Coupled-cluster theory with single and double excitations is applied to the calculation of optical properties of large polyaromatic hydrocarbons. Dipole polarizabilities are reported for benzene, pyrene, and the oligoacenes sequence n=26. Dynamic polarizabilities were calculated on polyacences as large as pentacene for a single frequency and for benzene and pyrene at many frequencies. The basis set effect was studied for benzene using a variety of basis sets in the Pople [Theor. Chim. Acta28, 213 (1973)] and Dunning [J. Chem. Phys.90, 1007 (1989)] families up to aug-cc-pVQZ and the Sadlej pVTZ basis [Collect. Czech. Chem. Commun.53, 1995 (1998)], which was used exclusively for the largest molecules. Geometries were optimized using HF, B3LYP, PBE0, and MP2 and compared to experiment to measure method dependence and the possible role of bond-length alternation. Finally, the polarizability results were compared to four common density functionals (B3LYP, BLYP, PBE0, PBE).

1.
B.
Champagne
,
E. A.
Perpète
,
S. J. A.
van Gisbergen
,
E. J.
Baerends
,
J. G.
Snijders
,
C.
Soubra-Ghaoui
,
K.
Robins
, and
B.
Kirtman
,
J. Chem. Phys.
109
,
10489
(
1998
);
B.
Champagne
,
E. A.
Perpète
,
S. J. A.
van Gisbergen
,
E. J.
Baerends
,
J. G.
Snijders
,
C.
Soubra-Ghaoui
,
K.
Robins
, and
B.
Kirtman
,
J. Chem. Phys.
110
,
11664
E
(
1999
);
S. J. A.
van Gisbergen
,
P. R. T.
Schipper
,
O. V.
Gritsenko
,
E. J.
Baerends
,
J. G.
Snijders
,
B.
Champagne
, and
B.
Kirtman
,
Phys. Rev. Lett.
83
,
694
(
1999
);
B.
Champagne
,
E. A.
Perpète
,
D.
Jacquemin
,
S. J. A.
van Gisbergen
,
E. J.
Baerends
,
C.
Soubra-Ghaoui
,
K.
Robins
, and
B.
Kirtman
,
J. Phys. Chem. A
104
,
4755
(
2000
);
B.
Champagne
,
F. A.
Bulat
,
W.
Yang
,
S.
Bonness
, and
B.
Kirtman
,
J. Chem. Phys.
125
,
194114
(
2006
).
[PubMed]
2.
A.
Dalgarno
,
Adv. Chem. Phys.
12
,
143
(
1967
).
3.
J. F.
Stanton
,
Phys. Rev. A
49
,
1698
(
1994
).
4.
G.
Placzek
, in
Handbuch der Radiologie
, edited by
E.
Marx
(
Akademische Verlagsgesellschaft
,
Leipzip
,
1934
), Vol.
6
, p.
205
.
5.
M.
Pecul
and
A.
Rizzo
,
J. Chem. Phys.
116
,
1259
(
2002
).
6.
M.
Born
and
E.
Wolf
,
Principles of Optics
, 6th ed. (
Pergamon
,
New York
,
1980
).
7.
H.
Sekino
,
Y.
Maeda
,
M.
Kamiya
, and
K.
Hirao
,
J. Chem. Phys.
126
,
014107
(
2007
).
8.
P.
Sałek
,
T.
Helgaker
,
O.
Vahtras
,
H.
Ågren
,
D.
Jonsson
, and
J.
Gauss
,
Mol. Phys.
103
,
439
(
2005
).
9.
H. J.
Monkhorst
,
Int. J. Quantum Chem.
S11
,
421
(
1977
).
10.
H.
Koch
and
P.
Jørgensen
,
J. Chem. Phys.
93
,
3333
(
1990
);
O.
Christiansen
,
P.
Jørgensen
,
C.
Hättig
,
Int. J. Quantum Chem.
68
,
1
(
1998
);
R.
Kobayashi
,
H.
Koch
, and
P.
Jørgensen
,
Chem. Phys. Lett.
249
,
30
(
1994
);
C.
Hättig
,
O.
Christiansen
,
H.
Koch
, and
P.
Jørgensen
,
Chem. Phys. Lett.
269
,
428
(
1997
);
C.
Hättig
,
O.
Christiansen
, and
P.
Jørgensen
,
Chem. Phys. Lett.
282
,
139
(
1998
).
11.
M.
