A geometrical probability measure is proposed for calculating the effective conduction electron mean free path of an arbitrary shape convex particle. It is shown that the plasmon widths determined from this mean free path are consistent with exact quantum mechanical widths for simple particle shapes. We use the mean free path formula to evaluate size and shape dependent dielectric functions and extinction spectra for silver spheroids, square prisms, truncated tetrahedrons, and cylinders.
REFERENCES
1.
R. P.
Van Duyne
, J. C.
Hulteen
, and D. A.
Treichel
, J. Chem. Phys.
99
, 2101
(1993
).2.
3.
4.
G. L.
Hornyak
, C. J.
Patrissi
, C. R.
Martin
, J. C.
Valmalette
, J.
Dutta
, and H.
Hofman
, Nanostruct. Mater.
9
, 575
(1997
).5.
6.
C. P.
Collier
, R. J.
Saykally
, J. J.
Shiang
, S. E.
Hemrichs
, and J. R.
Heath
, Opt. Lett.
277
, 1978
(1997
).7.
Y. Y.
Yu
, S. S.
Chang
, C. L.
Lee
, and C. R. C.
Wang
, J. Phys. Chem. B
101
, 6661
(1997
).8.
J. M.
Petroski
, Z. L.
Wang
, T. C.
Green
, and M. A.
El-Sayed
, J. Phys. Chem. B
102
, 3316
(1998
).9.
S. J.
Oldenburg
, R. D.
Averitt
, S. L.
Westcost
, and N. J.
Halas
, Chem. Phys. Lett.
288
, 243
(1998
).10.
R.
Jin
, C. A.
Mirkin
, K. L.
Kelly
, G. C.
Schatz
, and J. G.
Zheng
, Science
294
, 1901
(2001
).11.
A. M.
Michaels
, M.
Nirmal
, and L. E.
Brus
, J. Am. Chem. Soc.
121
, 932
(1999
).12.
W.
Gotschy
, K.
Vonmentz
, A.
Leitner
, and F. R.
Aussenegg
, Opt. Lett.
21
, 1099
(1996
).13.
W.
Gotschy
, K.
Vonmentz
, A.
Leitner
, and F. R.
Aussenegg
, Appl. Phys. B: Lasers Opt.
63
, 381
(1996
).14.
M.
Salermo
, N.
Felidj
, J. R.
Krenn
, A.
Leitner
, and F. R.
Aussenegg
, Phys. Rev. B
63
, 165422
(2001
).15.
T.
Jensen
, L.
Kelly
, A. A.
Lazarides
, and G. C.
Schatz
, J. Cluster Sci.
10
, 295
(1999
).16.
T. R.
Jensen
, M. L.
Duval
, K. L.
Kelly
, A. A.
Lazarides
, and G. C.
Schatz
, J. Phys. Chem. B
103
, 9846
(1999
).17.
M. D.
Malinsky
, K. L.
Kelly
, G. C.
Schatz
, and R. P.
Van Duyne
, J. Am. Chem. Soc.
123
, 1471
(2001
).18.
K. L. Kelly, T. R. Jensen, A. A. Lazarides, and G. C. Schatz, in Metal Nanoparticles: Synthesis, Characterization and Applications, edited by D. Felheim and C. Foss (Dekker, New York, 2002), p. 89.
19.
R. G.
Freeman
, K. C.
Garbar
, K. J.
Allison
et al., Science
267
, 1629
(1995
).20.
T.
Klar
, M.
Perner
, S.
Grosse
, G.
von Plessen
, W.
Spirkl
, and J.
Feldmann
, Phys. Rev. Lett.
80
, 4249
(1998
).21.
J. J.
Mock
, M.
Barbic
, D. R.
Smith
, D. A.
Schultz
, and S.
Schultz
, J. Chem. Phys.
116
, 6755
(2002
).22.
23.
24.
25.
T. R.
Jensen
, G. C.
Schatz
, and R. P.
Van Duyne
, J. Phys. Chem. B
103
, 2394
(1999
).26.
T. Wriedt, in Generalized Multipoles Techniques for Electromagnetics and Light Scattering (Elsevier, Amsterdam, 1999).
27.
M.
Quinten
, A.
Pack
, and R.
Wannenmacher
, Appl. Phys. B: Lasers Opt.
68
, 87
(1999
).28.
29.
J. P.
Kottman
, O. J. F.
Martin
, D. R.
Smith
, and S.
Schultz
, Opt. Express
6
, 213
(2000
).30.
J. P.
Kottman
and O. J. F.
Martin
, IEEE Trans. Antennas Propag.
48
, 1719
(2000
).31.
Ch. Hafner, in The Generalized Multipole Technique for Computation Electromagnetics (Artech House, Boston, 1990).
32.
Ch. Hafner, in Post Modern Electromagnetics: Using Intelligent Maxwell Solvers (Wiley, Chichester, UK, 1999).
33.
M. Vollmer and U. Kreibig, in Optical Properties of Metal Clusters (Springer, Berlin, 1999).
34.
35.
36.
37.
38.
39.
40.
F. Bassani and G. Pastori Parravicini, in Electronic States and Optical Transitions in Solids (Pergamon, New York, 1975).
41.
L. A. Santalo, in Integral Geometry and Geometric Probability (Addison-Wesley, Reading, MA, 1976).
42.
43.
44.
45.
46.
47.
48.
49.
50.
E. D. Palik, in Handbook of Optical Properties of Solids (Academic, New York, 1985).
51.
B. T. Draine and P. J. Flatau, Program DDSCAT, University of California, San Diego, Scripps Institute of Oceanography, 8605 La Jolla Dr., CA 92093-0221.
52.
C. F. Bohren and D. R. Huffman, in Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
53.
54.
This content is only available via PDF.
© 2003 American Institute of Physics.
2003
American Institute of Physics
You do not currently have access to this content.
