By Anderson, Muriel; Scott, Jim
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Concentration ef fects may also be of great interest; when the concentration becomes suffi ciently high that the chains of different polymers becomes entangled, the dynamics become very sensitive to the degree of entanglement. The study of polymer segment dynamics through the use of QELS is a rapidly growing field of interest, but the great majority of QELS applications are in the study of synthetic polymers in the field of polymer physical chemistry. The pri mary biological system studied by this approach is the nucleic acid family.
The shot noise in the measured autocorrelation function is present as a δ function at zero time, since it is uncorrelated at all other time intervals. The exponent in C(K, τ)7 is 2Γ because of the square term in Eq. (75); this is the same factor of 2 by which the Lorentzian half-width of the frequency spectrum increases in a homodyne experiment. As in the case of frequency detection, the simple relationship represented by Eq. (75) is not valid when the scattered beam does not obey Gaussian statistics.
LIGHT SCATTERING times longer than a real-time-efficient process, where N is the number of resolution elements (500 in our example). An equivalent statement is that a real-time process will produce a signal-to-random-noise ratio that is N112 times greater than the single-step process operating for the same time. Commercial autocorrelators and spectrum analyzers compute the respective C(T) and S(v) numerically for a given number N of resolution elements [points of C(T) or S(v)]. The reciprocal of the time required for a 2iV-point C(T) or TV-point S( v) computation is the upper limit of the frequency range in which real-time efficiency can be achieved.