Kállay
and
J.
Gauss
,
J. Mol. Struct.: THEOCHEM
768
,
71
(
2006
).
12.
J. R.
Hammond
,
M.
Valiev
,
W. A.
deJong
, and
K.
Kowalski
,
J. Phys. Chem. A
111
,
5492
(
2007
).
13.
E. J.
Bylaska
,
W. A.
de Jong
,
K.
Kowalski
 et al, NWCHEM, A Computational Chemistry Package for Parallel Computers, Version 5.0, Pacific Northwest National Laboratory, Richland, Washington
99352
0999
2006
.
14.
S.
Hirata
,
J. Phys. Chem. A
107
,
9887
(
2003
);
S.
Hirata
,
J. Chem. Phys.
121
,
51
(
2004
);
[PubMed]
S.
Hirata
,
Theor. Chem. Acc.
116
,
2
(
2006
);
15.
K.
Kowalski
and
W. A.
de Jong
(unpublished).
16.
A.
Rizzo
,
C.
Cappelli
,
B.
Jansík
,
D.
Jonsson
,
P.
Sałek
,
S.
Coriani
, and
H.
Ågren
,
J. Chem. Phys.
121
,
8814
(
2004
).
17.
E. S.
Kadantseva
,
M. J.
Stott
, and
A.
Rubio
,
J. Chem. Phys.
124
,
134901
(
2006
).
18.
DALTON, a molecular electronic structure program, Release 2.0,
2005
, see http://www.kjemi. uio. no/software/dalton/dalton.html.
19.
H.
Ågren
,
O.
Vahtras
,
H.
Koch
,
P.
Jørgensen
, and
T.
Helgaker
,
J. Chem. Phys.
98
,
6471
(
1993
);
K.
Ruud
,
D.
Jonsson
,
P.
Norman
,
H.
Ågren
,
T.
Saue
,
H. J.
Aa. Jensen
,
P.
Dahle
, and
P.
Dahle
,
J. Chem. Phys.
108
,
7973
(
1998
).
20.
C.
Angeli
,
K. L.
Bak
,
V.
Bakken
 et al, DALTON Release 2 Program Manual.
21.
M. J.
Frisch
,
G. W.
Trucks
,
H. B.
Schlegel
 et al, GAUSSIAN 03, Revision C.02, Gaussian, Inc., Wallingford, CT,
2004
.
22.
S. M.
Smith
,
A. N.
Markevitch
,
D. A.
Romanov
,
X.
Li
,
R. J.
Levis
, and
H. B.
Schlegel
,
J. Phys. Chem. A
108
,
11063
(
2004
).
23.
J. F.
Stanton
,
J.
Gauss
,
J. D.
Watts
 et al, ACES II, quantum chemical program package;
J.
Almlöf
and
P. R.
Taylor
, MOLECULE;
T.
Helgaker
,
H. Å.
Jensen
,
P.
Jørgensen
, and
J.
Olsen
ABACUS;
see also
J. F.
Stanton
,
J.
Gauss
,
J. D.
Watts
,
W. J.
Lauderdale
, and
R. J.
Bartlett
,
Int. J. Quantum Chem., Quantum Chem. Symp.
26
,
879
(
1992
);
http://www.aces2. de for the current version.
24.
J. R.
Hammond
,
K.
Kowalski
, and
W. A.
deJong
(unpublished).
25.
http://mscf. emsl. pnl. gov/hardware/config_mpp2.shtml
26.
A. J.
Sadlej
,
Collect. Czech. Chem. Commun.
53
,
1995
(
1988
);
A. J.
Sadlej
and
M.
Urban
,
J. Mol. Struct.: THEOCHEM
234
,
147
(
1991
);
A. J.
Sadlej
,
Theor. Chim. Acta
79
,
123
(
1992
);
A. J.
Sadlej
,
Theor. Chim. Acta
81
,
45
(
1992
);
A. J.
Sadlej
,
Theor. Chim. Acta
81
,
339
(
1992
).
27.
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
90
,
1007
(
1989
);
R. A.
Kendall
,
T. H.
Dunning
,Jr.
, and
R. J.
Harrison
,
J. Chem. Phys.
96
,
6796
(
1992
);
D. E.
Woon
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
98
,
1358
(
1993
);
D. E.
Woon
and
T. H.
Dunning
, Jr.
,
J. Chem. Phys.
100
,
2975
(
1994
).
28.
