Abstract
We have applied the maximum entropy method (MEM) to the analysis of quasi-elastic laser scattering (QELS) spectra and have established a technique for determining capillary wave frequencies with a higher time resolution than that of the conventional procedure. Although the QELS method has an advantage in time resolution over mechanical methods, it requires the averaging of at least 20 - 100 power spectra for determining capillary wave frequencies. We find that the MEM analysis markedly improves the S/N ratio of the power spectra, and that averaging the spectra is not necessary for determining the capillary wave frequency, i.e., it can be estimated from one power spectrum. The time resolution of the QELS attains the theoretical limit by using MEM analysis.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Mingins, J. A. G. Taylor, B. A. Pethica, C. M. Jackson, and B. Y. T. Yue, J. Chem. Soc., Faraday Trans. 1, 1982, 78, 323.
K. Sakai, H. Tanaka, and K. Takagi, Jpn. J. Appl. Phys., 1990, 29, L2247.
B. B. Sauer, Y. L. Chen, G. Zografi, and H. Yu, Langmuir, 1988, 4, 111.
M. Sano, M. Kawaguchi, Y.-L. Chen, R. J. Skarlupka, T. Cheng, G. Zografi, and H. Yu, Rev. Sci. Instrum., 1986, 57, 1158.
S. Härd, Y. Hamnerius, and O. Nilsson, J. Appl. Phys., 1976, 47, 2433.
R. H. Katyl and U. Ingard, Phys. Rev. Lett., 1968, 20, 248.
H. Yui and T. Sawada, Bunseki Kagaku, 2005, 54, 427.
D. Byrne and J. C. Earnshaw, J. Colloid Interface Sci., 1980, 74, 467.
Y. Uchiyama, T. Kitamori, T. Sawada, and I. Tsuyumoto, Langmuir, 2000, 16, 6597.
Y. Uchiyama, M. Fujinami, T. Sawada, and I. Tsuyumoto, J. Phys. Chem. B, 2000, 104, 4699.
Y. Uchiyama, I. Tsuyumoto, T. Kitamori, and T. Sawada, J. Phys. Chem. B, 1999, 103, 4663.
Z. H. Zhang, I. Tsuyumoto, T. Kitamori, and T. Sawada, J. Phys. Chem. B, 1998, 102, 10284.
Z. H. Zhang, I. Tsuyumoto, S. Takahashi, T. Kitamori, and T. Sawada, J. Phys. Chem. A, 1997, 101, 4163.
I. Tsuyumoto and H. Uchikawa, Anal. Chem., 2001, 73, 2366.
J. P. Burg, in Proceedings of the 37th Meeting of the Society of Exploration Geophysicists, 1967 (reprinted in “Modern Spectrum Analysis”, ed. D. G. Childers, 1978, IEEE Press, New York, 34–39).
N. Ohtomo, S. Terachi, Y. Tanaka, K. Tokiwano, and N. Kaneko, Jpn. J. Appl. Phys., 1994, 33, 2821.
Y. He and L. Geng, Anal. Chem., 2001, 73, 5564.
M. A. Delsuc and T. E. Malliavin, Anal. Chem., 1998, 70, 2146.
Y. Sasanuma, R. V. Law, Y. Kobayashi, and K. Sasaki, Anal. Chem., 1997, 69, 794.
M. Sakata, R. Mori, S. Kumazawa, M. Takata, and H. Toraya, J. Appl. Crystallogr., 1990, 23, 526.
K. Sasaki, S. Kawata, and S. Minami, Appl. Opt., 1983, 22, 3599.
H. Akaike, Annals of the Institute of Statistical Mathematics, 1969, 21, 203.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tsuyumoto, I. Analysis of a Quasi-Elastic Laser Scattering Spectrum Using the Maximum Entropy Method. ANAL. SCI. 23, 1439–1442 (2007). https://doi.org/10.2116/analsci.23.1439
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.2116/analsci.23.1439