A quantum mechanical theory of the rate of excitation energy transfer from a fluorescent dye molecule to the surface plasmonic modes of a spherical metal nanoparticle is presented. The theory predicts the distance dependence of the transfer rate to vary as 1dσ, with σ=34 at intermediate distances, in partial agreement with the recent experimental results. Förster’s 1d6 dependence is recovered at large separations. The predicted rate exhibits nontrivial nanoparticle size dependence, ultimately going over to an asymptotic, a3 size dependence. Unlike in conventional fluorescence resonance energy transfer, the orientational factor is found to vary between 1 and 4.

1.
D. A.
Stuart
,
A. J.
Haes
,
C. R.
Yonzon
,
E. M.
Hicks
, and
R. P.
Van Duyne
,
IEE Proc Nanobiotechnol
152
,
13
(
2005
).
2.
L.
Stryer
,
Science
162
,
526
(
1968
).
3.
A. A.
Deniz
,
T. A.
Laurence
,
G. S.
Beligere
,
M.
Dahan
,
A. B.
Martin
,
D. S.
Chemla
,
P. E.
Dawson
,
P. G.
Schultz
, and
S.
Weiss
,
Proc. Natl. Acad. Sci. U.S.A.
97
,
5179
(
2000
).
4.
E. A.
Lipman
,
B.
Schuler
,
O.
Bakajin
, and
W. A.
Eaton
,
Science
301
,
1233
(
2003
).
5.
T. A.
Laurence
,
X.
Kong
,
M.
Jäger
, and
S.
Weiss
,
Proc. Natl. Acad. Sci. U.S.A.
102
,
17348
(
2005
).
6.
B.
Schuler
,
E. A.
Lipman
, and
W. A.
Eaton
,
Nature (London)
419
,
743
(
2002
).
7.
D.
Hu
,
J.
Yu
, and
P. F.
Barbara
,
J. Am. Chem. Soc.
121
,
6936
(
1999
).
9.
Th.
Förster
, in
Modern Quantum Chemistry, Istanbul Lectures, Part III: Action of Light and Organic Crystals
, edited by
O.
Sinanoglu
(
Academic
, New York,
1965
).
10.
K. F.
Wong
,
B.
Bagchi
, and
P. J.
Rossky
,
J. Phys. Chem. A
108
,
5752
(
2004
).
11.
J. R.
Lakowicz
,
Principles of Fluorescence Spectroscopy
(
Kluwer Academic
, Plenum, New York,
1999
).
12.
C.
Sönnichsen
,
B. M.
Reinhard
,
J.
Liphardt
, and
A. P.
Alivisatos
,
Nat. Biotechnol.
23
,
741
(
2005
).
13.
U.
Kreibig
and
M.
Vollmer
,
Optical Properties of Metal Clusters
(
Springer
, Berlin,
1995
).
14.
C. F.
Bohren
and
D. R.
Huffman
,
Absorption and Scattering of Light by Small Particles
(
Wiley
, New York,
1983
).
15.
R. R.
Chance
,
A.
Prock
, and
R.
Silbey
,
Adv. Chem. Phys.
37
,
1
(
1978
).
16.
W. H.
Weber
and
C. F.
Eagen
,
Opt. Lett.
4
,
236
(
1979
).
17.
J.
Gersten
and
A.
Nitzan
,
J. Chem. Phys.
75
,
1139
(
1981
).
18.
B. N. J.
Persson
and
N. D.
Lang
,
Phys. Rev. B
26
,
5409
(
1982
).
19.
R.
Ruppin
,
J. Chem. Phys.
76
,
1681
(
1982
).
20.
A. P.
Alivisatos
,
D. H.
Waldeck
, and
C. B.
Harris
,
J. Chem. Phys.
82
,
541
(
1985
).
21.
E.
Dulkeith
,
A. C.
Morteani
,
T.
Niedereichholz
,
T. A.
Klar
,
J.
Feldmann
,
S. A.
Levi
,
F. C. J. M.
van Veggel
,
D. N.
Reinhoudt
,
M.
Möller
, and
D. I.
Gittins
,
Phys. Rev. Lett.
89
,
203002
(
2002
).
22.
C. S.
Yun
,
A.
Javier
,
T.
Jennings
,
M.
Fisher
,
S.
Hira
,
S.
Peterson
,
B.
Hopkins
,
N. O.
Reich
, and
G. F.
Strouse
,
J. Am. Chem. Soc.
127
,
3115
(
2005
).
23.
G.
Mie
,
Ann. Phys.
25
,
329
(
1908
).
24.
N.
Barberan
and
J.
Bausells
,
Phys. Rev. B
31
,
6354
(
1985
).
25.
R. H.
Ritchie
and
R. E.
Wilems
,
Phys. Rev.
178
,
372
(
1969
).
26.
J.
Crowell
and
R. H.
Ritchie
,
Phys. Rev.
172
,
436
(
1968
).
27.
C.
Kittel
,
Introduction to Solid State Physics
(
Wiley & Sons, Inc.
: Seventh Edition).
28.
E.
Prodan
,
P.
Nordlander
, and
N. J.
Halas
,
Nano Lett.
3
,
1411
(
2003
).
29.
S. L.
Logunov
,
T. S.
Ahmadi
,
M. A.
El-Sayed
,
J. T.
Khoury
, and
R. L.
Whetten
,
J. Phys. Chem. B
101
,
3713
(
1997
).
You do not currently have access to this content.