# Principles of Magnetic Resonance (3rd Enlarged and Updated by Charles P. Slichter

By Charles P. Slichter

It is a textbook meant for graduate scholars who plan to paintings in nuclear magnetic resonance or electron spin resonance. The textual content describes the elemental rules of magnetic resonance, steady-state and pulse tools, the idea of the width, form and place of spectral absorption strains in addition to the idea of rest occasions. It additionally introduces the density matrix. This 3rd version provides new fabric to many elements, plus new sections on one- and two-dimensional Fourier remodel tools, a number of quantum coherence and magnetic resonance imaging.

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170) wuw o The integral of X"(w l ) is essentially the area under the absorption curve. We see that i[ may be computed if the static susceptibility is known. 171) The first tenn corresponds to absorption at frequency n. The second tenn simply makes x" an odd function of w. For this funclion, whal is X'(w)? x'(w) - X'(oo) = 2.. p J c{6(w' - m- 6(-w' - n>jdw' +00 wI-w 7l" -00 G or course, if we arc talking about a m... gnetic re>;onance exp·eriment with the static field in ~he z-direc~ion and the alternating field in the z-direetion, we are discussing Xu.

17. ,12, and 13 which specify thc beginning and end of the 1l/2 pulse (I 0, til and of the 1l pulse (t 12,13) = = It is now convenient 10 define the quamities T(t. 118) If , is positive, this will produce rotations about the effective field which are left handed. If, were itself negative, the rotations would be in the right-handed sense, as assumed in drawing Fig. 13. We do not set Ito '" 0 since we wish to represent the fact that owing to the inhomogeneity in }fo the typical spin is not perfectly at resonance.

190) would require knowledge of the wave functions and energy levels of the system. 190) to compute the so-called moments of the absorption line. We see that the only frequencies at which strong absorption will occur must correspond to transitions among states between which the magnetic moment has large matrix. elements. 3. 1 Introduction A number of physical phenomena may contribute to the width of a resonance line. The most prosaic is the lack of homogeneity of the applied static magnetic field.