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Chemical Oscillation, Chaos And Nonlinear Analysis

Posted on:2008-09-15Degree:DoctorType:Dissertation
Country:ChinaCandidate:D Y LvFull Text:PDF
GTID:1101360215469024Subject:Analytical Chemistry
Abstract/Summary:PDF Full Text Request
This paper consists of five parts.In the first part, the review provides a brife introduction of chemical oscillation reaction and its applications. The theory of chaos and the technology of nonlinear dynamic analysis used in chaos time series are described in detail, and the progress is summarized. Meanwhile, the future is prospected.In the second part, several coexistent oscillating motions are obtained in Mn(II)-catalyzed system in batch reactor, whitout changing initial conditions of the system. In order to observe the nonlinearity of the time series, both power spectrum analysis and phase space reconstruction method are introuduced. Then the embedding dimension, correlation dimension and the largest Lyapunov exponent of the time series are calculated. Results show that the chaos is caused by the irregular thermodynamic action of system, and the phase space reconstruction method can be used for analyzing and proving the characteristics of chaos effectively.In the third part, we observed a transition from a aperiodic to an periodic state based on the different speed of stirring rate in Cu(I)-catalyzed oscillation in a closed system. The bifurcation graph shows an invese bifurcation. The time series was investigated by the power spectrum and the phase space reconstruction. Results show that the time series has characteristics of chaos at low-speed stirring rate. Also, high-speed stirring rate leads to a decrease in the positive values of the largest Lyapunov exponent and correlation dimension.In fourth part, a convenient and sensitive method for determination of sulfanilamide (SNA) is described based on the Mn(II)-catalyzed oscillating chemical reaction. Under optimum conditions, a linear relationship is existed between the change of oscillating period or amplitude and the negative of logarithm of SNA concentration in the range of 4.27×10-8mol·L-1~7.41×10-6mol·L-1 (RSD, 0.85%) and 9.33×10-8mol·L-1~3.02×10-6mol·L-1(RSD, 1.08%), respectively. The lower limit of determination is found to be 2.69×10-8mol·L-1 and 6.03×10-8mol·L-1, respectively.In the last part, a direct and convenient procedure used oscillating chemical system as an analytical tool to determine the L-aspartic acid (L-Asp) is proposed. The system involves the Cu(II)-catalyzed reaction between hydrogen peroxide and sodium thiocyanate in an alkaline medium. The method relies on the linear relationship between the changes in the oscillation period and the logarithm of concentration of L-aspartic acid. Optimized analytical conditions are further validated in terms of accuracy, precision and the results showed reliability of the method. Under optimum conditions, the calibration plot is linear over the range from 1.17×10-5 mol·L-1 to 7.10×10-8 mol·L-1, with the corresponding regression coefficient are 0.9990 (RSD, 2.75%). A lower limit of determination is found to be 5.58×10-5 mol·L-1. The method is applied to analysis of L-aspartic acid in a pharmaceutical formulation. Additionally, the HPLC technique is also used to confirm the detection results.
Keywords/Search Tags:Oscillation,
PDF Full Text Request
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