The matrix of the transformation that will eliminate the Larmor term of (13) depends on the sign of the

gyromagnetic ratio. For both cases we can write the matrix as

On the other hand, nonlinear electrodynamics coupled to gravity and satisfying the weak energy condition (nonnegative density as measured along any timelike curve) predicts, for an arbitrary gauge invariant lagrangian, the existence of a spinning charged soliton (a regular finite-energy solution of the nonlinear field equations, localized in the confined region and holding itself together by its own self-interaction) asymptotically Kerr-Newman for a distant observer with the

gyromagnetic ratio g = 2 [69].

Also, application of [sup.15]N NMR spectroscopy to SOM studies may be difficult because of the extremely low natural abundance of [sup.15]N (about 0.366%) and a small

gyromagnetic ratio. Thus, sensitivity of a [sup.15]N NMR experiment without sample enrichment is approximately 1/50 of that for a [sup.13]C NMR spectrum (Knicker and Ludemann 1995).

H = DC magnetic field vector M = magnetization vector t = time variable [Gamma] =

gyromagnetic ratio [Alpha] = damping magnitude coefficient

where [omega]L = e/m[gamma] H is the frequency of Larmor precession, g is

gyromagnetic ratio, and [gamma] = (1 - [[beta].sup.2])-2.

where [alpha] is the damping constant, [[gamma].sub.0] is the

gyromagnetic ratio, [M.sub.s] is the saturation magnetization, [??] is the magnetization, and [[??].sub.eff] is the effective magnetic field,

The total cross section for this spin flip is on the order of [4[pi]([gamma][e.sup.2]/[m.sub.e][c.sup.2])] = 3.6b[3] ([gamma] = -1.91 is the

gyromagnetic ratio of the neutron, e is the charge of the electron, and [m.sub.e][c.sup.2] is the electron mass), which gives a spin-flip scattering probability of order 6 X [10.sup.-6].

[[Gamma].sub.m] =

gyromagnetic ratio of the ferrite material

In this equation, [[??].sub.F] is the magnetization of the free layer, [[??].sub.P] is the magnetization of the fixed layer, [gamma] is the

gyromagnetic ratio, [[??].sub.eff] is the effective magnetic field, [[alpha].sub.G] is the Gilbert damping constant, Ms is the saturation magnetization, and [[??].sub.STT] is STT.

The same technique as used to measure a solenoid's field in the proton

gyromagnetic ratio experiment [13] is used to measure a mutual inductance at dc that is independent of frequency.