Correlation function analysis

The First-Zero Method of Correlation Function Analysis. For the purpose of a practical graphical evaluation of the linear crystallinity, Eq. (8.67) can be applied to a renormalized correlation function y (x/Lapp). The method which has been proposed by Goderis et al. [162] is based on the implicit assumption that the first zero, Jto, of the real correlation function is shifted by the same factor as is the position of its first maximum, Lapp. 

Rotational State Change of Acetonitrile Vapor on MCM-41 upon Capillary Condensation with the aid of Time-Correlation Function Analysis of IR Spectroscopy... 

The change of the position of the particles affects the phases and thus the fine structure of the diffraction pattern. So the intensity in a certain point of the diffraction pattern fluctuates with time. The fluctuations can be analyzed in the time domain by a correlation function analysis or in the frequency domain by frequency analysis. Both methods are linked by Fourier transformation. 

Wu, D.Q. Chu, B. Lundberg, R.D. MacKnight, W.J. Small-angle X-ray scattering (SAXS) studies of sulfonated polystyrene ionomers. 2. Correlation function analysis. Macromolecules 1993, 26, 1000. 

Lu, C.Y., van den Bout, D.A. Effect of fmite trajectory length on the correlation function analysis of single molecule data. J. Chem. Phys. 2006,125,1247-51. 

Spectral diffusion trajectories due to spontaneous (rather than light-induced) fluctuations have been measured for Tr in PE [14] and for TBT in PIB [15,16]. As in the crystalline case these trajectories reflect dynamics of the slow TLSs. The three published trajectories show that in two cases the chromophore visits a large number of frequencies, and in one case, only four. In this latter case the chromophore is presumably strongly coupled to two TLSs. A correlation function analysis was applied to the PIB system, but for neither the PIB nor the PE system was a temperature-dependent study reported. 

Figure 6. Morphological variables Q, L, 1 and l of (a) S2 and (b) S3 determined by the correlation function analysis of SAXS data...

NOTE Dqb. Grain size from quasi-Bragg analysis in which qMAx=27t/Dgj D(-f Grain size from correlation function analysis. See reference 21. ... 

A characteristic correlation time of the intensity fluctuation obtained by time correlation function analysis was about 150 min. In the case of the cubic lattice from a lamellar phase the... 

Hocking U, Lucas GJ, Datoszewska A et al. (2004) Novel UBA domain mutations of SQSTMl in Paget s disease of bone genotype phenotype correlation, functional analysis, and structural consequences. J Bone Miner Res 19(7), 1122-1127. 

A quantitative analysis of the lamellar structure can be made by using the correlation function analysis [7,8]. Performing the Fourier transformation on the observed SAXS data in Figure 11.2, the one-dimensional electron density correlation function y(r) can be calculated [7],... 

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