The time dependence of the magnetization vector, M(t), is thus related to the cross-product of M and B. Keep in mind also that the magnetic field can be time-dependent. We have replaced B0 by B to indicate that the magnetic field can consist [Pg.4]

The time dependence of the magnetization for the proton systems in a hydrated protein may be described heuristically by two coupled equations containing three relaxation rates R- , the longitudinal relaxation rate for the water in the absence of the protein proton interaction R]p, the longitudinal relaxation rate for protein protons in the absence of a relaxation path provided by water protons and Rt, a rate of magnetization transfer between the two spin systems. The equations then become [Pg.149]

The time dependence of the magnetization is then calculated by solving the equation of motion for the density matrix a to the second order in The results are [Pg.383]

The most common experimental approach to study the magnetization reversal is to measure the time dependence of the magnetization (or Kerr rotation angle) near the coercivity field. We summarize here the results of such measurements for Tb/Fe and Dy/Fe and discuss a newly developed model proposed by Kirby et al. (1994). [Pg.125]

In principle, the time dependence of the magnetic interactions responsible for the relaxation processes can be exploited to investigate dynamic processes as the chemical exchange of ligands in coordination complexes. [Pg.362]

Influence of the switching times Provided that the time dependence of the magnetic flux density [Pg.838]

Figure 1-15 Time dependence of the magnetization M following a 90° pulse. |

As is evident from eqns (23), the time-dependencies of the magnetizations of I and S spins are rather conplicated because they are mutually correlated even if the conjugated differential equations (23) can be generally solved. [Pg.195]

Looking at eq. (1.21), it is seen that the time dependence of the magnetization vector M results from two contributions. One is the partial time derivate of M in the rotating coordinate system [Pg.9]

By multiplying eq. (1.18) with the gyromagnetic ratio y one obtains the time dependence of the magnetic moment ft, remembering that fi = yp [Pg.9]

First of all, one can introduce relaxation phenomenologically by amending the equation describing the time-dependence of the magnetization vector [Eq. (1.2)] by a decaying term [Pg.40]

For both NMR and EPR, the phenomenological Bloch equations [47] can be used to track the time-dependence of the magnetization of the sample M in the total field H [Pg.712]

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