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Thesis Title: Subtitle - NMR Spectroscopy Research Group

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22 Chapter 1. Introduction.<br />

(ii) It could displace the position of the paramagnetic center with respect to the protein<br />

frame. The amplitude of those movements depends on the size and rigidity of the tag<br />

used. Small displacements have mostly small impact on the value of the PCS<br />

because PCSs are usually observable only more than ten Angstroms from the<br />

lanthanide. To assess this principle further, the comparison between a static metal<br />

ion and a mobile one following a realistic trajectory is illustrated in Figure 1.16.<br />

Figure 1.16 Effect of the mobility of the tag on the PCS. (a) Twelve tensors are being used to<br />

represent a realistic trajectory of the tag. They have random orientation, random axial and<br />

rhombic values, and are located three Angstroms away from the anchor point (black dot). The<br />

range of angles covers 110 degrees, in steps of 10 degrees. (b) The isosurfaces resulting from the<br />

ensemble of tensors in (a). The red surface represents the isolevel of 5.0 ppm, the blue one<br />

corresponds to -5.0 ppm. The shapes are distorted compared to the typical shape of an isosurface<br />

shown in Figure 1.12. (c) PCSs cannot be measured closer than 10 Angstroms from the<br />

paramagnetic center. The cutoff area is shown in grey. (d) Surfaces of isolevel 1.0 ppm and -1.0<br />

ppm are shown superimposed to (b). They exhibit a classical profile as seen in Figure 1.12. (e)<br />

The cutoff of 10 Angstroms is superimposed on figure (d).

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