Effect transverse

Each component of transverse magnetization, i.e. every kind of nucleus with individual chemical shift, will be characterized by its Larrnor frequency, its phase shift relative to the rotating frame (Fig. 2.9 (a-d)), and its lifetime defined by the effective transverse relax-... 

Effective transverse 0.22mo 0.25mo 0.42mo 0.42mo 0.20mo 0.36mo 0.24mo... 

Here T2 is the effective transverse relaxation time, and the Larmor frequency wl is taken to be time dependent in order to account for effects of slow molecular motion as well as for the effects of time-dependent magnetic field gradients. The initial magnetization before the 90° excitation pulse at f = 0 is taken to be Mz which can be different from the thermodynamic equilibrium value Mo as a result of incomplete relaxation or the use of a filter for longitudinal magnetization. 

A so-called spin-lock effect manifests itself in a dependence of the effective transverse relaxation time Tie on the echo time tn of the multi-echo sequence [Gut3]. 

Increasing the flow rate decreases the effective longitudinal relaxation time, which allows shorter repetition delays Ir. However, at the same time the effective transverse relaxation rate increases, leading to line broadening. 

Figure 12 Fitted parameters of the molecular model (a, b) Effective transverse intensity (a) and ratio of transverse frequency factors (b) solid curves refer to optimization o dielectric and dashed lines of Raman spectra, (c) Lifetimes of the hat potential, of transverse vibration, and of elastic vibration (from top to bottom), (d) form factor of the hat potential.(e) contributions of transverse (dashed line) and of elastic (solid line) vibrations to the static permittivity, (f) total vibration contribution to the static permittivity.

In liquid crystals the proton resonance line width and the related effective transverse spin relaxation time T2 depend on the angle 9 between the magnetic field and the director n, which is described approximately... 

When the electric field is applied perpendicular to the fiber direction, a suspension of fibers is similar to the suspension of cells described above (in Figure 21. la, we must now imagine that the circles represent cross sections of cylindrical fibers, rather than spherical cells). The expression for the effective transverse conductivity of a suspension of cylindrical cells, of radius a and intracellular conductivity cr , placed in a solution of conductivity a, with intracellular volume fraction/, is [Cole, 1968]... 

Ea =effective transverse modulus of the adhesive v=Poisson s ratio of the outer adherend. 

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