Abstract
The atomic force microscopy images representing the surface morphology of the nanostructured gold thin films of thickness of 20, 50 and 200 nm, respectively, were investigated using the multifractal analysis. The interface width and growth exponent corresponding to films of different thicknesses were estimated. The surfaces having greater roughness give rise to larger nonlinearity and wider width of the multifractal spectrum. The statistical tests confirm that the gold thin film surfaces under investigation are multifractal in nature.
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References
S. Link, M.A. El-Sayed, Spectral properties and relaxation dynamics of surface plasmon electronic oscillations in gold and silver nanodots and nanorods. J. Phys. Chem. B 103, 8410–8426 (1999)
E.M. Fernandez, J.M. Soler, I.L. Garzon, L.C. Balbas, Trends in the structure and bonding of noble metal clusters. Phys. Rev. B 70, 165403 (2004)
D.M. Kolb, Electrochemical surface science. Angew. Chem. Int. Edn. 40, 1162–1181 (2001)
A. Dawson, P.V. Kamat, Semiconductor-metal nanocomposites photoinduced fusion and photocatalysis of gold-capped TiO2 (TiO2/Gold) nanoparticles. J. Phys. Chem. B 105, 960–966 (2001)
K. Kneipp, Y. Wang, H. Kneipp, L.T. Perelman, I. Itzkan, R. Dasari, M.S. Feld, Single molecule detection using surface-enhanced raman scattering (SERS) phys. Rev. Lett. 78, 1667–1670 (1997)
X. Yu, Z.Q. Wang, Y.G. Jiang, F. Shi, X. Zhang, Reversible pH-Responsive surface: from superhydrophobicity to superhydrophilicity. Adv. Mater. 17, 1289–1293 (2005)
M. Haruta, Size- and support-dependency in the catalysis of gold. Catal. Today 36, 153–166 (1997)
J.F. Hainfeld, F.A. Dilmanian, D.N. Slatkin, H.M. Smilowitz, Radiotherapy enhancement with gold nanoparticles. J. Pharm. Pharmacol. 60, 977–985 (2008)
C.A. Mirkin, R.L. Letsinger, R.C. Mucic, J.J. Storhoff, ADNA-based method for rationally assembling nanoparticles into macroscopic materials. Nature 382, 607–609 (1996)
M. Bechelany, P. Brodard, J. Elias, A. Brioude, J. Michler, L. Philippe, Simple synthetic route for SERS-active gold nanoparticles substrate with controlled shape and organization. Langmuir 26, 14364–14371 (2010)
J. Elias, M. Gizowska, P. Brodard, R. Widmer, Y. Dehazan, T. Graule, J. Michler, L. Philippe, Electrodeposition of gold thin films with controlled morphologies and their applications in electrocatalysis and SERS. Nanotechnology 23, 255705 (2012)
H. You, R.P. Chiarello, H.K. Kim, K.Q. Vandervoort, X-Ray reflectivity and scanning-tunneling-microscope study of kinetic roughening of sputter-deposited gold films during growth. Phys. Rev. Lett. 70, 2900–2903 (1993)
F. Ruffino, M.G. Grimaldi, F. Giannazzo, F. Roccaforte, V. Raineri, Atomic force microscopy study of the kinetic roughening in nanostructured gold films on SiO2. Nanoscale Res. Lett. 4, 262–268 (2009)
F. Ruffino, V. Torrisi, G. Marletta, M.G. Grimaldi, Atomic force microscopy investigation of the kinetic growth mechanisms of sputtered nanostructured Au film on mica: towards nanoscale morphology control. Nanoscale Res. Lett. 6, 112 (2011)
F. Ruffino, A. Irrera, R. De Bastiani, M.G. Grimaldi, Room-temperature grain growth in sputtered nanoscale Pd thin films: dynamic scaling behavior on SiO2. J. Appl. Phys. 106, 084309 (2009)
F. Ruffino, V. Torrisi, G. Marletta, M.G. Grimaldi, Kinetic growth mechanisms of sputter-deposited Au films on mica: from nanoclusters to nanostructured microclusters. Appl. Phys. A 100, 7–13 (2010)
F. Ruffino, M.G. Grimaldi, Atomic force microscopy study of the growth mechanisms of nanostructured sputtered Au film on Si (111): evolution with film thickness and annealing time. J. Appl. Phys. 107, 104321 (2010)
O. Akhavan, AFM spectral analysis of self-agglomerated metallic nanoparticles on silica thin films. Curr. Nanosci. 6, 116–123 (2010)
T. Karabacak, Y.-P. Zhao, G.C. Wang, T.M. Lu, Growth-front roughening in amorphous silicon films by sputtering. Phys. Rev. B 64, 085323 (2001)
