Magnetic point dipole formula

Often fliso is used to estimate the s-orbital spin population on the corresponding nucleus [9] (see, e.g., [10]). In Eq. (2) matrix T describes the anisotropic dipole-dipole coupling. The dominant contribution to dd, for nuclei other than protons, usually comes from the interaction of an electron spin in a p-, d-, or f-type orbital with the magnetic moment of the corresponding nucleus. By reference to suitable tables the dipole-dipole coupling can also be used to estimate the spin population in these orbitals [10]. For distances between the electron and nuclear spin greater than approximately 0.25 nm, the anisotropic part of the hyperfine interaction can be used to calculate the electron-nuclear distance and orientation with the electron-nuclear point-dipole formula ... 

Figure 3-4 illustrates how the diamagnetic effect of benzene is shielding (+) above and below the ring, but deshielding (—) around the edge. This effect was modeled quantitatively by McConnell as the influence of a magnetic dipole on the point in space at which a proton resides. He derived the formula... 

Integration in Eqn (10.2) is performed over V area occupied by the current sources. As (r, (p, z) one can mark cylindrical coordinates of a free point in space, and as (p,6,Q—cylindrical coordinates of a point that belongs to V area. The magnetic induction vector is determined from the equality B = rotA.. Magnetic carriers (separate nanoparticles or their aggregates) can be considered as magnetic dipoles. In general, the dipole is influenced by the force F and mechanical moment M which are defined by the known formulas ... 

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