Factor magnetogyric, nuclear

Because J arises from the magnetic interactions of nuclei, the simplest factor affecting it is the product yjY of the two nuclear magnetogyric ratios involved. For example, in FI F is 82 FIz, i.e. x yo/yf - This totally predictable factor is sometimes discounted by quoting the reduced coupling constant =... 

In Eqs. (4)-(7) S is the electron spin quantum number, jh the proton nuclear magnetogyric ratio, g and p the electronic g factor and Bohr magneton, respectively. r//is the distance between the metal ion and the protons of the coordinated water molecules, (Oh and cos the proton and electron Larmor frequencies, respectively, and Xr is the reorientational correlation time. The longitudinal and transverse electron spin relaxation times, Tig and T2g, are frequency dependent according to Eqs. (6) and (7), and characterized by the correlation time of the modulation of the zero-field splitting (x ) and the mean-square zero-field-splitting energy (A. The limits and the approximations inherent to the equations above are discussed in detail in the previous two chapters. 

The terms pc and py correspond to 1/Tic and 1/Tih, respectively, and CTCH is the cross-relaxation rate. It should be stressed that the simplicity of the above equation is a consequence of the rareness of the I spins and of the dominant strength of the dipolar interaction between directly bonded nuclei. The situation for homonuclear proton spin systems is often more complicated, since the protons usually constitute a much larger spin system, and a separation into distinct two-spin systems may be not valid in this case. The broadband irradiation of the protons yields, in a steady state, Mhz = 0 and M z = Mj (1 rj). The factor 1 + 77 is called, as introduced above, the nuclear Overhauser enhancement factor. The NOE factor is related in a simple way to the equilibrium magnetizations of the I- and S-spins (which are proportional to the magnetogyric ratios 71 and 7s), the cross-relaxation rate and the relaxation rate of the I-spin ... 

Mk denotes the nuclear magnetic dipole moment operator, obtained by multiplication of the nuclear spin operator Ik by the magnetogyric factor iK-... 

Instead of using nuclear g factors, a magnetogyric ratio y is defined as the proportionality constant between the nuclear magnetic moment s z component and the Mj quantum number ... 

The relationship between the magnetogyric ratio and the nuclear g factor is... 

---