M.E.R. Dotto, S.S. Camargo Jr, Scaling law analysis of paraffin thin films on different surfaces. J. Appl. Phys. 107, 014911 (2010)
A.Y. Gil, J. Cotino, A.W. Pietrzykowska, A.R.G. Elipe, Scaling behavior and mechanism of formation of SiO2 thin films grown by plasma-enhanced chemical vapor deposition. Phys. Rev. B 76, 075314 (2007)
S. Yim, T.S. Jones, Anomalous scaling behavior and surface roughening in molecular thin-film deposition. Phys. Rev. B 73, 161305(R) (2006)
R.P. Yadav, S. Dwivedi, A.K. Mittal, M. Kumar, A.C. Pandey, Fractal and multifractal analysis of LiF thin film surface. Appl. Surf. Sci. 261, 547–553 (2012)
G.-F. Gu, W.-X. Zhou, Detrended fluctuation analysis for fractals and multifractals in higher dimensions. Phys. Rev. E 74, 061104 (2006)
C. Liu, X.-L. Jiang, T. Liu, L. Zhao, W.-X. Zhou, K. Yuan, Multifractal analysis of the fracture surfaces of foamed polypropylene/polyethylene blends. Appl. Surf. Sci. 255, 4239–4245 (2009)
J.W. Kantelhardt, S.A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, H.E. Stanley, Multifractal detrended fluctuation analysis of nonstationary time series. Phys. A 316, 87–114 (2002)
T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, B.I. Shraiman, Fractal measures and their singularities: the characterization of strange sets. Phys. Rev. A 33, 1141–1151 (1986)
Z. Moktadir, M. Kraft, H. Wensink, Multifractal properties of pyrex and silicon surfaces blasted with sharp particles. Phys. A 387, 2083–2090 (2008)
Z. Yu, L. Yee, Y.Z. Guo, Relationships of exponents in multifractal detrended fluctuation analysis and conventional multifractal analysis. Chin. Phys. B 20, 090507 (2011)
X.Y. Qian, G.F. Gu, W.X. Zhou, Modified detrended fluctuation analysis based on empirical mode decomposition for the characterization of anti-persistent processes. Phys. A 390, 4388–4395 (2011)
M.R. Niu, W.X. Zhou, Z.Y. Yan, Q.H. Guo, Q.F. Liang, F.C. Wang, Z.H. Yu, Multifractal detrended fluctuation analysis of combustion flames in four-burner im**ing entrained-flow gasifier. Chem. Eng. J. 143, 230–235 (2008)
Z.-Q. Jiang, W.-X. Zhou, Multifractality in stock indexes: fact or fiction? Phys. A 387, 3605–3614 (2008)
Z.-Q. Jiang, W.-X. Zhou, Multifractal analysis of Chinese stock volatilities based on the partition function approach. Phys. A 387, 4881–4888 (2008)
C. Thompson, G. Palasantzas, Y.P. Feng, S.K. Sinha, J. Krim, X-ray-reflectivity study of the growth kinetics of vapor-deposited silver films. Phys. Rev. B 49, 4902 (1994)
J. Chevrier, V.L. Thanh, R. Buys, J. Derrien, A RHEED study of epitaxial growth of iron on a silicon surface: experimental evidence for kinetic roughening. Europhys. Lett. 16, 737 (1991)
H.J. Ernst, F. Fabre, R. Folkerts, J. Lapujoulade, Observation of growth instability during low temperature molecular beam epitaxy. Phys. Rev. Lett. 72, 112–115 (1994)
E. Rodrıguez-Canas, J.A. Aznarez, A.I. Oliva, J.L. Sacedon, Relationship between the surface morphology and the height distribution curve in thermal evaporated Au thin films. Surf. Sci. 600, 3110–3120 (2006)
G. Palasantzas, J. Krim, Scanning tunneling microscopy study of the thick film limit of kinetic roughening. Phys. Rev. Lett. 73, 3564–3567 (1994)
W. Wang, A. Li, X. Zhang, Y. Yin, Multifractality analysis of crack images from indirect thermal drying of thin-film dewatered sludge. Phys. A 390, 2678–2685 (2011)
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RPY is thankful to the CSIR-UGC for providing financial support in the form of senior research fellowship.
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Yadav, R.P., Singh, U.B., Mittal, A.K. et al. Investigating the nanostructured gold thin films using the multifractal analysis. Appl. Phys. A 117, 2159–2166 (2014). https://doi.org/10.1007/s00339-014-8636-4
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DOI: https://doi.org/10.1007/s00339-014-8636-4