Nuclear magnetogyric ratio

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. 

Indeed, paramagnetic broadening is proportional to the square of the nuclear magnetogyric ratio y. Therefore, the inverse detection of heteronucleus (i.e. the transfer of magnetization from the X nucleus to the proton followed by proton detection) may prevent the observation of X signal because of proton 72 relaxation. In fact, the relative values of y for H, 13C and, 5N nuclei are 1 1/4 1/10, and thus the relative contribution to overall relaxation arising from the hyperfine interaction is 1 1/16 1/100, respectively. Therefore, to identify... 

Here yN is the nuclear magnetogyric ratio, gN is the nuclear gyromagnetic ratio, and fa is the nuclear magneton ... 

Whereas JAB involves the nuclear magnetogyric ratios, the reduced coupling constant KAB represents only the electronic contribution and is thus approximately isotope independent and may exhibit chemical trends. 

The desire of physicists to measure precisely nuclear magnetogyric ratios was, as we have seen, one of the impelling... 

Ti[ = transverse relaxation time of free state 13 = Bohr magneton Vn = nuclear magnetogyric ratio 5 = induced shift... 

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