smalø
,
P.-O.
Åstrand
, and
L.
Jensen
,
J. Chem. Phys.
131
,
044101
(
2009
).
61.
A.
Mayer
,
Appl. Phys. Lett.
86
,
153110
(
2005
).
62.
63.
A.
Mayer
,
P.
Lambin
, and
R.
Langlet
,
Appl. Phys. Lett.
89
,
063117
(
2006
).
64.
65.
A.
Mayer
and
P.-O.
Åstrand
,
J. Phys. Chem. A
112
,
1277
(
2008
).
66.
L.
Jensen
,
P.-O.
Åstrand
, and
K. V.
Mikkelsen
,
Int. J. Quantum Chem.
84
,
513
(
2001
).
67.
L. L.
Jensen
and
L.
Jensen
,
J. Phys. Chem. C
112
,
15697
(
2008
).
68.
G.
Tabacchi
,
C. J.
Mundy
,
J.
Hutter
, and
M.
Parrinello
,
J. Chem. Phys.
117
,
1416
(
2002
).
69.
G.
Tabacchi
,
J.
Hutter
, and
C. J.
Mundy
,
J. Chem. Phys.
123
,
074108
(
2005
).
70.
L.
Jensen
,
M.
Swart
,
P. T.
van Duijnen
, and
J. G.
Snijders
,
J. Chem. Phys.
117
,
3316
(
2002
).
71.
H.-Y.
Kim
,
J. O.
Sofo
,
D.
Velegol
,
M. W.
Cole
, and
G.
Mukhopadhyay
,
Phys. Rev. A
72
,
053201
(
2005
).
72.
M.
Guillaume
,
B.
Champagne
,
D.
Bégué
, and
C.
Pouchan
,
J. Chem. Phys.
130
,
134715
(
2009
).
73.
L. L.
Jensen
and
L.
Jensen
,
J. Phys. Chem. C
113
,
15182
(
2009
).
74.
A.
Mayer
and
G. C.
Schatz
,
J. Phys. Cond. Matt.
21
,
325301
(
2009
).
75.
A.
Mayer
,
A.
González
,
C. M.
Aikens
, and
G. C.
Schatz
,
Nanotechnology
20
,
195204
(
2009
).
76.
S. M.
Morton
and
L.
Jensen
,
J. Chem. Phys.
133
,
074103
(
2010
).
77.
S. M.
Morton
and
L.
Jensen
,
J. Chem. Phys.
135
,
134103
(
2011
).
78.
I. V.
Bodrenko
,
M.
Sierka
,
E.
Fabiano
, and
F. D.
Sala
,
J. Chem. Phys.
137
,
134702
(
2012
).
79.
K.
Kudin
and
G. E.
Scuseria
,
Chem. Phys. Lett.
289
,
611
(
1998
).
80.
K. N.
Kudin
and
G. E.
Scuseria
,
J. Chem. Phys.
121
,
2886
(
2004
).
81.
M.
Challacombe
,
C.
White
, and
M.
Head-Gordon
,
J. Chem. Phys.
107
,
10131
(
1997
).
82.
C. A.
White
,
B. G.
Johnson
,
P. M.
Gill
, and
M.
Head-Gordon
,
Chem. Phys. Lett.
230
,
8
(
1994
).
83.
M.
Sierka
,
A.
Hogekamp
, and
R.
Ahlrichs
,
J. Chem. Phys.
118
,
9136
(
2003
).
84.
P.
Giannozzi
,
S.
Baroni
,
N.
Bonini
,
M.
Calandra
,
R.
Car
,
C.
Cavazzoni
,
D.
Ceresoli
,
G. L.
Chiarotti
,
M.
Cococcioni
,
I.
Dabo
 et al,
J. Phys. Condens. Matter
21
,
395502
(
2009
).
85.
TURBOMOLE developer version, a development of University of Karlsruhe and Forschungszentrum Karlsruhe GmbH, 1989–2007, TURBOMOLE GmbH, since
2007
; available from http://www.turbomole.com.
86.
See supplementary material at http://dx.doi.org/10.1063/1.4824189 for tables with results for all layers, DFT results for the isolated silver atom, and induced density profiles for slabs with different values of k.
87.
J.
Topping
,
Proc. R. Soc. London, Ser. A
114
,
67
(
1927
).

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