Autocorrelation triangle

Figure 18 Various time autocorrelation functions. The curve with the triangles is for X = Usa, the circles are for X = Uji with = 2.15 x 10, and the squares represent X = p. C is the appropriate normalization constant, and x is the fundamental unit of time.

The values of L, Zc and have been evaluated either from the main-correlati(Mi triangle in the autocorrelation function (Fig. 11.3b) or with use of the Bragg law, that is L = 2 r/<3peak> and l = L — lc where is the crystallinity index... 

Figure 3.42 presents, for several delay times, snapshots of the wave packet propagation represented by the autocorrelation function. After a vertical X—transition the wave packet, generated on the B state surface at one of its three local minima, starts propagating. After 1.5 ps the wave packet is localized at the three equivalent saddle points of the PES, corresponding to a minimum of the ion yield in the real-time spectrum. The saddle point can be identified with the acute isosceles triangle geometry (see Fig. 3.43). For a delay time of 3ps the wave packet is found concentrated at the three equivalent minima of the B state surface. This is the situation where...

The height of the self-correlation triangle, representing fee maximum overlap area in the autocorrelation, is ... 

Figure 21. Square root of the autocorrelation function in the nematic phase of 8CB in a silica gel [219] for different temperatures 40 C (squares), 38 °C (circles) and 36 °C (triangles).

Fig. 11 The time scales of transport parameters in material systems of different regioregularity, estimated via the time autocorrelation function of transfer integrals (blue circles), site energies (red squares) and the tail distribution of escape times (black triangles). Adapted with permission from Poelking et al. [13]. Copyright (2013) American Chemical Society...

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