P. C.
Hariharan
and
J. A.
Pople
,
Theor. Chim. Acta
28
,
213
(
1973
);
R.
Krishnan
,
J. S.
Binkley
,
R.
Seeger
, and
J. A.
Pople
,
J. Chem. Phys.
72
,
650
(
1980
);
M. M.
Francl
,
W. J.
Petro
,
W. J.
Hehre
,
J. S.
Binkley
,
M. S.
Gordon
,
D. J.
DeFrees
, and
J. A.
Pople
,
J. Chem. Phys.
77
,
3654
(
1982
);
T.
Clark
,
J.
Chandrasekhar
, and
P. v. R.
Schleyer
,
J. Comput. Chem.
4
,
294
(
1983
);
P. M. W.
Gill
,
B. G.
Johnson
,
J. A.
Pople
, and
M. J.
Frisch
,
Chem. Phys. Lett.
197
,
499
(
1992
).
29.
J. A.
Pople
,
M.
Head-Gordon
, and
K.
Raghavachari
,
J. Chem. Phys.
87
,
5968
(
1987
).
30.
H.
Koch
,
O.
Christiansen
,
P.
Jørgensen
,
A. M.
Sanchez de Merás
, and
T.
Helgaker
,
J. Chem. Phys.
106
,
1808
(
1997
).
31.
H.
Larsen
,
J.
Olsen
,
C.
Hättig
,
P.
Jørgensen
,
O.
Christiansen
, and
J.
Gauss
,
J. Chem. Phys.
111
,
1917
(
1997
).
32.
O.
Christiansen
,
J.
Gauss
, and
J. F.
Stanton
,
Chem. Phys. Lett.
292
,
437
(
1998
).
33.
J. M. L.
Martin
,
J.
El-Yazal
, and
J.-P.
François
,
J. Phys. Chem.
100
,
15358
(
1996
).
34.
S.
Grimme
and
M.
Parac
,
ChemPhysChem
3
,
292
(
2003
);
M.
Parac
and
S.
Grimme
,
Chem. Phys.
292
,
11
(
2003
).
35.
K. N.
Houk
,
P. S.
Lee
, and
M.
Nendel
,
J. Org. Chem.
66
,
5517
(
2001
).
36.
K. B.
Wiberg
,
J. Org. Chem.
62
,
5720
(
1997
).
37.
S. N.
Ketkar
,
M.
Kelley
,
M.
Fink
,
R. C.
Ivey
,
J. Mol. Struct.
77
,
127
(
1981
).
38.
R.
Campbell
and
J.
Robertson
,
Acta Crystallogr.
15
,
289
(
1962
).
39.
S.
Millefiori
and
A.
Alparone
,
J. Mol. Struct.: THEOCHEM
422
,
179
(
1998
).
40.
Z. G.
Soos
,
E. V.
Tsiper
, and
R. A.
Pascal
, Jr.
,
Chem. Phys. Lett.
342
,
652
(
2001
).
41.
G. L. D.
Ritchie
and
J. N.
Watson
,
Chem. Phys. Lett.
322
,
143
(
2000
).
42.
C. L.
Cheng
,
D. S. N.
Murthy
, and
G. L. D.
Ritchie
,
Aust. J. Chem.
25
,
1301
(
1972
).
43.
H. F.
Vuks
,
Opt. Spectrosc.
20
,
361
(
1966
).
44.
S.
Heitz
,
D.
Weidauer
,
B.
Rosenow
, and
A.
Hese
,
J. Chem. Phys.
96
,
976
(
1992
).
45.
R. J. W.
Le Fèvre
,
L.
Radom
, and
G. L. D.
Ritchie
,
J. Chem Soc. B
1968
,
775
.
46.
A.
Hinchcliffe
and
H. J. S.
Machado
,
Int. J. Mol. Sci.
1
,
8
(
2000
).
47.
H. G.
Kuball
and
R.
Gob
,
Z. Phys. Chem.
NF63
,
251
(
1969
).
48.
J. E.
Del Bene
,
J. D.
Watts
, and
R. J.
Bartlett
,
J. Chem. Phys.
106
,
6051
(
1997
).
49.
J. R.
Hammond
,
K.
Kowalski
, and
W. A.
deJong
(unpublished).
50.
O.
Christiansen
,
C.
Hättig
, and
J.
Gauss
,
J. Chem. Phys.
109
,
4745
(
1998
).
You do not currently have access to this content.