Gyromagnetic ratio electron

Sometimes called the gyromagnetic ratio. For a free electron = 2-003. 

The two techniques, ENDOR and ESE envelope modulation, supplement each other. ESE envelope modulation seems to be more sensitive in detecting nuclear transitions at very low frequencies but is limited in the frequency range by yeB , where ye denotes the gyromagnetic ratio of the electron and Bj the microwave pulse amplitude. ENDOR, whose sensitivity increases with frequency, suffers on the other hand from the small transition probability at low frequencies. 

Here, rodu is the effective distance between the gadolinium electronic spin and the water protons, ys (yi) is the electron (proton) gyromagnetic ratio and Tci is the correlation time, defined by... 

S is the sum of the spin quantum numbers, to which each electron contributes /2 and g is the gyromagnetic ratio, i. e. the ratio of the magnetic moment to the angular momentum. For a free electron, g = 2. 

In this equation, AEe is the approximated electronic excitation energy yc and yx are the gyromagnetic ratios of the coupled nuclei, 13C and X pp is the Bohr magneton, h the Planck constant. 

In Eqs. (7-11), fi is the nuclear gyromagnetic ratio, g is the electron g factor, fiB is the Bohr magneton, rGdH is the electron spin - proton distance, co, and cos are the nuclear and electron Larmor frequencies, respectively (co=yB, where B is the magnetic field), and A/fl is the hyperfine or scalar coupling constant between the electron of the paramagnetic center and the proton of the coordinated water. The correlation times that are characteristic of the relaxation processes are depicted as ... 

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