Where S _ 0 is the signal intensity without the diffusion weighting, S is the signal with the gradient, \ gamma is the gyromagnetic ratio, G is the strength of the gradient pulse, \ delta is the duration of the pulse, \ Delta is the time between the two pulses, and finally, D is the diffusion-coefficient.
42.
Since the Larmor frequency is \ omega = \ gamma _ \ mu B, with a gyromagnetic ratio \ gamma _ \ mu = 851.616 Mrad ( sT ) " 1, the frequency spectrum obtained by means of this experimental arrangement ( usually referred to as Transverse Field, TF ?SR ) provides a direct measure of the internal magnetic field intensity distribution.
43.
The first taste of glory of the Dirac equation was it being able to account for the gyromagnetic ratio of the electron, that is g = 2, which can not be accounted for using non-relativistic QM . For several years after it's discovery, most physicists believed that it also described the Proton and the Neutron, which are both spin 1 / 2 particles.
44.
Where \ vec { \ tau } is the torque, \ vec { \ mu } is the magnetic dipole moment, \ vec { J } is the angular momentum vector, \ vec { B } is the external magnetic field, \ times symbolizes the cross product, and \ \ gamma is the gyromagnetic ratio which gives the proportionality constant between the magnetic moment and the angular momentum.
45.
PE, \ bar { \ gamma } ( " gamma bar " ) is the gyromagnetic ratio, " m " is the sample number in the FE direction and " n " is the sample number in the PE direction ( also known as " partition number " ), the 2D-Fourier Transform of this encoded signal results in a representation of the spin density distribution in two dimensions.
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